Answer:
P = (3, 3 2/7)
Step-by-step explanation:
The desired point P is the weighted average of the end point values. The weights are the numbers in the ratio of segment lengths. The smallest weight is used for the end point closest to the largest division.
P = (5N +2M)/(5+2) = (5(7, 7) +2(-7, -6))/7 = (35-14, 35-12)/7
. P = (21, 23)/7
P = (3, 3 2/7)
_____
The x-distance from M to N is 7-(-7) = 14 units. The x-distance from P to M must be 5/(5+2) = 5/7 of that, so is (5/7)14 = 10 units. So, the x-coordinate of P is ...
Mx +10 = Px
-7 +10 = 3 . . . . x-coordinate of P
The corresponding y-coordinate can be found from a graph or by a similar calculation.
My +5/7(Ny -My) = Py
Py = -6 +(5/7)(7-(-6)) = -6 +65/7 = -6 +9 2/7 = 3 2/7 . . . . y-coordinate of P
Answer: Scientific Notation is the expression of a number n in the form a∗10b. where a is an integer such that 1≤|a|<10. and b is an integer too. Multiplication: To multiply numbers in scientific notation, multiply the decimal numbers. Then add the exponents of the powers of 10.
Step-by-step explanation:
Answer:
0.5%/year
24.2%
Step-by-step explanation:
Estimate the average yearly increase in the percentage of first-year college females claiming no religious affiliation
Percentage of females by year:
1980 = 6.2%
1990 = 10.8%
2000 = 13.6%
2012 = 21.7%
Average yearly increase :
Percentage increase between 1980 - 2012 :
2012% - 1980% = ( 21.7% - 6.2%) = 15.5% increase over [(2012 - 1980)] = 32 years
15.5 % / 32 years = 0.484375% / year = 0.5%/year
b. Estimate the percentage of first-year college females who will claim no religious affiliation in 2030,
Given an average increase of 0.484375% / year
(2030 - 1980) = 50 years
Hence by 2030 ; ( 50 years × 0.484375%/year) = 24.218% will claim no religious affiliation.
=24.2% (nearest tenth)
Step-by-step explanation:
you should give points to x and find y
and then you will have some points of x and y