Answer:
Choices 2, 3, and 5 are correct.
Step-by-step explanation:
Complete question is:
Check all that apply.
1. ln ab² - ln a
2. ln a + 2 ln b
3. ln a² + ln b² - ln a
4. 2 ln ab
5. ln ab²
ANSWER:
The given expression is : 2 ln a + 2 ln b - ln a
It simplifies to: ln a + ln b² = ln ab²
Checking the given options.
1. ln ab² - ln a = ln (ab²)/a = ln b²
FALSE
2. ln a + 2 ln b = ln ab²
TRUE
3. ln a² + ln b² - ln a = ln (a²b²)/a = ln ab²
TRUE
4. 2 ln ab = ln a²b²
FALSE
5. ln ab²
TRUE
The speed of current will be "4.5 mph" and the rate Pratap can row in still water will be "8.5 mph".
What does "speed" mean in mathematics?
- Speed is what it means. the speed of a change in an object's location in any direction.
- Speed is defined as the ratio of distance to the amount of time it took to cover that distance.
- Speed is a scalar quantity because it just has a direction and no magnitude.
Given:
Distance "26 miles" in time "2 hours".
Let,
Speed of water = y
Pratap speed when rowing in still water = x
As we know,
Speed = distance/time
then,
x + y = 26/2
x + y = 13
x = 13 - y
In return trip took him time "6.5 hours",
x - y = 26/6.5
x - y = 4
By substituting the value of "x", we get
13 - y - y = 4
13 - 2y = 4
2y = 13 - 4
2y = 9
y = 9/4 = 4.5 mph (Rate of the current)
By substituting the value of "y", we get
x = 13 - a
x = 13 - 4. 5 = 8.5 mph (Pratap can row in still water)
Learn more about speed
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|EG| / |FH| = |GD| /|HD|
6/8 = |GD|/14
|GD| =6*14/8 = 10.5
Answer:
1.25 Hours (1 hour & 15 minutes)
Step-by-step explanation:
14x = 5 + 10x
Subtract 10x from both sides
4x = 5
Divide by 4 on both sides
x = 1.25
It will take 1 hour and 15 minutes (1.25 hours) for Mrs. Penn and Mrs. Smith to be paid the same amount.
