$V = \pi r^2 h \\ \\ \frac{dV}{dt} = 2\pi r h \frac{dr}{dt} + \pi r^2 \frac{dh}{dt} \\ \\ -5 =2 \pi (500)(.01)\frac{dr}{dt} + \pi (500^2)(-.001) \\ \\ \frac{dr}{dt} = \frac{250 \pi -5}{10 \pi} = \frac{50 \pi - 1}{2 \pi}$

7 0

3 years ago

What is the slope of the line that passes through the points (4,10) and (1,10) in simplest form

GuDViN [60]

Answer:

Step-by-step explanation:

We can find the slope by using

m = (y2-y1)/(x2-x1)

= (10-10)/(1-4)

= 0/-3

7 0

3 years ago

Write the equation of the line in point-slope form of the given point and slope. This is an essay style question. If you hit the

svp [43]

Answer:

Step-by-step explanation:

The point-slope form of the equation will be expressed as;

y - y0 = m(x-x0) where;

m is the slope

(x0, y0) is the point on the line

Given

Slope m = 3/7

Point (x0, y0) = (7, -2)

Substitute into the equation;

y - y0 = m(x-x0)

y - (-2) = 3/7 (x - 7)

y + 2 = 3/7(x-7)

Hence the equation in point-slope form is y + 2 = 3/7(x-7)

3 0

3 years ago

I need help with this equation can someone please help me

Vanyuwa [196]

Answer:

d= 24

Step-by-step explanation:

-2= d/3 - 10

-6= d-30

-d=-30+6

-d= -24

d= 24

6 0

3 years ago