As runners in a marathon go by, volunteers hand them small cone shaped cups of water. The cups have the dimensions shown. Abigail sloshes 2/3 of the water out of her cup before she gets a chance to drink any. What is the volume of water remaining in Abigail's cup?

Answer:

C

Step-by-step explanation:

I remember the answer

Answer:

1/6 16.667%

Step-by-step explanation:

less than 5

36 total outcomes

6 desired outcomes

6/6=  1

36/6=6

Answer:

Most likely A

Step-by-step explanation:

Answer:

8(4+x)= 64

(8*4)+(8*x)= 64

8x+32= 64

8x= 64-32

8x= 32

x= 32/8

x= 4

Answer:

100 Cos 40° + 100 Sin 40° ≈ 141 yards

Step-by-step explanation:

From the diagram, side x is adjacent to the angle 40° while side y is the opposite to that same angle

This means that;

Cos 40° = x/100

x = 100 Cos 40°

Sin 40° = y/100

y = 100 Sin 40°

Therefore, total distance walked = x + y

                         "                             = 100 Cos 40° + 100 Sin 40° ≈ 141 yards

Answer: h (x) = RootIndex 3 StartRoot x + 2 EndRoot

Step-by-step explanation:

Answer:

option2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

In slope intercept form equations, y = 0.5x - 2 for example,

0.5 would be m or the slope, and the number after the x - 2 would

be your y-intercept

Answer:

2.5

Step-by-step explanation:

as u divide and have to add and multiply both nimbera

Answer:

x = -1

Step-by-step explanation:

because both lines intersects at -1.

Answer:

x=-1

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

She finds her average resting heart rate to be 62 after  5 days.

That means, average of the 5 heart rate pulse=62

If the last day was 58 and all the other days were the same.

Let x be her pulse on the other days,

Then,

[tex]Average, 62=\dfrac{58+4x}{5}\\\text{Cross Multiply}\\58+4x=62 X 5\\\text{Suntract 58 from both sides}\\4x=(62X5)-58\\4x=310-58\\4x=252\\\text{Divide both sides by 4}\\x=63[/tex]

Her pulse on all the other days is 63.

Answer:

[tex]-1,0,1,[/tex]

Step-by-step explanation:

x²≤3

|x|≤√3

Hence, $x\leqslant \sqrt 3$ or $ x\geqslant -\sqrt 3$

Answer:

3 and 6

Step-by-step explanation:

hello

i hope it help

To find how many projects can be completed, divide the total amount of clay Mrs. Kenny has by the amount of clay required for each project. However, the question seems to be missing the values for the total amount of clay and the amount required per project.

Mrs. Kenny is teaching a ceramics class where she uses clay for her projects. As stated, it seems there is a portion of the question omitted which is the number of pounds of clay Mrs. Kenny has and the amount required for each project. Ideally, the number of projects Mrs. Kenny can complete is determined by dividing the total weight of the clay she has by the weight of clay required for each project. For instance, if Mrs. Kenny has 3 pounds of clay and each project requires 1/2 pound of clay, she would be able to complete 6 projects (3 divided by 1/2 = 6).

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Answer:

(2pi)/5

Step-by-step explanation:

The cosine function cos(x) has a period of 2*pi.

If we change the argument of the cosine, the new argument will have a period of 2*pi. If the new argument is 5x, we have that the period will be:

5x = 2*pi

x = 2*pi/5

The period of this function will be (2pi)/5, because for every (2pi)/5 change in the value of x, the function will have the same value. The value of 5 multiplying the cosine does not interfere in the period.

Answer:

y intercept

Step-by-step explanation:

Answer:

1/4 clove

Step-by-step explanation:

Each serving of Nancy's spaghetti and meatballs recipe contains a quarter (or 0.25) of a garlic clove.

In the given scenario, Nancy's spaghetti and meatballs recipe asks for 2 cloves of garlic and yields 8 servings. Hence, to find out the amount of garlic in each serving, we need to divide the total cloves of garlic by the number of servings. Hence,

Garlic per serving = Total garlic / Number of servings

Here's how to do the math:

Garlic per serving = 2 cloves / 8 servings = 0.25 cloves per serving

So, there is 0.25 or a quarter of a garlic clove in each serving of Nancy's spaghetti and meatballs recipe.

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Answer:

3 hours and 16 minutes or 3.16 for Frank to finish the race

Step-by-step explanation:

60 miles long Frank is going 19 miles an hour

60 divided by 19 3.157 rounded up 3.16

Using the distance and speed, we calculate the time it takes for Frank to complete the bike race. He averages a speed of 19 miles per hour for a 60-mile race, which means it will take him approximately 3.16 hours to finish.

This question is about solving a typical problem in math - specifically, calculating time with information on distance and speed. To figure out how long it would take Frank to finish the 60-mile bike race, we use the formula Time = Distance / Speed. Given that Frank averages a speed of 19 miles an hour, we divide the total distance (60 miles) by his average speed (19 mph).

So, 60/19 ≈ 3.16. That means Frank will take approximately 3.16 hour to complete the bike race.

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Answer:

C,D,F

Step-by-step explanation:

8, 15, 17

10, 24, 26

28, 45, 5

Answer:

C,D,F

Step-by-step explanation:

I took test and got 100

Answer:

there arent any options but this is what i got

− b + 13

Step-by-step explanation:

Final answer:

The difference expression (6b+9) – (7b — 4) simplifies to -b + 13 after distributing the negative sign and combining like terms.

Explanation:

The expression representing the difference (6b+9) – (7b — 4) is obtained through the subtraction of the second polynomial from the first. To perform the subtraction, one must distribute the negative sign to the terms within the second polynomial, which flips the signs of the terms inside the parentheses. Therefore, the subtraction becomes:

(6b + 9) + (-7b + 4)

Now, combine like terms:

Combine the b terms: 6b - 7b = -1b

Combine the constant terms: 9 + 4 = 13

After combining like terms, the final simplified expression is -1b + 13 or simply -b + 13.

Answer:About 60%

Step-by-step explanation:

Answer:

.15

Step-by-step explanation:

0.83 = 0.72 + 0.26 - P(R and C)

P(R and C) = 0.15.

Answer:

(3,2)

Step-by-step explanation:

A: (3,2)

Since A lies on the mirror line, it will mapped onto itself

A': (3,2)

The required coordinate of image A' is given as (3, 2). Option B is correct.

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

Here,

The Coordinate of A is (3, 2) and the equation of a line is x = 3, since
Point A lies on line x = 3, so the image of the point overlapped the original point. Although the coordinate of the image A' is given as (3, 2)

Thus, the required coordinate of image A' is given as (3, 2). Option B is correct.

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Given:

Given that the model of the house.

The house is made up of two composite figures triangle and rectangle.

The two sides of the triangle are 6x - 4 units each.

The length of the rectangle is 14x + 13.

The width of the rectangle is 12x + 3.

We need to determine the perimeter of the house.

Perimeter:

The perimeter of the house can be determined by adding all the sides of the house.

Thus, we have;

[tex]Perimeter=2(6x -4 )+2(12x+3)+(14x+13)[/tex]

Simplifying the terms, we get;

[tex]Perimeter=12x -8+24x+6+14x+13[/tex]

Adding the like terms, we have;

[tex]Perimeter=50x+11[/tex]

Thus, the perimeter of the house is 50x + 11 units.

Hence, Option d is the correct answer.

Answer:

The y intercept is 80 and the line of the best fit is -3/5

Step-by-step explanation:

The y intercept of the line of best fit is 80 miles with a slope of -0.6 mile per minute

An equation is an expression that shows the relationship between two or more numbers and variables.

From the graph, the y intercept is 80 miles. The line passes through (0, 80) and (100, 20), hence:

slope = (20 - 80) / (100 - 0) = -0.6 mile per minute

The y intercept of the line of best fit is 80 miles with a slope of -0.6 mile per minute

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Answer:

8 feet

Step-by-step explanation:

Answer:

36m

Step-by-step explanation:

The perimeter is given by

P = 2(l+w)

The length is 12 and the width is 6

P = 2(12+6)

P = 2(18)

P = 36

Answer:

36 m

Step-by-step explanation:

12+12+6+6 or 24+12= 36

Given:

The height of the given trapezoid = 6 in

The area of the trapezoid = 72 in²

Also given, one base of the trapezoid is 6 inches longer than the other base

To find the lengths of the bases.

Formula

The area of the trapezoid is

[tex]A=\frac{1}{2} (b_{1} +b_{2} )h[/tex]

where, h be the height of the trapezoid

[tex]b_{1}[/tex] be the shorter base

[tex]b_{2}[/tex] be the longer base

As per the given problem,

[tex]b_{2}=b_{1} +6[/tex]

Now,

Putting, A=72, [tex]b_{2}=b_{1}+6[/tex] and h=6 we get,

[tex]\frac{1}{2} (b_{1} +b_{1}+6)(6) = 72[/tex]

or, [tex]b_{1}+b_{1}+6 = \frac{(72)(2)}{6}[/tex]

or, [tex]2b_{1}+6 = 24[/tex]

or, [tex]2b_{1}=24-6[/tex]

or, [tex]b_{1}= \frac{18}{2}[/tex]

or, [tex]b_{1}=9[/tex]

So,

The shorter base is 9 in and the other base is = (6+9) = 15 in

Hence,

One base is 9 inches for one of the bases and 15 inches for the other base.

Answer:

-3

Step-by-step explanation:

Negative reciprical