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Ber [7]
4 years ago
7

A rectangular box has a square base. its height is one fourth the width of the base. find a function that models its volume v in

terms of its width w.
Mathematics
1 answer:
Keith_Richards [23]4 years ago
6 0
The volume of the box will be given by:
V=length*width*height
let the length be w, given that the base is square, the length=w. 
The height is one fourth the width, thus height will be:
1/4w.
Therefore:
length=w
width=w
height=1/4
thus
V=w×w×1/4w
V=1/4w³ cubic units

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PLEASE HELP! 13 POINTS!!! WILL MARK BRAINLIEST!!!!
tino4ka555 [31]
For all linear functions
f(x)=mx+b
m = slope
b = y-intercept (i.e.value of f(0), or value of y when x=0)

We're given 
f(x)=-2x+5  => slope = -2, y-intercept=5

Examine the graph of g(x),
we have two intercepts (0,4) and (2,0)
this means slope=(0-4)/(2-0)=-2
y-intercept = 4 (y-value of (0,4)
therefore the equation of g(x)
g(x)=-2x+4  => slope = -2, y-intercept = 4

Means 
A. slope of f(x)=slope of g(x) =-2
B. y-intercept of f(x)=5 > y-intercept of g(x)=4


6 0
3 years ago
Read 2 more answers
Customers who purchase an aluminum-structured Audi A8 can order an engine in any of three sizes: 2.0L, 2.4L, and 2.8L. Of all Au
sergiy2304 [10]

Answer:

The probability that an Audi A8 car with 2.4L engine is selected given that the car failed emissions test taken within four years of purchase is 0.3589.

Step-by-step explanation:

Let's denote event as follows:

<em>A</em> = an Audi A8 car has a 2.0L engine.

<em>B</em> = an Audi A8 car has a 2.4L engine.

<em>C</em> = an Audi A8 car has a 2.8L engine.

<em>X</em> = an Audi A8 car failed emissions test taken within four years of purchase.

The information provided is:

P(A)=0.45\\P(B)=0.35\\P(C)=0.20\\P(X|A)=0.10\\P(X|B)=0.12\\P(X|C)=0.15

The probability that an Audi A8 car with 2.4L engine is selected given that the car failed emissions test taken within four years of purchase is:

P(B|X)=\frac{P(X|B)P(B)}{P(X)}

Compute the probability of an Audi A*8 car failed emissions test taken within four years of purchase as follows:

P(X)=P(X|A)P(A)+P(X|B)P(B)+P(X|C)P(C)\\=(0.45\times0.10)+(0.35\times0.12)+(0.20\times0.15)\\=0.117

Compute the value of P (B|X) as follows:

P(B|X)=\frac{P(X|B)P(B)}{P(X)}=\frac{0.35\times0.12}{0.117} =0.3589

Thus, the probability that an Audi A8 car with 2.4L engine is selected given that the car failed emissions test taken within four years of purchase is 0.3589.

4 0
4 years ago
Randy has to pick two people to work with out of 15. How many different groups can he pick?
Novosadov [1.4K]
He can only pick 7 different groups because 2 times 7 is 14, and there are 15 people in all.

Hope this helps. c:
5 0
3 years ago
Read 2 more answers
The dashed-lined figure is a dilation image of EFGH. Is D(n,H) an enlargement or a reduction? What is the scale factor n of the
alexandr1967 [171]

Answer:

n = 3; enlargement

Step-by-step explanation:

The dashed-line figure is larger. That is the meaning of "enlargement."

Points on the dashed-line figure are 3 times the distance from point H as the corresponding point on the sold-line figure, so the scale factor is 3.

7 0
4 years ago
I need a specific explanation of how to answer this
zimovet [89]
A rectangle has two dimensions, width and length, and the area of it is their product.

since we know its area is 3x²-11x-4, then the two factors from that trinomial are the likely width and length, namely (3x + 1) (x - 4).

you can check them with FOIL.
5 0
3 years ago
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