Answer:
Cooper needs 39.8 mL milk for his recipe
Step-by-step explanation:
Let B be the quantity of butter
and
m be the quantity of milk
<u>So according to given statement the whole mixture measures 70.4 mL while butter measures 30.6mL</u>
so,
B+m = 70.4
30.6 + m = 70.4
m = 70.4 - 30.6
m = 39.8 mL
Cooper needs 39.8 mL milk for his recipe ..
Choices:
(7, 44)
(8, 48)
(9, 52)
(12, 74)
<span>(13, 78)
r = 6t
(7,44) : r = 6(7) = 42 incorrect
(8,48) : r = 6(8) = 48 CORRECT
(9,52) : r = 6(9) = 54 incorrect
(12,74) : r = 6(12) = 72 incorrect
(13,78) : r = 6(13) = 78 CORRECT
The points that lie on the resulting line are (8,48) and (13,78)</span>
Answer:
Step-by-step explanation:
Given the equation
Sin(5x) = ½
5x = arcSin(½)
5x = 30°
Then,
The general formula for sin is
5θ = n180 + (-1)ⁿθ
Divide through by 5
θ = n•36 + (-1)ⁿ30/5
θ = 36n + (-1)ⁿ6
The range of the solution is
0<θ<2π I.e 0<θ<360
First solution
When n = 0
θ = 36n + (-1)ⁿθ
θ = 0×36 + (-1)^0×6
θ = 6°
When n = 1
θ = 36n + (-1)ⁿ6
θ = 36-6
θ = 30°
When n = 2
θ = 36n + (-1)ⁿ6
θ = 36×2 + 6
θ = 78°
When n =3
θ = 36n + (-1)ⁿ6
θ = 36×3 - 6
θ = 102°
When n=4
θ = 36n + (-1)ⁿ6
θ = 36×4 + 6
θ = 150
When n =5
θ = 36n + (-1)ⁿ6
θ = 36×5 - 6
θ = 174°
When n = 6
θ = 36n+ (-1)ⁿ6
θ = 36×6 + 6
θ = 222°
When n = 7
θ = 36n + (-1)ⁿ6
θ = 36×7 - 6
θ = 246°
When n =8
θ = 36n + (-1)ⁿ6
θ = 36×8 + 6
θ = 294°
When n =9
θ = 36n + (-1)ⁿ6
θ = 36×9 - 6
θ = 318°
When n =10
θ = 36n + (-1)ⁿ6
θ = 36×10 + 6
θ = 366°
When n = 10 is out of range of θ
Then, the solution is from n =0 to n=9
So the equation have 10 solutions in the range 0<θ<2π
631.72 = 33% of Realized Income
<span>631.72 / .33 = Realized Income </span>
<span>1914.30 = Realized Income</span>
Let the number of half dollars be x,
number of quarters = x + 2
amount of half dollars = 0.5x
amount of quarters = 0.25(x + 2)
= 0.25x + 0.5
total amount = 0.5x + 0.25x + 0.5
= 0.75x + 0.5
0.75x + 0.5 = 11.75
0.75x = 11.25
x = 15
number of quarters = x + 2
= 15 + 2
= 17
There are 17 quarters and 15 half dollars.
