What is the constant of proportionality?

Answers

Answer 1

Answer:

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.

Step-by-step explanation:

Here it is.

Answer 2

Answer:

Constant of proportionality = 4

Related Questions

On a given morning the temperature was 71°F. The temperature dropped 5°F and then rose 8°F. How much does the temperature need to rise or fall to return to the initial temperature of 71°F?A) Fall 8°F B) Fall 3°F C) Rise 8°F D) Rise 5°F
Add. Write your answer in simplest form. 5 1/5+ 4 3/5=___
Y = - 7/6x + 1 Use the slope-intercept form to find the slope and y-intercept.
Please help, thank you!
For which pairs of functions is (f circle g) (x)?f (x) = x squared and g (x) = StartFraction 1 Over x EndFraction f (x) = StartFraction 2 Over x EndFraction and g (x) = StartFraction 2 Over x EndFractionf (x) = StartFraction x minus 2 Over 3 EndFraction and g (x) = 2 minus 3 xf (x) = one-half x minus 2 and g (x) = one-half x + 2

Put the equation y=x²−14x+40 into the form y=(x-h)²+k y= ____

Answers

Answer:

y = (x - 7)² - 9

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

(h, k ) are the coordinates of the vertex and a is a multiplier

given

y = x² - 14x + 40

to obtain vertex form use the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² - 14x

y = x² + 2(- 7)x + 49 - 49 + 40

= (x - 7)² - 49 + 40

= (x - 7)² - 9 ← in vertex form

‼️Please help‼️
Find the value of x and RT if RS=24 cm

Answers

RS = RT + TS = 24 cm

Let's plug our values into the equation above

24cm = 6x - 4 + 10cm

Combine like terms

24 cm = 6x + 6 cm

Subtract 6 cm from both sides

18 cm = 6x

Divide both sides by 6

3 = x

Plug 3 into the expression for RT

RT = 6(3) - 4 = 18 - 4 = 14 cm

Similarly, we know that TS = 10 cm and RS = 24 cm

24 cm - 10 cm = 14 cm

RT = 14 cm

14 cm = 6x - 4

Add 4 to both sides

18 cm = 6x

Divide both sides by 6

3 = x

Two boys and three girls are auditioning to play the piano for a school production. Two students will be chosen, one as the pianist, the other as the alternate. What is the probability that the pianist will be a boy and the alternate will be a girl? Express your answer as a percent.

Answers

The answer is 0.24

To calculate this, a multiplication rule is used. The multiplication rule calculates the probability that both of two events will occur. In this method, the probabilities of each event are multiplied. Here we have two events:

1. The probability that the pianist will be a boy,

2. The probability that the alternate will be a girl.

So, let's calculate these probabilities:

There are in total 5 children:

2 boys + 3 girls = 5 children.

1. The probability that the pianist will be a boy is 2 boys out of 5 children, which is 2/5.

2. The probability that the alternate will be a girl is 3 girls out of 5 children, which is 3/5.

The probability that the pianist will be a boy and the alternate will be a girl is:

2/5 × 3/5 = 6/25

6/25 × 4/4 = 24/100 = 0.24

the answer is 30 percent

Look at this info about a pair of numbers, k and n.k < n
And k(squared) > n(squared)
Give and example of what the numbers could be. k = ? And n = ?
Please answer clearly so I can understand!

Answers

$k=-2,n=1\nk=-8,n=5\n k=-(1)/(4),n=(1)/(7)$

both the numbers should be negative and k should be less than n.
any pair satisfies above condition is a solution.

Reason: Take any two +ve numbers a,b with a>b then a²>b².
inequality sign(> or < ) get reversed only if the number are -ve.

0.0259 in scientific notation

Answers

The number in exponential notation for the product of plural consisting only of Unity (Cyfra at the construction site of Unity 1.9 ) and decimal parts and plural 10 raised to do the appropriate Powers .
0,02 59
<----|
* 100 = 10²

0,0259 = 2,59* 10⁻²
........................................
5,5820
5,5820*10⁰

........................................
0,009 73
<------|
*1000 = 10³

0,00973 = 9,73*10⁻³
.........................................
8 56
|------>
: 100 = 10²
856 = 8,56 *10²
.........................................
0,0007 2
<-------|
* 10 000 = 10⁴

7,2 * 10⁻⁴
....................................
0,001 216
<------|
* 1000 = 10³
1,216 * 10⁻³

If the areas of two similar hexagons are to each other as 5 : 2, and one side of the first hexagon is 25, what is the corresponding side in the other hexagon?

Answers

The area of a hexagon is given by (3sqrt(3) / 2) x a^2 where a is the side of the hexagon. Given that the ratio of the area of two similar hexagons is 5 : 2. This means that the ratio of the square of the sides is 5 : 2. Let the corresponding side in the other hexagon be x, then: 25^2 : x^2 = 5 : 2 625 / x^2 = 5 / 2 x^2 = (625 x 2) / 5 = 250 x = sqrt(250) = 15.8 Therefore, the corresponding side in the other hexagon is approximately 15.8

i’d have to say 15.81

Other Questions

A stadium has 55,000 seats. Seats sell for $28 in Section A, $16 in Section B, and $12 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,158,000 from each sold-out event. How many seats does each section hold?

Find the surface area of the prism

Look at the following equation: 0.049 > [] Which number should go in the box to make the equation true? (1 point) a 0.410 b 0.094 c 0.040 d 0.910

Simplify the number using the imaginary unit i:(square root) -28 options: a. 2(square root) -7 b. -2(square root) -7 c. i(square root) 28 d. 2i(square root) 28