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Jocelyn participates in three track events: the 200-meter sprint, the 400-meter hurdles, and the 800-meter run. She calculated the mean absolute deviation of her race times throughout the season in each event.

200-meter sprint: mean absolute deviation of 2.05

400-meter hurdles: mean absolute deviation of 2.82

800-meter run: mean absolute deviation of 1.9

In which event were her times the most spread out?


A. 200 meter sprint

B. 800 meter run

C. 400 meter hurdles

The expression that represents the volume of the composite figure is (8*6*4)+ 1/3 * (8*6*6).

The volume of the composite figure will be the sum of the volume of the cube and the volume of the pyramid.

Volume of the cube = length*breadth*height

So, the volume of the cube = 8*6*4

The volume of the pyramid = 1/3 *(area of the base) * (height of the pyramid)

Area of the base of the pyramid = 8*6

Height of the pyramid = total height - height of the cube

Height of the pyramid = 10-4 =6

So, the volume of the pyramid = 1/3 * 8*6*6

So, total volume = (8*6*4)+ 1/3 * (8*6*6)

Hence, the expression that represents the volume of the composite figure is (8*6*4)+ 1/3 * (8*6*6).

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Answer:

D. One-half(2)(4.4)(5) + One-third (One-half)(2)(4.4)(3.9)

Step-by-step explanation:

E2020

Answer:

Step-by-step explanation:

See attached image.

1.  What would you use to graph the solution to an equation with one variable?      

I picked an example equation, y=2x+3, to demonstrate the impacts of changing condions.  It is the blue line.  I'm not sure how to answer the quesion "What would you use . . .", but my response would be "I would use DESMOS to graph the solution."  It is free, efficient, and very flexible.  It can handle multiple equations and a variety of functions.

2.  What would happen to the graph if all the y-values were increased by 1?

I added 1 to the right side of the equation to increase all the y values by 1.  It is the black line.  All points are raised by 1.

3.  What would happen to the graph if all the x-values were increased by 1?

I added +1 to each x value, shown as the red line.  All points are increased by 2 over the original line.

4.  What would happen to the graph if all the y-values were multiplied by 2 or by 1/2?

See Increeases2, attached.  The slopes of the lines are doubled when the y values are doubled, and decreased by (1/2) when they are multiplied by (1/2).  The y intercepts are also doubled or halved, respectively.

Answer:

-4

Step-by-step explanation:

Rate of Changes:

[tex]\displaystyle \large{\dfrac{\Delta y}{\Delta x}=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

Pick two values of x and y from the given table:

Therefore:

[tex]\displaystyle \large{\dfrac{\Delta y}{\Delta x}=\dfrac{5-13}{1-(-1)}}\\\displaystyle \large{\dfrac{\Delta y}{\Delta x}=\dfrac{-8}{1+1}}\\\displaystyle \large{\dfrac{\Delta y}{\Delta x}=\dfrac{-8}{2}}\\\displaystyle \large{\dfrac{\Delta y}{\Delta x}=-4}[/tex]

Therefore, rate of change is -4

Answer:

16pi ft^2

(the first answer)

Step-by-step explanation:

Answer:

2 1/3 cups of onions

Step-by-step explanation:

3 2/3-1 1/3= 2 1/3 cups

Answer:

1. ( w + 7 ) ( w + 2 )

2. ( x - 9 ) ( x - 5 )

Step-by-step explanation:

1.

w² + 9w + 14

= w² + 7w + 2w + 14

= w ( w + 7 ) + 2 ( w + 7 )

= ( w + 7 ) ( w + 2 )

Hence, factorised.

2.

x² - 14x + 45

= x² - 5x - 9x + 45

= x ( x - 5 ) - 9 ( x - 5 )

= ( x - 9 ) ( x - 5 )

Hence, factorised.

He will pay $200,000.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Your homeowners policy has a premium of $150, a deductible of $5000, and a limit of $300,000.

And,  Your home suffers $500,000 in damages.

Now,

Since, Homeowners policy has a premium of $150, So we can pay the amount = 12 x 150

           = $1,800

And,  Homeowners policy has a deductible of $5000.

Then, The remain amount = $500,000 - $5,000

                                        = $495,000

Since, The limit of the policy = $300,000

Hence, The remain amount = $495,000 - $300,000

                                           = $195,000

After including the deductible amount we get;

Deductible amount = $195,000 + $5,000

                             = $200,000

Thus, He will pay $200,000.

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Answer:

f'(0)= -2/5

Step-by-step explanation:

Answer:

call 911

Step-by-step explanation:

they serve anyone

Answer:

it would be +3

Step-by-step explanation:

This is he answer because +3 is equal to p+3 if pounds=p

By taking the quotient between the number of calls and the number of phone numbers, we see that each number was called 76 times.

We need to find the quotient between the total number of calls and the total number of phone numbers called.

We know that the total number of calls is 836, while it is equally distributed between 11 phone numbers.

The number of times that each of these numbers was called is given by:

N = 836/11 = 76

This means that he calls each number 76 times.

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Answer:

B

Step-by-step explanation:

Trial and error into (ABOUT/APPROXIMATELY)

y=12000(1.04)^x

The equation of the area of the rectangle is w(2w + 5) = 50. Then the correct option is C.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

A rectangle’s length is 5 inches more than twice its width. its area is 50 square inches.

Let the width of the rectangle be w, then the length of the rectangle will be (2w + 5).

Then the area of the rectangle is given as

Area = l × w

Then we have

w(2w + 5) = 50

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Answer:

7.2

Step-by-step explanation:

We know that the radius is always the same throughout the entire circle. That is, any line going from the center of the circle to the edges = radius. In this problem, radius = 20.9 and so does the other 4 lines going from the center of the circle to the edge.

Since there is a right angle, we know that both triangles are right triangles where hypotenuse, c = 20.9 and b = 19.6. To solve for x, use pythagorean theorem:

a² + b² = c²

x² + 19.6² = 20.9²

x² + 384.16 = 436.81

x = √(436.81 - 384.16)

x = √52.65

x ≈ 7.256

Hope this helps!

Answer:

p =1

q = 9

Step-by-step explanation:

f(x) = 2x³ - px² + 2qx + q

(x - 3) is a factor of f(x)

⇒f(3)  = 0

2(3)³ - p*3² - 2q*3 +q = 0

2*27 - 9p - 6q + q = 0

    54 - 9p - 5q = 0

            -9p - 5q = -54 -------------------(I)

(2x - 1) is a factor of f(x)

2x - 1 = 0

      2x = 1

        [tex]\st x = \dfrac{1}{2}[/tex]

f(1/2) = 0

[tex]2*(\dfrac{1}{2})^{3}-p*(\dfrac{1}{2})^{2}-2q*\dfrac{1}{2}+q=0\\\\2*\dfrac{1}{8}-p*\dfrac{1}{4}-q+q = 0\\\\\dfrac{1}{4}-\dfrac{1}{4}p =0\\\\[Multiply the entire equation by 4]\\\\4*\dfrac{1}{4}-4*\dfrac{1}{4}p=0\\\\[/tex]

1 - p = 0

    -p = -1

p = 1

Substitute p =1 in equation (I)

-9*1 - 5q = -54

 -9 - 5q = -54

      -5q = -54 + 9

      -5q = -45

           q = -45/(-5)

q = 9

Answer:

I think the answer is 3150 miles

I multiplied 1.50 by 21 and the answer I converted to miles

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Answer:

It is "The video game rentals cost more than the DVD rentals"

The value of the a, in the provided quadratic equation for which Nancy found one solution as x=1 is 9.

The solution of the quadratic equation is the solution of the variable of the equation, for which the equation satisfies.

Nancy found that x=1 is one solution to the quadratic equation. The quadratic equation is,

[tex](x +2)^2=a[/tex]

For this equation, one solution is x=1. Put this value in the above equation to get the value of a,

[tex](1 +2)^2=a\\(3)^2=a\\9=a\\a=9[/tex]

Thus, the value of the a, in the provided quadratic equation for which Nancy found one solution as x=1 is 9.

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Answer:

D. 9

Step-by-step explanation:

Answer:

Pilar did not include the   14.

The mean is 20.

The median is 15.5.

Step-by-step explanation:

The mean: [tex]\frac{12+15+15+16+18+44}{6} =20[/tex]

The median: 12, 15, 15, 16, 18, 44

The median is [tex]\frac{15+16}{2} =15.5[/tex]

Hope this helps

Answer:

20 tables

Step-by-step explanation:

200 guests, 10 guests per table. You need to divide 200 people into groups of ten. Therefore, you should form the equation 200/10. The answer would be 20.

Answer:

Required tables = [tex]200 \div 10 = \bf\: 20 \: tables[/tex]

A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself. However, 4 is composite because it is a product (2 × 2) in which both numbers are smaller than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order.

Answer:

159/250

Step-by-step explanation:

63.6% =

636/1000

divided by 2

318/500

divided by another 2

159/250

Answer:

159/250

Step-by-step explanation:

63.6% = 63.6÷100=.636

636/1000 divide each part by 2 (both are even numbers)

318/500 divide by 2 again (still even)

159/250 no more factors that are the same.

Without buying points, the time that will be taken to break even will be 6 years.

The monthly mortgage payment will be $1,250. Buying 1 point at closing would reduce the payment to $1,236.

1 point= $1000

The time taken will be:

Monthly savings = 4250/1236 = 14

Time taken = 7

1000/14 = 71.4 months

71.4/12=5.95 years = ~6 years

Thus, The time that will be taken to break even will be 6 years.

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Answer: 6

Step-by-step explanation:

Answer:

7 to the left, and up 2.

Step-by-step explanation:

Answer:

C. 2

Step-by-step explanation:

h/6 + h/3 = 1

h/6 + 2h/6 = 1

3h/6 = 1

3h = 6

h = 2

Answer:

18

Step-by-step explanation:

20+17+15=52

70-52=18

Hope it Helps

Answer:

70-(20+17+15)=$18

$18 of store credit left

Answer:

29

Step-by-step explanation:

3 x 48 = 144

144 ounces in pounds: 9 pounds

20pounds + 9 pounds = 29pounds