The number of units x that produces a maximum revenue with the expression given is x = 0.
To find the value of x that maximizes the revenue function R, we can take the derivative of R with respect to x and set it equal to 0. This will give us the critical point of the function.
The derivative of the function R with respect to x is:
R'(x) = 342x - 0.18x²
Setting this equal to 0, we get:
342x - 0.18x² = 0
Solving for x, we find that x = 0 or x = 1900.
However, we need to consider the constraints of the problem to determine which value of x is the optimal solution. If x is a number of units, then x cannot be negative. Therefore, the only valid solution is x = 0.
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Help this is due in 2 minutes
The drone in the Example hovers at 16 meters for a few minutes before being
lowered at a constant rate. It reaches the ground after 6 seconds.
a. Why can the drone's descent be modeled by a linear function?
The drone's descent can be modeled by a linear function as the rate of descent is constant.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.b is the intercept, representing the value of y when x = 0.For this problem, we have that the drone descended 16 meters in 6 seconds, hence the slope m is given as follows:
m = -16/6 = 2.67 m/s.
As the slope is constant, a linear function can model the situation.
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If ∠1 and ∠2 are complementary angles, and m∠1 = 74°; find m∠2
Answer:
m∠2 = 16°
Step-by-step explanation:
m∠1 + m∠2 = 90°
(Complementary angles)
74° + m∠2 = 90°
m∠2 = 90° - 74°
m∠2 = 16°
The measure of the angles 2 is 16 degrees
How to find complementary anglescomplementary angles sum up to 90 degrees.
Given one of the angles to be 74 degrees, hence;
m<1 + m<2 = 90 degrees
74 + m<2 = 90
m<2 = 90 - 74
m<2 = 16 degrees
Hence the measure of the angles 2 is 16 degrees
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Write a polynomial equation for a graph that passes through the point (-1, 60) and has three x-intercepts: (-4,0),
(1, 0), and (3, 0)
Given:
A graph of a polynomial passes through the point (-1, 60) and has three x-intercepts: (-4,0), (1, 0), and (3, 0).
To find:
The equation of the polynomial.
Solution:
A polynomial is defined as:
[tex]P(x)=a(x-c_1)(x-c_2)...(x-c_n)[/tex]
Where, a is a constant and [tex]c_1,c_2,...,c_n[/tex] are the zeros of the polynomial.
The given polynomial has three x-intercepts (-4,0), (1, 0), and (3, 0). It means [tex]-4,1,3[/tex] are the zeroes of the given polynomial and [tex](x+4),(x-1),(x-3)[/tex] are the factors of the given polynomial.
So, the equation of the polynomial is:
[tex]P(x)=a(x+4)(x-1)(x-3)[/tex] ...(i)
It passes through the point [tex](-1,60)[/tex].
[tex]60=a(-1+4)(-1-1)(-1-3)[/tex]
[tex]60=a(3)(-2)(-4)[/tex]
[tex]60=24a[/tex]
Divide both sides by 24.
[tex]\dfrac{60}{24}=a[/tex]
[tex]2.5=a[/tex]
Putting [tex]a=2.5[/tex] in (i), we get
[tex]P(x)=2.5(x+4)(x-1)(x-3)[/tex]
Therefore, the equation of the given polynomial is [tex]P(x)=2.5(x+4)(x-1)(x-3)[/tex].
Jennifer is buying party supplies. She is planning on buying twice as many balloons as noisemakers. The number of napkins Jennifer is planning on buying is one-quarter of the number of noisemakers. If Jennifer buys 65 items, how many noisemakers does Jennifer buy? Write and solve an equation using a variable for this problem. <3
(trying to finish all my hw today since I have irl school starting tomorrow, I'm going to a new school:(
NO LINKSS
Answer:
20 noisemakers; 40 balloons; 5 napkins
Step-by-step explanation:
n = noisemakers amount
b = balloons amount
k = napkins amount
n/4 = k
b = 2n
b + n + k= 65
plug first and second equation into the respected variables in the 3rd equation so:
2n + n + n/4 = 65
multiple both sides by 4 to get rid of fraction
4(2n + n + n/4) = 4*65
8n + 4n + n = 260
13n = 260
n = 20
use n = 13 to get the other variables
b = 2(20)
b = 40
(20)/4 = k
k = 5
58
Find the volume of a prism. The area of the hexagonal base is
m2. Its height is 7
tan30°
m. If necessary, round your answer to the nearest hundredth.
The volume of the prism is about
m?
please help !
Answer:
I dont think this is the right answer but 8.256
Step-by-step explanation:
PLEASE HELP I GIVE BRAINLIEST
B)é a reposta
George decided to use blue paint to paint a wall with two windows. The wall is 12 7 8 ft by 8 ft. Both windows are 3 1 2 ft by 4 1 2 ft rectangles. Can someon egive me an answer as a whole number not a fracction Please.
Un distribuidor debe repartir 879 botellas de cerveza entre 3 bares. Si el pedido del bar A es la mitad que el del bar B y la cuarta parte del bar C. ¿Cuántas botellas le tocan a cada bar?
Answer:
Total number of bottles Bar A get = 126
Total number of bottles Bar B get = 251
Total number of bottles Bar C get = 502
Step-by-step explanation:
Given - A distributor must distribute 879 bottles of beer among 3 bars. If the order of bar A is half that of bar B and a quarter of bar C.
To find - How many bottles do each bar get?
Proof -
Let us assume that
Total number of bottles Bar A get = x
Total number of bottles Bar B get = y
Total number of bottles Bar C get = z
Now,
Given that
Total bottles distributed = 879
⇒x + y + z = 879 ..............(1)
Now,
Given that, the order of bar A is half that of bar B and a quarter of bar C
⇒x = [tex]\frac{1}{2}y[/tex] , x = [tex]\frac{1}{4} z[/tex]
⇒y = 2x .............(2)
z = 4x ..............(3)
Now,
Put the values of y and z in equation (1), we get
x + 2x + 4x = 879
⇒7x = 879
⇒x = [tex]\frac{879}{7}[/tex] = 125.57
⇒y = 2(125.57) = 251.14
⇒z = 4(125.57) = 502.28
∴ we get
Total number of bottles Bar A get = x = 125.57 ≈ 126
Total number of bottles Bar B get = y = 251.14 ≈ 251
Total number of bottles Bar C get = z = 502.28 ≈ 502
Help W algebra!!(logs!)
Paul and his family are discussing how to pay for his college education. The cost of tuition at the college that Paul wants to attend is $9,000 per year. Paul’s parents will pay 85% of the tuition cost every year, and he will pay the rest. Paul has one year to save enough money to attend her first year of college. What is the minimum amount of money he should save every month in order to reach her goal?
Answer:
i think its 637
Step-by-step explanation:
HEEEEEELPPPPPPP!!!!!!!
Answer:
true
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Input(x) Output(y)
32 20
14 2
? −6
-2 -14
-10 ?
Complete the function table and write the function rule.
The function rule is f(x) = x - 12 and the complete table is
Input(x) Output(y)
32 20
14 2
6 −6
-2 -14
-10 -22
Completing the function table and write the function rule.From the question, we have the following parameters that can be used in our computation:
Input(x) Output(y)
32 20
14 2
? −6
-2 -14
-10 ?
The slope is calculated as
m = (2 - 20)/(14 - 32)
m = 1
So, the equation is
y = mx + c
Using the points, we have
1(32) + c = 20
Evaluate
c = -12
So, we have
f(x) = x - 12
Using the above function, we have the following function values
f(-10) = -10 - 12 = -22
x - 12 = -6
x = 6
So, the complete table is
Input(x) Output(y)
32 20
14 2
6 −6
-2 -14
-10 -22
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Two similar cylinders have heights of 3 cm and 6 cm respectively. If the volume of the smaller cylinder is 30 cm3, find the volume of the larger cylinder.Required to answer. Single line text.
Answer:
Volume of big cylinder = 1,438.76 cm (Approx.)
Step-by-step explanation:
Given:
Height of smaller cylinder = 3 cm
Height of big cylinder = 6 cm
Volume of smaller cylinder = 30 cm³
Find:
Volume of big cylinder
Computation:
Volume of smaller cylinder = πr²h
(22/7)(r²)(3) = 30
Radius of small cylinder = 1.783 cm (Approx.)
So,
Radius of big cylinder = 1.783 x 2 = 3.566 cm (Approx.)
Volume of big cylinder = πr²h
Volume of big cylinder = (22/7)(3.566)²(6)
Volume of big cylinder = 1,438.76 cm (Approx.)
ahhh help please find the perimeter
Answer:
12[tex]x^{2}[/tex] + 6y
Step-by-step explanation:
Name the angle pairs that are vertical angles.
Select all angle pairs that are vertical angles.
A. ∠F and ∠L
B. ∠E and ∠N
C. ∠R and ∠V
D. ∠Y and ∠W
Answer:
A and C
Step-by-step explanation:
Vertical angles are angles that are created when two lines cross. They are angles opposite from each other. (another way of saying it:) Vertical angles are angles opposite each other where two lines cross.
Hope this helps! :)
What is the simple interest on $450 at 7% for 2 years?
Answer:
I = $220.50
Step-by-step explanation:
Simple Interest Formula is I = prt
P= Principal $450
R= Rate 0.07
T= Time 7 years
I = (450)(0.07)(7)
I= $220.50
29 + _ = 1000
vabbshs jsjsjsjs
Answer:
dont get it
Step-by-step explanation:
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Which of the following pairs of equations has (5, 3) as a solution?
Answer:
the last one .
Step-by-step explanation:
like my answer and brainliest please
What is the value of the missing angle
Answer:180
Step-by-step explanation:
work out the equation for each graph in the form
y=mx+c
please help !
Answer:
Top first one is y=-3x-3.
Step-by-step explanation:
I know you will be able to figure out the rest. I will explain. The problem if I just give you the answers are you won’t be actually able to solve it when you encounter it on like a test or something.
The explanation:
m=rise/run.
c=y intercept/ where it is on the y-axis.
if you go down on the y axis, it would negative. The opposite will be true if you go up.
I also think it is supposed to be y=Mx+b instead of y=Mx+c.
hopefully that made sense.
Si el precio de un artículo que es $800.000 se aumenta en su cuarta parte, y el nuevo precio se disminuye en su cuarta parte. ¿Cuál es su precio final? Explica el procedimiento
Respuesta:
$ 750 000
Explicación paso a paso:
Precio original = $ 800,000
Si el precio original se incrementa en una cuarta parte;
(800.000 + 1/4 * 800.000) = 800.000 + 200.000 = $ 1.000.000
Nuevo precio = $ 1,000,000
Si el nuevo precio se reduce en un cuarto;
1.000.000 - 1/4 (1.000.000)
1.000.000 - 250.000
= $ 750 000
El precio final es de $ 750.000
A car travels at a steady speed. It covers 60km in 40 minutes. How far will it travel in 3 hours, assuming it continues at the same rate?
Answer:
270km
Step-by-step explanation:
3 hours is 180 minutes
40 minutes - 60km
180 minutes - x km
x = 180/40 * 60 = 270km (the speed is 90km/h)
Greyson reads 36 1/3 pages in 40 minutes, or 2/3 of
an hour. At this rate, how many pages can he read
in one hour?
Answer:
18 1/6+31 1/3= 49 1/2 pages in one hour.
Step-by-step explanation:
Hope this help and have a wonderful day!!!
can some 1 answer this pls
Answer:
you are right
Step-by-step explanation:
x²-2x-8≠0
⇒ (x-4)(x+2)≠0 ⇒ x≠-2 x≠4
Help!!! I will give you a follow
Answer:
Red
Step-by-step explanation:
Let x = number of laps and Let y = time taken to complete laps
She is able to run one lap in 7 minutes
Given this information we want to create an equation
the equation would be
7x = y
Now that we have created an equation we want to find how many laps she can run in 56 minutes.
The time is represented by 7 so we plug in 56 into y
so now we have
7x = 56
Finally we solve for x
*divide each side by 7*
56/7 = 8
7x / 7 = x
we're left with x = 8 meaning that she can run 8 laps in 56 minutes
In conclusion the answer is the Red one
HELPPPPP PLEASE!!!!
Factoring Trinomials X2-4x+24
Answer:
it shouldn't be able to be solved but it depends on your teacher
Step-by-step explanation:
Graph the equation y=5/4x - 10 using the y intercept point and slope
slope is 5/4 and y intercept is -10 from the given equation.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given equation is y=5/4x - 10
In the given equation the slope is 5/4 and y intercept is -10.
to draw the graph let us find few values
x 0 1 2 3 4
y -10 -35/4 -30/4 -25/4 -5
Hence, slope is 5/4 and y intercept is -10 from the given equation.
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2.
Do the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table.
inverse variation; xy = 12
inverse variation; [tex]\frac{y}{x} =12[/tex]
direct variation; y = 12x
direct variation; [tex]y=\frac{12}{x}[/tex]
Answer: Other Answers..
SHOW ANSWER
6*2 =12
4*3 = 12
12*1 = 12
answer is B inverse variation xy=12
...............................................................................................................................................
Step-by-step explanation: Brainly answers.. -_-
6*2 =12
4*3 = 12
12*1 = 12
answer is B inverse variation xy=12
...............................................................................................................................................
Answer:
The correct option is B.
Step-by-step explanation:
From the given table it is notices that the value of y decreases as x increases, therefore it is an inverse variation.
The inverse variation is defined as
Where, k is constant of proportionality.
From the given table it is clear that the value of y is 6 at x=2.
The value of k is 12. So, the required model is
Therefore, the correct option is B.
Answer: B
Step-by-step explanation:
What is the inverse you would use to solve this problem: c/2=16
Answer:
multiplication
Step-by-step explanation: