About 50 cane toads were introduced into Australia in 1935 to try to control the population of beetles that destroy sugar cane plants. By 2005, there were an estimated 100,000,000 cane toads in Australia. An exponential function that models the number of female cane toads in Australia t years after 1935 is given by f(t)=50(1.23)t .

a. Write a linear function p that models the number of cane toads in Australia t years after 1935. p(t)=_____
b. Describe the parameters in the exponential function, , in terms of the context of the problem. ____
c. Describe the parameters in the linear function, p , in terms of the context of the problem. ____
Question 4 d. Which model do you think is more appropriate to model the female cane toad population? Use the parameters of the functions to justify your reasoning. Linear or exponential?
Predict the population of female cane toads in Australia in 2000 based on each function. The linear function predicts that there would be ___ female cane toads in 2000. The exponential function predicts that there would be ___ female cane toads in 2000.

Step-by-step explanation:

a) The measure of angle 7 is also 47 degrees. We know this because angle 5 and angle 7 are vertical angles and vertical angles are always equal.

b and c) Since we know that a straight line has an angle of 180 degrees and that the sum of angle 5 and angle 6 will add to this, we can use that to find the value of x like this:

[tex]47+2x-5=180\\47-5+2x=180\\42+2x=180\\42-42+2x=180-42\\2x=138\\\frac{2x}{2} =\frac{138}{2} \\x=69[/tex]

Answer:

3/50.

Step-by-step explanation:

There are 10 marbles in the bag.

Probability( a green marble) =  2/10 = 1/5.

Now we replace the green marble in the bag so it contains 10 marbles again.

Probabilty(a yellow marble) = 3/10.

So Probability(Choosing a green then a red with repeacemen)

= 1/5 * 3/10

= 3/50.

Answer:

2p+3>2(p−3)

Use the distributive property to multiply 2 by p−3.

2p+3>2p−6

Subtract 2p from both sides.

2p+3−2p>−6

Combine 2p and −2p to get 0.

-3>6

This is true for any p.

p∈R

Step-by-step explanation:

Hope this helps! :)

Answer:

C. No solution

Step-by-step explanation:

Sove for p;

2p + 3 > 2 (p – 3)

First: distribute 2 (p – 3):

2 (p – 3)

2(p) + 2(-3)

2p - 6

Now add it back to your original problem:

2p + 3 > 2p - 6

Subtract 3 from both sides of the equation:

2p + 3 > 2p - 6

     - 3         - 3

2p > 2p -9

Subtract 2p from both sides of the equation:

2p > 2p -9

-2p -2p

0 > -9

Therefore, this inequality has no solution, because we could solve for p.

Hope this helps!

Answer:

  3/8 cubic units

Step-by-step explanation:

The volume of a rectangular prism is given by the formula ...

  V = LWH

Using the given dimensions, we find the volume to be ...

  V = (1/2)(1)(3/4) = 3/8 . . . . cubic units

Answer:

7) a

8) b

9) d

Step-by-step explanation:

Answer:

the sum is the total amount resulting from the addition of two or more numbers, amounts, or items.

A group of students formed a circle during a game. The circumference of the circle was about 50.24 feet, and the diameter of the circle was 16 feet. The required expression for value of π is: 3.14

A circle is a form made up of all points on a plane that are at a specific distance from the centre point. In other words, it is the path a moving point in a plane takes to travel around a curve while maintaining a constant distance from another point.

Given that,

The circumference of the circle was about 50.24 feet,

And the diameter of the circle was 16 feet

We have to determine,

Which expression best represents the value of π.

According to the question,

Circumference of the circle = 50.24 feet

Diameter f the circle = 16 feet

Then,

Circumference of the circle = π × d

Circumference of the circle = 50.24 feet

Therefore,

50.24 = π × d

or. π × 16 = 50.24

or,  π = 3.14

Hence, The required expression for value of π is: 3.14

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The sequence an = 2(an-1 - 3) is a recursive sequence

The 4th term of the sequence is -42

The given parameters are:

a1 = 0

a2 = -6

an = 2(an-1 - 3)

Start by calculating a3 using:

a3 = 2(a2 - 3)

This gives

a3 = 2 * (-6 - 3)

a3 = -18

Calculate a4 using:

a4 = 2(a3 - 3)

This gives

a4 = 2 * (-18 - 3)

a4 = -42

Hence, the 4th term of the sequence is -42

Read more about sequence at:

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Answer:

y intercept: 4, x-intercept: None

Step-by-step explanation:

Took the test and got it right

p = -4 and q = -6

hope it helps...!!!

Answer:

c or a one of the 2

Step-by-step explanation:

Answer:

I think a possible equation can be; f(n) = 4(2)ⁿ

f(n) = a * bˣ

Where;

f(n) = the function of f for every n value

a = Initial value (in this case it would be 4)

b = Rate of change (in this case it would be 2, since the bacteria doubles)

x = exponent (in this case it would be n)

So our final equation would be:

f(n) = 4(2)ⁿ

Hope this helps!

Answer:

Step-by-step explanation:

67 becaue you divide all the numbers together then add then multiply then subtract divide that number and you get 67

Step-by-step explanation:

xbc = 55

because corresponding angle of parallel lines are equal

BXC = 70

because triangle XBC is Isosceles triangle

angle B = angle C

B = C = 55

so angle

BXC = 180 - 55 - 55

BXC = 180 - 110

BXC = 70

Answer: The function is growing exponentially at a rate of 2.5% every day.

Step-by-step explanation:

Answer:

80°

Step-by-step explanation:

AB and AC are chords.

Chords AB and AC are at a distance of 2 units from the center of the circle.

-> Chord AB = Chord AC

[tex]\implies m(\widehat {AB})=m(\widehat {AC})[/tex]...(1)

(Equal chords intercept equal arcs)

[tex]m(\widehat {AB})+m(\widehat {AC})+m(\widehat {BC})=360\degree[/tex]

(By arc sum property of a circle)

[tex]\implies m(\widehat {AB})+m(\widehat {AB})+200\degree=360\degree[/tex]

(From equation 1)

[tex]\implies 2m(\widehat {AB})=360\degree-200\degree[/tex]

[tex]\implies 2m(\widehat {AB})=160\degree[/tex]

[tex]\implies m(\widehat {AB})=\frac{160\degree}{2}[/tex]

[tex]\implies \huge{\orange{m(\widehat {AB})={80\degree}}}[/tex]

Answer:

80.2

Step-by-step explanation:

Answer:80.2

Step-by-step explanation:

i did the test so yeh edg 2023

(7x + 4)(7x + 4) and (x – 9)(x – 9) are Perfect square trinomial. (5x + 3)(5x – 3) and (–3x – 6)(–3x + 6) shows the Difference of squares.

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

The following are the answers

(5x + 3)(5x – 3) Difference of squares

(7x + 4)(7x + 4) is a Perfect square trinomial

(2x + 1)(x + 2) has Neither a difference of squares nor a perfect square trinomial.

(4x – 6)(x + 8) has Neither a difference of squares nor a perfect square trinomial.

(x – 9)(x – 9) is Perfect square trinomial

(–3x – 6)(–3x + 6) = [tex](-3x)^2- ( -6)^2[/tex]  Difference of squares.

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Answer:

A. B, E, F

Step-by-step explanation:

An equation is formed of two equal expressions. The quadratic equation that can be used to find x, the smaller number is x²+x-272.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the first number be x.

Now since the two numbers are consecutive numbers the other number will be (x+1). Also, it is mentioned in the problem that the product of the two numbers is 272. Therefore, the equation that can represent the product will be,

[tex]x \times (x+1) = 272\\\\x^2 + x =272\\\\x^2 + x -272 = 0[/tex]

Thus, the quadratic equation that can be used to find x, the smaller number is x²+x-272.

Learn more about Equation:

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Answer:

c. x2 + x − 272 = 0

Step-by-step explanation:

Answer:

hi how do you do I actually don't know sorry very much

Step-by-step explanation:

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Answer:

A    Y= 5x-9

Step-by-step explanation:

The total amount that Williana's mother would spend to buy the glass table top is $120.04.

The first step is to determine the area of the glass table top.

Area of a hexagon = [(3√3)/2] x a²

a = side length

2.598 x 27.75² = 2000.68 in²

Cost of the table top = 2000.68 in² x 0.06 = $120.04

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Answer:

D) 79%

Step-by-step explanation:

I had this question on USATestprep and got it right.

Simplifying

8d + -6d = 10

Combine like terms: 8d + -6d = 2d

2d = 10

Solving

2d = 10

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Divide each side by '2'.

d = 5

Simplifying

d = 5

Answer:

64%

Step-by-step explanation: