Answer:
12
Step-by-step explanation:
Volume of a sphere = 4/3 pi r^3 r = 3 for this one
volume = 4/3 pi (3^2) = 36/3 pi = 12 pi units^3
The center of a circle whose equation is x^2 +y^2 – 12x – 2y +12 = 0 is (6,1)
<h3>Equation of a circle</h3>
The standard equation of a circle is expressed as:
x^2 + y^2 + 2gx + 2fy + c = 0
where:
(-g, -f) is the centre of the circle
Given the equations
x^2 +y^2 – 12x – 2y +12 = 0
Compare
2gx = -12x
g = -6
Simiarly
-2y = 2fy
f = -1
Centre = (6, 1)
Hence the center of a circle whose equation is x^2 +y^2 – 12x – 2y +12 = 0 is (6,1)
Learn more on equation of a circle here: brainly.com/question/1506955
Answer:
-54
Step-by-step explanation:
8a + 7b + c = 9
We want -6c, but we have c in the equation so multiply by -6
-6(8a + 7b + c) = 9*-6
-48a -42b -6c = -54
Rearranging the equation
-6c - 48a - 42b = -54
Answer:
The amount <u>$20.00</u> is the overdraft fee.
Step-by-step explanation:
Given:
Katie's bank statement shows a closing balance = $178.11.
Her checkbook shows a balance = $198.11.
Now, to get what might account for the different balances?
Closing balance of Katie's bank statement = $178.11
Balance of her checkbook shows = $198.11.
As, there are no outstanding checks or deposits.
So, to get the difference of amount:
Thus, $20.00 is the overdraft amount.
Therefore, the amount $20.00 is the overdraft fee.
Answer:
I believe the answer would be 20 miles max for one passenger.
Step-by-step explanation:
This is because if you create an equation out of this, knowing that only one passenger will be riding, you will get:
$3.00+$1.25x=$28 ($3 added too $1.25 times the number of miles (x) which equals the total amount you have ($28)).
x being the number of miles (so we need to calculate for x)
$3 + $1.25x = $28
-subtract 3 on both sides-
$1.25x=$28-$3
$1.25x=$25
-divide by 1.25 on both sides-
x=$25/$1.25
x=20 miles
Not sure if all calculations are correct, but I hope this helps :)!
