Answer:
About 3
Step-by-step explanation:
Since all real life objects have three dimensions, if you increase the dimensions of an object by a certain factor, the object's volume is greater by the factor cubed.
1500*x^3=45000
x^3=30
x is about 3
Hope this helps!
AnsweTo see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportional ratios.r:
Step-by-step explanation:
Answer:
Step-by-step explanation:
4s + 2j = 68........2j = -4s + 68........j = -2s + 34
3s + 3j = 81
3s + 3(-2s + 34) = 81
3s - 6s + 102 = 81
3s - 6s = 81 - 102
-3s = - 21
s = -21/-3
s = 7 <==== shirts cost 7 bucks
j = -2s + 34
j = -2(7) + 34
j = -14 + 34
j = 20 <===== jeans cost 20 bucks
Volume of a cone is equal to pi*r^2*(h/3)
3.14*5^2*2/3 = 52.36 cubic cm.
Density = mass/volume
6 grams/ 52.36 cm^3= 0.1146
Round to 2 decimal places to get D.0.11 g/cm^3
Answer:
q = -8, k = 2.
r = -6.
Step-by-step explanation:
f(x) = (x - p)^2 + q
This is the vertex form of a quadratic where the vertex is at the point (p, q).
Now the x intercepts are at -6 and 2 and the curve is symmetrical about the line x = p.
The value of p is the midpoint of -6 and 2 which is (-6+2) / 2 = -2.
So we have:
f(x) = 1/2(x - -2)^2 + q
f(x) = 1/2(x + 2)^2 + q
Now the graph passes through the point (2, 0) , where it intersects the x axis, therefore, substituting x = 2 and f(x) = 0:
0 = 1/2(2 + 2)^2 + q
0 = 1/2*16 + q
0 = 8 + q
q = -8.
Now convert this to standard form to find k:
f(x) = 1/2(x + 2)^2 - 8
f(x) = 1/2(x^2 + 4x + 4) - 8
f(x) = 1/2x^2 + 2x + 2 - 8
f(x) = 1/2x^2 + 2x - 6
So k = 2.
The r is the y coordinate when x = 0.
so r = 1/2(0+2)^2 - 8
= -6.
