Question 4
1 pts
An initial population of 910 quail increases at an annual rate of 20%. Write an exponential function to model the quail
population.

Answers

Answer 1

Answer:

910*(1.2)^t

Step-by-step explanation:

Given data

Initial population= 910 quail

Rate= 20%

Let us use the model below

A= P(1+r)^t

r= 0.2

A= 910(1+0.2)^t

A= 910*(1.2)^t

Hence the expression to model the population is  910*(1.2)^t

Answer 2

An initial population of 910 quail increases at an annual rate of 20%.

So,

910*(1.2)^t

Step-by-step explanation:

Given data

Initial population= 910 quail

Rate= 20%

Let us use the model below

A= P(1+r)^t

r= 0.2

A= 910(1+0.2)^t

A= 910*(1.2)^t

Hence the expression to model the population is 910*(1.2)^t.

What is the exponential function?

An exponential function is a mathematical function of the following form: f ( x ) = an x. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e, which is equal to approximately 2.71828.

Learn more about exponential function at

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Related Questions

Which drink has more sugar per fluid ounce? 50 POINTS

Answers

it would be drink a.

HELPPP!!! PLEASEEEEEEE

Answers

Answer:

Step-by-step explanation:

37

What is A number divided by 82

Answers

Answer:

Hey there, Lets solve this step by step.  

A number t divided by 82  

Let the number be represented by y.  

t divided by 82 = t / 8  

Therefore-  

 

In algebraic expressions, "y" is normally used as the dependent variable and "x" is normally used as the independent variable, instead of other variables. So that is why i used the variable y in the equation.

Step-by-step explanation:

A number divided by 82 is 8

The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time t and has a half-life of 3.3 hours. If 1 gram of this isotope is present initially, how long will it take for 70% of the lead to decay? (Round your answer to two decimal places.)

Answers

Answer:

5.73 hours

Step-by-step explanation:

70% decay means 30% remains

.3 = (1/2)^(t/3.3)

take the log of both sides

log.3 = t/3.3 * log1/2

Divide both sides by log 1/2

log.3 / log1/2 = t/3.3

use calculator

1.736965594166206 = t/3.3

multiply both sides by 3.3

5.73198646074848 = t

rounded

t = 5.73 hours

if 4 labourers can finish a job in 6days how long would it take 3men to do the job

Answers

Answer:

yes do have in an any job that occurred the an evrey one to know you.

Answer:

8 days

Step-by-step explanation:

no of men                                             no of days

4                                                                   6

3                                                                     let be x

there is indirect variation

4/3=6/x

since it is in indirect variation do the reciprocal of any one fraction among these two fractions

4/3=x/6

do cross multiplicatin

3*x=6*4

x=24/3

x=8

therefore it take 8 days to complete the same work by 3 men.

-58
a
Simplify:
6
A
a4066
B
a1362
alb
D
a 40648

Answers

Answer:

wait ill work this out for you

Step-by-step explanation:

Write 5/14 with denominator 28

Answers

Answer:

10

Step-by-step explanation:

if you multiply 14 by 2 you get 28, therefore you have to multiply the numerator by 2 also, which gives you 10

Answer:

10/28

Step-by-step explanation:

5/14 = x/28

See that 28 is 14*2

So multiply 14*2 to get 28, and 5 * 2 to get 10

5 / 14 * 2/2 = 10 / 28

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

he graph shows the total number of participants in a town's recreation program at the end of every year since the year 2000.

The line of best fit for the data is given by the equation y=13x+50, where y is the total number of participants x years after the beginning of the year 2000.

Which statement correctly interprets the slope of the line of best fit?

The rate of change is 1 new participant every 13 years.

The rate of change is 13 new participants every 13 years.

The rate of change is 13 new participants every year.

The rate of change is 50 new participants every year.

Answers

Answer:

The rate of change is 13 new participants every year.

Step-by-step explanation:

y=13x+50

This is in the form y = mx+b  where m is the slope and b is the y intercept

x is the number of years so for every year increase we gain 13 new participants

When 390 junior college students were surveyed,115 said that they have previously owned a motorcycle. Find a point estimate for p, the population proportion of students who have previously owned a motorcycle.

a. 0.705
b. 0.228
c. 0.295
d. 0.418

Answers

Answer:

0.2948 ≅ 0.295

Step-by-step explanation:

According to the Question,

Given, 390 junior college students were surveyed,115 said that they have previously owned a motorcycle .

So, the population proportion of students who have previously owned a motorcycle is 115/390 ⇔ 0.2948 ≅ 0.295

PRE-ACTIVITIES/PRE-TEST
5. A tyF
ASK #1
Directions: Draw a star (★) if the statement
lescribes the effects of typhoons and a circle (•) if it is not. Write your answers
1 your notebook.
a. less
b.fror
c.gre
d.gr
(P
th
U
1. The farmers' crops are destroyed when there are heavy rains which
result to flooding.
2. Loss of lives and damage to properties happen due to fiooding and
landslides
3. Thousands of families become homeless.
4. Fishermen can go fishing and abundant catch awaits them.
5. The power supply is cut off for several days as falling trees destroy the
electric posts and power lines.
6. People lose their homes and means of livelihood.
7. The prices of basic commodities become cheaper.
8. People visit malls for shopping.
9. A few houses of first-class materials are partially damaged,
10. Children play on the playground.​

Answers

Answer:

Step-by-step explanation:

★1. The farmers' crops are destroyed when there are heavy rains which

result to flooding.

★2. Loss of lives and damage to properties happen due to fiooding and

landslides

★3. Thousands of families become homeless.

•4. Fishermen can go fishing and abundant catch awaits them.

★5. The power supply is cut off for several days as falling trees destroy the

electric posts and power lines.

★6. People lose their homes and means of livelihood.

•7. The prices of basic commodities become cheaper.

•8. People visit malls for shopping.

•9. A few houses of first-class materials are partially damaged,

•10. Children play on the playground.

what type of triangle measuring 60cm, 100 cm, 40 cm

Answers

Answer:

Not a triangle

Step-by-step explanation:

Not a triangle.

The sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.

40 + 60 is not greater than 100

therefor it is not a triangle

PLEASE HELP ME !!!! WILL GIVE BRAINLIEST TO WHOEVER ANSWERS CORRECTLY

Answers

Answer:

Ok Its not that hard actually

Step-by-step explanation:

but still too much for me plz give brainliest to meee

Answer:

21

Step-by-step explanation:

4x-2=3x+19

4x-3x=19+2

x=21

Find the 7th term of the geometric sequence: 4, 14, 49, ...

Answers

Answer:

Step-by-step explanation:

[tex]a_2=a_1*r=>14=4*r=>r=\frac{7}{2}\\a_n=a_1*r^{n-1}=>a_7=a_1*r^{7-1}=4*(\frac{7}{2})^6=\frac{117649}{16}\\\\a_7=\frac{117649}{16}[/tex]

what is the system of equations shown in the graph?

Answers

Answer:

bugo.ka pag answer bobo ka bah ha wag kanang umasa dito piste ka

HELP PLZ ALMOST DONE!!!

Answers

Answer:

A = 30 inches^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2)h  where b1 and b2 are the lengths of the bases

A = 1/2 ( 10+5) * 4

A = 1/2 (15)*4

A = 30 inches^2

Answer:

Area of trapezoid is 30 inches ².

Step-by-step explanation:

Question :-

A trapezoid having length of Base ¹ and Base ² are 10 in. and 5 in. and it's height is 4 in. Find the area of trapezoid.

Solution :-

Area of trapezoid is given by

= 1/2 × ( B¹ + B² ) × h

Where, B¹ = 10 in.

B ² = 5 in.

h = 4 in.

substitute the values

Area = 1 / 2 × ( 10 in × 5 in ) × 4 in

multiplying the values

Area = 1 / 2 × 15 in. × 4 in

Area = 1 / 2 × 60 in ².

Area = 30 in².

Hence, Area of trapezoid is 30 inches ².

Among 35 students in a class, 20 of them earned A's on the midterm exam, 13 earned A's on the nal exam, and 12 did not earn A's on either examination. What is the probability that a random

Answers

Answer:

The correct answer is "[tex]\frac{2}{7}[/tex]".

Step-by-step explanation:

According to the question,

Number of students,

= 35

A ! mid term A,

[tex]n(A) = 20[/tex]

B : final A,

[tex]n(B) = 13[/tex]

Didn't start,

[tex]n(A^c \cap B^c) = 12[/tex]

Now,

⇒ [tex]n(A \cup B)=35-12[/tex]

                   [tex]=23[/tex]

then,

⇒ [tex]n(A \cup B)=20+13-23[/tex]

                   [tex]=10[/tex]

hence,

The probability will be:

⇒ [tex]P(A \cap B)=\frac{10}{35}[/tex]

⇒                 [tex]=\frac{2}{7}[/tex]

I can't find the surface area lol
n=3.14​

Answers

Answer:

216 square feet

Step-by-step explanation:

The formula for the surface area of a rectangular prism is:

2 (lw + hl + hw)

w= width

h= height

l= length

Use the formula with the given dimensions:

2 (6 • 2 + 12 • 6 + 12 • 2)

= 2 (12 + 72 + 24)

= 2 (108)

= 216

Surface area is measured in square feet

(feet in this case)

Hope this helps

5338 wins in 34 years

Answers

Answer:

is that a question?????????????

Answer: 157 wins per year

Explanation: 5338 wins /34 years

Find all the zeros of f(x) = 2x - 5x² - 4x + 10.

Answers

Answer:

10

Step-by-step explanation:

Plug in 0 where x is

See image below:)

What is the pattern?
2x = 3.5
3x = 2.5
4x = 2
5x = ?
6x = 1.6666
7x =
8x =
9x =
10x =
11x =
12x = 1.4166​

Answers

Answer:

I don't know sorry for your right question ok

PLEASE HELP I WILL GIVE BRAINLIEST TO THE FIRST PERSON THAT ANSWER PLEASE

Answers

Answer:

[tex]a) x = k \times \frac{1}{y^2} \ , \ where \ k \ is \ a \ constant\\\\b) x = 3, \ when\ y\ =\ 10\\\\c) y = 10, \ when \ x = 3[/tex]

Step-by-step explanation:

a)

[tex]x \ \alpha \ \frac{1}{y^2}\\\\x = k \times \frac{1}{y^2}\\\\[/tex]                [tex][ \ where \ k \ is \ a \ constant \ ][/tex]

Find k.

Given x = 12, y = 5,

[tex]12 = k \times \frac{1}{5^2}\\\\k = 12 \times 25 = 300[/tex]

b)

Find x.

Given y = 10

We have k = 300

[tex]x = k \times \frac{1}{y^2}\\x = 300 \times \frac{1}{10^2} \\\\x= \frac{300}{100} = 3[/tex]

c)

Find y

Given x = 3

We have k = 300

[tex]x = k \times \frac{1}{y^2}\\\\3 = 300 \times \frac{1}{y^2}\\\\\frac{1}{y^2} = \frac{3}{300}\\\\\frac{1}{y^2} = \frac{1}{100}\\\\y^2 = 100\\\\y = \sqrt{100} = 10[/tex]

2 times the sum of a number and 9 equals 4​

Answers

Answer

Step-by-step explanation:

The volume of a particular die is 6000 mm. Use the fact that 10 mm equals 1 cm to convert this
volume to cm.​

Answers

Answer:

600 cm³

Step-by-step explanation:

6000 mm/10 mm = 600 cm

Which of the following rational functions is graphed below?
A. F(x) =1/(x-4)^2
B. F(X) =1/(x + 4)^2
C. F(X) = 1/4x^2
D. F(x) = 4/x^2

Answers

Answer to your question is B. f(x)= 1/(x+4)^2

The equation of the rational function is f(x) = 1/(x + 4)^2

How to determine the graph?

From the figure, we have the following property:

Vertical asymptote at;

x = -4

Add 4 to both sides

x + 4 = 0

Square both sides

(x + 4)^2 = 0

The above means that the denominator of the equation of the graph is (x + 4)^2

So, we have:

f(x) = 1/(x + 4)^2

Hence, the equation of the rational function is f(x) = 1/(x + 4)^2

Read more about rational function at:

https://brainly.com/question/1851758

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If x = -3 and y = 4x - 1, then y equals what number

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{y = 4x - 1}[/tex]

[tex]\large\text{If x= -3, then substitute it into the given equation}[/tex]

[tex]\large\textsf{y = 4(-3) - 1}[/tex]

[tex]\large\textsf{4(-3) = \boxed{\bf -12}}[/tex]

[tex]\large\textsf{y = -12 - 1}[/tex]

[tex]\large\textsf{-12 - 1 = y}[/tex]

[tex]\large\textsf{-12 - 1 = \boxed{\bf -13}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf y = -13}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Problem:

If x = -3 and y = 4x - 1, then y equals what number?

[tex] \quad \quad \quad \quad\tt{y = 4x - 1}[/tex]

[tex] \quad \quad \quad \quad\tt{y = 4( - 3) - 1}[/tex]

[tex] \quad \quad \quad \quad\tt{y = (- 12)- 1}[/tex]

[tex] \quad \quad \quad \quad\tt{y = - 13}[/tex]

Hence, The value of y is:

[tex] \quad \quad \quad \quad \boxed{\tt \color{green}{y = - 13}}[/tex]

______

#LetsStudy

Define the word term

Answers

a word or phrase used to describe a thing or to express a concept, especially in a particular kind of language or branch of study.

Answer:

A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted.

hope this helps

have a good day :)

Step-by-step explanation:

Max has 4/5 qt of apple juice. He drinks 1/2 qt of it. How many apple juice does he have left? (Give your answer in quarts)

Answers

FIND lowest common denominator:

4/5 1/2
8/10 & 5/10

He drank 5/10 of apple juice.

Answer: 3/10qt of apple juice is left

405, 397,389, ...
Find the 31st term.

Answers

157
Explanation:
The pattern seems to have a difference of 8 between each number. Thus, 8 x 31 is 248. The starting term, 405 is the subtracted by 248. Then the 31st term is found which is 157.
Hope this helped. :)

In circle Q, the mLKM is 255º. Find the measurement of

Answers

Hope this help!!!

Have a nice day!!!

A survey conducted by General Motors of 38 drivers in America, 34 indicated that they would prefer a car with a sunroof over one without. When estimating the proportion of all Americans who would prefer a car with a sunroof over one without with 99% confidence, what is the margin of error

Answers

Answer:

The margin of error is of 0.1282 = 12.82%.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

A survey conducted by General Motors of 38 drivers in America, 34 indicated that they would prefer a car with a sunroof over one without.

This means that [tex]n = 38, \pi = \frac{34}{38} = 0.8947[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

What is the margin of error?

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 2.575\sqrt{\frac{0.8947*0.1053}{38}} = 0.1282[/tex]

The margin of error is of 0.1282 = 12.82%.

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