Ten deer were introduced into a protected preserve. Their expected population doubles each year. Which function represents the same relationship?

Answers

Answer 1

Answer:

y(t)= 10 (2)^t

Step-by-step explanation:

If t is the number of years given then the expected number can be found by

y(t)= 10 (2)^t

where t takes the value 0,1,2,3, and so on.

Putting t= 0

y(t)= 10 (2)^t

y(0)= 10 (2)^0

y(0)= 10   For the start the number of deer are 10.

Putting t= 1

y(t)= 10 (2)^t

y(1)= 10 (2)^1

y(1)= 20    After 1 year it has doubled to 20

Putting t= 2

y(t)= 10 (2)^t

y(2)= 10 (2)^2

y(2)= 40      After 2 years it has again doubled to 40

Putting t= 3

y(t)= 10 (2)^t

y(3)= 10 (2)^3

y(3)= 80   After 3 years it has again doubled to 80


Related Questions

A rock is dropped from a height of 100 feet. Calculate the time between when the rock was dropped and when it landed. If we choose "down" as positive and ignore air friction, the function is

Answers

Answer: 2.49 s

Step-by-step explanation:

Given

Rock is dropped from a height of [tex]h=100\ ft[/tex]

Using the equation of motion [tex]h=ut+\frac{1}{2}at^2[/tex]

here, [tex]u=0[/tex] (Rock is dropped)

[tex]a=g[/tex]

Putting values

[tex]\Rightarrow 100=0+\dfrac{1}{2}gt^2\\\\\Rightarrow t^2=\dfrac{2h}{g}=\dfrac{2\times 100}{32.2}\\\\\Rightarrow t=\sqrt{6.211}=2.49\ s[/tex]

F (x)= 3x +4 , find f (2)

Answers

Answer:

10

Step-by-step explanation:

First substitute x for 2

3(2) + 4

6+4

10  When x is 2 f = 10

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A map is placed on a coordinate grid. on the map, city 1 is located at (35,78) and city 2 is located at the point (47,122). If each unit is equivalent to 1 mile, how far apart are the cities?

A. (82,100)
B. (41,100)
C. (6,22)
D. (12,44)

Answers

Answer:

D

Step-by-step explanation:

Firstly, the question is phrased very very badly as the four answers provided are coordinate points rather than how far apart the cities are in units.

To calculate the distance between two points, we have to use Pythagoras' Theorem as it's just pretty much a right-angle triangle. Please look at the (terribly drawn) image provided.

Keep in mind that these points are only roughly placed on the map.

But firstly, to use Pythagoras' Theorem (a^2 + b^2 = c^2), we must find the length of the two sides.

To find the length of the horizontal line (which from now on I'll refer to as 'a'), we must subtract the smaller x value from the larger one.

47 - 35 = 12

To find the length of the vertical line (which from now on I'll refer to as 'b'), we must subtract the smaller y value from the larger one.

122 - 78 = 44

I assume that the answer you should pick is D. (12, 44)

However, that doesn't exactly answer the question... it's worded a little weirdly.

To solve the rest of the equation, do the following:

Now that we know that the length of a = 12 and the length of b = 44, we can use Pythagoras' Theorem.

a^2 + b^2 = c^2

12^2 + 44^2 = c^2

144 + 1936 = c^2

2080 = c^2

c = [tex]\sqrt{2080}[/tex]

c = 45.61

The answer is 45.61 units.

Jason helped his dad put plastic and aluminum items into the recycling container. The container is a large cube with a length, width, and height of 6 feet. What is the volume of the recycling container?

Answers

Answer:

its 216 cubic feet.

Step-by-step explanation:

6x6x6 is 216

Please helpppppp will give brainliest!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

When multiplying a number with the same base, you will add the exponent values

8 +3 = 11

Answer:

8.8²⁴

Step-by-step explanation:

8.8 ⁸׳= 24 so hence 8.8²⁴ is the answer

What is the answer X/7-3>8

Answers

Answer:

x > 77

Step-by-step explanation:

According to order of operations rules, we must carry out division before addition or subtraction.  In this case we wish to isolate x and are permitted to simplify the inequality by combining the "like terms" 3 and 8, as follows:

X/7-3>8

     +3 +3

--------------

x/7 > 11

The easiest way in which to solve for x is to multiply both sides of this inequality by 7:

7(x/7) > 7(11), or

x > 77

All numbers greater than 77 are part of the solution set.

Question 3 of 25 What is g(x)?​

Answers

Answer:

" Its graph is v-shaped and opens up.

If the graph is turned upside down (so that it opens down), then g(x) = -|x|."

Step-by-step explanation:

Hope this helped :)

Step-by-step explanation:

This is an absolute value function with negative coefficient.

we have

g(x) = - Ixl

Mr.Rosado is buying a jacket that regularly cost $40. It is on sale for 20% off. The store also adds a tax of 8%. After tax, how much does Mr.Rosado pay for the jacket?

Answers

Answer:

$11.20

Step-by-step explanation:

Answer:

$34.56

Step-by-step explanation:

32x.08=2.56

40x.2=8

40-8=32

32+2.56=34.56

What is the negative x-intercept of the quadratic function represented by
y = (2x + 8) (3.2 – 1)?

Answers

4.4? Jejejwmmwlsowkwm

9 - 3m = -3


fcgvhbjnkl;.'aszdfgthjkl;asdtgyjko;p

Answers

the correct answer is M= 4

During the day, Lola's dog is tied by rope to a tree in the center of her yard. The scale drawing below shows the area that the dog has to run, in inches. If the actual length of the rope is 11 2/3 feet, what is the scale used in the drawing?

Answers

Answer:

5 /448

Step-by-step explanation:

Radius in drawing = 1 9/16 in

The actual length of rope = 11 2/3 feets

Converting actual length to inches :

1 feet = 12 inches

11 2/3 feets = (11 2/3) * 12 = 140 inches

To obtain the scale used, we divide the Radius in the drawing by the actual length :

1 9/16 ÷ 140

25 /16 ÷ 140

25 /16 * 1 /140

= 25 / 2240

= 5 /448

Hence, scale is 5 /448 times the actual length of drawing

Hence :

The scale used is :

1 feet = 7.4666 inches

Answer:

5/488

Step-by-step explanation:

The point A (-3, 5) and the point B (0, -16) lie on the line L.
a) Find the slope
b) Find the y-intercept
c) Create the equation of the line L.
Can you help? ​

Answers

Step-by-step explanation:

Line is passing through the point A (-3, 5) and the point B (0, -16)

a) Slope (m) = (-16 - 5)/(0+3) = - 21/3 = - 7

b) y - intercept (b) = - 16

c) Equation of line

y = mx + b

y = - 7x + (-16)

y = - 7x - 16

The image of the point ( 4 , 5 ) by translation ( 0 , -4 ) is

Answers

9514 1404 393

Answer:

  P'(4, 1)

Step-by-step explanation:

Add the translation values to the point coordinates.

  P(4, 5) ⇒ P'(4 +0, 5+(-4)) = P'(4, 1)

Miss Gonzales opened an account with a deposit of $2,000,
The account earned annual simple interest.
She did not make any additional deposits or withdrawals.
At the end of 6 years, the balance of the account was $2,696.
What is the annual interest rate on this account?

Answers

Answer:

i think its 18%

Scavenger Hunt
heard F. Use your answer to card F. to find the next
A
12 - x - 2x = -12

Answers

Answer:

Hi! The answer to your question is [tex]x = 8[/tex]!

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!!

- Brooklynn Deka

help please. it would really help if someone explained

Answers

Answer:

0/8

Explanation:

There is no number greater than 10 on the spinner, so there is a 0/8 chance that the spinner will land on a number greater than 10.

The point of tangency is the point where a secant intersects a circle. true or false

Answers

Answer:

False

Step-by-step explanation:

The point of tangency is the point where a tangent intersects a circle.

Express (x + 9)2 as a trinomial in standard form.

Answers

Answer:

Step-by-step explanation:

Answer:

[tex] {x}^{2} + 18x + 81[/tex]

Step-by-step explanation:

[tex](x + 9) {}^{2} [/tex]

Apply foil method.

[tex](x + 9) {}^{2} = (x + 9)(x + 9)[/tex]

Multiply the first terms, X

[tex]x \times x = {x}^{2} [/tex]

Multiply outer terms, 9 and x.

[tex]x \times 9 = 9x[/tex]

Multiply inner terms,

[tex]9 \times x = 9x[/tex]

Multiply outer terms.

[tex]9 \times 9 = 81[/tex]

Add the inner and outer terms

[tex]9x + 9x = 18x[/tex]

Write in standard form

[tex] {x}^{2} + 18x + 81[/tex]

A.45
B.30
C.90
D.180
E.40
F.55
G.130
H.50

Answers

Answer:

If you were to make a 360 degree circle and minus the 50 thats already there you get 310 the right angle on angle 5 is 90 degrees because its a right angle so then the 310-90=220 the obtuse angle on angle 2 is 180 so 220-180=40 lastly you share those forty between angles 3 and 4 and the solution is your answer.

Glab to help!

Jennifer was baking cupcakes for her class. She needed to bake 35 cupcakes in all. Each cupcake needed .13 cups of sugar. How many cups of sugar will she need in order to make the 35 cupcakes?

Answers

Answer and working out attached below. Hope it helps

$100 are shared between Adam and Hamza in the ratio 1:3.
A)
How many dollars did Adam receive?
How many dollars did Hamza receive?

Answers

Answer:

$25 for Adam and $75 for Hamza

Step-by-step explanation:

$100 will be divided to 3 + 1 = 4 parts

the dollars Adam received

= $100 × 1/4

= $25

the dollars Hamza received

= $100 × 3/4

= $75

-----------------------------------------------------------

the dollars Hamza give to Adam

= $75 × 25%

= $75 × 25/100

= $18.75

the dollars Adam have

= $25 + $18.75

= $43.75

the dollars Hamza have

= $75 - $18.75

= $56.25

the ratio

= 43.75:56.25

= 7:9

The piecewise defined function f(x) is graphed below. What is the value of f(2)?

The piecewise defined function f(x) is graphed below. What is the value of f(2)?
f(2) = –2
f(2) = –1
f(2) = 4
f(2) is undefined
Mark this and return

Answers

Answer:

the answer is f(2)= - 1

Step-by-step explanation:

i took the test i failed it but i get that right.

Answer:

f(2) = -1

Step-by-step explanation:

took the test

2. The dimensions of a rectangle can be given by x + 7 and x + 2. If the area of the rectangle is 66 square inches, what are the dimensions of the rectangle?​

Answers

Answer:

(x+7)(x+2) = 66

x^2+9x+14=66

x^2 + 9x -52 = 0

(x+13)(x-4) = 0

x = 4 bc the other root, -13, can't be used (it would make the dimensions negative values)

5) A section of rope is divided into 4 pieces. The 1st piece is 3 times as long as the 2nd piece. The 3rd piece is as long as the 2nd piece less 25 feet. The 4th piece is 2 times as long as the 2nd piece plus 30 feet. Write an expression representing each rope piece. How long is each piece of rope if the total length is 425 feet.​

Answers

Answer:

1= 180 ft

2 = 60 ft

3= 35 ft

4= 150 ft

Step-by-step explanation:

1 = 3x

2=x

3=x-25

4= 2x+30

425= 7x -5

420=7x

x=60

Which of the following are compound events?
A.
Jacob flips a coin and pulls a card

B.
A teacher selects a student randomly from the class

C.
Maria spins a spinner from a board game to determine her next move

D.
The forecast for rain today

E.
Customer orders a Turkey and Swiss sandwich on wheat bread

F.
A family has two boys and a girl

Answers

Answer:

a

Step-by-step explanation:

A compound event is an event that has more than one outcome. it is the combination of two simple events

Which of these numbers is equivalent to 22/3
?
A. 0.136
B. 0.136 Repeating
C. 7.3
D. 7.3 repeating

Answers

Answer:7.3333333333

Step-by-step explanation:

A trillion frozen comets are orbiting the sun in a far off region called the __________ cloud.

Answers

Answer:

The Oort Cloud

Step-by-step explanation:

The Oort Cloud is a predicted collection of icy objects farther away than everything else in the solar system.

Hope this helped!!!

Find the volume of the figure.

Answers

Answer:

i will not give you the answer but I will tell you how to does it stop cheating because it will get you no where in life. If you ever get a job in the future because you got straight a's from CHEATING and they tell you to do somthing,  YOU'RE  NOT GONNA BE ABLE TO DO IT. please and thank YOU

Step-by-step explanation:

Add all the numbers and divided by 3

You can paint 8 square feet in 2 hours. How many square feet can you paint in 7 hours

Answers

Twenty Eight

How this helps

8 square feet = 2 hours

°divide 2hrs to 8 square feet

1hr = ?

2÷8 =4

so,

1hr = 4 square feet

In 1 hour 4 square feets will be covered

•4 square feet can be painted in 1 hour.

*now to find how many square can be painted in 7 hrs.

°multiply no. of hours to hd no. of square feet per hour.

7hrs = ?

7×4 =28

So,

28 square feet would be covered in 7 hours.

may this helps you

bye

(8x2+8x)−(−9x2+8x)
I NEED STEP BY STEP don't just use a calculator.

Answers

Answer:

34

Step-by-step explanation:

(16+8x)-(-18+8x)

16-(-18)

34

Answer:

17x^2

Step-by-step explanation:

(8x^2+8x)- ( 9x^2+8x)

8x^2+8x + 9x^2-8x

17x^2

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