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2 years ago

Help me pls fast ASAP

Mathematics

1 answer:

tensa zangetsu [6.8K]2 years ago

6 0

I think the answer is the last one.

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Find x.<br> x = 4<br> x = 5<br> x = 6

Oliga [24]

Answer:

Given triangles are similar

$\frac{9}{6} = \frac{x}{4} \\\frac{3}{2} = \frac{x}{4} \\ x = \frac{(3 \times 4)}{2} \\ \boxed{x = 6}$

<h3>Value of x is 6.</h3>

4 0

2 years ago

The amount of electricity that a solar panel is capable of producing slowly decays over time. After ten years, a solar panel pro

SashulF [63]

Answer:

It will take 34.79 years before the solar panel is only able to produce 300 watts of power

Step-by-step explanation:

The equation for the amount of electricity that a solar panel is capable has the following format:

$Q(t) = Q(0)e^{-kt}$

In which Q(t) is the amount after t years, Q(0) is the initial amount and k is the exponential decay constant.

After ten years, a solar panel produces 89% of the electricity that it was able to produce when it was brand new.

This means that $Q(10) = 0.89Q(0)$ . So

$Q(t) = Q(0)e^{-kt}$

$0.89Q(0) = Q(0)e^{-10k}$

$e^{-10k} = 0.89$

$\ln{e^{-10k}} = \ln{0.89}$

$-10k = \ln{0.89}$

$10k = -\ln{0.89}$

$k = \frac{-\ln{0.89}}{10}$

$k = 0.01165$

$Q(t) = Q(0)e^{-0.01165t}$

Initially capable of producing 450 watts of power

This means that $Q(0) = 450$

How long will it take before the solar panel is only able to produce 300 watts of power?

This is t for which Q(t) = 300. So

$Q(t) = 450e^{-0.01165t}$

$450 = 300e^{-0.01165t}$

$e^{-0.01165t} = \frac{300}{450}$

$\ln{e^{-0.01165t}} = \ln{\frac{300}{450}}$

$-0.01165t = \ln{\frac{300}{450}}$

$0.01165t = -\ln{\frac{300}{450}}$

$t = -\frac{\ln{\frac{300}{450}}}{0.01165}$

$t = 34.79$

It will take 34.79 years before the solar panel is only able to produce 300 watts of power

7 0

3 years ago

(I HONESTLY NEED THIS ANSWERED FAST PLEASE HELP ME!!!!!!!!PLEASE!!!!!!!!!!!!!)

KengaRu [80]

12 / 27 = 4/h Cross multiply
12h = 27 * 4 Notice top and bottom is equated to top and bottom of the two you have not yet used.
12h = 108 Divide by 12
h = 108 / 12
h = 9
C <<<<<-===== answer.

4 0

2 years ago

Officer Brimberry wrote 16 tickets for traffic violations last week, but only 2 tickets this week. What is the percent decrease?

Verdich [7]

Answer:

87.5%

Step-by-step explanation:

It decreased by 16 - 2 or 14, and since he wrote 16 tickets last week, the answer is 14/16 in percent form, or 7/8 = 87.5%.

6 0

2 years ago

0.034 yards to 60 feet as a fraction

erma4kov [3.2K]

1 yard = 3 feet
0.034 yard = 0.102 feet
0.034 yard to 60 feet
= 0.102 : 60
= 51 /30 000
Answer = 17 /10 000

7 0

2 years ago

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