Answer:
d=10u
Q(5/3,5/3,-19/3)
Step-by-step explanation:
The shortest distance between the plane and Po is also the distance between Po and Q. To find that distance and the point Q you need the perpendicular line x to the plane that intersects Po, this line will have the direction of the normal of the plane 
, then r will have the next parametric equations:
To find Q, the intersection between r and the plane T, substitute the parametric equations of r in T
Substitute the value of 
in the parametric equations:
Those values are the coordinates of Q
Q(5/3,5/3,-19/3)
The distance from Po to the plane
The answer would be 10 it is cheaper you must divide here is my work
<span>You divide unit per price = 10/$6.75 = $1.48
12/$7.25 = $1.65
Which means 10 units are cheaper</span>
What pool? Any of these answers work when we don’t know what pool...
My answer isn't in your choices so it's probably wrong, but hopefully my approach can give you hints.
The vowels are AEAI
The vowels can be arranged in 4*3*2=24 ways.
The non vowels are MTHMTCS
If the vowels must be together, there have to be in one of the spaces between the non vowels.
If we look at it like this:
-M-T-H-M-T-C-S-
The 4 vowels must go in one of the places marked with a dash.
There are thus 8 places to choose from.
But we must also consider that the non vowels can be arranged in any way. There are 7 of them, so they can be arranged in 7*6*5*4*3*2=5040 ways.
Multiply everything together to get 8*5040*24=967680
Amount needed=earned+already have
205=earned+30
earned=7 times number of hours=7h
205≤7h+30
we used the less than or equal to because he needs at least 205, means 205 or greater must be earned
205≤7h+30
minus 30 both sides
175≤7h
divide both sides by 7
25≤h
needs to work at least 25 hours
