Answer:
7 + 8i
Step-by-step explanation:
Conjugate of 7 - 8i is 7 + 8i
Ft (full time)= $2,400/ monthpt (part time)= $200/ week15% taken from taxes------------------------- 1 year= 12 months; 1 month= 4 weeks (12*2,400) + (4*12*200)= $38,400 you made in a year I set up the problem this way because you want to know how much you made that whole year, so if there are 12 months in a year, and you get paid $2,400 a month, then from your full time job you ear (12*2,400). From your PT job you make $200 a week, there are 4 weeks in a month and 12 months in a year, so to calculate what you earned from your PT job, you do: 4*12*200 15% of what you made is deducted from taxes:0.15(38,400)= $5,760 After taxes, you made:$38,400-$5760= $32,640
Answer:
A) f'(t) is negative
B) degc/min
c ) At 20 minutes after the coffee was put on the counter its temperature is 56degc and will decrease by about 1.125 in the next 45 seconds
Step-by-step explanation:
A ) f'(t) is Negative because as the cup of coffee is placed on the counter there is loss of heat from the cup of coffee to the surrounding as t increases hence f'(t) is negative
B ) The units of f'(20) = degc/min
C) At ║f'(20)║ = 1.5 and f'(20) = 56
║f'(20)║ = 1.5 represents the rate of change of temp every 20 minutes = 1.5
therefore after 45 seconds = 3/4 mins. change in temp = (3/4 * 1.5) = 1.125
At 20 minutes after the coffee was put on the counter its temperature is 56degc and will decrease by about 1.125 in the next 45 seconds
Answer:

Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to

where
m is the slope
b is the y-intercept
<em>Find the slope</em>
The formula to calculate the slope between two points is equal to

take the points
(0,2.5) and (100,97.5)
substitute in the formula



Find the y-intercept b
we have


substitute i the linear equation 

solve for b

Note It was not necessary to calculate the value of b because the value is given in the table
Remember that the y-intercept is the value of y when the value of x is equal to zero (the y-intercept is the point (0,2.5))
The linear equation is

Answer:
Part A
Which student correctly models the problem 1.25 + 0.4. Type your answer in the box.
Sophia
Part B
What is the correct answer for 1.25 + 0.4?
1.65