The total cost E expressed as a function of q, wherein q is the number of widgets manufactured= E = 9q + 45,000.
What is fixed expenses?Changes in sales or production volume have no effect on costs or expenses that are constant. They cover costs like rent, insurance, membership dues and subscriptions, equipment leases, loan payments, depreciation, management salaries, and advertising.
What exactly are variable expenses?Variable costs are expenses that alter as the volume of a product or service that a company produces fluctuates. The total of marginal costs over all units produced is what is referred to as variable costs. They may also be regarded as ordinary expenses. The two parts of total cost are fixed costs as well as variable costs.
According to the given information:The fixed expenses = $45,000,
The variable expenses = $9
E = V + F
E = 9q + 45,000
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Let S be the set of all positive integers having at most 4 digits and such that each of the digits is 0 or 1. What is the greatest prime factor of the sum of all the numbers in S ?
A. 11
B. 19
C. 37
D. 59
E. 101
The greatest prime factor of 2516 is 11, so the answer is A. 11
What is the prime factor?
A prime factor is a natural number, other than 1, whose only factors are 1 and itself. The first few prime numbers are actually 2, 3, 5, 7, 11,
We can use the process of counting to find the sum of all the numbers in S.
For one-digit numbers, there are 2 possibilities (0 or 1).
For two-digit numbers, there are 2 x 2 = 4 possibilities (00, 01, 10, 11).
For three-digit numbers, there are 2 x 2 x 2 = 8 possibilities (000, 001, 010, 011, 100, 101, 110, 111).
For four-digit numbers, there are 2 x 2 x 2 x 2 = 16 possibilities (0000, 0001, 0010, 0011, 0100, 0101, 0110, 0111, 1000, 1001, 1010, 1011, 1100, 1101, 1110, 1111).
So, the sum of all the numbers in S is
2 + 4(1+2+3+4) + 8(1+2+3+4+5+6+7+8) + 16(1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16)
We can simplify this expression as
2 + 4(10) + 8(36) + 16(136)
The sum of all the numbers in S is equal to 2 + 40 + 288 + 2176 = 2516.
Hence, The greatest prime factor of 2516 is 11, so the answer is A. 11
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Help pls! The question is in the the photo.
Step-by-step explanation:
after mixing 1 can of concentrate and 3 cans of water, we will have 4 cans of juice.
the volume of 1 can is (as for any cylinder or regular 3D object)
base area × height
for a cylinder the bar area is the area of a circle
pi×r²
r is the radius, which is half of the diameter.
in the picture it is not fully clear what is 2.25 in long : the diameter of the radius ?
I suspect it is the diameter.
so, the radius of our cans is 2.25/2 = 1.125 in
the volume of 1 can is
pi×1.125²×4.25
and the volume of all 4 cans of juice is then
4×pi×1.125²×4.25 = 17×3.14×1.265625 = 67.5590625 in³
≈ 68 in³
so, your answer is 68.
el cociente de 5 y un número
Using Algebraic Expressions, The ratio of any two numbers is five: 5/x
What is algebra?Many students find algebra intimidating since it's the first math course they take where they have to deal with variables, abstract ideas, and problem-solving skills. Additionally, not enough is frequently done in the classroom to relate algebra to students' daily lives and explain why it is important to comprehend.
We take into consideration a number "x" for the algebraic expression.
Two numbers are divided to produce the quotient. The ratio between five units and any number "x" is what we have here.
a mathematical expression
Quantile = 5/x
We will get various quotient outcomes depending on the value we provide to the variable "x."
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Full question"
The ratio of 5 between any number.
Mid topic checkpoint chapter 4 for questions 3,and 4
Equation that represents the Marks and study hours of Adams is y = 7.5x + 60.
What is Linear equation?A linear equation is an algebraic equation of the form y = mx + b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given a linear regression graph that has a linear equation.
Slope intercept form of a line
y = mx + c
where,
m is the slope
c is the y-intercept(Where x is zero)
In our case,
y-intercept = 60
Thus, the equation of line will be:
y = mx + 60
Coordinates of the line are given (4, 90). So, these points will Satisfy the equation.
90 = 4*m + 60
4.m = 30
m = 7.5
Thus, equation of the line will be:
y = 7.5x + 60
Adam's test score after studying for 6 hours:
y = 7.5 * 6 + 60
y = 45 + 60
y = 105
therefore, Equation that represents the Marks and study hours of Adams is y = 7.5x + 60.
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The random variable K has a geometric distribution with mean 16. Which of the following is closest to the standard deviation of random variable K ?a. 0.0625b. 0.9375c. 4d. 15.49e. 240
The standard deviation of random variable K is 15.49 (option D ) and this can be determined by using the formula of mean and standard deviation.
Given,
The mean of geometric distribution of random variable K = 16
Formulae for finding mean,
mean = 1/p
Substitute the value of the mean in the above formula in order to determine the value of 'p'.
[tex]16 =\frac{1}{p}[/tex]
[tex]p = 0.0625[/tex]
The formulae for standard deviation :
S.D.=[tex]\frac{\sqrt{1-p} }{p}[/tex]
Now substitute the value of p in the above equation,
S.D. [tex]= \frac{\sqrt{1-0.0625} }{0.0625}[/tex]
[tex]= 15.49[/tex]
Hence, the answer is option D.
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PLEES HELP ME WITH MY HOMEWORK
Answer:
Step-by-step explanation:
2. 63
3. 0
4. 6
5. 9
6. 10
7. 4
8. 8
9. 0
10. 5
11. 10
12. 7
13. 9
14. 5
15. 5
16. 3
17. 8
18. 0
Justin has a savings account.
• He started with $50 in his account.
• He deposits $12 into the account each week.
• Let b represent the amount Justin has in the bank after w weeks.
Which equation can be used to determine the total amount in Justin's account?
Answer: The equation that can be used to determine the total amount in Justin's account is:
b = 50 + (12 * w)
This equation represents the total amount in Justin's account, b, after w weeks. The equation starts with the initial amount, $50, which is the amount Justin had in his account before making any deposits. Then, it adds the amount deposited each week, $12, multiplied by the number of weeks, w. This results in the total amount in the account after w weeks.
In this equation the variable "w" represents the number of weeks that have passed and "b" represents the total balance.
Step-by-step explanation:
In a group of nine people each person shakes hands with exactly two of the other people from the group. Let N be the number of ways this handshaking can occur. Consider two handshaking arrangements different if and only if at least two people who shake hands under one arrangement do not shake hands under the other arrangement. Find the remainder when N is divided by 1000
Answer:
We can solve this problem using the principle of counting, specifically the handshaking lemma.
The handshaking lemma states that in a group of 2n people, where each person shakes hands with exactly one other person, the number of handshaking arrangements is equal to n!.
In this case, we have 9 people, so n = 4.5. Each person shakes hands with exactly two other people, so the number of handshaking arrangements is (4.5!) / (2!)^4 = 945.
Finally, the remainder when N is divided by 1000 is 945 % 1000 = 945.
Step-by-step explanation:
evaluate the functions at 0, -2, and 1. f (x )equals x cubed minus 3 x squared plus 4
The functions are 0, -2 and 1 for the mentioned function is 4, - 16 and 2.
Firstly we will represent the function in equation form. Then we will calculate the result by keeping each value of function.
f(x) = x³ - 3x² + 4
Calculating result when function is 0
f(x) = 0³ - 3×0² + 4
f(x) = 0 - 0 + 4
f(x) = 4
Calculating result when function is -2
f(x) = (-2)³ - 3×(-2)² + 4
Finding square and cube
f(x) = -8 - 3×4 + 4
Performing multiplication
f(x) = - 8 - 12 + 4
Performing addition
f(x) = - 20 + 4
Performing subtraction
f(x) = - 16
Calculating result when function is 1
f(x) = 1³ - 3×1² + 4
f(x) = 1 - 3 + 4
Performing addition
f(x) = 5 - 3
Performing subtraction
f(x) = 2
Thus, functions are 4, -16 and 2.
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If G is a group of order pq, where p and q are primes. How could I prove that any nontrivial subgroup of G must be cyclic?
Let H be a nontrivial subgroup of G.
Since p and q are coprime, the only possible divisors of pq are p and q. Thus we must have either |H|=p or |H|=q. Now, by Cauchy's theorem, H must contain an element of order p or q respectively. Then, by Lagrange's theorem, the order of any element in H must divide p or q, i.e. H must be cyclicThen, H has an order of m, where m is a divisor of pq. By Lagrange's Theorem, m divides both p and q. Since p and q are prime, m must be equal to either p or q. This implies that the order of H is either p or q.
Therefore, H must be cyclic, because the order of a cyclic group is always equal to its number of elements. Thus, any nontrivial subgroup of G must be cyclic.
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Complete question:If G is a group of order pq, where p and q are primes, how could I prove that any nontrivial subgroup of G must be cyclic?
Felipe has been given a list of 5 bands and asked to place a vote. His vote must have the names of his favorite, second favorite, and third favorite bands from the list. How many different votes are possible?
Answer: 20 different total voting combination
Step-by-step explanation: So we have 5 bands. Lets called them A, B, C, D, and E.
If John has to vote on his favorite and second favorite that means we will be selecting 2 bands out of the 5 possible to choose from.
To find the TOTAL amount of different combinations we need to pair up bands and find all the combo's.
Here are the results/totals:
AB
AC
AD
AE
BA
BC
BD
BE
CA
CB
CD
CE
DA
DB
DC
DE
EA
EB
EC
ED
So this is 20 different total voting combinations.
If you want to do it simpler without listing you can take the the 5 bands and multiple by 4 since you know each initial band (A, B, C, D, and E) will be paired with another band other than itself.
A florist divided f flowers equally among 6 vases. Choose the expression that shows how many flowers were in each vase.
Answer:
42 divided by 6=7 so in each vase there are 7 flowers
Step-by-step explanation:
What is the answer for this equation 4x+5x+7+x+2
it depends on what x is but simplified that equation is 9x+9+x
the length of a rectangle is seven more than triple the width. if the perimeter is 166 inches , find the dimension
Answer:
Width = 3.773 inches
Length = 79.227 inches-
Step-by-step explanation:
g = 7(3w) Eq. 1
166 = 2(g+w) Eq. 2
g = length
w = width
From Eq, 1:
g = 21w Eq. 3
Replacing Eq. 3 in Eq. 2
166 = 2(21w + w)
166 = 2(22w)
166 = 44w
166/44 = w
w = 3.773
From Eq. 3
g = 21(3.773)
g = 79.227
Check:
From Eq. 2:
166 = 2(79.227 + 3.773) = 2 * 83
IMC 2018 5th grade question 14
Answer: 69
Step-by-step explanation:
what is the slope through the line of (5, -6) and (2, 3)
Hello:
--> this problem wants us to calculate the slope between (5, -6) and (2, 3)
So we are given two points:
--> (x1, y1): (5, -6)
--> (x2,y2): (2, 3)
Let's consider our formula needed:
[tex]\text{Slope} = \dfrac{y2-y1}{x2-x1}=\dfrac{3--6}{2-5} =\dfrac{9}{-3} =-3[/tex]
Thus our slope is -3
Answer: -3
A doctor prescribes an ointment that is 4% hydrocortisone. A pharmacist has 1% and 5% concentrations in stock. How many ounces of each should the pharmacist use to make a 1-ounce tube?
To make a 1-ounce tube of the ointment that is 4% hydrocortisone, the pharmacist needs to use 0.04 ounces of the active ingredient (hydrocortisone).
The pharmacist has 1% and 5% concentrations in stock, therefore he needs to use 0.96 ounce of the 1% concentration and 0.04 ounces of the 5% concentration.
The pharmacist should use 0.96 ounces of the 1% concentration and 0.04 ounces of the 5% concentration to make a 1-ounce tube of the ointment with the correct percentage of hydrocortisone.
It's important to note that it's important that the pharmacist needs to mix the correct amount of hydrocortisone to get the desired percentage, and also that the pharmacist needs to check the final percentage of the ointment before dispensing to ensure the safety and efficacy of the medication.
What is the solution to this system of equations?
4x-3y=26
3x+2y=11
A:(5,-2)
B:(-2,5)
C:(5,2)
D(8,2)
Answer:
Option A: (5,-2)
Step-by-step explanation:
4x - 3y = 26
3x + 2y = 11
from equ 1 make x the subject formular | equ means equation
4x - 3y = 26
4x = 26 + 3y
x = (26 + 3y)/4
Substitute x = (26 + 3y)/4 into equ 2
3((13+3y)/4) + y = 11
(39+17y)/4 + y = 11
39/4 + 17y/4 + y = 11
39/4 + 17y/4 = 11
17y/4 = 11 - 39/4
17y/4 = -17/2
17/4y/17/4 = -17/2/17/4
y = -2
Substitute y = -2 into equ 2
3x + 2y = 11
3x + 2(-2) = 11
3x - 4 = 11
3x = 11 + 4
3x = 15
3x/3 = 15/3
x = 5
(x,y) = (5,-2)
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It cost the concession stand $1.25 for each nacho sold. If the concession stand marks up the nachos 80%, how much do they charge for each nacho?
The concession stand charges $2.25 for each nacho.
What is the percentage?
In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" is also used. A percentage is a dimensionless number; it has no unit of measurement.
To find out how much the concession stands charge for each nacho, we need to calculate the markup percentage.
The markup percentage is calculated by:
(Markup Amount / Cost) * 100 = Markup Percentage
In this case, the markup amount is 80% of the cost of each nacho, which is:
(80/100) * $1.25 = $1
So, the markup amount is $1.
To calculate the final price of each nacho, we need to add the markup amount to the cost:
$1.25 (cost of nacho) + $1 (markup amount) = $2.25
Therefore, the concession stand charges $2.25 for each nacho.
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The sports program has a balance of $500 Kenny needs to buy basketballs that cost $25 per practice Kenny hopes to have at least $200 after purchasing the necessary basketballs which inequality represents Kenny’s situation.
The inequality that represents Kenny's situation is 25x ≤ 500 − 200
What is inequality ?In mathematics, inequality is describe about the relative size or order of two values.
It states that one value is either greater than, less than, or not equal to the other value.
It is usually represented by symbols such as > (greater than), < (less than), ≥ (greater than or equal to), ≤ (less than or equal to), and ≠ (not equal to).
In this question ,
Let x be the number of basketballs Kenny needs to buy.
The inequality that represents Kenny's situation is:
25x ≤ 500 − 200
This inequality states that the total cost of purchasing the basketballs (25x) must be less than or equal to the available balance minus the desired amount after purchase (500 − 200 = 300).
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determin the median for each of the following sit of data 11, 12, 14, 16, 20, 13, 18, 15, 11, 16
I am pretty sure the answer is 14.5
Answer:
14.5
Step-by-step explanation:
Arrange the numbers from small to big
11, 11, 12, 13, 14, 15, 16, 16, 18, 20
If the set of data is an even number, like in this case,
Take 2 of the middle numbers:
14 and 15
Add them and divide by 2:
14+15= 29
29 ÷ 2= 14.5
Timmykat wants to start losing some weight. He goes to the doctor and the doctor tells him that he needs to burn off 600 calories a day or more. TK loves riding his bike but he only burns 10 calories a minute that way. When TK runs he loses 15 calories a minute.
a) Make an inequality where x represents the number of minutes biking and y represents the number of minutes running. b) If Timmykat bikes for 30 minutes and doesn’t run at all will he burn enough calories?
c) If Timmykat runs for 30 minutes and doesn’t bike at all will he burn enough calories?
d) Graph the inequality.
e) What are three different scenarios where Timmykat will burn at least 600 calories a day?
The total number of calories burned can be represented by the inequality 10x + 15y ≥ 600
Timmykat will not burn enough calories in the two scenariosThe graph is attachedThe three different scenarios are explained belowThe inequality of the scenarioUsing the following parameters:
x represents the number of minutes biking y represents the number of minutes runningThe inequality is
10x + 15y ≥ 600
Will he burn enough calories?In this case, x = 30 and y = 0.
Plugging in these values into the inequality:
10(30) + 15(0) = 300
Since 300 is less than 600, Timmykat will not burn enough calories if he only bikes for 30 minutes and doesn't run at all.
Will he burn enough calories?In this case, x = 0 and y = 30.
Plugging in these values into the inequality:
10(0) + 15(30) = 450
Since 450 is less than 600, Timmykat will not burn enough calories if he only runs for 30 minutes and doesn't bike at all.
The graph of the inequalitySee attachment
Three different scenariosThree different scenarios where Timmykat will burn at least 600 calories a day are:
Biking for 40 minutes and running for 20 minutes: 10(40) + 15(20) = 400 + 300 = 700, which is greater than 600.Biking for 45 minutes and running for 15 minutes: 10(45) + 15(15) = 450 + 225 = 675, which is greater than 600.Biking for 50 minutes and running for 10 minutes: 10(50) + 15(10) = 500 + 150 = 650, which is greater than 600.Read more about inequality at
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A triangle has a side lengths of 17 feet, 26 feet, and 16 feet. Is it a right triangle
Answer: No, it is not a right triangle
Step-by-step explanation:
a=17
b=16
c=26
a^2 + b^2 = c^2 (C will always be the longest side)
17^2 + 16^2 = 26^2
49 + 256 = 676
305 is not equal to 676
Answer:
to test if this is a right triangle, test the side lengths with the Pythagorean theorem
a^2 + b^2 = c^2
Step-by-step explanation:
c is the hypothenuse, the longest side of a right triangle
a and b are the legs of the right triangle.
a = 16
b = 17
c = 26
16^2 + 17^2 = 26^2 ?
256 + 289 = 676?
545 ≠ 676
NO, this triangle is NOT a right triangle
A certain drug is made from only two ingredients: compound A and compound B. There are 7 millimeters of compound A used for every 5 millimeters of compound B. If a chemist wants to make 900 millimeters of the drug, how many millimeters of compound A are needed?
Answer: The answer is: 525 millimeters of compound A are needed.
Step-by-step explanation:
You have to put it in equation form to solve for compound A. To do this use variables.
7(x) + 5(x) = 900
12(x) = 900
x = 900/12
x = 75
When we get 75 you have to plug it into compound A to get this:
7(75) = 525
To confirm our answer we plug in 75 to both variables.
7(75) + 5(75) = 900
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solve the equation , 3/4x-5=x
Answer: x= 0.146 or x= -5.15
(refer to the steps I wrote down, check the image)
I need help, please, I didn't understand you very well.
Answer:
30
Step-by-step explanation:
Answer: 30
Step-by-step explanation:
Use Pythagorean theorem a^2 + b^2 = c^2:
18^2 + 24^2 = c^2
324 + 576 = c^2
900 = c^2
c = 30
A submarine is 575 feet below sea level. It is ascending at a rate of 325 feet per minute
If a submarine is 575 feet below sea level and is ascending at a rate of 325 feet per minute, we can use that information to determine how long it will take for the submarine to reach the surface.
The distance the submarine needs to travel to reach the surface is:
Distance = Sea level - Current depth
Distance = 0 feet - (-575 feet) = 575 feet
We can use the rate of ascent and distance to find the time it will take for the submarine to reach the surface.
Time = Distance / Rate
Time = 575 feet / 325 feet per minute
Time = 1.77 minutes
So it will take the submarine 1.77 minutes to reach the surface, assuming it continues to ascend at a rate of 325 feet per minute.
Can someone help me solve this and explain it?
Answer:
a. -0.004
b. -sqrt(20)/70
Step-by-step explanation:
a.
We are given that y = a(x - 70)^2 + 20
And we know that x=0 and y=0
We can substitute these values into the equation:
0 = a(-70)^2 + 20
Simplifying we get:
0 = a(4900) + 20
Subtracting 20 from both sides we get:
-20 = a(4900)
Dividing both sides by 4900 we get:
a = -20/4900
a = -20/4900 = -0.004
So the value of a is -0.004
b.
We are given that y = a(x - 70)^2 + 20
And we know that x=140 and y=0
We can substitute these values into the equation:
0 = a(140-70)^2 + 20
Simplifying we get:
0 = a(70)^2 + 20
Subtracting 20 from both sides we get:
-20 = a(70)^2
Taking the square root of both sides:
sqrt(-20) = a(70)
Dividing both sides by 70:
-sqrt(20)/70 = a
a = -sqrt(20)/70
So the value of a is -sqrt(20)/70
refer to the above table. if the consumer buys both product x and product y, how much will the consumer buy of each in order to maximize utility?
If the consumer buys both product X and product Y, the consumer buy of each to maximize utility will be 3X and 4Y.
Product X Product Y
Quantity MUx Quantity MUy
1 32 1 24
2 28 2 20
3 24 3 16
4 20 4 12
5 16 5 8
If the consumer can only buy product X, consumer buy and the total utility will be 5X and 120.
If the consumer buys both product X and product Y, the consumer buy of each to maximize utility will be 3X and 4Y.
When the consumer purchases the utility-maximizing
combination of product X and product Y, total utility will be 156.
A consumer is in equilibrium and is spending income in such a way that the marginal utility of product X is 40 units and Y is 16 units. The unit price of X is $5. The price of Y is: $2 per unit.
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The complete question is :
Based on the table below showing the marginal utility schedules for product X and product Y for a hypothetical consumer. The price of product X is $4 and the price of product Y is $2. The income of the consumer is $20. how much will the consumer buy of each in order to maximize utility?
Recognizing the measurement scale of the data collected on each variable is important because the type of data dictates the appropriate data summary methods and statistical procedures. Which variable(s) in the data set are measured using a nominal scale?
The data set's environment variable(s) are quantified on a nominal scale.
Describe data sets?
A data set is created from collected data. When working with tabular data, a data set is equivalent to one or more database tables, each of whose columns and rows correspond to various variables and each of which corresponds to a particular record of the corresponding data set. A data set is a collection of interconnected, unique pieces of interconnected data that can be accessed separately, together, or under a single control.A particular type of data structure is used to organize a data set. A few examples of the enormous amount include numerous medical data, various measures, financial data, statistical data, demographic data about specific populations, and insurance data.To learn more about data sets refer to:
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