MATHEMATICS COLLEGE

You and a friend both leave the same restaurant to drive home. You are heading directly west at 30 miles per hour and he or she is heading directly south at 40 miles per hour. After half an hour, how fast (in mph) is the distance between you changing? Do not include units in your answer.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

The distance between the friends is changing at the constant rate of 50 mph.

___

The equation for the distance in the westerly direction is ...

w = 30t . . . . . miles, where t is time in hours

The equation for the distance in the southerly direction is ...

s = 40t . . . . . miles, where t is time in hours

Then the total distance between the friends is ...

d = √((30t)² + (40t)²) = √(2500t²) = 50t . . . . miles, where t is time in hours

And the rate of change of distance is the derivative of this with respect to t:

dd/dt = 50 . . . . . . miles per hour

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I need help on this please.Ivanna is staining the wooden floor of a court. The court is in the shape of a rectangle. Its length is 51 feet and its width is 32 feet. Suppose each can of wood stain covers 102 square feet. How many cans will she need to cover the court?

Answers

Answer: 16 cans

Step-by-step explanation:

51x32=1632sqft

1632/102=16 cans of wood stain

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Answers

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Henderson opened a coffee shop. He insured his store against fire for $150,000. What’s his premium if the rate per $100 is $0.79

Answers

Henderson premium for his coffee shop is $1185

Given in the question:

Henderson opened a coffee shop. He insured his store against fire for $150,000.

and, the rate of his premium per $100 is $0.79.

Now, According to the question:

Divide the value of the coffee shop by $100

= $150,000 / $100 = $1500

Multiply the quotient by the rate per $100

= $1500 x $.79 = $1185.

Hence, Henderson premium for his coffee shop is $1185.

Learn more about Premium Rate at:

brainly.com/question/14783619

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Determine whether the lines are parallel, perpendicular, or neither. Justify your answer. y = 2x - 8Y = 1/2x + 6
⚠️if you answer correctly I will give you brainliest

Answers

Answer:

perpendicular

Step-by-step explanation:

it is perpendicular because you flipped and negative the slope. if it was parallel the slope would be the same with no negative

which of the following could be the first step in solving the equation below?5^x=21a. 1/5×5^x=1/5×21b. log5^x=log21c. log5^x=21d. sqrt[5]{ {5}^{x} } = sqrt[5]{21}

Answers

ANSWER

$\log _{}5^x\text{ = log21}$

EXPLANATION

We want to find the very first step in solving the problem below:

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If we wanted to jump steps, we could just state that the equation would become:

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But that would be jumping a lot of steps and it is not among the options.

So, the very first step in solving this problem is to find the logarithm of both sides.

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Answers

The equation of the line:

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The point-slope form of the equation of the line:

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