Hello from MrBillDoesMath!
Answer:
x = 19
Discussion:
Both sides are logarithms to the same base, namely 20
, which implies the expressions in x (what we are taking logarithms of) must be equal. So we need to solve
4x - 10 = 3x + 9 => subtract 3x from both sides
4x-3x - 10 = 9 => add 10 to both sides
x = 9 + 10 = 19
Thank you,
MrB
Answer:
90. 04987916
Step-by-step explanation:
Let HI be a
and GH be c
and GI be b
and <GHI be B
Using the law of Cosines,
b^2= -2ac cos (B) + c^2 + a^2
= -2(42)(60) cos (123)+60^2+42^2
= -5040 cos (123) +3600+1764
= -5040(-0. 544639035) +5364
= 2744. 980736+5364
b^2= 8108. 980736
b= Sqrt ( 8108. 980736)
b= 90. 04987916
Answer: I gave the evaluate answer and the differentiate w.r.t x answer. Sorry for caps.
Step-by-step explanation: EVALUATE x4n−3
DIFFERENTIATE W.R.T. X (4n−3)x4(n−1)
Answer: 0.0336
Step-by-step explanation:
Given : The distribution of cholesterol levels in teenage boys is approximately normal with mean :
Standard deviation : 
The formula for z-score is given by :-
For x=225
The p-value =
The probability that a teenage boy has a cholesterol level greater than 225 =0.0336
Answer:
The answer rounded to the nearest percent is 19%.
Step-by-step explanation:
The formula for percent change is this:
((y2 - y1) / y1)*100
Let y1 be the first value (595) and let y2 be the second (708).
((702 - 595) / 595)*100
702 - 595 is 107 and 107/595 is approximately 0.188, multiplied by 100 is 18.8, which is rounded to 19%.
That is our solution.
<em>And that's an awfully small amount of rent to pay (at least in California).</em>
