A. The slope is 25 and it is the rate of change per month. You will pay this additional amount if you go to the gym every month.
b. The y-intercept is 50. This amount is the constant and does not change since it is a one time fee for the year.

4 0

4 years ago

Read 2 more answers

Drag and drop the words below to correctly complete the statement of the SAS Similarity Theorem.

Olegator [25]

Congruent
An angle
Sides
Proportional
Similar

5 0

3 years ago

(4) A spherical balloon is being inflated so that its diameter is increasing at a constant rate of 6 cm/min. How quickly is the

fredd [130]

In terms of its radius $r$ , the volume of the balloon is

$V(r)=\dfrac{4\pi}3r^3$

The diameter $d$ is twice the radius, so that in terms of its diameters, the balloon's volume is given by

$V(d)=\dfrac{4\pi}3\left(\dfrac d2\right)^3=\dfrac\pi6d^3$

Differentiate both sides with respect to time $t$ :

$\dfrac{\mathrm dV}{\mathrm dt}=\dfrac\pi2d^2\dfrac{\mathrm dd}{\mathrm dt}$

The diameter increases at a rate of $\frac{\mathrm dd}{\mathrm dt}=6\frac{\rm cm}{\rm min}$ . When the diameter is $d=50\,\mathrm{cm}$ , we have

$\dfrac{\mathrm dV}{\mathrm dt}=\dfrac\pi2(50\,\mathrm{cm})^2\left(6\frac{\rm cm}{\rm min}\right)=7500\pi\dfrac{\mathrm{cm}^3}{\rm min}$

or about 23,562 cc/min (where cc = cubic centimeters)

5 0

3 years ago

In each of the following equations, what is y when z=2? When x = 0? Where would the graph of each equation cross the y-axis? Hom

Lelechka [254]

Answer:

a. y = 3 × 0 + 15

y= 0+15

y= 15

Step-by-step explanation:

Subtitute the variables into the place they are denoted with and solve it

And the place where the equation will cross the y axis is just the last numbers i.e. 15 and 3z which is 6

5 0

2 years ago