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Vaselesa [24]
2 years ago
15

Write the word sentence as an inequality. Then solve the inequality.

Mathematics
2 answers:
shepuryov [24]2 years ago
8 0
6x ≥ -24

x = -4 but I think

x ≥ -4
shusha [124]2 years ago
6 0

Answer:

6x \geq -24

x = -4

Step-by-step explanation:

There's not really much work that goes into this problem.

<em>First, you have to get the variable by itself. To do that you do the opposite of multiplication which is division. 6 divided by 6 = 0. Since you did that to one side you have to do it to the other. -24 divide by 6 = -4. So, x = -4.</em>

<em />

I hope this helped!

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An advertising company designs a campaign to introduce a new product to a metropolitan area of population 3 Million people. Let
Advocard [28]

Answer:

P(t)=3,000,000-3,000,000e^{0.0138t}

Step-by-step explanation:

Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have

P'(t)=K(3,000,000-P(t))

Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising

<em>P(0) = 0 and P(50) = 1,500,000 </em>

We have and ordinary differential equation of first order that we can write

P'(t)+KP(t)= 3,000,000K

The <em>integrating factor </em>is

e^{Kt}

Multiplying both sides of the equation by the integrating factor

e^{Kt}P'(t)+e^{Kt}KP(t)= e^{Kt}3,000,000*K

Hence

(e^{Kt}P(t))'=3,000,000Ke^{Kt}

Integrating both sides

e^{Kt}P(t)=3,000,000K \int e^{Kt}dt +C

e^{Kt}P(t)=3,000,000K(\frac{e^{Kt}}{K})+C

P(t)=3,000,000+Ce^{-Kt}

But P(0) = 0, so C = -3,000,000

and P(50) = 1,500,000

so

e^{-50K}=\frac{1}{2}\Rightarrow K=-\frac{log(0.5)}{50}=0.0138

And the equation that models the number of people (in millions) who become aware of the product by time t is

P(t)=3,000,000-3,000,000e^{0.0138t}

5 0
3 years ago
If you charge $10.25 an hour how many hours do you need to work to earn $8,425
alexandr1967 [171]
822 hours. 10.25x822 is $8,425.50.


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3 years ago
In the United States, it is possible for someone to give a gift up to how much money per year to another person without that mon
Zielflug [23.3K]

Answer:

I believe the correct answer is $10,000. I'm not positive, though.

3 0
2 years ago
Read 2 more answers
Iris charges a fee for her consulting services plus an hourly rate that is 1 1/5 times her fee. On a 7-hour job, Iris charged $4
Kryger [21]

470/7= 67.14......

67.14 was her fee

67.14 * 1.5 = 100.71

100.71 is her hourly rate


8 0
3 years ago
The low temperatures in Anchorage, Alaska, for a week were − 6, − 3, − 1, 1, − 3, − 9, and − 14 degrees Celsius. What two temper
Inessa05 [86]

The two temperatures could be removed so that the average of the remaining numbers is the same as the average of the original set of numbers are -1 and -9

Step-by-step explanation:

The formula of the average of a set of data is A=\frac{S}{N} , where

  • S is the sum of the data in the set
  • N is the number of the data in the set

∵ The low temperatures in Anchorage, Alaska, for a week were

   − 6, − 3, − 1, 1, − 3, − 9, and − 14 degrees Celsius

∴ The set of the data is { -6 , -3 , -1 , 1 , -3 , -9 , -14}

- Add the data in the set

∵ S = -6 + -3 + -1 + 1 + -3 + -9 + -14

∴ S = -35

∵ The set has 7 data

∴ N = 7

- Use the formula of the average above to find it

∴ A=\frac{-35}{7}

∴ A = -5

∴ The average of the original set of numbers is -5

To keep the average the same after removing two numbers multiply the average by the new number of data to find the new sum

∵ The number of data after removing two numbers is 5

∴ N = 5

∵ A = -5

- By using the rule of average

∴ -5=\frac{S}{5}

- Multiply both sides by 5

∴ -25 = S

∴ The new sum is -25

- Lets find which two numbers of have a sum of -10 because

   the difference between -35 and -25 is -10

∵ -1 + -9 = -10

∵ -6 + -3 + 1 + -3 + -14 = -25

∴ We could removed -1 and -9

The two temperatures could be removed so that the average of the remaining numbers is the same as the average of the original set of numbers are -1 and -9

Learn more:

You can learn more about the average in brainly.com/question/10764770

#LearnwithBrainly

7 0
3 years ago
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