Answer:
a) c = 90 +2.50t
b) 17
c) 126
Step-by-step explanation:
a) We're told that the cost for 60 T-shirts is $240, but we know that the marginal cost for those 60 shirts is ...
60($2.50) = $150
Joanne seems to have fixed costs of $240 -150 = $90. So, her linear cost function seems to be ...
c = 90 +2.50t . . . . . . . where c is the cost to produce t shirts
__
b) Joanne's revenue function is ...
r = 8t
so her profit function is ...
p = r -c = 8t -(90 +2.50t)
p = 5.50t -90
This will be zero for ...
0 = 5.50t -90
0 = t -16.364
Joanne must produce and sell 17 T-shirts to cover her production cost.
__
c) Profit will be 600 when ...
600 = 5.50t -90
690 = 5.50t
690/5.50 = t = 125.455
Joanne must produce and sell 126 T-shirts to make a profit of $600.
_____
Comment on results
Note that fractional T-shirt sales are involved in making the numbers come out exactly. We have elected to round up, so that slightly more profit is made than the exact amounts of $0 or $600. Rounding to the nearest integer would give values one shirt less than what we have reported.
Plz answer BRAINLIEST Choose the statement that is true of both triangles.
9514 1404 393
Answer:
A. Side lengths of 4 units and 2 units and a nonincluded angle of 30°
Step-by-step explanation:
Both triangles have sides marked 2 units and 4 units, but the angle is not between them. The angle is opposite the short side in one triangle (which will be a right triangle), and opposite the long side in the other triangle (which will be an obtuse triangle). The sides and angles of the two triangles will not have the same measures, and neither will have an angle of 100°.
The first description is appropriate:
Side lengths of 4 units and 2 units and a nonincluded angle of 30°
Two figures are arranged as shown. Which of the following can be used to the area of the figure
shaded light gray?
9
9
Answer:
[tex]9^{2} -x^{2}[/tex]
Step-by-step explanation:
The figure is shown in the image attached.
Notice that the shaded light gray area can be calculated by the difference of the bigger square and the smaller square.
The area of the bigger square is: [tex]A_{big}=9^{2}[/tex]
The area of the smaller square is: [tex]A_{small}: x^{2}[/tex]
The difference between these areas is: [tex]A=9^{2} -x^{2}[/tex]
Therefore, the expression that can be used to find the light gray area is: [tex]9^{2} -x^{2}[/tex]
Additionally, the expression [tex]x(9-x)+9(9-x)[/tex] is also a right answer, because it's equivalent to the first answer.
[tex]x(9-x)+9(9-x)=9x-x^{2} +81-9x=81-x^{2} =9^{2} -x^{2}[/tex]
Find the limit of the function by using direct substitution lim (x^2+8x-2) x-> 2
Answer:
[tex] lim_{x \to 2} x^2 +8x -2 [/tex]
And using the properties of limit we got:
[tex] lim_{x \to 2} x^2 +8 \lim_{x \to 2} x - lim_{x \to 2} 2 [/tex]
And replacing we got:
[tex] 2^2 + 8 (2) -2 = 4 +16-2 =18[/tex]
Step-by-step explanation:
For this case we want to find this limit:
[tex] lim_{x \to 2} x^2 +8x -2 [/tex]
And using the properties of limit we got:
[tex] lim_{x \to 2} x^2 +8 \lim_{x \to 2} x - lim_{x \to 2} 2 [/tex]
And replacing we got:
[tex] 2^2 + 8 (2) -2 = 4 +16-2 =18[/tex]
Volume of a sphere in terms of π with a radius of 2
Answer:
33.51
Step-by-step explanation:
You need to use the equation [tex]\frac{4}{3} \pi r[/tex]³.
Hope this helps.
Answer:10.7π
Step-by-step explanation:
radius=r=2
volume of sphere=4/3 x π x r x r x r
Volume of sphere=4/3xπx2x2x2
Volume of sphere=(4xπx2x2x2) ➗ 3
Volume of sphere=32π ➗ 3
Volume of sphere=10.7π
Kali has a 666 meter ladder that she wants to use to get her cat out of a tree. She puts the base of the ladder 222 meters away from the base of the tree.
How high into the tree will the ladder reach?
Round your answer to the nearest tenth of a meter.
I think it is 123 meters Answer:
Step-by-step explanation:
James rented a car for 4 days plus $0.25 per mile. He took the collision waiver for $19.95 per day. He drove the car 352 miles. Gasoline cost $41.38. What was the total cost of renting the car?
1 point
$61.58
$149.33
$413.33
$209.18
Answer:
$209.18
Step-by-step explanation:
352 miles*$0.25 per mile = $88 for mileage.
$19.95 per day * 4 days = $79.80
88+ 79.80 + 41.38 for gass = $209.18 Total Cost
Is OCD and perfectionism the same thing. I need an explanation thanks
Answer: ocd can be characterized as an extreme form of perfectionism, where anything can lead to anxiety fear, and distress. perfectionism is a personality trait where one drives for flawless ness, it becomes ocd when those strives cause literal disorder in ones life
Step-by-step explanation:
A local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has determined that home delivery will be successful if the average time spent on the deliveries does not exceed 34 minutes. The owner has randomly selected 23 customers and has delivered pizzas to their homes in order to test if the mean delivery time actually exceeds 34 minutes. Suppose the P-value for the test was found to be 0.0290. State the correct conclusion
Answer:
We conclude that the mean delivery time actually exceeds 34 minutes.
Step-by-step explanation:
We are given that the owner of the store has determined that home delivery will be successful if the average time spent on the deliveries does not exceed 34 minutes.
The owner has randomly selected 23 customers and has delivered pizzas to their homes in order to test if the mean delivery time actually exceeds 34 minutes. Suppose the P-value for the test was found to be 0.0290.
Let [tex]\mu[/tex] = average time spent on the deliveries.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] [tex]\leq[/tex] 34 minutes {means that the mean delivery time is less than or equal to 34 minutes}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 34 minutes {means that the mean delivery time actually exceeds 34 minutes}
Now, the decision rule based on the P-value to whether null hypothesis should be accepted or rejected is given by;
If the P-value of test statistics is less than the level of significance, then we will reject our null hypothesis.If the P-value of test statistics is more than the level of significance, then we will not reject our null hypothesis.Here, we assume that the level of significance is 5%.
Since, the P-value of test statistics is less than the level of significance as 0.029 < 0.05, so we have sufficient evidence to reject our null hypothesis.
Therefore, we conclude that the mean delivery time actually exceeds 34 minutes.
solve for x round to the nearest tenths
Answer:7.3
Step-by-step explanation:
hypotenuse=h=16
Adjacent=x
Φ=63°
CosΦ=x/h
Cos63=x/16
Cross multiply
16 x cos63=x
Cos63=0.4540
16 x 0.4540=x
7.3=x
x=7.3
Answer FAST! This is a HARD question! Good luck
Answer:
Step-by-step explanation:
I only know that number 2 is 56.
I have f(x)=x^2+x+5. Then (f(x)-f(a))/(x-a).
Answer:
(f(x) -f(a))/(x -a) = x +a +1
Step-by-step explanation:
(f(x) -f(a))/(x -a) = ((x^2 +x +5) -(a^2 +a +5))/(x -a) = (x^2 -a^2 +x -a)/(x -a)
= ((x -a)(x +a) +(x -a))/(x -a) = x +a +1
(f(x) -f(a))/(x -a) = x +a +1
A submarine is 48 m below sea level, and it descends 28 m.
How far below sea level is it?
Answer:
The submarine is 76 meters below sea level.
Step-by-step explanation: 48+28=76
If the sub is already 48 meters below sea level, and then it travels another 28 meters further down, you simply add 28 to 48.
The owner-operator of a hardware store in a Virginia suburb along the banks of the Potomac River wants to learn several things about his customers and his business. Over the past 5 years, he has kept meticulous records on the contact information for his most frequent customers through a point-of-sale information system his cashiers use. He offers attractive discounts on every purchase to customers who have provided their contact information (name, phone number, home address, e-mail address) for inclusion in the database. When the customer provides his/her phone number to the cashier during checkout, the discount is activated in the cash register and all information about the purchase (products, quantities, prices) is captured by the point-of-sale system and stored in the master database. The system tracks the number of check-outs made by database customers vs. check-outs made by customers not in the database. In the past year, 80% of the 50,000 checkouts have been made by customers in the database. The owner-operator wants to survey his customers to learn their level of satisfaction with his business and to learn their attitudes toward certain changes he is contemplating.
Which of the following survey methods would most likely produce a representative sample of the owner's customer population at the least cost:
a. telephone calls to 5,000 randomly selected people in the Virginia suburb where the store is located
b. mailers to 5,000 randomly selected homes in the same zip code as the store
c. e-mails to 5,000 randomly selected customers in the store's database
Which of the following questions on customer satisfaction with the owner's business is unblased:
a. Do you like our store hours during the winter season?
b. How likely is it that you will make your next hardware purchase from our store?
c. Would you buy more from our store if we lowered our prices?
d. Which of our competitors do you buy from when you do not buy from our store?
Which of the following is the best the method for randomly selecting customers for the survey to produce representative results:
a. choose young adults aged 25-40 for the survey
b. choose half men and half women for the survey
c. assign numbers to each customer record and use a random number generator to pick customers for the survey
d. choose customers with last names that begin with a vowel
Which of the following statements is most correct about the minimum size of the sample required for confidence in the results?
a. the minimum size of the sample is 10
b. the minimum size of the sample depends upon the size of the population
c. the minimum size of the sample depends on the level of confidence required in the result
d. the minimum size of the sample depends on the standard deviation of the population
Which of the following statements is most correct about response rates and sample sizes?
a. It is preferable to have a high response rate from a randomly chosen small sample.
b. it is preferable to have a low response rate from a randomly chosen large sample.
c. It is preferable to have a low response rate from a randomly chosen small sample.
d. None of the above statements correctly describe response rates and sample sizes.
Answer: a for the seccond and b for the first
Step-by-step explanation:
Sebastian got estimates from 7 companies for his kitchen remodel: $ 27,500 ; $31,000 ; $36,000 ; $92, 000; $29,000 ; $30,500 ; $28,500. Which measure of center best describe the data, is it the mean or the median?
We have been given that Sebastian got estimates from 7 companies for his kitchen remodel: $ 27,500 ; $31,000 ; $36,000 ; $92,000; $29,000 ; $30,500 ; $28,500. We are asked to find the best measure of center for the given data.
We can see that our given data set has a large valued data point that is $92,000.
We know that mean is very much affected by large valued outliers. The data point $92,000 will increase the mean. Therefore, mean is not a best measure of center for given data.
We know that median is very less affected by outliers, therefore, median will be best measure of center for the given data.
what is the average rate of change for the function f(x)=x^2+4 for the domain of -2 to 4
Answer:
2
Step-by-step explanation:
For a quadratic function the average rate of change on an interval is the rate of change at the midpoint of the interval. The rate of change of a function is given by its derivative.
The derivative of f(x) = x^2 is f'(x) = 2x. The midpoint of the interval is (4+(-2))/2 = 1. Then the average rate of change is ...
f'(1) = 2(1) = 2
The average rate of change of f(x) on [-2, 4] is 2.
__
Alternate solution
The average rate of change is the slope of the line between the end points of the interval:
m = (y2 -y1)/(x2 -x1)
m = (f(4) -f(-2))/(4 -(-2)) = (20 -8)/(6) = 2
The average rate of change on [-2, 4] is 2.
_____
The attached graph shows the points on the curve and a line with slope 2 between them. It also shows the various slope calculations.
What equations have many solutions
76x+76=76x+76
76x+76=-76x+76
-76x+76=-76x+76
-76x+76=76x+76
Answer:
[tex]76x+76=76x+76\\-76x+76=-76x+76[/tex]
Step-by-step explanation:
They have the same values and the same signs, therefore, they cancel each other giving a result of 0=0
Answer:
0
Step-by-step explanation:
This equation actually has more than one equal sign
6th grade math help please! :))
Answer:
C is the answer, the bottom left one!
Step-by-step explanation:
Answer:
The bottom left triangle
Step-by-step explanation:
There is no point whatsoever that you can split it in half and both sides are identical.
factor completely: 90v + 40
Answer:
Factor 90v+40
90v+40
=10(9v+4)
Answer:
10(9v+4)
Answer:
10(9v+4)
Step-by-step explanation:
10 goes into BOTH of those numbers so that's why it equals 10(9v+4)
what is the area of the triangle shown below?
Answer: Please provide the triangle
What is 256/6561 as a power
Answer:
(2/3)^8
Step-by-step explanation:
Note that 2^8 = 256, and that 3^8 = 6561.
Then 256/6561 = (2/3)^8
I have the brainy app on my phone, and I have plus on my phone, but when I try to log in on my computer< it says I still need to upgrade, how do I use brainy plus on my computer?
to use brainy plus on your computer you need to log in with the same account you used on the phone
Answer:
try to restart and delete then re download the app:)
Step-by-step explanation:
You have 9 pets:
4 fish,
1 cat,
2 dogs
and 2 birds. What is the probability a pet chosen at random is a dog or a four legged pet?
Answer:
1/3
Step-by-step explanation:
4 fish, 1 cat,2 dogs,and 2 birds = 9
dogs or 4 legged = cats and dogs = 1+2 = 3
P(dog or 4 legged) = number of dogs or 4 legged / total
=3/9
=1/3
Answer:
⅓
Step-by-step explanation:
Total pets:
4+1+2+2 = 9
Dog or four legged pets: 2 + 1 = 3
Probability: 3/9 = 1/3
What is B H and area of the parallelogram
Answer:
see below
Step-by-step explanation:
The base is 16ft
The height is 10 ft
We can find the area by
A = bh
A = 10*16 = 160 ft^2
The following dot plot shows the pulse rates of runners after finishing a marathon:
dot plot with title of Pulse Rates of Marathon Runners, Pulse Rate on the x axis, and Number of Runners on the y axis with 1 dot over 150, 3 dots over 160, 5 dots over 165, 4 dots over 175
Which of the following data sets is represented in the dot plot?
{150, 160, 160, 160, 165, 165, 165, 165, 165, 175, 175, 175, 175}
{150, 160, 165, 175}
{1, 3, 5, 4}
{150, 160, 162, 164, 165, 165, 166, 167, 168, 175, 174, 176, 175}
Answer:
First one
Step-by-step explanation:
1 dot over 150: 150 once
3 dots over 160: 160 thrice
5 dots over 165: 165 five times
4 dots over 175: 175 four times
{150, 160, 160, 160, 165, 165, 165, 165, 165, 175, 175, 175, 175}
The data sets that represents the dot plot is,{150, 160, 160, 160, 165, 165, 165, 165, 165, 175, 175, 175, 175}.
We have given the,
The following dot plot shows the pulse rates of runners after finishing a marathon.
What is the Pulse Rate?A normal resting heart rate for adults ranges from 60 to 100 beats per minute.
dot plot with the title of Pulse Rates of Marathon Runners, Pulse Rate.
on the x-axis, and the Number of Runners on the y axis with 1 dot over 150, 3 dots over 160, 5 dots over 165, and 4 dots over 175.
1 dot over 150: 150 once 3 dots over 160: 160 thrice 5 dots over 165: 165 five times 4 dots over 175: 175 four times.
Therefore the data sets which represent the dot plot is,{150, 160, 160, 160, 165, 165, 165, 165, 165, 175, 175, 175, 175}
Therefore option first is correct.
To learn more about the dot plot visit:
https://brainly.com/question/24375372
#SPJ2
Find the area of a circle with a diameter of 15 feet
Answer:
15[tex]\pi[/tex]
Step-by-step explanation:
with diameter
A=[tex]\pi[/tex]d
A=[tex]\pi[/tex](15)
A=15[tex]\pi[/tex]
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! CHECK ALL THAT APPLY
Answer:
A) 26
E) 12
Step-by-step explanation:
11x ≥ 132
x ≥ 12
The solution set would include numbers greater than or equal to 12
if a punnet of strawberrier weighs 100g
how many punnets would weigh 1 kg
Answer:
10
Step-by-step explanation:
1 kg = 1000 g
1000/100=10
Do you remember the difference between a row and a column
in Math?
Answer:
Rows are the steps - they go left to right and are numbered 1,2,3,... Columns are the columns - they go up and down and are lettered A,B,C,... Cells are defined by the row and column they are in.
Step-by-step explanation:
22. Find the perimeter of the square:
28
Answer:
56√2 ≈ 79.20
Step-by-step explanation:
The hypotenuse of an isosceles right triangle is √2 times the side length, so the side length here is ...
s·√2 = 28
s = 28/√2
The perimeter is 4 times the side length, so is ...
P = 4s = 4·28/√2
= 4·28·(√2)/2 . . . . . multiply by (√2)/(√2) to rationalize the denominator
= 56√2 ≈ 79.195959
The perimeter of the square is 56√2, about 79.20 units.
on a piece of paper, graph f(x)= {x if x<2 2 if x>2}
Answer:
see below
Step-by-step explanation:
The graph has two parts. There is one line for x < 2. It has a slope of 1 and a y-intercept of 0.
The line for x > 2 is the horizontal line x=2.
The point at x=2 is not defined by the function you have posted here, so there is a "hole" in the graph at that point.
Answer:
the person above is correct
Step-by-step explanation:
:p
