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user100 [1]
3 years ago
14

Many practical applications require calculations of area. Some of these calculations are straightforward, but others are more di

fficult, and it turns out that the idea of the definite integral can help us with the more difficult cases. Let’s start with some familiar shapes. What is the area of a rectangle of length l and width w?
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
4 0

Answer:

L*W

Step-by-step explanation:

As we Know tha area of a rectangle is Leght*witdth so in this case will be L*W but lets prove it by calculating the integral:

Area= L*W= \int\limits^w_0 F{x} \, dx =\int\limits^w_0 L*w({x}) \, dx

So as the integral of a constant is the constant multiplied by the integration variable x.

The integral becomes: L*W(x) where W(x) in this case is W= L*W

Good luck!

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a museum employee surveys a random sample of 350 visitors to the museum. Of those visitors, 266 stopped at the gift shop. Based
Naddika [18.5K]

1748 people are expected to stop at the gift shop out of 2300.

Step-by-step explanation:

Given,

Number of random sampled people = 350

Number of people who stopped at shop = 266

Percentage = \frac{People\ stopped}{Total\ people}*100

Percentage = \frac{266}{350}*100=76\%

Therefore,

76% people would stop at the gift stop.

Number of people = 2300

Expected number = 76% of total

Expected number = \frac{76}{100}*2300

Expected number = 1748

1748 people are expected to stop at the gift shop out of 2300.

4 0
3 years ago
What is the volume of the composite figure?
Stells [14]
The right answer is 

D.)

Hope this helps :)
4 0
3 years ago
Read 2 more answers
What is the completely factored form of x4 + 8x2 – 9? (x + 1)(x – 1)(x + 3)(x + 3) (x+1)(x+1)(x+3){x^2+9} (x2 – 1)(x + 3)(x – 3)
Y_Kistochka [10]

Answer:

(x+1)(x-1)(x^2+9)

Step-by-step explanation:


5 0
3 years ago
Find the balance on a deposit of $455 that earns 4% interest compounded annually for 2 years. $36.40 $491.40 $492.13 $819
STatiana [176]
A=P(1+ \frac{r}{n})^{tn}
A=future amount
P=present amount
r=rate in decimal
n=number of times per year compounded
t=time in years

given
P=455
r=4%=0.04
n=1
t=2

A=455(1+ \frac{0.04}{1})^{(2)(1)}
A=455(1+ 0.04)^{2}
A=455(1.04)^{2}
A=492.128
round
$492.13
3rd option
5 0
3 years ago
Read 2 more answers
The expression once The left side of an equation is shown below. 3(x+1)+9 if the equation has no solution which expression can b
lys-0071 [83]
<h3>Answer:</h3>

C. 4(x-3)-x

<h3>Step-by-step explanation:</h3>

All of the given expressions are equivalent to 3x+12 except selection C. Using that in your equation makes it be ...

... 3(x +1) +9 = 4(x -3) -x

... 3x +12 = 3x -12

... 12 = -12 . . . . . <em>false</em>

There is no value of x that will make this true, hence NO SOLUTION.

_____

<em>Comment on the other choices</em>

3x+12 = 3x+12 has an <em>infinite number of solutions</em>, as <u><em>any</em></u> value of x will make this true.

7 0
3 years ago
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