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2 years ago

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Mathematics

1 answer:

hodyreva [135]2 years ago

3 0

Answer:

If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. If they are inversely proportional, an increase in the value of one variable would cause a corresponding decrease in the other variable.

Looking at the given values, as x is increasing, y is also increasing. The constant of proportionality is

9/3 = 27/9 = 3

Therefore, the relationship is a direct variation and the function to model it is

y = 3x

Step-by-step explanation:

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What is the slope of (3, 3) and (-6, -3)

Veronika [31]

Answer:

m=2/3

Step by Step Explanation:

x1,y1= 3,-6

x2,y2=3,-3

m={-3-3} (Fraction Form)

{-6-3}

Refine:

m={2}{3}

7 0

2 years ago

Read 2 more answers

Please help with 11c!?

Contact [7]

Answer:

"To the nearest year, it would be about 9 years"

Step-by-step explanation:

11c)

This is compound growth problem. It goes by the formula:

$F=P(1+r)^t$

Where

F is the future amount

P is the present (initial) amount

r is the rate of growth, in decimal

t is the time in years

Given,

P = 20,000

r = 8% = 8/100 = 0.08

F = double of initial amount = 2 * 20,000 = 40,000

We need to find t:

$F=P(1+r)^t\\40,000=20,000(1+0.08)^t\\2=(1.08)^t$

To solve exponentials, we can take Natural Log (Ln) of both sides:

$2=(1.08)^t\\Ln(2)=Ln((1.08)^t)$

Using the rule shown below we can simplify and solve:

$Ln(a^b)=bLn(a)$

We can write:

$Ln(2)=Ln((1.08)^t)\\Ln(2)=tLn(1.08)\\t=\frac{Ln(2)}{Ln(1.08)}\\t=9.0064$

To the nearest year, that would be about 9 years

5 0

2 years ago

PLZ HELP!!!!!!!!!!!!!!

Vsevolod [243]

Answer:

Isn't that just soild liquid and gas atoms?

The image is showing how the atoms change depending on which state of matter it is, so if it is a soild the atoms would be really compacted as it moves slower, if it's a liquid then it's more looser than a soild, but more compacted than a gas, and a gas is just moving a lot and has a lot more space.

^^ That would be the answer if you on the states of matter or something like that unit.

6 0

2 years ago

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Assume you know that a hot-air balloon is currently inflated with a certain amount of air and that the amount is a percent of th

Gemiola [76]

Answer:

<u>Percent air is calculated as:</u>

Percent air = Current amount/Total amount *100

<u>Solve for total amount of air:</u>

Total amount = Current amount / Percent air * 100

Substitute the values in hand to get the answer

3 0

3 years ago

Select the two binomials that are factors of this trinomial x^20 - x - 20

Mashcka [7]

Answer:

$(x-5)(x+4)$

Step-by-step explanation:

To factor the equation, break it into two binomials which multiply to make the equation. To write these binomials (x+a)(x+b), find factors which multiply to -20 and add to -1 for a and b.

20: 1, 2, 4, 5, 10, 20

-5+4 = -1

$x^2-x-20 = (x-5)(x+4)$

8 0

3 years ago