PLEASE HELP FAST!! IT IS URGENT!!​

PLEASE HELP FAST!! IT IS URGENT!!

Answers

Answer 1

The distance between the chord AB and the centre of the circle is [tex]4 - 2\sqrt{(13)} cm.[/tex]

The illustration displays an 8 cm long chord AB and a circle with an O centre and a 6 cm radius. We can draw a perpendicular from the circle's centre O to the chord AB and measure its length to get the distance between the chord and the circle's centre.

Let N be the place where the perpendicular from O intersects the chord AB, and let M be the chord's midpoint. The distance between the chord A and the centre O is then designated as ON.

M being the centre of AB, AM = BM = 4 cm is the result. Moreover, OM is the circle's 6 cm radius. Due to the fact that triangle OMA is a right triangle, we can determine the length of OA by applying the Pythagorean theorem:

[tex]OA^2 = OM^2 + AM^2[/tex]

[tex]OA^2 = 6^2 + 4^2[/tex]

[tex]OA^2 = 36 + 16[/tex]

[tex]OA^2 = 52[/tex]

[tex]OA = \sqrt{(52)} = 2\sqrt{(13)][/tex]

Similar to triangle OMB, which is a right triangle, we can get the length of OB by applying the Pythagorean theorem:

[tex]OB^2 = OM^2 + BM^2[/tex]

[tex]OB^2 = 6^2 + 4^2[/tex]

[tex]OB^2 = 36 + 16[/tex]

[tex]OB^2 = 52[/tex]

[tex]OB = \sqrt{(52)} = 2\sqrt{(13)[/tex]

As ON crosses through the midpoint M of AB and is perpendicular to AB, we have:

ON = BM – BO = 4 – 2 squares (13)

As a result, there are 4 – 2sqrt(13) cm between the chord AB and the circle's centre.

To know more about Circle visit:

brainly.com/question/16438223

#SPJ1


Related Questions

In complete sentences, explain how you would convert 840 cm to meters.

Answers

840 cm to meters is 8.4 meters

How to convert 840 centimetres to meters?

To convert a value/amount in centimetres to meters, the first step is to divide the value by 100. Once the value is divided by 100, the final answer can be gotten either in decimal or in whole number

From the question given, we were asked to convert 840 centimetres to meters

= 840/100

= 8.4

Hence 840 com converted to meters is 8.4m

Read more on meters here

https://brainly.com/question/9836123

#SPJ1

a.) Write an equation representing the area Bruce covered, y, in terms of the number of tiles he used, x.

b) write equation representing the area Felicia covered, y, in terms of the number of the tiles she used, x.

c) The person whose equation has the greater unit rate is the person whose tiles cover the most area per tile. Whose equation has the greater unit rate?

D) Using the slope -intercept program, enter the slope and the Y- intercept for Bruce's equation. Enter slope and y intercept for Felicias equation.

e) which line is steeper bruce or felicia? Whose slope is greater? Does this match the comparison from part c?
f) What does the greater unit rate, or slope, mean in terms of the solution? What can you conclude from this?

Answers

We can respond to that by addressing the problem at hand As a equation  result, Felicia's equation has a slope of B and a y-intercept of 0, whereas Bruce's equation has a slope of A and a y-intercept of 0.

What is equation?

A math equation is a procedure that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the calculation 3x + 5 = 14, the equal sign places a space between the values 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The logo and the specifically software are frequently the same. as in, 2x - 4 Equals 2, for instance.

Let A represent the area that each tile covers. Following that, the area that Bruce covered, y, in terms of the quantity of tiles he employed, x, is given by:

y = Ax

Similarly, Felicia covered the space, y, by using the following number of tiles, x:

y = Bx

B is the area that each tile utilised by Felicia covers.

d) The equations are as follows when written in slope-intercept form:

For Bruce, y = Ax + 0.

For Felicia, y = Bx + 0.

As a result, Felicia's equation has a slope of B and a y-intercept of 0, whereas Bruce's equation has a slope of A and a y-intercept of 0.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

In a certain country, approximately 22 out of 100 people over the age of 12 smoke. How many smokers would you expect in a group of 850 people over the age of 12?

Answers

Answer:

I would guess about 187 people out of the 850. I'm not really sure though.

Step-by-step explanation:

Answer:

People smoking= 187

Step-by-step explanation:
Take ratio of 22 people smoking out of 100,
[tex]\frac{22}{100}[/tex]
now take ratio of unknown people smoking to 850 that is,
[tex]\frac{x}{850}[/tex]
Compare them[i.e. take into proportion]
[tex]\frac{22}{100} = \frac{x}{850}[/tex]
[tex]\frac{22}{100} . 850 = x[/tex]
[tex]x= 187[/tex]

What ordered pairs in the sets shown below are the form XY in which set of ordered pairs is why a function of X

Answers

For y to be a function of x, each x-value in the set must be paired with only one y-value, there is no set in which y is a function of x.

What is function ?

A mathematical notion known as a function explains the relationship between two sets of elements known as the domain and the range. With no ambiguity or redundancy, it gives each element in the domain a specific element from the range.

To put it another way, a function is a law or a procedure that transforms an input (often denoted by the variable x) into an output (usually represented by the variable y). Applying the function rule to the input value yields the output value.

Functions are used in many branches of mathematics and science to simulate real-world occurrences and to address issues. They are frequently represented by equations, graphs, or tables. The following are some examples of functions: exponential, linear, quadratic, and trigonometric.

For y to be a function of x, each x-value in the set must be paired with only one y-value.

In set 1, x = 2 is paired with two different y-values (-1 and -3), so y is not a function of x in this set.In set 2, all three ordered pairs have the same x-value of 0, but different y-values. Therefore, y is not a function of x in this set.In set 3, x = 1 is paired with two different y-values (-1 and 0), so y is not a function of x in this set.In set 4, both x = -3 and x = 1 are paired with two different y-values, so y is not a function of x in this set.

Therefore, there is no set in which y is a function of x.

Learn more about  ordered pairs click here:

https://brainly.com/question/30241799

#SPJ1

Solve for x. 2+1/6x=-4

Answers

Answer:

x = -36

Step-by-step explanation:

Find the missing number so that the equation has no solutions.
5x + 18 = -x − 7 + x

Answers

The missing number in the equation is 4

How to determine the missing number

From the question, we have the following parameters that can be used in our computation:

5x + 18 = -x − 7 + x

Express the blanks properly

So, we have

5x + 18 = []x − 7 + x

For the equation to have no solution, the following must be true

5x = []x + x

So, we have

[]x = 4x

Divide

[] = 4

Hence, the missing number is 4

Read more about equation at

https://brainly.com/question/2972832

#SPJ1

What value of a makes both equations true?

Answers

Answer    Addition:  a + b.   The operation sign is +, and is called the plus sign.  Read a + b as "a plus b."

1)    For example, if a represents 3, and b represents 4, then a + b represents 7.

2)    Subtraction:  a − b.   The operation sign is −, and is called the minus sign.  Read a − b as "a minus b."

1)    If a represents 8, for example, and b represents 2, then a − b represents 6.

3)   Multiplication:  a · b.  Read a · b as "a times b."

The multiplication sign in algebra is a centered dot.  We do not use the multiplication cross ×, because we do not want to confuse it with the letter x.

And so if a represents 2, and b represents 5, then

a · b = 2 · 5 = 10.

"2 times 5 equals 10."

Do not confuse the centered dot -- 2·5, which in the United States means multiplication -- with the decimal point:  2.5.

However, we often omit the multiplication dot and simply write ab.  Read "a, b."  In other words, when there is no operation sign between two letters, or between a letter and a number, it always means multiplication.  2x  means  2 times r:

Step-by-step explanation:

After a self-assessment, the owner of Tony's Fresh and Hot Pizza Shop realizes that he lacks the
creativity to offer a large menu that competes with gourmet pizza shops. What is Tony's best
strategy for
successfully competing despite this weakness?
Start making something other than pizza.
O Promote his fast delivery service of hot pizzas.
O Buy a franchise gourmet pizza shop with a large menu.
Wait for gourmet pizza to go out of style.

Answers

Tony's should focus on identifying and leveraging its unique strengths and offering a differentiated value proposition to customers.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

As the owner of Tony's Fresh and Hot Pizza Shop lacks creativity in offering a large menu, the best strategy for successfully competing despite this weakness is to focus on a niche and differentiate from the competition.

One possible approach could be to specialize in a specific type of pizza, such as Chicago-style deep-dish or Neapolitan-style pizza, and offer a limited but high-quality menu of toppings and flavors. This would allow Tony's to establish a reputation for excellence in a particular style of pizza, which could attract a loyal customer base.

Another strategy could be to emphasize the convenience and speed of Tony's delivery service, promoting the fact that customers can get hot, fresh pizza delivered to their door quickly. This could appeal to busy customers who prioritize convenience over a large menu selection.

Buying a franchise gourmet pizza shop with a large menu might not be a feasible option for Tony's, as it would require a significant investment and might not align with the business's strengths or values.

Finally, waiting for gourmet pizza to go out of style is not a reliable or proactive strategy for success.

Therefore, Tony's should focus on identifying and leveraging its unique strengths and offering a differentiated value proposition to customers.

To learn more about Algebraic expression from given link.

https://brainly.com/question/28884894

#SPJ1

If a second random sample of 500 is selected, what is the probability that the two sample proportions are less than 3 percentage points apart?.

Answers

likelihood that the difference between the two sample proportions is smaller than 3 percentage points

To calculate the probability that two sample proportions are less than 3 percentage points apart, we need to use the sampling distribution of the difference between two sample proportions. Let p1 be the true population proportion for one group, and p2 be the true population proportion for another group. The standard deviation of the difference between two sample proportions can be calculated as:

√((p1 × (1-p1))/n1) + ((p2 × (1-p2))/n2)

where n1 and n2 are the sample sizes for the two groups. Since we do not know the true population proportions, we will use the sample proportions from the first sample as estimates. Let p1 be the sample proportion from the first sample, and p2 be the sample proportion from the second sample. Then, the standard deviation of the difference between the two sample proportions can be estimated as:

√((p1 × (1-p1))/n1) + ((p2 × (1-p2))/n2)

We are given that n1 = n2 = 500. Let's assume that p1 = p2 = p, where p is the sample proportion from the first sample. Then, the standard deviation of the difference between the two sample proportions can be estimated as:

√((p(1-p))/500) + ((p(1-p))/500)

= √(2p(1-p))/500

= √(p(1-p)/250)

Now, we want to find the probability that the two sample proportions are less than 3 percentage points apart, which means that the absolute value of the difference between the two sample proportions is less than 0.03.

|p1 - p2| < 0.03

|p1 - p| - |p2 - p| < 0.03

Since p1 - p2 = 0, we can simplify this to:

|p - p2| < 0.015

Using the standard normal distribution, we can calculate the probability that the standardized difference between p and p2 is less than 0.015:

P(|p - p2|/√(p(1-p)/250)] < 0.015/√(p(1-p)/250)

This is equivalent to finding the area under the standard normal distribution curve to the left and right of z = 0.015/√(p(1-p)/250).

However, we do not know the value of p, so we need to consider the worst-case scenario. The maximum value of p(1-p) occurs when p = 0.5, so we can use this value to get the most conservative estimate of the probability.

Using p = 0.5, we get:

P(|p - p2|/√(p(1-p)/250)] < 0.015/√(0.5 × (1-0.5)/250)

= P(|p - p2|/0.0346 < 0.015)

Using a standard normal distribution table or calculator, we can find that the probability that a standard normal variable is less than 0.015 is approximately 0.556.

Therefore, the probability that the two sample proportions are less than 3 percentage points.

To learn more about percentage click here

brainly.com/question/16797504

#SPJ1

What is the inverse of the function f(x) =(1/6x)^3?

Answers

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

[tex]\stackrel{f(x)}{y}~~ = ~~\left( \cfrac{x}{6} \right)^3\hspace{5em}\stackrel{\textit{quick switcheroo}}{x~~ = ~~\left( \cfrac{y}{6} \right)^3} \\\\\\ \sqrt[3]{x}=\cfrac{y}{6}\implies 6\sqrt[3]{x}=y=f^{-1}(x)[/tex]

a particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate into o kilometers per day. which expression, when evaluated, results in the correct units and numerical value?

Answers

The required expression is 0.109589 millimeters per day.

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, a particular beach is eroding at a rate of 4 centimeters per year, we need to convert it into millimeters per day

10 mm = 1 cm

4 cm = 4 × 10 = 40 mm

365 days = 1 year

rate to millimeters per day = 40 mm in 365 days

= 40/365  mm/day

= 8/73 mm/day

= 0.109589 mm/day.

Rate to millimeters per day = 0.109589 millimeters per day.

Hence, the required expression is 0.109589 millimeters per day.

Learn more about expression, click;

https://brainly.com/question/13947055

#SPJ9

If 6= X/5, what is the value of x

Answers

6 = x/5

5(6) = (x/5)5

30 = x


so , x =30

Answer:

The solution is x = 30

To solve this equation, we have to learn how to solve for a variable.

Firstly, we have to isolate the variable.

We have equation 6 = x/5. Since the x is divided by 5, and we want to isolate to get x, we can multiply each side by 5

6 · 5 = x·5/5

30 = 5x/5

The 5x/5 can be simplified firther because we can reduce 5/5 to 1

We are left with:

30 = 1x

x = 30

If you liked this answer, please mark brainliest!

A customer wants 5 pints of mango madness. If she has 64 oz of mango madness, will she have enough?

Answers

Answer:

Nope

Step-by-step explanation:

Each pint is 16 oz so she has 4 pints not 5.

Mr. Johnson tracked the number of hours spent reading by students in two different classes over summer break. Each dot represents a student.
Which statement correctly compares the data?

A. Although the mean number of hours spent reading by class A students is generally greater than the mean number of hours spent reading by class B students, the variability creates too much overlap for any conclusion to be made.

B. Class A students generally spent the exact same number of hours reading as class B students.

C. Class A students generally spent more hours reading than class B students.

D. Class B students generally spent more hours reading than class A students.

Answers

D is correct answer because class b is spending more hours

A scientist mixes water (containing no salt) with a solution that contains 20% salt. she wants to obtain 140 ounces of the mixture that is 15 % salt. How many ounces of water and how many ounces of the 20% salt solution should she use?

Answers

Answer:

the scientist needs to mix 35 ounces of water with 105 ounces of the 20% salt solution to obtain 140 ounces of the mixture that is 15% salt.

Step-by-step explanation:

Let's call the number of ounces of water that the scientist needs to mix with the salt solution "x". Then, the number of ounces of the 20% salt solution that she needs to use would be 140 - x (because the total amount of mixture is 140 ounces).

Now, we can set up an equation based on the amount of salt in the mixture:

0.15(140) = 0.20(140 - x) + 0(x)

This equation says that the amount of salt in the final mixture (which is 15% of 140 ounces) is equal to the amount of salt in the 20% salt solution plus the amount of salt in the water (which is 0, since water contains no salt).

We can simplify and solve for x:

21 = 28 - 0.2x

0.2x = 7

x = 35

Therefore, the scientist needs to mix 35 ounces of water with 105 ounces of the 20% salt solution to obtain 140 ounces of the mixture that is 15% salt.

Translate the sentence into an inequality.

Six times the sum of a number and 26 is greater than or equal to 24 .

Use the variable x for the unknown number.

Answers

A translation of the sentence "Six times the sum of a number and 26 is greater than or equal to 24" is 6(x + 26) ≥ 24.

How to translate an English phrase into an algebraic expression?

In order to translate a word problem into an algebraic expression, we would have to assign a variable to the unknown number:

Let the variable x represent the unknown number.

By translating the word problem into an algebraic expression, we have the following;

Six times the sum of a number and 26 is 6(26 + x)

6(26 + x) ≥ 24

Next, we would collect like-terms and rearrange the expression as follows;

6(26 + x) ≥ 24

26 + x ≥ 4

x ≥ -22

Read more on inequality here: brainly.com/question/27976143

#SPJ1

What number has 5 hundred thousands, 2 fewer ten thousands than hundred thousands, 2 more thousands than hundred thousands, 2 more hundreds than ten thousands, 2 fewer tens than hundred thousands, and the same number of ones as hundreds?

Answers

Answer:

537,535

Step-by-step explanation:

To solve this, we can first insert the 5 hundred thousands.

5 _ _, _ _ _

To solve for 2 fewer ten thousands than hundred thousands, we can use this equation:

5 - 2 = 3

Inserting 3 into the equation:

5 3 _, _ _ _

To solve for 2 more thousands than hundred thousands, we can use this equation:

5 + 2 = 7

Inserting 7 into the equation:

5 3 7, _ _ _

To solve for 2 more hundreds than ten thousands, we can use this equation:

3 + 2 = 5

Inserting 5 into the equation:

5 3 7, 5 _ _

To solve for 2 fewer tens than hundred thousands, we can use this equation:

5 - 2 = 3

Inserting 3 into the equation:

5 3 7, 5 3 _

To solve for the final one, the same number of ones as hundreds, we can just insert 5 into the equation.

5 3 7, 5 3 5

Therefore, the number is 537,535.

Jerry works at an electronics store. He earns 4% of the value of his sales.

a) During one week, Jerry sells $5000 worth of merchandise. How much commission will Jerry earn?

b) A week later, Jerry sells $6500 worth of merchandise. How much commission will he earn?

c) Calculate Jerry's average commission for these 2 weeks.

d) Use Jerry's average weekly commission to estimate his commission in 1 year.

Answers

The commission earned when sales is $5000 is $200.

The commission earned when sales is $6500 is $260.

The average commission is $230.

The estimate of the commission in one year is $11,960.

What is the commission?

Commission = percent commission x worth of good he sells

Commission earned when sales is $5000 = 4% x $5000

= 0.04 x 5000

= $200

Commission earned when sales is $6500 = 4% x $6,500 =

0.04 x $6500 = $260

Average commission = ($200 + $260) / 2

= $460 / 2 = $230

Estimate of commission in 1 year = average commission x number of weeks in a year

= $230 x 52 = $11,960

To learn more about multiplication, please check: https://brainly.com/question/3385014

#SPJ1

Mark is shopping for furnishings for his new apartment. At checkout the cashier said he could save some money if he signed up for a store credit card. Mark thought that sounded like a good idea! He was not sure of his new mailing address so he put down his last address, his mom's house. in the excitement of moving into his new apartment, Mark forgot he had signed up for the card.
Three months later, Mark's mom came to visit and brought some of his mail. There was a bill for $450 from this forgotten card. Mark was not happy! The APR on the card is 35% compounded monthly. How much was the original purchase?

Answers

The original purchase has the value given as follows:

$437.25.

What is compound interest?

The balance, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.

The parameters for this problem are given as follows:

A(t) = 450, t = 1/12(time in years, 1 month = 1/12 of an year), n = 12, r = 0.35.

Hence the cost of the purchase is the principal obtained as follows:

P(1 + 0.35/12)^(12 x 1/12) = 450

1.029167P = 450

P = 450/1.029167

P = $437.25.

More can be learned about compound interest at https://brainly.com/question/24274034

#SPJ1

A jogger runs 1 4/5 miles in 1/4 hour and continues jogging at the same rate. What is the jogger's speed in miles per hour?

Answers

Answer:

7.2 mi per hour

Step-by-step explanation:

take 1.8*4 so that the .25h turns to 1 then you get 7.2 mi per 1h

Answer:

7 [tex]\frac{1}{5}[/tex] miles per hour

Step-by-step explanation:

[tex]\frac{1\frac{4}{5} }{\frac{1}{4} }[/tex] = [tex]\frac{x}{1}[/tex]  Cross multiply and solve for x

[tex]\frac{1}{4}[/tex] x = 1 [tex]\frac{4}{5}[/tex]

1 [tex]\frac{4}{5}[/tex] can be written [tex]\frac{5}{5}[/tex] + [tex]\frac{4}{5}[/tex] = [tex]\frac{9}{5}[/tex]   ([tex]\frac{5}{5}[/tex] is another name for 1)

[tex]\frac{1}{4}[/tex] x = [tex]\frac{9}{5}[/tex]  multiply both sides by 4 ([tex]\frac{4}{1}[/tex] is another name for 4)

[tex]\frac{4}{1}[/tex] x [tex]\frac{1}{4}[/tex] x = [tex]\frac{4}{1}[/tex] x [tex]\frac{9}{5}[/tex]

[tex]\frac{4}{4}[/tex] x = [tex]\frac{36}{5}[/tex] (can be broken up to be [tex]\frac{5}{5}[/tex] + [tex]\frac{5}{5}[/tex] + [tex]\frac{5}{5}[/tex] + [tex]\frac{5}{5}[/tex] + [tex]\frac{5}{5}[/tex] + [tex]\frac{5}{5}[/tex] + [tex]\frac{5}{5}[/tex] + [tex]\frac{1}{5}[/tex])

x = 7 [tex]\frac{1}{5}[/tex]

Helping in the name of Jesus.

If you paid $26 to a loan company for the use of $1,129 for 151 days, what annual rate of interest did they charge? (Assume a 360-day year)

Answers

Answer:

Step-by-step explanation:

To find the annual rate of interest, we first need to calculate the total interest paid over the 151-day period. We can use the formula:

Interest = Principal x Rate x Time

where Principal is the amount borrowed, Rate is the annual interest rate (which we are trying to find), and Time is the time period in years.

Since the loan company assumes a 360-day year, we need to convert the 151-day period into a fraction of a year:

Time = 151 / 360 = 0.4194

Now we can plug in the given values and solve for the rate:

26 = 1,129 x Rate x 0.4194

Rate = 26 / (1,129 x 0.4194) = 0.0599 or 5.99%

Therefore, the loan company charged an annual interest rate of 5.99%.

Denise has 6 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 9mph and walks back at a speed of 3mph, how long should she plan to spend walking back?

Answers

Answer:

Step-by-step explanation:

Let's call the distance of the race "d".

When Denise runs the distance of the race at a speed of 9 mph, she takes:

time = distance / speed = d / 9

Then, when she walks back the same distance at a speed of 3 mph, she takes:

time = distance / speed = d / 3

Since she has a total of 6 hours for training, the sum of these two times must be less than or equal to 6 hours:

d/9 + d/3 ≤ 6

We can simplify this inequality by multiplying both sides by the least common multiple of the denominators, which is 9:

d + 3d ≤ 54

4d ≤ 54

d ≤ 13.5

Therefore, the distance of the race must be at most 13.5 miles.

To find the time Denise should plan to spend walking back, we can use the time formula for walking back:

time = distance / speed = d / 3

Since Denise has already spent time running the distance of the race, her total training time will be:

total time = time running + time walking back

total time = d/9 + d/3

We want to find the time for walking back, so we can solve this equation for d/3:

d/3 = total time - d/9

d/3 = (9total time - d)/9

4d/9 = 9total time/9

d = 36total time/13

Now we can substitute this expression for d into the time formula for walking back:

time walking back = d/3 = (36total time/13) / 3 = 12total time/13

Therefore, Denise should plan to spend 12/13 of her total training time walking back. For example, if she plans to train for 6 hours, she should spend about 5.54 hours (or 5 hours and 32 minutes) walking back.

Answer:

To solve this problem, we need to recall the formula d = rd (distance = rates x time)

She runs at a speed of 7 mph and walks at a speed of 3 mph.

Her distance running is

d = 7tr

where tr is the time she spends running

Her distance walking is

d = 3tw

where tw is the time she spends walking

The distances are the same so

7tr = 3tw

We also know that the total time is 4 hours

tr + tw = 4

tr = 4-tw

Substitute this value of tr in the first equation

7tr = 3tw

7(4-tw) = 3tw

28-7tw = 3tw

28 = 10tw

2.8 = tw

Denise will spend 2.8 hours (2 hours, 48 minutes) walking back and 1.2 hours (1 hour, 12 minutes running.

Solve the equation 2x^2 – 4x + 3 = 0 using the quadratic formula. Please show the steps.

Answers

Given:-[tex] \sf \: 2 {x}^{2} - 4x + 3 = 0[/tex]

[tex] \: [/tex]

By using quadratic equation formula :

[tex] \small \underline{ \sf \: \: a {x}^{2} + bx + c = 0 \: \: }[/tex]Formula:-[tex] \small { \pink{\star} \boxed{ \sf \color{purple}x = \frac{ - b \pm \sqrt{ {b}^{2} - ac } }{2a} \:} }[/tex]

[tex] \: [/tex]

Solution:-

[tex] \sf \: \: a = 2 , b = -4 , c = 3[/tex]

[tex] \: [/tex]

[tex] \sf \: x \: = \frac{ \cancel - ( \cancel- 4) \pm \sqrt{( - 4)^{2} - 4 \times 2 \times 3 } }{2 \times 2} [/tex]

[tex] \: [/tex]

[tex] \sf \: x \: = \frac{4 \pm \: \sqrt{16 - 24} }{4} [/tex]

[tex] \: [/tex]

[tex] \sf \: x = \frac{4 \pm \sqrt{ \cancel- 8} }{\cancel{4}}[/tex]

[tex] \: [/tex]

[tex] \underline{\boxed{ \sf \purple{ x = 4 \pm \sqrt{ - 2} }}}[/tex]

[tex] \: [/tex]

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

hope it helps! :)

a) 20% of £150

b) 15% of 80 kg

c) 85% of 2500 m

Answers

Answer:

30, 12, 2125

Step-by-step explanation:

A) .2 x 150 = 30

B) .15 x 80 = 12

C) .85 x 2500 = 2125

Helping in Jesus' name.

a pair of fair dice is rolled 20 times. What is the probability that a sum of 5 is rolled exactly 10 times? (Round 2 decimal places)

Answers

The probability that a sum of 5 is rolled exactly 10 times is 0.000677

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

The outcome to get the sum of 5 is (1, 4), (2, 3), (3, 2) and (4,1)

So, the The probability of the sum of 5 is 4/20 =-1/5.

Using Binomial Distribution

n = 20, p= 1/5, q= 4/5, x = 10

So, P( X= 10)

= C(20, 10) [tex](1/5)^{10}[/tex] [tex](4/5)^{10[/tex]

= 61,585.333 x 0. 0000001024 x 0.1073741824

= 0.000677

Learn more about Probability here:

https://brainly.com/question/30025692

#SPJ1

They buy the dyeing materials for $60 and white T-shirts for $2.50 each. They sell the finished shirts for $10 each. Write an equation for the money they collect, y, as a function of the number of T-shirts they buy, x.

Answers

The linear equatiοn shοws that the tοtal revenue cοllected, y, as a functiοn οf the number οf T-shirts prοduced, x is y = 10x - (60 + 2.50x)

What are linear equatiοns?

A linear equatiοn is an algebraic equatiοn that describes a straight line when plοtted οn a cοοrdinate system. It is an equatiοn in which the highest pοwer οf the variable(s) is 1, and the variables are nοt multiplied οr divided by each οther. In οther wοrds, a linear equatiοn is a pοlynοmial equatiοn οf degree 1.

Linear equatiοns can have οne οr mοre variables. In the case οf a single variable, a linear equatiοn has the fοrm:

ax + b = 0

Accοrding tο the questiοn:

Let's assume that the cοst οf dyeing materials and white T-shirts are the οnly expenses assοciated with prοducing a T-shirt. We can then write a linear equatiοn that relates the tοtal revenue, y, tο the number οf T-shirts prοduced, x:

y = 10x - (60 + 2.50x)

The right-hand side οf the equatiοn represents the tοtal revenue frοm selling x T-shirts, after subtracting the tοtal cοst οf prοductiοn. The first term, 10x, represents the revenue frοm selling x T-shirts at a price οf $10 per T-shirt. The secοnd term, (60 + 2.50x), represents the tοtal cοst οf prοductiοn, including the cοst οf dyeing materials and white T-shirts.

Sο, the equatiοn shοws that the tοtal revenue cοllected, y, is a functiοn οf the number οf T-shirts prοduced, x.

To know more about Linear equation visit:

brainly.com/question/12974594

#SPJ1

Adrian cuts a block of wood as shown.
What is the volume of the block of wood?

Answer in cubic centimeters.

A: 486
B: 432
C: 515
D: 411​

Answers

The volume of a block of wood is 432 cubic centimeters.

What is volume?

The volume of a thing is the area that it occupies in three dimensions. Space is what a thing occupies, to put it simply.

Given that a composite figure of a block of wood.

To find the volume of the composite figure:

First, find the volume of the rectangular prism,

the volume of the rectangular prism = 12 x 4.5 x 5.5

The volume of the rectangular prism = 297 cubic centimeters.

Now, the volume of the triangular prism = 1/2 x base area x height of the prism

The volume of the triangular prism = 1/2 x 12 x 4.5 x 5

The volume of the triangular prism = 135 cubic centimeters.

The volume of the composite figure = 135 + 297 = 432 cubic centimeters.

Therefore, the total volume is 432 cubic centimeters.

To learn more about the volume;

https://brainly.com/question/23477586

#SPJ9

Josiah says to Mia “if you give me 8.50, we will have an equal amount of money.” Mia responds, “That may be true,but if you give me 8.50 instead, I will have twice as much money as you” How much money did hoaxing and Mia each have in the beginning?

Please show as much work as possible
On paper if possible

Answers

From Josiah's statement, we know that if Mia gives him $8.50, they will have an equal amount of money. This can be expressed as:

J + 8.50 = M - 8.50

Simplifying this equation, we get:

J = M - 17

From Mia's statement, we know that if Josiah gives her $8.50, she will have twice as much money as Josiah. This can be expressed as:

M + 8.50 = 2(J - 8.50)

Substituting J = M - 17, we get:

M + 8.50 = 2(M - 17 - 8.50)

Simplifying this equation, we get:

M + 8.50 = 2M - 51

Solving for M, we get:

M = 59.50

Substituting M = 59.50 into J = M - 17, we get:

J = 42.50

Therefore, Josiah had $42.50 in the beginning, and Mia had $59.50.

I don’t know what I’m doing wrong. The answers aren’t matching up. I got 15/64 for A.

Answers

The probability of getting four heads in six flips of a fair coin is:

C(6,4) * (1/2)²4 * (1/2)²2 = 15/64

where C(6,4) is the number of ways to choose 4 flips out of 6, which is equal to 15.

Therefore, the answer is:

a. 15/64 matches with the value 15/64.

The probability of getting no more than 1 head in six flips of a fair coin is:

P(0 heads) + P(1 head) = C(6,0) * (1/2)²0 * (1/2)²6 + C(6,1) * (1/2)²1 * (1/2)²5 = 1/64 + 6/64 = 7/64

where C(6,0) is the number of ways to choose 0 flips out of 6, which is equal to 1, and C(6,1) is the number of ways to choose 1 flip out of 6, which is equal to 6.

Therefore, the answer is:

b. 7/64 matches with the value 7/64.

The probability of getting 1 or 2 heads in six flips of a fair coin is:

P(1 head) + P(2 heads) = C(6,1) * (1/2)²1 * (1/2)²5 + C(6,2) * (1/2)^2 * (1/2)²4 = 6/64 + 15/64 = 21/64

where C(6,1) is the number of ways to choose 1 flip out of 6, which is equal to 6, and C(6,2) is the number of ways to choose 2 flips out of 6, which is equal to 15.

Therefore, the answer is:

The probability of getting 1 or 2 heads matches with the value c. 21/64.

The probability of getting no more than 2 heads in six flips of a fair coin is:

P(0 heads) + P(1 head) + P(2 heads) = C(6,0) * (1/2)²0 * (1/2)^6 + C(6,1) * (1/2)²1 * (1/2)²5 + C(6,2) * (1/2)²2 * (1/2)²4 = 1/64 + 6/64 + 15/64 = 22/64 = 11/32

where C(6,0) is the number of ways to choose 0 flips out of 6, which is equal to 1, C(6,1) is the number of ways to choose 1 flip out of 6, which is equal to 6, and C(6,2) is the number of ways to choose 2 flips out of 6, which is equal to 15.

Therefore, the answer is:

The probability of getting no more than 2 heads matches with the value d. 11/32.

The probability of getting an even number of heads in six flips of a fair coin is equal to the sum of the probabilities of getting 0, 2, 4, or 6 heads:

P(0 heads) + P(2 heads) + P(4 heads) + P(6 heads) = C(6,0) * (1/2)²0 * (1/2)²6 + C(6,2) * (1/2)²2 * (1/2)²4 + C(6,4) * (1/2)²4 * (1/2)²2 + C(6,6) * (1/2)²6 * (1/2)²0

= 1/64 + 15/64 + 15/64 + 1/64

= 32/64

= 1/2

where C(6,k) is the number of ways to choose k flips out of 6.

Therefore, the answer is:

The probability of getting an even number of heads matches with the value e.  1/2.

The probability of getting an odd number of heads in six flips of a fair coin is equal to the sum of the probabilities of getting 1, 3, or 5 heads:

P(1 head) + P(3 heads) + P(5 heads) = C(6,1) * (1/2)²1 * (1/2)²5 + C(6,3) * (1/2)²3 * (1/2)²3 + C(6,5) * (1/2)²5 * (1/2)²1

= 6/64 + 20/64 + 6/64

= 32/64

= 1/2

where C(6,k) is the number of ways to choose k flips out of 6.

Therefore, the answer is:

The probability of getting an odd number of heads matches with the value f. 1/2.

What is Probability?

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

To know more about Probability visit:

https://brainly.com/question/30034780

#SPJ1

Question 4 Here is a graph of p, an insect population, w weeks after it was first measured. The population grows exponentially. р (3,8100) (1,900) W What is the weekly factor of growth for the insect population?​

Answers

The range and the domain of the graph are the sets of non-negative real numbers, while the equation relating p and w is [tex]P = 300 * 3^w[/tex]

What are exponential growth and decay?

A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay. Over time, exponential functions monitor constant growth. Examples from the actual world include radioactive decay, compound interest, and bacterial proliferation.

From the graph, we have the following ordered pairs

(1,900) and (3,8100)

An exponential function is represented as:

[tex]P = ab^w[/tex]

At the point (1,900), we have:

ab = 900

At the point (3,8100), we have:

ab³ = 8100

Divide both equations

[tex]\frac{ab^3}{ab} = \frac{8100}{900}[/tex]

Evaluate the quotients

b² = 9

Take the square roots of both sides

b = 3

Recall that:

ab = 900

So, we have:

3a = 900

Solve for a

a= 300

Hence, the equation is:

[tex]P = 300 * 3^w[/tex]

Learn more about exponential growth and decay here:

https://brainly.com/question/17161065

#SPJ1

Complete question:

Other Questions
your science teacher, Mrs.waters, informs you that most rivers carry tiny particles that you could not see very well. what is Mrs. Waters describing Who is the antagonist in the story twenty one balloons? Also provide a quotation from the text and include the page number. work out the circumferrence of this circle 14cm diameter give your answer in terms of pi and state its units what is the investors expected after-tax internal rate of return on equity invested (atirr)? Some friends played a board game. During the game, one unlucky player had to move back 8 spaces6 turns in a row. Find a number to represent that player's movements for those 6 turns. The number represents that player's movements for those 6 turns. What is the vapour pressure of water at 37 degrees? No one need wonder at the disorganization, at the fragmentary condition of everything, when we remember that man, who represents but half a complete being, with but half an idea on every subject, has undertaken the absolute control of all sublunary matters.The Destructive Male,Elizabeth Cady StantonWhich sentence best explains how irony impacts this portion of the text?The irony makes the reader doubt what Stanton is claiming.The irony makes the audience wonder why men have total authority.The irony is included to give an example of sublunary matters.The irony helps Stanton persuade the reader by posing an interesting question. Harry loves to read a book before __ along with glass of milk to make him sleep ease help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help Which expression is equivelant to...? The function has a discontinuity at x = 1. What are limit of f (x) as x approaches 1 minus and limit of f (x) as x approaches 1 plus? limit of f (x) = 2 as x approaches 1 minus. Limit of f (x) = 9 as x approaches 1 plus. Limit of f (x) = 9 as x approaches 1 minus. Limit of f (x) = 2 as x approaches 1 plus. Limit of f (x) = negative 4 as x approaches 1 minus. Limit of f (x) = negative 4 as x approaches 1 plus. Limit of f (x) d n e as x approaches 1 minus. Limit of f (x) d n e as x approaches 1 plus. Austin made a paper airplane that flies at a rate of 23 feet in 3 seconds if the paper airplane continues to fly at this rate how far will it go in 18 seconds To save the changes to the layout of a table, click the Save button on the _____ Would it make more sense for an electric company to charge by the joule or by the watt? Explain. what are the major inputs in horticulture how to create business rules from erd diagrma Liz is trying to remember what she read in a textbook chapter, but she inadvertently mixes into her recall her own assumptions about the material covered in the chapter. this is an example of:_________ Read this paragraph.Youths who were offered a chance at social activism turned out in droves at Milbrook High School yesterday afternoon. A poster in the hall had advertised simply, "Get involved! You can change lives! This raised students curiosity, and many attended a meeting that introduced a neighborhood tutoring program. More than fifty students signed up to tutor children at nearby elementary schools.Which statement describes the narrative voice of this paragraph?The paragraph has a first-person narrator offering thoughts and feelings.The paragraph has a second-person narrator addressing the reader.The paragraph has a third-person narrator sharing observations.The paragraph has an omniscient narrator with knowledge of the future. What are 3 arguments against imperialism? During the recreation movement, the conviction was that leisure could contribute toAmerican intellectual heritageTrueFalse