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3 years ago

Parallel lines s and t are cut by a transversal r.

Mathematics

1 answer:

AURORKA [14]3 years ago

4 0

Answer:

the answer is <3 and 5

because they add up to 180

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Write the sentence as an inequality

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Answer:

X2+4<10

Step-by-step explanation:

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3 years ago

Expand & simplify <br> (2x+6)(x−9)

Alex777 [14]

Answer:

2x^2-12x-54

Step-by-step explanation:

First 2x times x along with 2x times -9

Second 6 times x along with 6 times -9

2x^2-18x+6x-54

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2 years ago

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3 years ago

Many electronics follow a failure rate described by an exponential probability density function (PDF). Solar panels are advertis

katovenus [111]

Answer:

The right answer is "0.3193".

Step-by-step explanation:

According to the question,

Mean,

$\frac{1}{\lambda} = 13$

$\lambda = \frac{1}{13}$

As we know,

The cumulative distributive function will be:

⇒ $1-e^{-\lambda x}$

hence,

In the first 5 years, the probability of failure will be:

⇒ $P(X$

$=1-e^{-(\frac{1}{13} )\times 5}$

$=1-e^(-\frac{5}{13})$

$=1-0.6807$

$=0.3193$

3 0

3 years ago

In 2016 the United States had a population of about 323 million people and was growing at 0.7 %. Use an explicit exponential mod

ElenaW [278]

Answer:

2047

Step-by-step explanation:

We are given that

Growing rate=0.7%

$\frac{dp}{dt}=\frac{0.7}{100}P$

$\int \frac{dP}{P}=0.007\int dt$

$lnP=0.007t+C$

Using the formula

$\int \frac{dx}{x}=ln x+C$

$P=e^{0.007t+C}=e^{0.007t}\cdot e^C=Ae^{0.007t}$

$e^C=A$

Initially when t=0,P=323 million

Substitute the values

$323 million=A$

$P=323e^{0.007t}$

Now, substitute P=400 million

$400=323e^{0.007t}$

$ln\frac{400}{323}=0.007t$

$ln(1.2384)=0.007t$

$t=\frac{ln(1.2384}{0.007}$

$t=30.5\approx 31 Years$

Year=2016+31=2047

Hence,In 2047 the U.S population will reach 400 million people.

5 0

3 years ago

Parallel lines s and t are cut by a transversal r. ​

Parallel lines s and t are cut by a transversal r.