Answer: 30.48
Step-by-step explanation:
Sum the series of 30.48 + (1/2)(30.48)+ (1/4)(30.48)+(1/8)(30.48)+(1/16)(30.48)+(1/32)(30.48)
Or use an Excel spreadsheet
Answer:
Pears: 30
Step-by-step explanation:
Constant:
3x + 5x + 2x = 150
10x = 150
x = 15
Multiply ratio with constant from above:
oranges : apples
3 * 15 : 5 * 15
45 : 75 ==> 45 oranges: 75 apples
pears : apples
2 * 15 : 5 * 15
30 : 75 ==> 30 pears: 75 apples
Check:
45 oranges + 75 apples + 30 pears = 150 fruits
Answer:
Step-by-step explanation:
The average value theorem sets:
if f (x) is continuous in [a, b] and derivable in (a, b) there is a c Є (a, b) such that
, where
f(a)=f(π/2)=-4*sin(π/2) = -4*1= -4
f(b)=(3π/2)=-4*sin(3π/2) = -4*-1 = 4


⇒

c≅130
Answer:
The cost will be the same after 1 month
Step-by-step explanation:
Step 1: set up the equation
club A= 28x+24 club B= 35x+17
club A=club B: 28x+24=35x+17
Step 2: Get rid of the smallest X
28x+24=35x+17
-28 -28
24=7x+17
Step 3: Get rid of the constant next to the variable to isolate the variable
24=7x+17
-17 -17
7=7x
Step 4: Inverse operation to remove variable
7÷7x=7x÷7x
1=1
I hope this helped, im not too good at explaining but im positive the solution is correct.
Answer:
192 points
Step-by-step explanation:
he earned 120 points for passing 6 levels and getting 20 points per level
he earned 72 points for racing 45 laps and getting 24 points per every 15 laps