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2 years ago

From y² + 5 y - 7, subtract y² - 3 y - 4

1 answer:

3 0

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Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of f(x)=x^2+2 for 0≤x≤5 about x

Irina18 [472]

For each x in the interval 0 ≤ x ≤ 5, the shell at that point has

• radius = 5 - x, which is the distance from x to x = 5

• height = x ² + 2

• thickness = dx

and hence contributes a volume of 2π (5 - x) (x ² + 2) dx.

Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region:

$\displaystyle 2\pi \int_0^5 (5-x)(x^2+2)\,\mathrm dx=2\pi\int_0^5 (10-2x+5x^2-x^3)\,\mathrm dx=\boxed{\frac{925\pi}6}$

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2 years ago

Mike's age is five more than three times his sister's age. Mike is seventeen years old.

Agata [3.3K]

3x+5=17 that's the answer

7 0

3 years ago

Read 2 more answers

Lupita rides a taxi that charges a flat rate of $6.75 plus $3.20 per mile. If the taxi charges Lupita $40.03 in total for her tr

Alex777 [14]

Hello! In order to understand this question, we need to take a look at the content that is involved.

Lupita pays $40.03 in total. Meaning that's where we are going to start if we want to find out how many miles her ride was. Since the taxi charges a flat rate of $6.75. We would want to subtract it from her total value because we only work with that flat rate once. Which ends up giving us $33.28. From there, we don't need to worry about the flat rate anymore and we now focus on the mileage. If it costs $3.20 per mile, then we can simply divide the amount after to flat rate by the cost per mile, to figure out how many miles she has gone. In the end, you will get 10.4 miles.

8 0

3 years ago

Brandon rode in a taxi that charges a flat fee of $2.25 and an additional $0.40 per mile of his trip. If he paid $6.80 for the c

r-ruslan [8.4K]

Answer:

11 $\frac{3}{8}$ miles.

Step-by-step explanation:

To find how many miles Brandon rode, we can create an equation in slope-intercept form: y = mx + b

$2.25 is the flat fee, or the unchanging variable. This is our y-intercept, or b.

$0.40 is the changing variable, as it changes value depending on the amount of miles ridden. This is our slope, or m.

We know Brandon spent $6.80 on the cab ride. So, this is our y.

We get the equation: 6.80 = 0.40x + 2.25.

To solve, first subtract 2.25 from both sides of the equation:

6.80 - 2.25 = 0.40x + 2.25 - 2.25

We get: 4.55 = 0.40x

Now, just divide by 0.40 on both sides:

4.55 ÷ 0.40 = 0.40x ÷ 0.40

We get: 11.375 = x

So, Brandon rode for 11.375 miles. When converted to a mixed number, we get 11 $\frac{3}{8}$ .

I would appreciate brainliest, if not that's ok!

6 0

2 years ago

What is 0.002 1/10 of

ki77a [65]

0.002 1/10 of what
=> 1/10a = 0.002
=> Now, let’s multiply both sides with 10 to find the answer since we’re looking for the 1/10 of what number.
=> 10 x 1/10 a = 10 x 0.002
=> a = 0.02

Thus, 0.002 is the 1/10 of 0.02 number.
let’s check if we have a correct answer.
To check just do the other way around, Divide our answer by 10.
=> 0.02 / 10
=> 0.002
Therefore, our answer is correct

5 0

3 years ago

From y² + 5 y - 7, subtract y² - 3 y - 4​

From y² + 5 y - 7, subtract y² - 3 y - 4