2400 miles in .........4 hours
X miles in .................1 hour
X = 2400 multiply 1 divided 4
X = 600 miles per one hour
Answer:
4 x^(3/2) + 5x -32
Step-by-step explanation:
This problem involves definite integration (anti-derivatives).
If dy/dx = 6x^(1/2) - 5, then dy = 6x^(1/2)dx - 5dx.
(1/2) + 1
This integrates to y = 6x
----------------
(1/2) + 1 x^(3/2)
= 6 ------------ + C
3/2
or: 4 x^(3/2) + C
and the ∫5dx term integrates to 5x + C.
The overall integral is:
4 x^(3/2) + C + 5x + C. better expressed with just one C:
4 x^(3/2) + 5x + C
We are told that the curve represented by this function goes thru (4, 20).
This means that when x = 4, y = 20, and this info enables us to find the value of the constant of integration C:
20 = 4 · 4^(3/2) + 5·4 + C, or:
20 = 4 (8) + 20 + C
Then 0 = 32 + C, and so C = -32.
The equation of the curve is thus 4 x^(3/2) + 5x -32
(1/2 + 1)
Answer:.3 .3 .3 .3 .3 *.3 = .0007
Step-by-step explanation:
Answer:
x=4 x=-1
Step-by-step explanation:
x^2-3x-4=0
x^2-4x+x-4=0
x(x-4) + 1(x-4)=0
x+1=0
x=-1
x-4=0
x=4
Answer:
AAS
Step-by-step explanation:
The first A:
∠ABC ≅ ∠DCB
The S:
CB ≅ BC
The second A:
∠A ≅ ∠D
All of them combined to prove ΔABC ≅ ΔDCB through ASA.