Answer:
The rate of current is 2.5 mph.
Step-by-step explanation:
The speed in the water when current is absent is 9 mph.
If the speed of the current is v mph then the upstream speed is (9 - v) mph and the downstream speed is (9 + v) mph.
Now, it takes 5 hours longer to travel 74 miles upstream than down stream, then we can write the equation as
⇒ 
⇒ 148v = 405 - 5v²
⇒ 5v² + 148v - 405 = 0
Applying Sridhar Acharya's formula we can write
(Neglecting the negative root)
⇒ 
mph (Rounded to the nearest 10th) (Answer)
Answer:
<em>Answer: C</em>
Step-by-step explanation:
<u>The Cosine Function</u>
The graph of a cosine function is a sinusoid that starts at its maximum value of 1 at x=0 and takes x=2π radians to complete a full cycle. The function of the parent cosine function is:
Both the amplitude A and the angular frequency w of a cosine can be modeled by the function
The graph of the cosine function shown in the figure has an amplitude of A=3 and it completes a full cycle at x=π/2, thus:
Thus:
Therefore, the equation of the sinusoid is:
Answer: C
Answer:
990 ways
Step-by-step explanation:
The total number of automobiles we have is 11.
Now, what this means is that for the first position , we shall be selecting 1 out of 11 automobiles, this can be done in 11 ways( 11C1 = 11!/(11-1)!1! = 11!/10!1! = 11 ways)
For the second position, since we have the first position already, the number of ways we can select the second position is selecting 1 out of available 10 and that can be done in 10 ways(10C1 ways = 10!9!1! = 10 ways)
For the third position, we have 9 automobiles and we want to select 1, this can be done in 9 ways(9C1 ways = 9!/8!1! = 9 ways)
Thus, the total number of ways the first three finishers come in = 11 * 10 * 9 = 990 ways
Answer:
5
Step-by-step explanation:
she bought a soft drink for $3 so subtract that from the overall cost which is $43.
$43.00 - $3.00 = $40.00
Then I just divided that by 8 because thats how many candy bars she bought
40 ÷ 8 = 5
So each candy bar was $5.00
Hope its right
Im extremly sorry if its wrong
Given that there is a survey of 100 randomly selected female members of the gym about choosing between "easy weight-lifting machines or the harder free weights".
Report of the survey says that "female members at the gym prefer the weight-lifting machines over the free weights."
Now we have to select from the given statements that correctly evaluate the report.
According to me "The question is biased towards a response of preferring to use weight-lifting machines." because description of word "hard" is used for "free weights" while word "easy" is used for "machines". That may persuade some people to choose the machine.
Since 100 females are randomly selected not specifically so "The sample is not biased."
Hence final answer should have two statements:
1) The question is biased towards a response of preferring to use weight-lifting machines.
2) The sample is not biased.
