In 2009, the life expectancy is about 80 years. Assume that, due to modern advances, life expectancy gains 5.5 years every decade. From 2009, in how many years would humanity achieve a life expectancy of 110 years?

Answers

Answer 1
Answer:

Answer:

60 years

Step-by-step explanation:

2009 -> 80 years

             +5.5

2019 ->  85.5 years

             +5.5

2029  -> 91 years

              +5.5

2039  -> 96.5 years

             +5.5

2049  -> 102 years

              +5.5

2059  -> 107.5 years

              +5.5

2069  -> 113 years


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Factor completely x2 − 10x + 25.(x − 5)(x − 5)

(x + 5)(x + 5)

(x + 5)(x − 5)

(x − 25)(x − 1)

Answers

The answer is:
(x - 5) (x - 5)   The equation is a perfect square. 
(a - b) (a - b)   The "formula" goes a^2 - 2ab + b^2 for this equation so when you expand out the brackets x to x, x to 5 then 5 to x and 5 to 5 ( a x a, a x b, b x a, b x b) then collect all the like terms it turns into the equation above. 
I hope that made some sense ^ ^" and it helped in some way. 

Answer:

(x − 5)(x − 5)

Step-by-step explanation:

Took test.

 

Want a more in-depth explanation? Try visiting the Math Nation site.

The ratio of the radii of two circles is 3:7. What is the ratio of their circumferences? A. 1:1 B. 3:7 C. 3:14π D. 6π:7 E. 9:49

Answers

Hey there!!

The ratio radius is given as 3:7

... Let's take the first circle's radius as 3 and the radius of the second's circle as 7.

The formula for the circumference as 2π(radius)

The circumference of the first circle as 2π(3)

... 6π

The circumference of the second circle as 2π(7)

... 14π

Ratio = 6π:14π

... 3:7

Hence, the answer would be option (B)

Hope my answer helps!

Final answer:

The ratio of the circumferences of two circles is the same as the ratio of their radii. In this case, where the ratio of the radii is 3:7, the ratio of their circumferences will also be 3:7.

Explanation:

The ratio of the circumferences of two circles is equal to the ratio of their radii assuming all measurements are in the same units. This relationship is due to the formula for the circumference of a circle, C=2πr, where C is the circumference and r is the radius. Seeing this formula, we can ascertain that if we increase the radius, we increase the circumference by the same factor. Therefore, if the ratio of the radii of two circles is 3:7, the ratio of their circumferences will thereon also be 3:7.

Learn more about Circumference ratio here:

brainly.com/question/35438080

#SPJ3

Anita does the same number of jumping jacks each day over a period of several days. On the fifth day, she has completed a total of 325 jumping jacks. By the eighth day, she has completed a total of 520. What value equals the slope of the line of the total number of jumping jacks when graphed against the day?

Answers

65 is the answer. m = slope = delta y / delta x
delta y = 520 - 325
delta x = 8 - 5

Be well.

What is the x-coordinate of the point in the standard (x,y) coordinate plane at which the 2 lines y = 2x + 6 and y = 3x + 4 intersect?Can you please explain with some details?

Answers

Answer:

The x-coordinate of the point in the standard (x,y) coordinate plane at which the 2 lines y = 2x + 6 and y = 3x + 4 intersect is:

                            x=2

Step-by-step explanation:

The point of intersection of the two lines is the point where the y-value of the two lines are equal.

Now, in order to find the x-coordinate of the point of intersection we equate the equation of two lines in terms of x and by some operation we obtain the value of x.

Here the equation of two lines are:

y = 2x + 6 and y = 3x + 4

Now, on equating the y-value we have:

  2x+6=3x+4

Now,

3x-2x=6-4

i.e.

x=2

Also, on putting the value of x in any of the two equation of lines we have:

y=10

Hence, the point of intersection is: (2,10)

You have to solve equation system:
\left \{ {{y=2x+6}|*(-1) \atop {y=3x+4}} \right. \n \left \{ {{-y=-2x-6} \atop {y=3x+4}} \right. \n 0=x-2\n x=2

Or you can also graph it. Look at enclose.
To graph it you have to draw two lines choosing two points for each one.
For example:
y=2x+6
so if x=0 y = 6
if x = 1 y = 8
You connect this points and you have y=2x+6 line. You do this the same with the second line. 

48 pounds are equal to approximately _______ kg. A. 50
B. 96
C. 200
D. 22

Answers

Answer:

The answer would be D. 22

Step-by-step explanation:

There are around 0.453592 Kilograms per pound. Multiply 0.453592 × 48.

Your answer would be 21.772416 would would round up to approximately 22 Kilograms.

Answer:

C. 200 This is right ttyl.



Assign two variables for each problem, and write the equations. Do not solve.In the Alice High School band, the number of trumpet players is 4 times the number of French horn players. There are 35 trumpet and French horn players in the band. How many people play the trumpet?

Answers

Call the number of trumpet players "T" and the number of horn players "H".

We can use the given information to set up equations:

1."the number of trumpet players is 4 times the number of French horn players"
T=4H

2. "
There are 35 trumpet and French horn players in the band."
T+H=35

If you were asked to solve you could now do it by substitution:
4H+H=35
5H=35
H=7
T=4H
T=4(7)
T=28