Answer: Yes that's correct
Work Shown:
(-1)^2-(-2-(9-1))
1-(-2-(8))
1-(-2-8)
1-(-10)
1 + 10
11
Note that (-1)^2 = (-1)*(-1) = 1, and subtracting a negative turns into a positive.
Remember PEMDAS - Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction - this is the order of operations. First, you must distribute 5(x+2), that would be 5x+10. Then rewrite: -3x+5x+10. Finally, simplify.
Simplified: 2x+10
This is your answer
Not sure how the other person got 2x+2...
Hope that helps!
Answer:
He did the equation backward. He did 
, which is wrong.
The actual equation for average rate of change is:
The estimate would be 1200.
We will set up a proportion for this. 10 out of 60 of the sample were tagged, so that is the first ratio. The 200 that were tagged would be in the numerator of the second ratio (10 was the portion tagged, and 200 is the portion tagged, so they both go on top). We do not know the total number so we use a variable:
10/60 = x/200
Cross multiply:
10*x = 60*200
10x = 12000
Divide both sides by 10:
10x/10 = 12000/10
x = 1200
Answer:
√5.
Step-by-step explanation:
Tan A = 1/2 means that the right triangle containing angle A has legs of length 1 and 2 units. So the hypotenuse = √(1^2 + 2^2) = √5 (using the Pythagoras theorem). The side opposite to < A = 1 unit and the adjacent side = 2 (as tan = opposite / adjacent).
so cos A = adjacent / hypotenuse = 2/√5.
and sin A = opposite / hypotenuse = 1 / √5
cos A / sin A = 2/√5 / 1/ √5 = 2.
sin A / (1 + cos A) = 1/√5 (1 + 2/ √5)
= 1 / √5 ( (√5 + 2) /√5)
= 1 / (√5 + 2)
So the answer is:
2 + 1 /(√5 + 2).
We can simplify it further by multiplying top and bottom of the fraction by the complement of √5 + 2 which is √5 - 2.
2 + 1 / (√5 + 2)
= 2(√5 + 2) + 1 / (√5 + 2 )
= { 2(√5 + 2) + 1 } / (√5 + 2)
Multiplying this by √5 - 2 / √5 - 2 we get:
(2(5 - 4) + √5 - 2) / (5 -4)
= 2 + √5 - 2 / 1
= √5.
