Determine the constant of variation for the direct variation given.
(0,0) ,(3,12),(9,36)​

Answers

Answer 1

Answer:

[tex]r = 4[/tex]

Step-by-step explanation:

Given: Direct Variation

(0,0) ,(3,12),(9,36)​

Required

Constant of Variation

Provided that the given data is a direct variation, the constant variation is represented by r.

r is calculated as thus;

[tex]y = rx[/tex]

Divide both sides by x

[tex]r = \frac{y}{x}[/tex]

Point (0,0) is the center of origin and cannot be used

When x = 3, y = 12

and

[tex]r = \frac{12}{3}[/tex]

[tex]r = 4[/tex]

When x = 3, y = 12

and

[tex]r = \frac{36}{9}[/tex]

[tex]r = 4[/tex]

Notice that the value of r remain constant in both cases; Hence, the constant of variation is; [tex]r = 4[/tex]


Related Questions

2 root 2 minus root 2 is equal to​

Answers

Answer:6

Step-by-step explanation:

Answer:

Here is the answer mate.....

Step-by-step explanation:

2 root 2 minus root 2 is equal to 0.

If you have question why then follow these steps....

2-2

√0

anything root o means 0..

so, the answer is zero...

Hope it helps ☺️

If a patient needs a 30-day supply of tablets four times a day, how many tablets will the patient need for discharge?

Answers

This question is incomplete

Complete Question

If a patient needs a 30-day supply of tablets and takes two tablets four times a day, how many tablets will the patient need for discharge?

Answer:

240 tablets

Step-by-step explanation:

From the question we are told the patient needs a 30 days supply of drugs.

This means the patient will be discharged after 30 days

We are told the patient takes 2 tablets , four times a day

This means

One day = 2 tablets × 4 = 8 tablets

Hence, if:

1 day = 8 tablets

30 days = unknown so we represent by Y

We cross multiply

1 × Y = 8tablets × 30days

Y = 240 tablets

Therefore, the patient would need 240 tablets for discharge.

Which is an equation of the line with slope –3 and passes through (2, –1)?

Question 8 options:

a)

3x + y = 5


b)

–3x + y = 5


c)

y = –3(x + 5)


d)

y = 5x – 3

Answers

Equation c
y = -3(x+5)

1. At a leather shop, 50 leather jackets were sold in February. The shop keeper at the store wants to encourage the sales team to sell more leather jackets by giving all the sales team members a bonus if the number of leather jackets sold increases by 30% in March. How many leather jackets must the sales team sell in March to receive the bonus?

Answers

Answer:

65 shirts.

Step-by-step explanation:

50 is the amount of shirts sold in February.

30% increase=1.3

1.3(50)

65

They need to sell 65 shirts in March to get the bonus.

Remove the parentheses and simplify the expression.
2(2y-5)-8

Answers

Answer:

4y-18

Step-by-step explanation:

2(2y)+2(-5)-8

4y-10-8

4y-18

Hope this helps!

Answer:

2x2y - 2x5 -8

4y - 10 -8

4y -18

Convert -3(x+2)^2-10 into standard form.

Please help me

Answers

Answer:

Step-by-step explanation:

Please answer this ASAP!!

Answers

Answer: The cost to buy all the paint he needs = [tex]\pounds \ 176.70\ .[/tex]

Step-by-step explanation:

Formula: Area of trapezium = [tex]\dfrac{1}{2}(a+b)h[/tex], where a and b are the parallel sides and h is the height.

From the given figure of trapezium, we have

a = 10 m

b = 16 m

h = 7.6 m

Then, area of trapezium floor = [tex]\dfrac{1}{2}(10+16)(7.6)=\dfrac{1}{2}(26)(7.6)=98.8\ m^2[/tex]

Also, 1 litre paint is required to paint and area of [tex]1.9\ m^2[/tex].

Then, the amount of paint required to paint [tex]98.8\ m^2[/tex] area = [tex](98.8\ m^2)\div(1.9\ m^2)[/tex]

[tex]= 52[/tex] litres

Since cost if 5 litres of paint = [tex]\pounds\ 16.99[/tex]

then cost of 1 liter paint = [tex]\pounds \dfrac{16.99}{ 5}=\pounds 3.398[/tex]

Then, cost of 52 litres of paint = [tex]52\times3.398=\pounds \ 176.696\approx\pounds\ 176.70[/tex]

Hence, the cost to buy all the paint he needs = [tex]\pounds \ 176.70\ .[/tex]

what is the y-intercept, maximum point and the x intercepts of f(x)= -x^2÷1 +4​

Answers

Answer:

maximum point: (0, 4)

x-intercepts: (2, 0), (-2, 0)

y-intercepts: (0, 4)

The second group of trainee astronauts are all sitting around the table, waiting to start their first day of training.

From the clues given below, can work out where everyone sits?

Note: Seat 1 is next to Seat 2 and Seat 8, etc. Seat 5 is across from Seat 1, and Seat 7 is across from Seat 3, etc. Seat 2 is a higher seat number that Seat 1, etc.
Puzzle Table

1. Harvey has a higher seat number than Jennie.
2. Peter is across from Harvey.
3. Neither Joyce nor Lia is in seat 8.
4. Rick is across from Kenny, and Rick is also next to Joyce.
5. Lia is next to Kenny.
6. Jennie is at Seat 4 and next to Harvey.
7. Peter is next to Lia.
8. Mark has the remaining seat.

Answers

Answer:

Seat 1: PeterSeat 2: LiaSeat 3: KennySeat 4: JennieSeat 5: HarveySeat 6: JoyceSeat 7: RickSeat 8: Mark

Step-by-step explanation:

From Rule 6: Jennie is at Seat 4 and next to Harvey; and by rule 1 (Harvey has a higher seat number than Jennie)

Seat 4: JennieSeat 5: Harvey

From Rule 2:  Peter is across from Harvey.

Since Seat 5 is across from Seat 1

Seat 1: Peter

From Rule 7: Peter is next to Lia.

Therefore, Lia can either be in Seat 2 or Seat 8, but by Rule 3 (Neither Joyce nor Lia is in seat 8), therefore, Lia is in Seat 2.

Seat 2: Lia

By Rule 5: Lia is next to Kenny, therefore:

Seat 3: Kenny

From Rule 4: Rick is across from Kenny, and Rick is also next to Joyce.

Seat 7 is across from Seat 3, therefore:

Seat 7: Rick

Since Rick is also next to Joyce (and by Rule 3, Joyce cannot be on Seat 8)

Seat 6: Joyce

Therefore, we have:

Seat 1: Peter

Seat 2: Lia

Seat 3: Kenny

Seat 4: Jennie

Seat 5: Harvey

Seat 6: Joyce

Seat 7: Rick

Since Mark has the remaining seat, Mark is on Seat 8.

At the start of the week, Crystal’s bank account had a balance of $280. Each day from Monday to Friday, she used her debit card to pay $5 for parking. She wrote a check for $42, and made two deposits of $75 each. She also withdrew $200 in cash at an ATM. What was Crystal’s balance at the end of the week?
Evaluate the expression below to solve the problem.

280 + 5(–5) + (–42) + 2(75) + (–200)
answer down here
$

Answers

Answer:

$163

Step-by-step explanation:

Happily, they've given us the equation already.

280 + 5(–5) + (–42) + 2(75) + (–200)

280 - 25 - 42 + 150 - 200

Keep in mind your negative signs!

280 - 67 + 150 - 200

280 - 67 - 50

213 - 50

= $163

This can all be done on the calculator, but it can also be done mentally or written out, as I've done.

Answer:

Crystal had a balance of $163 at the end of the week

Step-by-step explanation:

hope this helped pls give brainliest!

someone plz help me!!!!!!!!!

Answers

Answer:

2 1/4

Step-by-step explanation:

=−514+712

Rewriting our equation with parts separated

=−5−14+7+12

Solving the whole number parts

−5+7=2

Solving the fraction parts

−14+12=?

Find the LCD of 1/4 and 1/2 and rewrite to solve with the equivalent fractions.

LCD = 4

−14+24=14

Combining the whole and fraction parts

2+14=214

Help!!
Cindy dissolves 19 1 /4 grams of drink mix in 1 3 /4 ounces of water. What is the unit rate in grams of drink mix per ounce of water?

Answers

Answer:

11 grams of drink mix per ounce of water

Step-by-step explanation:

I converted both numbers to decimals to get 19.25 and 1.75, then divided the amount of drink mix by the amount of water.

Answer:

11 gm mix : 1 ounce water

Step-by-step explanation:

We find 1/7 of 19.75gm  = 2.75

Then we multiply by 4 = 11

We have found our ounce rate to be 11 gm : 1 ounce water

A roof has the shape of an isosceles triangle with equal sides 8 cm long and base 12 m long. What is the measure of the angle of inclination of the roof to the nearest degree?

Answers

Answer:

41 degrees to the nearest degree.

Step-by-step explanation:

A line drawn from the vertex and bisecting the base forms 2 right triangles.

The base of one right triangle = 1/2 * 12 = 6 m.

So cos A = adjacent side /hypotenuse   where A is the angle of inclination.

cos A=  6 / 8 = 0.75

m < A = 41.41 degrees.

Need help Asap plz and thank you!
Given m

Answers

What do you need help on sir
I would need more information

25 POINTS!!!!Which of the following statements are true? Select all that apply.

A + B = B + A
C - D = D - C
B + 0 = B
E - C = E + (-C)
|A| = |E|

Answers

Answer:

A+B=B+A

B+0=B

E-C=E+(-C)

Step-by-step explanation:

Answer:

A) A+B = B+A

C) B+0= B

D) E-C= E+(-C)

Step-by-step explanation:

Jesse is in a lab examining sizes of skin cells. Cell A has a diameter of 5.8 × 10 ^-9 mm. Cell B has a diameter of 4.2 × 10 ^-7 mm.

How much longer is the diamter of Cell B than Cell A?

A. 1.6 x 10 ^-2

B. 1.6 x 10 ^-16

C. 4.14 x 10 ^-7

D. 4.14 x 10 ^-9

Answers

Answer:

The diameter of Cell B is [tex]4.14 \times 10^{-7} mm[/tex] longer than Cell A

Step-by-step explanation:

Diameter of Cell A = [tex]5.8 \times 10^{-9} mm[/tex]

Diameter of Cell B = [tex]4.2 \times 10^{-7} mm[/tex]

Now we are supposed to find How much longer is the diameter of Cell B than Cell A?

So,Diameter of Cell A =[tex]5.8 \times 10^{-9} = 5.8 \times 10^{-7} \times 10^{-2}=5.8 \times 10^{-7} \times \frac{1}{10^2} = 0.058 \times 10^{-7}[/tex]

Diameter of Cell B = [tex]4.2 \times 10^{-7} mm[/tex]

So, Difference in diameters = [tex]4.2 \times 10^{-7} - (0.058 \times 10^{-7})=4.14 \times 10^{-7}[/tex]

So, Option C is true

Hence the diameter of Cell B is [tex]4.14 \times 10^{-7} mm[/tex] longer than Cell A


What is 1/7
as a decimal?
Give your answer rounded to 2
decimal places.

Answers

1/7 as a decimal is 0.1428571429

But if you round that to the nearest 2 decimal place it is 0.14

I really hope this helps.

A baker prepares a cake mix that weighs 120 pounds. The cake mix
consists of shortening and other ingredients. The weights of the other ingredients are, 20 1/2 pounds of flour, 29 3/4 pounds of sugar, 18 1/8 pounds of milk, 16 pounds of whole eggs, and a total of 5 1/4 pounds of flavoring, salt, and baking powder. How many pounds of shortening are used in this cake mix?

Answers

Answer:

30 3/8 pounds of shortening used.

Step-by-step explanation:

20 1/2 + 29 3/4 +18 1/8 + 16 + 5 1/4 = 89.625

120- 89.625 = 30.375 pounds

0.375 as a fraction = 3/8 + 30

Therefore the total shortening used = 30 3/8 pounds

How many pounds of shortening are used in this cake mix is maximum figure as we found exact 0.375

We can do this by multiplying the 0.375 x 2 = 0.750  = 3/4

Then counteracting 4 = 1 to 8 = 1 and keeping the top fraction.

1/2 of 3/4 = 3/8

3/8 x 2 = 0.75

0.75 /2 = 0.375

Which shows the fractions in order from least to greatest A.5/9 B.3/4 C.2/3 D.3/5

Answers

Answer:

A, D, C, B.

5/9, 3/5, 2/3, 3/4.

Step-by-step explanation:

Covert to decimals:

5/9 = 0.555...

3/4 = 0.75

2/3 = 0.666...

3/5 = 0.6

So it is  5/9, 3/5, 2/3, 3/4.

What is the answer? To this question

Answers

Answer:

x = 5

Step-by-step explanation:

In a parallelogram, the diagonals bisect each other.

Therefore,

4x - 5 = 3x

4x  = 3x + 5

4x - 3x = 5

x = 5

Pls it’s urgent my homework is due tomorrow PLS HELP

Answers

Answer:

i) x= -0.25, x=1.25

ii)x=1.5, x= -0.5     (notice the negative signs)

Step-by-step explanation:

So, to simply solve this(or estimate), notice what the equations say at the end of them!

0 and 2, and also notice the equations are exactly the same as the graph's.

This means, by substitution, we are look for the x-values at y=0, and at y=2

(because they are exactly the same, in those instances, we can just replace the equation with the value of 0, or 2 because they are equal)

Then all we have to do is imagine the lines of y=0(x-axis) and y=2, and find where the parabola intersects those lines.

And so, just find where they intersect, and you have got it!

Hope this helps!

Can someone please help me ASAP

Answers

Answer:

A) 144 FT B) 300

Step-by-step explanation:

{ Area= L x W

 Area= 12 x 12

 Area= 144 }

{ 6x2=12

12x25= $300

Can anyone help me out please

Answers

Answer:

5/23

Step-by-step explanation:

if you turn "3 8/5" into a mixed number you would get 23/5 then you would flip the numbers to get 5/23

Hope this helps!!! :)

Find the surface area.

Answers

Answer:

A≈896.81

Step-by-step explanation:

This is an approximate answer. Use the formula SA = pi, radius, slant height + pi, radius squared. Plug it in in PEMDAS order.

P.S. SOmeone please tell me if this is wrong I will fix it. Thanks!

896.81 is the answer

The rise is the
change in a line. The run is the
change in a line.
horizontal
vertical

Answers

Answer:

Horizontal

Step-by-step explanation:

Answer:

1- vertical

2-horizontal

Step-by-step explanation:

Read the defitions! Hope this helped!


Please help with the question (it is the image lol) thanks!

Answers

Answer:

Volume of the liquid left in the container will be 80 ml.

Step-by-step explanation:

Two containers A and B having equal volumes of the liquid has been shown in the figure attached.

Let the volume of the liquid in each container = x ml

120 ml of the liquid was poured in container B from container A.

Volume of liquid in container B = 4 × Volume of the liquid in container A

x + 120 = 4(x - 120)

x + 120 = 4x - 480

4x - x = 480 + 120

3x = 600

x = 200 ml

Volume of the liquid left in container A = 200 - 120

                                                                    = 80 ml

Therefore, volume of the liquid left in the container A will be 80 ml.

What is the difference between the median number of electoral votes per state and the modal number (mode) of electoral votes?

State | Number of Electoral Votes
=================================
California | 55
Florida | 27
Illinois | 21
Kentucky | 8
Missouri | 11
Nevada | 5
North Carolina | 15
Texas | 34
Utah | 5
======================
A. 50
B. 10
C. 16
D. 11

Answers

Answer:

B. 10

Step-by-step explanation:

The median is the middle number, so to find it, we must list the numbers from smallest to largest :

5, 5, 8, 11, 15, 21, 27, 34, 55

The median is 15

The mode is what number occurs most often, which is 5.

The difference will be found by subtracting 5 from 15:

15-5=10

Answer:

10

Step-by-step explanation: you have to find the median number and subtract by 5

5,5,8,11,15,21,27,5

also the median is middle number subtract by 5 because it want the difference number of electoral votes per state

15-5=10

If the acute angle made by two intersecting lines l and m is 51° and image ABCD is reflected across the line l followed by a reflection across line m, then find the angle through which ABCD is rotated. Question 10 options: A) 25.5° B) 102° C) 26° D) 51°

Answers

Answer:

B) 102°

Step-by-step explanation:

Reflection is an example of transformation in which a given image is flipped over a reference line which changes the orientation of the figure, but not its length and shape. A rotational transformation is formed by two reflections.

In the given question, image ABCD is reflected over lines I, then m at an angle of 51° to each other. Since rotation is twice the acute angle with respect to the center of rotation, therefore ABCD rotates through an angle of 102°.

Find the center, vertices, and foci of the ellipse with equation 3x2 + 7y2 = 21.

Answers

Answer:

Center [tex]= (0,0)[/tex]

Vertices  [tex]=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]

Foci [tex]=(-2,0)\text{ and }(2,0)[/tex].

Step-by-step explanation:

The standard form of an ellipse is

[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex]    ...(1)

where, a>b, (0,0) is center, (±a,0) are vertices and (±c,0) are foci.

[tex]c=\sqrt{a^2-b^2}[/tex]

The given equation of ellipse is

[tex]3x^2+7y^2=21[/tex]

Divide both sides by 21.

[tex]\dfrac{3x^2+7y^2}{21}=\dfrac{21}{21}[/tex]

[tex]\dfrac{x^2}{7}+\dfrac{y^2}{3}=1[/tex]    ...(2)

On comparing (1) and (2), we get

[tex]a^2=7,b^2=3[/tex]

[tex]a=\sqrt{7},b=\sqrt{3}[/tex]

Now,

[tex]c=\sqrt{a^2-b^2}=\sqrt{7-3}=\sqrt{4}=2[/tex]

Therefore,

Center [tex]= (0,0)[/tex]

Vertices [tex]=(\pm a,0)=(\pm \sqrt{7},0}=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]

Foci [tex]=(\pm c, 0)=(\pm 2,0)=(-2,0)\text{ and }(2,0)[/tex].


Use the triangle below, set up and solve an equation in order to find the
value of x. (Type the number only).

Answers

Answer:

27.4

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

x+ 34.6+118 = 180

Combine like terms

x+152.6 = 180

Subtract 152.6 from each side

x +152.6-152.6 = 180-152.6

x =27.4

_________________________________

Solution,

x+118+34.6=180°( sum of angle in traingle)

or,x+152.6=180

or,X=180-152.6

X=27.4

The value of X is 27.4 °

hope it helps

Good luck on your assignment

_________________________________

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