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3 years ago

8

Please help will get brainliest

1 answer:

professor190 [17]3 years ago

6 0

308cm 2

V =14 V-6=8 - =22
K+K=14
22 x 14 =308

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In a field study, a scientist was predicting the insect population. The initial amount of insects in the area was 15,000. The sc

Mila [183]

The estimated population, if the rate is a growth rate is 34696 populations

The estimated population, if the rate is a decline rate is 5657 populations

<h3> Exponential functions</h3>

The standard exponential equation is expressed as $y = ab^x$

where;

a is the intercept
b is the growth rate
x is the time taken

If the initial population is 15,000 with a rate of 15%, then;

a) If the rate is a growth rate, the estimated population will be expressed as;

$y = 15000(1+0.15)^{6}\\y=15000(1.15)^6\\y = 15000(2.313)\\y \approx 34,696$

The estimated population, if the rate is a decline rate is 34696 populations

b) If the rate is a decline rate, the estimated population will be expressed as;

$y = 15000(1-0.15)^{6}\\y=15000(0.85)^6\\y = 15000(0.37715)\\y \approx 5,657$

The estimated population, if the rate is a decline rate is 5657 populations

Learn more on exponential function here: brainly.com/question/12940982

6 0

3 years ago

Suppose that a Petri dish initially contains 2000 bacteria cells. An antibiotic is introduced and after 4 hour, there are now 16

Sergeu [11.5K]

Answer:

a)The linear function for $P(t)$ is:

$P(t) = 2000 - 100*t$

b)The exponential function for $P(t)$ is:

$P(t) = 2000e^{-0.055t}$

Step-by-step explanation:

(a) Suppose that P(t) is a linear function. Find a formula for P(t):

$P(t)$ can be modeled by a linear function in the following format.

$P(t) = P_{0} - r*t$ , in which $P_{0}$ is the initial number of bacteria cells in the dish, t is the time and r is the rate that the number decreases.

Since the dish initially contains 2000 bacteria cells, $P_{0} = 2000$

We have

$P(t) = 2000 - r*t$

An antibiotic is introduced and after 4 hour, there are now 1600 bacteria cells present. So $P(4) = 1600$ . With this information, we can find the value of r.

$P(t) = 2000 - r*t$

$1600 = 2000 - r*(4)$

$4r = 400$

$r = \frac{400}{4}$

$r = 100$

So, the linear function for $P(t)$ is:

$P(t) = 2000 - 100*t$

b) Suppose that P(t) is an exponential function. Find a formula for P(t)

$P(t)$ can also be modeled by an exponential function in the following format:

$P(t) = P_{0}e^{rt}$

The values mean the same as in a). We use the fact that $P(4) = 1600$ to find r.

$P(t) = 2000e^{rt}$

$1600 = 2000e^{4r}$

$e^{4r} = \frac{1600}{2000}$

$e^{4r} = 0.8$

$ln e^{4r} = ln 0.8$

$4r = -0.22$

$r = \frac{-0.22}{4}$

$r = -0.055$

So, the exponential function for $P(t)$ is:

$P(t) = 2000e^{-0.055t}$

5 0

4 years ago

There were 65 people waiting in two lines to buy a snowball ice drink .there were join in the line by 11 more people a total of

ASHA 777 [7]

Answer:

67

Step-by-step explanation:

7 0

4 years ago

Please help me out and make sure to show your work! thanks

Sauron [17]

Answer:

1075 sq ft

Step-by-step explanation:

There are a few ways to do this but I am only going to show one.

35 x (25 + 8) - (5 x 8 + 8 x 5) = 1155 - 80 = 1075

8 0

3 years ago

ANSWERRRR<3 5. It took 12 reams of paper to produce 500 pamphlets. How many reams can produce 48

tensa zangetsu [6.8K]

Answer:6

Step-by-step explanation:

500/12 is 41 so therefore you do 48/12 is 6.

3 0

4 years ago

Read 2 more answers