Answer:
Step-by-step explanation:
i do not know
9514 1404 393
Answer:
(a) x = (3 -ln(3))/5 ≈ 0.819722457734
(b) y = 10
Step-by-step explanation:
(a) Taking the natural log of both sides, we have ...
2x +1 = ln(3) +4 -3x
5x = ln(3) +3 . . . . . . . . add 3x-1
x = (ln(3) +3)/5 ≈ 0.820
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(b) Assuming "lg" means "log", the logarithm to base 10, we have ...
log(y -6) +log(y +15) = 2
(y -6)(y +15) = 100 . . . . . . . taking antilogs
y^2 -9x -190 = 0 . . . . . . . . eliminate parentheses, subtract 100
(y -19)(y +10) = 0 . . . . . . . . factor
The values of y that make these factors zero are -19 and 10. We know from the first term that (y-6) > 0, so y > 6. That means y = -19 is an extraneous solution.
The solution is ...
y = 10
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When solving equations using a graphing calculator, it often works well to define a function f(x) such that the solution is f(x) = 0, the x-intercept(s). That form is easily obtained by subtracting the right side of the equation from both sides of the equation. In part (a) here, that is ...
f(x) = e^(2x+1) -3e^(4-3x)
If the width is 5 feet you have to do 16 - 5 which equals 11 meaning 11 is your answer (the Length)
hope this helps
:)
Answer:
It's B, 62.
First, you identify the median, (30,) and use this to identify the first and third quartiles. 2-18 are the first ranges, and 42-81 are the third.
You would need to split the ranges between the first quartile (9) and the third quartile (71).
The interquartile range is the difference between the first and third ranges, making it 62.
Answer:
Step-by-step explanation:
There are 2 answers.
He could go further negative which means -153 - 512 = - 665
He could go towards the plus direction which is -153 + 512 = 359 which is plus.