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3 years ago

Help can some one do number 10 please

Mathematics

1 answer:

marissa [1.9K]3 years ago

6 0

Download Socratic it'll do everything

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Water flows at a rate of 8000 cubic inches per minute into a cylindrical tank. The tank has a diameter of 128 inches and a heigh

beks73 [17]

Answer:

The height of the water = 6.2 in. to the nearest tenth

Step-by-step explanation:

∵ The rate of flows of water into the tank = 8000 in.³/min.

∴ The volume of the water in the tank after 10 min. = 8000 × 10 = 80000 in.³

∵ The water take the shape of the tank

∴ The height of the water = volume of water ÷ Area of the base of the tank

∵ The tank is cylinder with diameter 128 in. and height 72 in.

∴ The area of the base of the tank = π(128/2)²

∴ The height of the water = $\frac{80000}{\pi(64)^{2}}=6.2169899$

∴ The height of the water = 6.2 in. to the nearest tenth

5 0

3 years ago

Let u,v,wu,v,w be three linearly independent vectors in R7R7. Determine a value of kk, k=k= , so that the set S={u−3v,v−2w,w−ku}

11Alexandr11 [23.1K]

Answer:

1/6

Step-by-step explanation:

For a set of vectors a, b and c to be linearly dependent, the linear combination of the set of vectors must be zero.

C1a + C2b + C3c = 0

From the question, we are given the set S={u−3v,v−2w,w−ku}, the corresponding vectors are a(0, -3, 1), b(-2,1,0) and c(1,0,-k)

The values in parenthesis are the ccoefficients of w, v and u respectively.

On writing this vector as a linear combination, we will have;

C1(0, -3, 1) + C2(-2,1,0) + C3(1,0,-k) = (0,0,0)

0-2C2+C3 = 0........ 1

-3C1+C2 = 0 ........... 2

C1-kC3 = 0 ….......... 3

From equation 2, 3C1 = C2

Substituting into 1, -2(3C1)+C3 = 0

-6C1+C3 = 0

-6C1 = -C3

6C1 = C3.…..4

Substitute 4 into 3 to have

C1-k(6C1) = 0

C1 = k6C1

6k = 1

k = 1/6

Hence the value of k for the set of vectors to be linearly dependent is 1/6

6 0

3 years ago

Could someone help on this question please 15 points

valkas [14]

You multiply then solve for y
<span>(–9.7 • 24) • (–0.25) = –9.7 • (24 • y)
</span>-232.8*(-0.25)=-232.8y
58.2=-232.8y
58.2/-232.8=-232.8y/-232.8
y= -0.25

5 0

3 years ago

10+10 is the same as 11+11<br> do you understand?

vekshin1

Answer:

wow really omg!!!!!!!!

5 0

3 years ago

How to solve<br> -7(-3r+2)=3r-6

Ymorist [56]

Step-by-step explanation:

-7(-3r+2)=3r-6

Distribute the - 7

21r-14=3r-6

Add 14

21r=3r+8

Subtract 3r

18r=8

Divide 18r by 8

2.25 should be the answer to r.

8 0

3 years ago