MATHEMATICS HIGH SCHOOL

A car is driven 60 mph for 3 hours, 35 mph for the next 2 hours, and 50 mph
for the 4 hours after that. Which function best represents the distance the car traveled?

Answers

Answer 1
Answer: distance in 2 hrs 
35 mph * 2 hours

distance in 4 hrs
50 mph * 4 hours

total distance
(35*2) + (50*4)

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A sailboat has a mast that holds a triangular sail.The sail has a base of twelve meters and a height of nine meters. The cost of the sail is $15 per square meter. What will it cost to make the sail?
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What is the product of 4 – 11i and 6 2i??

Answers

The product of 4-11i and 6 2i is 10 - 9 i

What is f(–3) for the function f(a) = –2a2 – 5a + 4?.

Answers

The answer is 1. f(a) = –2a^2 – 5a + 4. If a = -3, then to find f(-3) we have to substitute a in the general formula. f(a) = –2a^2 – 5a + 4 = -2 * a^2 – 5 * a + 4. Substitute a with -3. f(-3) = –2 * (-3)^2 – 5 * (-3) + 4 = -2 * 9 - (-15) + 4 = -18 + 15 + 4 = 1

The current I in an electrical conductor varies inversely as the resistance R of the conductor. The current is 2 amperes when the resistance is 770 ohms. What is the current when the resistance is 808 ohms? Round your answer to two decimal places if necessary.

Answers

Answer: The value of the current is 1.91 A.

Step-by-step explanation:

From the question, the current I in an electrical conductor varies inversely as the resistance R of the conductor.

The equation can be written as,

I=(K)/(R)

Here, K is the proportionality constant and R is the resistance.

It is given in the problem that the current is 2 amperes when the resistance is 770 ohms.

Calculate the value of K by using above expression.

Put I= 2 A and R= 770 ohm.

2=(K)/(770)

K=1540

Calculate the value of the resistance when R= 808 ohms.

I=(K)/(R)

Put K= 1540 and R= 808 ohms.

I=(1540)/(808)

I=1.91 A

Therefore, the value of the current is 1.91 A.
1.9 amps hope it helps.

A restaurant bill is $20. Find the 15% tip.

Answers

Answer:

You want to leave a 15% tip on a meal that cost $20. 0.15 x $20.00=$3.00. So, the amount of tip you are going to leave is $3.00.

Step-by-step explanation:

Answer $3.00

Step-by-step explanation:

Sam needs to cut a piece of sheet metal into 8 pieces. It takes him 5 minutes to make each cut. How many cuts will Sam Make? Can you please explain i got 8 cuts as my answer

Answers

If we assume Sam would achieve his aim of cutting the metal into 8 pieces.

Then he will make 8 cuts. It takes him 5 minutes to make each cut. This is how long it takes to make the cut. This only tells us that he will take a total of 8*5 = 40 minutes, to make all the cuts.
 
Sam will make 8 cuts as stated in the question.

The area of triangle B is 25 times greater than the area of triangle A.The perimeter of triangle B is how many times greater than the perimeter of triangle A?

Answers

The ratio of areas is the square of the ratio of perimeters;
The area of triangle B / The area of triangle A = 25 ;
The perimeter of triangle B / The perimeter of triangle A = √(25) = 5 ;
The perimeter of triangle B is 5many times greater than the perimeter oftriangle A!
The perimeter of triangle B is 5 times greater than that of A.
The ratio of areas in this example is 1:25.
The ratio of areas is the square of the ratio of perimeters.
\sqrt1 : √(25) =1 : 5
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