Answer:
Part A: 480 ounces of water are left in the water tank.
Part B: he will drink 3 tanks of water in 30 days.
Step-by-step explanation:
Part A:
5x8x16 = 6x16 = 1/2x8x16
=640 = 96 = 64
=480
Part B:
4x30 divided by (5x8) = 120 divided by 40 = 3
U=-2b+30
u+b=21
<span>in slope intercept form this is </span>
<span>u=-b+21 </span>
<span>The same thing for wheels is </span>
<span>2b+u=30 </span>
<span>or </span>
<span>u=-2b+30</span>
Answer:
This sampling method used in this question is the stratified sampling method.
Step-by-step explanation:
There are about 5 known sampling methods.
- Random Sampling
In random sampling, each member of the population has an equal chance of being surveyed. All the students are given a number and random numbers are generated to pick the students to be surveyed.
- Systematic sampling
This is easier than random sampling. In systematic sampling, a particular number, n, is counted repeatedly and each of the nth student is picked to be sampled.
- Convenience Sampling
This is the worst sampling technique. It is also the easiest. In Convenience sampling, the surveyor just surveys the first set of students that they find.
- Cluster sampling
Cluster Sampling divides the population into groups which are called clusters or blocks. The clusters are selected randomly, and every element in the selected clusters is surveyed.
- Stratified Sampling
Stratified sampling divides the population into groups called strata. A sample is taken from all or some of these strata using either random, systematic, or convenience sampling. This is evidently the answer to the question as the students are divided into homerooms (strata) and samples are now randomly taken from 3 randomly selected strata.
Hope this Helps!!!
The value of the composite function f(g(x)) is 2x^2 + 15
<h3>How to evaluate the composite function f(g(x))?</h3>
The functions are given as:
f(x) = 2x + 1
g(x) = x^2 + 7
We have the function f(x) to be
f(x) = 2x + 1
Substitute g(x) for x in the equation f(x) = 2x + 1
So, we have
f(g(x)) = 2g(x) + 1
Substitute g(x) = x^2 + 7 in the equation f(g(x)) = 2x + 1
f(g(x)) = 2(x^2 + 7) + 1
Open the brackets
f(g(x)) = 2x^2 + 14 + 1
Evaluate the sum
f(g(x)) = 2x^2 + 15
Hence, the value of the composite function f(g(x)) is 2x^2 + 15
Read more about composite function at
brainly.com/question/10687170
#SPJ1
<u>Complete question</u>
if f(x) = 2x + 1 and g(x) = x^2 + 7
which of the following is equal to f(g(x))
Answer:
90 cm
Step-by-step explanation:
Let the side of the square be S
Area of the square = S² = 64
So, S = √64 = 8 cm
Let L be the length of the rectangle and B be the breadth
We know B = S = 8
Area of rectangle = BL = 8L
Total area = Area of square + area of rectangle
Total area = 64 + 8L = 232 (given)
Subtracting 64 from both sides yields
8L = 232-64 = 168 or L = 168/8 = 21
Perimeter of square = 4S = 4 x 8 = 32
Perimeter of rectangle = 2(B + L) = 2(8 + 21) = 2 x 29 = 58
Total perimeter = 32 + 58 = 90 cm
