The volume of a cone is 109.95 cubic inches and the height is 4.2 inches. What is the radius of the cone?

Answers

Answer 1

The calculated radius of the cone is 5 inches

What is the radius of the cone?

From the question, we have the following parameters that can be used in our computation:

Volume = 109.95 cubic inches

Height = 4.2 inches.

The volume is calculated as

V = 1/3 * 3.14 * r^2h

So, we have

1/3 * 3.14 * r^2 * 4.2 = 109.95

So, we have

r^2 = 3 * 109.95/(4.2 * 3.14)

So, we have

r^2 = 25.01

Take the square roots

r = 5

Hence, the radius is 5 inches

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Related Questions

IZ:
eighted Average
Calculator
There are 15 people in a book club. Ten people read for an average of 65 minutes each day. The remaining people read for an average
of 35 minutes each day.
What was the average reading time for the entire book club each day?
Enter your answer in the box.
min
1 2 3 4
5 Next >
Readin

Answers

The average reading time for the entire book club each day is 55 minutes

What was the average reading time for the entire book club each day?

From the question, we have the following parameters that can be used in our computation:

10 with a weight of 65 minutes5 with a weight of 35 minutes

The weighted average of the numbers is calculated as

Average = Product of numbers and weights/Sum of weights

So, we have

Average = (10 * 65 + 5 * 35)/15

Evaluate

Average = 55

Hence, the weighted average is 55

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Find the value of each variable. Round your answers to the nearest tenth.

Answers

Answer:

k = 8.4; j = 13.1

Step-by-step explanation:

We can find the measures of j and k using trigonometric ratios, namely the tangent ratio and the cosine ratio

The tangent ratio is tan(reference angle) = opposite / adjacent, while the cosine ratio is cos(reference angle) = adjacent / hypotenuse

If we allow 40 to be our reference angle...

the measuring j units is the hypotenuse, the side measuring k is the opposite side, and the side measuring 10 is the adjacent side.

Because we're not given the measure of either j or k, we have to use 10 each time

Steps to find j:

To find j, we can use the cosine ratio:

[tex]cos(40)=\frac{10}{j}\\ \\j*cos(40)=10\\\\j=\frac{10}{cos(40)}\\ \\j=13.05407289\\\\j=13.1[/tex]

Steps to find k:

To find k, we can use the tangent ratio:

[tex]tan(40)=\frac{k}{10}\\ \\10*tan(40)=k\\\\8.390996312=k\\\\8.4=k[/tex]

The polar coordinate (3, 45°) lies in the same location on the polar plane as (-3, Ø), where -360° < Ø < 0.



What is Ø?

Answers

The polar coordinate (3, 45°) lies in the same location on the polar plane as (-3, Ø), where -360° < Ø < 0. Then, the value of Ø is 45°.

The polar coordinates (r, θ) represent a point on the polar plane, where r is the radial distance from the origin (in this case, 3 units) and θ is the angle measured counterclockwise from the positive x-axis (in this case, 45°).

According to the given statement, the polar coordinate (-3, Ø) lies in the same location on the polar plane as (3, 45°). This means that these two points represent the same location, and their radial distances and angles must be equivalent.

Comparing the radial distances;

|r| = 3 (for (3, 45°))

|-r| = 3 (for (-3, Ø))

Since |-r| = |r|, we can conclude that r = -r, which implies r = 0, as r cannot be negative in polar coordinates.

Comparing the angles;

θ = 45° (for (3, 45°))

θ = Ø (for (-3, Ø))

Since the angles are equivalent, we can equate them:

45° = Ø

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If m varies directly with n and m=209 when n=22, find n when m=361

Answers

Answer:174

Step-by-step explanation:

209-22=187

361-22=174

math hw for tonight
help solve this problem! Thank you!
ap cal bc

Answers

The slope of the polar curve at θ = π/4 is 24. Therefore, option D is correct.

To find the slope of the polar curve r = 6cos(2θ) - 5 at θ = π/4, we need to find the derivative of r with respect to θ, and then substitute θ = π/4 into the resulting expression.

Using the chain rule of differentiation, we have:

dr/dθ = dr/d(cos(2θ)) * d(cos(2θ))/dθ

To find the first derivative, we can use the power rule of differentiation:

dr/d(cos(2θ)) = -12sin(2θ)

To find the second derivative, we can use the chain rule again:

d(cos(2θ))/dθ = -2sin(2θ)

Substituting these into the expression for dr/dθ, we get:

dr/dθ = -12sin(2θ) * (-2sin(2θ)) = 24sin^2(2θ)

Now, substituting θ = π/4, we get:

dr/dθ|θ=π/4 = 24sin^2(π/2) = 24

The slope of the polar curve at θ = π/4 is therefore 24.

None of the given options match this result.

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Find the prime fractorization of the number 130

Answers

The calculated value of the prime fractorization of the number 130 is 2 * 3 * 5

Finding the prime fractorization of the number 130

From the question, we have the following parameters that can be used in our computation:

Number = 130

When the above number is expanded, we have

Number = 2 * 5 * 13

The above product of numbers cannot be further simplified

This means that 2 * 5 * 13 is the prime fractorization of the number 130

Hence, the prime fractorization of the number 130 is 2 * 3 * 5

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Help please!!!!!!!!!!!!!!!!!!!!

Answers

The relationships between the figures is a dilation of 3.5 from the small triangle to the big triangle

Analyzing the relationships between the figures

From the question, we have the following parameters that can be used in our computation:

The two triangles

From the figure, we can see that

The shapes have the same orientationOne of the triangles is bigger than the otherThe side lengths of the triangles are in proportion

These mean that the triangles are related by dilation

The constant of dilation is then calculated as

k = (7, 7)/(2, 2)

Evaluate

k = 3.5

Hence, the scale factor is 3.5

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Heart attacks cause many deaths. Researchers in the Physicians Health Study (1989) gave a large sample of healthy male physicians either a low dose of aspirin or a placebo.

Answers

In this example of heart attack, it would be appropriate to calculate Conditional row percentages. Therefore, the correct option is option A.

When the blood supply for the heart is significantly impeded or blocked, a heart attack happens. The accumulation of fat, cholesterol, and other chemicals in the heart's (coronary) arteries is typically what causes the obstruction. Plaques are the name given to the fatty, cholesterol-containing deposits.

Atherosclerosis is the name for the phenomenon of plaque accumulation. A plaque may occasionally burst and generate a clot that restricts blood flow. A portion for the heart muscle can be harmed or destroyed by a shortage of blood flow. In this example, it would be appropriate to calculate Conditional row percentages.

Therefore, the correct option is option A.

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Your question is incomplete but most probably your full question was,

Add and simplify 12ft. 8in. + 16ft. 11in.

Answers

Answer:

Step-by-step explanation:

29 ft

7  in

Use the numbers 3 and 4 to make a fraction that is greater than 1 and a fraction less than 1. Explain how you made your fractions without a number line so it says greater not lesser that is my question

Answers

The fraction 4/3 we get by using the  numbers 3 and 4 to make a fraction that is greater than 1 and a fraction less than 1

To make a fraction greater than 1 using the numbers 3 and 4, we can divide 3 by 4 and add 1.

3/4 + 1 = 7/4

The resulting fraction, 7/4, is greater than 1 because the numerator (7) is greater than the denominator (4).

We can also see this by writing 7/4 as a mixed number:

7/4 =[tex]1\frac{3}{4}[/tex]

The whole number part of the mixed number is 1, which means the fraction is greater than 1.

To make a fraction less than 1 using the same numbers, we can divide 4 by 3. This gives us:

4/3

The resulting fraction, 4/3, is less than 1 because the numerator (4) is smaller than the denominator (3).

We can also see this by writing 4/3 as a mixed number:

4/3 =[tex]1\frac{1}{3}[/tex]

The whole number part of the mixed number is 1, which means the fraction is less than 1.

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The data set is: 6, 2, 6, 3, 5, 6, 7, 9, 1 For this question, find the IQR

Answers

The IQR of the data set is 4.

First, let's arrange the data set in order from smallest to largest:

1, 2, 3, 5, 6, 6, 6, 7, 9

Next, let's find the median (Q2) of the data set. Since there are an odd number of values in the data set, the median is the middle value:

Q2 = 6

Now, let's find the median (Q1) of the lower half of the data set. This includes the values from the minimum (1) up to (but not including) the median (6). There are four values in this lower half, so the median is the average of the two middle values:

Q1 = (2 + 3) / 2 = 2.5

Finally, let's find the median (Q3) of the upper half of the data set. This includes the values from the median (6) up to (and including) the maximum (9). There are also four values in this upper half, so the median is the average of the two middle values:

Q3 = (7 + 6) / 2 = 6.5

Now that we have Q1, Q2, and Q3, we can calculate the IQR as:

IQR = Q3 - Q1

IQR = 6.5 - 2.5

IQR = 4

Therefore, the IQR of the given data set is 5.5.

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math hw for tonight
help solve this problem! Thank you!
ap cal bc

Answers

The antiderivative of the function is t³/3 i + ln |cos(t)| j.

option C.

What is the antiderivative of the function?

The antiderivative of the function is calculated as follows;

r = t²i + tan(t)j

tan(t) = sin(t)/cos(t)

Substituting sin(t)/cos(t) for tan(t) in the given function;

r = t²i + (sin(t)/cos(t))j

The antiderivative of sin(t)/cos(t) with respect to t is calculated as;

u = cos(t)

du = -sin(t)dt

∫ (sin(t)/cos(t)) dt = -∫ du/u

= -ln |u| + C

= -ln |cos(t)| + C

The antiderivative of t² is calculated as;

∫ t² dt = t³/3 + C

Add the two equations, to obtain the antiderivative;

∫ r dt = t³/3 i + ln |cos(t)| j

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y=2x-6
x+y=3
graph it and get the solution

Answers

The solution is (3, 0).

To graph it, plot the points (0, -6) and (3, 0). Draw a line through the two points.

To get the solution, you can substitute y = 3 - x into the first equation, giving you:

x + (2x - 6) = 3

Solving for x, you get x = 3. Substituting x = 3 into either equation gives you y = 0. Therefore, the solution is (3, 0).

Help!!

how many combinations do I have it I select 4 things from a total of 9 without replacement? (9C4)​

Answers

4 things can be selected from a total of 9 without replacement in 126 times without replacement.

What is Combination?

Combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of selection does not matter.

How to determine this

To calculate the combination without replacement

nCr = n!/r!(n-r)!

9C4= 9!/4!(9-4)!

= 9!/4!(5!)

= 9*8*7*6*5*4*3*2*1/4*3*2*1*5*4*3*2*1

= 362880/24*120

= 362880/2880

= 126

Therefore, it can be combined in 126 times

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3. Olivia's mother surprised her with pasta packed in a rectangular prism shaped lunch box. How much quantity of pasta is served to Olivia given that the dimensions of the rectangular prism are as follows:

length= 5 in , width= 4 in, height= 3 in

Answers

The quantity of pasta is served to Olivia is 60 in³.

Olivia's mother packed her lunch in a lunch box which is in the shape of rectangular prism, with dimension = length= 5 in, width= 4 in, height= 3 in,

We need to find the quantity of the lunched packed in the box,

So, we will find the volume of the box = length × width × height

= 5 × 4 × 3

= 60 in³

Hence the quantity of pasta is served to Olivia is 60 in³.

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Help I am so confused. Thank you pic at bottom

Answers

1A) This sampling technique employed is known as a systematic random sample.

1B) The demographic examined in the study is the total production run of 15,600 LED monitors. The representativeness of the sample within such population is relied upon if every 120th monitor selected is an unbiased, irregular choice from the larger collective.

How to explain the sampling

For question 2, the sampling method utilized here is called a convenience sample. Kenya only enquires the middle school pupils in her 7th grade science course, which cannot be characterized as a representative or randomly chosen group of all middle school learners.

The sample may not accurately reflect the population because it merely involves students in her lesson, and not necessarily those enrolled at her school or district.

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The amount of pollution entering the atmosphere varies directly as the number of people living in an area. If 35,000 people create 21,350 tons of pollutants, how many tons enter the atmosphere in a city with a population of 500,000?

Please Help

Answers

The city with a population of 500,000 would produce 305,000 tons of pollutants.

We have,

Let's call the unknown amount of pollutants in the second city "x".

According to the problem,

The amount of pollution is directly proportional to the number of people. This means that we can set up a proportion:

Pollution/number of people

= pollution/number of people

Using the values we know:

= 21350/35000

= x/500000

Simplifying:

0.61 = x/500000

To solve for x, we can cross-multiply:

0.61 x 500000 = x

x = 305000

Therefore,

The city with a population of 500,000 would produce 305,000 tons of pollutants.

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Signed numbers are also called directed numbers true or false

Answers

The given statement, "Signed numbers are also called directed numbers" is true.

Signed numbers are numbers that can be positive, negative, or zero, and they are sometimes referred to as directed numbers because they have a direction or orientation on the number line. Positive numbers are usually associated with movements to the right on the number line, while negative numbers are associated with movements to the left.

Therefore, the given statement, "Signed numbers are also called directed numbers" is true.

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Solve for θ if −10sinθ−8=5√3−8 and 0≤θ<2π.

Answers

The value of variable θ would be,

⇒  θ = 5π/3 and θ = 4π/3

We have to given that;

Expression is,

⇒ - 10sin θ - 8 = 5√3 - 8

Now, We can simplify as;

⇒ - 10sin θ - 8 = 5√3 - 8

⇒ - 10sin θ = 5√3

⇒ sin θ = - 5√3/10

⇒ sin θ = - √3/2

We know that sinθ = -√3/2 when θ = 4π/3 and θ = 5π/3 (among other angles).

However, since 0 ≤ θ < 2π, only the angles in the second and third quadrants are valid solutions for sinθ = -√3/2.

Therefore, the solutions are θ = 5π/3 and θ = 4π/3, option D is correct.

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Day 3
June is setting up an experiment involving lima beans. She places a lima
bean inside a damp paper towel, then places it in a baggie. June takes
another lima bean and places it in a dry paper towel and puts it in a
baggie. She puts both baggies on a windowsill next to each other. She
checks each day to observe the changes.
What testable question is June most likely trying to answer?
A. Can lima beans grow in a paper towel?
B. Does the amount of light affect how fast a lima bean grows?
What does a lima bean look like once it is sprouted?
Which sprouts faster, a moist lima bean or a dry lima bean?
On

Answers

The testable question can be Which sprouts faster, a moist lima bean or a dry lima bean?

We have,

June laces a lima bean inside a damp paper towel, then places it in a baggie.

June takes another lima bean and places it in a dry paper towel and puts it in a baggie.

The Experiment is related to moisture because one damp and one dry towel is used.

So, the testable question can be

Which sprouts faster, a moist lima bean or a dry lima bean?

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Given this unit circle what is the value of x? HELP PLEASE

Answers

Answer:

x = - [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

consider the right triangle formed by the x- axis, the y- coordinate of the given point and the radius of the circle 1 , to the point from the centre.

using Pythagoras' identity

x² + ( [tex]\frac{4}{5}[/tex] )² = 1²

x² + [tex]\frac{16}{25}[/tex] = 1 ( subtract [tex]\frac{16}{25}[/tex] from both sides )

x² = 1 - [tex]\frac{16}{25}[/tex] = [tex]\frac{9}{25}[/tex] ( take square root of both sides )

x² = ± [tex]\sqrt{\frac{9}{25} }[/tex] = ± [tex]\frac{\sqrt{9} }{\sqrt{25} }[/tex] = ± [tex]\frac{3}{5}[/tex]

since the given point is in the second quadrant , then

x = - [tex]\frac{3}{5}[/tex]

Solve for x 3x + 1 ≤2-x< 18+ 7x

Answers

To solve for x, we first need to isolate x on one side of the inequality.

3x + 1 ≤ 2 - x < 18 + 7x

Add x to both sides of the inequality:

4x + 1 ≤ 2 < 18 + 6x

Subtract 1 from all sides:

4x ≤ 1 < 18 + 6x

Subtract 6x from all sides:

-2x ≤ 1 < 18

Divide all sides by -2. Since we are dividing by a negative number, we need to reverse the direction of the inequality:

-2x ≥ -9 and -2x < -1

Simplify:

x ≤ 4.5 and x > 0.5

Therefore, the solution is 0.5 < x ≤ 4.5.

Answer:

X can be any number greater than -2 and less than or equal to 1/4.

Step-by-step explanation:

To solve for x in the inequality 3x + 1 ≤ 2 - x < 18 + 7x, we will first isolate the variable x on one side of the inequality.

3x + 1 ≤ 2 - x

Adding x to both sides, we get:

4x + 1 ≤ 2

Subtracting 1 from both sides, we get:

4x ≤ 1

Dividing both sides by 4, we get:

x ≤ 1/4

Next, we solve the second inequality:

2 - x < 18 + 7x

Adding x to both sides, we get:

2 < 18 + 8x

Subtracting 18 from both sides, we get:

-16 < 8x

Dividing both sides by 8, we get:

-2 < x

Therefore, the solution to the inequality 3x + 1 ≤ 2 - x < 18 + 7x is:

-2 < x ≤ 1/4

This means that x can be any number greater than -2 and less than or equal to 1/4.

Question 2 (1 point) A new car cost $30,000. Each year, it depreciates by an average of 14%. What rule is the explicit rule for the situation?

A. an = 30,000 . 0.14n-1

B. an = 30,000 . 0.86n-1

C. an = 30,000 . 1.14n-1​

Answers

The explicit rule for the situation whereby a new car that costs $30,000 depreciates at an average rate of 14% per year, giving the depreciated value of the car after n years, is given by B. an = 30,000 × 0.86^n-1.

What is the depreciated value of an asset?

The depreciated value of an asset in any year can be determined using the exponential decay function or equation.

An exponential decay equation shows the value of an asset given a constant rate of periodic decrease.

The cost of the new car = $30,000

The average depreciation rate per year = 14%

Depreciation factor = 86% or 0.86 (1 - 14%)

Let the number of years after the purchase = n

Let the depreciated value after n years = an

Decay Equation:

an = 30,000 × 0.86^n-1.

Thus, the correct explicit rule is Option B.

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evaluate the function at the indicated value, using the technique indicated.
9. Find w(-3) using synthetic substitution:
w(x)=11x³ -6x² +2

Answers

Using synthetic division, the value at w(-3) of the expression w(x)=11x³ -6x² +2 is -349

What is synthetic substitution?

Synthetic substitution is a mathematical method that is used for evaluating the algebra polynomial in the simpler process.

To determine the value of the polynomial at w = -3, we need to carry out the synthetic division.

Then, the value of the remainder is taken as the value of the expression at the particular value

We have the expression as;

w(x)=11x³ -6x² +2/x-3

Let's carry out the synthetic division

Then, this is represented as;

-3)  11     -6      0      2

             -33    -117   -351

     11     -39    -117   -349

The value is -349

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PLEASE HELP (WILL GIVE BRAINLIEST)

Answers

Answer:

V = π(19.1^2)(11.8) = 13,523.8 cubic mm

V = 3.14(1.91^2)(11.8) = 13,516.9 cubic mm

PLEASE HELP ( WILL GIVE BRAINLIEST)

Answers

Answer:

26,225.3 = 3.14(12^2)h + (2/3)(3.14)(12^3)

26,225.3 = 452.16h + 3,617.28

452.16h = 22608.02

h = 50 feet

26,225.3 = π(12^2)h + (2/3)π(12^3)

26,225.3 = 144πh + 1,152π

144πh = 26,225.3 - 1,152π

h = (26,225.3 - 1,152π)/(144π)

h = 49.97 feet = 50 feet

Determine which function is represented by the graph. Do not use a calculator. (a) f ( x ) = 4 cos ( x + π ) (b) f ( x ) = 4 cos 4 x (c) f ( x ) = 4 sin ( x − π ) (d) f ( x ) = − 4 cos ( x + π ) (e) f ( x ) = 1 − sin x 2

Answers

Answer:

The graph of the function appears to be a cosine function that has been shifted to the left by π/2 units, and has an amplitude of 4.

Option (a) is a cosine function that has been shifted to the left by π units, but does not have the amplitude of 4.

Option (b) is a cosine function that has a period of π/2, which is much shorter than the period of the graph.

Option (c) is a sine function that has been shifted to the right by π units, but does not have the amplitude of 4.

Option (d) is a cosine function that has been shifted to the left by π units and has the correct amplitude of 4.

Option (e) is not a cosine or sine function, so it cannot be the correct answer.

Therefore, the function represented by the graph is:

f(x) = -4 cos(x + π)

which is Option (d).

Step-by-step explanation:

Find the height of the rectangular prism (You should have at least 3 steps shown in your work)

Answers

Answer:

[tex]12 \times 10 \times h = 3600[/tex]

[tex]120h = 3600[/tex]

[tex]h = 30[/tex]

The height is 30 millimeters.

If r = 6 and the measure of the central angle 2pi/3, what is the length of the intercepted arc

Answers

The length of the intercepted arc is 4π unit.

We have,

Angle = 2π/3 = 2(180)/ 3 = 120 degree

r = 6 unit

So, length of Arc

= θ /360 x 2πr

= 120/360 2 π(6)

= 1/3 (12)π

= 4π unit

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HELP ASAP
Find the diameter of the sphere.
Round to the nearest
hundredth.

Answers

Rounding to the nearest hundredth, the diameter of the sphere is approximately 4.26 cm.

What is the diameter of the sphere?

A sphere is simply a three-dimensional geometric object that is perfectly symmetrical in all directions.

The surface area of a sphere is expressed as:

S =  4πr²

Where S is the surface area and r is the radius of the sphere.

Given that surface area of 18.2π cm²

We can solve for the radius as follows:

S =  4πr²

r = √( S / 4π )

r = √( 18.2π / 4π )

r = 2.13 cm

The diameter of the sphere is twice the radius, so:

d = 2r

d = 2( 2.13cm )

d = 4.26 cm

Therefore, the diameter of the sphere is 4.26 cm.

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Describing herself as having become pretty cynical about everything, Daisy recalls that, when she woke up from the ether after giving birth to her first child, she was surprised to find that Tom was God knows where and she was overcome by an utterly abandoned feeling (17). Why wasnt Tom present for the birth of their child? Where might he have gone? What do these scenes reveal about Tom, Daisy, and the Buchanans marriage? What were the strengths of the North and the South at the start of the Civil War?Answer the above prompt in paragraph form and incorporate the 5 Ws into your writing (Who, What, Where, When and Why). Your paragraph should be around 5-7 sentences long.In order to incorporate the 5 Ws, be sure to answer these questions within your paragraph:What are the strengths?Who is involved? Individuals? Groups?Where are things taking place?When is this taking place?Why is this significant? the shows great reactivity when a person is sleep deprived which may explain why sleep deprivation is associated with . Order the words to form superlative sentences.- Universidad- mas- clases- de- la- las- escogimas- faciles Hair grows from epidermal stem cells within tubelike depressions called hair ____. - n kids randomly line up for recess. two kids are named paula and quentin. (a) what is the probability that either paula or quentin is last in line? University of Florida football programs are printed 1 week prior to each home game. Attendance averages90,000screaming and loyal Gators fans, of whom two-thirds usually buy the program, following a normal distribution, for$5each. Unsold programs are sent to a recycling center that pays only10cents per program. The standard deviation is5,000programs, and the cost to print each program is$2.Refer to the standard normal tableLOADING...for z-values.Part 2a) What is the cost of underestimating demand for each program?Cs=$3(round your response to two decimal places).Part 3b) What is the overage cost per program?Co=$1.9(round your response to two decimal places).*Part 4c) How many programs should be ordered per game?enter your response hereprograms should be ordered per game (round your response to the nearest whole number).*Part 5d) What is the stockout risk for this order size?enter your response here The Tipido Police Department may support ______ in its hiring practices, but if the department does not allow individuals like Ari to be part of decision-making processes, then its surely not ______. Multiple Choice inclusivity; ethnocentric diversity; profitable diversity; ethnocentric diversity; inclusive inclusivity; profitable In this activity, you will conduct online research and explain the impact of the Internet and the World Wide Web. The Internet and the World Wide Web have changed the world and our daily lives in many ways. Part A What are the fields that have been impacted the most by these technologies? Which statement is/ are true regarding the wear pattern of incisal edges of anterior teeth )assuming ideal occlusion)?A. Maxillary central incisors are likely to exhibit wear on the labial part of the incisal edgeB.Maxillary canines are likely to exhibit wear on the labial part of the incisal edgeC. Mandibular incisors are likely to exhibit wear on the facial part of the incisal edgeD. Mandibular canines are likely to exhibit wear on the lingual part of the incisal edge What does the ability of a solute to be filtered through a membrane depend on? Walter runs a business which is VAT registered. During the quarter ended 31 March 2022, the business made the following supplies (exclusive of VAT): E 92,500 Standard rated supplies Exempt supplies Total supplies 12,300 104,800 Input VAT suffered in the quarter of E25,400 included 16,900 VAT on purchases directly attributable to taxable supplies and 1,500 VAT on purchases attributable to exempt supplies => The input VAT deductible in the VAT 100 return for the quarter to 31 March 2022 is: Select one: a.24,465 b 25,400 cE16,900 d 23,130 _____ Describe how an entire suite of silicate minerals form from a single basaltic magma as it cools and cryatalizes what STD has the following symptoms:painless, indurated genital/oral/perianal lesions What is the most effective way to use hand gestures during a presentation? O Presenters should move their hands frequently to keep the audience's attention. O Presenters should point to the presentation and use their hands to explain ideas. O Presenters should clap their hands to inform the audience to pay close attention. O Presenters should wave to audience members and point around the room. Jan went grocery shopping and only bought items which had been marked down. The items she bought, along with their prices, can be seen below.ItemFinal PriceMarkdownChicken$8.4715%Milk$2.1620%Onions$0.8910%Potato chips$1.4512%Oranges$1.3625%Flour$4.3918%What would be the total of Jan's grocery bill if she purchased all of the items before they were marked down?a.$15.85b.$16.50c.$22.46 d.$24.66 The onset of signs and symptoms of exposure to CBRNE agents is based on what?