Valerie drives 400 meters up a hill that makes an angle of 20° with the horizontal. To the nearest tenth of a meter, what horizo
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Given:
Population is 2005 = 35,700
growth rate = 4% = 0.04
To find:
The population in 2030.
Solution:
The general exponential growth model is
where, a is initial value, r is growth rate and t is time in years.
Let the initial year is 2005. So, number of years between 2005 to 2030 is
Putting a=35,700, r=0.04 and t=25 in the above model.
Approximate the value to the nearest whole number.
Therefore, population of the district will be about 95,170.
Greetings!
The equation of a line in slope-intercept form is:
y = mx + b
m is the slope
b is the y- intercept
What we need to do is to re-arrange 2x - 9y - 18 = 0. We wanna make it looks like y = mx + b
So, the equation is:
2x - 9y - 18 = 0
Subtract 2x - 18 from both sides
→ -9y = -2x + 18
Since we want y, we need to divide both sides by -9
Thus,
y = 2/9 x - 2 which is in the slope intercept form
Slope m = 2/9 and the y-intercept is = - 2
Given a line with slope m then the slope of a line perpendicular is:
= - 9/2
Thus,
The equation of the function is:
Let me know if you have questions about the answer. As always, it is my pleasure to help students like you!
The equation of a line in slope-intercept form is:
y = mx + b
m is the slope
b is the y- intercept
What we need to do is to re-arrange 2x - 9y - 18 = 0. We wanna make it looks like y = mx + b
So, the equation is:
2x - 9y - 18 = 0
Subtract 2x - 18 from both sides
→ -9y = -2x + 18
Since we want y, we need to divide both sides by -9
Thus,
y = 2/9 x - 2 which is in the slope intercept form
Slope m = 2/9 and the y-intercept is = - 2
Given a line with slope m then the slope of a line perpendicular is:
Thus,
The equation of the function is:
Let me know if you have questions about the answer. As always, it is my pleasure to help students like you!
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The formula tells you the diameter is 2 times the radius. Pick some values for radius and multiply them by 2 to get the diameter. The graph will be a straight line through the origin with a slope of 2.
(Strictly speaking, the graph should not extend to negative values, as negative values for radius and diameter make no sense in the real world.)
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We did not put unit labels (cm, feet, yards, km, light-years, etc.) on the graph axes. For a slope of 2, the graph needs the same units on both axes. They can be whatever units of distance you might choose.
