Hi there!
Since 1000 grams = 1 kg, then 0.02 kg = 20 g. They are equal.
Hope this helps!
You haven't shared all of the question, so I'll guess that you want to find "how fast is the area of the sphere increasing?"
Area of a sphere = 4*pi*r^2
Rate of change of area of a sphere with respect to radius r:
dA/dr = 8*pi*r*(dr/dt)
Here, that would come out to
dA/dr = 8*pi*r*(2 inches / sec)
If you meant, "how fast is the volume of the sphere increasing?" you'd need to use a different equation:
V = (4/3)*pi)*r^3
and go through a similar process.
Answer:
Step-by-step explanation:
We have the inequality:
First, we can factor out a 5 from our absolute value. This yields:
Simplify:
Add 14 to both sides:
Divide both sides by 2:
Definition of Absolute Value:
Solve each case individually:
Case 1:
Subtract 2 from both sides:
Case 2:
Divide both sides by -1. Flip the sign:
Subtract 2 from both sides:
So, our answers are:
Since our inequality is a <em>greater than</em>, we will have an "or" inequality.
So, our answer is all values left to the first solution and all values to the right of the second solution:
And we're done!
Answer:
Lines c and b, f and d (option b)
Step-by-step explanation:
To prove whether the lines satisfy the condition of being a transversal to another, let's prove one of the conditions wrong, and thus the answer -
Option 1:
Here lines a and b do not correspond to one another provided they are both transversals, thus don't act as transversals to one another, they simply intersect at a given point.
Option 2:
All conditions are met, lines c and b correspond with one another such that b is a transversal to both c and d. Lines f and d correspond with one another such that f is a transversal to both d and c.
Option 3:
Lines c and d are both not transversals, thus clearly don't act as transversals to one another.
Option 4:
Lines c and d are both not transversals, thus clearly don't act as transversals to one another.
Shifted up 8 and right 7
answer
B. second option
