Answer:
the volume of the sphere will be 4 times the volume of the cone;
Step-by-step explanation:
<u>The question is on volume comparison</u>
Volume of a sphere=4/3 ×r³
Volume of a cone= /3×r²h
where r is the radius and h is the height
<u>Apply the condition</u>
If r=h=1 unit
Then volume of sphere will be= 4/3 × ×1³ = 4/3
And volume of the cone will be= /3 ×1²×1 =/3
We can see the volume of the sphere will be 4 times the volume of the cone;
4/3 = 4×/3
Answer:
B
Step-by-step explanation:
a is a cubic. A cubic is an equation that has 3 on its base x to become x^3 as it's highest power. That is not a quadratic. A cubic and a quadratic are not the same thing.
b is a quadratic The highest power is 2 on the base (x) to become x^2. That is how a quadratic is defined.
c is a reciprocal. It has its highest power in the denominator, and that is not a quadratic. A quadratic is an equation whose highest power is 2 on its base (x) and whose highest power is in the numerator, not the denominator. This choice is rather tricky because the quadratic formula can be used on it if you change x = 1/z. Then the equation becomes f(x) = 4z^2 - 2z + 1. But as it is given and likely as you have been told, this is not a quadratic. This will factor into (2z - 1)(2z - 1). If I were a student, I'd question this one. It would be interesting to see how your instructor would eliminate it.
d is just a linear function. Since x^2 is multiplied by 0, it disappears. What is left is f(x) = -9x + 7 which is a linear function.
probably it's 8 or 4. and as $8 is the initial fee, that sounds like the starting value. :-)
the line equation you need is the slope intercept form y = mx + b where m = gradient and b = y intercept.
in this case, y = 4x + 8 where x = number of movies seen, and y = total cost in $
for this line m = 4 and b = 8. hence, indeed, the y intercept is 8
Mark as brainlist
Answer:
a) 90 cubic foot
b) 90 cubic foot = 667.62 gallons
c) $3.3381
Step-by-step explanation:
a)
volume of rectangular hot tub
= 6*5*3
= 90 cubic foot
b)
1 cubic foot = 7.418 gallons
90 * 1 cubic foot = 90 * 7.418 gallons
90 cubic foot = 667.62 gallons
c)
$5 = 1000 gallons
($5 / 1000) = (1000 / 1000) gallons
.005 * 667.62 = 1 * 667.62 gallons
$3.3381 = 667.62 gallons