wilbur landed his plane causing it to descend at a rate of 0.2 kilometers per minute he reaches the grounded after 15 minutes. g

The accurate statements are 0.75 (x,y) = (0.75x, 0.75y), LM is parallel to L'M', and "the vertices of the image are nearer to the origin relative to the pre-image".

Explanation:

It is stated that the triangle ABC underwent dilation as per the rule DO,0.75 (x,y)

DO, 0.75(x,y) signifies the dilation rule, where both x and y values are scaled by 0.75, indicating that the dilation, centered around the origin, has a scale factor of 0.75. The representation for this dilation would be,

Consequently, the first statement holds true.

Since both x and y coordinates are scaled down by 0.75, the sides of the image are parallel, but shorter, with a scale of 0.75 compared to the pre-image’s sides.

Thus, the second statement "LM is parallel to L'M'" is also accurate, while the third and fifth statements are incorrect.

The scale factor of 0.75, being less than 1, suggests that the vertices of the image are closer to the origin compared to those of the pre-image.

Hence, the fourth statement "The vertices of the image are nearer to the origin compared to the pre-image" is indeed correct.

You will achieve this in 15 days. Both 5 and 3 have a least common multiple of 15.

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.

a) This represents a geometric sequence. b) c) The salary at the beginning of the fifth year will be $46,945.21. To clarify, my starting salary is $37,185. Should I receive a 6% raise each year, the salary for the following year will be: $37,185 x 1.06 = $39,416.10. Consequently, the salary after the second year will be: $39,416.10 x 1.06 = $41,781.07. Hence, the salary sequence will look like: $37,185, $39,416.10, $41,781.07, and so forth, demonstrating a consistent ratio of r = 1.06 for each term.

An airplane flying at a speed of 950 kilometers per hour would take 0.0010526 hours to travel 1.00 kilometer.