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2 years ago

0.3x +y = 7 represents a linear function

Mathematics

1 answer:

Romashka-Z-Leto [24]2 years ago

7 0

Yes it represents a linear function.

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A square has an area of 49 square inches. Explain how to find the perimeter of the square.

dexar [7]

It is a square, so you know the sides are equal. You also know that 49 is a squared number. so you do 49 square rooted and you get 7. the perimeter is adding all the side lengths. So you take 7 and multiply it by 4 since a square has 4 sides. and u have your perimeter. 28!<span />

3 0

2 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

2 years ago

2. Tom Johnson worked 32 hours this week for $9.25 per hour. What is Tom’s gross pay for the week?

prohojiy [21]

His pay for the week is 296

5 0

2 years ago

Read 2 more answers

Kallie is selling lemonade and ice pops to raise money for a trip to the local water park. A cup of lemonade costs $0.75, and

qaws [65]

Answer:

1.25x+0.75y>25

x+y>20

Explanation:

Selling 20 cups of lemonade and 15 ice pops will raise enough money to go to the water park.

0.75x+1.25y≥25

8 0

2 years ago

Please help me if you are good at math!

Zanzabum

Answers:
1, 6, 36, 216: Geometric
12, 4, -4, -12: Arithmetic
1, 2, 8, 64: Neither
-216, -72, -24, -8: Geometric

Explanations:
Arithmetic Sequence: Every number in the sequence is either added or subtracted by the same number. We know that 12, 4, -4, -12 is arithmetic because each number in the sequence is subtracted by 8.

Geometric Sequence: Every number in the sequence is either multiplied or divided by the same number. We know that 1, 6, 36, 216 is geometric because each number in the sequence is multiplied by 6. We also know that -216, -72, -24, -8 is geometric because each number in the sequence is being divided by 3.

Neither: 1, 2, 8, 64 is neither because it is not being added, subtracted, multiplied, or divided by the same number.

I hope this helped!

4 0

2 years ago