Remark
Not many per square mile. Sounds like an ideal place to live.
Step One
Find the number of Square Miles.
Area = Height * Width
Area = 380 * 200
Area = 76,000 square miles.
Step Two
Find the Density
<u>Formula</u>
Density = Population / Square Miles
Population = 814,000 people
Square miles = 76000
Solve
Density = 814000/76000 = 10.7 people per square mile.
Remark
Isn't that incredible. It means if all the Area of South Dakota were given to the people living there, each family of 4 would get roughly 1/2 a square mile.
<u>Answers</u>
19 fiction books
7 nonfiction books
<u>Explanation</u>
x + y = 26 ............................................. (i)
x – y = 12 ............................................ (ii)
Elliot added the two equations and the result was
2x = 38.
Dividing both sides by 2;
x = 19
There are 19 fiction books.
Substituting x in equation (i),
x + y = 26 when x = 19
19 + y = 26
y = 26 - 19
= 7
There are 7 nonfiction books
Answer:
Linear Function: Its graph has a constant slope (D).
Quadratic Function: Its graph is a parabola (B).
Inverse Variation Function: Its graph has both a horizontal asymptote and a vertical asymptote (F).
Square-root Function: Its graph has a closed endpoint (A).
Exponential Function: Its graph has a horizontal asymptote, but not a vertical asymptote (C).
Logarithmic Function: Its graph is a reflection of the graph of an exponential function in the line <em>y = x </em>(E).
(2x+3y)⁴
1) let 2x = a and 3y = b
(a+b)⁴ = a⁴ + a³b + a²b² + ab³ + b⁴
Now let's find the coefficient of each factor using Pascal Triangle
0 | 1
1 | 1 1
2 | 1 2 1
3 | 1 3 3 1
4 | 1 4 6 4 1
0,1,2,3,4,.. represent the exponents of binomials
Since our binomial has a 4th exponents, the coefficients are respectively:
(1)a⁴ + (4)a³b + (6)a²b² + (4)ab³ + (1)b⁴
Now replace a and b by their real values in (1):
2⁴x⁴ +(4)8x³(3y) + (6)(2²x²)(3²y²) + (4)(2x)(3³y³) + (1)(3⁴)(y⁴)
16x⁴ + 96x³y + 216x²y² + 216xy³ + 81y⁴
Karens possabilty is 15/50 chance
Makiah possability is 12/50 chance
Have a nice day
