Answer:
7 feet
Step-by-step explanation:
Oak tree = x
14 : x as 60 : 30
Simplify the right ratio
14 : x as 2:1
Get the same first number in both ratios by multiplying 2:1 by 7
14 : x as 2(7) + 1(7)
14 : x as 14 : 7
Since the first number in each ratio is the same, we know that that x and 7 are equal
x = 7
Hope this helps, feel free to let me know if you would like a further explanation :)
The ticket price that would maximize the total revenue would be $ 23.
Given that a football team charges $ 30 per ticket and averages 20,000 people per game, and each person spend an average of $ 8 on concessions, and for every drop of $ 1 in price, the attendance rises by 800 people, to determine what ticket price should the team charge to maximize total revenue, the following calculation must be performed:
- 20,000 x 30 + 20,000 x 8 = 760,000
- 24,000 x 25 + 24,000 x 8 = 792,000
- 28,000 x 20 + 28,000 x 8 = 784,000
- 26,000 x 22.5 + 26,000 x 8 = 793,000
- 27,200 x 21 + 27,200 x 8 = 788,000
- 26,400 x 22 + 26,400 x 8 = 792,000
- 25,600 x 23 + 25,600 x 8 = 793,600
- 24,800 x 24 + 24,600 x 8 = 792,000
Therefore, the ticket price that would maximize the total revenue would be $ 23.
Learn more in brainly.com/question/7271015
If each of them got 1/3 of the deck then they would each get 7 cards
Answer:
- <u>Question 1:</u>
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- <u>Question 2:</u>
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- <u>Question 3:</u>
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- <u>Question 4:</u>
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Explanation:
<u>Question 1: Write down the differential equation the mass of the bacteria, m, satisfies: m′= .2m</u>
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a) By definition: 
b) Given: 
c) By substitution: 
<u>Question 2: Find the general solution of this equation. Use A as a constant of integration.</u>
a) <u>Separate variables</u>

b)<u> Integrate</u>


c) <u>Antilogarithm</u>



<u>Question 3. Which particular solution matches the additional information?</u>
<u></u>
Use the measured rate of 4 grams per hour after 3 hours

First, find the mass at t = 3 hours

Now substitute in the general solution of the differential equation, to find A:

Round A to 1 significant figure:
<u>Particular solution:</u>

<u>Question 4. What was the mass of the bacteria at time =0?</u>
Substitute t = 0 in the equation of the particular solution:

Answer:
- The value of 0.9* 10² is <u>D</u><u>.</u><u>9</u><u>0</u><u>.</u>
- <u>4</u><u>*</u><u>(</u><u>1</u><u>2</u><u>-</u><u>8</u><u>)</u><u>+</u><u>2</u><u>³</u>
a.
<u>False</u><u> </u><u>:</u><u> </u><u>it</u><u> </u><u>is</u><u> </u><u>to</u><u> </u><u>add</u><u> </u><u>1</u><u>6</u><u>+</u><u>8</u>
<u>b</u><u>.</u>
<u>False</u><u> </u><u>:</u><u> </u><u>its</u><u> </u><u>8</u><u>.</u>
<u>c</u><u>.</u>
<u>True</u><u>.</u>
<u>d</u><u>.</u>
<u>False</u><u> </u><u>:</u><u> </u><u>its</u><u> </u><u>2</u><u>4</u><u>.</u>
<u>3</u><u>.</u>
<u>side</u><u> </u><u> </u> of cube [a]=2ft
volume of cube [V]=a³=2³=8ft³
<u>He</u><u> </u><u>needs</u><u> </u><u>1</u><u> </u><u>bag</u><u> </u><u>to</u><u> </u><u>buy</u><u>.</u><u>As</u><u> </u><u>its</u><u> </u><u>volume</u><u> </u><u>is</u><u> </u><u>equal</u><u>.</u>