Answer: 315.3 min^-1
Step-by-step explanation:
Given the following :
Speed = 45miles per hour
Diameter of wheels = 48inches
Number of complete revolutions the wheel makes in one minute =?
Since wheel diameter is in inches, we convert speed (miles/hour) to inch per minute
1 mile = 63360 ; 60minutes = 1 hour
45 miles / hour = (45 × 63360) / 60
= 2851200 inch/60 min
= 47520inch/min
Distance covered per revolution:
Circumference of a circle (C) = 2πr
Where r = radius ; r = diameter / 2
r = 48/2 = 24 inches
C = 2 * 3.14 * 24 = 150.72inches
Number of revolutions per minute:
Speed per minute / distance covered per revolution
(47520inch/min)/ (150.72 inch)
= 315.286 min^-1
Answer: a<b
Step-by-step explanation:
Given statement: "a number <em>a</em> is always less than another number <em>b."</em>
<em />
We use "<" or ">" sign to show less than or more than comparison in a mathematical statement.
If <em>a</em> is less than <em>b </em>then it can represented as
<em>a < b</em>
The expressions expresses the relationship between <em>a</em> and <em>b</em> would be:
<em>a < b</em>
Answer:
The y-intercept is -2
Step-by-step explanation:
y = mx + b
4x + 6y = -12?
6y = -4x - 12
/6 /6
y = - 2
The y-intercept is -2
Hope that helps!
Answer:
b=−1/14ot+2
Step-by-step explanation:
Let's solve for b.
to−8+5b=−6+26−9b
Step 1: Add 9b to both sides.
ot+5b−8+9b=−9b+20+9b
ot+14b−8=20
Step 2: Add -ot to both sides.
ot+14b−8+−ot=20+−ot
14b−8=−ot+20
Step 3: Add 8 to both sides.
14b−8+8=−ot+20+8
14b=−ot+28
Step 4: Divide both sides by 14.
14b
14
=
−ot+28
14
b=
−1
14
ot+2