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3 years ago

Solve 1 + x - 15 =-2/2/3

Mathematics

1 answer:

german3 years ago

4 0

Answer:

1 + x - 15 =-2/2/3

x-14=-2/2/3

x-14=-.33

x=14.33

Step-by-step explanation:

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Which is greater 7/8 or 8/9? explain

alexdok [17]

7/8 is greater because 8/9 you’ll get less out of it

3 0

3 years ago

Read 2 more answers

A ball of radius 15 has a round hole of radius 5 drilled through its center. Find the volume of the resulting solid. Hint: The u

OverLord2011 [107]

Answer:

The volume of the ball with the drilled hole is:

$\displaystyle\frac{8000\pi\sqrt{2}}{3}$

Step-by-step explanation:

See attached a sketch of the region that is revolved about the y-axis to produce the upper half of the ball. Notice the function y is the equation of a circle centered at the origin with radius 15:

$x^2+y^2=15^2\to y=\sqrt{225-x^2}$

Then we set the integral for the volume by using shell method:

$\displaystyle\int_5^{15}2\pi x\sqrt{225-x^2}dx$

That can be solved by substitution:

$u=225-x^2\to du=-2xdx$

The limits of integration also change:

For x=5: $u=225-5^2=200$

For x=15: $u=225-15^2=0$

So the integral becomes:

$\displaystyle -\int_{200}^{0}\pi \sqrt{u}du$

If we flip the limits we also get rid of the minus in front, and writing the root as an exponent we get:

$\displaystyle \int_{0}^{200}\pi u^{1/2}du$

Then applying the basic rule we get:

$\displaystyle\frac{2\pi}{3}u^{3/2}\Bigg|_0^{200}=\frac{2\pi(200\sqrt{200})}{3}=\frac{400\pi(10)\sqrt{2}}{3}=\frac{4000\pi\sqrt{2}}{3}$

Since that is just half of the solid, we multiply by 2 to get the complete volume:

$\displaystyle\frac{2\cdot4000\pi\sqrt{2}}{3}$

$=\displaystyle\frac{8000\pi\sqrt{2}}{3}$

5 0

4 years ago

A rectangular swimming pool is 50 feet long and 25 feet wide.

Scrat [10]

Answer:

Area = 1250 square feet

Step-by-step explanation:

The formula for area of the bottom of the pool is given by:

Area = length× breadth

= 50 × 25

= 1250 square feet

4 0

3 years ago

What is the slope of the line that passes through the points (4, 4)(4,4) and (10, 7) ?(10,7)? Write your answer in simplest form

Mashutka [201]

The slope of line passing through the points (4, 4) and (10, 7) is $\frac{1}{2}$

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

Given that, we have to find the slope of line that passes through the points (4, 4) and (10, 7)

The slope of line passing through $(x_1 , y_1)$ and $(x_2, y_2)$ is given as:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Given two points are (4, 4) and (10, 7)

$\text{ Here } x_1 = 4 ; y_1 = 4; x_2 = 10; y_2 = 7$

Substituting the values in formula, we get

$\begin{aligned}&m=\frac{7-4}{10-4}\\\\&m=\frac{3}{6}\end{aligned}$

Reducing to lowest terms, we get

$m=\frac{1}{2}$

Thus slope of line passing through given points is $\frac{1}{2}$

8 0

3 years ago

Someone please help me

lianna [129]

the answer is A

you put 200 in the bank account. then wrote a check (taking out) for 20 and 30. then deposited (put in) 40

8 0

3 years ago