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olga_2 [115]
3 years ago
6

Modern medical advances might mean people could live 200 years. In 2009 the life expectancy is about 80 years. Assume that due t

o modern advances life expectancy gains 5.1 years every decade. From 2009 in how many years would humanity achieve a life expectancy of 130 years?
Mathematics
1 answer:
bezimeni [28]3 years ago
5 0

Answer:

Answer: In year 2107 life expectancy will be 130 years

Step-by-step explanation:

First we understand which are the things given in the question.

In every decade life expectancy gains over 5.1 years.

Current life expectancy is about 80 years.

We have to calculate in how many decades life expectancy will increase from 80 years to 130 years which means increase of 50 years.

So from unitary method we can do the calculations.

∵ 5.1 years of life expectancy increases = in one decade

∴ 1 year of life expectancy will increase in = \frac{1}{5.1} decades

∴ 50 years of life expectancy will increase in =\frac{1}{5.1}×50 decades

                                                               =\frac{50}{5.1} = 9.8 decades

                                                              or 9.8×10 years = 98 years

Therefore 130 years life expectancy will be in in year 2009+98 years =2107

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marysya [2.9K]

Answer:

y= -1.5x-7 is the equation of the perpendicular line

Here's why:

when we convert 2x-3y=8 to standard form, we get y= 2/3x-8/3. This means the perpendicular line will have a slope of the negative reciprocal of the original one, so the perpendicular slope is -1.5. When we substitute the points (-2,-4) into the equation y=-1.5x+b, we get a b value of -7. So the perpendicular line equation is y= -1.5x-7. You can't the parallel line equation with the points (-2,-4) as it is part of the line 2x-3y=8.

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Answer:

The first answer.

Step-by-step explanation:

The first answer.

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'was 2C warmer than the surface of the ice'

warmer than= +2c

Temp. of ice=-2c

-2c+2c=0

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An object is thrown from a platform. Its height (in meters), x seconds after launch, is modeled by h (x) = -5 (x + 1) (x -9)
777dan777 [17]

Answer:

Step-by-step explanation:

This is already factored for us, which is really nice, so now all we need to do is apply the Zero Product Property to the sets of parenthesis and solve for x, which will give us the 2 times that the object is on the ground.

x + 1 = 0 so

x = -1

x - 9 = 0 so

x = 9

We all know that time cannot ever be negative, so the time that the object is on the ground is 9 seconds after it's launched (which was from an initial height of 45 meters).

8 0
3 years ago
(a) Derive an equation of the line passing through the points A(0, 545) and B(4, 726). (Let t be the independent variable and y
a_sh-v [17]

Answer:

The equation of the line is y=45.25t+545

Step-by-step explanation:

The general for of a line is:

y=mt+n       (1)

where:

m is the slope of the line and m is the intercept with the axis of the dependent variable, y in this case.

In order to obtain the value of the slope (m) we can use the corresponding slope formula:

m=\frac{y_{2}-y_1 }{t_2-t_1}         (2)

where t_1, t_2, y_1 and y_2 are the corresponding coordinates of the given points. In this case:

t_1=0\\t_2=4\\y_1=545\\y_2=726\\

Substituting these values in equation (2) we obtain:

m=\frac{726-545}{4-0}=\frac{181}{4}=45.25\\m=45.25

Hence, the line equation is now:

y=45.25t+n     (3)

Now to obtain the value of n you can follow two options:

  1. You can substitute one of your points, A or B, in equation (3). In this way, you will obtain an equation where the variable is n

Note that for this question, it is easier to select point A because of having the independent variable equals to zero t=0. Hence, substituting point A in equation (3):

45.25*0+n=545\\n=545

Therefore, the line equation is: y=45.25t+545

The second option to find n is to think of the meaning of the <em>intercept</em>. The <em>intercept </em>of a line is defined as the point in which the line crosses the axis of the dependent variable, which also means that the value of the independent variable for this point is zero. From this, we could have automatically said that n is equal to 545.

See the attachment for a plot of the line.

7 0
3 years ago
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