A study of the annual population of bees in a county park shows the population, B(t),
is declining due to pesticide usage and can be represented by the function
B(t) = 1872(.83)*, where the t represents the number of years since the study
started. Based on the function, what is the percent the bees population declines by each
year?

Answers

Answer 1

Answer:

yor mom

Step-by-step explanation:

Answer 2

The function B(t) = 1872(0.83)[tex].^t[/tex] represents the annual population of bees in a county park, the decline rate is 17%.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

The decline rate will be calculated as below:-

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

From the function :

b = 0.83

The decline rate will be calculated as,

Decline rate = 1 - 0.83 = 0.17 x 100 = 17%

The function B(t) = 1872(0.83)[tex].^t[/tex]  represents the annual population of bees in a county park, the decline rate is 17%.

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Related Questions

Find the volume of a cone with a diameter of 12 cm and a height of 7 m

Answers

Answer:

263.76 m^3

Step-by-step explanation:

Using 3.14 as pi

pi * radius^2 * height / 3

3.14 * 6^2 * 7 / 3

3.14 * 36 * 7 /3

3.14 * 252 /3

3.14 * 84

263.76

Please help. I don't know any theorems that relate to this

Answers

Answer:

125°

Step-by-step explanation:

In circle with center O.

BC is tangent at point B.Draw segment OBOB is radius[tex]\implies OB\perp AB[/tex] (Tangent theorem)[tex]\implies\red{\bold{ m\angle OBC = 90\degree}}[/tex][tex]m\angle AOB= 90\degree + 20\degree[/tex] (By exterior angle theorem)[tex]\implies m\angle AOB= 110\degree[/tex] OA = OB (radii of same circle)[tex]\implies m\angle OAB = m\angle OBA = x \: (say)[/tex] (By isosceles triangle theorem)[tex]m\angle AOB + m\angle OAB +m\angle OBA=180\degree[/tex] (By interior angle sum theorem of a triangle)[tex]\implies 110\degree+ x +x=180\degree[/tex][tex]\implies 2x =180\degree-110\degree[/tex][tex]\implies 2x =70\degree[/tex][tex]\implies x =35\degree[/tex][tex]\implies \purple{\bold{m\angle OBA =35\degree}}[/tex][tex]m\angle CBA=\red{\bold{m\angle OBC}} +\purple{\bold{m\angle OBA }}[/tex][tex]m\angle CBA=90\degree + 35\degree[/tex][tex]\huge{\orange{m\angle CBA=125\degree}}[/tex]

I need the formula for this graph

Answers

Answer:

y=[tex]\frac{1}{3}[/tex]x+[tex]\frac{1}{3}[/tex]   /  

Step-by-step explanation:

Miss Violet is buying granola bars for her students. She already has 16 granola bars in her desk and needs a total of 100 bars. They are sold in packs of 12. Write an equation to show how many more boxes of granola bars she needs.


16 – 12x = 100
16 – 12x = 100

16x + 12 = 100
16x + 12 = 100

16 + 12x = 100
16 + 12x = 100

12x – 16 = 100
12x – 16 = 100

Answers

Answer:

100 - 16 = 84, and 84 divided by 12 is 7. She needs to buy 7 more boxes of granola bars for her students.

Step-by-step explanation:

Answer:

She need 7

Step-by-step explanation:

12x7=84

Then add 16 to 84 to get 100

Which solution to the equation startfraction 3 over a 2 endfraction startfraction 2 over a endfraction = startfraction 4 a minus 4 over a squared minus 4 endfraction is extraneous?

Answers

The solution of the rational equation [tex]\frac{3}{a + 2} * \frac{2}{a} = \frac{4 a - 4 }{a^2 - 4}[/tex] is a = 3

How to determine the solution?

The equation is given as:

[tex]\frac{3}{a + 2} * \frac{2}{a} = \frac{4 a - 4 }{a^2 - 4}[/tex]

Express a^2 - 4 as  a difference of two squares

[tex]\frac{3}{a + 2} * \frac{2}{a} = \frac{4 a - 4 }{(a + 2)(a - 2)}[/tex]

Cancel out the common terms

[tex]\frac{3}{} * \frac{2}{a} = \frac{4 a - 4 }{a - 2}[/tex]

Factor out 2 from 4a - 4

[tex]\frac{3}{} * \frac{2}{a} = \frac{2(a - 2) }{a - 2}[/tex]

Evaluate the quotient

[tex]\frac{3}{} * \frac{2}{a} = 2[/tex]

Divide both sides by 2

[tex]\frac{3}{1} * \frac{1}{a} = 1[/tex]

Cross multiply

a = 3

Hence, the solution of the equation [tex]\frac{3}{a + 2} * \frac{2}{a} = \frac{4 a - 4 }{a^2 - 4}[/tex] is 3

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Answer:

the answer for Which solution to the equation StartFraction 3 Over a + 2 EndFraction + StartFraction 2 Over a EndFraction = StartFraction 4 a minus 4 Over a squared minus 4 EndFraction is EXTRANEOUS? is a: a=-2

Step-by-step explanation:

50 points if u answer this easy problem.

Answers

Answer:

Slope=2

Step-by-step explanation:

Slope=rise/run

We can start at 2, 3 (you can start anywhere on the line)

Then go to 3, 5 (you can end anywhere on the line)

Rise=2

Run=1

2/1=2

Slope is 2. The uses up there were examples. It doesn't have to be the exact points.

(0,-1)(1,1)

Slope

m=y1-y1/x2-x1m=1+1/1-0m=2/1m=2

Find the equation of the line that goes through the points (0, 4) and (10, 2).

y = -1/5 x + 4

y = 1/5 x - 4

y = -1/5 x + 2

y = -5x + 4

Answers

Answer:
Y=-1/5x+4
Y-intercept is (0,4)

I NEED HELP! ASAP, THIS IS SO HARD AND MY BRAIN HURTS, IF U HELP ME WITH OTHER QUESTIONS LIKE THIS ILL GIVE U 50+ POINTS

Answers

(11+4)/3*8
15/3*8
5*8
40!!

How many square inches of fabric does Kendall need for a triangle flag with a base of 20 inches a height of 40 inches

Answers

Answer: [tex]400^{2}[/tex]

Step-by-step explanation:

First, write the formula:

A = (b × h) / 2

Next, multiply the base and the height of the triangle.

20 x 40 = 800

Finally, divide 800 by 2.

800/2=400

Therefore, the answer is [tex]400^{2}[/tex].

PLEASE ASAP we need to turn in in 20 mins

Answers

Answer:

14 units^2

Step-by-step explanation:

Hey there!

In order to find the area of this triangle, we need to find the base and height of the triangle

the base of the triangle is 7 units long and the height of the triangle is 4 units high

Formula for area of triangle: Base x Height x 1/2

7 x 4 x 1/2 --> 28 x 1/2 --> 14

So, the area of this triangle is 14

Now the question is asking to find the area by forming a parallelogram

All you have to do for this is duplicate that same triangle, and mirror it upside down

Then all you would have to do is find the Base and the Height and multiply them together

Can someone please help me with this question

Answers

Answer:

B)

Step-by-step explanation:

The way I think of it, a fair election comes from all qualifiable candidates, in this case, only 50 girls were allowed to vote, giving the impression that boys aren't qualified, thus not even being able to vote for a candidate. In conclusion, I think that it's option B).

Pleasei will give you os many point

Answers

Answer:

x = 39°

Step-by-step explanation:

for right angle triangle ABD

BD^2 = 36 + 64 = 100

BD = 10

use sine law

sin (29) / BD = sin (x)/ DC

sin (29)/ 10 = sin x/ 13

sin x = 13 sin (29)/ 10

First solve for BD:

a² + b² = c²6² + 8² = BD²BD² = 36 + 64BD² = 100BD = √100BD = 10

Then use sine rule:

sin(A)/a = sin(B)/b

insert values

sin(29)/10 = sin(x)/13

exchange sides

sin(x) = 13sin(29)/10

simplify

sin(x) = 6.302525/10sin(x) = 0.63

change side

x = sin⁻¹(0.63)x = 39.06875°

rounded to nearest hundredth

x = 39.07°

if I have my mean mode median range so how can I construct a frequency table​

Answers

Answer:

To find the mean, multiply the values by frequencies, add the subtotals, and divide by the total number of the frequency. Median : To find the median, calculate a running total of the frequencies, which is half the total, it contains the median that corresponds to the value.

Step-by-step explanation:

QR is the radius of R and PQ is the tangent to R. Find the value of x.

Answers

Answer:

x = 39

Step-by-step explanation:

We know that PRQ is a right triangle, so we use the pythagorean theorem to solve the problem. The theorem states that a^2 + b^2 = c^2. Let's assume that the length of RP is c, the length of PQ is a and x is b. We plug the lengths into the equation and solve it:

80^2 + x^2 = 89^2

6400 +x^2 = 7921

x^2 = 1521

x = [tex]\sqrt{1521}[/tex]

x = 39

help me pls thank you

Answers

Answer:

i don't think you can create a triangle

Step-by-step explanation:

you need it to be a<b+c

In an orchard, there are 16 apple trees, 22 orange trees, and a cherry tree. What is the ratio of apple trees to orange trees? OA. 1:22 OB 22:16 OC. 16:22 OD. 38:22​

Answers

Answer:

Answer:

C.  16 : 22

Step-by-step explanation:

Given:

Apple trees = 16

Orange trees = 22

Cherry trees = 1

Ratio of apples trees to orange trees:

⇒ apple : orange

⇒ 16 : 22

MATH PROBLEM SOLVE IT TO GET 50 PTS

Answers

Answer:

b = 17

Step-by-step explanation:

The correct equation is 3b - 6 = 45. You get this by saying the books (b) are 3 dollars each (3b) and you are getting a discount of 6 dollars off (- 6). The total after the discount is 45 dollars. You know have to solve this equation for b (the number of books) to get the answer. When you solve this equation, you get b = 17.

Answer:

3b - 6 = 45 and b = 17

Step-by-step explanation:

3b - 6 = 45 is your equation you get

3b is how many books you bought and the price multiplied by one another, then subtracting 6 gives you the discounted price which is 45

3b - 6 = 45

+6          +6

3b = 51

/3     /3

b = 17

a book costs 17 dollars.

so b = 17  

HELP ASAP

Which of the following are equations for the line shown below? Check all that
apply

Answers

The equation of the line which is plotted on the graph and passes from the points (2,5) and (-2,-3) is y=2x-6.

What is the equation of line?

The equation of the line is the way of representation of a line in the equation form.

The equitation of the lines represents the line by the set of points on which the line lies or passes through in the coordinate system.

The formula to find equation of line is,

(y-y₁)={(y₂-y₁)/(x₂-x₁)}(x-x₁)

Here, x and y are the coordinate and subscript (1,2) used for the first and second point.

The points from which the line passes through are (2,5) and (-2,-3). Put the values,

(y-y₁)={(y₂-y₁)/(x₂-x₁)}(x-x₁)

(y-(-2))={(-3-5)/(-2-2)}(x-2)

y+2={-8/-4}(x-2)

y+2=2(x-2)

y+2=2x-4

y=2x-4-2

y=2x-6

Thus, the equation of the line which is plotted on the graph and passes from the points (2,5) and (-2,-3) is y=2x-6.

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If 50x=500 then….
What would the answer be ?

Answers

[tex]\large\textit{Answer :}[/tex]

x = 10

[tex]\large\textit{Calculations :}[/tex]

The way to solve this one - step equation is to divide by 50 on both sides to get x by itself :

50x=500

x = 10

[tex]\tiny\textsc{HOPE HELPFUL ~}[/tex]

Write an equation for this model and solve for `x`

Answers

the equation is -5x = 4

x = -0.8

Colleen has put $26,000 into a retirement fund. the fund has an estimated annual return of 10%. if colleen doesn't add any more money, how much can she expect to have in the fund in 7 years?

if necessary, round your answer to the nearest cent

the answer is : 50,666.64

Answers

Using an exponential function, it is found that she can be expected to have $50,666.64 in the fund in 7 years.

What is an exponential function?

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial value.r is the decay rate, as a decimal.

In this problem, we have that the initial amount and the growth rate are given, respectively, by:

A(0) = 26000.r = 0.1.

Hence the amount after t years is given by:

[tex]A(t) = 26000(1.1)^t[/tex]

Then, after 7 years, the amount is:

[tex]A(7) = 26000(1.1)^7 = 50,666.64[/tex]

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Juan rolls a 6-sided number cube 4 times. each time, the result is 2. which best describes the events? dependent: each outcome was the same. simple: one single number cube was rolled. independent: each outcome is unaffected by previous outcomes. simple: one single number cube was rolled. dependent. each outcome was the same. compound: multiple events occurred. independent: each outcome was unaffected by previous outcomes. compound: multiple events occurred.

Answers

Answer: 1/6

because there are 6 side to a cube and you can only have a outcome of 1 so therefore, the answer is 1/6

Answer:

D

Step-by-step explanation:

Put these fractions in order of size, smallest to largest.
7/10 2/3 4/5 11/15

Answers

Step-by-step explanation:

2/3

7/10

11/15

4/5

(if you struggle with identifying when one fraction is bigger or smaller than another, just convert it to decimals in a calculator)

Hope this helps

Ravi buys lunch at a restaurant.

An 8% sales tax is added, and he tips the waiter 20% of the cost of the food.

Ravi pays a total of $17.92 for his lunch, including tax and tip.

What is the price of Ravi's lunch, before tax and tip?

Answers

The price of Ravi's lunch, before tax and tip was added to the total cost of the meal is $13.19.

What is the price of the lunch?

Both the tax and the tip paid would increase the cost of the meal. Thus, their dollar value has to be subtracted from the total amount he pays.

Value of the lunch after the tip has been removed = (1 - 0.2) x 17.92 = $14.34

Value of the lunch after the tax has been removed = (1 - 0.08) x $14.34 = $13.19

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8. The model of a building is 32 inches tall. The actual building is 240 feet tall. What scale is being used?

Answers

Answer:

7.5 feet for 1 in.

Step-by-step explanation:

32:240/2

16:120/2

8:60/2

4:30/2

2:15/2

1:7.5

Select all of the combinations of side lengths below that cannot be used to draw a triangle.

Answers

Answer:

A , C and D cannot be used to drwa a traingle

Step-by-step explanation:

A pattern follows the rule "Start at 3 and add 10."
Which statement is true about the pattern?
A: Each term is 13 more than the previous term because the tens digit goes up by 1 and the one's digit goes up by 3.
B: Each term is 10 times the previous term because the tens digit goes up by 1 and the ones digit stays the same.
C: For each term, the ones digit stays the same and the tens digit goes up by 1 because 10 has one ten and no ones.
D: For each term, the ones digit goes up by 3 and the tens digit goes up by 1 because you start at 3 and go up by 10 each time.

Answers

B: Each term is 10 times the previous term because the tens digit goes up by 1 and the ones digit stays the same.

60. If a publisher charges $15 for the first copy of a book
that is ordered and $12 for each additional copy, which
of the following expressions represents the cost of
y books?

F. 12y + 3
G. 12y + 15
H. 15y - 3
J. 15y + 3
K. 15y + 12

Answers

The answer is G. Think of the variable y as each additional copy. 12 times (y- # of additional copies). 15 is the starting pay of the first copy so you only need to pay 15 once. However, 12 depends on how many additional copies you have which is our missing number y

find the domain and range pls!

Answers

Domain should be, (-♾️,♾️)
And range should be, (-♾️, 2)

If you ment something other then this please message me so I can help!

Find the SURFACE AREA of the
cylinder below.
10 yd radius and 15 yd height. (ROUND TO NEAREST TENTH)

Answers

Answer:

1571

Step-by-step explanation:

its 1570.8 but you have to round

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