Answer:
10,100,1000,-10,-100,-1000
Step-by-step explanation:
Answer:
11 13 15 17 19
Step-by-step explanation:
We will solve this word problem using 2k+1 which is one of the general forms of an odd integer.
Let 2k+1 be the first odd integer.
(2k+1) + (2k+3) + (2k +5) = (2k+7) + (2k +9) + 3 (the +3 is to accommodate for the left side being 3 more than the right)
Solve for k
6k + 9 = 4k + 19
6k - 4k + 9 = 4k-4k + 19
2k + 9 = 19
2k + 9 - 9 = 19 - 9
2k = 10
2k/2 = 10/2
k = 5
To get the first digit in the series plug in 5 for k
2k+1
2(5) + 1
10 + 1 = 11
So our series is 11, 13, 15, 17, 19
Let's test it.
11 + 13 +15 = 39
17 + 19 = 36
So we are correct, the first 3 integers are 3 more that the sum of the last 2.
Answer:
triangular prism = empty cylinder + empty cylinder.
Step-by-step explanation:
by replacing the two empty cylinders with a triangular prism, we balance the mobile.
Therefore option D is the answer.
<u>Answer:</u>
The correct answer option is x = -16 and x = 16.
<u>Step-by-step explanation:</u>
We are given the following equation and we are to find the solution for this equation:

For the given equation, involving the modulus, we will have a positive as well as a negative value for it in order to find its solution set.
and 
and
x = -16 and x = 16
Answer:
The light intensity at a depth of 24 feet is 3.0143 lumens.
The light intensity will be 7 lumenus at the depth of 9.3732 feet approximately.
Step-by-step explanation:
Consider the provided formula.

Where I is the intensity of light and x is the depth.
Part (A) Find the light intensity at a depth of 24 feet.
Substitute x=24 in above formula.





Hence, the light intensity at a depth of 24 feet is 3.0143 lumens.
Part (B) At what depth is the light intensity 7 lumens
Substitute I=7 in above formula.





Hence, the light intensity will be 7 lumenus at the depth of 9.3732 feet approximately.