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3 years ago

Find the circumference of the circle in terms of π

Mathematics

1 answer:

MaRussiya [10]3 years ago

5 0

The answer is………… pie u got this buddy don’t give up

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I need help with this question ?

son4ous [18]

80, -160, 320, and so on. You just multiply by -2 each time!

7 0

3 years ago

John is buying food for his cat, Fluffy. Fluffy LOVES a fancy wet food which costs $1.50 per day. Fluffy will also tolerate dry

Vedmedyk [2.9K]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of days that fluffy eats wet food in a week and y represents the number of days that fluffy eats dry food in a week.

Hence:

x + y = 7 (1)

Also, John wants to spend at most $9.00 on cat food each week. Hence:

1.5x + 0.75y ≤ 9 (2)

The list of possible points after solving graphically are:

(0,7), (6,0), (0,12) and (5, 2). If x,y > 0, then the point that satisfies the inequality is:

(5, 2) i.e. 5 wet food and 2 dry food

5 0

3 years ago

Find the indefinite integral using the substitution provided.

Nady [450]

Answer: $7\text{Ln}\left(e^{2x}+10\right)+C$

This is the same as writing 7*Ln( e^(2x) + 10) + C

=======================================================

Explanation:

Start with the equation $u = e^{2x}+10$

Apply the derivative and multiply both sides by 7 like so

$u = e^{2x}+10\\\\\frac{du}{dx} = 2e^{2x}\\\\7\frac{du}{dx} = 7*2e^{2x}\\\\7\frac{du}{dx} = 14e^{2x}\\\\7du = 14e^{2x}dx\\\\$

The "multiply both sides by 7" operation was done to turn the 2e^(2x) into 14e^(2x)

This way we can do the following substitutions:

$\displaystyle \int \frac{14e^{2x}}{e^{2x}+10}dx\\\\\\\displaystyle \int \frac{1}{e^{2x}+10}14e^{2x}dx\\\\\\\displaystyle \int \frac{1}{u}7du\\\\\\\displaystyle 7\int \frac{1}{u}du\\\\\\$

Integrating leads to

$\displaystyle 7\int \frac{1}{u}du\\\\\\7\text{Ln}\left(u\right)+C\\\\\\7\text{Ln}\left(e^{2x}+10\right)+C\\\\\\$

Be sure to replace 'u' with e^(2x)+10 since it's likely your teacher wants a function in terms of x. Also, do not forget to have the plus C at the end. This is a common mistake many students forget to do.

To verify the answer, you can apply the derivative to it and you should get back to the original integrand of $\frac{14e^{2x}}{e^{2x}+10}$

4 0

2 years ago

2x + 4y = 12 y = x – 3 What is the solution to the system of equations?

sergeinik [125]

2x+4y=12
y=x-3

Since we know what y equals, we can plug this into the first equation:
2x+4(x-3)=12
We can then distribute:
2x+4x-12=12
And solve for x:
6x-12=12
6x=24
x=4
We can then plug x into the second equation and find y:
y=x-3
y=4-3
y=1

Therefore x=4 and y=1

8 0

3 years ago

Help if you can???? Please :)

dsp73

Answer:

J = 9

Step-by-step explanation:

12 - J = 3

12 - 3 = J

J = 9

6 0

3 years ago

Find the circumference of the circle in terms of π​

Find the circumference of the circle in terms of π