Answer:
a) Not a function
b) It is a function
c) It is a function
Step-by-step explanation:
a) f(S) is not completly well defined, becuase if the bistring has multiple zeros, you need to pick one and there is not specified method in how you would do so. Another reason for which f is not well defined as a function is that for a bistring with only 1's, f is not defined because there is no zero.
b) This is a function. f(S) returns a concrete and unique integer number for each bistring S. If the bistring has only zeros, the f(S) = 0.
c) This is well defined as a function. It compensates for the failures of the first definition:
- If multiple zeros appears in S, you pick the first one, so there is one possible value for f(S)
-If no zeros appear, f is still well defined because it takes the value 0, as specified in the definition.
To solve this, we have to find the volume of the cylinder first. The formula to be used is
Given:V= ?r= 6cmh= 10cm
Solution:
V= (3.14)(6cm)
x 10cmV= (3.14)(
) x 10cmV= (
) x 10cmV= 1130.4cm^3
Finding the volume of the cylinder, we can now solve what the weight of the oil is. Using the formula of density, Density = mass/volume, we can derive a formula to get the weight.
Given:Density = 0.857 gm/cm^3Volume = 1130.4 cm^3
Solution:weight = density x volumew= (0.857 gm/cm^3) (1130.4cm^3)w= 968.7528 gm
The weight of the oil is 968.75 gm.
Answer:
(x-1)²+ (y-0.5)²=6.25
Step-by-step explanation:
<u>The standard form of equation of a circle is;</u>
(x-a)²+(y-b)²=r² where (a,b) are the center of the circle and r is the radius
<u>Finding the mid-point of the given points</u>
(-1,2) and (3,-1)⇒midpoint will be 1/2(x₁+x₂) , 1/2(y₁+y₂)
midpoint= {1/2(-1+3), 1/2(2+-1)}
midpoint=(1,0.5)
<u>Finding the radius r; the distance from the center to either of the given two points</u>
Apply the distance formula d=√ (x₂-x₁)² +(y₂-y₁)²
Taking (x₁,y₁) as (1,0.5) and (x₂,y₂) as (-1,2) then
d=√ (-1-1)² +(2-0.5)²
d= √ (-2)²+(1.5)²
d=√4+2.25⇒√6.25⇒2.5
r=2.5
<u>Equation of the circle</u>
(x-1)² + (y-0.5)²=2.5²
(x-1)²+ (y-0.5)²=6.25
Answer:
y=4/5x-2
Step-by-step explanation:
here are the given points: (5,2) and (10,6)
First, let's find the slope, which is found with the equation (y2-y1)/(x2-x1)
so let's label the points
x1=5
y1=2
x2=10
y2=6
now we can substitute into the equation
m=(6-2)/(10-5)
subtract
m=4/5
so that means the slope is 4/5
Now, let's use point slope form, which is y-y1=m(x-x1) (m is the slope)
so let's substitute the numbers we know from earlier into the equation
y-2=4/5(x-5)
do distributive prop.
y-2=4/5x-4
add 2 to both sides
y=4/5x-2
hope this helps!
Answer:
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Step-by-step explanation:
