Answer:
a) 30 inches × 30 inches × 30 inches
b) 27,000 inches³
c) 14,130 inches³
d) 12,870 inches³
Step-by-step explanation:
Edge of the cube = diameter = 30 inches
Volume of cube = s³
30³ = 27000 inches³
Radius = 30/2 = 15
Volume of sphere:
(4/3) × 3.15 × 15³
14130 inches³
Difference:
27000 - 14130
12870 inches³
Answer:
x≥−3
Step-by-step explanation:
−4x−10≤2
Step 1: Add 10 to both sides.
−4x−10+10≤2+10
−4x≤12
Step 2: Divide both sides by -4.
−4x−4≤12
−4
x≥−3
Answer:




The absolute difference is:

If we find the % of change respect the before case we have this:

So then is a big change.
Step-by-step explanation:
The subindex B is for the before case and the subindex A is for the after case
Before case (with 500)
For this case we have the following dataset:
500 200 250 275 300
We can calculate the mean with the following formula:

And the sample deviation with the following formula:

After case (With -500 instead of 500)
For this case we have the following dataset:
-500 200 250 275 300
We can calculate the mean with the following formula:

And the sample deviation with the following formula:

And as we can see we have a significant change between the two values for the two cases.
The absolute difference is:

If we find the % of change respect the before case we have this:

So then is a big change.
Line y=mx+b has point (0,b).
If you've got poind (0,4) - you can write, that b=4.
So this is line y=mx+4
Now slope. You've got point (1,0), so for x=1, y=0. Substitute:
m * 1 + 4 = 0
m+4 = 0
m=-4
So equation of this line is: y=-4x+4
Answer:
£10,737,418.24
Step-by-step explanation:
<u>Every day amount doubles:</u>
- March 1st = 1p= 2^0 p
- March 2nd = 2*1p = 2^1 p
- March 3rd = 2*2p = 2^2 p
- ...
- March 31st = 2^30 p = 1,073,741,824 p = £10,737,418. 24