The original number to the nearest tenth is 23.8
Given:
Consider the given equation is:

To find:
The missing exponent.
Solution:
Let x be the missing exponent. Then the given equation can be written as

It can be rewritten as:

![[\because a^ma^n=a^{m+n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5Ema%5En%3Da%5E%7Bm%2Bn%7D%5D)
On comparing the coefficient of m, we get



Therefore, the value of the missing exponent is 8. So, the complete equation is
.
0.625 is the answer to this
Answer:

Step-by-step explanation:
step 1
Find the slope of the perpendicular line
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal
(the product of their slopes is equal to -1)
In this problem
we have

The equation of the given line is 
so
the slope of the perpendicular line to the given line is

step 2
Find the equation of the line in point slope form

we have


substitute

Convert to slope intercept form

Distribute right side



Answer:
Given that:

where
L(t) represents the length of each day(in minutes) and t represents the number of days.
Substitute the value of L(t) = 750 minutes we get;

Subtract 728 from both sides we get;

Divide both sides by 52 we get;

or

Simplify:

or

Simplify:
days
Therefore, the first day after the spring equinox that the day length is 750 minutes, is 25 days