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vazorg [7]
3 years ago
8

I need help with this please. Thanks!

Mathematics
1 answer:
den301095 [7]3 years ago
3 0

Answer:

-1

Step-by-step explanation:

2.5 - 3.5x = 8 - 4x - 6

0.5x = 2 - 2.5

0.5x = -0.5

x = -1

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Varvara68 [4.7K]
It is C, B, A, E, and J
8 0
3 years ago
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y2
HACTEHA [7]

This question is incomplete, the complete question is;

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y2 = 2x, x = 2y; about the y-axis

Answer:

V = π (512/15)

Step-by-step explanation:

Given that;

region of rotation

y² = 2x, x = 2y

Region is rotated about y-axis as shown in the image

for the point of intersection,

y²/2 = 2y

y² - 4y = 0

y(y-4) = 0

∴ y = 0, y = 4

so the region lies in 0 ≤ y ≤ 4

Now cross section area of washer is

A(y) = π(outer radius)² = π(inner radius)²

A(y) = π(2y)² - π(y²/2)²

A(y) = π(4y²) - π(y⁴/4)

A(y) = π(4y² - (y⁴/4))

now volume of the solid of revolution is

V = ⁴∫₀ A(y) dy

V = ⁴∫₀ π(4y² - (y⁴/4))dy

V =  π {4⁴∫₀ y² - 1/4⁴∫₀y⁴ dy }

V = π { 4/3 [y³]₀⁴ - 1/20 [y⁵]₀⁴ }

V = π { 4/3 [4]₀⁴ - 1/20 [4]₀⁴ }

V = π { 4/3 [64]₀⁴ - 1/20 [1024]₀⁴ }

V = π { 256/3 - 1024/20 }

V = π { (5120 - 3072) / 60 }

V = π (512/15)

8 0
3 years ago
50 POINTS AND BRAINLIEST 3. Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B
lisabon 2012 [21]

Answer:

Step-by-step explanation:

A possible word problem for 3x+10 ≤75 could be

Mat has $75 dollars saved in his wallet and wants to use it for go carts. Knowing that the entrance to the park is $10, and each time around the go cart course is $3 what is the maximum times he can go around?

3x+10 ≤ 75, subtract 10 from both sides

    3x ≤ 75-10, divide both sides by 3

      x ≤ 65/3  

 or  x ≤ 21.(6)

So it can go around 21 times the most.

4 0
3 years ago
A speed walker covered 4 1/2 mi in 3/4 hour. How far will he walk in 3/4 hour if he walks
Pavel [41]

Answer:

A=27/4       B=2.25

Step-by-step explanation:

4 and 1/2 also equals 18/4.

18/4+1/2(18/4)=18/4+9/4

18+9=27

Answer is 27/4

B)=4.5/2=2.25

4 0
3 years ago
Which of the following is information a basic loan application would not ask you for? a. name b. date of birth c. Social Securit
Dafna1 [17]

Answer: The answer is (D) auto insurance agency.

Step-by-step explanation:  We are given four options out of which we are to select the one which a basic loan application would not ask us for.

We know that a basic loan application always needs to know some information like name, date of birth, social security number, address, etc.

What it does not need is auto insurance agency, because they do not need any information about this.

Therefore, the correct option is (d) auto insurance agency.

3 0
3 years ago
Read 2 more answers
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