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gtnhenbr [62]
3 years ago
12

I have to write the slope and equation of each line pictured in y = mx + b form.

Mathematics
1 answer:
11111nata11111 [884]3 years ago
5 0

Explanation: You have to pick 2 number's and multiply them. Then you add it to the b side then you get your m.

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Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e0.0205t,wh
svetoff [14.1K]

Answer: a) 236,000.

b) 2021

Step-by-step explanation:

Given : Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e^{0.0205t}    (1)

where t = 0 corresponds to 1980.

Then , for 2009

t= 2009-1980=29

a. ⇒The population of Phoenix in 2009 =  p = 130e^{0.0205(29)}

p = 130e^{0.5945}

p =130(1.81212465608)=235.57620529\approx236

Hence, the population of Orlando in 2009 was about 236,000.

b) Substitute p= 300 in (1) , we get

300 = 130e^{0.0205t}

2.3077= e^{0.0205t} (Divide both sides by 130)

Taking Natural log on both sides,

\ln(2.3077) = 0.0205t\\\\\Rightarrow\ t=\dfrac{\ln(2.3077)}{0.0205}

t=\dfrac{0.836251357528}{0.0205}=40.7927491477\approx41

Hence, The year Orlando will have a population of 300,000 =1980+41 =2021

6 0
3 years ago
A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair. This situation can be de
frez [133]

Answer:

b = 40

Step-by-step explanation:

A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair.

This situation can be described by an equation of the form y=mx+b , where

x = the time in hours

y = the cost in dollars.

What is the value of b in this equation?

A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair

Writing the above in an equation =

y = $70 × x + $40

y = 70x + 40

Therefore, the value of b in the expression = 40

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Select the correct answer. What is the y-intercept of f(x) = 3x+2?
pashok25 [27]

Answer:

The y-intercept is (0, 3)

<em>they typed the equation wrong so that's why it's (0, 3)</em>

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2 years ago
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What is the probability if rolling an 8 with one regular die if you roll the die just once?
lidiya [134]

Answer:

the answer to the probability question should be zero because there isn't an eight on a normal die. if you were to only roll once you would never get 8

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3 years ago
Your bill from Acme Supply Company is marked "3/15, net 30." The amount of the bill is $178.95. If you pay the bill within 15 da
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3/15 means if you pay the bill within 15 you will get a discount by 3%
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178.95−(178.95×0.03)
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