The sum of 3 consecutive odd numbers is 51 What is the second number in this sequence
1 answer:
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Answer:
The Total distance she travel fro work is 30 miles .
Step-by-step explanation:
Given as :
the total time taken to cover distance = 45 minutes
Let The total distance cover = D miles
The distance cover at the speed of 32 mph = miles
The time taken to cover miles distance =
hour
Distance = Speed × Time
∴ = 32 mph ×
h
or, = 16 miles
Again ,
The distance cover at the speed of 56 mph = miles
The time taken to cover miles distance =
hour
∴ = 56 mph ×
h
or, = 14 miles
So , The total distance she travel for work = +
Or, The total distance she travel for work = 16 miles + 14 miles = 30 miles
Hence The Total distance she travel fro work is 30 miles . Answer
Answer:
⁵/₃ ln 2
Step-by-step explanation:
∫₀¹ ∫√ₓ¹ 5 / (y³ + 1) dy dx
We want to change the order of integration. To do this, we start by graphing the region contained by the four limits.
x = 0, x = 1
y = √x, y = 1
(Notice that y = √x is the same as x = y²).
Once we've graphed the region, we need to write the domain of x in terms of y. In this case, 0 < x < y².
Then, we find the range: 0 < y < 1.
Now we can rewrite the integral:
∫₀¹ ∫₀ʸ² 5 / (y³ + 1) dx dy
Notice that the integrand itself, 5 / (y³ + 1), does not change. Only the limits have changed.
Solve the integral.
∫₀¹ [ 5 / (y³ + 1) x |₀ʸ² ] dy
∫₀¹ [ 5y² / (y³ + 1) ] dy
⁵/₃ ∫₀¹ [ 3y² / (y³ + 1) ] dy
(⁵/₃ ln|y³ + 1|) |₀¹
⁵/₃ ln|1³ + 1| − ⁵/₃ ln|0³ + 1|
⁵/₃ ln 2
Answer:
D
Step-by-step explanation:
You can look at it like a right triangle being made with the vertical part being 9 and the horizontal part being 8, then you want to find the diagonal part. So that's the Pythagorean theorem