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madreJ [45]
2 years ago
13

How do you do this question?

Mathematics
1 answer:
Maksim231197 [3]2 years ago
5 0

Answer:

π/10

Step-by-step explanation:

When we rotate the region about the y-axis, we get something that looks like a volcano, or a bundt cake.  Instead of slicing this into flat washers, we'll slice it in concentric rings, or "shells".

Each shell has a radius x, a thickness dx, and a height y.  The volume of an individual shell is:

dV = 2π r h t

dV = 2π x y dx

Since y = x² − x³:

dV = 2π x (x² − x³) dx

dV = 2π (x³ − x⁴) dx

The total volume is the sum of all the shells from x=0 to x=1.

V = ∫ dV

V = ∫₀¹ 2π (x³ − x⁴) dx

V = 2π (¼ x⁴ − ⅕ x⁵) |₀¹

V = 2π (¼ − ⅕)

V = π/10

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Consider the NASCAR race, the Indianapolis 500. Its name refers to the total race distance of 500 miles. There are 44 cars are r
lukranit [14]

Answer: $5289.35

Step-by-step explanation:

Since the cars have an average mileage of 6.78 miles per gallon and the race is 500 miles, the number of gallons each car will take will be:

= 500/6.78

= 73.75 gallons

Since they're 44 cars, the total gallons of fuel will be:

= 44 × 73.75

= 3245 gallons

Since the fuel cost is $1.63 per gallon, the total fuel cost, will be:

= $1.63 × 3245

= $5289.35

8 0
3 years ago
Indicate the method you would use to prove the two ▲'s ≅. If no method applies, enter "none".
zysi [14]

Answer: None


Step-by-step explanation:

In the given picture , there are two triangles and their corresponding angles are equal.

So by AAA similarity criteria they are similar. But there is no other information is given to prove that they are congruent.

[∵ we know that congruent are similar but similar triangles may not be congruent.]

Therefore, there is no sufficient information to prove them congruent by using any given postulate.

Hence, the answer is "None".



4 0
3 years ago
Read 2 more answers
At the start of the month, Jodie had sold 885 copies of her new book. At the end of the month, she had sold 1,364 copies of her
ozzi

Approximately $ 31419 profit is earned from selling books in entire month

<em><u>Solution:</u></em>

Given that Jodie had sold 885 copies of her new book

At the end of the month, she had sold 1,364 copies of her book

We have to determine the profit earned in the entire month

From given information,

Start of month sale = 885 copies

End of month sale = 1364 copies

Total copies of books sold = Start of month sold + end of month sold

Total copies of books sold = 885 + 1364 = 2249

Also given that each book profit is $ 13.97

Profit of 1 book = $ 13.97

<em><u>Therefore for 2249 books, profit earned is given as:</u></em>

Profit of 2249 books = $ 13.97 x 2249 = 31418.53

Therefore approximately $ 31419 profit is earned from selling books in entire month

5 0
2 years ago
Suppose you are making granola bars with 3 cups of oats. How much quinoa, flaxseed, and soy protein would you use would you need
Andreas93 [3]

Answer: \frac{3}{4}\ cup of quinoa, \frac{3}{8}\ cup of flaxseed, 1\ cup of soy protein.

Step-by-step explanation:

<h3> The missing table is attached.</h3>

Let be "q" the amount of cups of quinoa you'd need to use making the granolas with 3 cups of oats.

Based on the table you can write the following proportion:

\frac{\frac{1}{2} }{2}=\frac{q}{3}

Solving for "q", you get:

\frac{1}{4}=\frac{q}{3}\\\\q=\frac{3}{4}

 Let be "f" the amount of cups of flaxseed you'd need to use making the granolas with 3 cups of oats.

With the data given in the table you can write the following proportion:

\frac{\frac{1}{4} }{2}=\frac{f}{3}

Solving for "f", you get:

\frac{1}{8}=\frac{f}{3}\\\\f=\frac{3}{8}

Let be "s" the amount of cups of soy protein you'd need to use making the granolas with 3 cups of oats.

Using the table you can write this proportion:

\frac{\frac{2}{3} }{2}=\frac{s}{3}

Solving for "s", you get:

\frac{1}{3}=\frac{s}{3}\\\\s=1

6 0
3 years ago
I need help Estimate 81/4 but into a number
kondaur [170]
So do 81 divided by 4 we know that 80 divided by 4 is 20 so it would be 20 and some change
7 0
3 years ago
Read 2 more answers
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