Find the volume of the right cone below. Round your answer to the nearest tenth if necessary.
21
8

Answer:

26.6 m

Step-by-step explanation:

The formula for the volume of an hemisphere is given as:

The volume of a hemisphere = (2/3)πr³ cubic units.

Volume = 4960m³

Hence,

4960 = 2/3πr³

4960 = 2 × πr³/3

Cross Multiply

4960 × 3 = 2πr³

Divide both sides by 2π

4960 × 3/2π = 2 πr³/2π

r³ = 2368.2255532

We would cube root both sides.

cube root(r³) = cube root(2368.2255532)

r = 13.329310588 m

Approximately = 13.3m

The formula for diameter = 2 × r

Diameter of the hemisphere = 2 × 13.33m

= 26.6 m

Answer:

26.7 is the right answer.

Step-by-step explanation:

Given that random sample of 25 values is drawn from a mound-shaped and symmetrical distribution. The sample mean is 10 and the sample standard deviation is 2. H0 (null hypothesis) is accepted.

we can infer that -

95 % CI for mean  9.1744 to 10.8256

Since p >0.05 accept null hypothesis.

standard deviation sigma not known.  df = 24

H0:  x bar = 9.5

Ha: x bar not equals 9.5

t-statistic  1.250

P = 0.2234

We fail to reject null hypothesis

There is no statistical evidence at 5% level to fail to reject H0

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Answer:

Step-by-step explanation:

\(\sqrt[5]{(3y)^{4}} = [(3y)^{4}]^{\frac{1}{5}}=(3y)^{4*\frac{1}{5}}=(3y)^{\frac{4}{5}}\)

The 31st term of this arithmetic sequence is equal to 97.

An arithmetic sequence can be defined as a series of real and natural numbers in which each term differs from the preceding term by a constant numerical quantity.

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ =  a₁ + (n - 1)d

Where:

aₙ = 7 + 3(n - 1)

a₃₁ = 7 + 3(31 - 1)

a₃₁ = 7 + 3(30)

a₃₁ = 7 + 90

a₃₁ = 97.

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Complete Question:

For an arithmetic sequence aₙ = 7 + 3(n - 1), what is the 31st term?

Our standard linear slope equation is:

mx + b = y

We're told our slope is 1/2, so that's our m value.

When x = 0 our value is 5. If you need this visualized, then:

1/2 * 0 +b = 5

0 + b = 5

b = 5

So our equation looks like:

x/2 + 5 = y

Answer:

4

Step-by-step explanation:

The slope of a line that is perpendicular is the negative inverse of the original.  The slope of the given line is -1/4.  This means that the slope of the perpendicular line will be 4.

The slope of a line perpendicular to the line; y = -1/4x -1 is:. 4

The line y = -1/4x − 1 takes the slope-intercept form of a straight line; y = mx + c.

In essence, the slope of the line y = -1/4x − 1 is;

Also, the slope of two perpendicular lines are related as follows;

The slope of the line perpendicular to line y = -1/4x − 1 is therefore;

In essence, the slope of a line perpendicular to the line; y = -1/4x -1 is:. 4.

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The probability of grabbing 2 consecutive orange pieces is approximately 0.101.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.

The probability of grabbing 2 consecutive orange pieces without replacement is calculated as:

\(\frac{30}{100}\) × \(\frac{29}{99}\) = 0.090/0.9 = 0.101010101...

Therefore, the probability of grabbing 2 consecutive orange pieces is approximately 0.101.

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Answer:

0,-3

Step-by-step explanation:

See the steps below:) you can use the app photo math. you just take a picture of the problem and it gives you the answer and explains the steps:)

We need derivative of h(t)

\(\\ \sf\longmapsto \dfrac{d}{dx}-16t^2+82t+96\)

\(\\ \sf\longmapsto -32t+82\)

\(\\ \sf\longmapsto h(0)\)

\(\\ \sf\longmapsto -32(0)+82\)

\(\\ \sf\longmapsto 82m\)

Hence

.\(\\ \sf\longmapsto H_{max}=96+82=178m\)

Answer:

\({ \rm{h(t) = 96 + 80t - 16 {t}^{2} }} \\ \\ { \rm{ \frac{dh}{dt} = 0 + 80 - (2 \times 16)t}} \\ \\ { \rm{ \frac{dh}{dt} = - 32t + 80}}\)

• At maximum height, dh/dt is 0

\({ \rm{ - 32t + 80 = 0}} \\ \\ { \rm{ - 32t = - 80}} \\ \\ { \rm{t = 2.5 \: seconds}}\)

• Maximum height = 96 + (80 × 2.5) - (16 × 2.5²)

Max. height = 196 meters

Answer:

\({ \rm{h(t) = 96 + 80t - 16 {t}^{2} }} \\ \\ { \rm{ \frac{dh}{dt} = 0 + 80 - (2 \times 16)t}} \\ \\ { \rm{ \frac{dh}{dt} = - 32t + 80}}\)

• At maximum height, dh/dt is 0

\({ \rm{ - 32t + 80 = 0}} \\ \\ { \rm{ - 32t = - 80}} \\ \\ { \rm{t = 2.5 \: seconds}}\)

Answer:

The fraction that is halfway between 1/2 and 1 1/4 is:  5/8

Step-by-step explanation:

Given the fractions

1/2 and 1 1/4

In order to determine the fraction that is halfway between 1/2 and 1 1/4 first, we need to add the fractions and then divide the result by 2.

1)

Add the numbers

\(\frac{1}{2}\:+\:1\frac{1}{4}\)

as  1 1/4 = 3/4, so

\(\frac{1}{2}\:+\:1\frac{1}{4}=\frac{1}{2}+\frac{3}{4}\)  

Apply fraction rule:  \(\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}\)

             \(=\frac{2+3}{4}\)

              \(=\frac{5}{4}\)

2)

Divide by 2

\(\frac{5}{4}\div \:2\)

Convert element to fraction:  \(2=\frac{2}{1}\)

\(\frac{5}{4}\div 2=\frac{5}{4}\div \:\frac{2}{1}\)

Apply fraction rule:  \(\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\)

         \(=\frac{5}{4}\times \frac{1}{2}\)

Multiply fractions:  \(\frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}\)

         \(=\frac{5\times \:1}{4\times \:2}\)

         \(=\frac{5}{8}\)

Conclusion:

Therefore, the fraction that is halfway between 1/2 and 1 1/4 is:  5/8

Answer:

the radius is 4, it is the same all around, they are similar, all circles are similar

Step-by-step explanation:

you can use Pythagoras's theorem to find the radius. √33 ^2 = 32. the other lengths must be equal because they are radii. therefore they are √16 which is 4.

Step-by-step explanation:

The x-intercept(s) of a quadratic function are equidistant from the vertex. (if any x-intercept exists)

The vertex has x-value 4. Since one of the x-intercepts is 1, the other must be 7.

(7 - 4 = 3, 4 - 1 = 3)

so basically we just us do this

tan(26)=33/FE

Multiply to get rid of fraction

tan(26)FE=33

divide to get FE alone

FE = tan(26) * 33

FE=16.0951m

so it should be 16.0951m

Answer:

its increases by 10 degrees

Step-by-step explanation:

Me. I definitely want to take a break

Total number of people 400 started at the beginning. To calculate the percentage, divide the value by the total value and multiply the result by 100.

Therefore,

Percentage of students dropped = 3%

Number of people dropped this year= 12

To find Total students = (12/3) * 100 = 400

That is to find how many people dropped is = 400 *(3/100) = 12

so we  can rearrange the  formula .

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Given:

On a circle, UT and UV are two tangent

Measure of arc VT = 125 degrees.

To find:

The measure of angle TUV.

Solution:

Intersecting tangents theorem: According to this theorem, if two tangent are drawn to the circle then the measure of angle on the intersection is half of the difference of intercepted major arc and minor arc.

We know that the measure of complete arc of a circle is 360 degrees. So,

\(\text{Major arc}(VT)=360^\circ -\text{Minor arc}(VT)\)

\(\text{Major arc}(VT)=360^\circ -125^\circ\)

\(\text{Major arc}(VT)=235^\circ\)

Using Intersecting tangents theorem, we get

\(m\angle TUV =\dfrac{1}{2}(\text{Major arc}(VT)-\text{Minor arc}(VT))\)

\(m\angle TUV =\dfrac{1}{2}(235^\circ -125^\circ )\)

\(m\angle TUV =\dfrac{1}{2}(110^\circ )\)

\(m\angle TUV =55^\circ\)

Therefore, the measure of angle TUV is 55 degrees.

Answer:

(3x²+4y)(3x²-4y)

Step-by-step explanation:

"difference in two squares" is the formula where a²-b²=(a-b)(a+b)

So we need to apply that formula to \(9x^{4}\)-16y², where \(9x^{4}\) is a and 16y² is b

First, we need to find the two factors, when squared, equal \(9x^{4}\) and 16y²

let's start with \(9x^{4}\)

9 is 3 squared; \(x^{4}\) is x² squared

let's try 3x² as a factor

To double check, we can square it

(3x²)²

apply the Laws of Exponents; square 3 and multiply the power by 2

when you solve, the answer will be \(9x^{4}\)

So it works

now let's find the factor for 16y²

16 is 4 squared, and y² is y squared

so let's try 4y

(4y)²

apply the Laws of Exponents; square 4 and multiply the power by 2

the result is 16y²

Also works!

Now let's apply the formula; as said above, \(9x^{4}\) is a and 16y² is b

so: \(9x^{4}\)-16y²=(3x²+4y)(3x²-4y)

we can even double check this:

multiply the 2 binomials; apply FOIL

\(9x^{4}\)-12x²y+12x²y-16y²

the 2 12x²y's cancel out

and the result is

\(9x^{4}\)-16y²

Hope this helps!

the C-CAPM with power utility and lognormal consumption growth predicts that the representative agent in country A will consume more in the current period and that the price of an identical financial asset will be lower compared to country B.

The C-CAPM is a financial model that relates the consumption patterns and asset prices in an economy. In this scenario, the difference in subjective discount factors implies that the representative agent in country A values future consumption relatively less compared to country B. As a result, the representative agent in country A tends to consume more in the current period, prioritizing immediate consumption over saving for the future.

Furthermore, the C-CAPM suggests that the price of an identical financial asset, such as a stock or bond, will be lower in country A. This is because the higher subjective discount factor in country A implies a higher expected return requirement for investors. As a result, investors in country A will demand a higher risk premium, leading to a lower price for the financial asset.

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Answer:

160

Step-by-step explanation:

Answer:

15 percent

Step-by-step explanation:

First use the equation part over total to get 27/180. Then reduce the equation by dividing both the numerator 27 and the denominator 180 by 9. You are left with 3/20. Then use your calculator or you can work it out long hand to get 0.15. You times 0.15 by 100 if you want to find the percent, leaving you with 15 percent.

I hope this helped! :)

Answer: both

Step-by-step explanation:

Answer:

To perform a 180° rotation about the origin, we simply switch the signs of the coordinates and flip them across the x-axis. So, the new coordinates of the vertices will be:

(2, 1) -> (-2, -1)

(4, 2) -> (-4, -2)

(2, 4) -> (-2, -4)

Plotting these points and connecting them, we get the triangle:

      (2, 4)

        *

       / \

      /   \

(-2, -4)---(-4, -2)

    (2, 1)

After the 180° rotation, the triangle is flipped upside down and its position is mirrored across the origin.

Step-by-step explanation:

Answer:

correct

Step-by-step explanation:

Answer:

-210

Step-by-step explanation:

The percent decrease in the time taken by Celesta is 33.33%.

Percentage of a number is the parts per 100. Or percentage of a number can be calculated by dividing the number with the whole with respect to which we are finding the percentage of the number and then multiply with 100.

Percentage is a dimensionless number because percentage is not measured by any units.

Percentage decrease can be calculated by the formula,

Percentage Decrease = [(Original value - New value) / Original value] × 100

Time that Celesta used to spend on the phone a day = 90 minutes

Original value = 90

Now, celesta spends 60 minutes a day

New value = 60

Percentage decrease = [(90 - 60) / 90] × 100

                                    = [30 / 90] × 100

                                    = [1 / 3] × 100

                                    = 33.33 %

Hence the percent decrease in the time taken by Celesta in a day is 33.33%.

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Answer:

yes it is

Step-by-step explanation:

9×9 is 81 hopes this helps!

Consumer surplus $5 as we solve the Q by given data

Consumer surplus is the difference between the consumer's willingness to pay and the price of the commodity.

Consumer surplus in economics, also called social surplus or consumer surplus, is the difference between the price a consumer pays for a commodity and the price the consumer is willing to pay in exchange for giving it up.

Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.

Consumer Surplus = Willingness to Pay - Price of the Good.

Item Price = $35 - $10 = $25

$30 - $25 = $5

Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.

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Answer:

\(y = \frac{1}{6} x + 6\)

Step-by-step explanation:

The equation of a line can be written in the form of y=mx+c, where m is the gradient and c is the y-intercept. This form is known as the slope-intercept form.

Use the gradient formula below to find the value of m:

\(gradient = \frac{y1 - y2}{x1 - x2} \)

*(x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate.

\(m = \frac{7 - 5}{6 - ( - 6)} \\ m = \frac{2}{12} \\ m = \frac{1}{6} \)

Substitute the value of m into the equation:

y= ⅙x +c

To find the value of c, substitute a pair of coordinates.

When x= 6, y= 7,

\(7 = \frac{1}{6} (6) + c \\ 7 = 1 + c \\ c = 7 - 1 \\ c = 6\)

Thus, the equation of the line is y= ⅙x +6.

Answer:

negative one

Step-by-step explanation:

Answer:

d = 7

Step-by-step explanation:

In the circle shown, the radius is 3.5. The diameter is double the radius (d = 2r), so:

d = 2 (3.5)

d = 3.5 + 3.5

d = 7