Constant of variation for given quadratic equation is 2/3
Correct option is a.
What is variation?The ratio between two variables in a direct variation or the product of two variables in an inverse variation.
In the direct variation equations = k and y = k x,
and the inverse variation equations x y = k and
k is the constant of variation.
Given,
quadratic equation,
15y = 10x²
y = (10/15)x²
y = (2/3)x²
Comparing it with general form y = kx²
k = 2/3
Hence, 2/3 is constant of variation for the quadratic equation.
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Plz help if you don’t mind
Answer: Samson is correct
Step-by-step explanation: OK MODS LOOK I EXPLAINED IT GO BULLY SOMEONE ELSE [tex]39x^{2} + 52x^{2} = 4225. \sqrt{4225} = 65[/tex]
help me i need a 3/3
Answer:
4.65
Step-by-step explanation:
144.15/31=4.65
Nasim fills a measuring jug with 310 cm of water. She pours the water into a cylin- drical vase with radius 4 cm. Find the height of water in cm.
Answer:
The height of water in the cylindrical vase is 6.2 cm.
Step-by-step explanation:
Volume of water in the measuring jug = 310 [tex]cm^{3}[/tex].
The radius of the cylindrical vase = 4 cm
volume of cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
But,
volume of water in the jug = volume of water in the vase = 310 [tex]cm^{3}[/tex]
So that,
310 = [tex]\frac{22}{7}[/tex] x [tex](4)^{2}[/tex] x h
= [tex]\frac{22}{7}[/tex] x 16 x h
310 x 7 = 22 x 16 h
2170 = 352h
h = [tex]\frac{2170}{352}[/tex]
= 6.163
h = 6.2 cm
The height of water in the cylindrical vase is 6.2 cm.
The height of water of the jug in cm is; 6.2 cm
We are told that the jug was filled with 310 cm of water. This amount is the volume(V)We are given radius(r) = 4cm
Now, a jug is usually a cylindrical shape and the formula for volume is;V = πr²h
Thus;
310 = π × 4² × h
h = 310/(16π)
h = 6.167 cm
Approximating, we have; h = 6.2 cm
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HELP!!
What is the surface area of this shape?
2 triangular faces
1/2bh
10x15=150
2x150= 300
‘back’ face
7x20=140
‘front’ face
7x25= 175
‘bottom’ face
7x15= 105
total: 585m^2
Angle= A Round your answer to the nearest hundredth.
The angle A using the sum of the angles in a right-angle triangle formula,
is = 44.5°
What is a right-angled triangle?According to the definition of a right triangle, if one of the triangle's angles is a right angle (90 degrees), the triangle is referred to as a right-angled triangle or just a right triangle.
A right triangle's initial characteristic is that one of its angles is 90 degrees. The biggest angle in a right triangle, the 90° angle is a right angle. The other two angles are either sharp or less than 90 degrees.
Now in the given question,
AB = 7
AC = 5
∠C = 90°
Using the formula Sin ∠B = 5/7
Simplifying it:
(Sin ∠B) = 5/7
⇒ [tex]Sin^{-1}[/tex] (Sin∠A) = [tex]Sin^{-1}[/tex] 5/7
⇒ ∠B ≈ 45.5°
Now we know ∠A + ∠B + ∠C = 180°
⇒ ∠A = 180° - 90° -45.5°
⇒ ∠A = 44.5°
Therefore, angle A in the triangle = 44.5°
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please answer this asap
Answer:
I think it's division property and x = 6
1
Look at the triangle below.
37
23
The smallest angle is x, the largest angle is three times the smallest, and angle C is twice
the smallest angle. In AABC. Find the measure of angle B.
A 90°
B 30°
C 60°
D 100°
Answer:
C. 60 Degrees
Taiga wants to make a circular loop that she can twirl around her body for exercise. He will use a tube that is 2.5 meters long. Estimate the diameter of Taiga's exercise hoop? Round your answer to the nearest thousandth of a meter.
Answer: 0.796 meters
Step-by-step explanation:
Circumference of circle = [tex]2\pi r[/tex] , where r=radius
Here, Circumference of loop = 2.5 meters
i.e. [tex]2\pi r=2.5[/tex]
[tex]\Rightarrow\ r=\dfrac{2.5}{2\pi}[/tex]
[tex]\Rightarrow\ r=\dfrac{2.5}{2\times\dfrac{22}{7}}\\\\\Rightarrow\ r=\dfrac{2.5\times7}{2\times22}\\\\\Righttarrow\ r=0.398\ m[/tex]
Diameter = 2r = 2(0.398) = 0.796 meters
Hence, The diameter of Taiga's exercise hoop = 0.796 meters
Which points are part of this graph of equivalent ratios? Check all that apply. On a coordinate plane, a line goes through (3, 2) and (9, 6). (6, 4) (12, 8) (10, 4) (4, 3) (9, 6)
Answer:
3,2 and 9,6
Step-by-step explanation:
i did it
Answer:
(6,4) (12,8) (9,6)
Step-by-step explanation:
i just took the quiz, i got it right
:)
Imagine you are an architect hired by a newly elected mayor to design a city. What questions might you have for the mayor before you could start planning? How would scale factor and the use of scale drawings come into play with your design? What problems could you run into if your scale factor was to large or small?
Answer:
huh?
Step-by-step explanation:
what is the square root of
8464
29584
15376
10816
21904
44100
I need help plssss.
Answer:
y guy rhufgjrjri
Step-by-step explanation:
hfuitktt
The first line in the system of equations is graphed on the coordinate plane. Graph the second line to find the solution to the system.
2 x minus 3 y = negative 6. y = negative one-third x minus 4
Enjoli’s Graph
On a coordinate plane, a line goes through (negative 3, 0) and (0, 2).
What is the solution to the system of equations?
(–6, –2)
( –2, –6)
(2, –4)
(–4, 2)
Answer:
Step-by-step explanation:
The first line in the system of equations is graphed on the coordinate plane. Graph the second line to find the solution to the system.
2 x minus 3 y = negative 6. y = negative one-third x minus 4
Enjoli’s Graph
On a coordinate plane, a line goes through (negative 3, 0) and (0, 2).
What is the solution to the system of equations?
(–6, –2)
( –2, –6)
(2, –4)
(–4, 2)
Answer:
A
Step-by-step explanation:
find the area of a rectangle flower garden that is 10 meters long and has a width that is half of its length.
show work pls
Answer:
Area is 50 meters squared
Step-by-step explanation:
So you know that length = 10 meters and width is half of the length.
You need to make an equation to solve for width, 'W', using length, 'L'
W = L / 2
Now just plug in length
W = 10 /2 = 5
Since you know length and width now, you can solve for area
Area = W * L
Area = 5 * 10
Area = 50
If 317 + x = 609 then,
x equeals:
A. 317
B. 629
C. 282
D. 392
E. 292
Answer:
E
Step-by-step explanation:
subtract 317 from 609.
Christina picked out a new tennis racket that was price $35 she has saved $40 to cover the text if there's an 8% tax then how much will she pay for the tennis racket and the tax
Please solve the following systems of equations using the elimination method
1. 2x + y =12
-3x + y = 2
2. -2x + 3y = -1
2x + 5y = 25
Jermyn is converting £263 into $. He knows that £1 = €1.14 and €1 = $1.25. How many $ will Jermyn get? Give your answer to 2 dp
Answer:
£263 = €299.82
€299.82 = $374.775
Answer:
374.78
Step-by-step explanation:
Essentially it would be 374.77 but it requires 2 decimal places so you have to round up to 78 and that's the answer hope it helps!
The length of the observable universe is.
880,000,000,000,000,000,000,000 kilometers across.
Imagine you work at NASA and must use this number in
calculations. Why might this befchallenging?
Answer:
Kindly check explanation
Step-by-step explanation:
Organizations like NASA who explore space and planets often have to deal with measurement of very long distances such as the one stated above. The Major challenge with the distance written in the format expressed above is the difficulty to read, state or use in mathematical calculations as it is too explicit. A more effective method is to express this distance in standard format and more suitable long distant units such as miles.
For instance;
880,000,000,000,000,000,000,000 kilometers could be expressed as in standard form as ;
8.8 * 10^23 km
Question 1/14
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Televisions and computer monitors are measured diagonally (a 30 inch screen refers to the diagonal from corner to corner). Fred
recently acquired an entertainment center for his living room and wants to purchase a 55 inch television that he knows is 27 inches
tall. However, his entertainment center can only accommodate a width of up to 45 inches. Will the television that he wants to
purchase fit in his entertainment center?
Α)
A No
B
Yes
Belt as
Answer:
vh ,mnjjhbjvj n
Step-by-step explanation:
A box of cereal states that there are 72 calories in a 3/4 cup serving. What is the unit rate for calories per cup? How many calories are there in 3 cups of the cereal?
Answer: The unit rate for calories per cup = 96 calories
There are 288 calories in cups of the cereal.
Step-by-step explanation:
Given: Calories in [tex]\dfrac34[/tex]of cup = 72
Unit rate of calories per cup = [tex]\dfrac{72}{\dfrac34}=\dfrac{72\times4}{3}[/tex]
= 96
The unit rate for calories per cup = 96
Calories in 3 cups = 3 x (unit rate for calories)
= 3 x (96)
= 288 calories
Hence, there are 288 calories in cups of the cereal.
HELP ME PLEASE BC I ENTIRELY NEED IT!
Melanie buys a carrying case for her new laptop, which costs 125% as much as her old laptop case. The price of her new laptop carrying case is $65. If n represents the cost of her old laptop carrying case, which proportion can be used to find n?
I REALLY NEED HELP PLEASE:)
Answer:
The cost of her old laptop would be $52.
Step-by-step explanation:
[tex] \frac{125\%}{65 \: dollars} = \frac{100\%}{n} [/tex]
The vendor of a coffee cart mixes coffee beans that cost $9 per pound with coffee beans that cost $5 per pound. How many pounds of each should be used to make a 75-pound blend that sells for $6.00 per pound
Answer:
56.25 pound of the coffee that costs $5 per pound is needed
18.75 pound of the coffee that costs $9 per pound is needed
Step-by-step explanation:
Let the number of pounds be x and y respectively
The total pounds is 75;
So;
x + y. = 75 •••••••(i)
Total cost of first type
9 * x = $9x
Total cost of second type;
5 * y= $5y
75 pound at $6 per pound; total cost of this is;
6 * 75 = $450
Thus;
9x + 5y = 450 ••••••••(ii)
From i, x = 75-y
Put this into ii
9(75-y) + 5y = 450
675 -9y + 5y = 450
4y = 675-450
4y = 225
y = 225/4
y = 56.25
x = 75 - y from i
x = 75-56.25
x = $18.75
Julio has 5.75 pounds of dog food. If he feeds his dog 2.83 pounds of dog food next week, how much dog food will he have left
Answer:
He will have 2.92 pounds of dog food left.
Step-by-step explanation: Subtract 2.83 from 5.75 and you will get this answer.. hope this helped:)!!
Answer:
2.92 pounds
Step-by-step explanation:
We are finding out how much we have left, so we're subtracting, so our equation is:
5.75 - 2.83 = 2.92
So, Julio will have 2.92 pounds of dog food left
Which of the following is an even function?
f(x) = x1
Of(x) = x2 - 1
Of(x) = -3x
O Rx) = 3/8
Answer:
[tex]f(x) = x^{2} - 1[/tex]
Step-by-step explanation:
The definition of even function is: [tex]f(x) = f(-x)[/tex]
I am going to assume the second option is [tex]f(x) = x^{2} - 1[/tex] and the answer.
[tex]f(x) = x^{2} - 1\\f(-x) = (-x)^{2} - 1 = x^{2}-1[/tex]
The owner of a small store buys coats for $55.00 each. Answer parts a and b. a. She sells the coats for $99.00 each. What percent of the purchase price is the sale price? b. The owner increases the sale price by the same percent that you found in part a when she buys jackets for $45 and sells them. How many jackets must the owner buy for the total jacket sales to be at least $390? Explain your answer.
Answer:
180% ; 5
Step-by-step explanation:
Purchase price per coat = 55
Sales price per coat = 99
% of purchase price is sales price :
X% * 55 = 99
(x / 100) * 55 = 99
0.01x * 55 = 99
0.55x = 99
x = 99 / 0.55
x = 180
180% of purchase price
B.)
180% * 45 = 81 per jacket
Number of jackets to sell to make atleast $390 in sales
$390 / $81 = 4.8
Hence, 5 jackets
What is the unit rate for 21 3/4 and 2 1/2
Answer:
I think it is 19 1/4
Step-by-step explanation:
How I got this was I took 21 3/4 and subtracted 2 1/2 which gave me 19 1/4.
Hope this is right and helps.
What quadrant is the point (-4,7) in?
Answer:
Quadrant 2
Step-by-step explanation:
Quadrant 1: Positive x and Positive y
Quadrant 2: Negative x and Positive y
Quadrant 3: Negative x and Negative y
Quadrant 4: Positive x and Negative y
For point (-4, 7), we have a Negative x and Positive y so it belongs in Quadrant 2.
Help ASAP
Select all the following that are quadratic equation.
( ) 5x^2+15x=0
( ) 6x-1=4x+7
( )x^2-4x=4x+7
( ) 2x-1=0
( ) 3x^2+5x-7=0
( ) x^3-2x^2+1=0
right answers only please do not waste my time cause 20 points are quite good