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Oksi-84 [34.3K]
3 years ago
9

Identify the constant of proportionality from the graph. A. 1/3 B. 9 C. 3 D. 6​

Mathematics
1 answer:
Andrej [43]3 years ago
5 0

Answer:

C. 3

Step-by-step explanation:

The constant of proportionality is the slope (or rate of change) of the graph.

To find the equation of the graph;

Take points (1,3) and (3,9)

The slope (m) = change in y ÷ change in x

m = \frac{9 - 3}{3 - 1} = \frac{6}{2} = 3

Taking another point (x,y) on the graph;

m = \frac{y - 3}{x - 1} = 3

y - 3 = 3x - 3

y = 3x + 0

y = 3x

This can be expressed as;

y ∝ 3x

Which means that as y rises, x rises too but 3 remains the same. The value 3 is the constant of proportionality in this relationship.

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How many 3-digit numerical passwords are there if a digit cannot be repeated?
alexgriva [62]
The first digit of the password can be any of the ten digits - 10 possibilities.
A digit cannot be repeated, so the second digit can be any digit except the one you chose for the first digit - 9 possibilities.
The third digit can be any digit except the digits you chose for the first and second digit - 8 possibilities.

Using the rule of product:
10 \times 9 \times 8=720

There are 720 passwords.
5 0
3 years ago
Jackie is reading a 252 page novel for her summer reading project. On Monday she reads 4/8 of the novel. On Tuesday she reads 28
natima [27]

So far, Jackie has read 217 pages

In order to determine the total number of pages Jackie read, we would have to determine the number of pages she read each day and add these pages together

  • Number of pages she read on Monday = \frac{4}{8} x 252 = 126 pages
  • Number of pages she read on Tuesday = 28 pages
  • Number of pages she read on Wednesday = \frac{1}{4} x 252 = 63 pages

The total number of pages she has read so far = 126 + 28 + 63 = 217 pages

A similar question was solved here: brainly.com/question/24708342?referrer=searchResults

5 0
3 years ago
How would you solve <br> y - 4 = 3
slega [8]

Answer:

Y = 7

Step-by-step explanation:

You would add 4 to both sides to cancel out the -4. That leaves y by itself equaling 7.

3 0
4 years ago
Read 2 more answers
A set of pulleys is used to lift a piano with a mass of 102 kg. The piano is lifted 3 meters in 1 minutes. How much power is use
agasfer [191]

Answer:

50.031 watts

Step-by-step explanation:

Formula

Power = Force * distance / time

The units are critical

distance = meters

time = seconds

force = newtons = kg * m / s^2

Solution

F = m * a

a = 9.81

m = 102 kg

F = 102 * 9.81 = 1000.62 Newtons

T =  minute = 60 sec/min * 1 min

T = 60 seconds

d = 3 meters

Power = 1000.62 * 3 / 60

Power = 50.031

3 0
3 years ago
Can someone answer these questions ? thank you
Naya [18.7K]

Answer:

Step-by-step explanation:

12a)To rationalize the denominator, multiply the denominator and numerator by √5.

\frac{15}{\sqrt{5}}=\frac{15*\sqrt{5}}{\sqrt{5}*\sqrt{5}}\\\\=\frac{15\sqrt{5}}{5}\\\\=3\sqrt{5}

b) (a+b)² = a² + 2ab + b²

(1 +√3)² = 1² + 2*1*√3 + (√3)²

= 1 + 2√3 + 3

= 4 + 2√3

a = 4 ; b =2

13) (a + b)(a - b) = a² - b²

\frac{(6-\sqrt{5})(6+\sqrt{5})}{\sqrt{31}}=\frac{6^{2}-(\sqrt{5})^{2}}{\sqrt{31}}\\\\ =\frac{36-5}{\sqrt{31}}\\\\=\frac{31}{\sqrt{31}}\\\\=\frac{31*\sqrt{31}}{\sqrt{31}*\sqrt{31}}\\\\=\frac{31\sqrt{31}}{31}\\\\=\sqrt{31}

5 0
4 years ago
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