pls pls help due in an hour

Answer:

Using the Pythagorean theorem:

c^2 = a^2 + b^2

where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

Plugging in the given values:

c^2 = 48^2 + 14^2

c^2 = 2304 + 196

c^2 = 2500

Taking the square root of both sides:

c = √2500

c ≈ 50

Therefore, the length of the hypotenuse is about 50 cm (rounded to the nearest tenth).

So after solving  the value of x is approximately 18.7 inches .Here we can use basic propotionality theorem

Corresponding sides in similar triangles are those sides that share the same orientation in each triangle with respect to the angles. We can observe from the presented problem that:

Side AB of triangle ABC corresponds to side AE of triangle AEF.

Side BC of triangle ABC corresponds to side EF of triangle AEF.

Side AC of triangle ABC corresponds to side FA of triangle AEF.

These corresponding sides are in the same relative position in each triangle and are proportional to each other, which is the key property of similar triangles.

As a result of the similarities between triangles ABC and AEF, their respective sides are proportionate. With this information, we can construct a proportion and find x:

AB / AE = BC / EF

3 / 14 = 4 / x

3x = 56

x ≈ 18.7

So the value of x is approximately 18.7 inches.

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A team which had the best overall record for the season and the best measure of center to compare include the following: B. Falcons; they have a larger median value of 24 points

In Mathematics and Geometry, a median refers to the middle number (center) of a sorted data set, which is when the data set is either arranged in a descending order from the greatest to least or an ascending order the least to greatest.

From the data set for Eagles, we have:

3, 24, 14, 27, 10, 13, 10, 21, 24, 17, 27, 7, 40, 37, 55

Mean of Eagles = [3 +24+ 14 +27 +10+ 13+ 10 +21 +24+ 17+ 27+ 7+ 40+ 37 +55]/15

Mean of Eagles = 329/15

Mean of Eagles = 21.93 ≈ 22.

Median of Eagles = 21.

Median of Falcons = 24.

Since Falcons have both a larger mean and median value, the best measure of center to compare would is the mean.

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The value of x is 3 and solution is extraneous

Here, we have,

Solving equations

Given the equation below;

√8x+1 = 5

Square both sides to have;

8x+1 = 5^2

8x + 1 = 25

Subtract 1 from both sides

8x + 1 = 25 -1

8x = 24

x = 24/8

x = 3

Hence the value of x is 3

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If Ross family purchased washer and dryer set worth $1135 for 9 payments of $132.51 each, then the "interest-rate" of loan is 6.76%.

We first find the total amount of interest paid over the course of the loan.

The total amount of payments made will be:

⇒ 9 payments × $132.51 per payment = $1192.59,

We know that, total amount of interest paid is difference between total amount paid and the amount of original loan:

⇒ Interest = $1192.59 - $1135 = $57.59,

Now, we use formula for "simple-interest" to find percentage rate of loan:

⇒ Simple interest = (principal × rate × time)/100,

The principle is = $1135,

Time of loan in years is = 9/12 = 0.75 year, interest is = $57.59.

So, Rate = (100 × interest)/(principal x time),

Substituting the values,

We get,

⇒ Rate = (100 × $57.59)/($1135 × 0.75),

⇒ Rate = 6.76%

Therefore, the percentage rate of loan is 6.76%.

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The given question is incomplete, the complete question is

Ross family buys a washer and dryer set for $1135 and agrees to make 9 payments of $132.51 each, Find her percentage rate of the loan.

The values are

1. (2√2 + 1)² =  9 + 4√2

2. (√2 -√3)² =  5- 2√6

1. (2√2 + 1)²

Using the Algebraic Identity

(a+ b)² = a² + 2ab + b²

So, (2√2 + 1)²
= (2√2)² + 1²  + 2 (2√2)

= 8 + 1 + 4√2

= 9 + 4√2

2. (√2 -√3)²

Using the Algebraic Identity

(a- b)² = a² - 2ab + b²

So, (√2 -√3)²
= (√2)² + (√3)²  - 2 (√2)(√3)

= 2 + 3 - 2√6

= 5- 2√6

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To calculate the simple interest rate of the promissory note, we need to determine the total interest paid over the course of the 24 payments.

The total amount to be repaid is 24 x $56.25 = $1350.

The total interest paid is $1350 - $1250 = $100.

The simple interest rate can be calculated using the formula:

Simple Interest = (Total Interest / Principal) x (100 / Time)

where Principal is the amount borrowed, Time is the time period in years, and we multiply by 100 to express the interest rate as a percentage.

In this case, the Time period is 2 years (24 payments of 1 month each).

So, the simple interest rate is:

(100 / 1250) x (100 / 2) = 4%

Therefore, the answer is option (d) 4%.

The correct option is the: b The treatments are the organic and traditional fertilizer

Treatments are defined as what we want to compare in the experiment. It can consist of the levels of a single factor, a combination of levels of more than one factor, or of different quantities of an explanatory variable.

Treatments are usually administered to experimental units by 'level', where level implies amount or magnitude. For example, if the experimental units were given 5mg, 10mg, 15mg of a medication, those amounts would be three levels of the treatment.

Therefore, we can conclude that in this question, the treatments are the organic and traditional fertilizer.

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Answer:

y=mx+c but

Step-by-step explanation:

(,y1-y2÷x1-x2)=y1-y÷ x1-x

The volumes of the cones area s follows:

3. 5.2 inches cube

4. 188.4 inches cube

The volume of the cone can be found as follows:

volume of a cone = 1 / 3 πr²h

where

Therefore,

3.

volume of the cone = 1 / 3 πr²h

r = 1 inches

h = 5 inches

Hence,

volume of the cone = 1 / 3 × π × 1² × 5

volume of the cone = 5π / 3

volume of the cone = 5.2 inches³

4.

volume of the cone = 1 / 3 πr²h

r = 6 metres

h = 5 metres

Hence,

volume of the cone = 1 / 3 × π × 6² × 5

volume of the cone = 180π / 3

volume of the cone = 188.4 inches³

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The solution is: The remainder is 0.

A) 0

Here, we have,

When x is divided by 11, we have a quotient of y and a remainder of 3

x/11 = y + 3

x = 11y + 3 ........(1)

When x is divided by 19, we have a remainder of 3 also

x/19 = p + 3 (p = quotient)

x = 19p + 3 ..........(2)

Equate (1) and (2)

x = 11y + 3 = 19p + 3

11y + 3 = 19p + 3

11y = 19p + 3 -3

11y = 19p

Divide both sides by 11

11y/11 = 19p/11

y = 19p/11

y and p are integers. 19 is a prime number. P/11 is also an integer

y = 19(integer)

This implies that y is a multiple of 19.

When divided by 19, there is no remainder.

The remainder is 0.

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complete question:

When the positive integer x is divided by 11, the quotient is y and the remainder 3. When x is divided by 19, the remainder is also 3. What is the remainder when y is divided by 19?A. 0B. 1C. 2D. 3E. 4

Answer:

A) A pencil.

This means it would be best measured in grams. The answer is the pencil and it would be best measured in grams.

By identifying the vertex of the function, we conclude that it is decreasing for:

[tex]x < -3[/tex]

Here we have an absolute value function:

[tex]f(x) = -|x + 3| - 4[/tex]

This absolute value function has a positive coefficient, which means that the function opens downwards, so it looks like a regular "down" letter.

The function is decreasing when, reading from right to left, we see that the line goes downwards. And for functions like this, this happens for values of x smaller than the vertex x-value.

For:

[tex]f(x) = -|x + 3| - 4[/tex]

The vertex is at (-3, -4)

Then the function is decreasing for [tex]x < -3[/tex]

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3.33 is the final value of the given expression.

To simplify this expression, we first need to change the subtraction of a negative to an addition. We can do this by remembering the rule that says "Subtracting a negative is the same as adding a positive."

So, -2 1/3 - (-5) becomes -2 1/3 + 5.

Now, we need to convert the mixed number -2 1/3 to an improper fraction.

-2 1/3 is the same as -7/3, because 2 times 3 is 6, plus 1 is 7, and the denominator stays the same.

Therefore, -2 1/3 + 5 becomes -3+1/3

Now we can add the fractions by finding a common denominator, which is 3.33.

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18 percentage of all customers prefer sport drinks and tea.

Let's start by finding the total percentage of customers who prefer sport drinks:

55% prefer soft drinks, which means 100% - 55% = 45% prefer sport drinks.

Next, we need to find the percentage of sport drink customers who also prefer tea:

61% of those who prefer sport drinks also prefer coffee, which means 100% - 61% = 39% prefer tea.

Finally, we can calculate the percentage of all customers who prefer sport drinks and tea:

The percentage of customers who prefer sport drinks is 45%.

Of those sport drink customers, 39% also prefer tea.

Therefore, the percentage of all customers who prefer sport drinks and tea is 45% * 39% = 17.55%, which rounds up to 18%.

So, approximately 18% of all customers prefer sport drinks and tea. Therefore, the answer is 18% (rounded to the nearest whole percentage).

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Answer:

it is actually 39%

Step-by-step explanation:

I took the test and got it right.

This is why

55% prefer soft drinks, so 100 - 55 is 45%, which is how many people prfer sport drinks.

61% prefer coffee over tea of the 45% that prefer sport drinks.

we want to know the percentage that prefer sport drinks and tea so we subtract 100 - 61 to get 39%

That is the answer, 39%

Hope this helps, have a good day!

From the tally chart and line plot, it can be concluded that the most common number of books read by Hannah and her classmates last month was 2, and the median number of books read was 1.5.

Number is a mathematical object used to count, measure and label. It is a symbol or set of symbols used to represent a numerical quantity. It can also be used to represent a quantity in an equation or other mathematical expression. Numbers can be written using different number systems, such as the decimal system, the binary system and the hexadecimal system. They are also related to arithmetic operations such as addition, subtraction, multiplication, division and exponentiation.

Tally Chart:

Books Read: 0 |  |
Books Read: 1 |  |  |  |
Books Read: 2 |  |  |  |  |  |
Books Read: 3 |  |  |  |  |  |  |  |
Books Read: 4 |  |  |  |  |  |  |

Line Plot:

0 |  |
1 |  |  |  |
2 |  |  |  |  |  |
3 |  |  |  |  |  |  |  |
4 |  |  |  |  |  |  |

The line plot shows that the most common number of books read by Hannah and her classmates was 2. The least common number of books read was 0, with only 1 student reading 0 books. The next least common number of books read was 1, with 4 students reading 1 book. The third most common number of books read was 3, with 5 students reading 3 books. The fourth most common number of books read was 4, with 4 students reading 4 books.

To calculate the median number of books read, the data points from the line plot must be arranged in numerical order. This would be 0, 1, 2, 3, 4. Since there are an even number of points, the median is the average of the two middle numbers, which is 1.5.

From the tally chart and line plot, it can be concluded that the most common number of books read by Hannah and her classmates last month was 2, and the median number of books read was 1.5. This data suggests that many students were reading 2 books last month, but some students were reading fewer than 2 books.

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The percent error from 50 to 45 rounded to the nearest percent is 10%.

We have -

the correct value : 50

the calculated value : 45

We can write the %error as -

%error = |(calculated value - correct value)|/(calculated value) x 100

%error = |45 - 50|/50 x 100

%error = 5/50 x 100

%error = 10

So, the percent error from 50 to 45 rounded to the nearest percent is 10%.

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The probability that an earthquake striking this region will exceed 5.0 on the richter scale is approximately 0.121 or 12.1%.

To find the probability that an earthquake striking this region will exceed 5.0 on the richter scale, we need to use the cumulative distribution function (CDF) of the exponential distribution.

The CDF of the exponential distribution is given by:

[tex]F(x) = 1 - e^{(-\lambda x)}[/tex]

where λ is the rate parameter, which is equal to 1/mean for the exponential distribution.

So in this case, λ = 1/2.4 = 0.4167.

To find the probability that an earthquake will exceed 5.0 on the richter scale, we need to calculate:

P(X > 5) = 1 - P(X ≤ 5)

= 1 - F(5)

= [tex]1 - (1 - e^{(-0.4167*5))[/tex]

=[tex]e^{(-2.0835)[/tex]

= 0.121

Therefore, the probability that an earthquake striking this region will exceed 5.0 on the richter scale is approximately 0.121 or 12.1%.

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The mathematical expectation of the number of games played in this series is 4 games.

The mathematical expectation of the number of games in a series where the first team to win 4 games is declared the winner can be calculated using probability theory. Each game has a 50% chance of being won by either team, assuming the teams are evenly matched. Therefore, the probability of one team winning the series in exactly 4 games is (1/2)^4 or 1/16. The probability of one team winning the series in exactly 5 games is the probability of losing the first game and then winning the next four games or winning the first game and then winning three of the next four games. This can be calculated as (1/2)^5 * (4 choose 1) + (1/2)^5 * (4 choose 3) or 5/16. Similarly, the probabilities of one team winning the series in exactly 6, 7 or 8 games can be calculated as 10/32, 10/64 and 5/256 respectively. Therefore, the mathematical expectation of the number of games is the sum of the products of the number of games and their corresponding probabilities. This is (4*1/16) + (5*5/16) + (6*10/32) + (7*10/64) + (8*5/256) which simplifies to 33/8 or approximately 4.125 games.
The situation you described is a classic example of a negative binomial distribution. In this case, the winner of the series will be the first team to win 4 games. To find the mathematical expectation (mean) of the number of games played, we can use the formula for the negative binomial mean:

Mean = (r * (1-p))/p

Where "r" is the number of successes (4 wins) and "p" is the probability of success (0.5, since the teams are evenly matched).

Mean = (4 * (1-0.5))/0.5 = (4 * 0.5)/0.5 = 4

So, the mathematical expectation of the number of games played in this series is 4 games.

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Answer:

24.5 gallons of milk

Step-by-step explanation:

To calculate the total amount of milk needed daily, we need to find the total amount of milk consumed by all the students and convert it into gallons.

For grades 1 through 3, the total amount of milk consumed daily at lunch is:

12 fl. oz. x 212 students = 2,544 fl. oz.

For breakfast:

6 fl. oz. x 48 students = 288 fl. oz.

For kindergarten snack time:

8 fl. oz. x 38 students = 304 fl. oz.

Adding up all these amounts gives us the total amount of milk consumed daily:

2,544 fl. oz. + 288 fl. oz. + 304 fl. oz. = 3,136 fl. oz.

To convert this to gallons, we need to divide by 128 (the number of fluid ounces in a gallon):

3,136 fl. oz. ÷ 128 = 24.5 gallons (rounded to the nearest tenth)

Therefore, Chef needs approximately 24.5 gallons of milk daily to serve all the students.

The required answer of the word problem is the machine requires 0.051 hours to make 612000 aluminum cans.

The given question is a word problem which can be calculated as,

A machine working at a constant rate makes 3313 aluminium cans in one second.

Therefore, one aluminum can be produced in = 1/ 3313 seconds.

The machine makes 612000 aluminum cans.

Thus, 612000 aluminum cans can be produced in = (612000)*(1/3313) seconds = 184.7268336855 seconds

= 184. 72 seconds (approximately up to two decimal places)

We can convert the value in seconds to hours of the  given  problem as,

There are 3600 seconds in one hour.

That is, one second = 1/3600 hours.

Thus, the machine makes 612000 cans in = (184.72)*(1/3600) hours

= 0.0513111111 hours

= 0.051 hours ( approximately up to three decimal places)

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It will take approximately 12 days for the virus to grow from 70 to 310.

To calculate this, we can use the formula for exponential growth:

Nt = N0 x [tex]2^{(t/T)[/tex]

where Nt is the final population size, N0 is the initial population size, t is the time period, T is the doubling time, and 2 is the base of the exponential function.

Using the data given, we can solve for T:

So the doubling time of the virus is approximately 2.87 days.

To find how long it takes to grow from 70 to 310, we can use the same formula:

Therefore, it will take approximately 12 days for the virus to grow from 70 to 310.

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If coffee and cream are complements, an increase in the price of coffee will cause the demand for cream to fall.

If coffee and cream are complementary goods, it means that they are typically consumed together. For example, many people enjoy drinking coffee with cream as an additive. If the price of coffee increases, then the demand for coffee is likely to fall because consumers are less willing to purchase it at the higher price.

When the demand for coffee falls, the demand for cream is also likely to fall because people will be purchasing less coffee to which they would add cream. In other words, as the demand for coffee decreases, so does the demand for cream. This is because the two goods are consumed together, and a decrease in demand for one good affects the demand for the other good.

Therefore, the correct answer is that an increase in the price of coffee will cause the demand for cream to fall. It is important to note that this refers to a change in demand, not just a change in quantity demanded. If the price of coffee increases, the demand for cream will shift to the left, reflecting a decrease in overall demand for cream at all prices.

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There are 10 possible selections of groups of 2 students.

We have,

Number of students in chess club= 5

and, 2 students selected at random.

So, the possible number of selection

= C(5, 2)

= 5! / 2! (5-2)!

= 5!/ 2! 3!

= 5 x 4 /2

= 10

Thus, there are 10 possible selection.

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The area of the regular hexagon is approximately 428.5 cm².

The segment a that is drawn from the center of the polygon perpendicular to one of its sides is called the apothem.

To find the area of the polygon, we can use the formula:

Area = (1/2) × apothem × perimeter

We know that the apothem (a) is 7√3 cm and the side length (s) is 14 cm. To find the perimeter, we need to know how many sides the polygon has. Let's assume that it is a regular hexagon (a polygon with six sides), since that is a common shape.

The perimeter of a regular hexagon with side length s is given by:

Perimeter = 6s

Substituting s = 14 cm, we get:

Perimeter = 6(14) = 84 cm

Now we can plug in the values for apothem and perimeter into the formula for area:

Area = (1/2) × a  Perimeter

= (1/2) × 7√3 cm × 84 cm

≈ 428.5 cm²

Rounding to the nearest tenth and including the correct units, the area of the regular hexagon is approximately 428.5 cm².

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A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The slope of the lines is -1, and the equation of the parallel line is y = - x - 6.

Since, The parallel line passes through the points (-4,-2) and (-3,-3).

Therefore, the slope of the line is,

Slope = (-2 + 3) / (-4 + 3)

         = 1/-1

         = -1

Hence, The equation of the parallel line that is passing through point P is,

y = mx + c

y = -x + c

-3 = -(-3) + c

-3 -3 = c

c = -6

Hence, the slope of the lines is -1, and the equation of the parallel line is,

⇒ y = - x - 6.

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A sprinkler rotates across 120 degrees while watering a landscape. The sprinkler is 9 meters away from the farthest point reached by the water. The area of field watered is  84.848 m².

We need to locate the region of the grass that has been watered by the sprinkler.

We have a 9-meter distance and a 120-degree angle.

To begin, use the following formula to convert a given angle from degrees to radians:

radians = degree × π/180

= 120 × π/180

= π × 2/3

= 2π / 3

= 2.095 approx.

As a result, the formula for the area of the grass formed by water is:

A= 1/2 × r² ×  2.095

and because the radius is r=9 meters, the area equals:

A= 1/2 × 9² ×  2.095

=  1/2 × 81 ×  2.095

= 84.848 approx.

= 84.848 m².

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Answer:

x>4

Step-by-step explanation:

3-

Nehal Kafle

7(3x + 2) - 11x > 54

To solve the inequality 7(3x + 2) - 11x > 54, we need to simplify and isolate the variable on one side of the inequality sign.

First, we distribute the 7 on the left side:

21x + 14 - 11x > 54

Next, we combine like terms:

10x + 14 > 54

Then, we subtract 14 from both sides:

10x > 40

Finally, we divide both sides by 10:

x > 4

Therefore, the solution to the inequality 7(3x + 2) - 11x > 54 is x > 4.

Answer:14-14

Step-by-step explanation: