I think the answer you’re looking for is
B. 9
-I hope this helps!
The point (8,2,9) is in the first octant.
The closest distance from the coordinate planes is the value y=2, which will therefore be the maximum radius of the required sphere.
The standard equation of a sphere with radius r and centre (u,v,w) is given by
(x-u)^2+(y-v)^2+(z-w)^2=r^2
Substituting r=2, u=8, v=2, w=9, we get the equation of the required sphere
(x-8)^2+(y-2)^2+(w-9)^2=2^2
Answer:
Please find attached the graph of the relationship between the gallons, g, and cost, C
The relationship between the cost and number of gallons is cost C = $3.25 × Number of gallons, g
Step-by-step explanation:
The given parameters are;
Number of Gallons, g 
Cost, C
6 $19.50
22 $71.50
From the given coordinates, we generate the graph using Microsoft Excel, as seen in the attached graph
The given coordinates can be used to find the equation of the relationship in point and slope form as follows;
The slope of the the given coordinates are (71.5 - 19.5)/(22 - 6) = 3.25
The equation of the graph in point and slope form is C - 71.5 = 3.25·(g - 22)
C - 71.5 = 3.25·(g - 22)
C = 3.25·g - 3.25 × 22 + 71.5 = 3.25·g - 0
C = 3.25·g
The relationship between the cost and number of gallons is cost C = $3.25 × Number of gallons, g
From the above equation, we have, that the price per gallon is $3.25
Answer:
b. $35.61
Step-by-step explanation:
First, convert the 25% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 25%) by 100%.So, the conversational term "25%" becomes 25% / 100% = 0.25 in terms of a real mathematical number.
Second, you need to find out what 25% of your $28.49 meal cost is.This is always done by multiplying 0.25 by $28.49, or
<h2> 0.25 x $28.49=$7.12.
</h2>
So, the amount of tip you are going to leave is $7.12.
This makes the total cost of your meal (to write on your charge slip or other payment)
<h2>
$28.49 + $7.12 = $35.61.
</h2>
Answer:
Step-by-step explanation:
- <em>Let the distance is </em><em>d</em><em>, speed is </em><em>s</em>
<u>As per given we have:</u>
- d/s = 5
- 36/s + (d - 36)/(s + 3) = 5 - 1/4
<u>Substitute d with 5s and solve for s:</u>
- 36/s + (5s - 36)/(s + 3) = 19/4
- 36(s + 3) + s(5s - 36) = 19s(s + 3)/4
- 4(36s + 108 + 5s² - 36s) = 19s² + 57s
- 20s² + 432 = 19s² + 57s
- s² - 57s + 432 = 0
- s² - 9s - 48s + 432 = 0
- s(s - 9) - 48(s - 9) = 0
- (s - 9)(s - 48) = 0
- s -9 = 0 ⇒ s = 9 km/h
- s - 48 = 0 ⇒ s = 48 km/h
The original speed of grey wolf can be 9 km/h or 48 km/h
