The exponential function is given by [tex]y = 3750(1.0215)^t[/tex], in 2036 the population is 5160.
What is an exponential function?An exponential function is in the form:
y = abˣ
Where y,x are variables, a is the initial value of y and b is the multiplication factor.
Let y represent the population of the chicken after t years after 2021.
In 2021 with an initial population of 3750 chickens, hence a = 3750.
The farm grows at a rate of 2.15% annually, hence b = 1 + 0.0215 = 1.0215
The exponential function is given by [tex]y = 3750(1.0215)^t[/tex]
In 2036, t = 2036 - 2021 = 15 years
[tex]y = 3750(1.0215)^{15}=5160[/tex]
Find out more on exponential function at: https://brainly.com/question/12940982
please help quick!! Jane makes house calls. For each, she is paid a base amount and makes additional money for each hour she works. The graph below shows her pay (in dollars) versus the number of hours worked.
Answer: a) $30 b) $50 c) $20 each hour d) No, because the line does not pass through (0,0)
Step-by-step explanation:
What is Jane's pay if she doesn't work any hours? This question means how much money does Jane gets paid for working 0 hours (y-intercept). At 0 hours on the x-axis, the point on the line is $30. This can be written as (0,30)
If she works 1 hour, the point where 1 hour on the x-axis meets with the y-axis is $50 dollars. This can be written as (1,50).
Her pay increase each hour is the slope in this given equation as the starting payment before completing any hours work is $30 and the line increases at a positive rate of change. The slope is y^2-y^1 divided by x^2-x^1, and we have (0,30) and (1,50). Plugging them into the formula, 50-30 divided by 1-0 is 20; the slope is $20 for every 1-hour increase).
And for determining whether b and c are equal, every answer choice includes whether the line passes through the point (0,0). After answering problem c, you should find that your equation is y=20x+30 (20 as the slope and 30 as the y-intercept). As a reminder, b is $50 and c is $20, so you already know it is not the top two answer choices. So to see if it DOES pass through (0,0) you can plug the values into the equation OR graph it. Either way, you will see that (0,0) does not pass through the line and that 0 does not equal 30 (0=20(0)+30).
Item 1
Question 1
The graph of which of the following functions does not belong with the other three?
$f\left(x\right)=3x^2+6x-24$
$f\left(x\right)=3x^2+24x-6$
$f\left(x\right)=3\left(x-2\right)\left(x+4\right)$
$f\left(x\right)=3\left(x+1\right)^2-27$
Question 2
This is the only function that does not have x-intercepts at $x=$ Response area and $x=$ Response area and a vertex at (Response area , Response area).
Answer:
im too slow i thought this was a gta cheat code
Answer:
I only know the first question and it's f(x)=3x^2+24x-6.
Solve the inequality
Answer:
B
Step-by-step explanation:
Can anyone help me with this?
Answer:
brrooo me too i hate bell work
Step-by-step explanation:
good luck tho
please may someone help me i have been doing this for hours
think of the mirror reflection
imagine folding the sheet on the horizontal line y = 1
A B
C
---------------------- y = 1
C'
A' B'
This is really simple, all you have to do is:
Is it a function? Or not
Answer:
Nah
Step-by-step explanation:
Nah tbh I don't think so if I'm being honest
2. A Cylindrical hot water tank is closed at both ends. The radius of the tank is 0.5m and the height is 0.75.calculate i. The volume of the Cylinder it. The total surface area of the tank (take π =22 out of 7
Answer:
Volume = 0.59 m³
Surface Area = 3.93 m²
Step-by-step explanation:
Given :-
- Radius = 0.5 cm
- Height = 0.75 cm
To Find :-
- Volume
- Surface Area
Solving :-
Volume = πr²h
= 22/7 x (0.5)² x 0.75
= 22/7 x 1/4 x 3/4
= 66/112
= 33/56 m³
= 0.59 m³
Surface Area = 2πr (r + h)
= 2 x 22/7 x 0.5 (0.5 + 0.75)
= 22/7 x 5/4
= 110/28
= 55/14 m²
= 3.93 m²
Solution :-
Volume = 0.59 m³
Surface Area = 3.93 m²
Answer:
1. Formula for volume of a cylinder;
V = πr^2h
where pi is 3.14 or 22/7, r is the radius(0.5) which is squared, and h is the height
plug in the actual values;
V = πr^2h
V = 3.14 * 0.5^2 * 0.75
V = 3.14 * 0.25 * 0.75
V = 0.785 x 0.75
V = 0.58875^3 meters or 0.59^3 meters, is the volume. (round to whatever place they covet)
2. Formula for surface area of a cylinder;
SA = 2πr(r + h)
Plug in the actual values:
SA = 2πr(r + h)
SA = 2 x 3.14 x 0.5(0.5 + 0.75)
SA = 2 x 3.14 x 0.5(1.25)
SA = 2 x 3.14 x 0.625
SA = 3.925 meters or 3.93 meters is the surface area.
need help with this asap!! thank you
Answer:
12 1/4
Step-by-step explanation:
2in
3.5in
1.75in
equals:
12.25 or 12 1/4
Communicate Mathematical Ideas Find the area of the figure. Explain how you found your answer. 10 ft 16 ft 12 ft 18 ft
I'm confused
Explanation:
The trapezoid has area of
A = h*(b1+b2)/2
A = 6*(10+18)/2
A = 84
The rectangle is 18 ft by 12 ft, which leads to an area of 18*12 = 216 sq ft.
Adding the two sub-areas gets us: 84+216 = 300
The total area of the house-shaped figure is 300 sq ft.
A recipe for pasta dough says, “Use 150 grams of flour per large egg.” How much flour is needed if 6 large eggs are used?
Answer:900g
Step-by-step explanation:
150*6=900
Answer:
900 grams of flour
Since you already know that 150 grams of flour is used for one large egg
Just do 150×6 and that will give you the answer of 900.
I hope that helps :)
Kodiak is riding her skateboard
down a hill.
What is the slope?
Please help asap
Answer:
Slope = 1/20
Step-by-step explanation:
Because every 1 second, she goes down 20 feet.
Answer:the answer is the pic
Step-by-step explanation:
hope this helps bye
find 90% of 650 ........
explain if possible
Answer:
585
Step-by-step explanation:
650/10 = 65 (10%)
65 * 9 = 585
a map has a scale of 1 inch = 16 miles. What is the actual distance if the distance on the map is 9 3/4 inches
Answer:
156 miles
Step-by-step explanation:
For every inch, you will have 16 miles
So if you have 9 3/4 inches you can just multiply that with 16
9 3/4*16=156
Our answer is 156 miles
I need help plz!!!! Anyone?
Answer:
30
Step-by-step explanation:
2x30=60
3x30=90
60+90+30=150
Can someone please help me
Answer:
is this geometry. if it is then i can help you
Step-by-step explanation:
[tex]\\ \rm\rightarrowtail \dfrac{NM}{NO}=\dfrac{KM}{KL}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{x}{7}=\dfrac{20}{2x}[/tex]
[tex]\\ \rm\rightarrowtail 2x^2=140[/tex]
[tex]\\ \rm\rightarrowtail x^2=70[/tex]
[tex]\\ \rm\rightarrowtail x=\sqrt{70}[/tex]
Alexa is researching a cure for the coronavirus. She needs 14 test tubes for 4 experiments. The first experiment requires 2 test tubes, and the remainder of the tubes are used evenly over the rest of the experiments. How many test tubes did she use for the last experiment?
Answer:
She used 4 test tubes for the last experiment
Step-by-step explanation:
Total test tubes needed = 14
Experiment 1 = 2 test tubes
Total test tubes remaining = total - used
= 14 - 2
= 12 test tubes
Remaining experiment = 4 - 1
= 3
Test tubes used for the remaining experiment = test tubes remaining / Experiment remaining
= 12 / 3
= 4 test tubes
How many test tubes did she use for the last experiment?
She used 4 test tubes for the last experiment
On a field trip there are 3 adults for every 45 students. Which graph models a relationship with the same unit rate?
Step-by-step explanation:
There is 1 adult for every 15 students. (I don't see any pictures of a graph)
Answer:
There is 1 adult for every 15 students
Step-by-step explanation:
Which of the following statements about parallelograms are true?
Select all that apply.
options:
All parallelograms have 4 right angles.
All parallelograms have rotational symmetry of 90°.
All parallelograms have rotational symmetry of 180°.
A rectangle is a parallelogram.
All parallelograms have exactly 4 lines of symmetry.
Answer:
All parallelograms have 4 right angles.
All parallelograms have rotational symmetry of 180°.
A rectangle is a parallelogram.
Step-by-stepStep-by-step explanation:
let me know if im wrong......have a good day!!!! :)
please please help me!
Answer:
D: -5,-2,1,5
R:10,11,4,
Step-by-step explanation:
The domain is the set of all the values of x.
The range is the set of all the values of y
-4x^2+2x-5(1+x) what is the answer
Answer:
−
4x^2−3x−5
Step-by-step explanation:
Function f is defined by f(x)=3/2x+c. If f(6)=1, what is the value of f(c)?
Please don't just give me an answer, explain it so I understand. Thanks.
Answer:
C = - 8
Step-by-step explanation:
[tex]f(x) = \frac{3}{2} x + c \\ \\ plug \: x = 6 \\ \\ f(6) = \frac{3}{2} \times 6 + c \\ \\ f(6) = 3 \times 3 + c \\ \\ f(6) = 9+ c \\ \\ \therefore \: 1 = 9 + c \: \{ \because \: f(6) = 1 \} \\ \\ 1 - 9 = c \\ \\ \huge \red{ \boxed{ c = - 8}}\\\\
f(c) =\frac{3}{2} c +(-8)\\\\
\huge \orange { \boxed{ f(c) =\frac{3}{2} c -8}} \\\\ [/tex]
Carl is a biologist studying different types of mammals. He finds in one vally that there are 15 plant-eating mammals for every 2 meat-eating mammals. The total population is about 2,900. Which number is the beat estimate of the population of meat-eating mammals in the valley. * 170 *340 *1,450 * 2,560
Answer: 340
Step-by-step explanation:
Given: There are 15 plant-eating mammals for every 2 meat-eating mammals.
i.e. ratio of meat-eating mammals to plant eating animals = 2:15 or [tex]\dfrac2{15}[/tex]
ratio of meat-eating mammals to total population = [tex]\dfrac{2}{17}[/tex]
Total population: 2,900 (approx.)
The population of meat-eating mammals in the valley = [tex]\dfrac{2}{17}\times2900[/tex]
[tex]\approx341[/tex]
From the given options, the best estimate of the population of meat-eating mammals in the valley = 340
Please help me out!
A parabola can be drawn given a focus of (-9, -7) and a directrix of x = 9. Write
the equation of the parabola in any form.
Check the picture below, so the parabola looks more or less like so, with a vertex at (0 , -7), let's recall the vertex is half-way between the focus point and the directrix.
so this horizontal parabola opens up to the left-hand-side, meaning that the "P" distance is a negative value.
[tex]\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\begin{cases} h=0\\ k=-7\\ p=-9 \end{cases}\implies 4(-9)(x-0)~~ = ~~[y-(-7)]^2 \\\\\\ -36x=(y+7)^2\implies x=-\cfrac{1}{36}(y+7)^2[/tex]
PLEASE HELP!
The diameter of a bicycle wheel is 26 inches. how many feet will the bicycle travel if the wheel turns 20 times?
Answer:
163.1 feets bicycle will move in 20 revolution
Step-by-step explanation:
Given:-
Diameter of bicycle wheel is 26 inchThen the radius will be 13 inch
Solution:-
One revolution = Perimeter of bicycle wheel
Perimeter of bicycle wheel :-
= 2πr
= 2×22/7×13
81.7 inch
Total feets the bicycle will travel If it turns 20
times :-
81.7×20
= 1634 inches
Distance covered in feets:-
1634/12
= 163.1 feets
Find the sum.
48 + 45 + 42+. +(-81) + (-84)
Answer:
-810
Step-by-step explanation:
I found the answer but this is correct for khan
A plane leaves airport A and travels 550 miles to airport B on a bearing of N35°E. The plane later leaves airport B and travels to airport C 380 miles away on a
bearing of S72°E. Find the distance from airport A to airport to the nearest tenth of a mile
Answer:
d₃ = 803.9 Miles
Step-by-step explanation:
d₁ = 560 Miles
R₁ = N35⁰E
d₂ = 410 Miles
R₂ = S76⁰E
d₃ = ?
α = 35⁰+76⁰ = 111⁰
We can apply the Law of Cosines as follows
d₃ = √(d₁² + d₂² - 2*d₁*d₂* Cos α)
⇒ d₃ = √(560² + 410² - 2*560*410* Cos 111⁰) = 803.9 Miles
This is probably rly easy but I'm lazy
I'll give you brainliest!!
(The answer choices are 1/12 mph, 3 3/4 mph, 5 mph or 15 mph).
Answer:
5mph
Step-by-step explanation:
driver 1 is driving 45mph (7x6=45)
driver 2 is driving 50mph (10x5=50)
Y is the midpoint of XZ and W is the midpoint of VX.
If VZ=s+52 and WY=7s, what is the value of s?
Answer:
4
Step-by-step explanation:
By the triangle midsegment theorem, 2(YW)=VZ.
This means 2(7s)=s+52, and thus s=4.
-5 – 3(x – 8) = -5x + 19
Answer:
[tex]x=0[/tex]
Step-by-step explanation:
Given the following question:
[tex]-5 - 3(x - 8) = -5x + 19[/tex]
To find the answer expand the equation, add/subtract on both sides, and simplify the expression.
[tex]-5 - 3(x - 8) = -5x + 19[/tex]
[tex]-5-3(x-8)=-3x+19[/tex]
[tex]-3x+19=-5x+19[/tex]
[tex]19-19=0[/tex]
[tex]19-19=0[/tex]
[tex]-3x=-5x[/tex]
[tex]-3x+5x=-5x+5x[/tex]
[tex]-3x+5x=2x[/tex]
[tex]2x=0[/tex]
[tex]2x\div2=x[/tex]
[tex]0\div2=0[/tex]
[tex]x=0[/tex]
Your answer is "x = 0."
Hope this helps.