Answer:
The expression
represents the radius of the soap dispenser.
The expression
represents the height of the soap dispenser.
Step-by-step explanation:
The question says that the soap dispenser is in the form of a cylinder.
Now, we find the volume of the cylinder by using the given formula:
, where V represents the volume, 'r' represents the radius, and 'h' represents the height of the cylinder.
Now, the volume is the product of radius squared and the height, if they both are functions of
, then the function to represent the volume must have cubic exponents.
Since, the radius is squared in the formula and it is a function of
that implies that the function of radius must have square as the exponent of
, therefore, the expression
will represent the radius of the soap dispenser and the expression
represents the height of the soap dispenser.
Hello,
x²+y²-10x+6y+18=0
==>(x²-2*5x+25)+(y²+2*3y+9)+18-25-9=0
==>(x-5)²+(y+3)²=16
Radius is 4.
Center (5,-3)
Step-by-step explanation:
twice the difference of a number and 6
2×(n - 6)
the correct options are
1.
3.
4.
5.
in other words : 2. and 6. are wrong, as there is no addition, and the expression has to be written with brackets to allow the subtraction to be done before the multiplication.
The amount of radioactive material that would remain by the 7th hour of decay is 0.12 grams.
<h3>
Exponential function</h3>
An exponential function is in the form:
y = abˣ
where y,x are variables, a is the initial value and b is the multiplicative factor.
Let y represent the amount of substance remaining after x hours. Hence:
a = 9375, at x = 4, y = 15:
15 = 9375(b)⁴
b = 0.2
y = 9375(0.2)ˣ
For the 7th hour, x = 7:
y = 9375(0.2)⁷ = 0.12
The amount of radioactive material that would remain by the 7th hour of decay is 0.12 grams.
Find out more on Exponential function at: brainly.com/question/12940982
Answer: 16
Step-by-step explanation:
We first find out the number of graphic novels that Kaley reads, we set the number as k.
3k = 30
k = 10
Then Kaley reads 6 graphic novels fewer than Safara, which means that we plus 6 to the number of graphic novels that Kaley read,
k + 6 = 10 + 6 =16