V = 4/3 * pi * r^3
V = 4/3 * pi * 8.4^3
Simplify exponent:
V = 4/3 * pi * 592.704
Multiply:
<span>V = 790.272pi</span>
Answer:
Step-by-step explanation:
I think your question missed key information, allow me to add in and hope it will fit the orginal one
<em>For the graph below, what should the domain be so that the function is at least 200? graph of y equals minus 2 times the square of x plus 30 times x plus 200
</em>
My answer:
Given the above information, we have:
To make the function is at least 200, it means that:
≥ 200
<=>
≥ 0
<=> x(-2x+30) ≥ 0
This is the product of two numbers hence would be positive only if either both are positive or both are negative
x ≥ 0 and (-2x+30) ≥ 0
<=> 0 ≤ x ≤ 15
Then we get
![x\leq 0 and -2x+30\leq 0\\\\x\leq 0 and x\geq 15](https://tex.z-dn.net/?f=x%5Cleq%200%20and%20-2x%2B30%5Cleq%200%5C%5C%5C%5Cx%5Cleq%200%20and%20x%5Cgeq%2015)
This is inconsistent as a value cannot be less than 0 and greater than 15
=> our correct answer is
Hope it will find you well.
Answer:
it is 51
Step-by-step explanation:
Hope it helps.......
Y = 3x + 4
x + y = 8
Substitute 3x + 4 in for y in the second equation.
x + 3x + 4 = 8
Combine like terms.
4x + 4 = 8
Subtract 4 from both sides.
4x = 4
Divide 4 off of both sides to find the value of x.
x = 1
Now plug 1 into the second equation for x.
1 + y = 8
Subtract 1 from both sides.
y = 7
(1,7) is the final answer.