If the initial population of panda was 100 and grew to 125 after the first year, which of the following functions best models the population of pandas P with respect to the number of years t if the population growth of pandas is considered to be linear?
A. P= 25t + 100
B.P= 100(1.25)^t
C. P= 100(1.2)^t
D.P= 20t^2 + 5t +100

Answers

Answer 1

Hi,  

if growth continue to the same rate, meaning  +25% more every year, then   B is the answer :

100 (1.25)^t

Answer 2
Final answer:

The correct function that models the linear growth of the panda population is P = 25t + 100 as it correctly shows the yearly growth of 25 pandas from an initial population of 100.

Explanation:

The student is given that the initial population of pandas was 100, and after one year, it has increased by 25 to 125. As the question specifies a linear growth for the pandas' population, the model that would best fit this would be a linear function. The growth per year is 25 pandas, which becomes the slope of our linear function. The initial population is the y-intercept, which is the value of P when t = 0. Thus, the correct function that models this scenario is P = 25t + 100.

Option A correctly represents the linear population growth, while the other options represent exponential or quadratic growth, and thus are not suitable models for this particular case of linear growth.

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Related Questions

An atom of lithium has 3 protons 4 neurons and 2 electrons.

What is the overall charge on this atom

A) -3

B) -1

C) +1

D) +3

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Answer:

positive 1

Step-by-step explanation:

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give me the brain PLZ:)

What is the value of x? 6 8 10 12

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Its 8

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Solve 5 - 2x < 7. Please help me

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Answer:

x > -1

Step-by-step explanation:

Answer:

[tex]x>-1[/tex]

Step-by-step explanation:

[tex]5 - 2x < 7[/tex]

[tex]5-2x-5<7-5[/tex]

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What’s 3/8 off 20 inches

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Answer:

I think the answer is 1'8 3'8

Answer:

Step-by-step explanation:

The radius of a circle is 1 inch. What is its circumference?

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Step-by-step explanation:

use the image below to help

I have a math problem. I don't know were to start here's my problem. You have 3 cards in front of you, on one side there's a letter either R, V or B. On the other side there's a hidden number. Find the 3 number's. Here's the information we already know:
1) R+V=B
2) V+B= 180
3) 5xB=V
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The answer will be 21

At Marvin's Motorcycle's a pair of gloves sell for $85. Marvin purchases them from the manufacturer for $50. What is the percent markup on the gloves?

Plz help! 10 points

Answers

The percent of this markup is 70%! They seller made $35 extra! :)

I hope this helped! Mark me Brainliest! :) -Raven❤️

help me pls !!
(Extra points)

And I need to explain it.

Answers

Answer:

true

Step-by-step explanation:

1. simplfy the expression to 7^2 *8/7^3=8/7.

2. that'll give u 8/7=8/7

What is the domain and range of the graph

Answers

Domain: [-1, 0] U [5, 0]

Range: [0, -6] U [0, 4]

Answer:

[tex]D={x,-1<=x<=5}, R={y,-6<=y<=4} [/tex]

Step-by-step explanation:

by graphing interpretation, horizontal range is the domain and vertical range is the range. buat your problem is an oval which not a function.

Simplify the expression -2(p+4)^2-3+5p what is the simplified expression in standard form?

Answers

Answer

I got p-19 i might be wrong

Step-by-step explanation:

Answer:

brainliet plssssss

Step-by-step explanation:

Let's simplify step-by-step.

−2(p+4)^2−3+5p

Distribute:

=−2p^2+−16p+−32+−3+5p

Combine Like Terms:

=−2p^2+−16p+−32+−3+5p

=(−2p^2)+(−16p+5p)+(−32+−3)

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Find the value of x, then use this value to determine the measure of each of the angles.



x =

The measurement of angle AOB = degrees.

The measurement of angle COB = degrees.

Answers

Answer:

x=15

AOB= 15

COB= 165

Step-by-step explanation:

Which rules of exponents will be used to evaluate this expression? Check all that apply.

StartFraction left-brace (negative 8) Superscript 4 Baseline right-brace Superscript negative 5 Baseline Over (negative 8) Superscript 6 Baseline EndFraction
product of powers
quotient of powers
power of a power
power of a product
negative exponent
zero exponent

Answers

Answer:

quotient of powers power of a power negative exponent

Step-by-step explanation:

Given

( -8⁴)⁻⁵ / ( -8⁶)

Evaluating:

( -8⁴)⁻⁵ / ( -8⁶)  =( -8⁴ˣ⁻⁵) / ( -8⁶) =           ⇒ Power of a power (nᵃ)ᵇ = nᵃᵇ(-8⁻²⁰)/( -8⁶) =8⁻²⁰⁻⁶ =                        ⇒ Quotient of powers nᵃ/nᵇ = nᵃ⁻ᵇ8⁻²⁶ = 1/8²⁶                            ⇒ Negative exponent n⁻ᵃ = 1 / nᵃ

Used rules:

quotient of powers power of a power negative exponent

Answer:

B-quotient of powers

C-power of a power

E-negative exponent

Step-by-step explanation:

What is the area of the shape below? Hint: use the formula: A =1/2 h (b1 + b2) *
A. 54.6 yd squared
B. 172.5 yd squared
C. 112.5 yd squared
D. 120 yd squared

Answers

Answer:

B. 172.5 yd squared

Step-by-step explanation:

FIrst, we must find half of the height, which is 15/2 or 7.5.

Next we have to multiply 7.5 times (15+8) which is B.

a student is helping decorate a bulletin board that is 5 feet long and 4 feet tall.. He needs to cut a piece of yarn to run along the diagonal from the top left to the bottom right of the board.

Answers

If you need to find how big of a rope you need, you would need 9 feet of rope to wrap around the 5ft and the 4ft!

I hope this helped! Mark me Brainliest! :) -Raven❤️

Answer:

6.40312424 feet

Step-by-step explanation:

using the pythagreons theorm you can find the missing side

a^2 + b^2 =c^2

5 x 5 + 4x4 = 41

then you find the square root of 41

the length would be 6.40312424 feet

a(x−b) +bx+c=a+b solve for x helpp

Answers

Answer:
a + b + ab - c
x = ———————-
a + b


Work out the area of this circle.
Take a to be 3.142 and write down all the digits given by your calculator.
13 cm

Answers

Final answer:

The area of the circle is found by substitifying the radius into the formula A = πr². In this case, with a given radius of 6.5 cm and π as 3.142, the calculated area is approximately 132.732 square centimeters.

Explanation:

To find the area of a circle, you use the formula A = πr², where A represents the area, π is a mathematical constant whose value is given as 3.142 in this case, and r is the radius of the circle.

Since the radius (r) is not directly mentioned in the question, we should understand that the given 13 cm refers to the diameter of the circle, hence the radius will be half, i.e., 13/2 = 6.5 cm.

Substituting these values into the formula gives: A = 3.142 * (6.5)². When you perform the calculation, the result would be about 132.732 square centimeters.

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What is the common ratio of the sequence?
-2, 6, -18, 54,...
0 -3
O -2
3
08

Answers

The answer is 8 but I’m not really sure tno

Answer:

Step-by-step explanation:

To find the common ratio

First term=-2

r=6/-2

r=-3

Or

r=54/-18

r=-3

Corri needs to get milk, eggs, bread, and cereal at the store. Since the bread is close to the cereal, Corri always picks up the cereal right after getting bread. List all of the different combinations of ways she can pick up the items she needs. Use the first letter of each item in your list (M, E, B, C)

Answers

Answer:

bread

cereal

milk

eggs

Step-by-step explanation:

Answer:mebc,embc, bcem,bcme.

Step-by-step explanation:


3. Of the three expressions shown, which two
are equivalent?
3+2(9 + 2n) 7(3 + 4n) 21 + 4n​

Answers

Answer:

the answer would be the first and last equation

Step-by-step explanation:

both equations equal 21+4n

Final answer:

After simplifying the expressions, it's found that 3 + 2(9 + 2n) simplifies to 21 + 4n, and the third expression is exactly 21 + 4n. These two expressions are equivalent.

Explanation:

To determine which two of the three expressions are equivalent, we need to simplify each expression and compare them.

Let's simplify each expression:

3 + 2(9 + 2n) = 3 + 18 + 4n = 21 + 4n

7(3 + 4n) = 21 + 28n

21 + 4n = 21 + 4n

Now, we can compare them:

The first expression, after simplification, becomes 21 + 4n.

The second expression is 21 + 28n, which is not equivalent to the first.

The third expression is exactly 21 + 4n, which is equivalent to the first expression.

So, the expressions 3 + 2(9 + 2n) and 21 + 4n are equivalent.

If a circle has a radius of 17 cm. What is the circumference of the circle ?

Answers

Answer:

106.81 cm or 107 cm.

Step-by-step explanation:

The formula for finding the circumference (perimeter) of a circle is 2 times pi times r or the radius of the circle, or you can find the diameter by multiplying the radius by 2, in this case 34 and multiply that by pi. The diameter is 34 so multiply that by pi and you get 106.81 cm as an approximate. Hope this helps!

The circumferences of the circle is 106.76 cm.

What is circumferences?

The circumference is the length of any great circle, the intersection of the sphere with any plane passing through its centre.

Given that, a circle has radius = 17 cm

We know that, circumference = π × diameter

diameter = 2 × radius = 17 × 2 = 34

circumference = 34 × 3.14 = 106.76 cm

Hence, the circumference of the circle is 106.76 cm

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88 out of 132 in fraction form

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Answer:

2/3

Step-by-step explanation:

Divide both the numerator and denominator by the GCD

88 ÷ 44

132 ÷ 44

Reduced fraction:  

2

3

Therefore, 88/132 simplified is 2/3

What’s the answer????

Answers

Answer:

21

Step-by-step explanation:

Answer:

105 pages in 7 minutes

Step-by-step explanation:

cross multiply

hope this helped

do the side lengths 4.1,8.2,and 12.2 for a triangle

Answers

Answer:

Step-by-step explanation:

Three line segments can form a triangle if the length of the longest segment is greater than the sum of the lengths of the shorter segments.

4.1 + 8.2 > 12.2

12.3 > 12.2

true 

They can form a triangle.

Now if c is the length of the longest side and a and b are the lengths of the shorter sides, then:

- if , [tex]c^{2}[/tex] = [tex]a^2 + b^2[/tex] the triangle is right

- If [tex]c^2 < a^2 + b^2[/tex]

- if  [tex]c^2 > a^2 + b^2[/tex] the triangle is obtuse

[tex]4.1^2 + 8.2^2 = 16.81 + 67.24 = 84.05\\12.2^2 = 148.84\\148.84 > 84.05[/tex]

The triangle is obtuse.

What is the value of the rational expression when x=-2? -7 -9 9 7

Answers

The value of the rational expression [tex]\frac{2x^2+5x+9}{x^2+2x-1}[/tex] when x =-2 is -7

What is ration expression?

A rational expression is an expression that can be written in the form of a ratio of two polynomial expressions. Specifically, it is a fraction in which the numerator and denominator are both polynomials.

How to find value of rational expression?

To find the value of the rational expression when x=-2, we substitute -2 for x in the expression and simplify:

[tex]\frac{2x^2 + 5x + 9}{x^2 + 2x - 1}[/tex]

= [tex]\frac{(2(-2)^2 + 5(-2) + 9)}{((-2)^2 + 2(-2) - 1)}[/tex]

=[tex]\frac{8 - 10 + 9}{4 - 4 - 1}[/tex]

= [tex]\frac{7}{-1}[/tex]

= -7

Therefore, the value of the rational expression [tex]\frac{2x^2+5x+9}{x^2+2x-1}[/tex] when x =-2 is -7.

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The question is incomplete, see full details in the attached image.

The value of the expression is Option a. -7.

To find the value of the rational expression (2x² + 5x + 9) / (x² + 2x - 1) when x = -2, we need to substitute -2 into the expression.

First, let's calculate the numerator:

2(-2)² + 5(-2) + 9= 2(4) -10 + 9= 8 - 10 + 9= 7

Next, we calculate the denominator:

(-2)² + 2(-2) - 1= 4 - 4 - 1= -1

Now, we divide the numerator by the denominator:

= 7 / (-1)= -7

So, the value of the rational expression when x = -2 is -7. Therefore, the correct answer is Option a. -7.

Complete question:

What is the value of the rational expression (2x²+5x+9)/x²+2x-1 when x=-2

a. -7

b. -9

c. 9

d. 7

Can someone help me?

I’m stuck

BRAINLEST!!

Answers

Answer:

A

Step-by-step explanation:

Lateral surface area = surface area - bases

2(8(11) + 8(5)) =

256 <--- Lateral Surface Area

The bases have areas of 11*5 = 55

Multiply that by 2 and add to 256

256 + 110=

366 <---Surface Area

Please help me with #3.

Answers

Answer:

Total lateral surface of the pyramid = 54 [tex]cm^{2}[/tex]

which agrees with the first listed answer.

Step-by-step explanation:

Notice that the pyramid has for base an equilateral triangle of base 5 cm, and has three lateral triangles which have all the same dimensions for their base (5 cm - since they are all connected to the base of the pyramid), and their height (7.2 cm).

The actual LATERAL surface, includes only the surface of the three lateral triangles.

We use the formula for the area of a triangle: [tex]Area=\frac{base \,*\, height}{2}[/tex]

to calculate the area of each lateral triangle:

[tex]Area=\frac{5\,cm \,*\, 7.2\,cm}{2} \\Area=18 \,cm^2[/tex]

and then multiply the result by three (to account for the three lateral faces)

Therefore, the total lateral surface is:

Total lateral surface = 3 * 18 = 54 [tex]cm^{2}[/tex]

What is the approximate surface area of the sphere?

Answers

Calculating the Surface Area of a Sphere:
In plain english the surface area of a sphere can be calculated by squaring the radius, multiplying the result by PI, and finally multiplying by 4. You can approximated PI using: 3.14159.

Determine which diagram could be used to prove AABC - AEDC using similarity transformations,

Answers

diagram 1 because they have the same angle

The diagram which could be used to prove AABC - AEDC using similarity transformations is A.

What are congruent triangles?

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles; are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]

(|AB| denotes length of line segment AB, and so on for others).

We are given that;

The three figures in the picture

Now, in first figure

Angle BAC= Angle CED  

(given)

Angle BCA= Angle ECD

(interior opposite angles)

So, both triangles are congruent

Therefore, by congruent triangles answer will be figure A.

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Two nickels are what fraction of a dollar?

Answers

Answer:

1/10

Step-by-step explanation:

Answer:

2/20?

Step-by-step explanation:

A wire is needed to support a vertical pole 18 feet high. The cable will be
anchored to a stake 10 feet from the base of the pole. How much cable is
needed?

Answers

19.698 feet of cable would be needed, this would round up to 20 feet total.
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