What multiple of 7 is also a factor of 7

Mathematics

1 answer:

vladimir1956 [14]3 years ago

8 0

Answer:

Step-by-step explanation:

You might be interested in

PLEASE I NEED HELP ON THIS!!! 29 POINTS!!

ElenaW [278]

It's real and rational roots

8 0

2 years ago

Find the exact area of a circle having the given circumference.

blagie [28]

Answer:

Step-by-step explanation:

The formula of an area of a circle:

$A=\pi r^2$

r - radius

The formula of a circumference of a circle:

$C=2\pi r$

We have:

$C=3\pi$

Substitute:

$2\pi r=3\pi$ <em>divide both sides by 2π</em>

$r=1.5$

Substitute:

$A=\pi(1.5)^2=2.25\pi$

3 0

3 years ago

A community theater uses the function p (d) = (-4d+40) (d−40) to model the profit (in dollars) expected in a weekend when the ti

fomenos

The theater make the maximum profit at d = $25. Then the maximum profit of the theatre is $ 900.

<h3>What is differentiation?</h3>

The rate of change of a function with respect to the variable is called differentiation. It may be increasing or decreasing.

A community theater uses the function P(d) = (− 4d + 40) (d − 40) to model the profit (in dollars) expected on a weekend when the tickets to a comedy show are priced at d dollars each.

Then the maximum profit of the theatre will be

The function is P(d) = (− 4d + 40) (d − 40)

Differentiate the function with respect to d and put it equal to zero for maximum or minimum profit.

$\begin{aligned} \dfrac{\mathrm{d} }{\mathrm{d} d}P(d) &= 0\\\\\dfrac{\mathrm{d} }{\mathrm{d} d}(- 4d + 40) (d - 40) &= 0\\\\(-4d+40) -4 (d-40) &= 0\\\\-8d + 200 &= 0\\\\d &= 25 \end{aligned}$

Then the checking for maximum or minimum, again differentiate, we have

$\begin{aligned} \dfrac{\mathrm{d} }{\mathrm{d} d}P(d) &= \dfrac{\mathrm{d} }{\mathrm{d} d}(- 4d + 40) (d - 40) \\\\\dfrac{\mathrm{d} }{\mathrm{d} d}P(d) &= \dfrac{\mathrm{d} }{\mathrm{d} d}(-8d + 200) \\\\\dfrac{\mathrm{d} }{\mathrm{d} d}P(d) &= -8\\\\ \dfrac{\mathrm{d} }{\mathrm{d} d}P(d) & < 0\end{aligned}$