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Margaret [11]
3 years ago
10

The distance y (in centimeters) a spring is compressed by a force x (in kilograms) is given by

Mathematics
1 answer:
kirza4 [7]3 years ago
6 0

Answer:

(x, y) = {(20, 1.3), (40, 2.6), (60, 3.9), (80, 5.2), (100, 6.5)}

Graph C represents the table of values

Step-by-step explanation:

To complete the table, substitute each value of x into the equation, y = 0.065x, to find each corresponding y-value.

Thus:

✔️When x = 20:

y = 0.065x

y = 0.065(20)

y = 1.3

✔️When x = 40:

y = 0.065x

y = 0.065(40)

y = 2.6

✔️When x = 60:

y = 0.065x

y = 0.065(60)

y = 3.9

✔️When x = 80:

y = 0.065x

y = 0.065(80)

y = 5.2

✔️When x = 100:

y = 0.065x

y = 0.065(100)

y = 6.5

✔️<em>The graph of that represents this table of values is graph C. See attachment.</em>

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Determine the equation of the line. (slope intercept form)
Taya2010 [7]

Answer:

y=x-4

Step-by-step explanation:

y=mx+b

m : slope : 1

b : y-int : -4

5 0
2 years ago
Find the value of A if the 4-digit number 3A5A is divisible by both 3 and 5.
Arturiano [62]

Answer:

The value of A is 5

Step-by-step explanation:

- The number is divisible by 3 if the sum of its digits is a number

  divisible by 3

- Ex: 126 is divisible by 3 because the sum of its digits = 1 + 2 + 3 = 6

  and 6 is divisible by 3

- The number is divisible by 5 if its ones digit is zero or 5

- Ex: 675 is divisible by 5 because its ones digit is 5

        890 is divisible by 5 because its ones digit is 0

- We are looking for the value of A in the 4-digit number 3A5A which

  makes the number divisible by both 3 and 5

∵ A is in the ones position

∴ A must be zero or 5

- Let us try A = 0

∵ A = 0

∴ The number is 3050

∵ The sum of the digits of the number = 3 + 0 + 5 + 0 = 8

∵ 8 is not divisible by 3

∴ 3050 is not divisible by both 3 and 5

∴ A can not be zero

- Let us try A = 5

∵ A = 5

∴ The number is 3555

∵ The sum of the digits of the number = 3 + 5 + 5 + 5 = 18

∵ 18 is divisible by 3

∴ 3555 is divisible by both 3 and 5

∴ A must be equal 5

* <em>The value of A is 5</em>

5 0
3 years ago
Solve for θ. <br>sin(74) = cos(θ) <br><br>1. 6° <br>2. 74° <br>3. 36° <br>4. 16° ​
Marianna [84]

Sin74 = Cos16

cause 16 + 74 = 90

Whenever the sum of two angles is equal with 90, the Sin of one is equal with the Cos of the other like :

Sin(30) = Cos(60)

and also

Tan(30) = Cot(60)

5 0
3 years ago
Read 2 more answers
You don’t have to do the graph if u don’t want to
Anuta_ua [19.1K]

Answer:

x>5

Step-by-step explanation:

30 < 6x

Divide both sides by 6,

5 < x => x>5

6 0
3 years ago
Soni rent Anju a sum of Rs 40,000 at the rate of 2 paisa per 2 rupees per
galben [10]

Answer:

RS 14400

Step-by-step explanation:

Given the following :

Principal sum = RS 40000

Rate = 2 paisa per 2 rupee per month

Interest at the end of 3 years

1 rupee = 100 paisa

2 Paisa per 2 rupee per month :

2/200 per month = 1 / 100 per month,

Hence rate = 0.01 = 1% monthly

Annual rate = 1% × 12 = 12 % = 0.12

Simple interest :

Principal × rate × time

40000 × 0.12 × 3

40000 × 0.36

= RS 14,400

3 0
3 years ago
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