Answer:
the polynomial has degree 8
Step-by-step explanation:
Recall that the degree of a polynomial is given by the degree of its leading term (the term with largest degree). Recall as well that the degree of a term is the maximum number of variables that appear in it.
So, let's examine each of the terms in the given polynomial, and count the number of variables they contain to find their individual degrees. then pick the one with maximum degree, and that its degree would give the actual degree of the entire polynomial.
1) term 
contains four variables "x" and two variables "y", so a total of six. Then its degree is: 6
2) term 
contains two variables "x" and five variables "y", so a total of seven. Then its degree is: 7
3) term 
contains four variables "x" and four variables "y", so a total of eight. Then its degree is: 8
This last term is therefore the leading term of the polynomial (the term with largest degree) and the one that gives the degree to the entire polynomial.
To solve the question we shall use the formula for the range given by:
Horizontal range, R=[v²sin 2θ]/g
plugging in our values we get:
500=[160²×sin 2θ]/10
5000=160²×sin 2θ
0.1953=sin 2θ
thus:
arcsin 0.1953=2θ
11.263=2θ
hence:
θ=5.6315°~5.63
33 Million dollars have been made.
Answer:
41.86 miles each hour
Step-by-step explanation:
Kelli and her family went to the beach for a vacation. They drove 293 miles in 7 hours to get there. ABOUT how many miles did they drive each hour?
This Question is calculated as:
7 hours = 293 miles
1 hour = x miles
Cross Multiply
7 hours × x = 1 × 293 miles
x = 293 miles/7 hours
x = 41.857142857 miles per hour
x ≈ 41.86 miles per hour
Hence, they drove 41.86 miles each hour
Answer:
There is a 61.36% probability that a randomly selected day in November will be foggy if it is cloudy.
Step-by-step explanation:
We have these following probabilities:
An 88% probability that the day is cloudy.
An 54% probability that the day is both foggy and cloudy.
What is the probability that a randomly selected day in November will be foggy if it is cloudy?
This is the percentage of days that are cloudy and foggy divided by those that are cloudy. So:
There is a 61.36% probability that a randomly selected day in November will be foggy if it is cloudy.
