Answer:
Set builder notation: {a | a ≥ -21}
Interval notation: [-21, ∞)
Step-by-step explanation:
A set represents a collection of things, objects, or numbers. A set builder notation is in the form y = {x | x is an odd number between 8 and 10}, which means y contains all the odd numbers between 8 and 10.
Interval notation is a way to define a set of numbers between a lower limit and an upper limit using end-point values. for example (8, 20) means numbers between 8 and 20.
Given -3a-15≤-2a+6; solving :
-3a - 15 ≤ -2a + 6
-3a + 2a ≤ 6 + 15
-a ≤ 21
dividing through by -1:
a ≥ -21
The solution is:
Set builder notation: {a | a ≥ -21}
Interval notation: [-21, ∞)
Answer:
9.5 hours
Step-by-step explanation:
Your general equation is this:
y = mh + b
There is no b value because there is no starting value of miles.
y is the total number of miles driven. m is the amount of miles per hour. h is the number of hours.
570 = 60h
To find h, divide both sides by 60.
h = 9.5 hours
Hope this helps!
Answer:
Bucket 2
Step-by-step explanation:
Bucket 1 = 4700ml
Bucket 2 = 4.8l
Bucket 3 = 3880ml
Bucket 4 = 4.71 l
Convert holding capacity of bucket 1 and bucket 3 into liters
1 liter = 1000 milliliter
Bucket 1 = 4700ml
4700ml = 4.7l
Bucket 3 = 3880ml
3880ml = 3.88l
Therefore,
Bucket 1 = 4.7l
Bucket 2 = 4.8l
Bucket 3 = 3.88l
Bucket 4 = 4.71 l
The bucket closest to 5liters is bucket 2 with a holding capacity of 4.8 liters
The answer is 1,695.6 in³.
The volume of the empty space is the difference of the bigger cylinder and the smaller cylinder: V = V1 - V2
The volume of the bigger cylinder is:
V1 = π r² h
r = 10 in
h = 15 in
π = 3.14
V1 = 3.14 * 10² * 15 = 4,710 in³
The volume of the smaller cylinder is:
V2 = π r² h
r = 8 in
h = 15 in
π = 3.14
V2 = 3.14 * 8² * 15 = 3,014.4 in³
The volume of the empty space is:
V = V1 - V2 = 4,710 in³ - 3,014.4 in³ = 1,695.6 in³
Answer:
Step-by-step explanation:
let cos^{-1}x=t
cos t=x
when x=1,cos t=1=cos 0
t \rightarrow 0
