Answer:
2.8
Step-by-step explanation:
Do 0.4 x 3.5 first, that gives you 1.4, then divide that by 0.5, which is 2.8.
Answer:
The 12 students can be lined up in 12! ways.
Put in dividers after every fourth student.
For example:
Given ABCDEFGHIJKL, we would put in dividers to get ABCD|EFGH|IJKL.
We have overcounted, though, in two different ways. Let's examine the resulting problems.
One problem is with regard to the three separate groupings appearing multiple times. In the example above, we would be counting EFGH|ABCD|IJKL a second time. Since there are three groups, we need to divide by 3! to avoid this sort of overcounting.
The second problem is that, within each of the three groups, we have four people who are going to appear multiple times. In the example above, we would be counting CDAB|EFGH|IJKL a second time. For each of the groupings, we need to divide by 4! to avoid this sort of overcounting. This means dividing by 4!4!4! to amelioriate the second issue.
Then our answer becomes:
12!3!4!4!4!=5,775
Step-by-step explanation:
hope it help brainliest pls
Answer:
- hemisphere volume: 262 m³
- cylinder volume: 942 m³
- composite figure volume: 1204 m³
Step-by-step explanation:
A. The formula for the volume of a hemisphere is ...
V = (2/3)πr³
For a radius of 5 m, the volume is ...
V = (2/3)π(5 m)³ = 250π/3 m³ ≈ 261.799 m³
__
B. The formula for the volume of a cylinder is ...
V = πr²h
For a radius of 5 m and a height of 12 m, the volume is ...
V = π(5 m)²(12 m) = 300π m³ ≈ 942.478 m³
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C. Then the total volume is ...
V = hemisphere volume + cylinder volume
V = 261.799 m³ +942.478 m³ = 1204.277 m³
__
Rounded to the nearest integer, the volumes are ...
- hemisphere volume: 262 m³
- cylinder volume: 942 m³
- composite figure volume: 1204 m³
_____
As a rule, you only want to round the final answers. Here, the numbers are such that rounding the intermediate values still gives the correct final answer. That is not always the case.
Answer:
f(x) = -3(x - 5)^2 + 4
vertex (5,4)
Step-by-step explanation:
f(x) = -3x² +30x - 71
f(x) = -3(x² +-10x) - 71
f(x) = -3(x² +-10x+5^2-5^2) - 71
f(x) = -3(x² +-10x+5^2) -3(-5^2) - 71
f(x) = -3(x² +-10x+5^2) + 4
f(x) = -3(x - 5)^2 + 4
vertex (5,4)
-3x - 3 (5x - 17) = 3
-3x - 15x + 51 = 3. combine like terms
-18 x + 51 - 51 = 3 - 51
-18x = -48 divide by -18
x = 3
put 3 in for x
-3 (3) -3y = 3 multiply
-9 +9 - 3y = 3 + 9 combine like terms
-3y = 12 divide by -3
y = -4