Answer:
The cost of the electric scooter after the discount and
sales tax will be: $248.24
Step-by-step explanation:
The regular price of an electric scooter = $290
Discount = 20%
The discount price = 20% × 290
= 20/100 × 290
= $58
The price after the discount = $290 - $58 = $232
Sales tax = 7%
Sales tax amount = 7% × 232
= 7/100 × 232
= $16.24
The cost after the discount and sales tax = $232 + $16.24
= $248.24
Thus, the cost of the electric scooter after the discount and
sales tax will be: $248.24
For a vector:
cos^2(α) + cos^2(β) + cos^2(γ) = 1
From the givens:
α = π/4, therefore, cos(α) = 1/root 2 and cos^2(<span>α) = 1/2
</span>β = π/3, therefore, cos(β) = 1/2 and cos^2(<span>β) = 1/4
Substitute in the above equation:
1/2 + 1/4 + </span>cos^2(γ) = 1
cos^2(γ) = 1 - 1/2 - 1/4
cos^2(γ) = 1/4
cos(γ) is either 1/2 or -1/2
For cos(γ)= 1/2 .......> γ = <span>π/3
For </span>cos(γ)= -1/2 .......> γ = 2π/3
Explanation:
It means the result of your calculation doesn't differ from the actual value by more than a factor of 3 (or "something").
For example, suppose you're estimating the volume of a lake. You estimate it to be 100,000 acre-feet. If its actual volume is 265,000 acre-feet, your estimate is within a factor of 3 of the correct volume. (You are too low by a factor of 2.65.)
If your estimate were 700,000 acre-feet, you would still be within a factor of 3 of the correct value. (You would be too high by a factor of 2.64.)
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This sort of tolerance allowance is usually specified for things that are difficult to estimate. A factor of 3 is generous, but requires you have a pretty good guess as to many of the parameters involved. For example, it may be unlikely you could estimate the number of grains of sand on a beach within such a factor. On the other hand, you could probably easily estimate the number of candies in a jar within that tolerance.
Answer:
9
Step-by-step explanation:
if that v is root symbol