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ss7ja [257]
3 years ago
6

Carolyn averaged 10.4 miles per hour. At that rate, how far could she ride from 8:00 A.M. to 10:30 A.M.?

Mathematics
1 answer:
Georgia [21]3 years ago
5 0

The answer is 26 miles.

Explanation:

10:30-8:00= 2:30.

10.4÷2=5.2

10.4 ×2÷ 20.8 +5.2= 26

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Find the volume of the solid generated when R​ (shaded region) is revolved about the given line. x=6−3sec y​, x=6​, y= π 3​, and
Dmitrij [34]

Answer:

V=9\pi\sqrt{3}

Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

The formula we will use for this problem is the following:

V=\int\limits^b_a {\pi r^{2}} \, dy

where:

r=6-(6-3 sec(y))

r=3 sec(y)

a=0

b=\frac{\pi}{3}

so the volume becomes:

V=\int\limits^\frac{\pi}{3}_0 {\pi (3 sec(y))^{2}} \, dy

This can be simplified to:

V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy

and the integral can be rewritten like this:

V=9\pi\int\limits^\frac{\pi}{3}_0 {sec^{2}(y)} \, dy

which is a standard integral so we solve it to:

V=9\pi[tan y]\limits^\frac{\pi}{3}_0

so we get:

V=9\pi[tan \frac{\pi}{3} - tan 0]

which yields:

V=9\pi\sqrt{3}]

6 0
3 years ago
Can someone help me plz??
Brut [27]

Answer:

96π

Step-by-step explanation:

v =  \frac{1}{3}  {r}^{2} h\pi

V=96π

5 0
3 years ago
What are the next three terms of each sequence?5,7.5
leva [86]

Answer:

The next three terms are 10, 12.5 and 15

Step-by-step explanation:

I. As you can see 5 and 7.5 is came from 5, 5 + 2.5

So given y = 5 + 2.5( x - 1 ) when y is output, x is term

II. Perform x = 3, 4, 5

        So y = 5 + 2.5( 3 - 1 )

                = 5 + 5

          3rd = 10

             y = 5 + 2.5( 4 - 1 )

                = 5 + 7.5

            4th = 12.5

             y = 5 + 2.5 (5 - 1)

                = 5 + 10

             5th = 15

Leave comment below.

3 0
3 years ago
Mr. Loza had to stop at 7-Eleven for gas on his way to school. He bought four gallons of gasoline for $16.80. How much is the pr
mihalych1998 [28]

Answer:

Every gallon costs $4.20

Step-by-step explanation:

If you divide the money he spent and the gallons he needed, you come up with a total price of $4.20 a gallon. For the amounts of gallons he could get with $40 bucks, he would have 9.5 gallons, as you just need to divide 40 by 4.2. I hope this helps :)

4 0
3 years ago
Read 2 more answers
Me ayudan por favor ❤️
Ghella [55]

Answer:

Step-by-step explanation:

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