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siniylev [52]
3 years ago
7

The distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. if a 9-kg object st

retches a spring 54cm, find the distance when the weight is 2-kg. round your answer to the nearest whole centimeter.
a. 65 cm
b. 12 cm
c. 0 cm
d. 6 cm

Please select the best answer from the choices provided.
.A
.B
.C
.D
Mathematics
1 answer:
sergiy2304 [10]3 years ago
7 0

Answer:

I think it is b

Step-by-step explanation:

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This would be;
$16.34
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Research scientists need a certain type of bacteria to conduct an experiment. There are 2,500 bacteria in a certain culture. The
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Answer:

  7 days

Step-by-step explanation:

At 25% per day, it will take approximately 3 days to double the population, so approximately 6 days for the population to quadruple. Checking that number, we find it is not quite enough for the experiment, so another day is required.

"Guess and check" as a method of solution works especially well if you have an automated checker to evaluate your guess. A graphing calculator or spreadsheet can work well for this.

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We guess 3 days as the doubling time using the "rule of 72" that says the product of percentage and doubling time is about 72. That is, 72/25 ≈ 3. (This is only a very rough approximation of doubling time, best for rates near 8%.)

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Find the equation of the line that passes through the points (-4,-2) and (-3,5) in both point-slope form and
kaheart [24]
<h2>Answer:</h2>

First, we must determine the slope, then we find the y-intercept using slope formula and slope-intercept form.

<u>For slope:</u>

<u />m = \frac{5 + 2}{-3 + 4} = \frac{7}{1} = 7<u />

Slope (m) = 7

<u>For y-intercept:</u>

<u />5 = 7(-3) + b\\\\5 = -21 + b\\\\26 = b<u />

Y-intercept (b) = 26

Using this information, we can now create the equations for this line.

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Formulas:

Slope formula: <em>y₂ - y₁/x₂ - x₁</em>

Slope-intercept form: <em>y = mx + b</em>

Point-slope form: <em>y - y₁ = m(x - x₁)</em>

<em></em>

*Note: (x₁, y₁), (x₂, y₂) = <em>2 points on the line</em>

6 0
3 years ago
Suppose you just received a job offer with a starting salary of $37,000 per year and a guaranteed raise of $1500 per year. How m
Taya2010 [7]
Based on the given description above, here is how we are going to solve it.
Let n be the number of years. So the equation will be like this.
37000n + 1500n = 1025000
Now let us solve for n.
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n=26.62
Therefore, it will take 26 years and 6 months before you made a total salary of 1,025,000 dollars. Hope that this answer helps.
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