Step-by-step explanation:
See attached picture.
First, compare the highest term of the dividend (x²) to the highest term of the divisor (x). We need to multiply the divisor by x.
When we do that, we get x² + 5x. Subtracting this from the dividend, we get -9x + 11.
Now repeat the process. Compare the highest term of the new dividend (-9x) to the highest term of the divisor (x). We need to multiply by -9.
When we do that, we get -9x − 45. When we subtract from the new dividend, we get 56.
So the quotient is x − 9, and the remainder is 56.
If the soda can is a cylinder, which is most likely, than that means we need to find the height of the cone. The formula for volume of a cylinder is V= пr^2h (look at the pic for clearer formula) and we know the diameter of the soda can is 6, we know the radius is 3 because diameter is a line reaching from one point of the circle to the other. Radius is a line reaching from the center of the circle to the outside as shown in the image. We divide pi (you can put in the calculator 3.14) from 21, then we get 6.688 (if we round up) and then you must look at the formula now
it looks like
6.688=r^2h
that means we must find 3^2
that basically means 3x3 which is 9
then you have to divide that from 6.688
then you get 0.743
that is your height.
now we must find the volume of the cone. The formula for that is
V=пr^2(h/3)
now lets plug in our info
V=(3.14)(9)(0.743/3)
you get 6.999
When you are solving an algebraic one-step equation, the goal is to isolate the variable on one side of the equal sign, two-step equations are the same, but with one more step (hence the name)
It will take 20 months for the cost to be same.
Step-by-step explanation:
Apartment A;
Security deposit = $1000
Each month cost = $1200
Let,
x be the number of months.
A(x) = 1000 + 1200x
Apartment B;
Security deposit = $1500
Each month cost = $1175
B(x) = 1500 + 1175x
The cost will be same when the functions are equal, therefore,
A(x) = B(x)
Dividing both sides by 25
It will take 20 months for the cost to be same.
Keywords: function, division
Learn more about functions at:
#LearnwithBrainly
Answer:
answer is A
Step-by-step explanation:
"The data is a random sample from the population of interest.
This condition is met since he took an SRS (simple random sample) from the population of interest."
khan academy (trust me i try to find the answer might as well just give it, it was the only green one)