On a map of the united states , 24 centimeters represent 18 miles .how many centimeters reprsent one mile. How long is the line segment between A and B in centimeters? If A and B represent 2 cities what is the actual distance between the two cities

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Answer 1

Answer: 1.33 equals one mile and 24 centimeters. Also 18 miles is the actual distance. I hope this helped but i was a little confused but i am pretty sure the answers are right

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Solve C = 2mr for r could not make the correct sign for m

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Answer:

C = 2mr =

Step-by-step explanation:

Not sure if it's correct.

Solve for x. x+23≤45 Enter your answer, as an inequality, in the box.

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Answer:

$x\leq 22$

Step-by-step explanation:

In the attachment!

If y(x)=1/3cos^34x,then dy/dx is

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Answer:

$(dy)/(dx)=-4\cos^(2) 4x \sin4x$

Step-by-step explanation:

We have $y=f(x)=(1)/(3) \cos^(3) 4x$ and we have to find $(dy)/(dx)$

Now, $y=f(x)=(1)/(3) \cos^(3) 4x$

Differentiating both sides of the equation with respect to x we get,

$(dy)/(dx) = (1)/(3) * 3 * \cos^(2) 4x * (-\sin4x) * 4$ {Since we know the formula $(dx^(n) )/(dx) =nx^(n-1)$ and another formula $(d(\cos x))/(dx) = -\sin x$ }

⇒ $(dy)/(dx)=-4\cos^(2) 4x \sin4x$ ( Answer )

A ski shop has a markup rate of 50%. find the selling price of skis that cost the storeowner $300

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So if the store owner Bought the skis for 300 dollars we need to find the original price of the skis before they were marked up 50%. So we need to divide this by three. 300÷3=100 so we have 3 100s now we know that 50% of 200 is 100 so the original price would be $200 Hope this helps!!!

"You and your friend leave your houses at the same time to meet at a restaurant. The distance (in miles) your friend is from the restaurant is given by y=−40x+200, where x is the number of hours since your friend left home. You live 100 miles from the restaurant and arrive at the same time as your friend. Write a linear equation that represents your distance from the restaurant."

Answers

The equation will be:

$y=-20x+100$

Why?

Let's work with your friend equation in order to find the time from his house to the restaurant (is the same as yours).

We are given the following function:

$y=-40x+200$

When: $y=0$ our friend arrived, so, calculating "x", we have:

$0=-40x+200\n\n40x=200\n\nx=(200)/(40)=5h$

We have that it took 5 hours for our friend to arrive at the restaurant, and it's the same time for you. We know that you live 100 miles from the restaurant.

Your equation will have the following form:

$y=-k*x+distance$