2 years ago

Solve for X: 125^x = 25^(x+2)

Mathematics

1 answer:

creativ13 [48]2 years ago

4 0

X=4

5^3=125 5^2=25

5^3x= 5^2(x+2)
3x=2x+4
x=4

You might be interested in

Which Expression is equivalent to 48z +42q A) 6(8z+7q) B) 6*8z+7q C) 8z+7q

Butoxors [25]

Answer:

6(8z+7q)

Step-by-step explanation:

48z+42q

Factor out 6.

6(8z+7q)

5 0

2 years ago

A health food store has launched a new pack of vitamins for children. The store records the number of packs ordered by a random

Andrew [12]

Answer:

online customers: slot 5

Walk in customers: slot 3

Step-by-step explanation:

4 0

2 years ago

Choose the solutions to the two equation system. 6.0 + 3y = 30 15+ y = 7

zloy xaker [14]

Answer:

y= -8 or 8

Step-by-step explanation

30-6= 24

24/3=8

y=8

15+y=7

y=-8

3 0

2 years ago

when a stone falls freely, the time taken to hit the ground varies as the square root of the distance fallen. If it takes four s

Eva8 [605]

Answer:

The stone would take approximately 10.107 seconds to fall 500 meters.

Step-by-step explanation:

According to the statement of the problem, the following relationship of direct proportionality is built:

$t \propto y^{1/2}$

$t = k\cdot t^{1/2}$

Where:

$t$ - Time spent by the stone, measured in seconds.

$y$ - Height change experimented by the stone, measured in meters.

$k$ - Proportionality constant, measured in $\frac{s}{m^{1/2}}$ .

First, the proportionality constant is determined by clearing the respective variable and replacing all known variables:

$k = \frac{t}{y^{1/2}}$

If $t = 4\,s$ and $y=78.4\,m$ , then:

$k = \frac{4\,s}{(78.4\,m)^{1/2}}$

$k \approx 0.452\,\frac{s}{m^{1/2}}$

Then, the expression is $t = 0.452\cdot y^{1/2}$ . Finally, if $y = 500\,m$ , then the time is:

$t = 0.452\cdot (500\,m)^{1/2}$

$t \approx 10.107\,s$

The stone would take approximately 10.107 seconds to fall 500 meters.

4 0

2 years ago

The amount of Jen’s monthly phone bill is normally distributed with a mean of $75 and a standard deviation of $8. What percentag

nikklg [1K]

Answer:a is the answer

8 0

2 years ago