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3 years ago

Which equation is equivalent to

Mathematics

1 answer:

RSB [31]3 years ago

7 0

Answer:

Step-by-step explanation:

(1/3)^x=27^(x+2)

3^(-x)=3^(3(x+2))

3^(-x)=3^(3x+6)

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What is the constant of proportionality in the equation y = 2x?

kow [346]

Answer: 2 because of the constant proportionality

Step-by-step explanation: hope this helps!

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3 years ago

For the right triangle shown, the lengths of two sides are given. find the third side. leave your answer in simplified, radical

Citrus2011 [14]

There is no diagram

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3 years ago

A couple needs $55,000 as a down payment for a home. If they invest the $40,000 they have at 4% compounded quarterly, how long w

slava [35]

Answer:

8 years

Step-by-step explanation:

Compound interest formula

$A(t)= A_0(1+\frac{r}{n})^{nt}$

A(t) is the final amount 55000

A_0= 40000, r= 4% = 0.04, for quarterly n=4

$55000=40000(1+\frac{0.04}{4})^{4t}$

divide both sides by 40000

$1375=(1+\frac{0.04}{4})^{4t}$

$1375=(1.01)^{4t}$

Take ln on both sides

$ln(1375)=4tln(1.01)$

divide both sides by ln(1.01)

$\frac{ln 1375}{ln 1.01}=4t$

Divide both sides by 4

t=8.00108

So it takes 8 years

8 0

3 years ago

Farmer Brown is prepping his circular garden for the new spring/summer season of vegetables. The garden has to be larger than 25

d1i1m1o1n [39]

Answer:

The area is 78.5, the farmer does have enough space to plant his vegetables

Step-by-step explanation:

To find the area, you need to use the formula, A=πr², (make sure the diameter is turned into the radius by dividing by 2, in this case, it's 5 as the radius)

Plug in your numbers, A= 3.14(5)²

A= 3.14(25)

The area is 78.5

So the farmer does have enough space to plant his vegetables since 78.5 is greater than 25

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3 years ago

Look at attachment down below. If can’t see let me know

Vesnalui [34]

Answer:

C and E

Step-by-step explanation:

C and E are the correct answer

4 0

3 years ago