<span>Traveled Downstream a distance of 33 Mi and then came right back. If the speed of the current was 12 mph and the total trip took 3 hours and 40 minutes.
Let S = boat speed in still water then (s + 12) = downstream speed (s -12) = upstream speed
Given Time = 3 hours 40 minutes = 220 minutes = (220/60) h = (11/3) h Time = Distance/Speed
33/(s +12) + 33/(s-12) = 11/3 3{33(s-12) + 33(s +12)} = 11(s+12) (s -12) 99(s -12 + s + 12) = 11(</span> s^{2} + 12 s -12 s -144) 99(2 s) = 11(s^{2} -144) 198 s/11 = (s^{2} -144) 18 s = (s^{2} -144) (s^{2} - 18 s - 144) = 0 s^{2} - 24 s + 6 s -144 =0 s(s- 24) + 6(s -24) =0 (s -24) (s + 6) = 0 s -24 = 0, s + 6 =0 s = 24, s = -6 Answer) s = 24 mph is the average speed of the boat relative to the water.
Answer:
Gabriel needs to have $3.75 for sales tax.
Step-by-step explanation:
A sales tax rate of 6.25% means that 6.25 cents is going to be charged for tax for each dollar you spend. (Because 6.25% of $1.00 is 6.25 cents.)
If he was spending $10, the sales tax would be 62.5 cents (6.25 cents per dollar x 10 dollars). Since he is spending $60 on this item, the equation would be (6.25 cents per dollar x 60 dollars) (6.25 cents x 60 = 375 cents).
And 375 cents equals $3.75.
Answer:
<h2>
7.2</h2>
option B is the right option.
Step-by-step explanation:
<h3>
Using leg rule</h3>
Plug the values:
Apply cross product property
Calculate the product
divide both sides of the equation by 20
Calculate:
hope this helps..
Good luck...
Considering it's critical points, it is found that the least possible degree of the polynomial graphed above is of 4.
<h3>What are the critical points of a function?</h3>
The critical points of a function are the values of x for which:
In a graph, they are the turning points, and if a function has n critical points, the least possible degree is of n + 1.
In this problem, the function has 3 turning points, at x = -3, between x = -3 and x = 3, and at x = 3, hence the least possible degree of the polynomial graphed above is of 4.
More can be learned about the critical points of a function at brainly.com/question/2256078
Answer:
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