An initial population of 415 quail increases at an annual rate of 32%. Write an exponential function to model the quail population. What will the approximate population be after 5 years?

Answers

Answer 1

Answer:

Below in bold.

Step-by-step explanation:

The population P will increase by a factor of 1.32 each year.

The function is

P = 415(1.32)^t  where t is the time in years.

After 5 years:

P = 415(1.32)^5  = 1663.


Related Questions

If point A is reflected across both axes, what are the coordinates of the reflected point?

(6, 3)
(-6, 3)
(-6, -3)
(6, -3)

Answers

Answer:

When you are reflecting a point, you are reversing its' axes. In this case, the reflection of (-6,-3) is (6,3).

Step-by-step explanation:

PLEASE MARK BRAINLESS

Find the value of y, rounded to the nearest tenth

Answers

Answer:

3.9 to nearest tenth.

Step-by-step explanation:

Using the theorem of intersecting chords:

9 * y = 5 * 7

y = 35/9

= 3.888...

Answer: Y = 3.9
(Not Rounded: 3.88)

Find the measure of angle k

Answers

Answer:

30

Step-by-step explanation:

Answer: 30 Degrees

Step-by-Step Explanation:

As we know, a line is 180 degrees.

Hence, 65 + 85 + k = 180
= 65 + k = 180 - 85 = 95
=> k = 95 - 65 = 30

Therefore, k = 30

Answer ! And you’ll earn point haha

Answers

Answer: I agree with Marco because he took the least value in the growth of the plant(2) and the greatest value in the growth of the plant 3 1/2 and just subtracted them to get 1 1/2.

Step-by-step explanation:

It's like finding the range.

least is 2 greatest is 3 1/2

3 1/2 - 2= 1 1/2

is this right? pls be fast

Answers

Answer:

first 2 I'm not sure about. for the first one I think its 0.5 if that's an option

A straight line passes through the point (-1,2) and (2,8). Find the equation of the
straight line.

Answers

Answer:

Looking at the question, we are given two points and we need to determine the line that passes through both of these points.  The first step to solving this problem is to find the slope.

[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]slope=\frac{8-2}{2-(-1)}[/tex]

[tex]slope=\frac{6}{2+1}[/tex]

[tex]slope=\frac{6}{3}[/tex]

[tex]slope=2[/tex]

Now that we found the slope, we can move onto the next part which is to use the point-slope formula to determine our correct straight line.

[tex](y-y_1)=m(x-x_1)[/tex]

[tex](y-2)=2(x-(-1))[/tex]

[tex]y-2=2(x+1)[/tex]

[tex]y-2=2x + 2[/tex]

[tex]y- 2 + 2=2x + 2 + 2[/tex]

[tex]y=2x + 4[/tex]

Therefore, our straight line that passes through the two points that were provided in the problem is [tex]y=2x + 4[/tex].

Hope this helps!  Let me know if you have any questions

Evaluate the following expression when t=5 when t^2-2t-2

Answers

Answer:

13

Step-by-step explanation:

Evaluate the following expression when

t=5 when t^2-2t-2

replace t with 5 and remember PEMDAS

5² - 2 * 5 - 2 =

25 - 10 - 2 =

13

Answer:

when t=5

5² - 2×5 -2 = 13

hope it's right

Are EFG and HIJ similar

Answers

Yes, AAA criteria. The corresponding angles are congruent

Answer:

Angle E equals 45 degrees and angle J equals 35 degrees.

If all angles of two triangles match up with one another, then you have yourself a pair of two similar triangles.

Hope it helps, have a fantastic day.

Step-by-step explanation:

We all know from geometry that all the angles of a triangle add up to 180 degrees.

We can form the following equation:

[tex]100 + 35 + E = 180[/tex]

[tex]E[/tex] here represents the measure of angle E.

Add together like terms:

[tex]135 +E = 180[/tex]

Then subtract 135 from both sides:

[tex]E = 45[/tex]

We can, likewise, form another equation for angle J :

[tex]100 + 45 + J = 180[/tex]

Add together like terms:

[tex]145 +J = 180[/tex]

Then subtract 145 from both sides:

[tex]J = 35[/tex]

Angle E equals 45 degrees and angle J equals 35 degrees.

If all angles of two triangles match up with one another, then you have yourself a pair of two similar triangles.

which of the following would be considered a statistical question

1. who was the highest paid athlete in 2020?
2. how much does a gallon of gasoline cost?
3. how many people voted for president in 2016?
4. what are the different types of maple trees?​

Answers

i think question 3 is the answer!!!

The Median of the data set is 18.What number is missing?
12, 17,_, 21, 13,25,

Answers

Answer:

= 15

Step-by-step explanation:

21 + 15 = 36

36/2 = 18

Therefore, 15 is the missing number :33

Answer:

15.

Step-by-step explanation:

There are  6 ( even number) of values in the data so:-

the median is the mean of the 2 middle numbers.

Therefore, we have:

(x + 21)/2 = 18 where x is the missing number.

x + 21 = 2*18

x = 36 - 21 = 15.

(x - 2)² + (y +13)2 = 150
Center:
Radius:

Answers

Answer:

See below

Step-by-step explanation:

Standard form of  h,k centered circle

(x-h)^2 + (y-k)^2 = r^2

for this circle center, h,k = 2,-13    radius = sqrt (150)= 5 sqrt 6

Answer:

Center: (2,-13)

Radius: 12.14744871

Step-by-step explanation:

A sub sandwich shop offers 22 toppings to choose from. How many ways could a person choose a 4 topping sandwich

Answers

Answer: 4 ways because 4 times four is 18

Step-by-step explanation:

Answer: 7315 (i think this is right)

х у
0 -11
1 -8
2 -5
3 -2

The table above represents what type of function?
A. linear

В. linear and nonlinear

C. neither linear nor nonlinear

D. nonlinear

Answers

Answer:

A. Linear

Step-by-step explanation:

As the x value goes up by 1, the y value goes up by 3 each time

The power, P (watts), of a car engine is proportional to the square of its
speed, s(m/s). When s=25, P=1800. Work out the speed (to 1 DP) when the power is 2000 watts.

Answers

The speed when the power is 2000watts is 22.5m/s

Subject of formula

If the power, P (watts), of a car engine is proportional to the square of its

speed, s(m/s), this is expressed as:

P = k/s

When s=25, P=1800 then;

1800 = k/25
k = 25 * 1800
k = 4500

In order to calculate the speed when the power is 2000;

s = k/p
s= 4500/2000
s = 22.5m/s

Hence the speed when the power is 2000watts is 22.5 m/s

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The standard deviation for actuary salaries has a standard deviation of $36,730 . You collect a simple random sample of n=36 salaries and find that x bar = $111,000 . Use this information for both parts. Part 1: What is the lower limit of this 95% confidence interval? (Round to the nearest whole number)

Answers

Using the z-distribution, it is found that the lower limit of the 95% confidence interval is of $99,002.

What is a z-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The other parameters are given as follows:

[tex]\overline{x} = 111000, \sigma = 36730, n = 36[/tex]

Hence, the lower bound of the interval is:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 111000 - 1.96\frac{36730}{\sqrt{36}} = 99002[/tex]

The lower limit of the 95% confidence interval is of $99,002.

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24. Why are alkylating agents not used as antiseptics?

Answers

Answer:

Because alkylating agents effectively sterilize materials at low temperatures but are carcinogenic and may also irritate tissue.

Step-by-step explanation:

Screenshot of the question attatched. please help me

Answers

Rules of Exponents

There are many rules that apply to operations involving exponents. In this question, we'll need the following:

The division rule⇒ [tex]\dfrac{a^n}{a^m}=a^{n-m}[/tex]

Solving the Question

We're given:

[tex]z^{21}\div z^7=z^k[/tex] (solve for k.)

⇒ Rewrite as a fraction:

[tex]\dfrac{z^{21}}{z^7}=z^k[/tex]

⇒ Use the division rule:

[tex]z^{21-7}=z^k\\z^{14}=z^k\\14=k[/tex]

Therefore, the value of k is 14.

Answer

k = 14

The two formats used in an observation checklist are:
A. Video recording and audio recording
B. Performance profiles and Tallies
C. Tallies and video recording
D. Performance profiles and SMART Targets

Answers

Answer:

The two formats used in an observation checklist are:

A. Video recording and audio recording

B. Performance profiles and Tallies

C. Tallies and video recording

D. Performance profiles and SMART Targets

#CarryOnLearning

7) m² - 12m +26=0 find the vertex

Answers

Answer:

(14, -2)

I could totally be wrong though, I haven't done this type of math in years.

Please solve with explanation (high points)

Answers

Answer:

8.1.  h = 17.743514416718 m 8.2. Area of ABCD = 112.912444233369 cm²

Step-by-step explanation:

Q8.

Let h be the height of the flagpole

     x be the distance between point P and the flagpole.

8.1.

tan(53) = h/x

⇒ h = xtan(53)   (1)

On the other hand ,

tan(28) = h/(x+20)

⇒ h = (x+20)tan(28)   (2)

Let’s equate equation so (1) and (2) :

⇒ xtan(53) = (x+20)tan(28)

⇒ x = 20tan(28) ÷ (tan(53) - tan(28)) = 13.370697151775

from (1) , we have :

h = xtan(53)

  = 13.370697151775×tan(53)

  = 17.743514416718

8.2.

Area ABCD = area ABD + area BCD

area ABD = (1/2) AB AD sin(BAD)

                = (1÷2)×11×7×sin(110)

                =36.178165900258

area BCD =  (1/2) DB DC sin(BDC)

firsly , we need to calculate DB (using the law of cosines I need triangle ABD) :

DB² = AB² + AD² - 2AB AD cos(110)

      = 11^2+7^2-2×11×7×cos(110)

      = 222.671102072153

Then

DB = √(222,671102072153)

     = 14.92216814247

Going back ,

area BCD =  (1/2) DB DC sin(BDC)

                = (1÷2)× (14,92216814247)×16×sin(40)

                =76.734278333111

Conclusion :

Area ABCD = area ABD + area BCD

                   = 36.178165900258+ 76.734278333111

                   = 112.912444233369

7th grade end of year Escape! Please HELPPPPPP! i will give 100 points.

Answers

Count the marbles in the jar:

9 spotted ones

6 purple

10 green

25 total


a) 10/25 = 2/5

B) 19/25

C) 9/25 x 9/25 = 81/625

D) 2/5 x 6/25 = 12/125

E) 6/25 x 19/25 = 114/625

F) 6/25 x 5/24 = 1/20

G) 19/25 x 18/24 = 57/100

H) 6/25 x 14/24 = 7/50

john decides to buy a new laptop computer. it is on sale for 20% off and he has a coupon for 15% off the sale price. if sales tax is 6%, how much will john pay

Answers

The price that John would pay for the new laptop after accounting for the sales, price coupon and the sales tax is  0.72p.

What is the price John would pay?

After the sales price and coupon is applied, the price of the laptop would reduce.

Price after the sales price = (1 - 0.2) x p = 0.8p

Price after the coupon = (1 - 0.15) x 0.8p

0.85 x 0.8p = 0.68p

A tax increases the price of the laptop.

Price after the tax = (1 + 0.06) x 0.68p = 1.06 x 0.68p = 0.72p

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What is the area of the triangle in the coordinate plane?


36 units²

38 units²

66 units²

72 units²

Answers

Answer:

36 units

Step-by-step explanation:

area of right angle triangle =1/2* b*h.

by counting the square,b=8 units and h=9 units

therefore,area 1/2* 8units * 9units

1/2*72units^2

36units^3

Need urgent help! Right answer

Answers

Answer:

2,772 m^2

Step-by-step explanation:

First you would need to convert the cm to m before multiplying L times W in order to get the area. 28 x 3 is 84 and 11 x 3 is 33. Then you would multiply 84 x 33 in order to get 2,772.

1. Why is it important to separate experimental groups by a random process?

2. Why is it important to select samples from a population using random selection?

Answers

Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of sample is important in an experiment, that is, to carry it out in a random way.

What is randomization?

Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of sample is important in an experiment, that is, to carry it out in a random way.

If a crop at a certain time of year, for example in summer, is affected by a certain fungus, to know if it is really the time of year that affects this problem, random samples of the same crop with the same characteristics and put it to the test at another time of the year to see if the weather is really a risk factor in the spread of this fungus.

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50 POINTS PLEASE HELP QUICK
The graph of f(x) = (0.5)^x is replaced by the graph of g(x) = (0.5)^x − k. If g(x) is obtained by shifting f(x) down by 2 units, then what is the value of k?
k = 2
k equals one half
k = −2
k equals negative one half

Answers

Answer: 2

Step-by-step explanation:

See attached image

Solve the equation. Need HELP!!!

Answers

Answer:

[tex]m = 0.664[/tex]

Step-by-step explanation:

We were given the equation: [tex]2.1 + 10m = 8.74[/tex]and we were asked to solve for m. Therefore we have to ensure m the subject of the formula.

[tex]2.1 (-2.1) + 10m = 8.74 (-2.1) \\ \\ 10m = 8.74 - 2.1 \\ \\ 10m = 6.64 \\ \\ \frac{10}{10} m = \frac{6.64}{10} \\ \\m = 0.664[/tex]

Answer: Heyaa! :D

Your Answer Is... m= 0.664

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Hopefully this helps you!

-Matthew (HAVE AN AMAZING DAY)

What is the volume of the right triangular prism in cubic meters?

Answers

Answer:

915.78cm

Step-by-step explanation:

you do AxBxCxH

a base side

b base side

c base side

height

all multiplied by each other

hope its correct good luck!

I Find the missing measurement:
40 mi/1 min = ? mi/1 hr

Answers

Answer:

2400mi/1 hr is the

answer

Answer:

2400 miles / per hour

Step-by-step explanation:

40 mi                     X

______          _______________

1 minute   =      1 hr ( 60 minutes)

multiply 1 minute on bottom by 60 to get 60 minutes

so multiply the top by 60 (always do same to top and bottom)

40 mi. x 60 = 2400 miles

Matthew had to make a bridge for his math class. It had to be at least 1 1/2 feet long. Harold made a bridge that was 2 1/3 times as long as Matthew’s. What equation would you use to find out how long Harold’s bridge is? please help

Answers

The equation used for finding the length of Harold's bridge will be [tex]3H-7M=0[/tex] and  Length will be H = [tex]\dfrac{7}{2}[/tex]

What is an equation?

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Here we have the following data:-

Matthew's bridge length is  [tex]=1\dfrac{1}{2}=\dfrac{3}{2}[/tex]

Now we have that Harold made a bridge that was 2 1/3 times as long as Matthew’s. From this data the equation will be:-

[tex]H=2\dfrac{1}{3}M\\\\\\H-\dfrac{7}{3}=0\\\\\\3H-7M=0\\\\\\3H-\dfrac{(7\times 3)}{2}=0\\\\\\H=\dfrac{7}{2}[/tex]

Hence the equation used for finding the length of Harold's bridge will be [tex]3H-7M=0[/tex] and  Length will be H = [tex]\dfrac{7}{2}[/tex]

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