What is the volume of the right prism? 5 cm 10 cm 6 cma.2250 cm3
b.1500 cm3
c.150 cm3
d.25 cm3

Answers

Answer 1

Answer: I will just give you the answer because I do not feel like explaining it oh what the heck I will do it any ways! it is c because it is LxWxH= your answer that is why it is c

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A 12 ounce bottle of shampoo last enrique 16 weeks.how lonh would you expect an 18 ounce bottle of the same brand to last him?

Answers

For Enrique a 12 ounce bottle lasts for 16 weeks. This is a known fact. We need to find the amount of days or weeks an 18 ounce bottle of the same brand of shampoo last.
Now
12 ounce bottle lasts = 16 weeks
   = (16 * 7) days
   = 112 days
18 ounce bottle lasts = (112/12) * 18
      = 168 days
   = 168/7 weeks
   = 24 weeks
So 18 ounce of the same brand of shampoo will last for 24 weeks.

Which of the following are the factors of t4 – 81?A. (t – 3)(t + 3)2
B. (t – 3)(t + 3)(t2 + 9)
C. (t2 – 9)(t2 – 9)
D. (t – 3)2(t + 3)2

Answers

$t^4 - 81 =\n\n(t^2)^2 - (9)^2=\n\n(t^2 - 9)(t^2 + 9) =\n\n\boxed{\bf{ (t-3)(t+3)(t^2 + 9)}}$

Your answer is B.

$t^4 - 81 \n \n (t^2)^2 - 9^2 \n \n (t^2 + 9)(t^2 - 9) \n \n (t^2 + 9)(t^2 - 3^2) \n \n (t^2 + 9)(t + 3)(t - 3) \n \n$

The final result is: B

A function is shown in the table.. . . xg(x). −22. −1−3. 02. 117. . . Which of the following statement is a true for this function? The function is increasing from x = −2 to x = −1..
The function is increasing from x = 0 to x = 1..
The function is decreasing from x = −1 to x = 0..
The function is decreasing from x = 0 to x = 1..

Answers

Only one statement is correct:
B ) The function is increasing from x = 0 to x = 1
Explanation: g ( 0 ) = 2, g ( 1 ) = 17, 2 < 17.

Answer:

The statement that is true for the function is:

The function is increasing from x = 0 to x = 1.

Step-by-step explanation:

We are given a table of values for the function g(x) as:

x g(x)

-2 2

-1 -3

0 2

1 17

By looking at the table of values of the function g(x) we have:

The function g(x) is firstly decreasing from x=-2 to x=-1

Then it is increasing from x=-1 to x=1.

Hence, the statement that holds true from the given set of values of function g(x) is:

The function is increasing from x = 0 to x = 1.

( Since, the function takes the value at x=0 as g(x)=2

and the function takes the value at x=1 as g(x)=17)

The graph below shows the velocity f(t) of a runner during a certain time interval:graph of line segment going through ordered pairs 0, 6 and 6, 8. Graph of another line segment going through the ordered pairs 6, 8 and 8, 0. Label on the x axis is time in seconds and label on the y axis is velocity in meters per second

Which of the following describes the intercepts on the graph?

The initial acceleration of the runner was 8 m/s2, and the runner stopped after 6 seconds.

The initial acceleration of the runner was 6 m/s2, and the runner stopped after 8 seconds.

The initial velocity of the runner was 8 m/s, and the runner stopped after 6 seconds.

The initial velocity of the runner was 6 m/s, and the runner stopped after 8 seconds.

Answers

When graphs are plotted, graphs as in the .jpeg image in attachment are obtained.
First graph is line going through ordered pair (point) (0,6) and pair (6,8).
The second graph is line going through ordered pair (6,8) and pair (8,0).
Intercept of these graphs is point (ordered pair) (6,8).
You see from the .jpeg image that the following is true:
Initial velocity of the runner is 6 meters per second (runner starts with this velocity), for a while he runs, velocity grows, then in the 6th second (time=6), runner starts to slow down and velocity starts to decrease, and runner stops totally at time = 8.
So runner stops after 8 seconds.
The 4th claim (sentence) is correct.

First you draw the graph described by the problem to see a better picture of the situation. From the problem the points on the graph are (0,6), (6,8) and (8,0). The first point meant that at time zero the velocity is 6m/s. Then when time is at 8 sec the velocity is zero. The answer to the question is the last choice.

The graph of it's a vertical translation of the graph of the parent linear function a right triangle with an area of 50 square units is formed by the x-axis the y-axis and the graph.f(x)=

Answers

Answer:

Step-by-step explanation:

I see that you want to find the equation of a linear function that forms a right triangle with the x-axis, y-axis, and has an area of 50 square units. To clarify, let's work through this step by step.

A right triangle can be formed with the x-axis and y-axis as two sides, and the third side represented by the graph of a linear function. The area of this right triangle can be found using the formula for the area of a triangle:

Area = (1/2) * base * height

In this case, one of the legs (base) of the right triangle is along the x-axis, and its length is determined by the x-coordinate at which the linear function crosses the x-axis. The other leg (height) is along the y-axis, and its length is determined by the y-coordinate at which the linear function crosses the y-axis.

Let's assume that the linear function is of the form:

f(x) = mx + b

where "m" is the slope and "b" is the y-intercept.

The x-coordinate where the linear function crosses the x-axis is given by:

x-coordinate = -b/m

The y-coordinate where the linear function crosses the y-axis is "b."

Now, let's calculate the area of the right triangle:

Area = (1/2) * (length of base) * (length of height)

Area = (1/2) * (-b/m) * b

Given that the area is 50 square units, we can set up the equation:

(1/2) * (-b/m) * b = 50

Now, you can solve this equation for "m" and "b" to find the equation of the linear function that satisfies the given conditions.