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slega [8]
3 years ago
6

What is the midpoint of the vertical line segment graphed below?

Mathematics
1 answer:
alexgriva [62]3 years ago
8 0

There is a total of 9 spaces between the two.

Meaning that the " 5th" segment is the midpoint.

The answer is : ( 5, -1)

hope it helps you.

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A bacteria culture starts with 12,000 bacteria and the number doubles every 50 minutes.
Vlada [557]

Answer:

a)  y=12000(2)^{\frac{t}{50}}

b)  Approx. 27,569 bacteria

c)  About 103 minutes

Step-by-step explanation:

a)

This will follow exponential modelling with form of equation shown below:

y=Ab^{\frac{t}{n}}

Where

A is the initial amount (here, 12000)

b is the growth factor (double, so growth factor is "2")

n is the number of minutes in which it doubles, so n = 50

Substituting, we get our formula:

y=Ab^{\frac{t}{n}}\\y=12000(2)^{\frac{t}{50}}

b)

To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.

Remember, t is in minutes, so

1 hour = 60 minutes

t = 60

Substituting, we get:

y=12000(2)^{\frac{t}{50}}\\y=12000(2)^{\frac{60}{50}}\\y=12000(2)^{\frac{6}{5}}\\y=27,568.76

The number of bacteria after 1 hour would approximate be <u>27,569 bacteria</u>

<u></u>

c)

To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:

y=12000(2)^{\frac{t}{50}}\\50,000=12,000(2)^{\frac{t}{50}}\\4.17=2^{\frac{t}{50}}\\Ln(4.17)=Ln(2^{\frac{t}{50}})\\Ln(4.17)=\frac{t}{50}*Ln(2)\\\frac{t}{50}=\frac{Ln(4.17)}{Ln(2)}\\\frac{t}{50}=2.06\\t=103

After about 103 minutes, there will be 50,000 bacteria

4 0
3 years ago
Find the least 2-digit whole number N so that the sum 2^9+2^4+N is a perfect square.
oksano4ka [1.4K]

Answer:

N=48

Step-by-step explanation:

2^9+2^4+48=576

576 is a perfect square

3 0
2 years ago
Each of the 25 students in Mr. McDonald class sold 16 raffle tickets if each ticket cost $15 how much money did Mr. McDonald’s s
Anna [14]

25 * 16 = 400 tickets were sold

400 * $15 = $6000 was raised

7 0
3 years ago
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The sum of two consecutive integrates is no more than 209. What is the larger of the two integers?
UNO [17]

Answer:

105 is the larger of the two integers

Step-by-step explanation:

104+105=209

104 and 105 are consecutive and their sum is no more than 209

8 0
3 years ago
2 de secundaria pajina 25 contestada<br>​
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I don’t know i don’t speak spanish
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