Answer:
-7
Step-by-step explanation:
The daily cost, in dollars, to produce
x
gallons of handmade ice cream is
C
(
x
)
=
x
+
11
. The price-demand function, in dollars per gallon, is
p
(
x
)
=
−
0.15
x
+
20.8
Find the daily profit function.
Find the maximum daily profit. any gallons of ice cream need to be sold each day to maximize the profit.
Find the price to charge per gallon to maximize profit
9514 1404 393
Answer:
f(x) = -0.15x^2 +19.8x -11 . . . profit function$642.40 maximum daily profit66 gallons sold$10.90 per gallonStep-by-step explanation:
Given:
daily cost function c(x) = x +11
price-demand function p(x) = -0.15x +20.8
Find:
daily profit function
maximum daily profit
quantity sold for maximum profit
price for maximum profit
Solution:
The revenue is the product of price and demand:
x·p(x) = -0.15x^2 +20.8x
The profit is the difference between revenue and cost:
f(x) = x·p(x) -c(x) = -0.15x^2 +20.8x -x -11
f(x) = -0.15x^2 +19.8x -11 . . . . . daily profit function
__
The maximum profit will be had a the vertex of the curve, found where ...
x = -(19.8)/(2(-0.15)) = 66
f(66) = (-0.15·66 +19.8)66 -11 = 9.9·66 -11 = 642.40
The maximum profit is $642.40, when 66 gallons of ice cream are sold.
__
The price that will result in demand of 66 gallons of ice cream is ...
p(66) = -0.15(66) +20.8 = 10.9
The price to charge per gallon to maximize profit is $10.90.
A picture of Margo's garden is shown below. It is made of 2 rectangular prisms. She wants to fill it with dirt. She needs to find the volume of the garden to know how much dirt to buy.
9 cubic feet
10 cubic feet
98 cubic feet
107 cubic feet
Answer:
9 cubic feet
Step-by-step explanation: You multiply them all then divide 9 by the greatest number that fits in 107Can someone please help I can’t figure this out :(
Answer:
78
Step-by-step explanation:
An investigator wishes to estimate the mean number of flight hours of pilots who fly for regional airlines. Assuming that the standard deviation of the number of hours is 120 hours, the minimum sample size needed in order to construct a 99% confidence interval for the mean number of hours of flight time of all such pilots, to within 50 hours, is about
Answer:
The minimum sample size needed is 39.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Assuming that the standard deviation of the number of hours is 120 hour
This means that [tex]\sigma = 120[/tex]
The minimum sample size needed in order to construct a 99% confidence interval for the mean number of hours of flight time of all such pilots, to within 50 hours, is about?
The minimum sample size needed is n.
n is found when [tex]M = 50[/tex]
So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]50 = 2.575\frac{120}{\sqrt{n}}[/tex]
[tex]50\sqrt{n} = 2.575*120[/tex]
[tex]\sqrt{n} = \frac{2.575*120}{50}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*120}{50})^2[/tex]
[tex]n = 38.19[/tex]
Rounding up
The minimum sample size needed is 39.
which angles are vertical to each other
Answer:
You need to attach the picture of the angles
Answer:
right
Step-by-step explanation: because ones left and 1 right
4. The measures of segment BS and segment PS are both 4.5 feet and m_PBS = 56°.
a. Find the measure of BSP. Item 2 says that “Angle QPS is supplementary to PSR."
b. Is BPS a unique triangle, or can more than one triangle be formed using the given segment
lengths and angle measures? Explain.
Benson played for 10 minutes after reaching home. He watched television for another 20 minutes before eating his lunch. His lunch, which lasted 20 minutes, was finished at 2:50pm. At what time did Benson reach home?
Answer:
At 2:00.
Step-by-step explanation:
You take 10 minutes off 2:50 for play time add the two 20s together then subtract 40 to get 2:00.
PLS HELP PLS PLS PLSPLS HELP WILL BE SO GRATEFUL I WILL DEFINETLY GIVE BRAINLIEST NO ONE HAS BEEN HELPING ME IVE BEEN ASKING FOR 2 DAYS PLSSSS :(
Candice wanted to get into shape for the tennis match. Her coach said she needed to include running for at least 10 minutes a day. This week Candice ran every day for 12 minutes. What is the total distance Candice ran?
A. The missing information is the distance Candice can run per minute.
B. The missing information is there are 7 days in 1 week.
C. The missing information is the distance Candice can run in one day.
D. The missing information is the amount of time Candice has to get into shape before the match.
Answer:
The answer is C.
Step-by-step explanation:
They don't explain how to find the total distance Candice ran.
Answer:
C
Step-by-step explanation:
Which of the following is √80 simplified?
Which graph represents a function with direct variation?
Answer:
Second graph with straight diagonal lines
Step-by-step explanation:
The second graph with straight diagonal lines represents the direct variation
The X and Y axis represents two variables A and B and these two variables in case of second graph with straight lines are directly proportional to each other.
Hence, If value of variable A increases, then value of variable B will also increase
Answer:
I believe it's the third one
explanation:
its one of the only graphs that the line passes through the orgin, and its linear.
Hope it helps and plase forgive me if I'm wrong
A friend tells you about a recent study dealing with the number of years of teaching experience among current college professors. He remembers the mean but can't recall whether the standard deviation was 6 months, 6 years or 16 years. Which was it?
Answer:
6 years
Step-by-step explanation:
29 of the 42 athletes who participated in
the parkrun were female. Determine
the probability of randomly selecting
a male athlete from this group.
A circle's radius is 19 inches. What is the circle's area?
Use 3.14 for pi and round your answer to the nearest tenth.
If you get it correct you will get Brainlyst
Answer: 1133.5
Step-by-step explanation:
Answer:
1133.5
Step-by-step explanation:
area = 3.14 (19)square
3.14 (361)
1133.54 ( round nearest ten)
1133.5
Grant started a marathon at 8:00 am. He took 4 hours 49 minutes to complete the marathon. When did he cross the finish line
V is a vector space. Mark each statement True or False. Justify each answer.
a. R^2 is a two-dimensional subspace of R^3.
b. The number of variables in the equation Ax D 0 equals the dimension of Nul A.
c. A vector space is infinite-dimensional if it is spanned by an infinite set.
d. If dimV D n and if S spans V, then S is a basis of V.
e. The only three-dimensional subspace of R^3 is R^3 itself.
Answer:
FalseFalseFalseFalseTrueStep-by-step explanation:
A) False ; R^2 is not a two dimensional subspace of R^3 because Vector R^2 will have 2 entries while vector R^3 has 3 entries
B) False : The number of variable in the equation is not equal to the Dimension because dim of Null A represents the number of free variables
C) False : This is because you can span R^3 with an infinite set of vectors but that doesn't make it infinite dimensional subspace
D) False : This is only possible when S has exactly n elements/vectors
E) True : Since R^3 is a three dimensional subspace it is spanned with 3 vectors whom are linearly independent
Find the mean absolute deviation (MAD) of the data in the pictograph below.
Answer:
its 1
Step-by-step explanation:
Please Help
The volume of a cylinder is 81 T cm. If the radius is 3 cm, what is the height
of the cylinder?
3 cm
O A. 13.5 cm
O B. 27 cm
O C. 4.5 cm
O D. 9 cm
Answer:
Step-by-step explanation:
Volume of a cylinder of radius
r
and height
h
is
π
r
2
h
As radius is
3
and area is
81
π
cubic units,
π
3
2
×
h
=
81
π
or
9
π
×
h
=
81
π
Hence
h
=
81
π
9
π
=
9
Answer:
9 cm
Step-by-step explanation:
Solve for x.
3x + 7 = 28
O A. x=-7
OB. x= 2.3
O c. x=7
OD. = 11.6
E. x = 18
Answer:
The answer is C, x = 7.
Step-by-step explanation:
3x + 7 = 28
-7. -7
3x = 21
/3. /3
x = 7
The graph for y≥-3.
true
false
helpp me
Answer:
I think it's false
Step-by-step explanation
is my answer correct?
Answer:
yes, it is correct i don't know what else to type i need to type atleast 20 characters to answer
Find the length of side C when a=40 and b=9
Answer:
The Pythagorean theorem states that a2 + b2 = c2 in a right triangle where c is the longest side. You can use this equation to figure out the length of one side if you have the lengths of the other two.
what is the measurements of the circle?
Answer:
what is the circle
○ YW 42
Evaluate the expression below when x = 2 and z = 12. z + 5x^3
Answer:
52
Step-by-step explanation:
z + 5x ^3
12 + 5*(2^3)
12 + 5 * 8
12 + 40
52
Pls help ignore my answers :v.
so u r already finished? don't post it next time
Please please please help no link no links no links
Answer:
400
Step-by-step explanation:
V = a² * h/3
Plug in your values:
V = 10² * 12/3
Then solve:
100 * 4 = 400
Some researchers have conjectured that stem-pitting disease in peach-tree seedlings might be controlled with weed and soil treatment. An experiment is conducted to compare peach-tree seedling growth when the soil and weeds are treated with one of two herbicides. In a field containing 20 seedlings, 10 are randomly selected throughout the field and assigned to receive herbicide A. The remainder of the seedlings is assigned to receive herbicide B. Soil and weeds for each seedling are treated with the appropriate herbicide, and at the end of the study period, the height in centimeters is recorded for each seedling. The following results are obtained: Herbicide A = 94.5 cm s1 = 10 cm Herbicide B = 109.1 cm s2 = 9 cm
Required:
1. What is a 90% confidence interval (use the conservative value for the degrees of freedom) for μ2 – μ1? a. 14.6 ± 7.00 b. 14.6 ± 7.38 c. 14.6 ± 7.80 d. 14.6 ± 9.62
2. Suppose we wish to determine if there tends to be a difference in height for the seedlings treated with the different herbicides. To answer this question, we decide to test the hypotheses H0: μ2 – μ1 = 0, Ha: μ2 – μ1 ≠0. What is the value of the two-sample t statistic?
a. 14.6
b. 3.43
c. 2.54
d. 7.80
3. What can we say about the value of the P-value?
a. P-value < 0.01
b. 0.01 < P-value < 0.05
c. 0.05 < P-value < 0.10
d. P-value > 0.10
4. If you use the 0.05 level of significance, what conclusion would you reach?
a. The evidence is not sufficiently strong to reject the null hypothesis.
b. There is sufficient evidence to reject the null hypothesis.
c. Cannot be determined by the information given.
Answer:
1. b. 14.6 ± 7.38
2. b. 3.43
3. b. 0.01 < P-value < 0.05
4. b. There is sufficient evidence to reject the null hypothesis.
Step-by-step explanation:
The hypothesis test is used to test the null hypothesis against the alternative hypothesis. The p value of the test determines whether to accept or reject the null hypothesis. In the given scenario the p value is less than 0.05 so there is sufficient evidence against the null hypothesis in favor of alternative hypothesis.
Please help me
This is analytic geometry
Answer:
The coordinates of point B are (-3,-3).
Step-by-step explanation:
Let [tex]A(x,y) = (6,-6)[/tex], [tex]C(x,y) = (-6,-2)[/tex] and [tex]\overrightarrow{AB} = \frac{3}{4}\cdot \overrightarrow{AC}[/tex], then we have the following formula by vectorial definition of a line segment:
[tex]\overrightarrow{AB} = \frac{3}{4}\cdot \overrightarrow{AC}[/tex]
[tex]B(x,y) -A(x,y) = \frac{3}{4}\cdot [C(x,y)-A(x,y)][/tex]
[tex]B(x,y) = \frac{3}{4}\cdot C(x,y) +\frac{1}{4}\cdot A(x,y)[/tex]
[tex]B(x,y) = \frac{3}{4}\cdot (-6,-2)+\frac{1}{4}\cdot (6,-6)[/tex]
[tex]B(x,y) = (-3, -3)[/tex]
can someone solve these for me? its factoring trinomials
you can dm the answers on ig as well if you'd like
Answer:
1.) [tex]\left(x-3\right)\left(x+6\right)[/tex]
2.) [tex]\left(a-3\right)^2[/tex]
3.) [tex]=\left(t+8\right)\left(t-9\right)[/tex]
4.) [tex]=\left(b+7\right)^2[/tex]
Step-by-step explanation:
2.) [tex]=a^2-2a\cdot \:3+3^2[/tex], [tex]\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a-b\right)^2=a^2-2ab+b^2[/tex].
[tex]a=a,\:b=3[/tex]
[tex]=\left(a-3\right)^2[/tex]
3.) [tex]=\left(t^2+8t\right)+\left(-9t-72\right)[/tex][tex]=t\left(t+8\right)-9\left(t+8\right)[/tex], [tex]\mathrm{Factor\:out\:common\:term\:}t+8[/tex].
[tex]=\left(t+8\right)\left(t-9\right)[/tex]
PLEASE HELP DUE IN 2 HOURS!
4.22 g/cm to lbs/ft
Answer:
The answer is 0.28 lbs/ft or 0.3 lbs/ft, if rounded.
Step-by-step explanation:
In order to solve, divide the mass / length value by 14.882.
I hope this helps you.