Answer:
x=32
Step-by-step explanation:
5/8-3/8=2/8x =1/4
1/4x+4=12
12-4=8
1/4x=8
8/ 1/4 =32
x=32
With reduction of order, we assume a solution of the form

, with

. Then


and substituting into the ODE gives



Let

, so that

. This gives the linear ODE

This equation is also separable, so you can write

Integrating both sides with respect to

gives


Next, solve

for

by integrating both sides again with respect to

.



And finally, solve for

.

and note that

is already taken into account as part of

, so this is the general solution to the ODE.
Answer:
25 % acid solution = 450ml
45% acid solution = 150ml
Step-by-step explanation:
Let
x = 25 % acid solution
y = 45% acid solution
x + y = 600
.25x + .45y = .30(600)
x + y = 600 (1)
.25x + .45y = 180 (2)
From (1)
x = 600 - y
Substitute x = 600 - y into (2)
.25x + .45y = 180
.25(600 - y) + .45y = 180
150 - .25y + .45y = 180
150 + .20y = 180
.20y = 180 - 150
.20y = 30
Divide both sides by .20
y = 30/0.20
= 150
y = 150ml
Substitute y = 150 into
x + y = 600
x + 150 = 600
x = 600 - 150
= 450
x = 450ml
25 % acid solution = 450ml
45% acid solution = 150ml
Answer:
246.979 ft
Step-by-step explanation:
When we draw our picture, we should be able to see that the angle of depression from the point of view is equal to the angle of elevation from the ground. We also know the height, and we are trying to find horizontal <em>x</em>. We must use tan∅ to solve:
tan39° = 200/x
xtan39° = 200
x = 200/tan39°
x = 246.979
Answer:
Step-by-step explanation:
D×5= 95
19 years old