Answer:
POKKKKKKK
Step-by-step explanation:
Answer: r = 3
Step-by-step explanation:
V=(4/3)πr^3 (this is the formula to identify a volume of the sphere. Since we know that V = 36π, add it into the following formula like so:
36π = (4/3)πr^3; from here we can cancel out the π
36 = (4/3)r^3; multiply both sides by 3/4
27 = r^3;
the final answer is r = 3.
Answer:
A
Step-by-step explanation:
:D
T=5w
T= total cost
W= weeks
It can't be W= because the question is asking for total cost in dollars, so two options are cancelled out.
Can't be t=5+w because it's 5 per week and if, let's say calculating dollars for 2 weeks, the answer would be t=5+2=7 and that wouldn't be right
Answer:
![k=-9](https://tex.z-dn.net/?f=k%3D-9)
Step-by-step explanation:
According to the Polynomial Remainder Theorem, when dividing a polynomial P(<em>x</em>) by a binomial in the form (<em>x - </em>a), the remainder will be given by P(a).
We are given the polynomial:
![f(x)=x^2+kx+11](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2%2Bkx%2B11)
And it is divided by the binomial:
![x+1](https://tex.z-dn.net/?f=x%2B1)
The remainder is 21.
Rewriting the divisor yields:
![x-(-1)](https://tex.z-dn.net/?f=x-%28-1%29)
So, <em>a</em> = -1.
Then by the PRT:
![f(-1)=(-1)^2+k(-1)+11=21](https://tex.z-dn.net/?f=f%28-1%29%3D%28-1%29%5E2%2Bk%28-1%29%2B11%3D21)
Simplify:
![1-k+11=21](https://tex.z-dn.net/?f=1-k%2B11%3D21)
Solve for <em>k: </em>
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