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4 years ago

a rectangular playing field measure 350 by 200m if kolade stroll 11 times around what is the answer in km

Mathematics

1 answer:

Eva8 [605]4 years ago

6 0

Answer:

12.1 km

Step-by-step explanation:

350 * 2 = 700

200 * 2 = 400

700 + 400 = 1100

1100 * 11 = 12100

12100 / 1000 = 12.1

12.1 km

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What is the sum of the series infinity e n-1 -7(3/8)^n?

soldier1979 [14.2K]

Let

$S_N = \displaystyle \sum_{n=1}^N -7 \left(\frac38\right)^n = -7\left(\dfrac38 + \dfrac{3^2}{8^2} + \dfrac{3^3}{8^3} + \cdots + \dfrac{3^N}{8^N}\right)$

Then

$\dfrac38 S_N = -7\left(\dfrac{3^2}{8^2} + \dfrac{3^3}{8^3} + \dfrac{3^4}{8^4} + \cdots + \dfrac{3^{N+1}}{8^{N+1}}\right)$

$S_N - \dfrac38 S_N = -7 \left(\dfrac38 - \dfrac{3^{N+1}}{8^{N+1}}\right)$

$\dfrac58 S_N = -\dfrac{21}8 \left(1 - \left(\dfrac38\right)^N\right)$

$S_N = -\dfrac{21}5 \left(1 - \left(\dfrac38\right)^N\right)$

As $N\to\infty$ , the exponential term will converge to zero, so the infinite sum converges to

$\displaystyle \sum_{n=1}^\infty -7 \left(\frac38\right)^n = \lim_{n\to\infty} S_N = \boxed{-\dfrac{21}5}$

6 0

2 years ago

Plz Im really stuck on this question also plz show work so I understand how to get this question.

777dan777 [17]

Answer:

x ≈ - 0.14

Step-by-step explanation:

6(4x + 5) = 3(x + 8) + 3 ← distribute parenthesis on both sides

24x + 30 = 3x + 24 + 3 , simplify

24x + 30 = 3x + 27 ( subtract 3x from both sides )

21x + 30 = 27 ( subtract 30 from both sides )

21x = - 3 ( divide both sides by 21 )

x = $\frac{-3}{21}$ = - $\frac{1}{7}$ ≈ - 0.14 ( to the nearest hundredth )

4 0

3 years ago

What’s 32% of ____=8

Zanzabum

Answer:

Step-by-step explanation:

32% = 32/100 = 0.32

Let the unknown number be x.

0.32 x = 8

x = 25

6 0

4 years ago

Bryan is buying notebooks and pens at an office supply store. Notebooks cost $3.59 and pens cost $1.49. He can spend up to $13 o

solong [7]

if the notebooks cost 3.59 and pens cost 1.49, with x representing the notebooks and y representing the number of pens and an amount of $13, the inequality would be written as 3.59x+1.49y13

Pls mark as brainliest if this helped :)

6 0

3 years ago

If n is the smallest of three consecutive integers, write an expression for the largest number.

Ronch [10]

N+2 because n is the smallest number

8 0

3 years ago

a rectangular playing field measure 350 by 200m if kolade stroll 11 times around what is the answer in km​

a rectangular playing field measure 350 by 200m if kolade stroll 11 times around what is the answer in km