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jasenka [17]
3 years ago
8

Find the volume of rectangular prism if the length is 4X +3 with is X -6 and a height is 2X -1

Mathematics
1 answer:
cricket20 [7]3 years ago
5 0

Answer: 8x³ - 46x² - 15x + 18

Step-by-step explanation:

To find the volume of a rectangular prism we will multiply each of the three dimensions given

First, let's multiply 4x+3 by x-6: (4x+3)(x-6) = 4x² - 21x - 18

Then we will multiply 4x²... by 2x-1: (4x²-21x-18)(2x-1) = 8x³ - 46x² - 15x + 18

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Is the following shape a rectangle? How do you know?
pogonyaev
I would think it’s a square
7 0
2 years ago
I need help with this please
balandron [24]
The graph is labeled correctly, so it is just a matter of counting the "blocks."

B) To get from Jeremy's house to the school, we need to go down 7 blocks and then 3 more blocks for a total of 10 blocks.

C) To get from Jeremy's house to the library, we need to go left 5 blocks and then 2 more blocks for a total of 7 blocks.
3 0
3 years ago
An instructor who taught two sections of engineering statistics last term, the first with 20 students and the second with 30, de
Lelechka [254]

Answer:

(a) P(X=10) = 0.2070

(b) P(X\geq 10) = 0.3798

Step-by-step explanation:

Note that in this problem we have an initial population N = 50, of which 30 fulfill a certain characteristic "m" (belong to the second section). Then, from the population N, a sample of size n = 15 is selected and it is desired to know how many comply with the desired characteristic (second section).

So

Let X be the number of projects in the second section, then X is a discrete random variable that can be modeled by a hypergeometric distribution.

(a)

Therefore, to answer question (a) we use the following equation presented in the attached image:

Where:

N = 50\\m = 30\\n = 15\\X = 10

Then:

P (X = 10) = \frac{\frac{30!}{10!(30-10)!}\frac{20!}{5!(20-5)!}}{\frac{50!}{15!(50-15)!}}\\\\\\P(X=10) = 0.2070

(b)

For part (b) we have:

P(X\geq10) = 1-P(X

P(X\geq 10) = 1-0.6202 \\\\P(X\geq 10) = 0.3798

4 0
3 years ago
Y = 100 (1- 1/2) ^t<br><br> decay or growth
charle [14.2K]

Answer:

Decay

Step-by-step explanation:

We are given an equation y=100(1-0.5)^t

We need to say about decay or growth of exponential function.

Exponential function: y=a\cdot b^x

Where,

  • a is initial value of exponential function.
  • b is decay or growth of function

For decay: 0<b<1

For growth: b>1

Now we rewrite the equation into this form

y=100(1-0.5)^t

Changes to

y=100(0.5)^t

Here, b=0.5 < 1

Therefore, The given function would be decay.

Thus, y=100(1-0.5)^t is deacy.



8 0
3 years ago
Convert 4x-2y=6 into slope intercept form
DanielleElmas [232]

Answer:

y=2x-3

Step-by-step explanation:

first, you have to get the y by itself (isolate the y). you do this by subtracting 4x from both sides.

4x-2y=6

-2y=-4x+6

next, you have to divide both side by -2 to isolate the y further and get this into slope-intercept form:

-2y=-4x+6

y=2x-3

5 0
3 years ago
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