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wolverine [178]

2 years ago

8

Michael wants to plant a circular flower garden in his backyard. If the radius of his garden is 12.5 feet, what is the circumfer

ence of the
garden in terms of pi?

1 answer:

bixtya [17]2 years ago

7 0

Answer: 78.54

Step-by-step explanation: :D

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Does (-2)^n/( 3^n+1) converge or diverge?

hodyreva [135]

$\left|\dfrac{(-2)^n}{3^n+1}\right|=\dfrac{2^n}{3^n+1}$

As $n\to\infty$ , the sequence $a_n=\left(\dfrac23\right)^n$ converges to zero.

If you're talking about the infinite series

$\displaystyle\sum_{n\ge0}\dfrac{(-2)^n}{3^n+1}$

well we've shown by comparison that this series must also converge because we know any geometric series $\sum\limits_n r^n$ will converge as long as $|r|$ .

3 0

3 years ago

Find the value of y in the equation 3/y-2=8

Romashka-Z-Leto [24]

H e r e i s t h e a n s w e r !

8 0

3 years ago

-5/6+ -5/6 please help me

ehidna [41]

(-5/6)+(-5/6) have the same denominator (number at bottom of fraction), so all you have to do is add the numerator(top number). So -5 +-5 =-10 . Now you have -10/6, which simplifies to -5/3.
Hope this helps :)

5 0

3 years ago

Read 2 more answers

What is an equation in slope-intercept form of the line that passes through the points (−2, −2) and (1, 7)? A.y = 4x + 3 B.y − 7

antoniya [11.8K]

Answer:

C.y = 3x + 4

Step-by-step explanation:

We have two points, so we can find the slope

m = (y2-y1)/ (x2-x1)

= (7--2)/ (1--2)

= (7+2)/(1+2)

= 9/3

=3

The slope is 3

We can find the point slope form of the line

y-y1 = m(x-x1)

y-7 = 3(x-1)

Distribute

y-7 =3x-3

Add 7 to each side

y-7+7 = 3x-3+7

y = 3x+4

This is in slope intercept form (y=mx+b)

8 0

3 years ago

Anybody know the answer?

dsp73

So since its a right triangle, we can use the pythagorean theorem, which is $leg^2+leg^2=hypotenuse^2$ . Since we know that 2 and 3 are our legs and x is our hypotenuse, we can solve the equation as such:

$2^2+3^2=x^2\\ 4+9=x^2\\ 13=x^2\\ \sqrt{13}=x$

Since √13 can't be further simplified, that is your final answer.

8 0

3 years ago