Answer:
400 shirts.
Step-by-step explanation:
subtract 8 from 12, then you get 4. kaden is making $4 off of each shirt he sells. divide 1600 by 4, and the answer will be 400. if he sold 400 shirts for $4 each, kaden will make a total of $1,600.
Assume that the firm for which you work faces a demand function given by:
P=20-2Q
and a total cost function:
TC=100-2Q^3-100Q+34Q^2
a) Find the profit maximizing level of output (Q)
b) What price should you charge for your product?
c) Based on your answers in the previous two questions, how much profit is this firm making at the profit maximizing level of output?
The profit-maximizing output of 1.91, the firm is incurring a loss of $29.42.
a) Find the profit-maximizing level of output (Q)To determine the profit-maximizing level of output, we must calculate the marginal cost and marginal revenue of the firm.MC= dTC/dQ= -6Q^2-100+68Q=2(17Q^2-34Q-50)So, the marginal cost of the firm is MC= 2(17Q^2-34Q-50)To find the marginal revenue (MR) we must differentiate the revenue function with respect to Q.MR= dTR/dQ= P + Q(dP/dQ)= 20-4QHence, the marginal revenue is MR= 20-4QAt the point of maximum profit, marginal cost (MC) equals marginal revenue (MR).Therefore, 2(17Q^2-34Q-50)=20-4Q34Q^2-68Q-100=0Solving the above equation gives Q=1.91Therefore, the profit-maximizing output is 1.91 units.b) What price should you charge for your product?The price the firm should charge for its product is given by the demand function, P=20-2Q.Substituting Q=1.91 into the demand function,P= 20-2(1.91) = $16.18c) Based on your answers in the previous two questions, how much profit is this firm making at the profit-maximizing level of output?The total profit of the firm is given by the difference between the revenue and the total cost.TR= P x Q = 16.18 x 1.91 = $30.92TC= 100-2(1.91)^3-100(1.91)+34(1.91)^2 = $60.34Profit = TR- TC= $30.92-$60.34= -$29.42At the profit-maximizing output of 1.91, the firm is incurring a loss of $29.42.
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Please help me with this math problem!! Will give brainliest if correct!! :)
Step-by-step explanation:
|x| x≤2
3 x>2
Feel free to ask question if anything's not understandable!
please help me i really need it
Answer:
Step-by-step explanation:
what type of relationship is indicated in the scatterplot? a negative curvilinear relationship a positive linear or curvilinear relationship no relationship a negative linear relationship
The type of relationship indicated in the scatterplot is a negative curvilinear relationship.
A scatterplot is a type of graph that is used to display the relationship between two variables. In a scatterplot, the values of one variable are plotted on the x-axis and the values of the other variable are plotted on the y-axis. The relationship between the two variables can be determined by observing the pattern of the points in the scatterplot.
A negative curvilinear relationship is indicated when the points in the scatterplot form a curve that slopes downward. This means that as the values of one variable increase, the values of the other variable decrease, but not in a straight line. Instead, the relationship follows a curved pattern.
In contrast, a positive linear or curvilinear relationship is indicated when the points in the scatterplot form a curve that slopes upward, a negative linear relationship is indicated when the points in the scatterplot form a straight line that slopes downward, and no relationship is indicated when the points in the scatterplot do not form any discernible pattern.
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Y= -4 cos 5x -10 please answer this someone
The trigonometric function, Y = -4·cos 5·x - 10 is undefined at Y = 0, but the function arranged as Y = -4·cos(5·x - 10) has an x-intercept at x = π/10 + 2
What is a trigonometric function?A trigonometric function indicates the relationship between angles and the lengths of sides of angles.
The specified function can be presented as follows;
Y = -4·co(5·x) - 10
There are two unknown variables
The number of equations is one
The number of equations is less than the number of unknowns, the equation is said therefore, to be undetermined.The function, at Y = 0, can be evaluated as follows;
Y = 0 = -4·co(5·x) - 10
cos(5·x) = 10/(-4) = -2.5
5·x = arccos(-2.5) = Undefined
However, when the function is; Y = -4·cos((5·x) - 10), we get;
At Y = 0
0 = -4·cos((5·x) - 10)
cos((5·x) - 10) = 0/(-4) = 0
5·x - 10 = arccos(0) = π/2
Therefore;
x = (π/2 + 10)/5 = π/10 + 2
(-π/2 + 10)/5
An x-intercept is at x = π/10 + 2
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Solve for h:
2h-4x=-6y
Please provide steps also
Answer:
h = -3y + 2x
Step-by-step explanation:
Add 4x to both sides of the equation.
2h = −6y + 4x
Divide each term in 2h = −6y + 4x by 2 and simplify.
Divide each term in 2h = −6y + 4x by 2.
2h/2 = -6y/2 + 4x/2
Simplify the left side.
h = −6y/2 + 4x/2
Simplify the right side.
Simplify each term.
Cancel the common factor of −6 and 2.
h = -3y+2(2x)/2
Cancel the common factors.
Factor 2 out of 2.
h = -3y+2(2x)/2(1)
Cancel the common factor
h = -3y+2(2x)/2(1)
Rewrite the expression
h = -3y + 2x/1
Divide 2x by 1.
h = -3y + 2x
hopefully its right LOLZ
Kenny is 8 years older than Andrew. Tim is 3 times
as old as Andrew. Cameron is 5 years younger than
Andrew. The combined age of the four is 63. How old
is each boy?
Answer:
Kenny is 18 years old Andrew is 10 years old Tim is 30 years old and Cameron is 5 years old
Step-by-step explanation:
Let a be Kenny's age , b be Andrew's age , c be Tim's age , d be Cameron's age
( b < a , b<c , d<b)
Kenny is 8 years older than Andrewn = > a = b + 8 (1)
Tim is 3 times as old as Andrew => c = 3 . b (2)
Cameron is 5 years younger than Andrew => d = b-5 (3)
The combined age of the four is 63 => a+b+c+d = 63 (4)
(1),(2),(3),(4) => b+8 + b + 3b + b-5 = 63 <=> 6b + 3 = 63 <=> b = 10
=> a= 10+8 =18, c = 3 . 10 = 30, d= 5
Occasionally, & random sample of three packages of Skittles Is selected from the output and weighed, to be sure that the manufacturing process is under control. Here are data on five such samples Measurements are in ounces: Sample Measurements 3.61 3.58 3.62 3.65 3.62 3.49 3.56 3.58 43.67 3.49 3.65 3.45 3.64 3.54 3.61 What is average of the sample ranges for the weight of packages of Skittles? Select one: 0.16 b. 0.06 c.0.10 none of the above e.0.11
The average of the sample ranges for the weight of packages of Skittles is 0.11. So, the correct answer is (e) 0.11.
To find the average of the sample ranges for the weight of packages of Skittles, we first calculate the range for each sample. The range is the difference between the maximum and minimum values in each sample.
Sample 1: Range\(= 3.62 - 3.58 = 0.04\)
Sample 2: Range\(= 3.65 - 3.49 = 0.16\)
Sample 3: Range \(= 3.65 - 3.45 = 0.20\)
Sample 4: Range \(= 3.64 - 3.54 = 0.10\)
Sample 5: Range\(= 3.62 - 3.49 = 0.13\)
Next, we calculate the average of these sample ranges:
A\(verage = (0.04 + 0.16 + 0.20 + 0.10 + 0.13) / 5 = 0.11\)
Therefore, the average of the sample ranges for the weight of packages of Skittles is \(0.11\). So, the correct answer is (e) \(0.11.\)
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8. Solve the compound inequality.8x2-64 and 10x <60-8 < x <6-8 < x <6-82x≤6-8 < x≤6
Answer:
\(-8\text{\operatorname{\leq}}\text{x}\lt\text{6}\)Explanation:
Here, we want to solve the given inequality
We proceed as follows:
\(\begin{gathered} 8x\text{ }\ge\text{ -64 and 10x }<\text{ 60} \\ x\text{ }\ge\text{ -}\frac{64}{8}\text{ and x}<\text{ }\frac{60}{10} \\ \\ x\ge\text{ -8 and x}<\text{ 6} \\ -8\text{ }\leq\text{ x}<\text{ 6} \end{gathered}\)
Consider the following experiment. You are one of 100 people enlisted to take part in a study to determine the percent of nurses in America with an R.N. (registered nurse) degree. You ask nurses if they have an R.N. degree. The nurses answer "yes" or "no." You then calculate the percentage of nurses with an R.N. degree. You give that percentage to your supervisor.
a)What part of the experiment will yield discrete data?
- number of yes and no answers. -computed percentage - number of nurses at a hospital -percent of nurses in America with an R.N. degree -number of nurses in America
b)What part of the experiment will yield continuous data?
- number of yes and no answers. -computed percentage - number of nurses at a hospital -percent of nurses in America with an R.N. degree -number of nurses in America
a) The part of the experiment that will yield discrete data is the number of yes and no answers.
This is because the responses to the question "do you have an R.N. degree?" can only be either "yes" or "no," which are discrete categories. The number of yes responses and the number of no responses will be whole numbers and not continuous values.
b) The part of the experiment that will yield continuous data is the computed percentage of nurses with an R.N. degree. This is because the percentage can take on any value within the range of 0% to 100%, including decimal values. It is a continuous variable since it can have an infinite number of possible values within the given range.
The number of nurses at a hospital, percent of nurses in America with an R.N. degree, and the number of nurses in America are not directly obtained from the experiment but are instead population-level information. These quantities are not part of the data collection process in this particular experiment.
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the population of town c triples every 7 years. what is the annual percent change in the population of town c?
The annual percent change in the population of town C will be 16.9
From the formula for the annual increase in population, we have
A = P( 1 + r/100 )n
Where, A = new population
r = rate of increase in the population per annum
n = number of years
Since, from the question, we have
n = 7
A = 3P
Therefore,
3P = \(P( 1+ r/100 )^{7}\)
Or, 3 = \(P( 1+ r/100 )^{7}\)
31/7 = 1 + r/100
1.169 = 1 + r/100
0.169 = r/100
r = .169 x 100 = 16.9
Therefore, the annual percent change in the population of town c is 16.9
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What is Cauchy-Schwarz inequality?
The Cauchy-Schwarz inequality is a mathematical theorem that states that for any two sequences of real numbers, the sum of the product of the corresponding terms of the sequences is less than or equal to the product of the sums of the sequences.
In other words, it gives a bound on the dot product of two vectors in terms of their lengths. The Cauchy-Schwarz inequality is used in various fields of mathematics, including analysis, linear algebra, and optimization, and has numerous applications, for example in probability theory, statistics, and quantum mechanics.
In summary, the Cauchy-Schwarz inequality provides a powerful tool for bounding the dot product of two vectors in terms of their lengths, and has wide-ranging applications in various branches of mathematics and related fields.
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On a school playground, a math teacher draws a number line with values from 10 to 10. The distance between each
consecutive number is 1 meter. Rebecca is standing at +4, and her friend Cedric is standing at -8.
What is the straight-line distance between the two friends, in meters?
Answer:
12
Step-by-step explanation:-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
count the spaces between the two numbers
The number line is the representation of numbers in real order.
The number line can be assumed as:
-10_-9_-8_-7_-6_-5_-4_-3_-2_-1_0_1_2_3_4_5_6_7_8_9_10
(Cedric) (Rebecca)
The straight-line distance between the two friends, in meters, is 11 meters.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
On a school playground, a math teacher draws a number line with values from 10 to 10.
The distance between each consecutive number is 1 meter.
We can assume the number line to be as,
-10_-9_-8_-7_-6_-5_-4_-3_-2_-1_0_1_2_3_4_5_6_7_8_9_10
(Cedric) (Rebecca)
The distance between Cedric and Rebecca.
= 4 - (-7)
= 4 + 7
= 11
Thus,
The straight-line distance between the two friends, in meters, is 11 meters.
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chase ran 36 3/4 miles over 6 days he ran the same distance each day how many miles did he run each day
Therefore, Chase ran 49/8 miles each day.
To find out how many miles Chase ran each day, we need to divide the total distance he ran (36 3/4 miles) by the number of days (6 days).
First, let's convert the mixed number into an improper fraction. 36 3/4 is equal to (4 * 36 + 3)/4 = 147/4.
Now, we can divide 147/4 by 6 to find the distance he ran each day:
(147/4) / 6 = 147/4 * 1/6 = (147 * 1) / (4 * 6) = 147/24.
Therefore, Chase ran 147/24 miles each day.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 147 and 24 is 3.
So, dividing 147 and 24 by 3, we get:
147/3 / 24/3 = 49/8.
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Chase ran a total of 36 3/4 miles over six days. To find out how many miles he ran each day, simply divide the total distance (36.75 miles) by the number of days (6). The result is approximately 6.125 miles per day.
Explanation:To solve this problem, you simply need to divide the total number of miles Chase ran by the total number of days. In this case, Chase ran 36 3/4 miles over six days. To express 36 3/4 as a decimal, convert 3/4 to .75. So, 36 3/4 becomes 36.75 miles.
Now, we can divide the total distance by the total number of days:
36.75 miles ÷ 6 days = 6.125 miles per day. So, Chase ran about 6.125 miles each day.
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what are the two square roots of 9
Answer:
-3, 3
Step-by-step explanation:
14. An engineer is designing a circular base for a
plastic cup holder that will go in a new
car. The base of the cup holder has a
radius of 5 centimeters,
Which measurement is closest to the
circumference of the base in
centimeters?
Answer:
c=2(3.14)r
r= 5inches
c=2•3.14•5
c=31.4 inches
PLSSS HELP IF YOU TURLY KNOW THISSS
Answer:
\( \sf \: x = 6\)
Step-by-step explanation:
Now we have to,
→ find the required value of x.
The equation is,
→ 4x + 10 = 34
Then the value of x will be,
→ 4x + 10 = 34
→ 4x = 34 - 10
→ 4x = 24
→ x = 24 ÷ 4
→ [ x = 6 ]
Hence, the value of x is 6.
simplify the following expression
The simplified form of the expression 2x^2 - 3x - 2 remains as 2x^2 - 3x - 2.
To simplify the expression 8x - 2x - x^2, we can combine like terms by adding or subtracting coefficients.
8x - 2x - x^2
First, let's combine the x terms:
(8x - 2x) - x^2
This simplifies to:
6x - x^2
Therefore, the simplified form of the expression 8x - 2x - x^2 is 6x - x^2.
Now, let's simplify the expression 2x^2 - 3x - 2:
The expression is already in simplified form, and no further simplification is possible.
Therefore, the simplified form of the expression 2x^2 - 3x - 2 remains as 2x^2 - 3x - 2.
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Find the slope given the points (2, −7) and (−1,
6).
Answer:
The Slope= -13/3
y-intercept= (0,5/3)
Step-by-step explanation:
m= change in y/change in x
m= y2-y1/x2-x1
m=6-(-7)/ -1-(2)
m=-13/3
6x + 39 (if x = 10)..
Answer:
3(2x+13) or 99
Step-by-step explanation:
Factor 6x+39
6x+39
=3(2x+13)/ 99
Answer:
3(2x+13) or 99
Answer:
99
Step-by-step explanation:
x=10 we know that
so then we have 6 lots of 10s
that is 60
next step is 60+39
that equals to 99
5. A total of 64 athletes enter a competition, and of the athletes
are gymnasts. Some of the gymnasts perform a vault, and the rest
perform a floor routine. The ratio of the number of gymnasts
performing a vault to the total number of gymnasts in the
competition is 1 : 4. How many gymnasts perform a floor routine
in the competition? Explain.
Answer:
18 gymnastsStep-by-step explanation:
Number of gymnasts, 3/8 of all athletes:
64*3/8 = 24Number of gymnasts performing a vault, 1/4 of all gymnasts:
24*1/4 = 6Number of gymnasts performing a floor routine, the rest of the gymnasts:
24 - 6 = 18The length of a rectangle is 3cm the with the width is 4cm . What is the area of the rectangle ?
Answer:
12 cm²
Step-by-step explanation:
Use the area formula A = lw, where l is the length and w is the width:
A = lw
A = (3)(4)
A = 12
= 12 cm²
1.
Matthew is buying packages of 12 pens to give one to each of classmates. How many packages should he buy? Use the equation 12p=140
Answer:
the answer is 13 packages of 12
Jake ran 25 miles in 5 days. how many miles has jake ran per day ?
Answer:5
Step-by-step explanation:
25 miles divided by 5 days equal the 5 miles
5 times 5 =25
i need step by step answers
Convert the equation to Standard Form.
y=2(x+1)^(2) −4
Answer:
(-8x2-16x-8)
Step-by-step explanation:
y= (2x + 2)^2 (2 - 4)
y= (2x + 2)(2x + 2)(2 - 4)
y= −82−16−8
A taxi driver drove 30 miles on Monday, 50 miles on Tuesday, 60 miles on Wednesday, 70 miles on Thursday, and 90 miles on Friday. The average number of miles he drove per day was ___
Answer: 60
Step-by-step explanation: 30+ 50 + 60 + 70 + 90 = 300
Divide by 5
4. Calculate the mean of the data set {22, 34, 37, 23, 45, 21, 29, 37}. Round to the nearest tenth.
37
31.0
35.4
31.5
Answer:
31.0
Step-by-step explanation:
The mean of a given set of data is the ratio of the sum of the data to the number of units that make up the data set. It is also called the average of the data set.
Given the data set {22, 34, 37, 23, 45, 21, 29, 37}. There are 8 numbers in the set. The total of these numbers
= 22 + 34 + 37 + 23 + 45 + 21 + 29 + 37
= 248
The mean = 248/8
= 31
What is the slope? I will give brainliest
Answer:
The rise over run is -1/2
Step-by-step explanation:
Compare the values.
4x 107 is
?
times as much as 4 x 103.
10^4
4 x 10^10
10^10
4 x 10^4
Answer:
10^4 timesStep-by-step explanation:
Compare
4*10^7 and 4*10^3Dividing
4*10^7/4*10^3 = 4/4*10^(7 - 3) = 1*10^4 = 10^4The first number is 10^4 times as much as the second number
Problem 6 (16 points). An individual opens a savings account with an initial investment of $500. The bank offers her an annual interest rate of 9%, which is continuously computed. She decides to deposit $200 every month. a) Write an initial value problem that models this investment over time. b) Solve the IVP.
c) What is the value of the investment in 2 years? d) After the 2 year mark, she increases her monthly investment to $300. What is the value of the investment a year later? Show all your work for full credit; you may use a calculator for this problem. Problem 7 (16 points). Solve the following IVP: ycosx−2xe y coz x − 2x eʸ -6x² - (x² eʸ - sin x - 4) yᶦ = 0; y (π) = 0
The investment problem is modeled by an initial value problem (IVP) where the rate of change of the investment is determined by the initial investment, monthly deposits, and the interest rate.
a) The investment problem can be modeled by an initial value problem where the rate of change of the investment, y(t), is given by the initial investment, monthly deposits, and the interest rate. The IVP can be written as:
dy/dt = 0.09y + 200, y(0) = 500.
b) To solve the IVP, we can use an integrating factor to rewrite the equation in the form dy/dt + P(t)y = Q(t), where P(t) = 0.09 and Q(t) = 200. Solving this linear first-order differential equation, we obtain the solution for y(t).
c) To find the value of the investment after 2 years, we substitute t = 2 into the obtained solution for y(t) and calculate the corresponding value.
d) After 2 years, the monthly deposit increases to $300. To find the value of the investment a year later, we substitute t = 3 into the solution and calculate the value accordingly.
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