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3 years ago

Wesley jogs 10 miles each weeks. Then he jogs 20 miles each week for 3 weeks how many miles does Wesley jog in 5 week?

Mathematics

1 answer:

Kruka [31]3 years ago

6 0

I think he would jog 80 miles in 5 weeks
20+20+20+10+10=80

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Please find the measure of the exterior angle

makvit [3.9K]

Answer:

exterior angles:

144°and 36°

126° and 54°

90° and 90°

Step-by-step explanation:

we know that each angle in a triangle adds up to 180°.

so,

2x+3x+5x=180

10x=180

x=180/10

x=18

the interior angles are:

2x=36°

3x=54°

5x=90°

and explanation is provided to find the exterior angles above.(sorry for the bad handwriting)

6 0

3 years ago

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

2 years ago

Solve for m -20+14m=10m+16

Kay [80]

-20+14m=10m+16
-10m. -10m
-20+4m=16
+20. +20
4m=36
/4. /4
m=9

6 0

3 years ago

Find the Factors of 84.

polet [3.4K]

84 is a composite number. 84 = 1 x 84, 2 x 42, 3 x 28, 4 x 21, 6 x 14, or 7 x 12.
Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.

7 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%5Csf%20-10-11x%2B24%3D3x" id="TexFormula1" title="\sf -10-11x+24=3x" alt="\sf -10-11x+24=3x"

olga55 [171]

Answer:

- 14x + 14

Step-by-step explanation:

- 10 - 11x + 24 - 3x ← collect like terms

= (- 11x - 3x) + (- 10 + 24)

= - 14x + 14

4 0

2 years ago

Read 2 more answers