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2 years ago

Lesson 16

Mathematics

1 answer:

Goshia [24]2 years ago

6 0

Answer:

546 ft³

Step-by-step explanation:

In the figure attached, the top view of the pool is shown. It can be decomposed into a trapezoid which height is 12 ft and which bases are 9 ft and 11 ft; and a rectangle which height is 1.5 ft and and it base is 11 ft.

Area of the trapezoid: (9 + 11)/2 * 12 = 120 ft²

Area of the rectangle: 1.5*11 = 16.5 ft²

Total area: 120 + 16.5 = 136.5 ft²

Volume of the pool: Total area * deep = 136.5 * 4 = 546 ft³

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If f(x))= x/2 + 8, what is f(x) when x=10

Inga [223]

10 divided by 2 is 5, 5 + 8 is 13
thus f(10)= 13
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2 years ago

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a seed company has a test plot in which it is testing the germination of a hybrid seed, They plant 50 rows of 40 seeds per row.

ziro4ka [17]

Answer:

Mean = $\sum x P(x) = 36.86$

Standard deviation = $\sum x^2P(X)=1360.9$

Step-by-step explanation:

x P(x) $x \times P(x)$ $x^2 \times P(x)$

33 0.02 0.66 21.78

34 0.06 2.04 69.36

35 0.1 3.5 122.5

36 0.2 7.2 259.2

37 0.24 8.88 328.56

38 0.26 9.88 375.44

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40 0.02 0.8 32

1 36.86 1360.9

We are supposed to find mean and standard deviation

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Standard deviation = $\sum x^2P(X)=1360.9$

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2 years ago

List all the factors of 392.

pshichka [43]

Answer:

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392.

UMM.. Not sure

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2 years ago

Completely factor each of the given polynomials. If a polynomial cannot be factored, write "not factorable."

Art [367]

4x^2+23x+15=0
Δ=23^2-4*4*15=529-240=289

x1= (-23+17)/8=-6/8= -3/4
x2= (-23-17)/8=-5

4x^2+23x+15= 4(x+3/4)(x+5)=(4x+3)(x+5)

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2 years ago

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ehidna [41]

Let t, f, and s be the amount of 25%, 40%, and 60% solutions used.

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100(0.25t+0.4f+0.6s)/(t+s+f)=45, and using s=3f we have:

(0.25t+0.4f+1.8f)/(t+4f)=0.45

(0.25t+2.2f)/(t+4f)=0.45

0.25t+2.2f=0.45t+1.8f

0.25t+0.4f=0.45t

0.4f=0.2t

t=2f, remembering that s=3f, will allow us to solve for f

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3 years ago