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2 years ago

How do you find the area?

Mathematics

1 answer:

Helen [10]2 years ago

4 0

Answer:

• First attachment's graph is correct

• Second attachment, the area is approximately 8.6

Step-by-step explanation:

Remember that the area between two curves is defined as the following:

$\mathrm{The\:area\:between\:curves\:is\:the\:area\:between\:curve\:f(x)\:and\:curve\:g(x)\:on\:interval\:[a,b]} :\\A=\int _a^b|f\left(x\right)-g\left(x\right)|dx$

We are given the curves y = 7cos(2x), and y = 7 - 7cos(2x) on interval [0, π/2]. Therefore, applying the area formula, we have the solve the following integral:

$\int _0^{\frac{\pi }{2}}\left|7\cos \left(2x\right)-\left(7-7\cos \left(2x\right)\right)\right|dx$

From now on take a look at the attachment. It shows how to solve the integral, and it's exact value. The area is not 9.727 as you entered, it is approximately 8.6. Your graph however was accurate, but there can be no work shown for that as it's much easier to use a graphing calculator.

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Customers at TAB are charged for the amount of salad the take. Sampling suggests that the

maks197457 [2]

Answer:

The probability density function of X is:

$f_{X}(x)=\frac{1}{15-5}=\frac{1}{10};\ 5$

Step-by-step explanation:

A continuous Uniform distribution is the probability distribution of a random outcome of an experiment that lies with certain specific bounds.

Consider that random variable X follows a continuous Uniform distribution and the value of X lies between a and b.

The probability density function of the random variable X is:

$f_{X}(x)=\frac{1}{b-a};\ a$

Now, in this case it is provided that the amount of salad taken is uniformly distributed between 5 ounces and 15 ounces.

The random variable X is defined as:

Χ = Salad plate filling weight.

The probability density function of the salad plate filling weight is:

$f_{X}(x)=\frac{1}{15-5}=\frac{1}{10};\ 5$

7 0

2 years ago

What is the slope of the line created by this equation? Found your answer out to two decimal places.10x+2y=3

seraphim [82]

The line equation in slope-intercept form is given by

$y=mx+b$

where b is the y-intercept and m is the slope.

Then, we need to convert the given equation into the slope-intercept form. Then, by subtracting 10x to both sides, we have

$2y=-10x+3$

and by dividing both sides by 2, we get

$y=-5x+\frac{3}{2}$

By comparing this result with the first equation, we can see that the slope is m= -5. So, the answer is: -5

5 0

3 months ago

If A = -3n + 2 and B = 5n - 7, what is the value of A - B, in simplest form?

11Alexandr11 [23.1K]

Answer:

-8n + 9

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

A = -3n + 2

B = 5n - 7

A - B

Step 2: Simplify

Substitute: -3n + 2 - (5n - 7)
Distribute negative: -3n + 2 - 5n + 7
Combine like terms (n): -8n + 2 + 7
Combine like terms (Z): -8n + 9

4 0

2 years ago

If the experiment is consisting of rolling a fair die once, find:

Eva8 [605]

1)1,2,3,4,5,6

2)1/2

3)1/2

4)1/3

5)5 OR LESS THAN FIVE =1/6

ONLY LESS THAN FIVE (EXCLUDING FIVE)=4/6=2/3

7 0

2 years ago

Solve the system of equations : y = x/2 , y = -x - 3 . You can use any method you wish for solving systems of equations. Check y

lorasvet [3.4K]

Answer:

x=−2 and y=−1

Step-by-step explanation:

Problem:

Solve y=x2;y=−x−3

Steps:

I will solve your system by substitution.

y=1/2x;y=−x−3

Step: Solve y= 1/2x for y:

Step: Substitute 1/2 x for y in y=−x−3:

y=−x−3

1/2x= =−x−3

1/2x+x=−x−3+x(Add x to both sides)

3/2x = -3

3/2x/3/2 = -3/3/2 (Divide both sides by 3/2)

x=−2

Step: Substitute −2 for x in y=1/2x:

y=1/2x

y=1/2(-2)

y=−1(Simplify both sides of the equation)

Answer:

x=−2 and y=−1

5 0

1 year ago