The linear function predicts that there would be 92857146 female cane toads in 2000 while the exponential function predicts that there would be 34898137 female cane toads in 2000.
Part A: The linear model of the number of cane toadsFrom the question, we have the following points
(t, f(t)) = (0,50) and (70, 100000000)
The linear function is then calculated as:
f(t) = [f(t2) - f(t1)]/[t2 - t1](t - t1) + f(t1)
This gives
f(t) = [100000000 - 50]/[70 - 0](t - 0) + 50
Evaluate
f(t) = 1428570.71t + 50
Hence, the linear function is f(t) = 1428570.71t + 50
Part B: The parameters in the exponential functionThe exponential function is given as:
f(t) = 50(1.23)^t
So, the parameters are:
50 represents the initial value1.23 represents the ratet represents the number of years from 1935f(t) represents the number of cane toad in year tPart C: The parameters in the linear functionThe exponential function is calculated as:
f(t) = 1428570.71t + 50
So, the parameters are:
50 represents the initial value1428570.71 represents the ratet represents the number of years from 1935f(t) represents the number of cane toad in year tPart D: The appropriate modelWhen the population of an entity is being model, it is best to use the exponential model, because the populations would grow exponentially for some time, and then stop growing at some point
Hence, the more appropriate model is the exponential model.
Part E: The number of female cane toads in 2000
The year 2000 is 65 years from 1935.
So, we have:
t = 65
For the exponential model, we have:
f(t) = 50(1.23)^t
The equation becomes
f(65) = 50(1.23)^65
Evaluate
f(65) = 34898137
For the linear function, we have:
f(t) = 1428570.71t + 50
The equation becomes
f(65) = 1428570.71 * 65 + 50
Evaluate
f(65) = 92857146
This means that. there would be 34898137 female cane toads in 2000 according to the exponential function.
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A bag Contains five blue marbles two green marbles and three yellow marbles what is the probability of Choosing one Green marble and a yellow marble with replacement what does this mean
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.
Find the volume of the rectangular prism with the following dimensions: L=1/2 w=1
h=3/4
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
The product of two consecutive integers is 272. which quadratic equation can be used to find x, the smaller number? x2 1 = 272 x2 − 1 = 272 x2 x − 272 = 0 x2 x 272 = 0
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.
What is an equation?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:
What is the meaning of the sum?
Answer:
the sum is the total amount resulting from the addition of two or more numbers, amounts, or items.
Find the 4th term in the sequence
with the following definition:
a1 = 0
a2 = -6
an = 2(an-1-3)
The sequence an = 2(an-1 - 3) is a recursive sequence
The 4th term of the sequence is -42
How to determine the 4th term?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
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solve for d . 8d-6d=10
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
Which equation can be used to represent the statement? Half of a number minus Severn is one and five tenths.
Which products result in a difference of squares or a perfect square trinomial? check all that apply. (5x 3)(5x – 3) (7x 4)(7x 4) (2x 1)(x 2) (4x – 6)(x 8) (x – 9)(x – 9) (–3x – 6)(–3x 6)
(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.
What is a perfect square?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:
What is the equation, in slope-intercept form, of the line that contains the points (1, -4) and (2, 1)?
X Y
1 -4
2 1
A. y = 5x - 9
B. y = -5x + 9
C. y = -9x + 5
D. y = 9x - 5
Step-by-step explanation:
please mark me as brainlest
Answer:
A Y= 5x-9
Step-by-step explanation:
An airplane covers 900 miles in first 30 minutes and 3040 miles in next 2 hours. What is the speed of the airplane in the first 30 minutes
Answer:
hi how do you do I actually don't know sorry very much
How would I solve this and what’s the answer ?
The number of bacteria on a microscope slide doubles every hour . There are initially 4 bacteria present . Create an explicit function fto model the growth after n hours .
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!
. A bag has 16 marbles in it: 6 red, 4 blue, 3 yellow, and 3 green. A marble is drawn and put back, and
then another marble is drawn. What is the probability that a blue marble was drawn followed by a
yellow marble?
Answer:
64%
Step-by-step explanation:
find the m of arc AB, round to nearest tenth.
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]
PLEASE SOLVE!! DUE RIGHT NOW!!! WILL MARK BRAINLIEST IF ANSWERED AND CORRECT!!!!!
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]
If a point is randomly selected from the rectangular area of the graph, what is the probability that it will be in the blue region? Round answer to the nearest whole percent.
A) 49%
B) 59%
C) 69%
D) 79%
Answer:
D) 79%
Step-by-step explanation:
I had this question on USATestprep and got it right.
URGENT SOLVE 7 8 and 9 THAMK YOU SO MUCHHH
Answer:
7) a
8) b
9) d
Step-by-step explanation:
How Do I Do Goldbach’s Conjecture.
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. Which expression best represents the value of π?
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
What is diameter of circle?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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What is the area of the figure?
A figure can be broken into 2 rectangles. One rectangle has a base of 6.2 inches and height of 8 inches. The other rectangle has a base of 10.2 inches and height of 3 inches.
42.4 square inches
80.2 square inches
92.8 square inches
101.6 square inches
Answer:
80.2
Step-by-step explanation:
Answer:80.2
Step-by-step explanation:
i did the test so yeh edg 2023
Please help i will give brainliest
Answer:
c or a one of the 2
Step-by-step explanation:
What’s the answer for this…
Solve for p
2p + 3 > 2 (p – 3)
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!
Williana’s mother wants to buy a glass tabletop for their dining room table. The tabletop is shaped like a hexagon with sides measuring 27. 75 inches. If the glass costs $0. 06 per square inch, how much will she spend on the glass table top?
$
The total amount that Williana's mother would spend to buy the glass table top is $120.04.
What is the total cost of the glass table top?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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I am struggling with both questions please help.
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
What is the value of x in the given triangle, in inches?
PLEASE PLEASE PLEASE HELP ME WITH THIS QUICK QUESTION!!!!!!!!!
Answer:
y intercept: 4, x-intercept: None
Step-by-step explanation:
Took the test and got it right
HELPPPPPPPPPP!!! pls show work
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
help me answer this pls
p = -4 and q = -6
hope it helps...!!!
Miss Chang ordered a pizza to share with some Grade 8 students. Miss Chang
gave Michael some slices of pizza. Miss Chang gave Amy twice as many slices of
pizza as Michael. Miss Chang gave Mr. Au three times the sum of what she gave
to Michael and Amy. Miss Chang gave 60 slices of pizza to Michael, Amy and Mr.
Au in total. How many slices of pizza Miss Chang give to each person?
The function
f
(
t
)
=
310
(
1.025
)
7
t
f(t)=310(1.025)
7t
represents the change in a quantity over t weeks. What does the constant 1.025 reveal about the rate of change of the quantity
Answer: The function is growing exponentially at a rate of 2.5% every day.
Step-by-step explanation: