Here are the equations
x+y=48
x/y=5/8
but here's how I would solve it
5+7=12
48=12units
divide by 12 both sides
4=1unit
males=5 unit
4=1unit
times 5
20=5unit=males
females=7unit
4=1unit
times 7
28=7unit=females
Answer: Phelan now have 44.69 US dollars. of the original 250 US dollars.
Step-by-step explanation:
Given, Phelan spent 150 euros on his trip.
1 European euro = 1.3687 US dollars
So, 150 euros = 150 × 1.3687 US dollars
= 205.305 US dollars
≈ 205.31 US dollars [ Rounded to the nearest cent. ]
Initially he had 250 US dollars, now he has left (250-205.31)US dollars that is
44.69 US dollars.
Hence, Phelan now have 44.69 US dollars. of the original 250 US dollars.
Answer: Time t = 33.0 seconds
Step-by-step explanation:
Given that the vertical distance H between the dock and the top of the boat's mast t seconds after its first peak is modeled by the function
H(t) = 5cos( 2π/3 t) − 35.5H
Where the maximum vertical distance = 5
At the down position, H(t) = 0
5cos( 2π/3 t) − (35.5/100)H = 0
5cos( 2π/3 t) − 0.355 × 5 =0
5cos( 2π/3 t) − 0.1775 = 0
5cos( 2π/3 t) = 0.1775
cos( 2π/3 t) = 0.1775/5
cos( 2π/3 t) = 0.355
2π/3 t = cos^-1 (0.355)
2π/3 t = 69.2
2πt = 69.2 × 3
2πt = 207.6
t = 207.6/2π
t = 33.0 seconds
Answer:
4589.75J
Step-by-step explanation:
Kinetic energy = 1/2 x M x v^2
Given
Mass M = 55.0kg
V = 12.92m/s
Kinetic energy
= 1/2 x 55.0 x (12.92)^2
= 1/2 x 55.0 x (12.92 x 12.92)
= 1/2 x 55.0 x 166.9
Multiply through
= 9179.5/2
= 4589.75J
We have to determine which value is equivalent to | f ( i ) | if the function is: f ( x ) = 1 - x. We know that for the complex number: z = a + b i , the absolute value is: | z | = sqrt( a^2 + b^2 ). In this case: | f ( i )| = | 1 - i |. So: a = 1, b = - 1. | f ( i ) | = sqrt ( 1^2 + ( - 1 )^2) = sqrt ( 1 + 1 ) = sqrt ( 2 ). Answer: <span>C. sqrt( 2 )</span>