2^-2 = 1/2^2
so: (1/2^2)*(12*3)-5^3
simplify: (1/4)*36-125
36*(1/4) = 36/4 so: 9-125
subtract: -116
14:

56/8 = 7 so multiply 1/2 by 7/1 to get the unidentified fraction "x/y"
1/2 · 7/1 = 7/2 or 3 1/2
15. 
to get from 100 to 5, you would divide by 20, so to solve for x, multiply 2 by 20, to get a product of 40.
40/100 = 40% or D
16.
A
Answer:
3 hours
Step-by-step explanation:
speed of Bharat = 12kilometers / hour
speed of Ingrid=14 kilometers / hour
For this problem we'll be using formula relating time, distance and speed.i.e
Distance = speed x time
Suppose Bharat is riding at a distance of 'b' kilometers, therefore time taken by him will be:
Time = distance/ speed
Time= b/12 hours.
Also, Ingrid can ride the distance at this time with speed of 14km/hr
The distance would be,
Distance = speed x time
Distance = 14 x (b/12) => 14b/12
Distance= 7b/6
Let '
' be the distance that Bharat have covered after time 't'
therefore,
= 12 x t
Let '
' be the distance that Ingrid have covered after time 't'
therefore,
= 14 x t
In order to find the time when they are 78 kilometers apart, we will add
and
, because they are travelling in opposite direction creating distance between them.
So,
+
= 78
( 14 x t) + (12 x t) =78
14t + 12t =78
26t= 78
t= 78/26
t= 3hours.
thus, it will take 3 hours until they are 78 kilometers apart
Answer:
20:48
Introduction to scientific notation (video)
Step-by-step explanation:
<h2>
Answer:</h2>
The value is:
-4
<h2>
Step-by-step explanation:</h2>
We are asked to find the value of the ceiling function: 
As we know that the ceiling function always occupy the higher value in integers.
i.e. the ceiling function act as follows:
it takes value 0 when -1< x≤0
1 when 0 < x ≤ 1
2 when 1 < x ≤2
and so on.
As we know that:
-4.6 lie between -5 and -4.
Hence, we have:
