Answer:
14. 90%
15. 9%
16. 166%
17. 189%
18. 10%
19. 266%
20. 40%
A car sharing service offers a membership plan with a $50 per month fee that includes 10 hours of driving each month and charges $9 for each additional hour
(A) Write a piecewise definition of the cost F(x) for a month in which a member uses a car for x hours
(B) Graph F(x) for 0 < x s 15
(C) Find lim x--->10 F(x), lim x--->10F(x), and lim x--->10F(x), which- ever exist.
Answer:
A) F(x) = 50 + ( x - 10 )*9
B) Graph
C) lim ( x ⇒ 10) F(x) = 50
Step-by-step explanation:
A) F(x) = 50 + ( x - 10 )*9 since the first 10 hours are included in initial fee
B) In Annex
C) lim (x ⇒ 10) F(x) = 50 + ( 10 -10)*9
lim ( x ⇒ 10) F(x) = 50 + 0
lim ( x ⇒ 10) F(x) = 50
to be proportional, there must be a constant of proportionality
true or false
Answer:
True
Step-by-step explanation:
There must be a constant of proportionality.
Hope this helps!
Megan had $235.17 in her bank account. She withdrew $77.98 from the account to spend
on clothing. How much money does she have left in her bank account now?
Answer: 157.19
Step-by-step explanation:
The weekly demand function for x units of a product sold by only one firm is
p = 800 − 0.5x dollars, and the average cost of production and sale is C(with a line on top) = 300 + 2x dollars.
(a) Find the quantity that will maximize profit.
(b) Find the selling price at this optimal quantity.
(c) What is the maximum profit?
Answer:
a) x = 798 is the quantity that maximizes the profit
b)po(x) = 401 $/unit
c)P(max ) = 636105 $
Step-by-step explanation:
The weekly demand function is equal to the price by unit and the Revenue function is weekly demand times quantity of units then:
R(x) = p(x) * x
R(x) = ( 800 - 0,5*x ) * x
R(x) = 800*x - 0,5*x²
The equation for the profit is:
P(x) = R(x) - C(x)
P(x) = 800*x - 0,5*x² - ( 300 + 2*x)
P(x) = 798*x - 0,5*x² - 300
a) P(x) = 798*x - 0,5*x² - 300
Taking derivatives on both sides of the equation:
P´(x) = 798 - x
If P´(x) = 0 then 798 - x = 0
x = 798 is the quantity that maximizes the profit
b) Selling price for the optimal quantity is:
p(x) = 800 - 0,5*x
p(x) = 800 - 0,5* 798
po (x) = 800 - 399
po(x) = 401 $/unit
c) Pmax = ?
P(x) = 798*x - 0,5*x² - 300 by subtitution of x = 798
P(max) = 636804 - 399 - 300
P(max ) = 636105 $
a) The quantity that will maximize profit is [tex]100 \ units[/tex].
b) The selling of at this optimal quantity is [tex]\[/tex][tex]750[/tex] per unit.
c) So, the maximum profit is [tex]\[/tex][tex]25000[/tex].
Demand Function:A demand function is a mathematical equation that expresses the demand for a product or service as a function of its price and other factors such as the prices of the substitutes and complementary goods, income, etc.
The given demand function,
[tex]P=800-\frac{1}{2}x[/tex]
So, the revenue function is,
[tex]R(x)=p.x\\R(x)=800-x-\frac{1}{2}x^{2}[/tex]
[tex]\Rightarrow[/tex]Average cost is
[tex]\bar{C}=300+2x[/tex]
So, the total cost function is,
[tex]C\left ( x \right )=\bar{C}.x \\ C\left ( x \right )=300x+2x^{2}[/tex]
a) Profit function:
[tex]P\left ( x \right )=R\left ( x \right )-C\left ( x \right ) \\ =800x-\frac{1}{2}x^{2}-300x-2x^{2} \\ P\left ( x \right )=500x-\frac{5}{2}x^{2}[/tex]
For maximum,
[tex]{P}'\left ( x \right )=0 \\ 500\left ( 1 \right )-\frac{5}{2}\left ( 2x \right )=0 \\ 500-5x=0 \\ x=100[/tex]
b) Selling Price:
[tex]P=800-\frac{1}{2}x \\ at \ x=100 \\ P=800-\frac{1}{2}\left ( 100 \right ) \\ =\$ 750[/tex]
c) Maximum Profit:
[tex]P\left ( x \right )=500x-\frac{5}{2}x^{2} \\ P\left ( 100 \right )=500\left ( 100 \right )-\frac{5}{2}\left ( 100 \right )^{2} \\ P\left ( 100 \right )=\$ 25000[/tex]
Learn more about of Demand Function: https://brainly.com/question/25938253
pwease help!! i need help to put the answers in the box c:
Answer:
6 months is: 15675
2 months is: 5172.75
1 month is: 2586.37
15 months is: 38795.62
the missing number is: 12 months
Step-by-step explanation:
HELP MEEEE
Solve 1.43p + 2.2 = -4.001. Round your answer to the nearest hundredth. Show your work.
Answer:
p = -4.33636363636
Step-by-step explanation:
subtract 2.2 from -4.001 which equals -4.001-2.2=-6.201 and divide -6.201 by 1.43p and that equals -4.33636363636 so p = -4.33636363636
A spherical balloon is inflated with gas at a rate of 500 cubic centimeters per minute. Find the rates of change of the radius when r = 70 centimeters and r = 95 centimeters.
Answer:
for r= 70 cm
the rate is 0.008cm/s
for r=95cm
the rate= 0.0044cm/s
Step-by-step explanation:
kindly find attached a rough sketch of the circle and a detailed solution of the problem.
Given data
rate dv/dt=500cm^3
r=70cm
r=95cm
Evaluate 8 ÷ -2 · 4²+9. Thanks! Will give brainiest if possible
Lines E, F, and G are parallel lines cut by transversal H as shown below. What is the value of
a+b+c+d?
Answer:
okay now i get it its not easy at first but look at it for a bit and yoll get it
if a person ran 1/2 of a mile in 1/10 of an hour. How far will the person run in one (1) hour?
Step-by-step explanation:
In 1/10 of 1hr = 1/2 mile
10*(1/10) of 1hr = 10(1/2) mile
(10/10) of 1hr = (10/2) mile
1 of 1hr = 5mile
It says, he can run 5 miles in 1 hour
Restless Leg Syndrome and Fibromyalgia
People with restless leg syndrome have a strong urge to move their legs to stop uncomfortable sensations. People with fibromyalgia suffer pain and tenderness in joints throughout the body. A recent study indicates that people with fibromyalgia are much more likely to have restless leg syndrome than people without the disease. The study indicates that, for people with fibromyalgia, the probability is 0.33 of having restless leg syndrome, while for people without fibromyalgia, the probability is 0.03. About 2% of the population has fibromyalgia. Create a tree diagram from this information and use it to find the probability that a person with restless leg syndrome has fibromyalgia.
Answer:
The probability that a person with restless leg syndrome has fibromyalgia is 0.183.
Step-by-step explanation:
Denote the events as follows:
F = a person with fibromyalgia
R = a person having restless leg syndrome
The information provided is as follows:
P (R | F) = 0.33
P (R | F') = 0.03
P (F) = 0.02
Consider the tree diagram attached below.
Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:
[tex]P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}[/tex]
[tex]=\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=\frac{0.0066}{0.0066+0.0294}\\\\=0.183333\\\\\approx 0.183[/tex]
Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.183.
One of the dog treats in Shelley’s shop is 8 inches long and 3.2 inches wide. She wants to make a miniature version that has proportional dimensions. If the miniature treat will be 3 inches long, how wide should it be?
Answer:
1.2in
Step-by-step explanation:
Answer:
(1) 1.2 inches
(4.3 x 10^-3)(2 x 10^-2) in standard form
Answer:
8.6•10^-5 or 0.000086
a stone which is dropped into a dry well hits the bottom in 2.2s how deep is the well. take g=10m/s
Answer:
23.7m
Step-by-step explanation:
Given parameters:
Time taken = 2.2s
Acceleration due to gravity = 10m/s
Unknown:
Depth of the well = ?
Solution:
To solve this problem, we simply apply one of the motion equations;
S = ut + [tex]\frac{1}{2}[/tex] gt²
where S = depth of the well
u = initial velocity
t = time taken
g = acceleration due to gravity
Input the parameters and solve for S;
Note initial velocity = 0;
S = [tex]\frac{1}{2}[/tex] x 9.8 x 2.2²
S = 23.7m
On the beach boardwalk there are 20 different places to get food 20% of them are ice cream shops how many ice cream Shoppe’s are in the park
Answer:
( 4 )
Step-by-step explanation:
Hope this helps
also go to g-mail to check out my
Type in Brandon Acevedo
okay
Please find the area and circumference of
the circle below
Answer:
area: 153.86
Circumference: 43.96 :D
Step-by-step explanation:
If you have metamorphic rock and melt it, what does it become?
A. Magma
B. Minerals
C. Sedimentary Rock
D. Soil
Step-by-step explanation:
When metamorphic rock melts it turns into magma.
13
In the figure shown below, if line mis parallel to line n, then find the value of x. (This is a 2 part question.)
m
(2x-10)
(65 - x)
Part A
Write the equation to find the value of x. (DO NOT find x, just write the equation.)
(2x - 10) (65 - x)
Part B
What is the value of x?
Y
Answer:
2x-10 = 65-xStep-by-step explanation:
just add up both alternate internal angles as they are both equal
so, the equation is: 2x-10 = 65-x
Answer:
The right equation will be 2x - 10 = 65 - x (you were wrong lol)
Step-by-step explanation:
We have: 2x - 10 = 65 - x
=> 2x - 10 + x = 65
=> 3x = 65 + 10 = 75
=> x = 75/3 = 25
P/S: After some little chats with the others, this might be wrong :(
(-8) X 2/3 i NEED the answer help me
-5.33333333333
I used a calulator can I get brainliest please
Is f^-1(x) = x/9 - 5/9 a function?
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Given:
⠀[tex]f-¹(x)=\frac{x}{9}-\frac{5}{9}[/tex].
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • To find out:
⠀Is a function [tex]f-¹(x)=\frac{x}{9}-\frac{5}{9}[/tex] or not.
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Hello, ZoFlo2020!
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Answer (Response Explanation):
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀No, it is not. Such an example is not even possible to solve, to be honest. It doesn’t have a single solution to find at least an approximate part of its solution and answer.
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Sincerely, Your ElskerNorge! :)
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
Is the square root of 14 +6.2 less than 3 pi - 8.2?
Answer:
No. √14 + 6.2 is more than 3π - 8.2
Step-by-step explanation:
√14 + 6.2
√20.2
≈ 4.494
π ≈ 3.14159
3(3.14159) - 8.2
9.42577 - 8.2
1.22477
Therefore, the answer is no.
What is 4/9 - 1/3 =
help
Answer:djjdd
Please I love free points secy
Step-by-step explanation:
Ok but guys is 10009
PLEASE ANSWER I WILL GIVE YOU BRAINLIEST!
Name the points which satisfy the conditions. In the second quadrant
9514 1404 393
Answer:
C, M
Step-by-step explanation:
The second quadrant is the upper left quadrant. There, x-values will be negative and y-values will be positive.
__
Point G is on the boundary with the 3rd quadrant, so is probably not considered to be in either of those quadrants.
Answer: C M
Step-by-step explanation:
Solve for j if aj+k=v
Answer:
j=v-k/a
Step-by-step explanation:
It's like order of operations backwards. So first, you would get rid of the k, by subtracting it from both sides. Then, to isolate j you would divide both sides by a.
HELP WITH NUMBER 6 ASAP PLEASE!!!!!!!
Brandon enters bike race. He bikes 9 1/2 miles every 1/2 hour
The slope of a line is 15 and the point (3, -1) lies
on the line. Write an equation of the line in
point-slope form.
Answer:
The answer is
[tex] \huge y + 1 = 15(x - 3) \\ [/tex]
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question we have the final answer as
[tex]y + 1 = 15(x - 3)[/tex]
Hope this helps you
Aging workers of the Neotropical termite, Neocapritermes taracua, develop blue crystal containing glands ("backpacks") on their backs, When they fight intruding termites and are hampered, these "blue" termites explode, and the glands spew a sticky liquid (Sobotnik et al. 2012). The following data are from an experiment that measured the toxicity of the blue substance. A single drop of the liquid extracted from blue termites was placed on individuals of a second termite species, Labiotermes labralis, and the number that were immobilized (dead or paralyzed) within 60 minutes was recorded. The frequency of this outcome was compared with a control treatment in which liquid from glands of "white" termites lacking the blue crystals was dropped instead.
Is the blue liquid toxic compared to liquid from white termites?
Liquid source Unharmed Immobilized
Blue workers 3 37
White workers 31 9
Answer:
Yes blue liquid is toxic
Step-by-step explanation:
H0: p1 = p2
H1: p1>p2
For blue
We calculate proportion as
37/40 = 0.925
For white
9/40 = 0.2250
To get p
(X1 + x2)/(n1 + n2)
= 0.5750
After calculating the z as statistic (please check attachment) I got 6.33
P value = 0.0000
We reject null hypothesis and say in conclusion that enough evidence exists for us to say blu liquid is toxic!
Thank you!
Think of a problem that you may be interested in that deals with a comparison of two population means. Propose either a confidence interval or a hypothesis test question that compares these two means. Gather appropriate data and post your problem (without a solution) in the discussion topic. Later, respond to your own post with the solution for others to check their work. For example, you may want to know if the average weight of a rippled potato chip is the same as the average weight of a non-rippled potato chip. You may weigh rippled regular potato chips fro m a large bag and find weights of 1.7,1.9,2.4,1.3, 1.7, and 2.0 grams. You may weigh non-rippled potato chips from another larg bag and find weights of 1.8, 1.6,1.9, 1.9, and 1.4 grams. Assume a random sample was drawn. Think of a problem that you may be interested in that deals with a comparison of two population proportions. Propose either a confidence interval or a hypothesis test question that compares these two proportions. Gather appropriate data and post your problem (without a solution) in the discussion topic. Later, respond to your own post with your own solution. For example, you may believe that the proportion of adults in California who are vegetarians is more than the proportion of adults in New Hampshire who are vegetarians. In two independent polls, you may find that 109 out of 380 California residents are vegetarians and 39 out of 205 New Hampshire residents are vegetarians. For your response to a classmate (two responses required, one in each option), solve your classmate's confidence interval or hypothesis test problem, using a significance level not previously used Make sure that you use appropriate terminology and specify whether you are using the classical method or the p-value method.
Answer:
Responds to my friend
Decision rule
Fail to reject the null hypothesis
Conclusion
There is no sufficient evidence to conclude that the proportion of residents in California who are vegetarians is higher than the proportion in New Hampshire who are vegetarian
Step-by-step explanation:
Here we are going to consider this question
For example, you may believe that the proportion of adults in California who are vegetarians is more than the proportion of adults in New Hampshire who are vegetarians. In two independent polls, you may find that 109 out of 380 California residents are vegetarians and 39 out of 205 New Hampshire residents are vegetarians.
Here we are going to be solving the hypothesis test problem and we will be making use of the p-value method
From the question the we are told that
The first sample size is [tex]n_1 = 380[/tex]
The second sample size is [tex]n_2 = 205[/tex]
The number of California residents that are vegetarian is [tex]k = 109[/tex]
The number of New Hampshire resident that are veterinarian is [tex]u = 39[/tex]
Generally the sample proportion for California residents is
[tex]\^ p_1 = \frac{k}{n_1}[/tex]
=> [tex]\^ p_1 =\frac{109}{380}[/tex]
=> [tex]\^ p_1 = 0.2868 [/tex]
Generally the sample proportion for New Hampshire residents is
[tex]\^ p_2 = \frac{39}{205}[/tex]
=> [tex]\^ p_2 = 0.1902 [/tex]
The null hypothesis is [tex]H_o : p_1 -p_2 = 0[/tex]
The alternative hypothesis is [tex]H_a : p_1 -p_2 > 0[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{(\^ p_1 - \^ p_2 ) -0}{\sqrt{ \frac{\^ p_1 (1-\^p_1 )}{n_1} + \frac{\^ p_2 (1- \^p_2)}{n_2} } }[/tex]
=> [tex]t = \frac{( 0.2868 - 0.1902) -0}{\sqrt{ \frac{0.2868 (1-0.2868 )}{380} + \frac{0.1902(1- 0.1902)}{205} } }[/tex]
=> [tex]t = 0.036[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n_1 + n_2 -2[/tex]
=> [tex]df = 380 + 205 -2[/tex]
=> [tex]df = 583/tex]
Generally the probability of [tex]t = 0.036[/tex] at a degree of freedom of [tex]df = 583/tex] from the t- distribution table is
[tex]p-value = P(t > 0.036) = 0.48564732[/tex]
Let take the level of significance to be [tex]\alpha = 0.05[/tex]
So from the values obtained we see that [tex]p-value > \alpha[/tex] hence the decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the proportion of residents in California who are vegetarians is higher than the proportion in New Hampshire who are vegetarian
How can you use a number line to find the sum of -8 and 9?
Answer:
The answer is 1
Step-by-step explanation:
If you look at the number line and start counting from -8 and count 9 to the right then the number that you end on is the answer.