How much water will a cone hold that has a diameter of 6 inches and a height of 21 inches.
​
​Use 3.14 for
π
π and round your answer to the nearest whole number.

Answer:

x+6=40

Subtract 6

x=34

Answer:

n + 6 = 40

n = 34

Step-by-step explanation:

Sum of a number and 6. That means you got to add n and 6.

'is' means you need to put an equal sign.

n + 6 = 40

Now, lets find what n is.

Isolate the variable by subtracting 6 from both sides.

n = 34

Two factors that need to be controlled to keep this test fair are the temperature and the sample volume.

The control variables are those variables that should be kept constant in order to avoid interfering with the free flow of the experiment.

For the provided test, it is important that the temperature of the environment where the test sample is kept is controlled throughout the duration of the experiment so that some results are not affected by this. Also, the sample volume should be controlled for fair outcomes.

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Answer:

a

Step-by-step explanation:

I say you need to get mays age to even get lilacs age

Answer:

radius r = 3 cm

height h = 10 cm

volume V = 282.743339 cm^3

lateral surface area L = 188.495559 cm^2

top surface area T = 28.2743339 cm^2

base surface area B = 28.2743339 cm^2

total surface area A = 245.044227 cm^2

In Terms of Pi π

volume V = 90 π cm3

lateral surface area L = 60 π cm^2

top surface area T = 9 π cm^2

base surface area B = 9 π cm^2

total surface area A = 78 π cm^2

Step-by-step explanation:

Cylinder Formulas in terms of r and h:

Calculate volume of a cylinder:

V = πr2h

Calculate the lateral surface area of a cylinder (just the curved outside)**:

L = 2πrh

Calculate the top and bottom surface area of a cylinder (2 circles):

T = B = πr2

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

Agenda: r = radius

h = height

V = volume

L = lateral surface area

T = top surface area

B = base surface area

A = total surface area

π = pi = 3.1415926535898

√ = square root

The value of Surface Area of the cylinder is 245.04 cm².

Surface area is the amount of space covering the outside of a three-dimensional shape.

It is given that the cylinder has

radius r = 3 cm

height h = 10 cm

volume V of the cylinder = πr²h = 282.74 cm³

the lateral surface area of a cylinder

L = 2πrh

lateral surface area L = 188.495559 cm²

the top and bottom surface area of a cylinder (2 circles):

T = B = πr²

top surface area T = 28.2743339 cm²

base surface area B = 28.2743339 cm²

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

total surface area A = 245.044227 cm²

total surface area A = 78 π cm²

Therefore the value of Surface Area of the cylinder is 245.04 cm².

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Answer: The answer is D. the last option

Step-by-step explanation:

The correct answer is option d) The graph is the radical function, y = √x shifted right 1 unit and up 4 units.

The original function is y = √(x - 1) + 4, which represents a radical function.

This function involves taking the square root of the quantity (x - 1) and then adding 4 to the result.

By shifting the function right 1 unit, we are replacing x with (x - 1). This means that the graph will be shifted horizontally by 1 unit to the right compared to the standard square root function.

By shifting the function up 4 units, we are adding 4 to the output of the square root function.

This means that the graph will be shifted vertically by 4 units compared to the standard square root function.

Therefore, the graph of the function y = √(x - 1) + 4 is the radical function y = √x shifted right 1 unit and up 4 units.

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Explanation:

The functions are given below as

To find the values of x for which

By rewriting in standard form,we will have

By factorization, we will have

Answer:

$80

Step-by-step explanation:

Hello!

You simply multiply the number of hours by the amount of money earned per hour. So you multiply 2.5 by 32.

The worker would have earned $80.

For the given number 4 x 5³/₈. The whole part is 4 and the fraction part is 5³/₈. Both are added together to form a fraction of 43/8.

An inappropriate fraction can be created by converting a mixed fraction. Follow the instructions below to accomplish that.

For the given number 4 x 5³/₈.

The whole part is 4.

The fraction part is 5³/₈.

Solving the mixed fraction:

= 5³/₈.

= (5*8 + 3) /8

Both are added together to form a fraction:

= 43/8

The final number becomes:

= 4 x 5³/₈

= 4 x 43/8

= 43/2

Thus, the result of the final number obtained is 43/2.

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No, the sample of p is not approximately normal in this case because the condition np > 10 is not met. N is 27000, p is 0.04 and n is 43, so np = 11.2 which is less than 10.

In order for the sampling distribution of p to be approximately normal, three conditions must be met: np must be greater than 10, n(1-p) must be greater than 10, and N must be large enough that it does not limit the range of the sample proportion. In this case, N is 27000, p is 0.04 and n is 43, so np = 11.2 which is less than 10. Therefore, the sampling distribution of p is not approximately normal. Additionally, the other two conditions are also not met since n(1-p) = 42.6 and N is not large enough that it does not limit the range of the sample proportion. Therefore, the sampling distribution of p cannot be assumed to be normal in this case.

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1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year

Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year

Gross Yearly Income = $31,200

2)Gross Monthly Income = Gross Yearly Income / Months in a Year

Gross Monthly Income = $31,200 / 12 months

Gross Monthly Income ≈ $2,600

Answer:

The original price of the shirt was Ksh 500 and it was sold for Ksh 550.

The discount is the difference between the original price and the selling price, which is Ksh 500 - Ksh 550 = Ksh -50.

To find the percentage discount, we can use the formula:

percentage discount = (discount ÷ original price) × 100%

percentage discount = (-50 ÷ 500) × 100%

percentage discount = -10%

Therefore, the percentage discount is 10%.

Answer:

Step-by-step explanation:

40 minus 25 is 15

15/25 is .6

.6 times 100

60% is the percent increase

Answer:

its 82

Step-by-step explanation:

The value of x is 98°. Therefore, option C is the correct answer.

In the figure, given two angles 82° and 98°.

The angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

We know that corresponding angles are congruent.

From the given figure x = 98°

The value of x is 98°. Therefore, option C is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

Lines a and b are parallel and lines e and f are parallel.

What is the value of x?  

8

82

98

172

Hi there! :)

\(\large\boxed{A = 22 \text{ , } M = 46 }\)

We can solve by setting both equations equal to the same variable.

We are given that M + A = 68 and M = A + 24. The easiest variable to set both equal to would be M.

Rearrange the first equation by subtracting A from both sides:

M = -A + 68

Now that both equations equal to M, we can set the two equal to each other:

-A + 68 = A + 24

Add A to both sides:

68 = 2A + 24

Subtract 24 from both sides:

44 = 2A

Divide both sides by 2:

A = 22.

Plug this back into an equation to solve for M:

M + 22 = 68

M = 68 - 22

M = 46.

Answer:

4.77*10^5<7.47*10^5

Step-by-step explanation:

4.77*10^5=477000

7.47*10^5=747000

we can interpret the value of   \(m'(12) = -15\) as the instantaneous rate of change of the amount of milk in the tanker truck, which is decreasing by 15 gallons per minute at time  \(t = 12\) minutes.

The expression "m'(12)" represents the derivative of the function m(t) with respect to time t, evaluated at t=12. Geometrically, the derivative represents the instantaneous rate of change of the function at the point t=12.

In this case, m'(12) = -15 means that at the time t=12 minutes, the rate of change of the number of gallons of milk in the tanker truck is -15 gallons per minute. This indicates that the amount of milk in the truck is decreasing at a rate of 15 gallons per minute at time t=12.

To calculate m'(12), you need to take the derivative of the function m(t) with respect to t and then evaluate the result at t=12. Assuming you have the expression for m(t), the steps are as follows:

Differentiate m(t) with respect to t:

\(m'(t) = d/dt [m(t)]\)

Evaluate  \(m'(t) at t=12:\)

\(m'(12) = m'(t=12)\)

Therefore, we can interpret the value of   \(m'(12) = -15\) as the instantaneous rate of change of the amount of milk in the tanker truck, which is decreasing by \(15\) gallons per minute at time t = 12 minutes.

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By using rational zeros theorem, we find that there are no real zeros of the polynomial function f(x) = x^3 - x^2 - 37x - 35, so we cannot factor f(x) over the real numbers.

To find the real zeros of the polynomial function f(x) = x^3 - x^2 - 37x - 35, we can use the rational zeros theorem, which states that any rational zeros of the function must have the form p/q, where p is a factor of the constant term (-35) and q is a factor of the leading coefficient (1).

The possible rational zeros of f are therefore ±1, ±5, ±7, ±35. We can then test each of these values using synthetic division or long division to see if they are zeros of the function. After testing all of the possible rational zeros, we find that none of them are actually zeros of the function.

Therefore, we can conclude that there are no real zeros of the function f(x) = x^3 - x^2 - 37x - 35.

However, we could factor it into linear and quadratic factors with complex coefficients using the complex zeros of f(x). But since the problem only asks for factoring over the real numbers, we can conclude that the factored form of f(x) is:

f(x) = x^3 - x^2 - 37x - 35 (cannot be factored over the real numbers)

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The amount of money it would cost to recarpet the rectangular hotel room is equal to $1,752.

In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:

A = LB

Where:

By substituting the given parameters into the formula for the area of a rectangle, we have the following;

Area of rectangular hotel room = 4 × 6

Area of rectangular hotel room = 24 yd²

Now, we can determine the cost as follows;

Cost of recarpet = $73.00 × 24 yd²

Cost of recarpet = $1,752.

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In order to achieve the desired 3% boric acid solution, the 5% and 2% boric acid solutions must be combined.

To do this, we will use the following equation:

Volume of 5% solution (x) + Volume of 2% solution (y) = 60 mL

To solve for x and y, we will use the substitution method. We will start by solving for y first.

Now that we have y, we can substitute it into the original equation.

Finally, we can substitute x back into the equation for y to find our final answer.

Therefore, you will need 20 mL of 5% boric acid solution and 0 mL of 2% boric.

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Solution:

A.

B.

C.

D.

E.

F.

ANSWER:

The expressions that have a value less than -8 are B, D, and F.

The 99.7% confidence interval for the mean of the population is (112.82, 125.18).

The degree of variance or dispersion in a collection of data is measured by standard deviation. It is a statistic that gauges how much values deviate from the dataset's mean (average).

To calculate the 99.7% confidence interval for the mean of the population, we need to use the formula:

Confidence Interval = X ± Z(α/2) * (σ/√n)

where:

X is the sample mean

Z(α/2) is the critical value of the standard normal distribution at α/2 level of significance (α is the level of significance)

σ is the population standard deviation (unknown)

n is the sample size

In this case, X = 119, σ = 16, n = 64, and α = 0.003 (because 99.7% corresponds to the area under the curve outside the range of ±3 standard deviations from the mean, and the standard normal distribution is symmetric around the mean, so we need to split the area of 0.003 equally between the two tails).

Using a standard normal distribution table or calculator, we find that Z(α/2) = Z(0.0015) = 3.090.

Plugging in the values, we get:

Confidence Interval = 119 ± 3.090 * (16/√64)

Confidence Interval = 119 ± 6.18

Therefore, the 99.7% confidence interval for the mean of the population is (112.82, 125.18).

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Answer:

7 cm.

Step-by-step explanation:

Area of the 2 bases = total area - area of curved surface

= 408 - 100 = 308cm^2.

So the area of 1 base = 154 cm^2.

If radius of the base  = r:

pi r^2 = 154

r^2 = 154/pi

r =  sqrt (154/pi)

r = 7.0014 cm

C. The point estimate of the difference between the two population means is 2.

D. The 90% confidence interval estimate of the difference between the two population means is (1.748, 0.867)

Given that:

Sample 1 mean (x1) = 9

Sample 2 mean (x2) = 7

Sample 1 standard deviation (σ1^2) = 2.28

Sample 2 standard deviation (σ2^2) = 1.79

C. To find point estimate of the difference between the two population   means.

sample mean(x1) - sample mean(x 2)

 = 9 - 7

= 2

Therefore, point estimate = 2

D. To find 90% confidence interval estimate of the difference between the two population means

90% confidence for 't'

df = (n1 + n2) - 2

   = 12-2

   = 10

90%  confidence with df = 10 is t

t = 1.812

point estimate + 1 - t * \(\sqrt{\frac{s^2_{1} }{n_{1} } + \frac{s^2_{2} }{n_{2} } }\)

2 + 1 - 1.812*\(\sqrt{\frac{2.28^2}{6} + \frac{1.79^2}{6} }\)

3 - 1.812 *\(\sqrt{0.866 + 0.534}\)

1.188 * 0.9305 + 0.7307

(1.748, 0.867)

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Answer:

--

Step-by-step explanation:

Show all the options please

Not able to see all options

Answer:

25 students are in mr. Watsons class.

Step-by-step explanation:

10/40=.25, so 25 students

Step-by-step explanation:

slope = rise/run = (y2-y1)/(x2-x1)

= (3-2)/(0-3)

=(1)/(-3)=-1/3

The intercept is given in one of the points, (0.3).

y=mx+b

y=(-1/3)x+3

I can't tell if this is one of your options bc I think the copy paste didn't quite come through correctly.

hope u get it!!!!

btw please check the answer whether it is 3 or 2÷7