Answer:
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
The constant of proportionality can be found by finding the ratio of y to x after applying the concept of a proportional relationship.
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
It is given that:
The statement is:
The constant of proportionality can be found by finding the
As we know, from the definition of the proportional relationship; the relationship between two variables when the first variable increases.
Let x and y are in the proportional relationship
y ∝ x
y = kx
Here k is the constant of proportionality:
k = y/x
The constant of proportionality can be found by finding the ratio of y to x.
Thus, the constant of proportionality can be found by finding the ratio of y to x after applying the concept of a proportional relationship.
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A cube shaped block of ice has a mass of 59 kg. The density of ice is 917 kg per cubic meter. The mass of an object is the product of its density and its volume. Write a cubic function to model the mass of a block of ice in terms of its edge length x (in meters).
Using the density formula, the cubic function that models the mass of of a block of ice in terms of its edge length x is:
m = 917x³.
Using the function, the edge length of the block of ice is of 0.4 m.
What is the formula for the density of an object?The density of an object is given by the mass of the object divided by it's volume, as follows:
d = m/v.
Hence the mass of the object is given by the following equation:
m = dv.
For this problem, we have that:
The density of ice is 917 kg per cubic meter, hence d = 917.The block of ice has a cubic format, meaning that v = x³, in which x is the edge length.Hence the cubic function that models the mass of of a block of ice in terms of its edge length x is:
m = 917x³.
Considering the mass of the block of ice, the length is found as follows:
59 = 917x³
x = cubic root(59/917) -> (59/917)^(1/3) in any calculator
x = 0.4 m.
Using the function, the edge length of the block of ice is of 0.4 m.
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Peter Piper picked 3 pecks of pickled peppers in 2.5
hours. How many pecks of pickled peppers does
Peter pick in 15 hours?
Please answer this question!!
Factor the following polynomial x^2-9
Answer:
(x+3)(x-3)
Step-by-step explanation:
We know that [tex](a+b)(a-b)=a^2+b^2\\[/tex]
So, here we have x² and 9, which can be written as 3².
Therefore, we can have x=a and 3=b
So we get
(x+3)(x-3)
To check that we are correct, we can expand the brackets:
x²-3x+3x-9
=x²-9
At the gym , Lucy did 12 more pushups than Jeremy. If Jeremy did 25 push-ups how many push-ups did Lucy do.
Answer:
Lucy did 37 Push-up
Given:
Lucy 12 More than Jeremy
Jeremy 25
Step-by-step explanation:
If Lucy did 12 more than Jeremy that given you that It "Addition"
so 12+ 25 = 37
Therefore, Lucy did 37 Push-up.
the area of the floor in George Square bedroom is 25 feet squared what is the length of his bedroom?
If the height of his room is 6 feet how much wall surface does he have in his room?
Answer:
1. 6.25 square feet
2. 37.5 square feet
Step-by-step explanation:
25 divided by 4=6.25
6.25x6=37.5
Answer:
Length of his bedroom is 5 Ft
Wall Surface he have in his room is 120 ft^2
Step-by-step explanation:
/////////////////////////////////////////////////
Answer:
341Step-by-step explanation:
We observe the pattern:
1, 5, 13, 25, ..It can be put as:
0 + 1, 1 + 4, 4 + 9, 9 + 16, ..or
0² + 1², 1² + 2², 2² + 3², 3² + 4², ..The nth term is going to be:
(n - 1)² + n²The sum of the 31 terms will be:
N = 0² + 1² + 1² + 2² + 2² + 3² + 3² + ... + 30² + 30² + 31²or
N = 2(1² + 2² + 3² + ... + 30²) + 31²Use the formula for sum of the first n squares:
1² + 2² + 3² + ... + n² = n(n + 1)(2n + 1)/6The sum N equals:
N = 2(30*31*61)/6 + 31² = 10*31*61 + 31²And the value of N/31 is:
10*31 + 31 = 341no link or bot please right
Step-by-step explanation:
Answer in the picture above
And at the side 2 laws are mentioned
What is the length of the diagonal of the square shown below? 5 45° 5 5 90° 5 O A. 5
B. 10
C. 5
D. 5/5
E. 5.2
F. 25
The length of the diagonal of the square is d = 5√2.
Given that, the measure of the side of the square is 5.
We need to find the length of the diagonal of the square.
How to find the length of the diagonal of the square?The diagonal of a square formula is d = a√2; where 'd' is the diagonal and 'a' is the side of the square.
Now, d = 5√2
Therefore, the length of the diagonal of the square is d = 5√2.
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Winston ate 180 hot dogs in 9 hours. At that rate, how many hot dogs
would he eat in 12 minutes?
Help!!!!!!!!!!!!!!!!
Answer:
geevehrhrirbirbrbrnrnrbrbrbrbrbblo Uruguay 7dm9 7dm9 uvo idilio icono iconorbtbrbbrbrbrbrjrjjrj4jrkkenenenrnrnnktkr
Step-by-step explanation:
higos arraigo titubear otorgó eurodiputados
Write the sides of GHI in order from shortest to longest
Answer:
IH, GH, IG
Step-by-step explanation:
We will use this key rule: The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
The angle G is 59 degrees, H is 61 degrees and I is 60 degrees.
The smallest angle is 59 degrees, so the shortest side is the one opposite to that angle, which is side IH.
The largest angle is 61 degrees, so the longest side is the side opposite to that angle, which is side IG.
The side in-between these two is side GH, which is opposite to the 60 degree angle.
Consider the graph shown. What is the slope of the line above?
m=1/2
m=2
m= -1/2
m= -2
And which equation represent?
y= -1/2x-1
y= 1/2x-1
y= -2x+1
y= 2x-1
Answer:
i need points im so sorry
A store is having a 20% off sale on coats. What will the sale price be for a coat that originally cost $248
Moon Company produces baseball bats and cricket paddles. It has two departments that process all products – Cutting Department and Finishing Department.
In Finishing Department, direct materials (DM) are added at the start of the process and conversion costs (CC) are added evenly during the process. Company is using Weighted Average method for the Finishing Department.
During July, beginning work in process in the Finishing Department was 80% complete as to conversion. Beginning inventories included $30,800 for transferred-in costs, $13,200 for direct materials, and $27,500 for conversion costs. Ending inventory was 30% complete as to CC. Additional information about the Finishing Department follows:
Finishing
Beginning work-in-process units
26,400
Units transferred in this period
74,800
Units completed & transferred out
79,200
Ending work-in-process units
22,000
Material costs added
$37,400
Conversion costs
$75,460
Transferred-in costs
$141,240
What is equivalent units for transferred-in cost, direct materials, and conversion cost, respectively? Separate with slash /.
Moon Company produces baseball bats and cricket paddles. It has two departments that process all products – Cutting Department and Finishing Department.
In Finishing Department, direct materials (DM) are added at the start of the process and conversion costs (CC) are added evenly during the process. Company is using Weighted Average method for the Finishing Department.
During July, beginning work in process in the Finishing Department was 80% complete as to conversion. Beginning inventories included $30,800 for transferred-in costs, $13,200 for direct materials, and $27,500 for conversion costs. Ending inventory was 30% complete as to CC. Additional information about the Finishing Department follows:
Finishing
Beginning work-in-process units
26,400
Units transferred in this period
74,800
Units completed & transferred out
79,200
Ending work-in-process units
22,000
Material costs added
$37,400
Conversion costs
$75,460
Transferred-in costs
$141,240
What is equivalent units for transferred-in cost, direct materials, and conversion cost, respectively? Separate with slash /.
Moon Company produces baseball bats and cricket paddles. It has two departments that process all products – Cutting Department and Finishing Department.
In Finishing Department, direct materials (DM) are added at the start of the process and conversion costs (CC) are added evenly during the process. Company is using Weighted Average method for the Finishing Department.
During July, beginning work in process in the Finishing Department was 80% complete as to conversion. Beginning inventories included $30,800 for transferred-in costs, $13,200 for direct materials, and $27,500 for conversion costs. Ending inventory was 30% complete as to CC. Additional information about the Finishing Department follows:
Finishing
Beginning work-in-process units
26,400
Units transferred in this period
74,800
Units completed & transferred out
79,200
Ending work-in-process units
22,000
Material costs added
$37,400
Conversion costs
$75,460
Transferred-in costs
$141,240
What is equivalent units for transferred-in cost, direct materials, and conversion cost, respectively? Separate with slash /.
Moon Company produces baseball bats and cricket paddles. It has two departments that process all products – Cutting Department and Finishing Department.
In Finishing Department, direct materials (DM) are added at the start of the process and conversion costs (CC) are added evenly during the process. Company is using Weighted Average method for the Finishing Department.
During July, beginning work in process in the Finishing Department was 80% complete as to conversion. Beginning inventories included $30,800 for transferred-in costs, $13,200 for direct materials, and $27,500 for conversion costs. Ending inventory was 30% complete as to CC. Additional information about the Finishing Department follows:
Finishing
Beginning work-in-process units
26,400
Units transferred in this period
74,800
Units completed & transferred out
79,200
Ending work-in-process units
22,000
Material costs added
$37,400
Conversion costs
$75,460
Transferred-in costs
$141,240
What is equivalent units for transferred-in cost, direct materials, and conversion cost, respectively? Separate with slash /.
The Moon Company's equivalents units for transferred-in cost, direct materials, and conversion cost are 74,800 / 101,200 / 86,800 respectively.
Data and Calculations:
Percentage of completion:
Beginning work in process = 80%
Ending work in process = 30%
Beginning inventories:
Transferred-in costs = $30,800
Direct materials costs = $13,200
Conversion costs = $27,500
Physical Flows of Units:
Beginning WIP = 26,400
Units transferred in from Cutting Department = 74,800
Total production units available = 101,200 (26,400 + 74,800)
Units completed and transferred out = 79,200
Ending WIP = 22,000
Transferred-in Direct Materials Conversion
Units transferred out 79,200 79,200
(79,200 x 100%)
Units transferred-in 74,800 0 0
(74,800 x 100%)
Ending WIP 0 22,000 (100%) 6,600 (22,000 x 30%)
Total equivalent units 74,800 101,200 86,800
Thus, the equivalent units for the Finishing Department are determined based on the percentage of completion under the Weighted Average Method.
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There is 1/2 cupcake left from
Answer:
each boy will get 1/4 of a cupcake
Step-by-step explanation:
1/2 ÷ 2= 1/4
What is the place value of the 1 in the number 6.213
Answer:
The hundredths place
Expanation
6 is in the one's place
2 is in the theth's place
1 is in the hundredth's place
3 is in the thousandth's place
Find the principal invested when they account earns $804 in interest at 6.1 annual interest rate for two years. round to the nearest hundredth.
Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate
Thank You!
Answer:
19.42 ft
Step-by-step explanation:
Triangle Outer Perimeter:
5ft + 5ft = 10ft
Semi-Circle Outer Perimeter:First let's find the circumference of the entire circle:
Circumference = 2πr
Circumference = 2π * 3
Circumference = 6π
Circumference = 6(3.14)
Circumference = 18.84
Now to find the perimeter of the semicircle, we divide that value by two:
6π = 18.84
(6π)/2 = (18.84)/2
3π = 9.42 ft
Total Outer Perimeter:10 ft + 9.42 ft = 19.42 ft
-Chetan K
To solve the following equation for k using the quadratic formula, what value would you substitute for b?
3k2 = 4k + 7
For this case we have a quadratic equation of the form:
ax² + bx + c = 0
Rewriting the equation we have:
3k² -4k - 7 = 0
So we have to:
a = 3
b = -4
c = -7
The solutions will come from:
k = -b±√b²-4(a)(c)/2(a)
Thus, the value of "b" is -4
Answer:
b = -4
Answer: -4
Step-by-step explanation:
i took the quiz its -4
Nick’s house is between his school and the library, which are one mile apart on the same street. A mile is 5280 feet. After school, Nick walks 3195 feet to his house. How many more feet he need to walk to get to the library?
Nick's needs to walk 2,085 feet more to get to the library.
Given:
1 mile = 5,280 feet
Distance from Nick's school to his house = 3195 feet
Recall,
Nick’s house is between his school and the library, which is one mile apart
So,
Distance to work to the library from Nick's house = 1 mile - Distance from Nick's school to his house
= 5,280 feet - 3,195 feet
= 2,085 feet
Therefore,
Nick's needs to walk 2,085 feet more to get to the library.
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Find the indicated values by using the graph.
1. h(2)=_____
2. h(4)=_____
3. h(1)=_____
4. h(5)=_____
5. h(____)=4
6. h(____)=1
7. What are the values for h(____)=2?
Rose and Liz both belong to a club of 20 members. A committee of 4 is to be selected at
random from the 20 members. Find the probability that both Rose and Liz will be
selected
Using the hypergeometric distribution, it is found that there is a 0.0316 = 3.16% probability that both Rose and Liz will be selected.
Hypergeometric distribution:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.In this problem:
Club has 20 members, hence [tex]N = 20[/tex]The committee has 4 members, hence [tex]n = 4[/tex]Rose and Liz are 2 of the members, hence [tex]k = 2[/tex]The probability that both are selected is P(X = 2), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,20,4,2) = \frac{C_{2,2}C_{18,2}}{C_{20,4}} = 0.0316[/tex]
0.0316 = 3.16% probability that both Rose and Liz will be selected.
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SOLVE THIS AND EXPLAIN STEP BY STEP PLEASE!!!!
Answer:0=0
Step-by-step explanation:2(4x + 3) = 17x+3-9x +3 1st we will distribute. 2 times 4x gives you 8x and 2 times 3 gives you 6. Now the equation is 8x + 6 = 17x+3-9x+3.Now we're gonna add 3 + 3 gives you 6. Now the equation is 8x +6 = 17x+6-9x Now we're gonna combine like terms. So now we'll put together 17x - 9x which give you 8x. Now the equation is 8x +6 = 8x +6. Now where gonna subtract 6 from both sides. 8x = 8x and if I simplify it we'll get 0=0 which is the final answer
Please Help
Geometry
Keisha and Jen went out to eat for dinner their meal together were $45.76 they want to leave a 20% tip how much total
Answer:
I'm only guessing its $25.76 but just to classify you should probably ask
You rotate triangle DEF with coordinates D(-2, 2), E (1,5), and F(4, -1) 90° counterclockwise about the origin.
Answer:
70
Step-by-step explanation:
Rotating triangle DEF counterclockwise by 90° about the origin using the rule (x,y) becomes (-y,x) results in new vertices D'(-2, -2), E'(-5, 1), and F'(1, 4).
When rotating triangle DEF counter-clockwise by 90° about the origin using the rule D(x,y) becomes D'(-y,x), the new coordinates are as follows:
⇒ Vertex D(-2, 2) becomes D'(-2, -2),
⇒ Vertex E(1, 5) becomes E'(-5, 1),
⇒ Vertex F(4, -1) becomes F'(1, 4),
This rule swaps the "x" and "y" coordinates while negating one of them, effectively rotating the points 90° counterclockwise around the origin.
Therefore, the new vertices are D'(-2, -2), E'(-5, 1), and F'(1, 4).
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Can yall please help me with this I am helping my brother I just need the answers lol.
Answer:
hope it helps
Step-by-step explanation:
4. 1/3
5. 1/3
6. 3/4
7. 1/4
8. 1/2
9. 3/7
10. 2/7
11. 3/5
12. 2/3
What is 32008 rounded to the nearest highest place value
A recipe called for the ratio of sugar to flour to be 10:3, if you used 70 ounces of sugar, how many ounces of flour would you need to use
Answer:
21 ounces of flour
Step-by-step explanation:
10/3 = 70/x
isolate the so that it is on the top, so multiply by x on the right and on the left
this gives you:
x*10/3=70
try to isolate x and multiply by 3 to get rid of the denominator
x*10=70*3
x*10= 210
finally isolate x by dividing by 10 and getting rid of the 10 multiplying with it
x= 210/10
x=21
you need 21 ounces of flour if you have 70 ounces of sugar you can double check by making sure the ratio of 10/3 is equal to 70/21 and of course they both equal 3.33 repeating, therefore your answer is correct Hope that helps
Answer:
You would need 21 ounces of flour
Step-by-step explanation:
sugar:flour
10:3
10x7=70
70:?
3x7=21
70:21