All categories

3 years ago

5/8 + 3/4 _______ -2/3 - 5/6

Mathematics

1 answer:

Leno4ka [110]3 years ago

8 0

Answer:

-11/12

Step-by-step explanation:

Last one

You might be interested in

Air is being pumped into a spherical balloon so that its volume increases at a rate of 100 cm3/s. How fast is the radius of the

love history [14]

Answer:

$\frac{1}{9\pi} cm/s \ or \ 0.0354cm/s$

Step-by-step explanation:

question tests our knowledge of differentiation:

$\frac{dV}{dt} =100\frac{cm^3}{s}\\d=2r=30\\=>r=15$

Find $\frac{dr}{dt}$

Given the formula for a sphere's volume is

$V=\frac{4}{3}\pi r^3$

Take derivatives on both sides:

$\frac{d}{dt}(V)=\frac{d}{dt}(\frac{4}{3}\pr r^3)}\\\frac{dV}{dt}=\frac{4}{3}\pi (3r^2)\frac{dr}{dt}=4\pi r^2 \frac{dr}{dt}$

Hence;

$=\frac{dr}{dt}=\frac{1}{4\pi r^2}.\frac{dV}{dt}\\=\frac{dr}{dt}=\frac{1}{4\pi(15^2)}.100\\=\frac{1}{9\pi}$

Hence, the balloon radius increases at the rate of

$\frac{1}{9\pi} cm/s \ or \ 0.0354cm/s$

7 0

3 years ago

The volume of

BARSIC [14]

0.1

1*100 = 100
100/1000
=0.1

8 0

4 years ago

Read 2 more answers

What is the positive solution to the equation 3x^2−12=0?

pantera1 [17]

Answer:

B) 2

Step-by-step explanation:

<u>Solve the equation:</u>

3x² - 12 = 0
x² - 4 = 0
x² = 4
x = √4
x = 2 is the positive solution

Correct choice is B

3 0

3 years ago

A football thrown by a quarterback follows a path given by hx=-0.0095x2+x+7, where h is the height of the ball in feet and x is

Wewaii [24]

Answer:

The ball can be knocked down at a horizontal distance of 3.09 feet or 102.17 feet from the marshal.

Step-by-step explanation:

We have the function that represents the height h (x) of the ball $h(x) = -0.0095x^2 + x + 7$

Where x is the horizontal distance of the ball.

We want to find the horizontal distance the ball is at (horizontal distance between the field marshal and the ball) when it is at a height of 10 feet.

To do this, we must do h (x) = 10

$10 = -0.0095x^2 + x + 7\\0 = -0.0095x^2 + x -3$

Now we must solve the second degree equation. For this we use the formula of the resolvent:

$\frac{-b + \sqrt{b ^ 2 - 4 * a * c}}{2a}$

and

$\frac{-b - \sqrt{b ^ 2 - 4 * a * c}}{2a}$

$\frac{-1 + \sqrt{1 ^ 2 - 4 * (- 0.0095)(-3)}} {2 (-0.0095)} = 3.09$ ft

and

$\frac{-1 - \sqrt{1 ^ 2 - 4 * (- 0.0095)(-3)}} {2 (-0.0095)} = 102.17$ ft

Then, the ball can be knocked down at a horizontal distance of 3.09 feet or 102.17 feet from the marshal.

7 0

4 years ago

PLEASE QUICKLY!!!!Find the specified vector or scalar. Show your work. u = -4i + 1j and v = 4i + 1j; Find ‖u +v ‖.

juin [17]

To add vectors, simply add the first coordinates from each and then add the second coordinates from each. In other words, add the i terms together and then add the j terms together. So u + v = <0, 2>.

3 0

3 years ago