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patriot [66]
3 years ago
5

Solve for X, 3^x + 3^2 = 90​

Mathematics
1 answer:
polet [3.4K]3 years ago
8 0

3^x + 3^2 = 90

Simplify the known power:

3^x + 9 = 90

Subtract 9 from both sides:

3^x = 81

Take the cubic root of both sides:

X = 4

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Arianna runs up 4 flights of stairs then runs down 4 flights of stairs. Does this situation represent additive inverses
dexar [7]

Answer:

Yes because she ends up back at zero

8 0
3 years ago
Is this equation a true statement when x = 6?<br>-2 + 11 - 5x = 5 -6x​
iris [78.8K]

Answer:

False

Step-by-step explanation:

Since we already know the value of x lets plug it in and multiply it

-2+11-5(6)=5-6(6)

-2+11-30=5-36

Now lets put them together

9-30=5-36

-21 = -31

Making x=6 false

3 0
3 years ago
) A watershed experiences a rainfall of 8 inches. What is the runoff volume when the curve number is 80
finlep [7]

Answer:

5.625 inches

Step-by-step explanation:

Given that:

Total Rainfall in inches (P) = 8 inches

The runoff volume (in inches) Q = ???

The curve number CN = 80

Recall that: The runoff volume can be calculated by using the formula:

Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}    for P > 0.2S

Q = 0                     for P < 0.2S

S = \dfrac{1000}{CN}-10

where:

curve number CN = 80

S = \dfrac{1000}{80}-10

S = 2.5 inches

Since the rainfall (P) is greater than 0.25

Then:

Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}  

Q = \dfrac{(8-0.2(2.5))^2}{(8+0.8(2.5))}

Q = \dfrac{(8-0.5)^2}{(8+2)}

Q = \dfrac{(7.5)^2}{(10)}

Q = \dfrac{(56.25)}{(10)}

Q = 5.625 inches

Thus, the runoff volume = 5.625 inches

4 0
3 years ago
Gloria deposited $500 into a bank account that earned 7.5% simple interest each year. She earned $225 in interest before closing
pav-90 [236]
T = 6 years

Equation:
t = (1/r)(A/P - 1)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 7.5%/100 = 0.075 per year,
then, solving our equation

t = (1/0.075)((725/500) - 1) = 6
t = 6 years

The time required to get
a total amount, principal plus interest, of $ 725.00
from simple interest on a principal of $ 500.00
at an interest rate of 7.5% per year
is 6 years.
5 0
4 years ago
50 is 20% of what number
Tresset [83]
20% of a number is 1/5th of it so 50 × 5 is 250
6 0
3 years ago
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