Answer:
60/15 = 4 hrs
Step-by-step explanation:
1. A motorcycle driver travels 15kph faster than a bicycle rider.
The motorcycle driver covers 60 km in two hours less than the time it takes the bicycle rider to travel the same distance?:
Let s = the bike speed
then
(s+15) = the motorcycle speed
Write a time equation; time = dist/speed
Bike time - M'cycle time = 2hr
60%2Fs - 60%2F%28%28s%2B15%29%29 = 2; Sorry for the mistake here!
multiply eq by s(s+15) cancel the denominators and you have
60(s+15) - 60s = 2s(s+15)
60s + 900 - 60s = 2s^2 30s
Combiner as a quadratic equation on the left
0 = 2s^2 + 30s - 900
simplify divide by 2
s^2 + 15s - 450 = 0
Factors to
(s+30)(s-15) = 0
the positive solution
s = 15 km/hr is the bike speed
then
30 km/hr is M'cycle speed
Answer:
First blank: [-π/2 , π/2]
Second blank: [-π/2 , π/2]
Step-by-step explanation:
The conditions for inverse function to exist is that the function should be one to one function.
A function for which every element of the range of the function corresponds to exactly one element of the domain.
The function can be tested by the vertical line test.
For the given function f(x) = sin x is not one to one function.
so, the domain of the function f(x)=sin x restricted so that its inverse function exists
The domain will be the range provided that when we apply the vertical line test will intersects at only one point
So, the domain will be<u> [-π/2 , π/2]</u>
And this means f(x) = sin⁻¹ x are on the interval<u> [-π/2 , π/2]</u>
Answer:
A) 3, 4, 5, 6, 7, 8
Step-by-step explanation:
2+1, 2+2, 2+3, 2+4, 2+5, 2+6= 3, 4, 5, 6, 7, 8
Answer:
it is
Step-by-step explanation:
1 is 2000
2 is 1679591
3 is (x over 2 +4 )(x+2) (x-2)
The account be worth in 7 months is 375.725 .
<h3>What is the amount in simple interest?</h3>
Amount (A) is the total money paid back at the end of the time period for which it was borrowed. The total amount formula in case of simple interest can also be written as: A = P(1 + RT)
Here, A = Total amount after the given time period.
Given that,
P = $350, R = 1.05%, T = 7 month
The simple interest equation uses "t" as years, but is just cycles, using an APR rate.
now, if we never mind "t" as years and just use it as an interest cycle, then we can say the rate is 1.05% and the period is 7 cycles.
A = P(1 + RT)
= 350(1+1.05%×7)
= 350(1+0.0105×7)
= 350(1+0.0735)
= 350×1.0735
A = $375.725
Hence, The account be worth in 7 months is 375.725 .
To learn more about simple interest from the given link:
brainly.com/question/25793394
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