Answer:
6 6/7 km/h
Step-by-step explanation:
The relations between speed, time, and distance are ...
time = distance/speed
speed = distance/time
__
So, to find the average speed, we need to know the total distance and the total time. The distances are given, but we need to compute the times.
time jogging = (2 km)/(8 km/h) = 1/4 h
time walking = (2 km)/(6 km/h) = 1/3 h
Then the woman's average speed is ...
average speed = (total distance)/(total time) = (2 km + 2 km)/(1/4 h + 1/3 h)
= (4 km)/(7/12 h) = 48/7 km/h
= 6 6/7 km/h
We can figure this out using the explicit formula.

n represents the term we are looking for.
f(1) represents the first term in the sequence, which in this case, is 7.
d represents the common difference, which in this case, is +3.
f(n) = 7 + 3(n - 1)
f(n) = 7 + 3n - 3
f(n) = 4 + 3n
Now, we can input 214 for n and solve.
f(214) = 4 + 3(214)
f(214) = 4 + 642
f(214) = 646
The 214th term in this sequence is 646.
Answer:
If y(x-y)^2=x, then int1/(x-3y)dx is equal to (A) 1/3log{(x-y)^2+1} (B) 1/4log{(x-y)^2-1} (C) 1/2log{(x-y)^2-1} (D) 1/6 log{(x^2-y^2-1}
Step-by-step explanation:
Answer:
Area of Trapezoid is 39 unit²
Step-by-step explanation:
Given as :
For A Trapezoid
The measure of base side 1 =
= 10 unit
The measure of base side 2 =
= 16 unit
The height of the Trapezoid = h = 3 unit
Let The Area of Trapezoid = A square unit
<u>Now, From Formula</u>
Area of Trapezoid =
× (sum of opposite base) × height
I.e A =
× (
+
) × h
Or, A =
× (10 unit + 16 unit) × 3 unit
Or, A =
× (26 unit) × 3 unit
Or, A =
× 78 unit²
Or, A =
unit²
I.e A = 39 unit²
So, The Area of Trapezoid = A = 39 unit²
Hence, The Area of Trapezoid is 39 unit² . Answer
Answer:
This may not be the numbers but just follow the way in how i did it hope it helps!!!
Step-by-step explanation:
SA= 2lw x 2lh x 2wh
Length - 5m
Width - 4m
Height - 6m
= 2 (5 x 4)+2 (5 x 6)+2 (4 x 6)
=2 ( 20)+2 (30)+2 (24)
= 40 + 60 + 48
=148
The dimensions of a second rectangular prism that will have the same surface area will be the below:
Length - 6m
Width - 5m
Height - 4m
SA = 2lw + 2lh + 2wh
= 2(6 x 5)+2 ( 6 x 4) +2 ( 5 x 4)
=2(30)+2 (24)+2 (20)
=60 + 48 + 40
= 148