Three friends—Elaine, Kelly, and Shannon—all start for their college volleyball team. Each plays a different position: setter, middle blocker, and outside hitter. Of the three, one is a freshman*, one a sophomore*, and the other a junior*.From the clues below, determine each woman's position and year in school.1. Elaine is not the setter.2. Kelly has been in school longer than the middle blocker.3. The middle blocker has been in school longer than the outside hitter.4. Either Kelly is the setter or Elaine is the middle blocker.

Answer:

Please make your question more clear

Step-by-step explanation:

We can not read your question.

please explain your question better

Answer:

15

Step-by-step explanation:

Answer:

The midpoint is (-4,1)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates and divide by 2

(-6+-2)/2 = -8/2 = -4

To find the y coordinate of the midpoint, add the y coordinates and divide by 2

(-4+6)/2 = 2/2 =1

The midpoint is (-4,1)

Answer:

The midpoint of the segment is at (-4,1)

Step-by-step explanation:

Since the midpoint of an line segment is the middle of the two x and y coordinates:

x-coords:

-6+-2 = -8

-8/2 = -4

y-coords

-4+6 = 2

2/2 = 1

The midpoint of the segment is at (-4,1)

Answer:

D.

C.

A,B

Step-by-step explanation:

Given:

Diameter of a cone-shaped kitchen funnel = 6 inches

Height of a cone-shaped kitchen funnel = 7 inches

Radius of a cylindrical funnel = 4 inches

Height of a cylindrical funnel = 13 inches

To find: Number of cylindrical funnels required to fill a cone-shaped kitchen funnel

Solution:

Radius of a cone-shaped kitchen funnel (R) = 6/2 = 3 inches

Height of a cone-shaped kitchen funnel (H) = 7 inches

Volume of a cone-shaped kitchen funnel = [tex]\frac{1}{3}\pi R^2H=\frac{1}{3}\pi(3)^2(7)=21\pi[/tex] cubic inches

Radius of a cylindrical funnel (r) = 4 inches

Height of a cylindrical funnel (h) = 13 inches

Volume of a cylindrical kitchen funnel = [tex]\pi r^2h=\pi(4)^2(13)=208\pi[/tex] cubic inches

Number of cylindrical funnels required to fill a cone-shaped kitchen funnel =  9.9≈ 10

Option D. is correct

Given:

Circumference of an orange = 37.68 centimeters

To find: volume of the orange

Solution:

Let r be the radius of the orange

Circumference of an orange = 37.68 centimeters

[tex]2\pi r=37.68\\r=\frac{37.68}{2\pi}[/tex]

Volume of the sphere = [tex]\frac{4}{3}\pi r^3[/tex]

[tex]=\frac{4}{3}\pi \left ( \frac{37.68}{2\pi} \right )^3[/tex]

[tex]=\frac{4}{3}\frac{\left ( 37.68 \right )^3}{8(3.14)^2}=904.32[/tex] cubic metres

Volume of sphere can be computed using only the radius or using only the diameter.

Option A and B are correct.

For volume of cone, both radius and height are required

Answer:

7.91

Step-by-step explanaton:

  Derek wants to determine the height of the top of the backboard on the basketball goal at the playground. He places a standard 12-inch ruler next to the goal post and measures the shadow of the ruler and the backboard. If the ruler has a shadow of 11 inches and the backboard has a shadow of 7.25 feet, then about how high is the top of the backboard?

A.  

6.14 feet

 B.  

8.92 feet

 C.  

7.91 feet

D.  

9.17 feet

i was looking for the answer and jess couldn't find it and so i answered it and it told me the answer was 7.91.

it also told me that the reason for this was:

Since the backboard and the ruler are both vertical and the sun is at the same position in the sky, the triangle made by the backboard and its shadow is similar to the triangle made by the ruler and its shadow.

The ratio of the corresponding sides of the triangles are equal and the height of the backboard can be determined by solving the following proportion.

Therefore, the top of the backboard is 7.91 feet high.

Answer:

Is all of them !!

Step-by-step explanation:

Because they all have asymptote

Answer:

all of them

Step-by-step explanation:

all have asymptote

Answer:

$97.11

Step-by-step explanation:

17% of $83 = $14.11

$83 + $14.11 = $97.11

Answer:

She donated 82,300

Step-by-step explanation:

She donated a tenth of 823,000. A tenth is 10% or .10. A tenth of 832,000 is just 832,000 * .10. Or if it's a tenth, you can take off a zero

Answer:

$82,300

Step-by-step explanation:

823,000 times 0.10

= 82,300

The amount owed after 9 years on a $2000 loan compounded semiannually at an 18% interest rate is approximately $8599.63.

When we need to find the amount owed after 9 years on a $2000 loan compounded semiannually at an 18% interest rate, we use the formula for compound interest:

A = P (1 + r/n)^(nt)

Where:

A is the amount of money accumulated after n years, including interest.

P is the principal amount ($2000).

r is the annual interest rate (18% or 0.18).

n is the number of times the interest is compounded per year (2 for semiannual).

t is the time the money is invested for, in years (9 years).

Substituting the values into the formula, we have:

A = 2000 (1 + 0.18/2)^(2*9)

A = 2000 (1 + 0.09)^(18)

A = 2000 (1.09)^18

Calculating this expression gives us the amount owed after 9 years. Do not round any intermediate computations, and round your answer to the nearest cent.

The calculation is as follows:

A = $2000 * (1.09)^18

A ≈ $2000 * 4.299816955

A ≈ $8599.63

Therefore, the amount owed after 9 years would be approximately $8599.63.

Answer:

No

Step-by-step explanation:

Answer:

Letter C: 26

Step-by-step explanation:

Just took the test e2020

Answer:

c

Step-by-step explanation:

The width of the aquarium is 0.1625 ft.

Step-by-step explanation:

Given,

The length (l) of the aquarium = 2 ft

Height (h) = 1.5 ft

The capacity of water it holds = 3.75 gallons

That means the volume (V) = 3.75 gallon

To find the width(b) of the aquarium.

Formula

So,

V = 3.75×0.13 cube ft

According to the problem,

2×1.5×b = 3.75×0.13

or, b = (3.75×0.13)÷(2×1.5)

or, b = 0.1625 ft

Hence,

The width of the aquarium is 0.1625 ft.

Answer:

14

Step-by-step explanation:

it's going up by 2 everytime so you just take away 2

Answer:

x =-12

Step-by-step explanation:

5x + 6 = 2(2x – 3)

Distribute

5x+6 = 4x -6

Subtract 4x from each side

5x-4x +6 = 4x-4x-6

x +6 = -6

Subtract 6 from each side

x+6-6 = -6-6

x = -12

Answer:

x = -12

Step-by-step explanation:

5x + 6 = 2(2x – 3)

5x + 6 = 4x - 6

x = -12

Answer:

Option C is the correct answer

Step-by-step explanation:

Let μ1 be the average flying speed of monarch butterflies and let μ2 be the average flying speed of swallowtail butterflies.

Also, let n1 be the sample size of monarch butterflies and let n2 be the sample size of swallowtail butterflies.

Thus, defining the hypothesis, we have;

Null hypothesis;H0: μ1 = μ2

Alternative hypothesis; H1: μ1 > μ2

In this case, the p-value = P_H0[t_(n1 + n2 - 2) ≥ t] where t is the test statistic based on tbe differences of sample mean,that follows t distribution with degrees of freedom (n1 + n2 - 2)

With respect to the question, the probability of the monarchs and swallowtails flying at the same speed is 0.072.

Thus,

P_H0[t_(n1 + n2 - 2) ≥ t] = 0.072

We can therefore conclude that in this case, the p-value is the probability of observing a difference equal to or greater than the sample difference under the null hypothesis which states that μ1 = μ2, which is 0.072

Thus, option C is the correct answer

Answer:

The correct option is;

b. The probability that monarchs and swallowtails fly at the same speed is 0.072

Step-by-step explanation:

The p- value indicates the probability of which the hypothesis tested, the null hypothesis is true and it is compared against a given confidence level. Whereby the p-value is more than the given confidence level then it indicates that the null hypothesis assumption is correct.

Therefore, whereby the null hypothesis tests proposes the equality of the two means, then at  a 5% confidence level or α = 0.05, whereby p-value = 0.072 > α = 0.05 we accept the null hypothesis and state that the probability that monarchs and swallowtails fly at the same speed is 0.072.

Answer: 2e +24 which equals 130.477527766

:)

Answer:

1e+24

Step-by-step explanation:

The theoretical probability of the coin landing heads up is 30%.

The theoretical probability of the coin landing heads up is 30%.

The number of times the coin lands heads up out of the total number of coin flips is called the experimental probability. In this case, the experimental probability is 21/70 = 0.3, or 30%.

The theoretical probability of getting heads on a fair coin is always 50%, but in this specific experiment, the experimental probability varied due to chance. As the number of coin flips increases, the experimental probability should approach the theoretical probability of 50%.

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Answer:

First, 32 rounded to the nearest ten is:

30

Step-by-step explanation:

When rounding to the nearest ten, like we did with 32 above, we use the following rules:

A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

Answer: I’m not sure

Step-by-step explanation: Good luck some one will answer soon i hope

Answer: The answer is 9.

Step-by-step explanation:

I didn't get a fraction. I plugged in the information. I got 10pi/400pi =x/360. After doing the calculations I then got 9 and it was correct when I plugged it into my assignment. Hope this helped.

Answer:

the correct answer is B.

Step-by-step explanation:

The system of equations has one solution. Option B is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
x² + y² = 1

Now,
Put x = 1
1 + y² = 1
y² = 0
y = 0

Since for the given expression more than one solution can be possible but for the given condition a x = 1 only one solution is possible.

Thus, the system of equations has one solution. Option B is correct.

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Answer:

  B) Circle F is shown. A line segment goes from one point to another point on the circle and goes through point F. It has a length of 20.

Step-by-step explanation:

A segment that goes through the center of the circle and that has its ends on the circle is a diameter. The radius is half the length of the diameter.

A chord through the center of circle F with a length of 20 units means circle F has a radius of 10 units.

Final answer:

Option B is the correct answer because it describes a line segment that passes through the center and is 20 units long, indicating it's a diameter; hence the radius is half of that, which is 10 units.

Explanation:

To determine which circle has a radius of 10 units, we need to recall that the radius is a straight line from the center of the circle to a point on its boundary. Two radii lined up end-to-end across a circle form a diameter. Therefore, a diameter is twice the length of the radius.

Option A describes a line segment of length 10, but we cannot confirm if it's a radius or a diameter without additional information.

Option B describes a line segment that goes through the center point F and is 20 units long, indicating it's a diameter. Since the diameter is twice the radius, a circle with a diameter of 20 units has a radius of 10 units.

Option C, like option A, cannot be confirmed without additional information about the line segment's relation to the center of the circle.

Option D also describes a line segment of 20 units, but again, without confirmation that it's a diameter, we cannot be sure.

Therefore, the correct answer is Option B, where the circle's diameter is explicitly mentioned to be 20 units, meaning the radius is 10 units.

Answer:

(4x-9) times (4x+9)

Step-by-step explanation:

Answer:

[tex]1 \frac{2}{5} hours[/tex]

Step-by-step explanation:

LeRoy practiced for 1 2/5 hours today.

To find how long LeRoy practiced today, we need to determine half of his usual practice time of 2 4/5 hours. To do this, we divide 2 4/5 by 2. If we simplify the fraction, we get 14/5. Dividing 14/5 by 2, we get 7/5 or 1 2/5 hours. Therefore, LeRoy practiced for 1 2/5 hours today.

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You would estimate first look at the 100's place 3+2=5 so we already have 500 so we know that the sumis greater than 500 because is you at 61+83 with 500 its a larger number than just 500

Final answer:

To see if 361 + 283 is greater than 500, round each number to the nearest hundred and add them. The rounded sum of 400 + 300 = 700 is clearly greater than 500, thus the actual sum must also be greater than 500.

Explanation:

To determine if the sum of 361 + 283 is greater than 500 without actually adding the numbers together, you can use estimation. You can round each number to its nearest hundred to make the math easier. 361 can be rounded to 400 and 283 can be rounded to 300. When you add these rounded numbers together, 400 + 300 = 700, which is clearly greater than 500. Since rounding each number up only increases the sum, the actual sum of 361 + 283 must also be greater than 500.

This concept is based on the understanding that the rules of mathematics are universally valid, as addition is commutative (A+B=B+A).

Answer:

Step-by-step explanation:

You want the volume of a medicine capsule and the mass of active ingredient if the capsule is a cylinder 4 mm in diameter and 5.6 mm long, capped on either end by a hemisphere, and the active ingredient has a density of 0.7 mg/mm³.

The volume of a cylinder is given by ...

  V = πr²h

and the volume of a sphere is given by ...

  V = 4/3πr³

The two hemispheres have a total volume equal to that of a sphere, and the radii of the cylinder and sphere are the same. This means the volume of the capsule can be found as ...

  V = πr²h +4/3πr³

  V = πr²(h +4/3r)

The radius is half the diameter, so we have ...

  V = π(2 mm)²(5.6 mm +4/3(2 mm)) ≈ 103.882 mm³

The volume of the capsule is about 103.9 mm³.

Multiplying the volume by the density gives the mass of active ingredient:

  m = ρV

  m = (0.7 mg/mm³)·(103.882 mm³) ≈ 72.72 mg

There are about 72.7 mg of active medication in one capsule.

Answer:

$112.50¢

Step-by-step explanation:

please kindly check the attached file for explanation

$112500 would be saved in electricity in the 10,000−hour lifetime of the Fluorescent bulb.

Given that compact fluorescent bulbs use about 25% of the energy of incandescent bulbs.

Hence, For a 100W bulb, the corresponding energy is:

Fluorescent bulb = 25% of 100W = 0.25 * 100 = 25W

Since the charges is $0.15/kW-hour, hence, for 10000 hour lifetime:

Total charges for  Incandescent = 100W * 10000 hour * $0.15/kW-hour = $37500

Total charges for Fluorescent = 25W * 10000 hour * $0.15/kW-hour = $150000

Therefore the money saved in electricity = $150000 - $37500 = $112500

Hence $112500 would be saved in electricity in the 10,000−hour lifetime of the Fluorescent bulb.

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Answer:

A) y = 3x - 2

Step-by-step explanation:

slope-intercept form is represented by y=mx+b

your answer choices look like this

A) y = 3x -2

B) x = 1/2y + 8

C) 2x + 5y = 12

D) 3y = 8x - 5

right away, you can eliminate B & C, since they just don't represent the formula correctly.

D is your trick answer choice. at first glance, it looks right, however, the 'y' is not isolated, which is a key interpretation of the formula.

therefore, from process of elimination, A is right because is correctly represents the formula of slope-intercept form.

i hope this helps!

stay safe!

:)

The equation written in slope-intercept form is y = 3x - 2. The correct option is A.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.

The equation of a line is given as:_

y = mx + c

The slope-intercept form is represented by y=mx+b. Right away, you can eliminate B & C, since they just don't represent the formula correctly.

D is your trick answer choice. at first glance, it looks right, however, the 'y' is not isolated, which is a key interpretation of the formula.

Therefore, from the process of elimination, A is right because is correctly represents the formula of slope-intercept form.

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Answer:

523.3

Step-by-step explanation:

[tex]Volume = \frac{4}{3} * 3.14 * 5^{3} \\Volume = 523.3[/tex]

Please give me brainliest

Answer:

About 374 people.

Step-by-step explanation:

[tex] \frac{11}{50} \times 1700 = 374[/tex]

Answer:

The answer to your question is Surface area = 432  ft²

Step-by-step explanation:

Data

diameter = 16 ft

height = 8 ft

slant height = 10 ft

pi = 3

Process

1.- Write the formula to calculate the surface area

Surface area = pi x radius x slant height + pi x radius²

2.- Substitution

Surface area = (3 x 16/2 x 10) + (3 x (16/2)²)

-Simplification

Surface area = 240 + 192

-Result

Surface area = 432  ft²

Answer:

3612

Step-by-step explanation:

boom