Let f be amount of 43% and s be amount of 16%...
s+f=90, f=90-s
(.16s+.43f)/90=.25 using f found above we get:
(.16s+.43(90-s))/90=.25
.16s+38.7-.43s=22.5
-.27s=-16.2
s=60, and since f=90-s, f=30
So the chemist will need to mix 60ml of 16% solution with 30ml of 43% solution to create 90ml of a 25% solution.
Answer:
I think 235.5 mm cubed
Step-by-step explanation:
The formula for the volume of a cone is V=1/3hπr².
1/3 x 9 x π x 5² =
1/3 x 9π x 25 =
1/3 x 225π =
75π
let's say π=3.14
75 x 3.14 = 235.5
Answer:
y = (5/6)x - 7
is with
y = - (6/5)x + 1
y = - (5/6)x - 8
is with
y = (6/5)x - 5
y = - (7/4)x - 1
is with
y = (4/7)x + 9
y = (7/4)x - 2
is with
y = - (4/7)x + 2
Step-by-step explanation:
You can double check by dividing -1 by the number before x. The answer from that calculation will be the number before the x of the perpendicular line's equation
Answer:
a) k
= 3.6 N/m ; b) 9.43 * 10¹²; c) 1.18 * 10¹¹; d) 75.08 N/m
Step-by-step explanation:
Length of iron bar = L = 2.7m;
side length of cross section = a = 0.07cm = 0.0007m;
x = 2.7 cm = 0.027m;
m = 100kg;
ρ = 7.87gm/cm³;
da = 2.28 * 10⁻¹⁰m;
a)
Fnet = F - mg
where Fnet = 0
So,
F = mg where F=kx
k = mg/x = 100*9.8/0.027
k = 3.6 N/m
b)
Nchain = Aw/Aa =a²/(da)²
= (o.ooo7)²/(2.28 * 10⁻¹⁰)²
= 9.43 * 10¹²
c)
Nbond = L/da = 2.7/2.28 * 10⁻¹⁰
= 1.18 * 10¹¹
d)
Spring stiffness of wire = ksi = (Nbondk)/Nchain
= [(1.18* 10¹¹)(6*10⁴)]/(9.43 * 10¹²)
= 75.08 N/m
Answer:
x = -3
Step-by-step explanation:
12 -4x-5x = 39
Combine like terms
12 - 9x = 39
Subtract 12 from each side
12-9x-12 = 39-12
-9x = 27
Divide by -9
-9x/-9 = 27/-9
x = -3
