This graph shows a proportional relationship.
What is the constant of proportionality?
hookes law gives the equation F=kx where F is the elastic force and k is the constant and x or small e is extension if we draw a graph you'll see that the graph increases by the same ratio every single time hence giving a straight line show that they are F and x are propotional to a certain limit
Answer:
The answer you're looking for is 40
Step-by-step explanation:
In a classroom, for every 8 girls there are 5 boys. What is the ratio of boys to girls?
Answer:
5:8
Step-by-step explanation:
Answer:
8 to 5
Step-by-step explanation:
I needdddddd helppppppp
Answer:
what is the question
Step-by-step explanation:
Need help! Will be appreciated
Answer:
64 miles per gallon
27 feet per second
14 quarts in a barrel
Step-by-step explanation:
Judy had a bag with 12 DVDs, 12 marbles, 11 books, and one orange. What percentage of the items in the bag are DVDs
Answer:
34.28 percent of the items in the bag are DVDs
Step-by-step explanation:
Given that he had following items
DVDs 12
MArbles 12
Books 11
Total items are: 11+12+12 = 35
In order to find the percentage of DVDs we have to divide the quantity of DVDs by total and multiply by 100
So,
Percentage of DVDs is:
[tex]=\frac{12}{35} *100\\= 0.3428*100\\= 34.28\%[/tex]
Hence,
34.28 percent of the items in the bag are DVDs
SOMEONE PLZ HELP!!!
Answers:
A.
100
B.
150
C.
250
D.
not enough information
Answer:
D
Step-by-step explanation:
help please it’s important!!
What is a fixed annual sum of money paid at regular intervals to an employee for their work?
Answer: Salary is a fixed amount of money or compensation paid to an employee by an employer in return for work performed. Salary is commonly paid in fixed intervals, for example, monthly payments of one-twelfth of the annual salary.
Step-by-step explanation:
Two towns that are 31.5 km apart are 3 cm apart on a map. What is the scale of the map?
A. 1 cm = 29.5 km
B. 1 cm = 9.5 km
C. 1 cm = 10.5 km
D. 1 cm = 15.5 km
Answer:
3 cm on the map represents 31.5 km in reality.
3cm : 31.5 km
1cm : 31.5/3 km
1cm : 10.5km
So the scale on the map is 1cm represents 10.5 km.
Month 1 2 3 4 5 6 7
Value 25 14 19 12 19 24 15
A) Compute MSE using the most recent value as the forecast for the next period.
B) Compute MSE using the average of all the data available as the forecast for the next period.
C) Which method appears to provide the better forecast?
Answer:
Following are the solution to this question:
Step-by-step explanation:
Please find the complete question and its solution file in the attachment.
Hellpppp pls!!!!!!!!!!!!
Answer:
2a+6b
Step-by-step explanation:
Answer:
6b + 2a
a + (a + 6b)
(a + 3b)2
Mr. Parker jogs for 45 minutes each day. He jogs 5 days in week 1, 6 days in week 2, and 7 days in week 3. About how many minutes does he jog?
Answer:
810 min
Step-by-step explanation:
5+6+7=18
18x45=810
i need help pls 1 - 8 thanks
Answer:
1. 0.5454
2. 8
3. 0.6785
4. 1.1428
5. 6
6. 1.5
7. 1.75
8. 1.6666
Step-by-step explanation:
calculator :)
What is the solution of the system of equations?
y=2x-4
y=1-3x
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(1−2)
Equation Form:
x= 1
y=−2
Step-by-step explanation:
PLEASE HELP STAT WILL MARK BRAINLIEST!
Mr. Lee has 67 rubber stamps. He wants to give the same number of stamps to each of his 8 students. If he gives away as many stamps as he can, how many stamps will be leftover? [remainder]
Answer:
3
Step-by-step explanation:
To give the same amount of stamps to each student you would divide 67 by 8. Dividing would give each students 8 stamps because you can only equally divide it to 64 (EX, 64/8=8). This leaves you with 3 stamps leftover, because we only used 64 equally and 67-64=3.
Answer:
He can give each of his students 8 stamps.
With 3 stamps left over.
Step-by-step explanation:
Hope this helps!
Which operation is associate with ratios - adding , subtracting, timing , or diving
Answer:
Dividing
Step-by-step explanation:
I think you meant dividing instead of diving
What is 1 3/4 hours in minutes?
Answer: 105
Step-by-step explanation:
Please help if you can
Tia dilated the rectangle below by a scale factor of 7/2. What is ther perimeter of the new rectangle?
A
64 inches
B
220 inches
C
2695 inches
D
224 inches
Answer:
Option D
Step-by-step explanation:
Formula to be used,
Scale factor = [tex]\frac{\text{Dimension of the image rectangle}}{\text{Dimension of the original}}[/tex]
By this formula,
[tex]\frac{7}{2}=\frac{\text{Length of the dilated rectangle}}{\text{Length of the original rectangle}}[/tex]
[tex]\frac{7}{2}=\frac{L}{22}[/tex]
L = [tex]\frac{7\times 22}{2}[/tex]
= 77 inches
Similarly, width of the the dilated rectangle = [tex]\frac{7}{2}\times 10[/tex]
= 35 inches
Perimeter of the new rectangle = 2(Length + width)
= 2(77 + 35)
= 224 inches
Option (D) will be the correct option.
Two pounds of cashews cost $19, and 8 pounds cost $76.
Number of pounds 2 3 8
Cost ($) 19 28.50 76
Is the relationship between the cost and the number of pounds of cashews a proportional relationship? Explain.
How can you use your equation to find the cost of 6 pounds of cashews?
Would it be possible to prove this is proportional or not proportional without the table? Explain how you know.
Please reply quickly thanks : )
Answer:
Yes there is a proportinal relationship because when I did 19 divided by 2 I got 9.5 and when I do 76 divided by 8 I got 9.5 so its proportinal. Yes I can find how much money 6 pounds is its 57. And yes I can do it without a table because all you have to do is divide the 19 and 2 and the other 2 numbers and if there the same then its proportinal.
Step-by-step explanation:
BRAINLIEST MAYBE???
-2.5(p+4)+8.1 simplify answer
Answer:
the answer is [tex]-2.5p-1.9[/tex]
Step-by-step explanation:
hope this helps :)
Solve the system of equations by elimination
3x+4y=9
-6x-8y=-18
A. (5,-1)
B. (5,1)
C. Infinite number of solutions
D. (1,5)
If you can, explain step by step please
Answer:
C
Step-by-step explanation:
What is the product of z and w?
-20 + 101
-15 + 51
8-41
20 – 10i
Answer:
A
Step-by-step explanation:
The product of z and w is (-20+10i).
What are imaginary numbers?An imaginary number is a real number multiplied by the imaginary unit i.
Given is a coordinate plane showing imaginary and real numbers.
Coordinates of w = (-5, 5i)
Coordinates of z = (3,i)
w*z = (-5, 5i)* (3,i)
= -15-5i+15i-5
= -20+10i
Hence, The product of z and w is (-20+10i).
For more references on imaginary numbers, click;
https://brainly.com/question/6748860
#SPJ5
The solution to the system of equations shown is (2, 0).3x − 2y = 6x + 4y = 2When the first equation is multiplied by 2, the sum of the two equations is equivalent to 7x = 14.Which system of equations will also have a solution of (2, 0)?6x - 4y = 6x + 4y = 26x − 4y = 62x + 8y = 2x + 4y = 27x = 146x − 4y = 67x = 14
the answer is c i got it on edge 2020
Answer:
c
Step-by-step explanation:
Your parents gave you $200 to spend on a weeklong school trip. You have budgeted $25 per day for snacks and souvenirs. Write an equation that represents this situation
Answer:
200- 25d
Step-by-step explanation:
d equals number of days on the trip
1. If the total cost function for a product is C(x) = 200(0.02x + 6)3 dollars, where x represents the number of hundreds of units produced, producing how many units will minimize average cost?
2. A firm can produce only 3900 units per month. The monthly total cost is given by C(x) = 500 + 200x dollars, where x is the number produced. If the total venue is given by R(x) = 450x-1/100x^2 dollars, how many items, x, should the firm produce for maximum profit?
3. If the profit function for a product is P(x) = 3600x + 60x2 ? x3 ? 72,000 dollars, selling how many items, x, will produce a maximum profit?.
Answer:
a. The number of units which will minimize average cost is approximately 5,130 units.
b. The firm should produce 12,500 items, x, for maximum profit.
c. The number of items, x, that will produce a maximum profit is 60 items.
Step-by-step explanation:
Note: This question is not complete as there are some signs are omitted there. The complete question is therefore provided before answering the question as follows:
1. If the total cost function for a product is C(x) = 200(0.02x + 6)^3 dollars, where x represents the number of hundreds of units produced, producing how many units will minimize average cost?
2. A firm can produce only 3900 units per month. The monthly total cost is given by C(x) = 500 + 200x dollars, where x is the number produced. If the total venue is given by R(x) = 450x-1/100x^2 dollars, how many items, x, should the firm produce for maximum profit?
3. If the profit function for a product is P(x) = 3600x + 60x2 - x3 - 72,000 dollars, selling how many items, x, will produce a maximum profit?
The explanation to the answer is now given as follows:
1. If the total cost function for a product is C(x) = 200(0.02x + 6)3 dollars, where x represents the number of hundreds of units produced, producing how many units will minimize average cost?
Given;
C(x) = 200(0.02x + 6)^3 ……………………………………….. (1)
We first simplify (0.02x + 6)^3 as follows:
(0.02x + 6)^3 = (0.02x + 6)(0.02x + 6)(0.02x + 6)
First, we have:
(0.02x + 6)(0.02x + 6) = 0.004x^2 + 0.12x + 0.12x + 36 = 0.004x^2 + 0.24x + 36
Second, we have:
(0.02x + 6)^3 = 0.004x^2 + 0.24x + 36(0.02x + 6)
(0.02x + 6)^3 = 0.00008x^3 + 0.048x^2 + 7.20x + 0.0024x^2 + 1.44x + 216
(0.02x + 6)^3 = 0.00008x^3 + 0.048x^2 + 0.0024x^2 + 7.20x + 1.44x + 216
(0.02x + 6)^3 = 0.00008x^3 + 0.0504x^2 + 8.64x + 216
Therefore, we have:
C(x) = 200(0.02x + 6)^3 = 200(0.00008x^3 + 0.0504x^2 + 8.64x + 216)
C(x) = 0.016x^3 + 10.08x^2 + 1,728x + 43,200
Therefore, the average cost (AC) can be calculated as follows:
AC(x) = C(x) / x = (0.016x^3 + 10.08x^2 + 1,728x + 43,200) / x
AC(x) = (0.016x^3 + 10.08x^2 + 1,728x + 43,200)x^(-1)
AC(x) = 0.016x^2 + 10.08x + 1,728 + 43,200x^(-1) …………………………. (2)
Taking the derivative of equation (2) with respect to x, equating to 0 and solve for x, we have:
0.032x + 10.08 - (43,300 / x^2) = 0
0.032x + 10.08 = 43,300 / x^2
X^2 * 0.32x = 43,300 – 10.08
0.32x^3 = 43,189.92
x^3 = 43,189.92 / 0.32
x^3 = 134,968.50
x = 134,968.50^(1/3)
x = 51.30
Since it is stated in the question that x represents the number of hundreds of units produced, we simply multiply by 100 as follows:
x = 51.30 * 100 = 5,130
Therefore, the number of units which will minimize average cost is approximately 5,130 units.
2. A firm can produce only 3900 units per month. The monthly total cost is given by C(x) = 500 + 200x dollars, where x is the number produced. If the total revenue is given by R(x) = 450x-1/100x^2 dollars, how many items, x, should the firm produce for maximum profit?
P(x) = R(x) - C(x) ……………. (3)
Where;
P(x) = Profit = ?
R(x) = 450x-1/100x^2
C(x) = 500 + 200x
Substituting the equations into equation (3), we have:
P(x) = 450x - 1/100x^2 - (500 + 200x)
P(x) = 450x - 0.01x^2 - 500 - 200x
P(x) = 450x - 200x - 0.01x^2 - 500
P(x) = 250x - 0.01x^2 – 500 …………………………………. (4)
Taking the derivative of equation (4) with respect to x, equating to 0 and solve for x, we have:
250 - 0.02x = 0
250 = 0.02x
x = 250 / 0.02
x = 12,500 items
Therefore, the firm should produce 12,500 items, x, for maximum profit.
3. If the profit function for a product is P(x) = 3600x + 60x2 – x^3 - 72,000 dollars, selling how many items, x, will produce a maximum profit?
Given;
P(x) = 3600x + 60x2 – x^3 - 72,000 …………………………. (5)
Taking the derivative of equation (5) with respect to x, equating to 0 and solve for x, we have:
3600 + 120x - 3x^2 = 0
Divide through by 3, we have:
1200 + 40x – x^2 = 0
1200 + 60x – 20x – x^2 = 0
60(20 + x) – x(20 + x) = 0
(60 – x)(20 + x) = 0
Therefore,
x = 60, or x = - 20
The negative value of x (i.e. x = - 20) will be will be ignored because it has no economic significance. Therefore, the number of items, x, that will produce a maximum profit is 60 items.
I need help, please
it is do tomorrow
Answer:
#2) 30% of 400 is 120 and 120/6 = 2 so it took him 2 hours
#3) 2.5/3.2 = .78 and 1/1.2 =.83 so buying the bigger one you are paying less
P (3,-8) Q (-2,5)
Use the distance formula to find the exact distance
Answer:
answer is 1-8(87)
Step-by-step explanation:
How many
2/3
-cup servings are in four cups of pistachios?
Answer:
4
Step-by-step explanation
please help i'd appreciate it!
Answer:
|-8|=8
|10|=10
Step-by-step explanation:
any negative number between the two slashes '||' equals to always a positive number
and a positive number between the two slashes '||' remains the same
Helppppppppppppppppppp pleaseeeeeeeeee
Answer:
1.5 goes in between the 0 and the first line (meaning 1) and 0.5 goes in between the left of the zero and the line before the zero