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3 years ago

How much of the circle is shaded write your answer as a fraction in the simplest form

Mathematics

1 answer:

Luden [163]3 years ago

7 0

Answer:

1/14

Step-by-step explanation:

Change the fractions to have a common denominator. The simplest choice for denominator is to just multiply the denominators, i.e., we want to go to /2 * /7 = /14.

So 1/2 = 7/14 and 3/7 = 6/14.

1 whole is 14/14.

14/14 - 7/14 - 6/14 = 1/14

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A small business assumes that the demand function for one of its new products can be modeled by p = Cekx. When p = $40, x = 1000

Maru [420]

Answer:

C= 82.1116

k=-0.0007192

Step-by-step explanation:

$p=Ce^{kx}\\40=Ce^{k1000}\\30=Ce^{k1400}\\$

Applying logarithmic properties yields in the following linear system:

$ln(40) = ln(C) + 1000k\\ln(30) = ln(C) + 1400k$

Solving for k:

$ln(40) = ln(C) + 1000k\\ln(30) = ln(C) + 1400k\\400 k = ln(30)-ln(40)\\k=-0.0007192$

Solving for C:

$40=Ce^{-0.0007192*1000}\\C= \frac{40}{e^{-0.0007192*1000}}\\C=82.1116$

C= 82.1116

k=-0.0007192

6 0

3 years ago

10y-12=4<br> Help??? Confused??? Trying to make this twenty letters long lol

ruslelena [56]

If you need to solve for y
10y-12=4
10y=12+4
10y=16
y=16/10=8/5=1 3/5 or 1.6

4 0

3 years ago

Read 2 more answers

A pumpkin is launched from the top of a 20 foot tall platform at an initial velocity of 84 feet per second. The height, h, of th

Gennadij [26K]

<h2>Explanation:</h2>

In this problem we have a pumpkin is launched from the top of a 20 foot tall platform at an initial velocity of 84 feet per second. So the height, h, of the pumpkin at time t seconds after the launch can be modeled by the equation:

$h(t) = -16t^2 + 84t + 20$

So this is the equation of a parabola. The maximum of this parabola occurs at its vertex. So let's find this vertex:

$\text{The x-value of the vertex is}: \\ \\ t=-\frac{b}{2a} \\ \\ \\ Where: \\ \\ a=-16 \\ \\ b=84 \\ \\ c=20 \\ \\ \\ t=-\frac{84}{2(-16)} \\ \\ t=-\frac{84}{-32} \\ \\ t=\frac{21}{8}=2.625 \\ \\ h(2.625)=-16(2.625)^2+84(2.625)+20 \\ \\ h(2.625)=-110.25+220.5+20 \\ \\ h(2.625)=130.25m$

Finally, the maximum occurs at time 2.625 seconds when the height is 130.25m

8 0

3 years ago

45.6/109.2 = x/115<br><br> Is x, 48.02?

MAXImum [283]

Yes correct x is 48.02 here is why.

simplify 45.6/109.2 to 0.417582

multiply both sides by 115

simplify 0.417582 x 115 to 48.021978

switch sides

Answer: x = 48.021978

4 0

3 years ago

Asthma is a condition in which it can be very hard for a person to breathe in enough air. Would it also be difficult for someone

Karolina [17]

Answer:

B, no, as long as the persons cells are getting different types of molecules from food he can still exercise.

Step-by-step explanation:

8 0

3 years ago