The midpoint of AB is M (-5,0). If the coordinates of A are (-3,3), what are the coordinates of B

Answer:

The equation of the line with a slope of 1/5 that passes through the point (10,9) is:

Step-by-step explanation:

Given

Slope = m = 1/5

Point (10, 9)

To Determine

An equation of the line with a slope of 1/5 that passes through the point (10,9).

We know that the point-slope form of the line equation is

\(y-y_1=m\left(x-x_1\right)\)

where

substituting the values m = 1/5 and the point (10, 9) in the equation

\(y-y_1=m\left(x-x_1\right)\)

\(y-9=\frac{1}{5}\left(x-10\right)\)

Add 9 to both sides

\(y-9+9=\frac{1}{5}\left(x-10\right)+9\)

\(y=\frac{1}{5}x-2+9\)

\(y=\frac{1}{5}x+7\)

Therefore, the equation of the line with a slope of 1/5 that passes through the point (10,9) is:

Answer:

The answer is below

Step-by-step explanation:

Mrs. Fielder decides to build a small snow shelter for her children to wait in before the school bus arrives in the morning. She has only enough wood for a total perimeter of 20 feet.

a. Make a table of all the whole number possibilities for the length and width of the shelter. Find the area of each shelter.

b. What dimensions should Mrs. Fielder choose to have the greatest area in her shelter?

c. What dimensions should Mrs. Fielder choose to have the least area in her shelter?

d. Township building codes require 3 square feet for each child in a snow shelter. Which shelter from part (a) will fit the most children? How many children is this? Explain your reasoning.

Solution:

a) Let W represent the width of the school shelter and let L represent the length of the school shelter. Therefore:

Perimeter of the school shelter = 2(length + breadth)

20 = 2(L + W)

L + W = 10

Also, the area of the school shelter = L * W

Length (ft)              Width (ft)           Area(ft²) = length * width

1                               9                        9

2                              8                        16

3                              7                         21

4                              6                         24

5                              5                         25

b) The shelter with a length of 5 ft and width of 5 ft has the largest area.            

c) The shelter with a length of 1 ft and width of 9 ft has the least area.  

d) The 4 by 6 ft shelter can hold 8 children (24 ft² / 3 ft² = 8) and the 5 by 5 ft shelter can hold 8 children with an extra space (25 ft² / 3 ft² = 8.33).

Answer:

x=3

Step-by-step explanation:

Answer:

t ≈ 16.0 units

Step-by-step explanation:

Using the Sine rule in Δ TUV , that is

\(\frac{t}{sinT}\) = \(\frac{v}{sinV}\) , substitute values

\(\frac{t}{sin135}\) = \(\frac{11}{sin29}\) ( cross- multiply )

t sin29° = 11 sin135° ( divide both sides by sin29° )

t = \(\frac{11sin135}{sin29}\) ≈ 16.0 ( to the nearest tenth )

Answer:

D) \(a(n)=7+(n-1)*12\)

Step-by-step explanation:

It is D since you can replace \(n\) for any value on the \(x\) side of the table and it will give you its corresponding \(y\) value.

Answer:

\(\dfrac{6x+2}5}\)

Step-by-step explanation:

The given expression is :

\(\dfrac{3x}{5}+\dfrac{2}{5}+\dfrac{3x}{5}\)

We need to write the equivalent expression for the above expression.

Taking like terms together,

\(=(\dfrac{3x}{5}+\dfrac{3x}{5})+\dfrac{2}{5}\\\\=\dfrac{3x+3x}{5}+\dfrac{2}{5}\\\\=\dfrac{6x}{5}+\dfrac{2}{5}\\\\=\dfrac{6x+2}5}\)

So, the equivalent expression is \(\dfrac{6x+2}5}\).

Answer:

KR

Step-by-step explanation:

First, you can see the right angle and the 30 degrees. Those are the same, so we can flip the triangle on the right to match the one on the left. The line that is similar is KR.

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

\(d = \sqrt{ ({x_1 - x_2})^{2} + ({y_1 - y_2})^{2} } \\\)

From the question the points are

F(6, 9) and G(4, 14)

The distance between them is

\( |FG| = \sqrt{ ({6 - 4})^{2} + ({9 - 14})^{2} } \\ = \sqrt{( { - 2})^{2} + ({ - 5})^{2} } \\ = \sqrt{4 + 25} \\ = \sqrt{29} \: \: \: \: \: \: \: \: \\ = 5.3851...\)

We have the final answer as

Hope this helps you

please help me I don't know how to do math

Answer:

a=-7

Step-by-step explanation:

divid 3 from both sides step 2 minus 5 from both sides step 3 and then you get a=-7

Partial initialization allows us to initialize only some elements of an array, leaving the rest with default values.

The statement you provided, `int num]= (88, 92, 75, 95, 82)`, contains syntax errors and is not a valid example of partial initialization of an array in C or C++.

To understand partial initialization of an array, let's consider a correct example. Suppose we have an integer array named `num` with a size of 10. We want to initialize the first five elements of the array with specific values, and the remaining elements should be set to 0. Here's how partial initialization would look like:

int num[10] = {88, 92, 75, 95, 82};

In this example, we declare an integer array `num` with a size of 10. We provide an initializer list inside curly braces `{}` to initialize the elements of the array. The first five elements are explicitly initialized with values `88`, `92`, `75`, `95`, and `82`. The remaining elements are automatically set to 0 because we haven't provided explicit values for them.

Partial initialization allows us to initialize only some elements of an array, leaving the rest with default values. It's particularly useful when we want to set certain values while keeping others as defaults, such as zero in the case of integers.

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Answer:

3x^2-1x+8

Step-by-step explanation:

Answer:

A

y=-19/12x+17/12

Step-by-step explanation:

Write in slope-intercept form,y=mx+b

The equation i.e. 19x + 12y = 17 equivalent to the  \(y = \frac{19}{12}x + \frac{17}{12}\).

Given that,

Based on the above information, the calculation is as follows:

19x + 12y = 17

Here we need to solve it for y

\(y = \frac{19}{12}x + \frac{17}{12}\)

Therefore, we can conclude that the first option is correct.

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Answer:

Sure, I can tell you about the four holy sites in Jerusalem. There are actually many holy sites in Jerusalem, but the four most significant ones are the Western Wall, the Church of the Holy Sepulchre, the Dome of the Rock, and the Al-Aqsa Mosque.

The Western Wall, also known as the Wailing Wall, is the most sacred place in Judaism. It is the last remaining part of the Second Temple, which was destroyed by the Romans in 70 CE. Jews from all over the world come to pray at the wall, and many people write prayers on pieces of paper and stuff them in the cracks between the stones.

The Church of the Holy Sepulchre is one of the most important Christian sites in the world. It is believed to be the place where Jesus was crucified, buried, and resurrected. The church is shared by several Christian denominations, including the Greek Orthodox, Roman Catholic, and Armenian Apostolic Churches.

The Dome of the Rock is a Muslim shrine located on the Temple Mount, which is one of the most contested religious sites in the world. The shrine is built on the spot where Muslims believe the Prophet Muhammad ascended to heaven. The Dome is covered in gold and has a beautiful blue mosaic on the inside.

The Al-Aqsa Mosque is the third holiest site in Islam, after Mecca and Medina. It is located on the Temple Mount, next to the Dome of the Rock. The mosque is believed to be the place where the Prophet Muhammad prayed with the other prophets, and it has a beautiful silver dome.

These four holy sites are all located within a few hundred meters of each other, and they are a testament to the deep religious history and significance of Jerusalem. Each site is unique and beautiful in its own way, and they all attract millions of visitors every year.

Step-by-step explanation:

The answer is 48 days

Step-by-step explanation:

a) The test statistic is (4.4-4)/(1.3/sqrt(70)) = 2.83. The p-value is 0.0023. Since the p-value is less than 0.05, we reject the null hypothesis.

b) The test statistic is (5.3-4.4)/sqrt((1.4^2/106)+(1.3^2/70)) = 4.09. The p-value is less than 0.0001. Since the p-value is less than 0.05, we reject the null hypothesis.

Answer:

226 dollars

Step-by-step explanation:

Bryan = 176

Jamie = 88

Nancy = 226

Since Nancy paid 50 dollars more than Bryan paid that is 226.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Nancy, Bryan and Jamie combined their money to purchase a laptop. Together, they paid a total of 490 dollars for the laptop, including tax.

The total = 490 dollars

Given that Nancy paid 50 dollars more than Bryan paid and Bryan paid twice as much as Jamie paid.

Bryan = 2 x Jamie

Nancy = 50 + Bryan

Let Jamie = J

J + 2J + 50 + 2J = 490

5J + 50 = 490

5J = 440

J = 88

Therefore, Bryan = 176

Jamie = 88

Nancy = 226

Hence, Since Nancy paid 50 dollars more than Bryan paid that is 226.

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On solving the provided question, we can say that  the unique point equidistant from points in tetrahedron are PQ/AQ = 3/8

A polyhedron with four triangular faces, six straight edges, and four vertex corners is known as a tetrahedron in geometry, also known as a triangle pyramid. The only regular convex polyhedron with fewer than five faces is the tetrahedron, which is also the simplest of them all. Tetrahedra make up the pyramid at the bottom of the triangle. It is a tetrahedron if it has four faces that are triangular in shape. Regular tetrahedrons are those that have isosceles triangles for their faces and equilateral triangles for their bases. with four sides, a polyhedron

here,

the unique point equidistant from points

PQ/AQ = 3/8

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\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The two sides of the triangles stated above are equal to one another and the one side in common between them, so the Correct criteria to prove them congruent is :

2.1 To show that all partial derivatives of u and v exist at (x, y) = (0, 0) and satisfy the Cauchy-Riemann equations, we need to calculate the partial derivatives of u and v and check their existence and the Cauchy-Riemann conditions.

The function is given as u(x, y) = xy and v(x, y) = x² + y².

Partial derivatives of u:

∂u/∂x = y

∂u/∂y = x

Partial derivatives of v:

∂v/∂x = 2x

∂v/∂y = 2y

All partial derivatives exist at (x, y) = (0, 0) since they are simple functions and do not have any singularities.

Now, let's check if the Cauchy-Riemann equations are satisfied:

∂u/∂x = ∂v/∂y

y = 2y

This equation holds true for all values of y, including y = 0.

∂u/∂y = -∂v/∂x

x = -2x

This equation also holds true for all values of x, including x = 0.

Therefore, all partial derivatives of u and v exist at (x, y) = (0, 0), and they satisfy the Cauchy-Riemann equations.

2.2 To show that f is not continuous at (0, 0) and hence not differentiable at (0, 0), we can examine the behavior of f as (x, y) approaches (0, 0).

The function f(x, y) = u(x, y) + iv(x, y) = xy + i(x² + y²)

As (x, y) approaches (0, 0), both u(x, y) = xy and v(x, y) = x² + y² approach 0. However, f(x, y) = xy + i(x² + y²) approaches 0 + i(0) = i(0) = 0i = 0, which is a different value.

Therefore, f is not continuous at (0, 0), and hence it is not differentiable at (0, 0).

2.3 To investigate whether f is analytic or not, we need to check if it is differentiable in a neighborhood around every point.

Since we have already shown that f is not differentiable at (0, 0), it implies that f is not analytic because differentiability is a necessary condition for analyticity.

2.4 To investigate whether f has a harmonic complex conjugate or not, we need to check if u and v satisfy the Laplace's equation (∇²u = 0 and ∇²v = 0) and if they satisfy the Cauchy-Riemann equations.

The Laplace's equation is not satisfied by u(x, y) = xy because ∇²u = ∂²u/∂x² + ∂²u/∂y² = 0 + 0 ≠ 0.

Therefore, f does not have a harmonic complex conjugate.

2.5 To show that the function f(x, y) = x² - y² - iy is harmonic, we need to demonstrate that it satisfies the Laplace's equation (∇²u = 0 and ∇²v = 0).

For u(x, y) = x² - y², we have ∇²u = ∂²u/∂x² + ∂²u/∂y² = 2 - 2 = 0.

For v(x, y) = -y, we have ∇²v = ∂²v/∂x² + ∂²v/∂y² = 0 + 0 = 0.

Both u and v satisfy the Laplace's equation, indicating that f(x, y) = x² - y² - iy is a harmonic function.

To determine the harmonic conjugate of f, we can integrate the partial derivative of v with respect to x and y, and obtain the imaginary part of the function:

h(x, y) = ∫ (∂v/∂y) dy = ∫ 0 dy = C(y)

Where C(y) is an arbitrary function of y.

The harmonic conjugate of f is given by:

g(x, y) = u(x, y) + ih(x, y) = x² - y² + iC(y)

Therefore, the harmonic conjugate of f(x, y) = x² - y² - iy is g(x, y) = x² - y² + iC(y), where C(y) is an arbitrary function of y.

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To show that all partial derivatives of u and v exist at (x, y) = (0, 0) and satisfy the Cauchy-Riemann equations, we need to calculate the partial derivatives of u and v and check their existence and the Cauchy-Riemann conditions.

The function is given as u(x, y) = xy and v(x, y) = x² + y².

Partial derivatives of u:

∂u/∂x = y

∂u/∂y = x

Partial derivatives of v:

∂v/∂x = 2x

∂v/∂y = 2y

All partial derivatives exist at (x, y) = (0, 0) since they are simple functions and do not have any singularities.

Now, let's check if the Cauchy-Riemann equations are satisfied:

∂u/∂x = ∂v/∂y

y = 2y

This equation holds true for all values of y, including y = 0.

∂u/∂y = -∂v/∂x

x = -2x

This equation also holds true for all values of x, including x = 0.

Therefore, all partial derivatives of u and v exist at (x, y) = (0, 0), and they satisfy the Cauchy-Riemann equations.

2.2 To show that f is not continuous at (0, 0) and hence not differentiable at (0, 0), we can examine the behavior of f as (x, y) approaches (0, 0).

The function f(x, y) = u(x, y) + iv(x, y) = xy + i(x² + y²)

As (x, y) approaches (0, 0), both u(x, y) = xy and v(x, y) = x² + y² approach 0. However, f(x, y) = xy + i(x² + y²) approaches 0 + i(0) = i(0) = 0i = 0, which is a different value.

Therefore, f is not continuous at (0, 0), and hence it is not differentiable at (0, 0).

2.3 To investigate whether f is analytic or not, we need to check if it is differentiable in a neighborhood around every point.

Since we have already shown that f is not differentiable at (0, 0), it implies that f is not analytic because differentiability is a necessary condition for analyticity.

2.4 To investigate whether f has a harmonic complex conjugate or not, we need to check if u and v satisfy the Laplace's equation (∇²u = 0 and ∇²v = 0) and if they satisfy the Cauchy-Riemann equations.

The Laplace's equation is not satisfied by u(x, y) = xy because ∇²u = ∂²u/∂x² + ∂²u/∂y² = 0 + 0 ≠ 0.

Therefore, f does not have a harmonic complex conjugate.

2.5 To show that the function f(x, y) = x² - y² - iy is harmonic, we need to demonstrate that it satisfies the Laplace's equation (∇²u = 0 and ∇²v = 0).

For u(x, y) = x² - y², we have ∇²u = ∂²u/∂x² + ∂²u/∂y² = 2 - 2 = 0.

For v(x, y) = -y, we have ∇²v = ∂²v/∂x² + ∂²v/∂y² = 0 + 0 = 0.

Both u and v satisfy the Laplace's equation, indicating that f(x, y) = x² - y² - iy is a harmonic function.

To determine the harmonic conjugate of f, we can integrate the partial derivative of v with respect to x and y, and obtain the imaginary part of the function:

h(x, y) = ∫ (∂v/∂y) dy = ∫ 0 dy = C(y)

Where C(y) is an arbitrary function of y.

The harmonic conjugate of f is given by:

g(x, y) = u(x, y) + ih(x, y) = x² - y² + iC(y)

Therefore, the harmonic conjugate of f(x, y) = x² - y² - iy is g(x, y) = x² - y² + iC(y), where C(y) is an arbitrary function of y.

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Answer: B) 5

Step-by-step explanation:

3 = 9/3

9/3 < 13/3

————————

5 = 15/3

15/3 > 13/3

————————

-9 = -27/3

-27/3 < 13/3

————————

2 = 6/3

6/3 < 13/3

To find the value of z, we need to calculate the length of the radius of the circle based on the given diameter.

The diameter of the circle is 11 4/5 ft. By dividing the diameter by 2, we can find the length of the radius. In this case, the radius is equal to z + 3.6. Therefore, we can set up an equation and solve for z.

The given diameter of the circle is 11 4/5 ft. To find the length of the radius, we divide the diameter by 2:

11 4/5 ft ÷ 2 = 5 2/5 ft

Since the length of the radius is represented by the expression z + 3.6, we can set up an equation:

z + 3.6 = 5 2/5

To solve for z, we subtract 3.6 from both sides of the equation:

z = 5 2/5 - 3.6

To subtract the fractions, we need to have a common denominator:

z = (27/5) - (18/5)

Subtracting the fractions, we get:

z = 9/5

Therefore, the value of z is 9/5 or 1.8 in decimal form.

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The next term of the geometric series will be 24 / 5.

When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied by that constant term to form a geometric progression.

Given geometric series is 3/5, 6/5, and 12/5.

Common ratio = ( 6/5 ) / ( 3/5 )

Common ratio = 2

The next term will be: ( 12 / 5 ) x 2 =  24 / 5

Therefore, the next term of the geometric series will be 24 / 5.

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The person that has the correct solution to the expression is Jeff because he followed the right process as detailed below. However, Annette is wrong because in step 3, she used -500 instead of +500.

The equation they are trying to solve is;

equation

3250 - M = 1500 + 2(M - 500)

Step 1;

Expand the bracket using distribution property to get;

3250 - M = 1500 + 2M - 1000

Step 2;

Rearrange to get like terms together on either side as;

3250 - M = 1500 - 1000 + 2M

Step 3;

Simplify like terms on either side to get;

3250 - M = 500 + 2M

Step 4;

Using Addition Property of Equality, add M to both sides to get;

3250 - M + M = 500 + 2M + M

Step 5; 3250 = 500 + 3M

Step 6;

Using subtraction Property of Equality, subtract 500 from both sides to get; 3250 - 500 = 500 - 500 + 3M

Step 7; 2750 = 3M

Step 8; Using division property of equality, divide both sides by 3 to get;

2750/3 = 3M/3

Step 9; M = 916.67

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Answer: whatdidshesay

Step-by-step explanation:

We know that 8 tables will be needed to place 32 people using simple mathematical operations.

So, we know that:
There is a total of 32 people.

Each table can have 4 people on it.

So, a number of tables needed to place 32 people:

32/4

8

Therefore, we know that 8 tables will be needed to place 32 people using simple mathematical operations.

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Answer:

x = 122°

Step-by-step explanation:

There is remote angle( non- adjecent angle) and their sum equal to the exterior angle .

Exterior angle is an angle formed from one side of the polygone and the extended side so

<A and <B are remot angle and <BCD is exterior angle .

And we write the equetion as

<A + <B = <BCD

58° + 64° = x°

122° = X°

so the exterior angle ( x ) measures 122° .

The null and alternative hypothesis for testing to see if there is a relatonsip between age and opinion for the question asked by gallup is Divorce Opinions and Gender I.

We introduce the results of a

May 2010 Gallup poll of 1029 US adults. When asked if they view divorce as “morally acceptable”,

71% of the men and 67% of the women in the sample responded yes. In the test for a difference in

proportions, a randomization distribution gives a p-value of 0.165. Does this indicate a significant

Solution

If we use a 5% significance level, the p-value of 0.165 is not less than α = 0.05 so we would not

reject H0 : pf = pm. This means the data do not show significant evidence of a difference in the

proportions of men and women that view divorce as “morally acceptable”

Solution

(a) The p-value (0.003) is small so the decision is to reject H0 and conclude that the mean recall

for sleep (¯xs = 15.25) is different from the mean recall for caffeine (¯xc = 12.25). Since the mean

for the sleep group is higher than the mean for the caffeine group, we have sufficient evidence to

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750 bats leave the barn during the time interval 0 ≤ t < 15 minutes. the expression involving one or more integrals for the total number of bats in the barn at time t for 0 ≤ t < 15 minutes is:  ∫[0,t] (-t^2 + 25t - 100) dt = [(-1/3)t^3 + (25/2)t^2 - 100t] from t = 0 to t = 15
= 375 bats

(a) To find how many bats leave the barn during the time interval 0 ≤ t < 15 minutes, we need to integrate the rate of bats leaving the barn over this time interval.

∫[0,15] (100 - 5t) dt = [100t - (5/2)t^2] from t = 0 to t = 15
= (100(15) - (5/2)(15)^2) - (100(0) - (5/2)(0)^2)
= 750 - 0 = 750 bats

Therefore, 750 bats leave the barn during the time interval 0 ≤ t < 15 minutes.

(b) To find an expression involving one or more integrals for the total number of bats in the barn at time t for 0 ≤ t < 15 minutes, we need to find the net rate of bats entering or leaving the barn at any given time t.

The net rate of bats entering or leaving the barn at time t is given by:

R(t) = E(t) - L(t) = (20t - t^2) - (100 - 5t)
= -t^2 + 25t - 100

If we integrate the net rate of bats over the time interval 0 ≤ t < 15 minutes, we can find the total number of bats in the barn at time t.

∫[0,t] (-t^2 + 25t - 100) dt = [(-1/3)t^3 + (25/2)t^2 - 100t] from t = 0 to t = 15
= [(-1/3)(15)^3 + (25/2)(15)^2 - 100(15)] - [(-1/3)(0)^3 + (25/2)(0)^2 - 100(0)]
= -937.5 + 2812.5 - 1500 = 375 bats

Therefore, the expression involving one or more integrals for the total number of bats in the barn at time t for 0 ≤ t < 15 minutes is:

∫[0,t] (-t^2 + 25t - 100) dt = [(-1/3)t^3 + (25/2)t^2 - 100t] from t = 0 to t = 15
= 375 bats
(a) To find the number of bats that leave the barn during the time interval 0 ≤ t ≤ 15 minutes, we need to integrate the function L(t) = 100 - 5t with respect to time from 0 to 15:

∫(100 - 5t) dt from 0 to 15

This will give us the total number of bats that leave the barn during that time interval.

(b) To find the total number of bats in the barn at time t for 0 ≤ t ≤ 15, we need to find the difference between the number of bats entering and leaving the barn during that time interval. We will integrate the functions E(t) and L(t) and subtract the results:

Total Bats(t) = Initial Bats + ∫(E(t) - L(t)) dt from 0 to t

Where Initial Bats = 1000, E(t) = 20t - t^2, and L(t) = 100 - 5t.

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The amount of wrapping paper that is needed to cover the larger box is equal to 1,323 cm².

In Mathematics and Geometry, a direct proportion simply refers to a mathematical equation which is typically used to represent the equality of two (2) ratios.

By applying direct proportion to the given information, we have the following mathematical equation:

smaller box = larger box

14 cm = 1029 cm²

18 cm = x cm²

By cross-multiplying, we have the following:

14x = 1029 × 18

14x = 18,522

x = 18,522/14

x = 1,323 cm².

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Answer:

12 ft ^3

Step-by-step explanation:

I assume you are looking ofr the volume of this pyramid

V = 1/3 base area * height

base area = area of 3-4-5 triangle =  1/2 * 3 * 4 = 6   ft^2

so Volume is :

1/3  * 6 * 6 = 12 ft^3