3 years ago

How do I solve this?

Mathematics

1 answer:

Furkat [3]3 years ago

8 0

Answer:

Step-by-step explanation:

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The expression 3^2 ∙ 3^n simplifies to 3^20.

tiny-mole [99]

Answer: 18

Step-by-step explanation:

3² * 3ⁿ = 3²⁰

3⁽²⁺ⁿ⁾ = 3²⁰

2 + n = 20

-2 -2

n = 18

7 0

3 years ago

6. It takes Ms. Rogan 13.7 minutes to run 1 mile. How long does it take her to run 3.1 miles (a 5k!). *

Brums [2.3K]

Answer

42.47

Step-by-step explanation:

4 0

2 years ago

In ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°. Find the length of k, to the nearest inch.\

s2008m [1.1K]

Given:

In ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°.

To find:

The length of k, to the nearest inch.

Solution:

According to Law of sine,

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

In ΔKLM, using law of sine, we get

$\dfrac{k}{\sin K}=\dfrac{l}{\sin L}$

$\dfrac{k}{\sin (55^\circ)}=\dfrac{48}{\sin (46^\circ)}$

$k=\dfrac{48\times \sin (55^\circ)}{\sin (46^\circ)}$

On further simplification, we get

$k=\dfrac{48\times 0.819152}{0.7193398}$

$k=\dfrac{39.319296}{0.7193398}$

$k=54.66025
$

Approximate the value to the nearest inch.

$k\approx 55
$

Therefore, the length of k is 55 inch.

4 0

3 years ago

A store is having a sale on used video game. Each game cost $12. Write an algebraic expression to represent the cost of buying v

alexandr1967 [171]

The algebraic expression you would write is 12v

8 0

3 years ago

Given the differential Equation y'+2y=2e^x ;solve this equation using the integration factor; solve for y to get the general sol

SCORPION-xisa [38]

$y'+2y=2e^x\Longrightarrow y'=2e^x-2y$

If $f'(x)=g(x)$ then $y=\int{g(x)dx}$

So we extract,

$y=\int{2e^x-2x}dx$

Which becomes,

$y=2e^x-x^2+C$

Hope this helps.

r3t40

5 0

3 years ago