Kyla spends 60 minutes of each day exercising. Let be the number of days that Kyla exercises, and let represent the total minutes of exercise in a given time frame. Show the relationship between the number of days that Kyla exercises and the total minutes that she exercises.
What is the independent variable?

The answer is 427.7

To find the volume of a pyramid with a square base of side 8 and a height of 20, we need to follow these steps:

Step 1: Identify the formula for the volume of a pyramid. The formula is V = (1/3)Bh, where V is the volume, B is the area of the base, and h is the height.

Step 2: Calculate the area of the square base. Since the base is a square with a side length of 8, its area is 8 x 8 = 64 square units.

Step 3: Plug the values into the formula. Using the area of the base (B = 64) and the height (h = 20), we can now find the volume: V = (1/3)(64)(20).

Step 4: Calculate the volume. V = (1/3)(64)(20) = 64/3(20) = 1280/3 cubic units.

So, the volume of the pyramid is 1280/3 cubic units.

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Answer:

8x2-30x+27 has one root (9/4) the square of the other (3/2)

Step-by-step explanation:

8x2+30x+27 = (2*x+3)*(4*x+9)  => solution = {-3/2, -4/9}

One is not the square of the other because squares are positive.

8x2-30x+27 = (2*x-3)*(4*x-9)  =>

solution = {3/2, 4/9}   since (4/9 = (3/2)^2, therefore the preceding question is correct.

Answer:

Step-by-step explanation:  Hello!

I don't remember all of the postulates to these, but I hope this will help you! Vertical angles are congruent, so both angles SRT and PRQ are congruent.  This also means that line segments PQ and ST are congruent.  You also know that angles Q and S are congruent which is given.  By the ASA Theorem, when two angles and a side are congruent, then the triangles are congruent.

The process of finding the derivative of a function is called differentiation.

Differentiation is a fundamental concept in calculus that involves determining the rate at which a function changes with respect to its independent variable. It allows us to analyze the behavior of functions, such as finding slopes of curves, identifying critical points, and understanding the shape of graphs.

The derivative of a function represents the instantaneous rate of change of the function at any given point. It provides information about the slope of the tangent line to the graph of the function at a specific point.

The notation used to represent the derivative of a function f(x) with respect to x is f'(x) or dy/dx. The derivative can be interpreted as the limit of the difference quotient as the interval approaches zero, representing the infinitesimal change in the function.

By applying differentiation techniques, such as the power rule, product rule, chain rule, and others, we can find the derivative of a wide range of functions. Differentiation is a powerful tool used in various areas of mathematics, physics, engineering, economics, and other fields to analyze and solve problems involving rates of change.

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Geometric series means

Lets spot out common ratio

Its less than 1

Hence series converges

Sum:-

Answer:

Series converges

Sum = 192

Step-by-step explanation:

General form of geometric series:   \(a_n=ar^{n-1}\)

where:

Given series:  48, 36, 27, 81/4, ...

\(\implies a = 48\)

\(\implies r=\dfrac{a_2}{a_1}=\dfrac{36}{48}=\dfrac34\)

Geometric series converges when |r| < 1

Geometric series diverges when |r| ≥ 1

\(\textsf{As }r=\dfrac34\ \implies|\dfrac34| < 1\:\implies\:\textsf{series converges}\)

Sum of an infinite geometric series:

\(S_\infty=\dfrac{a}{1-r}\quad\textsf{for}\:|r| < 1\)

Substituting values of a and r:

\(\implies S_\infty=\dfrac{48}{1-\frac34}=192\)

Answer:

B. 15

Step-by-step explanation:

6×3= 18

18-3= 15

.........

Answer:

15 or B

Step-by-step explanation:

6(3) - 3 = 15

18 - 3 = 15

The number of trees on each acre of land, given that the trees are evenly spaced out, is 101 trees per acre

To find out how many trees are on each acre of land, we need to divide the total number of trees by the number of acres. This is given that the trees are spread out evenly as is the case here.

The number of trees per acre of land is therefore:

= Number of trees in total / Number of acres

= 3, 434 / 34

= 101 trees per acre

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Answer:

f(1)=5 f(0)=0 f(-1)=-3

Step-by-step explanation:

by pluging it in.

Answer:

They sold 38 phone cases.

Step-by-step explanation:

The equation I used to solve is

\(570 \div 15\)

by simplifying the number by 2 & 4 we get

=> 75:4

=> 37.5:2

=> 18.75:1

the simplest form of the numbers in ratio is 18.75 : 1...

hope this helps u out and Mark the brainliest :)

a. The stem and leaf plot for the given data can be constructed to visually represent the distribution of the record high temperatures for each state.

b. A frequency distribution table with 4 classes can be created to organize the data into intervals and count the number of occurrences within each interval.

c. The mean, median, and mode can be calculated to provide measures of central tendency for the data set.

d. The variance and standard deviation can be computed to determine the spread or variability of the data.

e. The interquartile range can be calculated to measure the dispersion of the middle 50% of the data.

a. To construct the stem and leaf plot, we separate each temperature value into a stem and leaf. The stem represents the tens digit, while the leaf represents the units digit. Here is the stem and leaf plot for the given data:

10 | 4

11 | 045566677899

12 | 011224

13 | 0013334445555778

14 | 4

b. To create a frequency distribution table with 4 classes, we divide the range of the data into four equal intervals. The classes and their corresponding frequencies are as follows:

104-113: 15

114-123: 19

124-133: 7

134-143: 2

c. The mean is calculated by summing all the values and dividing by the total number of values. The median is the middle value when the data is arranged in ascending order. The mode is the value that appears most frequently in the data set. In this case:

Mean: 115.68

Median: 116

Mode: 118

d. The variance measures the average squared deviation from the mean, while the standard deviation is the square root of the variance. Using the appropriate formulas, the variance is approximately 53.75, and the standard deviation is approximately 7.33.

e. The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1). By ordering the data and calculating the quartiles, we find:

Q1: 110

Q3: 118

IQR: 8

These calculations provide a summary of the distribution and characteristics of the given data set of record high temperatures for each state.

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An experiment with the sample space is (A\capB\capC)' = S \ (A\capB\capC) = S \ {c} = {a, b, d, e, f, g, h, i, j, k}

A\cupB\cupC\cupD = {a, b, c, d, e, f, g, h, i, j, k}

(B\cupC\cupD)' = S \ (B\cupC\cupD) = {a, c, d, e, g, i}

Using the notation ' to represent complement and \cap to represent intersection, we have:

A' = {b, d, f, h, i, j, k}

C' = {a, b, d, e, j, k}

D' = {c, e, f, i}

A\capB = {c}

A\capC = {c, g}

C\capD = {c, f, g, h, i}

Using the fact that (X)' = S \ X, we have:

(A\capB\capC)' = S \ (A\capB\capC) = S \ {c} = {a, b, d, e, f, g, h, i, j, k}

A\cupB\cupC\cupD = {a, b, c, d, e, f, g, h, i, j, k}

(B\cupC\cupD)' = S \ (B\cupC\cupD) = {a, c, d, e, g, i}

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Answer:

the formula is

base^2+height^2=hypotenuse^2

I hope it helps

have a nice day

if you still can't understand feel free to ask me

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Answer:

21

Step-by-step explanation:

Kindly check the image below to see a visual of how the question is set up.

( my apologies for the terrible handwriting lol )

Now lets look back at the question.

The question is asking us to find the total length of Jayleen and Walter's entire walk.  

Essentially it's asking for the perimeter.

In order to find the perimeter we must find the length of the hypotenuse.

Notice that the image created forms a triangle with a right angle.

That being said we can use the Pythagorean Theorem to solve for the missing side length ( or the "shortcut" ) ( also note that the Pythagorean theorem only works with right triangles )

The Pythagorean theorem = \(a^2+b^2=c^2\) where a and b = legs and c = hypotenuse

The two legs = 5 and 7 and the hypotenuse = the shortcut

That being said, we plug in the given values ( a and b ) and solve for "c"

\(5^2+7^2=c^2\)

step 1: Simplify

\(5^2=25\\7^2=49\\25+49=74\)

now we have 74 = c²

step 2 take the square root of each side

\(\sqrt{74} =8.60232\\\sqrt{c^2} =c\)

we're left with c = 8.60232

This means that the shortcut that Jayleen and Walter took had a distance of 8.6

Finally we find the perimeter of the triangle

Perimeter = sum of side lengths

8.6 + 7 + 5 = 20.6

* round to the nearest whole number *

The answer would be 21

Answer:

Scalene Traingle

Step-by-step explanation:

Because a scalene triangle has no congruent sides, but can be a right angle (90 degree)!

The surface area of the rectangular prism is 588 square yards. The total region or area covered by all the faces of a rectangular prism is defined as the surface area of a rectangular prism.

It is a three-dimensional shape. It has six faces, and all the faces are rectangular-shaped. Therefore, both the bases of a rectangular prism must also be rectangles.

- Face 1: 9 yards long and 6 yards high, so its area is 9 x 6 = 54 square yards.

- Face 2: 9 yards long and 6 yards high, so its area is 9 x 6 = 54 square yards.

- Face 3: 16 yards wide and 6 yards high, so its area is 16 x 6 = 96 square yards.

- Face 4: 16 yards wide and 6 yards high, so its area is 16 x 6 = 96 square yards.

- Face 5: 9 yards long and 16 yards wide, so its area is 9 x 16 = 144 square yards.

- Face 6: 9 yards long and 16 yards wide, so its area is 9 x 16 = 144 square yards.

The surface area =  54 + 54 + 96 + 96 + 144 + 144

= 588 square yards.

Surface area of the rectangular prism is 588 square yards.

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Answer:

264

Step-by-step explanation:

First let's try the distributive property first

(-12x3)+(-12x-25)

-36+(300)       Keep in mind that two negatives equal a positive

-36+300

264

There is another way to do this though

PEMDAS tells us to use what is in the parenthesis first so let's do that

-12(-22)    3-25 equals -22

264         Once again two negatives equal a positive

Your answer could be 264 or any one of these steps depending on what you need your answer to be but I'll put 264 as my "answer"

Answer:

what's the expression

Step-by-step explanation:

The probability that fewer than 125 were born in their state of residence if, In the U.S. census, 67.5% of the U.S. population were born in their state of residence. In a random sample of 200 Americans, is 0.03.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a value between 0 and 1.

Given:

In the U.S. census, 67.5% of the U.S. population were born in their state of residence. In a random sample of 200 Americans,

Calculate the probability that fewer than 125 were born in their state of residence as shown below,

P(x < 125) = \(\int _{125} ^ \infty fxdx\)

P(x < 125) = \(1 / \sqrt{2\pi\times 6.34} e^{-1/2(x - 123.\sqrt{2}/ 6.34 )}\)

P(x < 125) =0.0344

P(x < 125) = 0.03

Thus, the probability is 0.03.

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The answer calculates the original square footage of Eamon's home based on the $35 fee per square foot paid for adding 380 square feet past 25% of the original square footage. The original square footage of Eamon's home is 1,520 square feet.

Let's assume that the original square footage of Eamon's home was "x". According to the problem, he had to pay a fee of $35 for every square foot he added past 25% of the original square footage.

Therefore, the square footage he added to his home past 25% of the original square footage was:

380 - 0.25x

And the fee he paid was $2,800. So we can write an equation:

35(380 - 0.25x) = 2,800

Simplifying the equation, we get:

13,300 - 8.75x = 0

Solving for x, we get:

x = 1,520 square feet

Therefore, the original square footage of Eamon's home was 1,520 square feet.

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Answer:

the slope of W is less than the slope of Z

Step-by-step explanation:

Function Z

find slope take two points (0,15.8)  (1,15.76)

m=y2-y1/x2-x1

m=(15.76-15.8)/1-0

m=-0.04

the equation for function z : y=-0.04x+15.8

slope of W=-0.0625 which is less than -0.04

y intercept pf W=30, is greater than the y intercept of Z=15.8

Answer: The first statement is true.

Step-by-step explanation: The slope of function Z is -0.04 or - 1/25 The slope of function W is -0.0625 or -1/16.

Tricky! The absolute values of W are larger, but that makes the slope more negative.

This is the answer to your problem

The final equation is y =x-1.

To find the line that satisfies the given, we will use the two-point form

     \(y - y_{1} = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } (x - x_{1} )\)

Before we use this, however, we need to assign to the points given the variables they represent:

(-1, -2) and (4, 3)

\(x_{1} = -1\)

\(x_{2} = 4\)

\(y_{1} = -2\)

\(y_{2} = 3\)

Now, we will substitute these values

                     \(y - y_{1} = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } (x - x_{1} )\)

                 ⇒   \(y - (-2) = \frac{3 - (-2) }{4-(-1) } (x -(-1) )\)

                 ⇒  \(y +2 = \frac{3 +2 }{4 +1 } (x +1 )\)

                  ⇒    \(y +2 = \frac{5 }{5 } (x +1 )\)

                  ⇒  \(y +2 = x +1\)

                   ⇒    \(y = x -1\)

Thus, the final equation is y =x-1.

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Answer:

(1000-10/10)%

(990/10)%

99%

Step-by-step explanation:

who reported you (for no reason)?

Their present age are:

Vikas 's age = 15 years, Mother's age = 42 years  and

Grandmother's age = 64 years.

Let that present age of Vikash is x yrs.

So, his Mother's age= (x+27) yrs

Grandmother's age = (x+27+22) i.e., (x+49) yrs.

According to question,

   x+ (x+27)+ (x+49) = 121

⇒ 3x+ 76 = 121

⇒ 3x = 121-76

⇒ x= 45/3

⇒ x = 15

Therefore,

x = 15

Which means the age of Vikas is 15 years.

Now

So, mother's age will be = 15+27

                                        = 42 years.

And,

Grandmother's age = 15+49

                                = 64 years.

Hence, age of Vikash, his Mother and his Grandmother are 15 yrs, 42 yrs, and 64 yrs respectively.

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Answer:

39 feet

Step-by-step explanation:

for every 6.5 feet there is one inch

so you multiply  the amount of inches by 6.5

6.5 x 6 = 39

Answer:

39

Step-by-step explanation:

The right response is B. According to Option B, a data value X is regarded as an outlier if it deviates from the range Q1 - 1.5(IQR) to Q3 + 1.5. (IQR).

The right response is B.

The distance between the first quartile (Q1) and the third quartile in a box plot is known as the interquartile range (IQR) (Q3).

According to Option B, a data value X is regarded as an outlier if it deviates from the range Q1 - 1.5(IQR) to Q3 + 1.5. (IQR).

Although the range given in Option A is erroneous, the idea of an outlier being outside of a specific range based on the IQR is correct.

Option C's range, which is Q2 - 1.5(IQR) to Q2 + 1.5(IQR), is incorrect for locating outliers.

The phrase "TQR," which is uncommon in box plots, is mentioned in Option D. The range of Q2 -1.0(IQR) to Q2 +1.0(IQR) provided is incorrect for either locating outliers.

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