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3 years ago

4,000,000,000,000 in scientific notation

Mathematics

1 answer:

Tems11 [23]3 years ago

3 0

4 x 10^12 is 4000000000000 in scientific notation. The decimal needed to move 12 places to the left.

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Quadrilateral OPQR is inscribed in circle N, as shown below. What is the measure of ∠ROP?

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The answer is 41, because I just took the quiz and that was the correct answer :)

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A plane descends 27,500 feet to the ground. If the plane descends at a rate of 275 feet per minute, how long will it take the pl

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Answer:

Just take the two zeros to 100

Step-by-step explanation:

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3 years ago

QUESTION 3 [10 MARKS] A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the nu

Harman [31]

Answer:

(a)Revenue function, $R(x)=580x-x^2$

Marginal Revenue function, R'(x)=580-2x

(b)Fixed cost =900 .

Marginal Cost Function=300+50x

(c)Profit, $P(x)=-35x^2+280x-900$

(d)x=4

Step-by-step explanation:

Part A

Price Function $= 580 - 10x$

The revenue function

$R(x)=x\cdot (580-10x)\\R(x)=580x-x^2$

The marginal revenue function

$\dfrac{dR}{dx}= \dfrac{d}{dx}(R(x))=\dfrac{d}{dx}(580x-x^2)=580-2x\\R'(x)=580-2x$

Part B

(Fixed Cost)

The total cost function of the company is given by $c=(30+5x)^2$

We expand the expression

$(30+5x)^2=(30+5x)(30+5x)=900+300x+25x^2$

Therefore, the fixed cost is 900 .

Marginal Cost Function

If $c=900+300x+25x^2$

Marginal Cost Function, $\frac{dc}{dx}= (900+300x+25x^2)'=300+50x$

Part C

Profit Function

Profit=Revenue -Total cost

$580x-10x^2-(900+300x+25x^2)\\580x-10x^2-900-300x-25x^2\\$Profit,P(x)=-35x^2+280x-900$

Part D

To maximize profit, we find the derivative of the profit function, equate it to zero and solve for x.

$P(x)=-35x^2+280x-900\\P'(x)=-70x+280\\-70x+280=0\\-70x=-280\\$Divide both sides by -70\\x=4$

The number of cakes that maximizes profit is 4.

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3 years ago

How to graph y=55x+100

WINSTONCH [101]

100 is the y intercept so its graohed at (0,100)(y-axis) and it goes up every 1/55

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3 years ago

Jake set up a study schedule. The plan called for him to study 1/4 hour, 5/8 hour and 1 hour on Monday Tuesday and Wednesday in

Ludmilka [50]

Each day his study time is increasing. Find a common denominator, in this case 8

1/4 = 2/8
5/8 = 5/8
1 = 8/8

So he went from

2/8 to 5/8 to 8/8 which is an increase of 3/8 each day. If this pattern continues Thursday would be 11/8 and Friday 14/8.

14/8 = 1 6/8 = 1 3/4 hours

(an hour and 45 minutes)

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