Which statement best summarizes the central idea of “Applications of Newton’s Laws”? Newton’s laws can explain the forces that o

Answer:

The distance from the point (0,1,1) to the specified line is zero.

Step-by-step explanation:

Considering the parametric equations of the line,

x=2t, y=5-2t, z=1+t

In order to calculate the distance from (0,1,1), we must remove t from the equations above, such that

whose direction ratios are (l,m,n)=(3,2,-2) and the distance from point (a,b,c)=(0,1,1) is defined as

The distance between the point (0,1,1) and (1) amounts to zero. Therefore, the point (0,1,1) is located on the line (1).

Step-by-step answer:

The base of the exponential function is set at 1.29 for a period of 7 days, which is expressed as

f(x) = 86*(1.29)^x

To determine the daily rate, divide the variable x by 7 (keeping x as the number of weeks), resulting in

f(x) = 86*1.29^(x/7)

Applying the exponent rule, b^(x/a) = b^(x*(1/a)) = (b^(1/a))^x

we can simplify by setting b=1.29, a=7 to arrive at

f(x) = 86*(1.29^(1/7))^x

f(x) = 86*(1.037)^x since evaluating 1.29^(1/7) yields approximately 1.037

Rounding 1.037 to 1.04 gives a (VERY) rough estimate function

f(x) = 86 * (1.04^x)

1.04 is only an approximation because 1.04^7 is expected to return 1.29, it actually results in 1.316; meanwhile, 1.037^7 returns 1.2896, which is much closer to 1.29.