A number increased by 4 is the same as the number plus 10

On Monday, students at a summer camp spent 4 hours 25 minutes at the pool learning to swim. In the morning, they spent 2 hours 4

Lilit [14]

4 hours and 25 minutes simplifies to 265 minutes
2 hours and 48 minutes simplifies to 168 minutes

Subtract the numbers: 265-168 = 97 minutes left

Convert back to hours and you have 1 Hour 37 minutes at the pool in the afternoon.

5 0

4 years ago

The functions f(x) and g(x) are defined below.

erica [24]

-3 is you answer :)
:^

7 0

3 years ago

What is the approximate area of the circle? Use 3.14 for n.

anastassius [24]

Answer:

12.5 in^2

Step-by-step explanation:

$C=2\pi r$

25=2(3.14)r

25=6.28r

Divide by 6.28 on both sides:

3.98089172=r

Now use $\pi r^{2}$ :

12.5 in^2

6 0

3 years ago

Read 2 more answers

Use the shell method to find the volume of the solid generated by revolving the regions bounded by the curves and lines about th

RSB [31]

Answer:

The volume of the solid is:

$\displaystyle\frac{19\pi}{6}$

Step-by-step explanation:

See the graph of the region attached.

To find the intersection between the line and the parabola we set the equation equal to each other, and solve that quadratic equation by factorization:

$x^2=9-8x\\x^2+8x-9=0\\(x+9)(x-1)=0\\x=-9,x=1$

Since the region is the one for $x\ge 0$ then the intersection we are interested on is x=1 as it can also be seen in the graph.

Then we set the integral using shell method for revolving about the y-axis:

$\displaystyle\int_a^b 2\pi\,x\,h(x)\,dx$

Where h(x) is the height of the shell which here is the distance between the parabola and the line, so $8x-9-x^2$ (since the line is on the top we subtract from it the parabola)

Then the integral becomes:

$\displaystyle\int_0^1 2\pi\,x\,(8x-9-x^2)\,dx$

Notice the limits of the integral are the x-axis (x=0) and the intersection of the parabola and the line that we found before (x=1)

Now, solving the integral:

Start by factoring the $2\pi$ and distributing the x:

$=\displaystyle2\pi \int_0^19x-8x^2-x^3dx$

Then use the basic rule to integrate:

$=\displaystyle2\pi \left[\frac{9x^2}{2}-\frac{8x^2}{3}-\frac{x^4}{4}\right|_0^1$

Then evaluate the antiderivative in the limits and subtract:

$=\displaystyle2\pi\left[\frac{9}{2}-\frac{8}{3}-\frac{1}{4}-0\right]=\frac{19\pi}{6}$

So the volume of the solid is $\displaystyle\frac{19\pi}{6}$

4 0

3 years ago

I have no idea how to do this. Please help.

ioda

Answer:

C. 14,871.21

Step-by-step explanation: You take the number 29,742.42 and multiply it by .2 to get how much they spend on food (5,948.48), and you multiply the same number by .3 to get how much they spend on housing (8,922.73). Then, you add them up to get the total. .2 is acctually 20% of what they spend out of the 29,742.42 and the same for the .3. Hope this wasn't too complicated by the way I explained it.

6 0

4 years ago