Answer:
34,466 children
Step-by-step explanation:
Given the following :
Total number of males born in year 2000= 2,086,814
Percentage number of Jacob's born in year 2000 = 1.6516%
The Jacobs make up 1.6516% of all males born that year?.
The number of Jacob's born in year 2000 will be :
1.6516% of the total number of children born in the year 2000
(1.6516 / 100) × 2,086,814
0.016516 × 2,086,814
= 34465.820024
= about 34,466 children
Unit rate = total buttons/ total controllers
Unit rate = 26/2 = 13
Unit rate: 13 buttons per controller
Answer: $40000
Step-by-step explanation:
200000(0.2) = $40000
Answer: the rate at which the distance between the boats is increasing is 68 mph
Step-by-step explanation:
The direction of movement of both boats forms a right angle triangle. The distance travelled due south and due east by both boats represents the legs of the triangle. Their distance apart after t hours represents the hypotenuse of the right angle triangle.
Let x represent the length the shorter leg(south) of the right angle triangle.
Let y represent the length the longer leg(east) of the right angle triangle.
Let z represent the hypotenuse.
Applying Pythagoras theorem
Hypotenuse² = opposite side² + adjacent side²
Therefore
z² = x² + y²
To determine the rate at which the distances are changing, we would differentiate with respect to t. It becomes
2zdz/dt = 2xdx/dt + 2ydy/dt- - - -- - -1
One travels south at 32 mi/h and the other travels east at 60 mi/h. It means that
dx/dt = 32
dy/dt = 60
Distance = speed × time
Since t = 0.5 hour, then
x = 32 × 0.5 = 16 miles
y = 60 × 0.5 = 30 miles
z² = 16² + 30² = 256 + 900
z = √1156
z = 34 miles
Substituting these values into equation 1, it becomes
2 × 34 × dz/dt = (2 × 16 × 32) + 2 × 30 × 60
68dz/dt = 1024 + 3600
68dz/dt = 4624
dz/dt = 4624/68
dz/dt = 68 mph
Answer:
y=-2x+b
Step-by-step explanation:
Just use the formula y=ax+b, and input -2 as A, and 3, as x, and 2, as y, and then simplify.
