MATHEMATICS HIGH SCHOOL

Through:
(-4,2) and (-3,-3)

Answers

Answer 1
Answer:

Answer:

m=-5

Step-by-step explanation:

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Solve each equation by taking square roots -3x^2=-105
Jamal has a plan to save money for a trip. Today, Jamal deposits $10.00 into the savings account. Each week, Jamal will add $5.00 to the amount that is deposited into the savings account. The table below shows the relationship between the number of weeks and how much money, in dollars, Jamal deposits into the savings account.Let f(x)represent the amount of money Jamal deposits into his savings account at the end of x weeks. Based on the table, what is f(10)?
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A farmer harvested 35 arces of corn. Animals ate 1/8 of the corn he orginally planted. How many arces of corn did the farmer plant?

Answers

The farmer planted 39.37 acres of corn because 1/8 of 35 is 4.37, and if you add the amount he harvested to the amount the animals ate, you get 39.37 acres of corn originally planted.

e^(2x) = ln 5 (solve with explanation)

Answers

e ^(2x) = ln5

Solve for the real domain

e ^(2x) = ln(5)

if f(x) =g(x), then ln(f(x))= ln(g(x))

ln(e ^(2x) ) = ln(ln(5))

Solve : ln(e ^(2x) ) = ln(ln(5))

use the logarithmic definition :

ln(e^(f(x)) ) = f(x)

ln(e^(2x) ) = 2x

2x=ln(ln(5))

Divide both sides by 2 :

(2x)/(2) = (ln(ln(5)))/(2)

x= (ln(ln(5)))/(2)

hope this helps!

Find all the real square roots of 0.0064

Answers

√64 = 8

64÷1000 = 0.0064

8÷1000=0.0008

√0.0064 = 0.0008

James is painting a wooden slat fence he had installed around his backyard. The fence has a total of 180 wooden slats. Suppose James is able to paint 2 slats every 5 minutes. His friend Gabe offers to help him. Together, they finish painting the fence in 3 hours 20 minutes.At what rate did Gabe paint the fence?

Answers

Answer:

1 slat every 2 minutes.

Step-by-step explanation:

James is able to paint 2 slats every 5 minutes.

James and Gabe together are able to paint the whole fence (180 slats) in 3 hours and 20 minutes (200 minutes)

The rate of 180 slats in 200 minutes is equal to 18 slats in 20 minutes, and is equal to 9 slats in 10 minutes.

The rate of James is 2 slats in 5 minutes, which is equal to 4 slats in 10 minutes.

Subtracting the rate of James and Gabe together (9 slats in 10 minutes) by the rate of James alone (4 slats in 10 minutes), we have the rate of Gabe, which is 5 slats in 10 minutes, or 1 slat in 2 minutes.

Write down a number you can square to give an answer bigger than 400 but smaller than 500

Answers

If you would like to know a number you can square and the answer is bigger than 400 but smaller than 500, you can calculate this using the following step:

20^2 = 400 < 21^2 = 441 < 22^2 = 484 < 500

There are two correct results: 21 and 22.

Adam can shovel a driveway in two hours. Bev can shovel the same driveway in three hours. How long would it take them working together

Answers

Answer:

1.2 hours

Step-by-step explanation:

Given the following :

Time taken by Adam to shovel driveway = 2 hours

Time taken by BEV to shovel highway = 3 hours

How long will it take them working together

Hence Adam's rate of shoveling per hour :

Reciprocal of time taken = 1/2 per hour

BEV's rate will also be ;

1/ 3 per hour

If both work together ; that is combining the rate :

1/2 + 1/3 = (3 + 2) = 5/6

Combined rate = 5/6

Total fraction of shoveled area = 1:

Time taken = area / rate

= 1 ÷ (5/6)

= 1 × (6 / 5)

= 6/5

= 1 1/5 hours = 1.2 hours

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