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irakobra [83]
3 years ago
9

A student charges twenty dollars per hour to type college papers. The student's average typing speed is fifty words per minute.

At this rate, how much should the student charge for typing a paper that contains 31,500 words?
Mathematics
1 answer:
vlada-n [284]3 years ago
7 0

Answer:

$210

Step-by-step explanation:

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Write and simplify the integral that gives the arc length of the following curve on the given interval b. If necessary, use tech
LiRa [457]

Answer:

L = 4.103

Step-by-step explanation:

we have length of curve

L = \int\limits^b_a {\sqrt{(f'(x))²+1} } \, dx

where f(x) = d/dx(3*in(x)) = 3/x

substituting for f(x), we have L = \int\limits^5_2 {\sqrt{(3/x)²+1} } \, dx

(since the limit is 2≤ x ≤5)

solving,  L = \int\limits^5_2 {\sqrt{9/x²+1} } \, dx

Simplifying this integral, we have

L = 4.10321

8 0
3 years ago
If the radius is 18 cm and the angle at centre of circle is 120° then the
PolarNik [594]

The area of a sector is 339.336 cm²

The area of a sector is defined to be as the region of space bounded by a boundary from the center of the circle.

It can be determined by using the formula:

\mathbf{A = \dfrac{\theta }{360}\times \pi r^2 }

Given that;

  • Radius r = 18 cm
  • Angle θ =  120°

Then. the area of the sector can be calculated as:

\mathbf{A = \dfrac{120}{360}\times \pi (18)^2 }

\mathbf{A = \dfrac{1}{3}\times 3.142 \times 324 }

A = 339.336 cm²

Learn more about the area of a sector here:

brainly.com/question/7512468?referrer=searchResults

4 0
2 years ago
Does the graph represent a function? <br> Yes Or No
Vesna [10]

Answer:

Yes.

Step-by-step explanation:

First, draw a vertical line. Then check the interception between the graph and a vertical line.

If the line intercepts the graph only one point, then it is a function. Otherwise, it is not. That includes two or more.

The graph shown in the picture is a function (Cubic Function).

3 0
3 years ago
Read 2 more answers
8 (p + 8 7 + 2q)<br><br> help me pleas!!!
77julia77 [94]

Answer:

8p +56 +16q

Step-by-step explanation:

8 (p+7+2q)

If we distribute the 8 into everything in the parenthesis, we get:

8p +56 +16q

5 0
3 years ago
Segment XY bisects angle WXZ and angle mZXY = 37 degrees. Find angle mWXY and angle mZXW
Vadim26 [7]

we know that

The angle bisector, is the line or line segment that divides the angle into two equal parts.

So

in this problem

m∠ZXW=m∠WXY+m∠ZXY

m∠WXY=m∠ZXY

Part a) <u>Find the value of m∠WXY</u>

m∠ZXY=37°-----> given value

so

m∠WXY=m∠ZXY=37°

therefore

<u>the answer part a)</u>

The measure of angle WXY is equal to 37°

Part b) <u>Find the value of m∠ZXW</u>

m∠ZXW=m∠WXY+m∠ZXY

m∠ZXW=37°+37°=74°

therefore

<u>the answer part b) is</u>

the measure of angle ZXW is 74 degrees

8 0
3 years ago
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