Answer:
48:75
Step-by-step explanation:
the 48 is the number of females
Answer:
Step-by-step explanation:
Use midpoint formula to find the coordinates of each midpoint.
(x, y) = (½ (x₁ + x₂), ½(y₁ + y₂))
Coordinates of D:
(x, y) = (½ (4 + 2), ½(6 + -2))
(x, y) = (3, 2)
Coordinates of E:
(x, y) = (½ (4 + -2), ½(6 + -4))
(x, y) = (1, 1)
Slope of DE:
m = Δy / Δx
m = (2 − 1) / (3 − 1)
m = 1/2
Slope of BC:
m = Δy / Δx
m = (-2 − -4) / (2 − -2)
m = 1/2
Therefore, DE is parallel to BC.
Answer:
-2.95
Step-by-step explanation:
Given the functions w=y^3-4x^2y where x=e^s and y=e^t, to get dw/ds, we will use the chain rule for composite functions as shown;
dw/ds = dw/dx*dx/ds + dw/dy*dy/ds
dw/dx = -8xy
dx/ds = e^s
dw/dy = 3y²-4x²
dy/ds = 0 (since there are no s variable in the function)
Substituting the differentials into the formula above;
dw/ds = -8xy(e^s) + 3y²-4x²(0)
dw/ds = -8xy(e^s)
Substituting s = -3 and t = 5 into the resulting function;
dw/ds = -8(e^s)(e^t)(e^s)
dw/ds = -8(e^2s)(e^t)
dw/ds = -8(e^-6)(e^5)
dw/ds = -8*0.00248*148.413
dw/ds = -2.945 ≈ --2.95 (to 2 dp)
Answer:
let jivesh score x runs so rajat scores 3x runs
total runs = 300-8 = 292 runs
so x+3x = 292
4x = 292
x = 292/4
x = 73
so jivesh score 72 runs and rajat scores 216 runs
Step-by-step explanation:
