2(1 + 2k)
Simplify the expression... HELP

Answer:

hmmm say 5)13

Step-by-step explanation:

i can't explain it

The equation of the line is y = (-3/5)x + 16

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of a line is given by:

y = mx + c

The line passes through:

(-5, 19) and (5, 13)

So,

m = (13 - 19) / (5 + 5)

m = -6/10

m = -3/5

Now,

(5, 13) = (x, y)

13 = (-3/5) x 5 + c

13= -3 + c

13 + 3 = c

c = 16

Now,

y = mx + c

y = (-3/5)x + 16

Thus,

The equation of the line is y = (-3/5)x + 16

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There are 70 students in the school in total

There are 6 pennies in a total of 150 coins.

Given that,

Ninety of the 150 coins are quarters. 40 percent of the remaining coins are nickels, with the remainder being dimes and pennies.

and also,

For every penny, there are five dime.

Total = 150 coins

Out of it, 90 are quarters so the remaining coins are 60

It is said that,

In that 60 coins 40% are nickels which means

40% of 60 is 24

So remaining coins are 36 (by subtracting 24 from 60)

It is said that there are 5 dimes for every penny which means

Using Algebra,

x + 5x = 36

6x= 36

x= 6

Therefore, there are 6 pennies in a total of 150 coins.

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[tex](\stackrel{x_1}{-12}~,~\stackrel{y_1}{-56})\qquad (\stackrel{x_2}{-57}~,~\stackrel{y_2}{39}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{39}-\stackrel{y1}{(-56)}}}{\underset{run} {\underset{x_2}{-57}-\underset{x_1}{(-12)}}} \implies \cfrac{39 +56}{-57 +12} \implies \cfrac{ 95 }{ -45 } \implies {\Large \begin{array}{llll} - \cfrac{19 }{ 9 } \end{array}}[/tex]

Answer:

- 19/9

Step-by-step explanation:

The slope formula is y1 - y2 divided by x 1 - x2. What u do is u take the y coordinates from both points, and subtracted them. And you do he same for the x coordinates. Then you divide the y coordinates by the x coordinates. IN this case, this is how we would solve it.

-56 - 39 / -12 - (-57) = -95 / 45 = - 19/9

So, approximately 59 fish in the school would be longer than 92 cm.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign (=). The expressions on both sides of the equal sign can contain variables, constants, coefficients, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, logarithms, etc.

Here,

We can solve this problem using the normal distribution formula, which states:

z = (x - mu) / sigma

where z is the standard score, x is the raw score, mu is the mean, and sigma is the standard deviation.

To find the number of fish longer than 92 cm, we need to find the proportion of fish in the population with lengths greater than 92 cm. We can then multiply this proportion by the total number of fish in the school to get the number of fish longer than 92 cm.

First, we calculate the standard score for 92 cm:

z = (92 - 78) / 14

z = 1

Next, we look up the proportion of the standard normal distribution that corresponds to a z-score of 1. We can use a standard normal distribution table or calculator to find this value. The proportion of the distribution that is greater than z = 1 is approximately 0.1587.

Therefore, the proportion of fish in the population with lengths greater than 92 cm is 0.1587. To find the number of fish longer than 92 cm, we multiply this proportion by the total number of fish in the school:

370 * 0.1587 = 58.8

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The difference between exponents [tex](a^n)^m = a^{mn}[/tex] and [tex]a^nb^n = (ab)^n[/tex] has been described below

What are exponent?

Exponent tells us how many times a number is multiplied by itself.

For example : In [tex]2^4 = 2 \times 2 \times 2 \times 2[/tex]

Here, 2 is multiplied by itself 4 times.

If [tex]a^m = a \times a \times a \times....... \times a[/tex] (m times), a is the base and m is the index.

The laws of index are-

[tex]a^m \times a^n = a^{m + n}\\a^m \div a^n = a^{m-n}\\a^0 = 1\\a^{-n} = \frac{1}{a^n}\\\\a^m b^m = (ab)^m\\(\frac{a}{b})^n = \frac{a^n}{b^n}[/tex]

In case of  [tex](a^n)^m = a^{mn}[/tex], the base is single but in case of [tex]a^nb^n = (ab)^n[/tex], the base is a product of two numbers

If the base can be expressed as a product of different numbers,

[tex]a^nb^n = (ab)^n[/tex] is used

If the base cannot be expressed as a product, then [tex](a^n)^m = a^{mn}[/tex] is used

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Answer:

===========

Note:

Other sides are 2 and 11. This is not a correct question as sum of two smaller sides (2 + 6) is less than the longest one (11), hence there is no such possible triangle.

Answer:

4,600,000,000

Step-by-step explanation:

Don't forget the order of operations

3.243 × 10⁸/7.05

= 46,000,000 × 10²

= 4,600,000,000

or 4.6 × 10⁹

Answer:

4.6x10 to the power of 5

Step-by-step explanation:

7.05×10

2

3.243×10

8

​

Divide them.

\frac{3.243}{7.05}\times \frac{10^8}{10^2}

7.05

3.243

​

×

10

2

10

8

​

Divide numbers and 10's separeately.

0.46\times 10^6

0.46×10

6

Subtract exponents.

(4.6\times 10^{-1})\times 10^6

(4.6×10

−1

)×10

6

Rewrite as a number bigger than 1

4.6\times (10^{-1}\times 10^6)

4.6×(10 −1 ×10 6 )

Associate

4.6\times 10^5

4.6×10 5

Add exponents

Answer:

x=

Step-by-step explanation:

There are 2 ways to do this.

4(3x-9)=63; 12x-36=63; 12x=99; x=8. Or: (3x-9)+(3x-9)+(3x-9)+(3x-9)=63; 12x-36=63; 12x=99; x=

By applying the lowest common multiple approach, Kyra may have acquired up to 12 rocks.

What does common factor mean?

A common factor is a whole number that is a factor of at least two other numbers. The highest common factor is the largest factor that will divide into two or more numbers (HCF). The phrase "lowest common multiple" refers to the smallest multiple that two or more numbers have in common (LCM).

The least common multiple of 2, 3, and 4 can be used to determine how much rock Kyra has.

Several of:

2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20

3 = 3, 6, 9, 12, 15, 18, 21

4 = 4, 8, 12, 16, 20

The smallest number that 2, 3, and 4 have in common is 12. There are therefore 12 rock piles in Kyra's possession.

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Answer:

A relationship is proportional if each pair of data values are related in the same way, by multiplying by a factor. You can recognize a proportional relationship by looking at data, an equation, or a graph.

Step-by-step explanation:

Answer:
simply just divide!

Step-by-step explanation:

okay, here is one example:

in 3 hours, you went 126 miles

In 4 hours, you went 168 miles

In 5 hours, you went 210 miles

So what is the unit rate of the miles(x) per hour(y).

The smallest number would be easier to divide. So you divide 126 and 3 and would be 42 miles.

Then find the quotient for the other ones.
168 divide 4 = 42

210 divide 5 = 42.

What is the same of all of them? 42 is the factor to all of the problems. So the proportional relationship (k) is 42. In a equation it would be y=42x (y=Kx)

To find the next number in the sequence you just multiply (x) with the factor.

The coordinates of A'', applying the two rotations, are given as follows:

A'' (4, 3).

A rotation is one example of transformation that a function can undergo, in which the congruence and similarity of the images are kept but the orientation of the image changes.

The rules for each possible rotation are given as follows:

The original coordinates are given as follows:

A(-3,4).

After the first 180º clockwise rotation, the coordinates are:

A'(3,-4).

(signals exchanged)

After the final rotation, the 90º counterclockwise rotation, the coordinates of A'' are given as follows:

A'' (4, 3).

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The distance traveled by the car in 2hours is 120miles

Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

from the definition speed= distance/time

since the train has constant speed,therefore the speed of the car = 150/2 1/2

= 60miles/hour

Distance= speed×time

Therefore for a time of 2hours the train will cover

60×2= 120 miles

Therefore the distance covered in 2hours is 120miles

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In 286 ways are there to distribute seven identical apples and six identical pears to three distinct people.

There are 7 identical apples and 6 identical pears.

So total number of fruits here = 7+6 = 13 identical fruits

The number of ways to distribute 13 fruits in three distinct people is given by [tex]=^{13}C_3=286[/tex] ways.

Hence the number of ways is 286.

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Yes, as the asymptotic chi-squared distribution would emerge from normal approximating the binomial distribution and then squaring it.

Given statement;

Suppose that we use a hypothesis test to evaluate a claim about the proportion of narwhals with tusks longer than 3 meters. If we use a chi-squared test, would the value of our test statistic be the square of the standardized value of the statistic that we would have used if we had chosen a binomial test instead.

→ Yes, since by normal approximation of the binomial distribution and then squaring it would give us the resulting asymptotic chi-squared distribution.

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Answer:  

150 marks

Step-by-step explanation:

Every meter has 5 marks.

30 meters × 5 marks = 150 marks

For which population is 636363 wins a legitimate estimate of the average longest streak: Only the top 200200200 longest streaks worldwide in June

Mean = sum of data / Number of data

The 200200200 longest streaks weren't randomly selected from a larger population. They are not representative of all players in the world or Canada, but they are the top 200200200 longest streaks of all players. So,

Only the top 200200200 longest streaks worldwide in June will win.

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The first step is to find the increase in quantity.

The percentage increase is 10%.

From the information, the original quality is 1,500 and the new quality is 1,650.

The first step is to find the increase in quality will be:

= New quantity - Old quantity

= 1650 - 1500

= 150

The percentage increase will be:

= Increase / Old Quantity × 100

= 150 / 1500 × 100

= 10%

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Answer: 5468.9

Step-by-step explanation:

Answer:

I think its $90.75

Hopefully its right :)

The vertex of the quadratic equations is at (1, -1), then the vertex form will be:

y = 4*(x - 1)^2 - 1

For a quadratic equation with leading coefficient a and a vertex (h, k), the vertex form is:

y = a*(x - h)^2 + k

And for a equation: y = a*x^2 + b*x + c

The x-value of the vertex is at:

h = -b/2a

In this case, we have:

y = 4x^2 - 8x + 3

So the x-value of the vertex is at:

h = -(-8)/2*4 = 1

To get the y-value we evaluate in x = 1

y = 4*1^2 - 8*1 + 3

y = 4 - 8 + 3 = -1

The vertex is at (1, -1) and the leading coefficient is 4, then the vertex form is:

y = 4*(x - 1)^2 - 1

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There are 56 ways to choose a committee of students.

What is Combination?

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Given that;

A committee of five be selected from eight students if two particular students are to be included.

Now,

Since, 2 members are must be included.

So, We have to choose 3 student from 8 student to form a committee.

Hence, The number of ways to choose 3 students from 8 students is,

= [tex]^{8} C_{3}[/tex]

= 8! / (8-3)! 3!

= 8! / 5! 3!

= 8 x 7 x 6 / 3 x 2

= 56

Thus, There are 56 ways to choose a committee of students.

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The scale used is 1 cm : 3m

The area of the given trapezoid is 24 square inches.

Area of trapezoid:

Area of the trapezoid is referred as the total space covered by its sides.

The formula to calculate the area of the trapezoid is

A = ½ (a + b) h

where

(A) is the area of a trapezoid,

'a' and 'b' are the bases that are parallel sides,

and 'h' is the height that is the perpendicular distance between a and b

Given,

Here we have the values 8 in, 6 in, and 4 in

Through the given values we have to find the area of the trapezoid.

Let us consider the base values of the trapezoid are 8in and 6 in and the height as 4 in.

Now, we have all the side value of the trapezoid.

Then we have to apply it on the formula,

Then we get,

Area = 1/2 (8 + 6) x 4

Area = 2 x (12)

Area = 24

Therefore, the area of the trapezoid is 24 square inches.

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Answer:

b

Step-by-step explanation:

b

Answer: Amelia 5, Keturah 10, Jordan 6, Bryce 18

Step-by-step explanation:

If Amelia scored 5 and Keturah scored 2 times of Amelia's score, then 5 x 2 is 10, so Keturah scored 10. If Keturah scored 10 and Jordan scored 4 points fewer than Jordan's score, then 10 - 4 is 6, so Jordan scored 6. If Jordan scored 6 and Bryce scored 3 times of Jordan's score, then 6 x 3 is 18, so Bryce scored 18. So C is the correct answer.

Eight decimeters are the most logical measurement after eight weeks, according to the statistics.

A line is described as a collection of points that stretches in both directions indefinitely. It has a single-length dimension. Collinear points are points that are located on the same line. Two points form a line, which is shown below an arrowhead.

If a line intersects two spots [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the line's equation,

y - [tex]y_1[/tex] = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex](x - [tex]x_1[/tex])

It is evident from the above graph that the line goes through points (0,0) & (1,1). Consequently, the trend line's equation is

y - 0 = [tex]\frac{1 - 0}{1 - 0}[/tex](x - 0)

y = x

To determine the most acceptable measurement after 8 weeks, change x = 8 in the equation above.

y = 8

After eight weeks, 8 decimeters are the most realistic measurement.

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The question is -

Alexander was studying the effect of playing rock music on plant growth. One of the plants was exposed to rock music 24 hours a day for 6 weeks. Data on the growth of the plant was collected at the end of each week and plotted in a graph, with time in weeks on the X-axis and height in decimeters on the Y-axis. Based on the data, which would be the MOST reasonable measurement at the end of 8 weeks?

A) 2 decimeters

B) 6 decimeters

C) 8 decimeters

D) 16 decimeters

If Rod knows where he wants his portfolio to be over the long term, and he believes that he knows in which companies he wishes to invest. The appropriate financial professional for Rod is: a. Discount broker.

A Discount broker can be defined as a type of broker which gives out discount to investor to offers lesser commission fees or rate to investors

Discount broker tend to as well help to handle  the buying and selling of stocks and they as well rendered different services to investors. Most investors tend to make use of discount broker instead of full service broker because of the lower commission fees that discount brokers often charge.

Based on the given scenario i will recommend Rod to make use of discount broker as they are professional financial assistance when it comes to buying and selling of stocks.

Therefore the correct option is A.

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The complete question is:

Rod is looking for professional financial assistance. Rod has a solid grasp of how investing works, but needs a way to handle the actual buying and selling of stocks. Rod knows where he wants his portfolio to be over the long term, and he believes that he knows in which companies he wishes to invest. Recommend an appropriate financial professional for Rod.

a.Discount broker

b.Full-service broker

c.Financial planner

d.Investment Advisor

Answer:

The dive lasted approximately [tex] \boxed{\sf 2.76} [/tex] seconds.

Step-by-step explanation:

Given formula: h = 16t²

Where, t is time in seconds and h is the distance in feet traveled by a free-falling body or object.

According to the question,

Height of the cliff from which diver dives (h) = 122 feet.

By substituting the value of height in the formula we get:

[tex]\rm \implies 122 = 16 {t}^{2} \\ \\ \rm \implies {t}^{2} = \dfrac{122}{16} \\ \\\rm \implies {t}^{2} = 7.625 \\ \\ \rm \implies t = \sqrt{7.625} \\ \\ \rm \implies t = 2.76 \: seconds[/tex]

New current if the voltage is increased to 4 volts. = 0.1 A or 100 mA

What is a current simple definition?

amount of current flowing through the circuit is directly proportional to the amount of voltage applied to the circuit.

=> I  ∝  V

=> I  = V/R    

R is a constant

and R  is resistance

When 3 volts are applied to a circuit, 75 milliamperes of current flow through the circuit.

=> 75 x 10⁻³  = 3 /R

=> R = 3 x 10³/75

=> R =  10³/25

=> R = 40

I  = V/R    

V = 4

R = 40

=> I  = 4/40

=> I  = 1/10

=> I = 0.1 A

or 100 mA

new current if the voltage is increased to 4 volts. = 0.1 A or 100 mA

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