Answer: The correct options are (A) 8 and (D) 7.
Step-by-step explanation: We are given to select the correct scale factors that produces an expansion under a dilation of the original image.
The SCALE FACTOR of a dilation is defined as follows:
The dilation will be an expansion is the scale factor is greater than 1 (> 1),
and it will be a reduction if the scale factor is less than 1 (< 1).
Option (A) is
Scale factor = 8.
Since 8 > 1, so the scale factor of the dilation is greater than 1. This implies that the dilation is an expansion.
Option (B) is
Scale factor = 0.7.
Since 0.7 < 1, so the scale factor of the dilation is less than 1. This implies that the dilation is a reduction.
Option (C) is
Scale factor = 0.8.
Since 0.8 < 1, so the scale factor of the dilation is less than 1. This implies that the dilation is a reduction.
Option (D) is
Scale factor = 7.
Since 8 > 1, so the scale factor of the dilation is greater than 1. This implies that the dilation is an expansion.
Thus, the correct options are (A) 8 and (D) 7.
Answer:
Future value, A = $642
Step-by-step explanation:
Given the following data;
Principal = $500
Interest rate = 5% = 5/100 = 0.05
Time, t = 5 years
n = 365
To find the future value, we would use the compound interest formula;
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
Future value, A = $642
Answer:
10:18 10 gal of blue paint and 18 gal of yellow paint.
Step-by-step explanation:
Null: the mean amount of peanut butter in a jar is equal to 32 oz.
alternative: the mean amount of peanut butter in a Jar is less than 32oz.
type 1 error is is rejecting the null when it is actually true. this means that we would say that the mean amount of peanut butter is not equal to 32 when it actually is.
type 2 error is failing to reject the null when it is actually false. this means that we would say the mean amount of peanut butter is equal to 32 when in reality it is less.
