58 does not have a decimal place therefore it would be 58
Let's call f(x) = 2x - 4 and g(x) = 3⁻ˣ + 1.
<span>First, you need to evaluate each function at the given values of x.</span>
f(1) = 2(1) - 4 = -2
f(3.25) = 2(3.25) - 4 = 2.50
f(2.5) = 2(2.5) - 4 = 1
f(2) = 2(2) - 4 = 0
Similarly:
g(1) = <span>3⁻¹ + 1 = 1.33
g(3.25) = </span><span>3⁻³'²⁵ + 1 = 1.03
g(2.5) = </span>3⁻²'⁵ + 1 = 1.06
g(2) = 3⁻² + 1 = 1.11
Now, look for the value of x for which f(x) ≈ g(x): this happens for x = 2.5
Therefore the correct answer is c) x ≈ 2.5
A = a^2.....where " a " is the length of one side
A = 79
79 = a^2...take sqrt of both sides, eliminating the ^2
sqrt 79 = a
8.89 = a
so the length of one side is approximately 8.89 ft <==
Answer: 1.460
Step-by-step explanation:
Given : Researchers report that on average freshman who live on campus gain 15 pounds during their first year in college.
Let 
represents the population mean .
Then, the set of hypothesis will be:-
We assume that this is normal distribution.
Sample size : n = 10, which is a small sample (n<30) ,s o we use t-test.
Sample mean : 
Standard deviation : 
The test statistic for population mean for small sample is given by :-
Hence , the value of test statistic = 1.460
