Alexandra keeps a record of her fixed and total expenses each month. last month, she spent a little more than usual on variable expenses.
fixed expenses: $1,832.76
total expenses: $4,295.82
which equation represents alexandria’s variable expenses for last month?
a.
v = $4,295.82 − $1,832.76
b.
v = $1,832.76 − $4,295.82
c.
v = $1,832.76 + $4,295.82
d.
v = $2,463.06 + $1,832.76
e.
v = $4,295.82 − $2,463.06

Which of the expressions (on the photo document i inserted) together represent all solutions to the following equation? 8cos(12x)+4=-4 *the answer should be in degrees.* > i would like for someone to explain the process to find the solutions for this.

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).

Given ab and cb are tangents of p, and m =10°. what is the measure of abp?