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2 years ago

Can somebody help me pls!!!

Mathematics

2 answers:

CaHeK987 [17]2 years ago

5 0

D: none of the above
just in case, the answer is 26 miles, and you need to use the Pythagorean theorem

dlinn [17]2 years ago

5 0

It would be C.) 8 miles.

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Show all work and reasoning

Natalija [7]

Split up the interval [2, 5] into $n$ equally spaced subintervals, then consider the value of $f(x)$ at the right endpoint of each subinterval.

The length of the interval is $5-2=3$ , so the length of each subinterval would be $\dfrac3n$ . This means the first rectangle's height would be taken to be $x^2$ when $x=2+\dfrac3n$ , so that the height is $\left(2+\dfrac3n\right)^2$ , and its base would have length $\dfrac{3k}n$ . So the area under $x^2$ over the first subinterval is $\left(2+\dfrac3n\right)^2\dfrac3n$ .

Continuing in this fashion, the area under $x^2$ over the $k$ th subinterval is approximated by $\left(2+\dfrac{3k}n\right)^2\dfrac{3k}n$ , and so the Riemann approximation to the definite integral is

$\displaystyle\sum_{k=1}^n\left(2+\frac{3k}n\right)^2\frac{3k}n$

and its value is given exactly by taking $n\to\infty$ . So the answer is D (and the value of the integral is exactly 39).

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exis [7]

It’s not my answer but I think it’s correct!

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2 years ago

A store item is originally priced at $80. the item goes on sale at a 25% discount. two weeks later that sales price is marked do

s2008m [1.1K]

First, the item goes on sale for 25% discount which means that the price will now be only 75% of the original price.

Case 1: Price = ($80)(0.75) = $60

Then, the item is sold for additional discount of 10% which the new price is only 90% of the supposed price.

Case 2: Price = ($60)(0.90) = $54

Answer: $54

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