59 blue jays, 68 black crows, 12 red robins, 1 cardinal....total of 140 birds
there were 59 blue jays spotted...
59/140 = x / 300...59 jays to 140 birds = x jays to 300 birds
cross multiply
(140)(x) = (300)(59)
140x = 17700
x = 17700/140
x = 126.42...rounds to 126 blue jays <==
Answer:
2.54 seconds
Step-by-step explanation:
We can use the following equation to model the vertical position of the ball:
S = So + Vo*t + a*t^2/2
Where S is the final position, So is the inicial position, Vo is the inicial speed, a is the acceleration and t is the time.
Then, using S = 2.5, So = 0.4, Vo = 14 and a = -9.8 m/s2, we have that:
2.5 = 0.4 + 14*t - 4.9t^2
4.9t^2 - 14t + 2.1 = 0
Solving this quadratic equation, we have that t1 = 2.6983 s and t2 = 0.1588 s.
Between these times, the ball will be higher than 2.5 m, so the amount of time the ball will be higher than 2.5 m is:
t1 - t2 = 2.6983 - 0.1588 = 2.54 seconds
Answer:
Check attachment for orderliness of question
Step-by-step explanation:
We want to the equation in an exact form
M(x, y) dx + N(x, y) dy = 0.
xy² dy/dx = y³− x³
Cross multiply
Then,
xy²dy=(y³-x³)dx
xy²dy - (y³-x³)dx = 0
xy²dy + (x³-y³)dx=0
Therefore,
(x³-y³)dx + xy²dy=0
Can only be an exact equation if and only if
dM/dy=dN/dx
From the equation
M=(x³-y³)
Then, dM/dy=-3y²
Also, N=xy²
dN/dx=y²
Since dM/dy ≠ dN/dx
Then it is not an examct equation and we can say
M≠(x³-y³)
And
N≠(xy²)
Answer:
7 gallons
Step-by-step explanation:
Step 1:
80 : 5 = 112 : x
Step 2:
80x = 560
Answer:
x = 7
Hope This Helps :)
The cube of 6 is
6³.
We need to solve 6³.
To do that you need to multiply 6 by itself 3 times.
6 × 6 × 6 = 216.
So, 6³ = 216.
Hope I helped ya!!!☺☺☺
