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3 years ago

What is the area of the playGround show below 20 feet and 5 feet

Mathematics

2 answers:

Vikentia [17]3 years ago

5 0

100 because 20*5=10p

gayaneshka [121]3 years ago

5 0

The area of the playground would be 100ft².

Finding the area of a rectangle, you have to multiply the length and width of that rectangle

area = l • w

area = 5 • 20

area = 100ft²

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Test the series for convergence or divergence (using ratio test)

Triss [41]

Answer:

$\lim_{n \to \infty} U_n =0$

Given series is convergence by using Leibnitz's rule

Step-by-step explanation:

Step(i):-

Given series is an alternating series

∑ $(-1)^{n} \frac{n^{2} }{n^{3}+3 }$

Let $U_{n} = (-1)^{n} \frac{n^{2} }{n^{3}+3 }$

By using Leibnitz's rule

$U_{n} - U_{n-1} = \frac{n^{2} }{n^{3} +3} - \frac{(n-1)^{2} }{(n-1)^{3}+3 }$

$U_{n} - U_{n-1} = \frac{n^{2}(n-1)^{3} +3)-(n-1)^{2} (n^{3} +3) }{(n^{3} +3)(n-1)^{3} +3)}$

Uₙ-Uₙ₋₁ <0

Step(ii):-

$\lim_{n \to \infty} U_n = \lim_{n \to \infty}\frac{n^{2} }{n^{3}+3 }$

$= \lim_{n \to \infty}\frac{n^{2} }{n^{3}(1+\frac{3}{n^{3} } ) }$

= $= \lim_{n \to \infty}\frac{1 }{n(1+\frac{3}{n^{3} } ) }$

$=\frac{1}{infinite }$

$\lim_{n \to \infty} U_n =0$

∴ Given series is converges

3 0

3 years ago

The number of pepperoni slices that kim puts on a pizza varies directly as the square of the diameter of the pizza. If she puts

seropon [69]

You can make this into a fraction, and then simplify it.

15/10, right?

15/10 = 3/2

Then compare 3/2 to the rest of the equation

3/2 = x/16

2 * 8 = 16
so
3 * 8 = x
x = 24

Kim would put x number of pizza slices on her pizza.
So she would be putting on 24 slices on her pizza.

6 0

3 years ago

Read 2 more answers

The chess club at a school has 15 members. The number of games won in tournament play this season by each member is listed. What

boyakko [2]

Answer: please provide a picture

Step-by-step explanation:

8 0

4 years ago

4.5 , 3.25 , 2 , 0.75 next three terms

LiRa [457]

-.5 , -1.75, 3 hope that's what you wanted

6 0

4 years ago

What are the x and y intercepts of the line 3x-4y=192

Lisa [10]

Answer:

x intercept (64,0)

y intercept (0,-48)

Step-by-step explanation:

5 0

3 years ago