Use Pascal’s Triangle to determine the fifth term of the expansion of (x + 3)7
Answers
Answer:
2835x^5.
Step-by-step explanation:
By Binomial Theorem, T(r+1) = nCr * a^(r+1) * b^r.
Term 5 = 7C4 * x^5 * 3^4
= 35 * x^5 * 3^4
= 2835x^5.
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Answers
The hummingbird will take 1 minute 13 seconds.
Let the time that will be taken by the hummingbird be represented by x
Note that 1 minute = 60 seconds
Based on the information given, the equation that'll be used in the question will be:
45/55 = 60/x
Cross multiply
(45 × x) = (60 × 55)
45x = 3300
x = 3300/45
x = 73.33 seconds
x = 1 minute 13 seconds
The hummingbird will take 1 minute 13 seconds.
Read related link on:
Answer:
1 2/9 minutes
Step-by-step explanation:
55 mph
55 / 60 = 11/12
11/12 of a mile = 1 minute
45 mph
45 / 60 = 3/4
3/4 of a mile = 1 minute
11/12 divided by 3/4
11/12 * 4/3
We can cross-cancel
11/3 * 1/3 = 11/9 = 1 2/9
It takes 1 2/9 minutes for the hummingbird to cross the lake
Hope this helps!
(Please let me know if I did something wrong!)
Answers
Answers
thus making the entire operation the answer is : 5 of 13 = 5/13
I hope I was helpfull
f(x)=
given x is 2
f(2)=
=
=
Answer=
Answers
(-∞,-2) and [2,5) will be the correct representation of the given number line.
What is the range and domain of a function?
A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
The domain is for the independent variable while the range is for the dependent variable.
Given a number line with arrows.
If a number is included then it is given in the middle bracket [ ] while if it is not included then it is given in the small bracket ().
Since in the given number line,
The line is coming through -∞ and at 2 not up to
So,
(-∞,-2) will be correct.
Now,
The right-hand sideline is going from 2 to 5(not included)
So,
[2,5) will be correct.
Hence "(-∞,-2) and [2,5) will be the correct representation of the given number line".
For more details about the range and domain of the function,
#SPJ2
Answer:
Option 3
Step-by-step explanation:
-infinity < x< -2 , 5 > x ≥ 2
Round bracket for boundary excluded, and square bracket for boundary included
(-infinity, -2) or [2,5)