I go bowling every week and keep track of how many strikes i get: 2,0,4,7,7,0,1,0 Find the mode median and mean of this set of d
1 answer:
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Answer:
Step-by-step explanation:
GIVEN: A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of the dome is , and the total height of the building up to the top of the dome is
.
TO FIND: what is the approximate total volume of the building.
SOLUTION:
let the height of the mountaintop be
As the dome hemispherical.
circumference of a hemisphere
total height of the building up to the top of the dome
Volume of building
as radius of mountain top is same as dome
putting values
Hence the total volume of the building is
Answer:
Step-by-step explanation:
So the first step is to add like terms since you can simplify the numerator by adding the two values sine they have the same variable and degree.
Add like terms:
Divide by 2x (divide coefficient by 2, subtract coefficient degrees)
Multiply exponents and raise 4 to the power of 5
The reason you multiply exponents is because you can think about it like this:
(4 * x * x * x * x * x * x * x * x) (this has one 4 and 8 x's because x is raised to the power of 8. Now if you do that 5 times which is what the exponent is doing you're going to have 40 x's and 8 4's. So it's essentially
(4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x). If you group like terms you'll get (4 * 4 * 4 * 4 * 4) * (x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x). Which simplifies to 4^5 * x ^ (8 * 5) which further simplifies to the answer 1024x^40