Answer:
The time at which the two trains will meet is 1 hour and 24 minutes
Step-by-step explanation:
The distances between the two trains = 196 miles
The direction of the two trains = Towards each other
The speed of one of the trains = 80 miles per hour
The speed of the other train = 60 miles per hour
Let 't' represent the time at which the two trains meet, we have;
80·t + 60·t = 196
∴ 140·t = 196
t = 196/140 = 7/5
The time at which the two trains will meet, t = 7/5 hours = 1.4 hours = 1 hour, 24 minutes.
In math, "of" almost always means "times".
"The property" is 7/8 acre.
So "1/4 of the property" means "1/4 times 7/8 acre".
1/4 x 7/8 = (1 x 7) / (4 x 8)
That's 7/32 .
Mr. Lopez hasn't plowed up anything yet, but his plan is to plow up 7/32 acre for his garden.
No, because using the vertical line test, two points touch on the same line
[3, 3]
[3,4]
Answer:
The probability that the second card is a face card if it’s known that the first card was a face card is 0.0497
Step-by-step explanation:
Total number of face cards = 12
Total cards = 52
Probability of getting face card on first draw=
Remaining no. of face cards = 11
Remaining number of total cards = 51
Probability of getting face card on second draw=
The probability that the second card is a face card if it’s known that the first card was a face card =
Hence The probability that the second card is a face card if it’s known that the first card was a face card is 0.0497
Answer:
If log x = 2
x = 100
Step-by-step explanation:
Logarithm always has a base and an index. It can be I many forms.
It can be in base 2, 3, 4, 5, and so on.
It is a property of logarithm that if
logarithm of 'a' to base 'b' equals 'x', we write:
log_b (a) = x
Then,
a = b^x.
Usually, when a logarithm is written without a base, it tells us that it is in base 10. Instead of writing a logarithm of x to base 10,we can just write 'log x', it is sufficient to say that it is in base 10.
It can also be in the form of the Napierian Logarithm, 'ln'.
'ln x' is logarithm to base 'e'.
if ln x = 5
Then
x = e^5.
So,
log x = 2
Means logarithm of 'x' to base 10 equals 2.
x = 10^2
= 100
x = 100
