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elena-14-01-66 [18.8K]
3 years ago
10

Help me out pleaseeee

Mathematics
1 answer:
Alex787 [66]3 years ago
4 0

Answer:

i cant see that well. please take a clear photo ;-;

Step-by-step explanation:

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Find the slope given the points (3 2) and (4 7)
r-ruslan [8.4K]

Answer:

5

Step-by-step explanation:

slope = (y₂ - y₁) / (x₂ - x₁)

         = (7 - 2) / (4 - 3)

         = 5 / 1

         = 5

7 0
2 years ago
The data in the table represents the volume of helium, in cubic feet, inside a balloon relative to the elapsed time in minutes.
Mila [183]

The volume of helium inside the balloon decreased at a rate of 0.1 cubic feet per minute. The linear equation that represents the given data is y = -0.1x + 6 and its slope m = -0.1.

<h3>What is the equation of a line passing through two points?</h3>

The equation of the line passing through the points (x1, y1) and (x2, y2) is

(y - y1) = m(x - x1).

Where m is the slope of the line and is calculated by

m = (y2 - y1)/(x2 - x1)

<h3>Calculation:</h3>

The given data in the table represents the volume of helium (cu ft), inside a balloon relative to the elapsed time in minutes.

x: 5, 10, 15, 20, 25, 30, 35, 40

y: 5.5, 5, 4.5, 4, 3.5, 3, 2.5, 2

From this table, consider two points (5, 5.5) and (10, 5)

So, the equation of the line is

y- y1 = m(x - x1)

Where slope m = (y2 - y1)/(x2 - x1)

⇒ m = (5 - 5.5)/(10 - 5)

⇒ m = -0.5/5

∴ m = -0.1

Thus, the equation is

y - 5.5 = -0.1(x - 5)

⇒ y - 5.5 = -0.1x + 0.5

⇒ y = -0.1x + 0.5 + 5.5

⇒ y = -0.1x + 6.0

∴ y = -0.1x + 6

Since the slope of the line is negative, the volume of the helium inside the balloon decreased at a rate of 0.1 cubic ft per minute.

So, option 2 is correct.

Learn more about the slope of a line here:

brainly.com/question/3493733

#SPJ1

3 0
1 year ago
Suppose that the mean and standard deviation of the scores in a Statistics exam are 75 and 9.5 respectively. What minimum score
lyudmila [28]

The mean and standard deviation of the scores are 75 and 9.5 respectively.

The z-score is a means to find the probability of getting a particular score. This is calculated to be:

z=\frac{x-\mu}{\sigma}

where x is the score, μ is the mean, and σ is the standard deviation.

To be a part of the top 2.5 percent, the probability is:

P=\frac{2.5}{100}=0.025

The z-score for this probability, that is, P

8 0
1 year ago
What is the y-intercept of the line passing through the point (9-7) and has a slope of -1/8
Lina20 [59]
Y - y1 = m(x - x1)
y + 7 = (-1/8)(x - 9)
y + 7 = (-1/8)x + 1.125
Subtract 7 from both sides
y = -1/8x - 5.875
4 0
2 years ago
The jones family and the Connor family both bought the same boxed package of sugar cubes at the store, in which the cubes were a
ivann1987 [24]

The number of sugar cubes in the box is 180

<h3>How to determine the number of sugar cubes?</h3>

The given parameters are:

  • Layers = 5
  • Pieces = 2 or 3
  • Cups of tea = 61 and 88

Multiply 61 and 88 by 2 and 3

61 * 2 = 122

61 * 3 = 183

88 * 2 = 176

88 * 3 = 264

The number of sugar cubes cannot be 122 and 264, because they are out of the range

So, we have:

183 and 176

There are 5 layers.

This means that the number of sugar cubes is divisible by 5.

The only number between 176 and 183 that is divisible by 5 is 180

Hence, the number of sugar cubes is 180

Read more about sequence at:

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6 0
2 years ago
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