The constant of variation is 3.
How to illustrate the information?It should be noted that in the information, we are given the values of both x and y.
When x is 2, y is 6. When x is 5, y is 15. Finally when x is 8, y is 24.
The constant is given as 6/2 or 15/5 or 24/8. This will give 3.
Therefore, the constant of variation is 3.
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X And y values shown x
X. Y
2. 6
5. 15
8. 24
What is the constant of variation?
A semi-circular transom above a 34 inch door is to contain a stained glass window. If the stained glass
window costs $1.40 per square inch, how much will the window cost?
The cost of the semi-circular transom stained glass window is $107.702.
What is defined as the semicircle?A semicircle is formed when a circle is divided in half along its diameter. The two halves are equal in size.
A semicircle, also known as a half-disk, is a circular sheet plate that has been folded in half. The semicircle has one line of symmetry, which is known as the reflection symmetry. Because the semicircle is half of a 360° circle, the semicircle's arc always measures 180°.Now, for the for given question;
The width of the door is given as 34 inch which is same as the diameter of the semicircle of window.
The radius of the window becomes 34/2 = 17 inches.
Now, the formula for the area of the semicircle is;
A = πr²/2
Where, r is the radius and π = 3.14.
Substitute the values;
A = (3.14)(17)²/2
On simplification
A = 76.93 square inch.
Now, the cost of window glass is $1.40 per square inch.
Thus, for 76.93 square inch.
Rate = 76.93×1.40
Rate = $107.702
Therefore, the cost of the semi-circular transom stained glass window is found to be $107.702.
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Can somebody help me if you know what this is
Answer:
(d) 7/25 -(24/25)i
Step-by-step explanation:
You want the value of 4-3i divided by its conjugate.
ConjugateThe conjugate of a sum is the same sum with the sign changed.
conjugate of 4-3i is 4+3i
conjugate of 4+√2 is 4-√2
In algebra, a conjugate is often used when squaring one of the terms will make it "rational" or real (or both). That is because the product of a number and its conjugate is the difference of the squares of the parts of the sum.
(a -b)(a +b) = a² -b²
ApplicationYou want the value of (4-3i) divided by its conjugate. Simplifying that expression will also make use of the conjugate.
[tex]\dfrac{4-3i}{4+3i}=\dfrac{(4-3i)(4-3i)}{(4+3i)(4-3i)}=\dfrac{4^2+2(4)(-3i)+(3i)^2}{4^2-(3i)^2}=\dfrac{(16-9)-24i}{16+9}\\\\=\boxed{\dfrac{7}{25}-\dfrac{24}{25}i}[/tex]
Points A, B, C, and D are collinear and positioned in that order. Find the length indicated.
AC=149, BD= 3x+307, BC= 6x+443, AD= 8x + 717. Find BC
If A, B, C, and D are collinear points then the length of BC = 6x +443 is 59.
What are collinear points?A group of three or more points that are located along the same straight line is called collinear points. On separate planes, collinear points may exist, but not on different lines. Collinearity is the quality of two points being parallel to one another. Any three or more points are only considered to be collinear if they are situated along the same straight line. There is only one line that can pass through three locations that are collinear.
Given that A, B, C, and D are collinear points and position in that order.
AC = 149
BD = 3x + 307
BC = 6x + 443
AD = 8x + 717
We can determine the length of AB
AB + BD = AD
AB + 3x + 307 = 8x + 717
AB = 8x - 3x + 717 - 307
AB = 5x + 410
Now, we know that
AB + BC = AC
5x + 410 + 6x + 443 = 149
11x + 853 = 149
11x = -704
x = - 64
Put x= -64 in BC
BC = 6(-64) + 443
BC = - 384 + 443
BC = 59
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After the first rounds of a card game, a persons score is 0 points. The persons score decreased 70 points during their second round. What was the persons score after the first round of the game?
Answer: Its C I just took the test
Step-by-step explanation:
jada walks up to a tank of water that can hold up to 10 gallons a drain empities watrt from the tank at a constant rate when jada first sees the tank it contain 7 gallong of water tree minutes later it contains 5 gallons of water at what rate is the amount of water in the tank changing
Answer: 350
Step-by-step explanation:
times 10 by 7 so do 7 times 10 then u get 70 then do 70 times 5 and youll get 350
A recipe for limeade calls for 10 limes, 0.25 cups of sugar, 1 quart of water, and 1 sprig of mint, and yields eight 4-fluid-ounces servings. How many limes would you need to make fifteen 0.75 cups servings of limeade.
0.9375 limes are required to make 0.75 cups servings of limeade.
Unitary method is a concept in which the value of a single unit is first found out and then multiplied by the necessary value to get the required answer.
Here, we are given that a recipe for limeade calls for 10 limes and gives us eight cups of servings of limeade.
⇒ 10 limes make up 8 cups
Number of limes required for 1 cup of limeade = 10/8
= 1.25 limes
Thus, limes required for making 0.75 cups of limeade = 1.25 × 0.75
= 0.9375 limes
Thus, 0.9375 limes are required to make 0.75 cups servings of limeade.
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What value of the unknown exponent makes
[tex]13 { }^{?} = \frac{1}{13 {}^{ - 2} } [/tex]
true?
Answer:
2
Step-by-step explanation:
[tex]13^{2}[/tex] = [tex]\frac{1}{13^{-2} }[/tex]
what is -10 -4 with counters
Answer:
-14
Step-by-step explanation:
When you're subtracting from a negative number you're just adding 2 negative numbers making it go farther from 0.
help ASAP don't answer just for points, and have an explanation okay? e.x: writing the math out
Answer:
Josh spent $29.87
Step-by-step explanation:
$12.99 + 3.75×4.5 = $29.865 ≈ $29.87
Answer:
Okay, so what you first want to do is is find out what 3.75 times 4 1/2 is. First you can start by transitioning 4 1/2 into decimal form like so:
4.5And then multiply 3.75 times 4.5
3.75*4.5=16.87Then add you quotient to the amount of money that he paid for the flat rate:
12.9916.87 + 12.99 = 26.86Answer = $26.86
Step-by-step explanation:
Alonso has $460 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $270.71.
He buys 4 bicycle reflectors for $3.09 each and a pair of bike gloves for $33.71.
He plans to spend some or all of the money he has left to buy new biking outfits for $68.20 each.
Write and solve an inequality which can be used to determine xx, the number of outfits Alonso can purchase while staying within his budget.
Answer: [tex]0\leq x\leq 2[/tex]
Step-by-step explanation:
[tex]460-270.71-3.09*4-33.71=143.22[/tex]
After all his purchases, he has $143.22 left. Outfits cost $68.20 each.
[tex]143.22/68.20=2.1[/tex]
He has enough to buy at most, 2 outfits.
So, your inequality would be
[tex]0\leq x\leq 2[/tex]
Answer:
v
Step-by-step explanation:
v
7. A piece of stone on Planet Y weighs seven pounds, but on Earth it weighs only
pounds. What would a 130-pound Earthling weigh on Planet Y?
The 130-pound Earthling will weigh 227.5 pounds on Planet Y.
We are given that:
a piece of stone weights 7 pounds on a Planet Y.
and the same stone weights 4 pounds on the planet earth.
We need to find that how much 130 pound Earthling weigh on the planet Y.
We know that:
7 is 175% of 4
As, 175 / 100 × 4 = 175 / 25 = 7
We will use percentage here:
So now, we will calculate 175 % of 130 pounds.
175% of 130 = 175 / 100 × 100
175% of 130 = 227.5
Therefore, the 130-pound Earthling will weigh 227.5 pounds on Planet Y.
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using the fractions 2/3 and 3/4 describe how to give two fractions common denominators. In terms of math drawings what are you doing when you give fractions common denominators/what stays the same and what changes?
We solely used prime integers to find the prime factorization, giving us the least common denominator for 2/3 and 3/4. Final answer is 12.
What is prime integers?
A prime number is any natural number greater than one that is not the sum of two lesser natural numbers. Any natural number greater than one that is not prime is referred to as a composite number. For instance, the product 1 5 and 5 1 are the only two ways to write the number 5, making it a prime.
If a positive integer's sole factors are one and itself, then it is a prime number if it is greater than or equal to 2.
One approach is to determine the denominators' prime factorization, which are 3 and 4. Three would be prime factorized as 1 x 3 and four as 2 x 2, respectively. We would have 2 x 2 x 3 = 12 if we solely used prime integers to find the prime factorization, giving us the least common denominator for 2/3 and 3/4. Final answer is 12.
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Graph y= -x/3 - 3/2
Answer:
See explanation
Step-by-step explanation:
Evaluate the expression when y =5 and x = 7
4y + x
Answer:
i believe it is 27.
Step-by-step explanation:
since y = 5 and x = 7, what you would do is 5×4+7. which equals 27
The Sports Brand Company is making a new shoe that has a wholesale price of $60,
and it wishes to advertise a retail price of $150. What is the markup percentage?
Give answer to nearest whole percent.
The mark up percent on the retail price is 150%.
How to calculate the percentage?Since the Sports Brand Company is making a new shoe that has a wholesale price of $60,
and it wishes to advertise a retail price of $150,the markup will be:
= $150 - $60
= $90
Therefore the markup percentage will be:
= Mark up/ Original price × 100
= 90/60 × 100
= 3/2 × 100
= 150%
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The ages of students in a dance class are 10, 9, 11, 12, 9, 10, 9, 10, 11, 12, 8, 12, 12. What is
the mode for this set of data?
10
oll
12
Answer:89
Step-by-step explanation:
1. For any integer x, x²-x will always produce an even value. True or false?
For any integer x, x²-x will always produce an even value is TRUE in all sense.
As per the question statement, we are given an expression [tex]x^{2} -x[/tex] and asked about the validation of the statement, "For any integer [tex]x[/tex], [tex]x^{2} -x[/tex] will always produce an even value.
Lets first take a positive value say [tex]x=3[/tex], which is an integer also
[tex]x^{2} -x\\=3^{2} -3\\=9-3\\=6[/tex]
which is an even number.
Now lets take a negative value say [tex]x=-7[/tex], which is an integer also
[tex]x^{2} -x\\=7^{2} -7\\=49-7\\=42[/tex]
which is an even number also.
Hence the statement "For any integer x, x²-x will always produce an even value" is TRUE in all sense.
Integer: Set of whole numbers that can be positive, negative and zero as well.Even number: Any number divisible by number 2 is an even number e.g., 2, 4, 6, 8, 0To know more about integers, click on the link given below:
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Questions and answers involved
Answer:
So what are the questions?
Step-by-step explanation:
The figure shows a net of a cube. Which expression can be used to find the total surface area of the cube?
Answer:
Option C: 6(7 * 7)
Step-by-step explanation:
There are six faces of the cube. Since each face is 7 by 7 units, there are 6(7 *7) units total.
9
00
Click and drag to plot a parallel line.
The line will change colors when a parallel
or perpendicular line is drawn accurately.
√
10
-5
4
32
-2
-1
10
8
50
32
2
-1
13
32
-4
10
9
7 00
6
-10
10
co
4
5
6
7
8
9
10
The air temperature at 9am is -5.8 degrees Celsius the air temperature at noon is -1.6 degrees Celsius what change in the temperature during these three hours?
The change in the temperature during these three hours will be -4.2° Celcius.
How to calculate the value?From the information, the air temperature at 9am is -5.8 degrees Celsius and the air temperature at noon is -1.6 degree.
Therefore, the change in the temperature during these three hours will be:
= -5.8 - (-1.6)
= -5.8 + 1.6
= -4.2° Celcius
Therefore, the change in the temperature during these three hours will be -4.2° Celcius.
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Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $28 monthly fee and charges an additional
$0.14 for each minute of calls. The second plan has a $19 monthly fee and charges an additional $0.19 for each minute of calls. For how many minutes of calls
will the costs of the two plans be equal?
Answer:
POINTS
Step-by-step explanation:
i’ll give you brainlist please help
Answer:
Option C.
Step-by-step explanation:
It literally shows u how to do it on the chart step by step just add subract then divide lol.
A carpenter cut the top section of a window frame with a 40º angle on each end. The side pieces each have a 50º angle cut at their top ends, as shown.
Will the side pieces of the frame be parallel?
How do you know?
(Click document to see image)
If a carpenter cut the top section of a window frame with a 40º angle on each end. The side pieces each have a 50º angle cut at their top ends, as shown. Yes the side pieces of the frame will be parallel. How i know is that both side are equal or parallel.
ParallelThe interior angles are the same or equal in measure. On the other hand the sum of the interior angles have to be 180°.
The two side pieces on the right hand and left hand side are equal in measure. The sides can be parallel only if the sum of both side angles is equal to 180°
Let calculate the one side of the interior angle and both side of the interior angle
One side of the interior angle=40º+50º
One side of the interior angle=90°
Both side of the interior angle=90°+90°
Both side of the interior angle=180°
Hence,
The side are parallel because: 180°=180°
Therefore Yes the side pieces of the frame will be parallel. How i know is that both side are equal or parallel.
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The graph shows the number of vehicles built at a factory last month
How many fewer bulldozers were built than garbage trucks and motorcycles combined
There are 14 fewer bulldozers were built than garbage trucks and motorcycles combined.
What is a bar chart?The bar chart is one of the means that we can use to show data. The bar chart is used to show categorical variables, discrete variables or continuous variables grouped variables.
The bar chart has two axes, the vertical axes and the horizontal axes. The vertical axes is used to show the number while the horizontal axis shows the type of the object.
We can see that the number of garbage trucks and motorcycles combined = 4 + 20 = 24
Number of bulldozers = 10
We now have; 24 - 10 = 14
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The perimeter of the rectangle below is 44 units. Find the length ab. If dc is 3z-3. And cb is 2z.
Answer:
ab=12
Step-by-step explanation:
p=perimeter
ab=cd ==> they're opposite sides of the rectangle, so they're equal
bc=da ==> they're opposite sides of the rectangle, so they're equal
p=ab+bc+cd+da
p=ab+cb+dc+da
p=ab+dc+2*cb
44=3z-3+3z-3+2*2z
44=3z+3z-3-3+4z
44=6z+4z-6
44=10z-6
10z=50
z=5
ab=cd=dc=3z-3
ab=3(5)-3
ab=15-3
ab=12
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Question 1 (Multiple Choice Worth 1 points)
(01.07 MC)
A pair of parallel lines is cut by a transversal.
If m ZA-(6x-3) and m2B-(9x-24)", what is the value of x?
1.4
7.8
13.8
Question 20Multiple Choice Worth 1 point
The value of x is option (B) 7° for the parallel lines that is being cut by a transversal.
We are given a pair of parallel lines that is cut by a transversal.
Also, we are given that
m ∠ A = (6 x - 3)°
m ∠ B = (9 x - 24)°
Also, we know that in parallel lines cut by a transversal, the alternate exterior angles are equal.
So, we get that:
∠ A = ∠ B
(6 x - 3)° = (9 x - 24)°
6 x - 3 = 9 x - 24
9 x - 6 x = 24 - 3
3 x = 21
x = 21 / 3
x = 7°
Therefore, the value of x is option (B) 7° for the parallel lines that is being cut by a transversal.
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The radius of the base of a cylinder is 38 mm and it’s height is 51 mm. Find the surface area of the cylinder in terms of pi.
The surface area of the cylinder is 6764π mm².
Given the radius of the cylinder is 38 mm and
the height of the cylinder is 51 mm.
we are asked to determine the surface area = ?
we know that surface area of a cylinder = 2πrh + 2πr²
given, r = 38 mm
h = 51 mm
substitute the above values to get the surface area.
A = 2πrh + 2πr²
A = 2π(38)(51) + 2π(38)²
A = 2π(1938) + 2π(1444) mm²
A = 3876π + 2888π mm²
A = 6764π mm²
Hence the surface area of the cylinder is 6764 mm² in terms of π.
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what fraction equals . 45?
Answer:
9/20
Step-by-step explanation:
0.45 is really 45/100 if you simplify it can only simplify to 9/20 because 9 and 20 don't have a common denominator that will end in two whole numbers
I am outside the path. I am the diffference of 2 numbers inside the path. I am less than 5. What number am I?
Answer:
I think 0
Step-by-step explanation: