Answers
a = 12
k = 0.2
v(x) = 0 at the maximum after differentiation
V(x) = kx(a - x)
The easiest way to do this is to remove the brackets.
V(x) = akx - kx^2 Substitute the constants
V(x) = 12*0.2*x - 0.2x^2
V(x)/dx = 2.4 - 0.4x = 0 at the maximum
2.4 - 0.4x = 0
0.4x = 2.4
x = 2.4/0.4
x = 6
If you don't know any calculus yet, you can do this by completing the square.
Related Questions
Which of the following represent the rule y = x + 2? Input x -3 -2 -1 0 1 Output y -1 0 1 2 3 Input x 3 4 5 6 7 Output y 5 7 9 11 13
Answers
the rule is
y=x+2
then
for x=-3 -------------------> y=-3+2=-1
for x=-2 -------------------> y=-2+2=0
for x=-1 -------------------> y=-1+2=1
for x=0 -------------------> y=0+2=2
for x=1 -------------------> y=1+2=3
for x=3 -------------------> y=3+2=5
for x=4 -------------------> y=4+2=6
for x=5 -------------------> y=5+2=7
for x=6 -------------------> y=6+2=8
for x=7 -------------------> y=7+2=9
the answer is
Input x -3 -2 -1 0 1 Output y -1 0 1 2 3
Input x -3 -2 -1 0 1
Output y -1 0 1 2 3
Explanation:
Given functión y = x + 2
Choices:
1)
Input x -3 -2 -1 0 1
Output y -1 0 1 2 3
2)
Input x 3 4 5 6 7
Output y 5 7 9 11 13
Answer:
You just have to use the sets of input values and find the output values with the given function:
The computes are very simple so you can tell the answer at first sight, because the output, y, is 2 units more than the input, x.
The first set of data fits the function because
x = -3 => y = -3 + 2 = -1
x = -2 => y = -2 + 2 = 0
x = -1 => y = -1 + 2 = 1
x = 0 => y = = 0 + 2 = 2
x = 1 => y = 1 + 2 = 3
That proves that the first set of data represents the given rule.
For the second set of data pick x = 4 => x + 2 = 6 but the correspondant y is 7, so that set does not represent the rule y = x + 2
PLEASE HELP ASAP! I WILL MARK AS BRAINLIEST!!
An irregular polygon is shown below:
Image of irregular polygon with length of 8 units and height of 3 units labeled on left side. Top side length of 4 units, the side adjacent to it on the right is 1 units. The area of the irregular polygon is ____ square units.
Answers
12+8=20.
HOPE THIS HELPED☺☺
Answer:
26
Step-by-step explanation:
Which of the following is a negation of the statement below?
All students like math.
Answers
Answer:
All students do not like math
Step-by-step explanation:
Because if it was 'No students do not like math' would mean 'all students like math'
if the unit selling price is2.50 and the unit cost 1.00 wjat action is needed maintain gross margin percentage when unit cost increase 0.25
Answers
The sum of two numbers is 38. The larger number is 20 more than the smaller number. What are the numbers?
Answers
x+20= larger number
Add the two numbers together and solve for x.
x + (x+20)= 38
combine like terms
2x + 20= 38
subtract 20 from both sides
2x= 18
divide both sides by 2
x= 9 smaller number
To find the larger number, substitute x=9 in the expression x+20.
=x+20
=9+20
= 29 larger number
CHECK:
9 + 29= 38
38= 38
ANSWER: The smaller number is 9 and the larger number is 29
Hope this helps! :)
Barry has an ice tray that makes ice cubes shaped like a cone with a diameter of 2 cm and height of 2 cm. To the nearest cubic centimeter, what is the volume of an ice cube from Barry's tray?
Answers
A rectangle perimeter is 102 inches. The width of the rectangle is 9 inches more than half the length. What are the length and width of the rectangle?
Answers
51 = L + (1/2L +9)
42 = 3/2L
28 = L
W = L/2 +9 = 23
The length and width of the rectangle are 28 inches and 23 inches, respectively.
Dr. Clarence invested $5000 in an account that draws 3.2% interest, compounded annually. What is the total value of the account after 5 years?
Answers
FV=P(1+r/100)^n
where:
FV=future value
p=principle
r=rate
n=time
hence
FV=5000(1+3.2/100)^5
FV=$5,852.865
A bag contains 5 purple marbles and 5 orange marbles. Rahul reaches into the bag and draws one marble without looking. Then he replaces the marble and repeats the experiment. If he repeats the experiment 120 times, how many times should he expect to pull out an orange marble? Please someone help me I need to finish this soon
Answers
Number of favorable possibilities: 5.
Number of all the possibilities: 10.
So the probability of getting an orange marble is: 5/10=1/2.
Since the above probability is 50%, then multiply by the 120 experiment in order to get the number of time we expect an orange marble:
[tex]120\times0.5=60.[/tex]
Answer: 60 times.
Find the fifth term of an=3n-5
Answers
Just replace n with 5 in the expression.
Then evaluate the expression.
[tex] a_n = 3n - 5 [/tex]
[tex] a_5 = 3(5) - 5 = 15 - 5 = 10 [/tex]
Find the next number sequence 192,96
Answers
Is 200 milliliter equivalent to 2 liters
Answers
1 liter = 1000 milliliter
2 liter = 2 * 1000 = 2000 milliliter
200 milliliter = 0.2 liter
Hope this helps :)
A motor bike gets $60 kilometers per gallon of gasoline how many gallons of gasoline would the bike need to travel 240 kilometers
Answers
60 km/ 1 g = 240 km/ x
Cross multiply to find x.
60x = 240
x = 4 The bike would need 4 gallons of gasoline.
To calculate the amount of gasoline needed, divide the distance to travel (240 kilometers) by the vehicle's fuel efficiency (60 kilometers per gallon), which results in 4 gallons.
To find out how many gallons of gasoline a motorbike would need to travel 240 kilometers, we can use the provided fuel efficiency of the bike, which is 60 kilometers per gallon. The calculation involves dividing the total distance by the fuel efficiency:
First, write down the given efficiency: 60 kilometers per gallon.
Next, divide the distance to be traveled (240 kilometers) by the fuel efficiency:
240 kilometers / 60 kilometers per gallon = 4 gallons.
Thus, the motorbike would require 4 gallons of gasoline to travel 240 kilometers.
what is the answer to 3 (k-2)-6=4k-(3k-1)
Answers
3k -6 -6 = 4k -3k +1
Collect terms.
3k -12 = k +1
Add 12, subtract k
3k = k +13
2k = 13
Divide by the coefficient of k
k = 13/2 = 6.5
The probability is 0.2 that a person shopping at a certain store will
Answers
Two fair dice are rolled. what is the (conditional) probability that the first dice lands on an even number given that at least one of the dice lands on a 6?
Answers
Please help me with this question
Answers
.. A = (1/2)*(1/2)*6*(10 cm)*x = 15x
.. 130 cm^2/15 = x ≈ 8.7 cm
_____
In a regular hexagon, the apothem is always the side length multiplied by (√3)/2. It will be 8.7 cm regardless of the shading.
The manager at Jessica's Furniture Store is trying to figure out how much to charge for a couch that just arrived. The couch was bought at a wholesale price of $ 1 1 3 . 0 0 $113.00dollar sign, 113, point, 00, and Jessica's Furniture Store marks up all furniture by 4 5 % 45%45, percent. At what price should the manager sell the couch?
Answers
% mark up= 45%
=original $ + (original $ * 45%)
=113 + (113 * 45%)
=113 + 50.85
= $163.85
ANSWER: The manager should sell the couch for $163.85.
Hope this helps! :)
Which is a cubic function? a. f(x) = 3x + 1 b. f(x) = 3x2 + x + 2 c. f(x) = 5x3 + 2x + 1 d. f(x) = x3 + x4 + 5
Answers
Answer:
Option C is a cubic function
Step-by-step explanation:
Given the options we have to choose the cubic function
Cubic function is the function with degree 3 i.e the highest power of variable is 3.
Option a: [tex]f(x)=3x+1[/tex]
The above polynomial has highest power 1 i.e of degree 1
∴ not a cubic function
Option b: [tex]f(x)=3x^2+x+2[/tex]
The above polynomial has highest power 2 i.e of degree 2
∴ not a cubic function
Option c: [tex]f(x)=5x^3+2x+1[/tex]
The above polynomial has highest power 3 i.e of degree 3
∴ above is a cubic function
Option d: [tex]f(x)=x^3+x^4+5[/tex]
The above polynomial has highest power 4 i.e of degree 4
∴ not a cubic function
What are the roots of the equation?
x^2+24=−11x
Enter your answers in the boxes.
Answers
x=-3 and x=-8.
Explanation:
We can first write this in standard form, ax²+bx+c=0. To do this, we will add 11x to both sides:
x²+24+11x=-11x+11x
x²+11x+24=0.
Now we can factor this. Look for factors of c, 24, that sum to b, 11. Factors of 24 are:
1 and 24 (sum 25)
2 and 12 (sum 14)
3 and 8 (sum 11)
4 and 6 (sum 10).
The factors we need are 3 and 8, since they sum to 11. This gives us factored form:
(x+3)(x+8)=0.
Using the zero product property, we know that in order to have a product of 0, one or both of the factors must be 0. This means we have:
x+3=0 or x+8=0.
Solving the first equation:
x+3-3=0-3
x=-3.
Solving the second equation:
x+8-8=0-8
x=-8.
Answer:
[tex]x_1 = -8[/tex]
[tex]x_2 = -3[/tex]
Step-by-step explanation:
Given the equation:
[tex]x^2+24 = -11x[/tex]
Add 11x to both sides we have;
[tex]x^2+11x+24 = 0[/tex]
Split the middle terms we have;
⇒[tex]x^2+8x+3x+24 = 0[/tex]
⇒[tex]x(x+8)+3(x+8)= 0[/tex]
⇒[tex](x+8)(x+3)= 0[/tex]
By zero product property we have;
x+8 = 0 and x+3= 0
⇒x = -8 and x = -3
Therefore, the roots of the given equations are:
[tex]x_1 = -8[/tex]
[tex]x_2 = -3[/tex]
You borrow $350 from your aunt and agree to repay her $400 in 18 months. What interest rate (to the nearest tenth) are you paying?
Answers
r = I/(P*t) = (400 -350)/(350*1.5) . . . . . . 18 mo = 1.5 yr
r = 1/10.5
r ≈ 9.5%
You are paying about 9.5% simple interest.
what is 5 1/2 × 2 1/3
Answers
Here is your answer:
The proper answer to this question is "77/6".
Here is how:
First turn the mix numbers into fractions:
5 1/2=11/2
&
2 1/3=7/3
Now write the equation:
11*7=77
2*3=6
Your answer is 77/6!
If you need anymore help feel free to ask me!
Hope this help!
Sela's piano lesson starts at 4:45pm the lesson is 30 minutes long
Answers
the piano lesson ends at 5:15
whats the equation of the line?
Answers
Which is the most reasonable conjecture about the data shown in the scatter plot?
I think B? I'm not sure..
Answers
Notice that as the horizontal axis moves away from the origin of coordinates, the vertical axis also moves away from the origin of coordinates.
Answer:
people with more experience, have to earn higher salaries.
option B.
Anyone know the right answer?
Answers
Whatever follows per is on the denominator of the fraction
So it's cm/$
21.5 cm / 17.20 = 1.25 cm / dollars.
It's an odd unit, but that's what it is.
This is very expensive wire. Must be made of something like platinum.
Solve the logarithmic equation. Round your answers to the nearest hundredth. 6+in x=8
Answers
[tex]\bf \textit{Logarithm Cancellation Rules}\\\\ log_a a^x= x\qquad \qquad \boxed{a^{log_ax}=x}\\\\ -------------------------------\\\\ 6+ln(x)=8\implies ln(x)=2\implies log_e(x)=2 \\\\\\ e^{log_e(x)}=e^2\implies x=e^2[/tex]
Answer:
[tex]x=7.39[/tex]
Step-by-step explanation:
we are given equation as
[tex]6+ln(x)=8[/tex]
Since, we have to solve for x
so, we will isolate x on anyone side
Firstly, we will subtract both sides by 6
[tex]6+ln(x)-6=8-6[/tex]
[tex]ln(x)=2[/tex]
now, we can take exponent of e on both sides
[tex]e^{ln(x)}=e^2[/tex]
now, we can use property of log
and we get
[tex]e^{ln(a)}=a[/tex]
we can use it
[tex]x=e^2[/tex]
So, solution is
[tex]x=7.39[/tex]
how many subsets of at least one element does a set of six elements have
Answers
but this also includes a null set, because a null set is a subset of every set
So in our problem = 2^6 -1 = 63 subsets
Choice B
Answer: The required number of subsets is 63.
Step-by-step explanation: We are given to find the number of subsets of at least one element that a set of six elements have.
We know that
the number of subsets of a set having n elements is given by
[tex]N=2^n.[/tex]
So, the number of subsets of the set having six elements will be
[tex]N=2^6=64.[/tex]
Since there is only one subset of every set that contains less than one element (that is the empty set), so
the number of subsets of the set with at least one element is given by
[tex]N-1=64-1=63.[/tex]
Thus, the required number of subsets is 63.
The basketball team has been working hard to increase their points scored. The goal is to increase the number by 9% each game. In last week’s game, they scored just 66 points. In this week’s game they scored 72 points. Did they reach their goal this week?
Yes, they increased their score by 9%.
Yes, they increased their score by 8%.
No, they increased their score by only 6%.
No, they increased their score by only 8%.
Description
Answers
Yes, they reach the goal and increased their score by 9%.
What is percentage increase?% Increase = Increase / Original Number × 100. This gives you the total percentage change, or increase.
Given:
Last week game score=66
Next week game score= 72
Change in score= 72-66=6
So,
% increase= Change in score/original score *100
=6/66*100
=9.09 %
Hence, the score increase by 9.09%.
Learn more about percentage increase here:
https://brainly.com/question/20818421
#SPJ2
How many 10 person juries can be formed from 21 possible candidates???
Answers
This is a combination; out of 21 you are choosing 10:
[tex]_{21}C_{10}=\frac{21!}{10!11!}=352,716[/tex]
Answer:
352,716 juries of 10 people can be formed from 21 possible candidates
Step-by-step explanation:
I am supposing that there are no roles in the jury, which means that the order in which the people are chosen is not important. So i calculate the number of possible juries using the combinations formula.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
10 people from a set of 21
[tex]C_{21,10} = \frac{21!}{10!(21-10)!} = 352,716[/tex]
352,716 10 person juries can be formed from 21 possible candidates