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zloy xaker [14]

3 years ago

15

Find x thank you so much!

1 answer:

Natalija [7]3 years ago

4 0

Answer:

x

Step-by-step explanation:

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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).

8 0

4 years ago

The number of students enrolled at a college is 12,000 and grows 6% each year. Complete parts (a) through (e).

ziro4ka [17]

Answer:

the question is not complete. but with the information you gave 6% of 12000 is 720, the number of students increase by 720 each year

4 0

3 years ago

A rental car company offers a rental package for a mid-size car.

skelet666 [1.2K]

Answer:

$y=45x+40$

Step-by-step explanation:

Let

x -----> the number of days

y ----> the total cost in dollars,

we know that

The equation of a linear function in slope intercept form is equal to

$y=mx+b$

where

m is the slope o rate of the linear equation

b is the y-coordinate of the y-intercept

Remember that the y-intercept is the value of y when the value of x is equal to zero

In this problem we have

The slope is equal to the rental cost per day

so

$m=45\frac{\$}{day}$

When the number of days is equal to zero (x=0) the total cost is equal to $40 (administrative fee for the cleaning and maintenance of the car)

The y-intercept is the point (0,40)

so

$b=\$40$

substitute the values

$y=45x+40$

8 0

4 years ago

Each sandbag holds 27 pounds of sand, and it takes 53 bags to go all the way around Wilma's house. How many pounds of sand does

ahrayia [7]

1,431 pounds to go all the way around Wilmas house

6 0

4 years ago

PLEASEEEEEE HELPPPPPPPPPP MEEEEEEEEEEEEEEEE

polet [3.4K]

Answer:

120.2 or in other words, the answer is the last option, D

3 0

3 years ago