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balandron [24]
3 years ago
13

Mr. Brookins asked his students to plot an integer on a number line. Which two students could have represented the same

Mathematics
2 answers:
podryga [215]3 years ago
8 0

Answer:

Serena and Aaron

stiv31 [10]3 years ago
6 0

Answer:

aaron and serena

both -5

Step-by-step explanation:

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Use the Going West map in the Understanding Geography book to answer the following question.
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Each Friday, the school prints 400 copies of the school newsletter. The equation c = 400w models the relationship between the nu
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3 years ago
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

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3 years ago
Write the following equation in slope intercept form. y – 3 = -2 (x -5)
Phantasy [73]
This equation is currently in Point Slope Form. You can easily convert this form to Y Slope Intercept by following these steps.

Add 3 to both sides.

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