Answer:
1766.3
Step-by-step explanation:
V=4
/3πr^3
= 4/3(3.14)(7.5)^3
= 4/3(3.14)(421.88)
= 4/3(1324.69)
= 1766.25
= 1766.3
I hope this is right!
Answer:
You can put this solution on YOUR website!
the inequality is 500 - 25x >= 200
this insures that he will have at least 200 at the end of the summer.
subtract 200 from both sides of that inequality and add 25x to both sides of that inequality to get 500 - 200 >= 25x
simplify to get 300 >= 25x
divide both sides of that equation by 25 to get 300 / 25 >= x
simplify to get 12 >= x
12 >= x means x <= 12.
when x is smaller than or equal to 12, he will be guaranteed to have at least 200 in the account at the end of the summer.
when x = 12, what is left in the account is 500 - 25 * 12 = 200.
when x = 11, what is left in the account is 500 - 25 * 11 = 225.
when x = 13, what is left in the account is 500 - 25 * 13 = 175.
the maximum number of weeks he can withdraw money from his account is 12.
Step-by-step explanation:
We first need to factorize (if possible) the denominators:
we can see that
as 2 and 5 are two numbers whose sum is 7 and product is 10.
Similarly, we can see that
as 2 and 3 are two numbers whose sum is 5 and product is 6.
Thus, the expression is:
.
Now to make the denominators equal, but to also keep them as small as possible, the common denominator must be (p+3)(p+2)(p+5).
Answer: (p+3)(p+2)(p+5).
Slope = (y₂- y₁) / (x₂- x₁)
Points C( 3, -5) and D (6, 0) compare to (x₁, y₁) and (x₂, y₂)
Slope = (0 - -5) / (6- 3) = (0+5) / (3) = 5/3
Slope = 5/3
Equation of line given a slope and point, y - y₁ = m(x - x₁)
m = 5/3, let point C( 3, -5) = (x₁, y₁)
y - - 5 = (5/3) (x - 3)
y + 5 = (5/3)(x - 3)
3(y + 5) = 5(x - 3)
3y + 15 = 5x - 15
3y = 5x - 15 - 15
3y = 5x - 30
Hence the equation of the line is 3y = 5x - 30
Answer:
Its D
Step-by-step explanation:
