Pick 100 km for D...
<span>This would yield T=100 minutes </span>
<span>Using the question stem we calculate 80 km were traveled in 1h (or 60 minutes).... </span>
<span>This leaves us with 40 minutes (2/3 of an hour) to travel 20km..... </span>
<span>R*T=D </span>
<span>R*2/3=20 </span>
<span>R=30 </span>
<span>Answer A....</span>
Problem 1)
The base of the exponential is 12 which is also the base of the log as well. The only answer choice that has this is choice B.
======================================================================
Problem 2)
log(x) + log(y) - 2log(z)
log(x) + log(y) - log(z^2)
log(x*y) - log(z^2)
log[(x*y)/(z^2)]
Answer is choice D
======================================================================
Problem 3)
log[21/(x^2)]
log(21) - log(x^2)
log(21) - 2*log(x)
This matches with choice B
======================================================================
Problem 4)
Ln(63) = Ln(z) + Ln(7)
Ln(63)-Ln(7) = Ln(z)
Ln(63/7) = Ln(z)
Ln(9) = Ln(z)
z = 9
======================================================================
Problem 5)
Ln(5x-3) = 2
5x-3 = e^2
5x = e^2+3
x = (e^2+3)/5
This means choice A is the answer
Answer:
3/8
Step-by-step explanation:
(3/8) Since they have the same denominator, you can subtract the second numerator from the first so 6 minus 3 is 3. So 3/8
Answer:
2.2 x10= = 22.2 =22 million.
Step-by-step explanation:
Answer:
To calculate how many total miles Rachel runs per minute, setting up a unit rate, that is a rate with a denominator of 1, would be helpful.
Step-by-step explanation:
Use the current problem to determine a rate.
23 minutes/4 miles
Now, set up a unit rate.
1 minute/<em>x </em>miles = 23 minutes/4 miles
To solve for <em>x, </em>we can use simple division strategies. We divide 23 by 23 to receive 1 minute. Likewise, dividing the current milage by 23 would wield the correct unit rate. To do this, divide 4 by 23.
4/23 = 0.1739130434782609
Finally, simplify your answer to receive 0.17.
Therefore, Rachel runs ~0.17 miles per minute. (Note that this answer is only a rounded answer of her actual milage per minute)
