Answer:
6cm
Step-by-step explanation:
14
Answer:
Part a) Option d
Part b) Option a
Step-by-step explanation:
Part a
if we look at the options given and the data available
Option a) x^4+9
Putting x= 2 we get (2^4) + 9 =25
Putting x= 3 we get (3^4) + 9 =90 but f(x) =125 so not correct option
Option b) (4^x)+9
Putting x= 2 we get (4^2) + 9 =25
Putting x= 3 we get (4^3) + 9 =73 but f(x) =125 so not correct option
Option c) x^5
Putting x= 2 we get (2^5) =32 but f(x) =25 so not correct option
Option d) 5^x
Putting x= 2 we get (5^2) =25
Putting x= 3 we get (5^3) =125
Putting x= 4 we get (5^4) =625
So Option d is correct.
Part (b)
3(2)^3x
can be solved as:
=3(2^3)^x
=3(8)^x
So, correct option is a
Answer:
Option: B
There are three times as many participants in the 40-59 age group than in the 0-19 age group.
Step-by-step explanation:
From the histogram we have following observations:
Number of people in the age group 0-19= 20
Number of people in the age group 20-39=40
Number of people in the age group 40-59=60
Number of people in the age group 60-79=50
Hence, from the data we could say that there are three times as many participants in the 40-59 age group( which is 60) than in the 0-19 age group(which is 20).
Hence, option B is correct.
Since these both are on the same hour we'll ignore the 5. We end up having :35 and :52. We'll subtract 35 from 52 which gives us 17. The answer to this is 17 minutes.
Answer:
A
Step-by-step explanation:
What we need to know simply is the time taken for both trips. We know the car spent 6 hours on the first leg, that is settled.
What we do not know is the time spent on the second leg. To get the time spent on the second leg of the journey, we only need to get the total distance divided by the speed.
We can get the distance using the first part of the question. The time is 6 hours and the speed is x miles per hour, the total distance is this 6x miles.
Now we need to know the time spent on the second leg of the journey. We know that the distance is the same. Hence the time spent is 6x/y where y is the speed for the second leg and 6x is the length of each leg
Now the total time spent is thus (6x/y +6) hours. We need to however convert this to minutes. We do this by multiplying by 60
(6x/y + 6) * 60
