Find the mathematical model for the following statement. Remember to use k as the constant of proportionality.
P varies directly as the product of I and V.
Answers
This is an example of joint variation that takes the form: z=kxy, where k=constant of proportionality.
As P varies directly as the product of I and V it is P = KVT
What is proportion?Proportions are of two types one is the direct proportion in which if a constant k increases one quantity the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if a constant k increases one quantity the quantity will decrease by the same constant k and vice versa.
Given, P varies directly as the product of I and V, therefore if P increases
V or I or V and I will also increase.
We can write this direct proportionality as,
P ∝ VI.
Now to remove the proportionality sign we'll use a constant factor K and an equality sign,
P = KVT.
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Related Questions
Ryan bought 2 pounds of almonds and 3 pounds of peanuts. He mixed them together and divided them into bags. He put 1/8 pound of mixed nuts into each bag. Write an equation to represent the number of bags, b, Ryan filled.
Answers
Answer:
8(2A+3P) 40 bags
Step-by-step explanation:
(2A+3P)/ (1/8) 8(2A+3)
2 pounds of almonds (2A) + 3 pounds of peanuts(3P) = 5pounds of the mix
5/1 divided into 1/8 , that is the same as 5/1 multiplied be 8/1
5/1 x 8/1 =40
Two groups of hikers take two different routes from Camp A to Camp B. The first group leaves Camp A at 9:00 AM and takes a route that is 30 miles longer than the second group's route.
The second group leaves Camp A at 1:00 PM. Their hiking speed is 2 mph slower than the first group's speed.
Both groups reach Camp B at 4:00 PM. How fast does each group hike?
Answers
Answer:
6 and 4 because its correct 100%
Step-by-step explanation:
Is the open sentence8−4x=4x true or false when x = 0?
Answers
Answer:
FLASE
Step-by-step explanation:
8 - 4(0) = 4(0)
8 - 0 = 0
8 ≠ 0
Enter the correct answers in the boxes.
27% of 140=
% of 500=90
32% of
=8
Answers
the answer is 5.185 percent
3. Atile warehouse has Inventory at hand and can put in for a
der from a supplier of bundles of tiles.
Currently they have 38 tiles of a certain kind in stock, and can
as Inventory at hand and can put in for a back order from a su
bundle. The equation that represents this order is as follows;
in kind in stock, and can only order more in groups of 12 tiles per
The number of tiles = 12b+38, where b is the number of bundles ordered
(a) If a customer needs 150 tiles, how many bundles will need to be ordered?
answer. Why do we need to round our answer up in this problem?
undles will need to be ordered? Explain how you got your
Answers
Step-by-step explanation:
Given the equation that represents this order expressed as;
The number of tiles = 12b + 38 where;
b is the the number of bundles ordered
If a customer needs 150 tiles, the total number of bundles ordered can be gotten by simply substituting The number of tiles into the modeled equation and find the value of b. This is as shown below;
On substituting;
150 = 12b + 38
12b = 150 - 38
12b = 112
b = 112/12
b = 9.33
b ≈ 9 bundles
We need to round up the problem because the number of tiles can not be in fraction but as whole numbers.
The inequality compare between two parameters with a certain extent. The number of bundles to be ordered are 10.
Given that:
Number of tiles the customer needs is 150.
Number of tiles supplier already has is 38.
Tiles per bundle is 12.
And we don't want to supply less tiles to the customer, that is why we will order equal or more tile bundles that will satisfy the customer's needs.
Let b be the number of bundles.
Or symbolically, using inequality, we can say that:
[tex]12\times b \: + 38 \geq 150\\\\b \geq \dfrac{112}{12}\\\\b \geq 9.333...\\[/tex]
Since bundles ordered will be counted in positive integers, thus we have:
b = 10
Thus, the number of bundles to be ordered are 10.
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Trevor has an investment worth $6,774. 50. He made his only deposit in it 22 years ago. Given that the investment yields 2. 7% simple interest annually, how big was the initial deposit? a. $2,524. 50 b. $4,024. 03 c. $4,250. 00 d. $11,404. 88 Please select the best answer from the choices provided A B C D.
Answers
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6774.50\\ P=\textit{original amount deposited}\\ r=rate\to 2.7\%\to \frac{2.7}{100}\dotfill &0.027\\ t=years\dotfill &22 \end{cases} \\\\\\ 6774.50=P[1+(0.027)(22)]\implies \cfrac{6774.50}{1+(0.027)(22)}=P\implies 4250=P[/tex]
Trent is 25 years old and works for a company that matches his 401(k) contribution up to 5%. The interest rate for his 401(k) is 7. 3%. If he puts away 10% of his $32,000 salary every year, what would the total of his 401(k) be in 10 years? Round your answer to the nearest cent. A. $67,266. 16 b. $72,176. 59 c. $33,250. 60 d. $35,677. 89 Please select the best answer from the choices provided A B C D.
Answers
The best answer from the choices provided will be B. The total of his 401(k) be in 10 years will be $72,176. 59.
What is the interest rate?The interest rate is a proportion of the principal that a lender charges a borrower. The annual percentage rate (APR) is the term used to describe the interest rate on a loan (APR).
Trent calculates the future value of the contribution using the Future Value formula with an increased contribution each year.
On doing the annual Contribution calculation we get;
The formula for calculating the future value of a yearly donation is as follows:
If F is the future value, P is the present value,n is the time period and I is the interest rate then;
Future value = Present value(1+ Interest rate)ⁿ
[tex]\rm F= P(1+I)^n \\\\ \rm F= 3200(1+7.3 \%)^{10} \\\\ \rm F= \$\ 34443.6[/tex]
Similarly, the formulas may be used to obtain a total contribution value of $72176.59.
Hence the best answer from the choices provided will be B. The total of his 401(k) be in 10 years will be $72,176. 59.
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Find the area of ABC to the nearest tenth.
C=32°, a = 12.6 m, b = 8.9 m
A)118.9 m2
B)112.1 m2
C)59.4 m2
D)29.7 m2
Answers
Answer:
the answer is d) 29.7
Step-by-step explanation:
4 (-3x+ 6)=4 (-3x) + 4 (6)
Answers
Answer:
I think its 0= 0
Step-by-step explanation:
e total weight of two garden statues was 714 pounds. If one statue weighed 342 pounds, how heavy was the other one?
Answers
Answer:
372
Step-by-step explanation:
Since we know the total weight which is 714 and we know the weight of one garden which is 342, all we need to do now is subtract:
714 - 342 = 372
What is the volume of this oblique cone?
Answers
Answer:You need π (Pi = ~ 3.14) over 3, then multiply by the radius to the power of two and finally multiply by the height.
Step-by-step explanation:
YW!!! =^.^= please mark branlest!
15) through: (5, -3), parallel to y=-x-4
A) r-2y=-2 B) 2x + y= 2
C) x + y = 2 D) x+y=-2
Answers
Step-by-step explanation:
C
parallel to y=-x-4 is C or D
(5,-3)=> C
Peter has 90 mild peppers and 36 hot peppers.
If Peter wants to put the peppers into baskets so that each basket has
the same number of mild peppers and the same number of hot pep-
pers, what is the greatest number of baskets he can make with how
many of each type of pepper?
Find the greatest common factor of 90 and 36.
Answers
What is that decimal value of 4/11
Answers
Answer:
0.3636
Step-by-step explanation:
1 The graph below shows a relationship between x and y. }
Answers
Answer:
C. 1/2x +2
Step-by-step explanation:
We can see in the graph that the value of y for 2 its 3, so we have to test each equations to see which one is going to give us a 3 whit 2 as the x.
A. 2x2=4 (4≠3)B. 2+2=4 (4≠3)C. 1/2 x 2+2=3 D. 2x2+1/2= 4.5 (4.5≠3)The function f(x) is shown on the provided graph.
Graph the result of the following transformation on f(x). F(x)+6
Answers
Answer:
Step-by-step explanation:
the answer is in the attachment below the graph.
Sumita is following this recipe to make flapjacks.
Sumita uses 20 g of sugar.
How many flapjacks is Sumita making?
Recipe: Makes 14 flapjacks
220 g margarine
140 g sugar
140 ml syrup
250 g oats
30 g sultanas
Answers
20flapjacks
Step-by-step explanation:
so this is the answer
Answer:
20 flapjacks
Step-by-step explanation:
Using your understanding of the cause and effect relationship between volume and temperature, explain what happens to the motion of the particles and the kinetic energy of the particles inside a basketball after it has been left out in the cold. Use a model to support your answer.
Answers
Answer:
See explanation
Step-by-step explanation:
Temperature is defined as a measure of the average kinetic energy of the molecules of a body. A very important deduction from the kinetic theory of gases is that temperature is proportional to the kinetic energy of gas molecules.
A basketball is filled with gas particles. The higher the temperature of the surrounding, the greater the kinetic energy of the gas particles inside the basketball and the faster their motion and vice versa.
Hence, if a basketball is left in the cold, the kinetic energy of the gas particles in it will decrease and the particles will move very slowly at low velocities.
What is the value of x in the equation −x = 6 − 4x + 18? (1 point) 24 8 −8 −24
Answers
Answer: 8
Step-by-step explanation:
May anyone help me with this answer if possible?
Answers
Answer:
the answer should be 2,310 pounds
coach P is deciding which job he would like to take. Job A will pay him time bonus of $10,000 plus $500 per day. Job B will pay him a one time bonus of $17,000 plus $300 per day. How many days would Coach P have to work for the two job offers to pay the same?
Answers
Answer:
35 days
500x35=17500
17500+10000=27500
300x35=10500
10500+17000=27500
PLEASE HELP ASAPPPPP!!!!
Answers
Answer:
(3,-2)
Step-by-step explanation:
All the others are either negative, 0, or 1. The outlier is 3,-2 because no other coordinate has a positive 3 in the x position.
Hope this helps!!
Have an amazing day!!
PLEASE RATE AND MARK BRAINLIEST!!
Please show me how to do this! will mark brainliest
Answers
Answer:
just place them on the chart
Step-by-step explanation:
pls I'm begging for help T-T
Answers
Q1. I will use team A's results to claim that their shoes are larger because the mean of team A is 13.92 whereas the mean of team B is 12.83.
Q2. I will use team B's results to claim their shoes are larger because the table of team A stops at 16, however team B's top shoe size is 18, therefore team B has the largest shoe size.
Q3. Both teams have the same average shoe size because the results are only 1 size away from each other most times.
(sorry about Q3 I'm not entirely sure about that one.)
Answer:
b is 23.7
a is 17.6
d is 9m8
Step-by-step explanation:
these are based on my calculations
hope i helped :)
A new bank customer with $3000 wants to open a money market account. The bank is offering a simple interest rate of 1.2%.
a. How much interest will the customer earn in 30 years?
b. What will the account balance be after 30 years?
Answers
Answer:
Step-by-step explanation:
B)4,290.78 after 30 years.
B1)3000(1.012)^30=4290.78
A) 1,290.78
A1) 4,290.78-3000-1,290.78.
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its a math question!!! please help! Find the image points given the following triangle reflected across the line y = -1
D(-1,-1), E(1,3), F(3, -2)
Question options:
D'(-2,-2), E'(0,-6), F'(2,-1)
D'(2,-1), E'(21,3), F'(0,-2)
D'(1,1), E'(-1,-3), F'(-3,2)
D'(-1,-1), E'(1,-5), F'(3,0)
Answers
Answer:
Step-by-step explanation:
Point D lies on the line, so it is invariant.
Point E is a distance of 4 units away from the line y=-1, so E is now (1, -1-4)=(1, -5).
By the same logic, F' is now (3, 0).
The image points of triangle reflected across the line y = -1 is D'(-1,-1) ,E'(1,-5) , F'(3, 0) .
What is image point?The given point P is "reflected" in the mirror and appears on the other side of the line an equal distance it. Drag the point P to see this. The reflection of the point P over the line is by convention named P' (pronounced "P prime") and is called the "image" of point P.
According to the question
Triangle points given
D(-1,-1), E(1,3), F(3, -2)
and reflected across the line y = -1
As, we have to reflect from y = -1 , there will be no change in x axis in image points only y axis will be change .
D(-1,-1)
x axis = -1
y axis = -1
x' axis = -1
y' axis = distance from -1 to -1 = 0
therefore,
y' axis = -1
D'(-1,-1)
E(1,3)
x axis = 1
y axis = 3
x' axis = 1
y' axis = distance from 3 to -1 = |3 -(-1 ) |= 4 unit
therefore, 4 unit form -1 in negative
y' axis = - 5
E'(1,-5)
F(3, -2)
x axis = 3
y axis = -2
x' axis = 3
y' axis = distance from -2 to -1 = |-2 -(-1 )| = 1 unit
therefore, 1 unit form -1 in positive
y' axis = 0
F'(3, 0)
Hence, the image points of triangle reflected across the line y = -1 is D'(-1,-1) ,E'(1,-5) , F'(3, 0) .
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What is the difference between a copay and coinsurance?
Answers
Answer:
A deductible is the amount you pay for a service before the plan shares the cost of the service with you. A copay is a set amount you pay for the service. Coinsurance is when you pay a percentage of the cost for an item or service.
Would appreciate the help :))
Answers
Answer:
blank one: -1 blank two: -15
Step-by-step explanation:
I'm not sure but I think its correct
PLEASE HELPPP!!! my teacher doesn’t teach right and im extremely confused
5. ALGEBRA Sandy Schabel owns 400 shares of Exxon
Mobil (XOM) stock. After the quarterly dividends are reinvested
under a dividend reinvestment program (DRIP), she owns
401.6 shares. XOM is selling at $86.40 a share. Find the annual
dividend per share and the annual yield for XOM.
Answers
$34,698.24 is the total amount of money if you sell the stocks, im sorry I don't think this is what you are looking for I barely understood the question.
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Lesson name: I write/solve systems of linear equations word problems
Problem: Tickets for the school play sell for $3 for a student and $5 for an adult. one night, 595 people bought tickets for a total sale of $1951. how many adults and how many student tickets were sold?
Let S=#of student tickets
Let A=#of adult tickets
Equation= 3s+5a=1951
Answers
Answer:
Long division calculator with decimals shows the work step by step. Solve long division with decimal numbers. Calculate the quotient showing long division ...
Step-by-step explanation:
Long division calculator with decimals shows the work step by step. Solve long division with decimal numbers. Calculate the quotient showing long division ...