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AVprozaik [17]
4 years ago
9

Suppose a spherical balloon grows in such a way that after t seconds, its volume is V = 4 sqrt(t) cm3.

Mathematics
1 answer:
chubhunter [2.5K]4 years ago
3 0
The volume at time <span>t = 25 seconds
since </span><span> V = 4 sqrt(t) cm3, 
 V(5)= 4*</span><span>sqrt(25)cm^3=4*5=20cm^3</span>
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PSYCHO15rus [73]

Answer:

A

12+7x=a

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B 12+7x=a

Step-by-step explanation:

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7 0
3 years ago
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1.The population of the world is approximately 6200 million people. It is increasing by approximately 93 million people each yea
STALIN [3.7K]
The fraction can simplify down to \frac{93}{6200} convert it to a fraction and the yearly increase is 1.5%

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8 0
3 years ago
On a certain​ route, an airline carries 8000 passengers per​ month, each paying ​$70.A market survey indicates that for each​ $1
son4ous [18]

Answer:

The maximum revenue is $661,250.

Step-by-step explanation:

The total revenue (R) is the product between the number of passengers (N) and the price of each ticket (P), so the inicial revenue is:

R = N * P = 8000 * 70 = $560,000

For each 1$ increase in the ticket, the airline loses 50 passengers, so if we call "x" the increase in the ticket price, we have that the revenue equation will be:

R = (8000-50*x) * (70+x) = 560000 + 8000*x - 50*70*x -50x2

R = -50*x2 + 4500*x + 560000

The value of x that gives the maximum value of a quadratic function is found using the formula:

x = -b/2a

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So the value of x that gives the maximum revenue is:

x = -4500 / (-100) = 45

Using this value in the revenue equation, we have that the maximum R is:

R = -50*45^2 + 4500*45 + 560000 = $661,250

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3 0
3 years ago
Match the reasons with the statements in the proof.
Len [333]

Observe the given figure.

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To prove: l \parallel m

Statement                                                      

1.  m \angle 1 = m \angle 3, m \angle 2 = m \angle 3

Reason: Given

2. m \angle 1 = m \angle 2

Reason: Substitution

3. \angle 1,\angle 2 are alternate interior angles.

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Irina-Kira [14]

Answer:

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Step-by-step explanation:

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