MATHEMATICS HIGH SCHOOL

Is the following correspondence a function? 
Yes or No?
Is the following correspondence a function? Yes or No? - 1

Answers

Answer 1
Answer: No, because -15 have 2 corresponding elements .

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Abigail was skateboarding home when the wheel axle of her skateboard broke. She had already traveled two thirds of the way home and had to walk the rest of the way. Walking the rest of the way home took her twice as long as it took her to ride her skateboard. How many times faster is Abigail on her skateboard than she is walking?

Answers

Answer:

The number of times faster Abigail is on her skateboard than she is walking is 4 times

Step-by-step explanation:

The information given are;

Abigail was skateboarding home (let the distance home = D)

The distance Abigail had traveled when her skateboard broke = 2/3 of D

The distance of the rest (remaining) of the way home = 1 - 2/3 of D = 1/3 of D

The time Abigail took in walking the rest of the way home = 2 × t, Time it will take on the skateboard

Given that t is the time it takes Abigail to arrive home on skateboard alone, we have;

Speed = (Distnce)/(Time)

Speed on skate board, S_t = Distance/Time = D/t

Therefore, the time it took Abigail to travel two thirds (2/3) of D is given as follows;

Time= (Distnce \ covered)/(Speed ) = ((2)/(3) D)/(S_t) = ((2)/(3) D)/((D)/(t) ) = (2)/(3) D * (t)/(D) = (2)/(3) t

The total time it took Abigail to get to her home = Time of walking + Time on skateboard

The question also states that he total time it took Abigail to get to her home by walking and skateboarding because her skateboard broke = 2×t

Therefore, the total time it took Abigail to get to her home = 2×t = Time of walking + Time on skateboard = Time of walking + (2)/(3) t

Which gives;

2×t = Time of walking + (2)/(3) t

Time of walking = 2 * t -(2)/(3) t = (4)/(3) t

∴ The time Abigail walked 1/3·D = (4)/(3) t

Abigail walking speed is then

Walking \ speed= (Distnce \ covered \ walking)/(Time \walking) = ((1)/(3) D)/((4)/(3) t) = ((D)/(3) )/((4 \cdot t)/(3) ) = (D)/(3) } * {(3)/(4 \cdot t) } = (D)/(4 \cdot t) }

To compare how many times faster is Abigail on her skateboard than she is walking, we divide the expression (formula) for the speed of skateboarding with the (formula) for the speed of walking as follows;

The \ number \ of \ times \ faster = ((D)/(t) )/((D)/(4 \cdot t) )} = (D)/(t) * (4 \cdot t)/(D) } = 4

The number of times faster is 4 that is Abigail is four times faster on her skateboard than she is walking.

Mary puts 200 fish into a pond. If the fish are guaranteed to increase at an annual rate of 14%, how many fish will be in the pond in 5 years?

Answers

Answer:

340

Step-by-step explanation: 200 * .14 = 28 then 28*5= 140 then 140+200=340

Answer:

340 in 5 years

Step-by-step explanation:

I set it up as a fraction so I could find 14% of 200.

14/100 = x/200

Then  I cross multiplied

100x = 2800

Simplify

x=28

Twenty-eight is 14% of 200. Multiply 28 by 5.

28 x 5 =   140

Add 140 to 200

340

Jerome recently moved to a new city and bought a home. The assessment rate is 51%. The property tax rate is $53.26 per $1000. What is the effective tax rate? Show all work.

Answers

Given:
assessment rate = 51%
tax rate = 53.26 per 1,000

53.26 / 1000 = 0.05326
0.05326 x 100% = 5.326%

Effective tax rate = assessment rate * tax rate
ETR = 51% * 5.326%
ETR = 2.72%

Evaluate x-(-11) for x = 14.

Answers

Step-by-step explanation:

x-(-11)

= x+11

= 14+11

= 25
The answer for this question is 25

Round 0.428 to the nearest tenth

Answers

Answer:

.400

Step-by-step explanation:

What is the area of a sheet of binder paper? (Binder paper is 8 inches by 11 inches.)

Answers

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