Lena took a nap . she fell asleep at 11:37a.m and she woke up at 1:24p.m. how long did she sleep?

Write the equation in slope-intercept form. y - 2 = 6 (x + 1)

zhannawk [14.2K]

Answer:

y=6x+8

Step-by-step explanation:

Write in slope-intercept form, y=mx+b.

7 0

3 years ago

Find the volume of the figure. Round your answer to the nearest tenth if necessary. Use 3.14 for .

sp2606 [1]

Answer:

$\boxed{\rm \: Volume_{(Cylinder)} \approx \: 307.7 \: m {}^{3} } ( \rm \: nearest \: tenth )$

Step-by-step explanation:

Given:

radius = 7 metres
height = 2 metres
π = 3.14

To Find:

Volume of the cylinder

Solution:

Use the formulae of the volume of cylinder:

$\boxed{\rm \: Volume_{(Cylinder)} = \pi{r} {}^{2} h}$

where,

π = 3.14
r = radius
h = height

According to the question:

radius = 7 metres
height = 2 metres

Substitute the values onto the formulae in order to find out the volume:

$\rm \: Volume_{(Cylinder)} = \pi(7) {}^{2} (2)$

$\rm \: Volume_{(Cylinder)} = \pi(49)(2)$

$\rm \: Volume_{(Cylinder)} = 98\pi$

$\rm \: Volume_{(Cylinder)} = \: 98 \times 3.14$

$\rm \: Volume_{(Cylinder)} = 307.72 \: m {}^{3} \: (exact \: form)$

$\boxed{\rm \: Volume_{(Cylinder)} \approx \: 307.7 \: m {}^{3} } \: ( \rm nearest \: tenth )$

Hence,we can conclude that:

The volume of the cylinder is approximately

307.7m³.

8 0

1 year ago

What is the value of x? Show work.

ella [17]

Answer:

x=5

Step-by-step explanation:

This is because the inscribed angle of the circle or angle EFG is equal to the twice of the degree of the arc EG. Therefore, we can create this equation:

12+40=2(8x+10)

12+40=16x+20

20=4x

x=5

5 0

3 years ago

The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and

Travka [436]

Answer:

3.2 feet

Step-by-step explanation:

The equation $f(x)=-0.3x^{2}+2x$ shows the height of water [ $f(x)$ ] and horizontal distance [ $x$ ].

Given the horizontal distance is 4 feet, they want to know the height.

Simply put 4 in $x$ of the equation and solve for $f(x)$ . So,

$f(x)=-0.3(4)^{2}+2(4)\\f(x)=3.2$

So, the height of the water was 3.2 feet above the ground.

4 0

2 years ago

Read 2 more answers

Find the integral, using techniques from this or the previous chapter. ∫x(8-x)3/2 dx

Soloha48 [4]

Answer:

$\int x(8-x)^{3/2}dx= -\frac{16}{5} (8-x)^{\frac{5}{2}} +\frac{2}{7} (8-x)^{\frac{7}{2}} +C$

Step-by-step explanation:

For this case we need to find the following integral:

$\int x(8-x)^{3/2}dx$

And for this case we can use the substitution $u = 8-x$ from here we see that $du = -dx$ , and if we solve for x we got $x = 8-u$ , so then we can rewrite the integral like this: