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Romashka [77]
3 years ago
15

Expand (4x-2y)^3 for math final

Mathematics
1 answer:
lisov135 [29]3 years ago
5 0
In general: <span>(a - b)^3 = a^3 - 3 a^2b + 3 a b^2 - b<span>^3
(4x-2y)^3 = </span></span>(4x)^3 - 3 (4x)^2(2y) + 3 (4x) (2y)^2 - (2y)^3
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Find the volume of the triangular prism in the picture shown. Round your answer to the
Olenka [21]

Given:

A figure of a triangular prism.

Height of triangular base = 9\dfrac{2}{3} yd

Base of triangular base = 4 yd

Height of prism = 4 yd.

To find:

The volume of the triangular prism.

Solution:

Volume of a triangular prism is:

V=Bh              ...(i)

Where, B is the area of triangular base and h is the height of the prism.

Area of triangular base is:

B=\dfrac{1}{2}\times base\times height

B=\dfrac{1}{2}\times 4\times 9\dfrac{2}{3}

B=2\times \dfrac{29}{3}

B=\dfrac{58}{3}

Putting B=\dfrac{58}{3} and h=4 in (i), we get

V=\dfrac{58}{3}\times 4

V=\dfrac{232}{3}

V=77.33...

V\approx 77.3

The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.

4 0
2 years ago
WILL MARK BRAINLIEST Determine the length of LP​
artcher [175]

Answer:

<h2>12 </h2>

Step-by-step explanation:

<h2>2.5x = 30</h2><h2>x = 30 / 2.5</h2><h2>x = 12</h2>
6 0
3 years ago
Three students scheduled interviews for summer employment at the Brookwood Institute. In each case the interview results in eith
adoni [48]

Answer:

a. 8 outcomes

b. Discrete Variable

c. See explanation below

Step-by-step explanation:

a.

Let N = No Offers made

Let Y = Offers made

The Expected outcome are as follows:

NNN, NNY, NYN, YNN, NYY, YNY, YYN, YYY

= 8

b.

Let x = number of offers made

X is said to be discrete if x can take values that are restricted to a defined or limited values

X is said to be continuous if x can take a range of values that is not restricted to any range(i.e. continuous)

Looking at the brief description above, we can conclude that x is discrete

c.

NNN, 0

NNY, 1

NYN, 1

YNN, 1

NYY, 2

YNY, 2

YYN, 2

YYY, 3

Where 0 to 3 represents number of offers at every instance

5 0
3 years ago
D=<img src="https://tex.z-dn.net/?f=d%3D%5Csqrt%7Bx%7D%20%281-%28-5%29x%5E%7B2%7D%20%2B%20%28-5-3%29x%5E%7B2%7D" id="TexFormula1
aleksandr82 [10.1K]
Bro i don’t know either
3 0
3 years ago
Whích graph is generated by this table of values?
arlik [135]

Answer:

23132as

Step-by-step explanation:

kasjdjjaskdsksdjdj

4 0
2 years ago
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