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Morgarella [4.7K]
3 years ago
8

What is the interval notation for the compound inequality?

Mathematics
1 answer:
ZanzabumX [31]3 years ago
6 0
7 beacuse 7 is bigger then 3 I think I took this quiz but got a bad grade
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-5x - 5y + 4x - (2y + 3)
Dafna11 [192]

Step-by-step explanation:

-5x - 5y + 4x - (2y + 3)

= - 5x + 4x - 5y - (2y + 3)

= - x - 5y - 2y - 3

= - x - 7y - 3 ( Answer )

5 0
3 years ago
Read 2 more answers
World poultry production was 77.2 million tons in the year 2004 and increasing at a continuous rate of 1.6% per year. Assume tha
dezoksy [38]

Answer:

A) P(t)=77.2\cdot e^{0.016t}

B) 89.157 million tons.

C) In year 2017.

Step-by-step explanation:

We have been given that world poultry production was 77.2 million tons in the year 2004 and increasing at a continuous rate of 1.6% per year.

A). We know that a continuous growth function is in form y=a\cdot e^{kx}, where,

a = Initial value,

k = Growth rate in decimal form.

1.6\%=\frac{1.6}{100}=0.016

Upon substituting our given values, we will get:

P(t)=77.2\cdot e^{0.016t}

Therefore, our required function would be P(t)=77.2\cdot e^{0.016t}, where, P represents world poultry production, in million tons, as a function of the number of years, t, since 2004.

B) To find the world poultry production in the year 2013, we will substitute t=2013-2004=9 in above formula as:

P(9)=77.2\cdot e^{0.016(9)}

P(9)=77.2\cdot e^{0.144}

P(9)=77.2\cdot 1.1548841085249135

P(9)=89.1570531781\approx 89.157

Therefore, the world poultry production in the year 2013 would be 89.157 million tons.

C) To find the number of years it will take for world poultry production to be over 95 million tons, we will equate our function with 95 as:

95=77.2\cdot e^{0.016t}

Divide both sides by 77.2:

1.2305699481865285=e^{0.016t}

Take natural log of both sides:

\text{ln}(1.2305699481865285)=\text{ln}(e^{0.016t})

\text{ln}(1.2305699481865285)=0.016t\text{ln}(e)

0.20747743456981035=0.016t*1

Divide both sides by 0.016:

t=12.9673396606

t\approx 13

Therefore, 13 years after in 2017 world poultry production goes over 95 million tons.

4 0
3 years ago
The function y=-0.25+1 represents the percent y (in decimal form)  A battery power remaining x hours after you turn on the lap
Dmitry [639]

Answer:

The slope is -0.25. This means that the power reduces by 0.25 percent per hour

Step-by-step explanation:

Given

y = -0.25x + 1

Required

Identify and interpret the slope

An equation has a general form:

y = mx + b

Where

m = slope

Compare y = mx + b to y = -0.25x + 1

We have:

mx = -0.25x

Divide both sides by x

\frac{mx}{x} = \frac{-0.25x}{x}

m = \frac{-0.25x}{x}

m = -0.25

Because the result of the above calculation is negative, it means that the function reduces

<em>The given function measures the percentage of power by hour.</em>

<em>So, the power reduces by 0.25% per hour</em>

5 0
3 years ago
Circle C is inscribed in triangle QSU. Circle C is inscribed in triangle Q S U. Points R, T, and V of the circle are on the side
gladu [14]

Answer:

the awnser is 40 units

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The electrical resistance of aire is directly proportional to its length. If a 45-foot long wire has a resistance of 9 ohm(s), f
wolverine [178]
The resistance is proportional to the length.
You know that 45/9=5
So the ratio (proportionality) is 5.
So, for a 75 ft wire, the resistance is 75/5 = 15 ohms
8 0
3 years ago
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