Answer:
23
Step-by-step explanation:
Women total age = 5 x 23 = 115
Men total age = 3 x 24 = 72
The mean age of all the people
= (115+72)÷(8)
= 23.375
= 23 (nearest year)
The function that represents how much more water can be added to the bucket before it overflows is given as follows:
c(x) = 6x³ + 3x² - 2x - 2.
<h3>How to define the function?</h3>
The function to calculate the space remaining in the pool is given by the subtraction of the capacity function by the function representing the current amount of water in the pool.
The functions in this problem are defined as follows:
- f(x) = 8x³ + 4x² - 6x + 5.
- g(x) = 2x³ + x² - 4x + 7.
Then the capacity function is obtained as follows:
c(x) = f(x) - g(x)
c(x) = 8x³ + 4x² - 6x + 5 - (2x³ + x² - 4x + 7)
Then the distributive property is applied to the negative sign as follows:
c(x) = 8x³ + 4x² - 6x + 5 - 2x³ - x² + 4x - 7.
Finally, the like terms are combined, that is, the terms that have the same variable and exponent, as follows:
c(x) = 6x³ + 3x² - 2x - 2.
More can be learned about operations with functions at brainly.com/question/2723982
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Answer:
perimeter = 14
area = 6
Step-by-step explanation:
p = 4 + 3 + 7
a = L × w
2
1) 343
7 • 7 • 7 = 343
2) 64
2 • 2 • 2 • 2 • 2 • 2 = 64
3) 256
4 • 4 • 4 • 4 = 256
A certain four-cylinder combination lock has 50 numbers on it.
It is a four cylinder combination lock
Each cylinder has 50 numbers
So we have to choose 4 numbers for 4 cylinders
_____ , ______ , ______, _____
you turn to a number on the first cylinder
We have 50 numbers so we have 50 combinations
__50___ , ______ , ______, _____
Repetitions are allowed so we do the same for remaining three
50 , 50 , 50 , 50
50 * 50 * 50* 50 = 6250000
There are 6250000 different lock combinations .
