Answer:
B) 89
Step-by-step explanation:
First, you set up the equation:
x = 1/2 (90 + 88)
(the 90 came from 45 x 2 because I needed the arc opposite of the arc with the measure of 88 degrees to set up the equation, and since Theorem 6-10 says: "The measure of an inscribed angle is equal to half the measure of its intercepted arc", that means that the 45 degree angle is half the measure of the arc that is opposite of the arc with the measure of 88 degrees.) <em>That sounds so confusing. I hope you understand! </em>
So then you add 90 and 88 to get 178. So:
x = 1/2 (178)
Finally, you multiply 1/2 and 178 together to get:
x = 89
<em>Hope this clears it up a bit! :)</em>
You need to get x by itself. So add 11 to both sides. Then you get 9x>4x+23. Subtract 4x from both sides. The new inequality you get is 5x>23. Then, divide each side by 5. You get x>4.6. The answer is x>4.6. Hope this helps! ;)
I am not too sure what the question is, but If she has a job that pays her $7.50/h she would have $2.50 extra to spend. That would be $20 of spending money she would make after a eight hour work day. Leaving her with a extra $40 she would deposit into her savings account after each day.
Answer:
Domain: all real numbers
Range: all real numbers
Step-by-step explanation:
I'm assuming you mean the function
. That's usually written
f(x) = x^(1/5) with the ^ meaning "to the power of..." and the fraction exponent in parentheses so as not to be confused with x^1/5 which could mean x to the first power, divided by 5.
Fractional exponents are used to indicate roots. In this case, x is being raised to the 1/5 power, so this is the fifth root of x, written
. The 5 is called the root index.
For odd roots, like this one, the domain is all real numbers--<em>x</em> can be any number at all. So the domain is all real numbers.
The range is also all real numbers. Attached is a graph of this function. It might not look like it, but the graph rises to the right to any height. The larger <em>x</em> gets, the larger the 5th root gets. A similar thing happens on the left--the smaller <em>x</em> gets, the smaller the 5th root gets.
EDIT: see the comment. For the function
, the domain is all real numbers. The range is positive real numbers. I'll attach a graph!
Step-by-step explanation:
(25)^(-0.25) / (25)^(0.25)
= (25)^(-0.5)
= (5)^(-1)
= 1/5 = 0.2.