Hi,
To add two fraction, they must have the same denominator.
So 5/6 = 10/12
Now : 10/12 + 1/12 = 11/12
I believe your answer should be $0.95
Of course, I could be wrong, and I apologise if I am.
The answer is 3/10 cause 3 bars out of 10 are shaded in.
hope it helped!!!
Answer:
65625/4(x^5)(y²)
Step-by-step explanation:
Using binomial expansion
Formula: (n k) (a^k)(b ^(n-k))
Where (n k) represents n combination of k (nCk)
From the question k = 5 (i.e. 5th term)
n = 7 (power of expression)
a = 5x
b = -y/2
....................
Solving nCk
n = 7
k = 5
nCk = 7C5
= 7!/(5!2!) ------ Expand Expression
=7 * 6 * 5! /(5! * 2*1)
= 7*6/2
= 21 ------
.........................
Solving (a^k) (b^(n-k))
a = 5x
b = -y/2
k = 5
n = 7
Substituting these values in the expression
(5x)^5 * (-y/2)^(7-5)
= (3125x^5) * (-y/2)²
= 3125x^5 * y²/4
= (3125x^5)(y²)/4
------------------------------------
Multiplying the two expression above
21 * (3125x^5)(y²)/4
= 65625/4(x^5)(y²)
Venus moves at an approximate speed of 78,341 miles per hour, so we need this to be miles per second for our calculations.
First, divide by 60, as this time is for hours, and 1/60 of an hour is a minute.
78,341/60=1305.68333 miles per minute.
Divide this number by 60 to get 1 second, as there are 60 seconds in a minute.
1305.68333/60=21.7613888 miles per second
Now, multiply this by 5 for the total distance over 5 seconds.
21.7613888*5=108.806944 miles in 5 seconds
Now, we need to convert this distance from miles to kilometers, by multiplying this final answer by 1.6.
108.806944 miles*1.6=174.0911 kilometers in 5 seconds.
Hope this helps!
And I do not think any rounding was completed until the end. I shortened for the display on this, but I used the infinite decimal in the calculator.
