Answer: B (-2)
Step-by-step explanation:
[log base b of a = c] turns into [b^c = a]
You have log base 5 of 1/25 = ?, so it turns into 5^? = 1/25
This part is sort of guess and check, but we can look at it to find the answer pretty easily. First, it's 1/n, so we should use a negative power: 5^-1 = 1/5
In addition to being in the denominator, it's 25, which is 5^2.
So, if we want to put it in a reciprocal as well as square it, we can use -2:
5^(-2) = 1/(5^2) = 1/25
Since -2 (B) is the exponent we place on 5 to get 1/25, it is also the answer to log base 5 of 1/25.
75 mi. East, 70 mi. South, 110 mi.West.
Overall, she drove 110-75= 35 mi. West since east & west are opposite directions.
And 70 mi. South.
In a Pythagorean theorem problem, legs are 35 & 70. And hypotenuse is her diagonal distance from where she started
35^2 + 70^2 = c^2
1225 + 4900 = c^2
6125 = c^2
78.3=c
Answer:
x = - 6
Step-by-step explanation:
Given
= 3
Multiply both sides by 5 to clear the fraction
9 - x = 15 ( subtract 9 from both sides )
- x = 6 ( multiply both sides by - 1 )
x = - 6
Answer:
252
Step-by-step explanation:
6x42=252
Answer:
Step-by-step explanation:
A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, estimate the homework grade, to the nearest integer, for a student with a test grade of 31.
Homework Grade (x) Test Grade (y)
58 52
75 66
66 68
85 74
52 38
74 65
78 76
