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Alik [6]
3 years ago
10

Rewrite e^{x}= y into logarithmic form.

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
6 0

Answer:

x=\ln{y}

Step-by-step explanation:

The natural logarithm function is the inverse of the natural exponential function.  

\text{power}=\text{base}^{\text{exponent}}\\\\\text{exponent} \: =\: \log_\text{base}{\text{power}

are equivalent.

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What is the relationship between a scalene triangle and the location of its orthocenter? Explain.
Sladkaya [172]

D:

The orthocenter will be inside, on, or outside the scalene triangle, depending on whether it is acute, right, or obtuse, respectively. The number of congruent sides does not affect the location of the orthocenter.

5 0
3 years ago
Jayson’s car can go 300 miles on 12.5 gallons of gasoline. How far can he drive on 42 gallons of gas?
fomenos
300\ miles\ on\ 12,5\ gallons\\
x\ miles\ \ on\ \ \ 42\ gallons\\\\
Making\ proportion:\\
300-12,5\\
x-42\\\\
Cross\ multiplication\\
300*42=12,5x\\\\12600=12,5x\ \ \ | divide\ by\ 12,5\\\\
x=1008\\\\
He\ can\ drive\ 1008\ miles\ on\ 42 \ gallons\ of\ gas.
6 0
3 years ago
A 8-foot tall man is standing beside a 32-foot flagpole. The flagpole is
kipiarov [429]

Answer:

The flagpole's shadow is 16.875 feet longer than the man's shadow

Step-by-step explanation:

The total length of the shadow is expressed by taking its actual length by a factor that depends on the position of the sun which is constant for the man too. The expression is as follows;

Height of the shadow=actual height of the flagpole×factor

where;

length of the flagpole's shadow=22.5 feet

actual height of the flagpole=32 feet

factor=f

replacing;

22.5=32×f

32 f=22.5

f=22.5/32

f=0.703125

Using this factor in the expression below;

Length of man's shadow=actual height of man×factor

where;

length of man's shadow=m

actual height of man=8 feet

factor=0.703125

replacing;

length of man's shadow=8×0.703125=5.625 feet

Determine how much longer the flagpole's shadow is as follows;

flagpoles shadow-man's shadow=22.5-5.625=16.875 feet

The flagpole's shadow is 16.875 feet longer than the man's shadow

7 0
3 years ago
Sage and Tom started the month with the same number of talk minutes on their cell phones. Sage talked for 7 minutes with her dad
Paraphin [41]

Answer:

a. Sage and Tom have the same number of talk minutes left on their cell phone plans.

b. y = x - 7

Explanation:

Sage talked for 7 minutes with her dad.

Tom talked for 4 minutes with a friend and 3 more minutes with his mom which means he spoke for :

= 4 + 3

= 7 minutes

They both spoke for 7 minutes and therefore have the same amount of time left.

Algebraic expression:

Assuming the time Tom started with is denoted by x and the time he is left with is denoted by y.

The expression is:

y = x - 7

6 0
3 years ago
PLEASE HELP!! pic attached (30 points)
BaLLatris [955]

Answer:

Step-by-step explanation: the answer to all of them is b&:&3$,48x

And balls in ur jaws. Ur welcome

8 0
3 years ago
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