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const2013 [10]
3 years ago
12

A population of bacteria is changing exponentially according to the function below. How can you describe the bacteria population

? Select all possible correct answers.
B(t)=400(1.4)^0.8t +2

A) The population is always positive
B) The population is decaying
C) The population is growing
D) The population is approaching a constant value
Mathematics
1 answer:
Hitman42 [59]3 years ago
3 0
A, it's always positive because B(0) = 400
C, the population is growing. you can tell because the base is the rate of growth 1.4 > 1
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Afina-wow [57]
<h3><u>Answer:</u></h3>

Option: C is the correct answer.

c) the coefficient of x is positive

<h3><u>Step-by-step explanation:</u></h3>

We know that graph of a line goes up and to the right when the coefficient of x is positive.

Since we know that when a line goes up and to the right this means that the line is increasing and hence we will get a positive slope of the line and we know that the slope intercept of a line is given as:

y=mx+c

as m is positive this means that:

the coefficient of x is positive.

Hence, the correct answer is:

c) the coefficient of x is positive

4 0
3 years ago
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Print Version
san4es73 [151]

Answer:

$9450

Step-by-step explanation:

We will use compound interest formula:

F=P(1+r)^t

Where

F is future amount [what we want to figure out]

P is present amount [9000]

r is rate of interest [since we want for 6 months, the annual interest divided by 2 is r. So r = 10/2 = 5% or 0.05]

t is the time [ the time period is for 6 months so t = 1 since we already converted the interest rate to 6 month chunk]

Putting in formula, we get:

F=P(1+r)^t\\F=9000(1+0.05)^1\\F=9000(1.05)\\F=9450

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3 years ago
Find the difference between the two numbers on a number line -7 1/5 and -4 2/3
morpeh [17]

Answer:

do the rest urself

Step-by-step explanation:

-7 1/5= -36/5

-4 2/3= -14/3

-14/3-(-3

6 0
3 years ago
Ms.Cody needs 1 3/4 yards of fabric to make one pillow.How many yards of fabric will she needs to make 12 pillows
Hunter-Best [27]

Answer:

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Step-by-step explanation:

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3 years ago
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Oksana_A [137]

Answer:

25

Step-by-step explanation:

Given the indicinal equation

5^-1/5^-3

According to one of the law of indices, if a, b, m and n are integers then;

a^m/a^n = a^(m-n)

When the base are equal, the powers will be subtracted.

Applying this formula to the given expression

5^-1/5^-3

= 5^{-1-(-3)}

= 5^(-1+3)

= 5^2

= 25

Therefore the answer is 25

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