<u>Answer:</u>
The coefficient of
<u>Solution:
</u>
The given expression is
As per binomial theorem, we know,
Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10
Now will be the 6 term where k =5
Now,
So, the coefficient of .
The coefficient of
Answer:
The total number of U.S. high school students that played on a sports team that year can be estimated to be 7,950,000.
Step-by-step explanation:
From the random sample, we can expect that of all students played on a sports team that year. So in the bigger sample of 15900000 high school students, we can expect students to have played on a sports team that year.
The rate of change of the volume with respect to s when s = 15 centimeters is 3375 centimeters
<h3>What is the volume?</h3>
The formula for volume of a cube is given as;
Volume = a³
Where:
a = length of its side
From the information given, we have;
V = s³
Where s = 15 centimeters
Substitute the value into the formula
v = (15)³
v = 3375 centimeters
Thus, the rate of change of the volume with respect to s when s = 15 centimeters is 3375 centimeters
Learn more about a cube here:
brainly.com/question/1972490
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Answer:
The perimeter of the garden, in meters, is
Step-by-step explanation:
Diagonal of a square:
The diagonal of a square is found applying the Pythagorean Theorem.
The diagonal of the square is the hypothenuse, while we have two sides.
Diagonal of 12m:
This means that , side s. So
Factoring 72:
Factoring 72 into prime factors, we have that:
72|2
36|2
18|2
9|3
3|3
1
So
So, in simplest radical form:
Perimeter of the garden:
The perimeter of a square with side of s units is given by:
In this question, since
The perimeter of the garden, in meters, is
Answer:
The Answer is 1080x^21 + 2160x^20 + 3
Step-by-step explanation: