The prism below is made of cubes which measure of a foot on one side. What is the volume?

A. 12 cubic ft.

B. 4/3 cubic ft.

C. 10/3 cubic ft.

D. 36 cubic ft.

Answer: there is 4 options.

Step-by-step explanation:

there is 2 crusts, 2 sauces, and 3 toppings. he doesn't want pepperoni or white sauce so now there is

2 crusts, 1 sauce, and 2 toppings.

2 times 1 times 2 = 4.

The number of different combinations that are possible for someone who does not care for meat or white sauce is 12 combinations.

Multiplication is one of the most basic arithmetic operations, where multiplications tell us the number of ways a number is added to another.

The number of crust, sauce, and toppings that are present at the pizza shop is,

Type of crust; Thick or Thin = 2

Type of sauce; Red or White = 2

Type of toppings;  pepperoni, cheese, or vegetarian = 3

Thus, the number of different combinations that are possible for someone who does not care for meat or white sauce can be written as,

Number of combinations = 2 × 2 × 3 = 12 combinations

Hence, the number of different combinations that are possible for someone who does not care for meat or white sauce is 12 combinations.

Learn more about Multiplication:

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Answer:

see attached picture

Step-by-step explanation:

I got this by using the free app desmos, you should check it out!

Answer: The answer would be 44 millimeters.

Step-by-step explanation: A parallelogram has to sets of congruent sides. One set has two sides that are 9 millimeters and the other set has two sides that are 13 millimeters. 9+9 = 18, 13+13= 26 and 18+26= 44!

Final answer:

To calculate the perimeter of the parallelogram with sides of 9 millimeters and 13 millimeters, you add the lengths of opposite sides and multiply by 2. The perimeter is 44 millimeters.

Explanation:

The perimeter of a parallelogram is calculated by adding the length of all four sides. Since a parallelogram has opposite sides that are equal in length, if one side is 9 millimeters and another side is 13 millimeters, the other two sides will also be 9 millimeters and 13 millimeters respectively. The formula to find the perimeter (P) is P = 2(a + b), where a and b are the lengths of the sides.

Using this formula:

Let a = 9 mm and b = 13 mm.

Then, P = 2(9 mm + 13 mm).

P = 2 × 22 mm.

P = 44 mm.

Therefore, the perimeter of the parallelogram is 44 millimeters.

Answer:

These ordered pairs can then be plotted into a graph. A pairing of any set of inputs with their corresponding outputs is called a relation. Every function is a relation, but not all relations are functions. In the example above with the carrots every input gives exactly one output which qualifies it as a function.

Step-by-step explanation:

Answer:

y = -5/8x +6

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (7/2 -11)/(4--8)

    = (7/2 - 22/2)/(4+8)

    = (-15/2)/(12)

   = -15/24

Divide top and bottom by 3

   -5/8

Then we can use point slope form to write the equation

y-y1 = m (x-x1)

y- 11 =-5/8(x--8)

y- 11 =-5/8(x+8)

Distribute

y-11 =-5/8 x -5

Add 11 to each side

y-11 = -5/8x -5+11

y = -5/8x +6

Answer:

230 degrees

Step-by-step explanation:

Answer:

[tex]\large\boxed{\sqrt[3]{3^{15}}=243}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{3^{15}}\\\\\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt[3]{3^{5\cdot3}}=\sqrt[3]{(3^5)^3}\\\\\text{use}\ \sqrt[n]{a^n}=a\\\\=3^5=243[/tex]

Answer:

Average rate of change over the interval 2<= x <= 5:

y = 3x + 5:        3

y = 3x^2 + 1:     21

y = 3^x:             78

Step-by-step explanation:

2<= x <= 5

Average rate of change over the interval 2<= x <= 5:

y = 3x + 5

y(5) = 3(5) + 5 = 20

y(2) = 3(2) + 5 = 11

Average rate of change = (20 - 11)/(5-2) = 9/3 = 3

y = 3x^2 + 1

y(5) = 3(5^2) + 1 = 75 + 1 = 76

y(2) = 3(2^2) + 1= 13

Average rate of change = (76 - 13)/(5-2) = 63/3 = 21

y = 3^x

y(5) = 3^5 = 243

y(2) = 3^2 =9

Average rate of change = (243-9)/(5-2) = 234/3 = 78

1. Average rate of change for y = 3x + 5 over 2 <= x <= 5: 3

2. Average rate of change for y = 3x^2 + 1 over 2 <= x <= 5: 21

3. Average rate of change for y = 3^x over 2 <= x <= 5: 78

Matching:

A. Exponential function: ii. Common ratio

B. Quadratic function: iii. No common difference

C. Linear function: i. Common difference

Y-intercepts and Ranges:

1. For y = -2/5 * x + 1:

  - Y-intercept: 1

  - Range: All real numbers (-∞, ∞)

2. For y = -4x^2:

  - Y-intercept: 0

  - Range: [0, ∞)

First, let's calculate the average rate of change for the provided functions over the interval 2 <= x <= 5:

1. For y = 3x + 5:

  - Average rate of change = (f(5) - f(2)) / (5 - 2) = (3(5) + 5 - (3(2) + 5)) / (5 - 2) = (15 + 5 - 6 - 5) / 3 = 9 / 3 = 3

2. For y = 3x^2 + 1:

  - Average rate of change = (f(5) - f(2)) / (5 - 2) = (3(5)^2 + 1 - (3(2)^2 + 1)) / (5 - 2) = (3(25) + 1 - (3(4) + 1)) / 3 = (75 + 1 - 12 - 1) / 3 = 63 / 3 = 21

3. For y = 3^x:

  - Average rate of change = (f(5) - f(2)) / (5 - 2) = (3^5 - 3^2) / (5 - 2) = (243 - 9) / 3 = 234 / 3 = 78

Now, match each type of function to the term that describes its rate of change:

A. Exponential function: ii. Common ratio

B. Quadratic function: iii. No common difference

C. Linear function: i. Common difference

For the next part, we'll find the y-intercepts and ranges for the given functions:

1. For y = -2/5 * x + 1:

  - Y-intercept (where x = 0): y = -2/5 * 0 + 1 = 1

  - Range: Since the coefficient of x is negative, the function is decreasing, and it extends from negative infinity to positive infinity. The range is all real numbers.

2. For y = -4x^2:

  - Y-intercept (where x = 0): y = -4 * 0^2 = 0

  - Range: Since the coefficient of x^2 is negative, the function is concave down and reaches its maximum value at the vertex. The range is [0, ∞) because it never goes below 0.

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Answer:

"They are similar"

Step-by-step explanation:

The means-to-MAD ratio tells how similar two distributions are to each other.

If the ratio is

< 1, this means they are similar

between 1 and 2.5, they are somewhat similar

> 2.5, this means they are different

We see the ratio given is 0.8, which is  < 1, so the distributions are similar.

first answer choice is right.

Answer:

The answer is A.

Step-by-step explanation:

D. All rational numbers are integers

All rational numbers are integers

Step-by-step explanation:

Answer:

S = 1/2 n (n+1)

Step-by-step explanation:

1 + 2 + 3 + ... + n

Now write in reverse order:

n + n-1 + n-2 + ... + 1

Add together:

n+1 + n+1 + n+1 + ... + n+1

n (n+1)

Since this is double the sum:

S = 1/2 n (n+1)

Answer:

1/2n(n+1)

Step-by-step explanation:

If the center of town is the origin then 4 blocks west and 1 block south would be 4 blocks to the left and 1 block down or (-4, -1) house 3 block east and 2 blocks north would be 3 blocks to the right and 2 blocks up or (3, 2) use the distance formula to find the distance between two points. That's all I know! hope this helps!~ just remember to use the distance formula to find the distance between two points.

Answer:

-4,-1 for the house and 3,2 for the school

Step-by-step explanation:

Answer:

D.) 1237 spots

Step-by-step explanation:

We have been given the following regression line;

y= 89.5 + 0.409x

It is reasonable to argue that the number of commuters determines the number of parking spots and as such commuters is our explanatory variable (x). On the other hand, the number of parking spots is our response or dependent variable (y).

We are required to predict the number of parking spots at the Metro-North Station of Greenwich which has 2804 commuters. We are simply asked to determine the value of y when x is 2804 using the regression line;

y = 89.5 + 0.409(2804)

y = 1236.336

y = 1237

Answer:

Step-by-step explanation:

first draw you line down on the equal sign take 2x and devide itso it should be 14/2 you should get 7 2x is no longer there then bring down 9y and add d to 14 thats 23 so its x =23

We need to solve for x.

2x - 9y = 14

Move the 9y to the right side and use inverse operations.

2x = 14 + 9y

Divide both sides of the equation by 2.

x = 7 + 9/2y or x = 7 + 4.5y

I will attach a picture of the graph as well in case that’s what you were looking for.

Answer:

A we can use the sampling distribution to infer about the behavior of all students in the specific district

Step-by-step explanation:

A sample is usually studied or analyzed in order to make inference about the population. It will be more time consuming and costly to study the entire population due to the large number of participants.

In our case, the samples are obtained from a specific school district Michigan. This implies that the researcher is interested in this particular school district and is thus our population of interest. Therefore, we can use the sampling distribution to infer about the behavior of all students in the specific district

We can use the sampling distribution to infer about the behavior of all students in the specific district  

Answer:

It has two solutions

Step-by-step explanation:

The system [tex]\frac{3}{4z}=\frac{1}{4z-3}   + 5[/tex]

If we try to simplify the fractions applying the Lesser Common Factor

We obtain this:

[tex]12z-9=4z+ 5(4z)(4z-3)[/tex]

From this equation, you can see a square term coming up, from where we can say that this system has two solutions

The equation that matches the function shown in the graph is y = 2x + 4

Which equation matches the function shown in the graph?

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

The graph

A linear equation is represented as

y = mx + c

Where

m = slope

c = y-intercept

From the graph, we have the point (0, 4)

This means that

c = 4

So, we have

y = mx + 4

Using the point (-2, 0) on the graph, we have

-2m + 4 = 0

This gives

2m = 4

m = 2

Recall that

y = mx + 4

So, we have

y = 2x + 4

Hence. the equation is y = 2x + 4

Answer:

The average would be 35 miles. If you divide 3,325 by 95 then every gallon is 35. Have a nice day

:)

Step-by-step explanation:

Answer:

35 miles per gallon.

Step-by-step explanation:

The simplest way to solve this problem is to just simplify the fraction given to you.

x/3= her cousins age

Answer:

A

Step-by-step explanation:

Answer:

There is no page!

Step-by-step explanation:

Answer:what page?

Step-by-step explanation:

The formula for volume of a sphere is 4/3 x PI x r^3

Solve for r:

288PI = 4/3 x PI x r^3

Divide both sides by PI:

288 = 4/3 x r^3

Divide both sides by 4/3:

216 = r^3

Take the cubic root of 216 for r:

r = ∛216

r = 6

The radius is 6 cm.

There is no question to answer here ?

Answer:

the answer is your mother

Answer:Hello there!

2y + 4 = 0

2y = -4

y = -2

My assumption is that you'd graph this as a horizontal line at (0,-2) but PLEASE double check with your teacher/instructor because I'm not sure if I'm right.

Hope this helped!

Step-by-step explanation:

Answer:

Step-by-step explanation:

You'll need to share the graphs mentioned in this problem statement.

One can solve  2y + 4 = 0  for y and thus obtain an equation which is easy to graph:

2y + 4 = 0 becomes

2y = -4, or

 y = -2

The graph of this function is the horizontal line y = -2.  Find (0, -2) on your set of coordinate axes and plot a dark dot there.  Then draw a horizontal line thru it.  This line has a slope of zero (0) and a y-intercept of -2.

Answer:

A≈644.58

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

4/16 = 1/4

Answer: The correct option is

(D) 4.

Step-by-step explanation:  Given that the two triangles in the figure are similar.

We are to find the scale factor that can be used to find the missing length x.

From the figure, we note that

two pairs of corresponding lengths of the sides of the given triangles are (4, 16) and (6, x).

And, the scale factor is given by

[tex]S=\dfrac{\textup{length of a side of dilated triangle}}{\textup{length of the corresponding side of the original trinagle}}\\\\\\\Rightarrow S=\dfrac{16}{4}\\\\\Rightarrow S=4.[/tex]

Also, we get

[tex]S=\dfrac{x}{6}\\\\\\\Rightarrow 4=\dfrac{x}{6}\\\\\Rightarrow x=24.[/tex]

Therefore, the missing length x is 24 units and the scale factor is 4.

Option (D) is CORRECT.

Answer:

yes

Step-by-step explanation:

the explanation is that a rhombus is a parallelogram in which all sides are equal. Their diagonals bisect each other at right angles.

The derivative of the equation 4q² + 4q − 1 with respect to q is 8q + 4. The differentiation involves using the power rule and dropping out constants, which results in the derivative 8q + 4.

To find the derivative of an equation 4q² + 4q − 1 with respect to q, we use basic differentiation rules. The power rule states that for any term aq^n, the derivative is naq^(n-1). Applying this rule here:

So, the derivative of the equation 4q² + 4q − 1 with respect to q is 8q + 4. To check your answer, you can use the same technique as previously learned: apply the differentiation rules systematically and verify if the results are consistent.

Answer:

In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle. We use special words to describe the sides of right triangles. The hypotenuse of a right triangle is always the side opposite the right angle.

Step-by-step explanation:

The line that has nothing on it

It would be the height because it is adjacent( or next to) the angle

The opposite side would be the one opposite from the angle- 145m

Hope this helps!!

Answer:

Part 1) The measure of angle C is 90°

Part 2) The measure of angle B is 35°

Part 3) The measure of angle A is 55°

Step-by-step explanation:

we know that

The inscribed angle is half that of the arc it comprises.

step 1

Find the measure of angle C

The diameter divide the circle into two equal parts

so

If AB is a diameter

arc AB=180°

∠C=(1/2)[arc AB]

∠C=(1/2)[180°]=90°

step 2

Find the measure of angle B

arc AC=70°

∠B=(1/2)[arc AC]

∠B=(1/2)[70°]=35°

step 3

Find the measure of angle A

The sum of the internal angles of a triangle must be equal to 180 degrees

so

∠A+∠B+∠C=180°

substitute

∠A+35°+90°=180°

∠A=180°-(35°+90°)

∠A=55°

Answer:

[tex]x=25.24[/tex]

Step-by-step explanation:

To find the value of [tex]x[/tex], we are solving the exponential equation [tex]-6.2^{0.1x} =-100[/tex] using logarithms.

Let's solve it step-by-step

Step 1. Divide both sides of the equation by -1 to get rid of the negative signs:

[tex]-6.2^{0.1x} =-100[/tex]

[tex]\frac{-6.2^{0.1x}}{-1} =\frac{-100}{-1}[/tex]

[tex]6.2^{0.1x} =100[/tex]

Step 2. Take natural logarithm to bot sides of the equation:

[tex]ln(6.2^{0.1x)}=ln(100)[/tex]

Step 3. Use the power rule for logarithms: [tex]ln(a^{x} )=xln(a)[/tex]

For our equation: [tex]a=6.2[/tex] and [tex]x=0.1x[/tex]

[tex]ln(6.2^{0.1x)}=ln(100)[/tex]

[tex]0.1xln(6.2)=ln(100)[/tex]

Step 4. Divide both sides of the equation by [tex]0.1ln(6.2)[/tex]

[tex]0.1xln(6.2)=ln(100)[/tex]

[tex]\frac{0.1xln(6.2)}{0.1ln(6.2)} =\frac{ln(100)}{0.1ln(6.2)}[/tex]

[tex]x=\frac{ln(100)}{0.1ln(6.2)}[/tex]

[tex]x=25.24[/tex]

We can conclude that the value of x in our exponential equation is approximately 25.24.