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Sphinxa [80]
3 years ago
6

Please answer this correctly without making mistakes

Mathematics
1 answer:
tankabanditka [31]3 years ago
8 0

Answer:

263.76

Step-by-step explanation:

Assuming the shaded area is the yellow area all we must do is find the area of the small circle and subtract it from the larger circle.

To do this we can use the area of a circle equation:

A=\pi r^2

first we need to find the radius of the large circle which is simply 4+6= 10

so the area would be:

A=\pi 10^2\\A=100\pi

then we find the area of the small circle is

A=4^2\pi \\A=16 pi

next we evaluate:

100\pi -16\pi =84\pi

Then replace pi with 3.14:

84 · 3.14 = 263.76

And you have your answer!

Hope this helps!

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Need help with courseReplace 250 with 575 and -3 with -5.
Svetlanka [38]

Given

The demand function

p(x)=\frac{250}{\sqrt{x}}-5

To determine:

a) The revenue function.

b) The marginal revenue.

c) The marginal revenue when x=200.

d) The equation of tangent, and its derivation.

Explanation:

It is given that,

p(x)=\frac{250}{\sqrt{x}}-5

a) The revenue function is given by,

\begin{gathered} R(x)=x\cdot p(x) \\ R(x)=x\times(\frac{250}{\sqrt{x}}-5) \\ R(x)=250\sqrt{x}-5x \end{gathered}

b) The marginal revenue function is,

\begin{gathered} R^{\prime}(x)=\frac{d}{dx}(R(x)) \\ =\frac{d}{dx}(250\sqrt{x}-5x) \\ =250\times(\frac{1}{2}\times x^{-\frac{1}{2}})-5 \\ =\frac{125}{\sqrt{x}}-5 \end{gathered}

c) The marginal revenue when x=200 is,

\begin{gathered} R^{\prime}(200)=\frac{125}{\sqrt{200}}-5 \\ =\frac{125}{10\sqrt{2}}-5 \\ =8.8388-5 \\ =3.8388 \\ =3.84 \end{gathered}

Hence, the marginal revenue is 3.84.

d) Let y=mx+c is the tangent.

Then,

y=3.84x+c

That implies, for y=12.68, and x=200,

\begin{gathered} 12.68=3.84\times200+c \\ 12.68=768+c \\ c=12.68-768 \\ c=-755.32 \end{gathered}

Hence, the equation of tangent is,

y=3.84x-755.32

8 0
1 year ago
Mr. Shipley is in charge of a school trip. 317 students will go on the trip. Thhe school had seven buses and one van. If the van
sergey [27]

Answer:

<u>44 </u>students will ride on each bus.

Step-by-step explanation:

Given:

Mr. Shipley is in charge of a school trip.

317 students will go on the trip.

The school had seven buses and one van.

If the van can haul nine students.

Now, to find the number of students who will ride on each bus.

Total students who will go on trip = 317.

So, we deduct the nine students of van from total students.

317-9=308.

Thus, there are 308 students remaining for riding on the seven buses.

Now, to get the number of students that will be riding on each bus we divide 308 remaining students by number of buses:

308\div 7

=44.

Therefore, 44 students will ride on each bus.

6 0
3 years ago
A fair coin is tossed 3 times in a row. What is the probability that heads appears on only the last toss? A. `1/8` B. `3/8` C. `
expeople1 [14]

Answer:

P(heads appears on only the last toss) = \frac{1}{8}

Step-by-step explanation:

A fair coin is tossed 3 times in a row.

When a coin is tossed we get a tail or head T or H

The possible outcomes of 3 coins are

T T T , H H H , T H H, H T H, H H T, H T T , T H T, T T H

So total of 8 possible outcomes

heads appears on only the last toss , first and second toss should be tail

So its T T H. Only one possibility

Probability(any event)  = number of outcomes / total outcomes

P(heads appears on only the last toss) = \frac{1}{8}





6 0
3 years ago
A standard showerhead dispenses 50 gallons of water in 20 minutes. At this rate, how many gallons of water will a standard showe
liq [111]

Answer:

= 12.5 gallons

Step-by-step explanation:

50 gallons per 20 mins

50/20=5/2

5/2 per minute so 5 mins is

5/2 x 5 = 25/2

=12.5 gallons

3 0
3 years ago
Read 2 more answers
Tickets to the concert were 2.50 for adults and 1.00 for students. 1,200 was collected and 750 tickets were sold.
Minchanka [31]

Answer:

I'm assuming you want to know the amount of child and adult tickets sold. 450 student tickets were sol, and 300 adult tickets.

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

3 0
3 years ago
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