Answer:
2√3
Step-by-step explanation:
To rationalize, we multiply the denominator and numerator by the surd at the base
We have it that;
6/√3 * 1
= 6/√3 * √3/√3
= 6 √3/3 = 2√(3
Answer:
A. 
Step-by-step explanation:
We have the expression
![log_{3} (\sqrt[5]{x} *y)](https://tex.z-dn.net/?f=log_%7B3%7D%20%28%5Csqrt%5B5%5D%7Bx%7D%20%2Ay%29)
As these two values are being multiplied, we can separate the two and the sum of them will be equal to the multiplied version
![log_{3}\sqrt[5]{x} +log_{3}y](https://tex.z-dn.net/?f=log_%7B3%7D%5Csqrt%5B5%5D%7Bx%7D%20%2Blog_%7B3%7Dy)
The ![\sqrt[5]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%7D)
can be rewritten as 
. This allows us to use the exponent rule. This means that it can be written as
Answer: The area of the regions covered by grass is approximately 313.375 sq ft.
Step-by-step explanation:
Given: A company is building a new park in the shape of a circle with a 25 ft diameter.
Then radius = 
Required area = Area of circle - Area of rectangle + Area of triangle
Formula: Area of circle = 
Area of rectangle = length x width
Area of triangle = 0.5 x base x height
Area of circle = 
Area of rectangle = 20 ft x 10ft = 200 ft²
Area of triangle = 0.5 x 7 x 6.5 = 22.75 ft²
Required area = 490.625 -200+22.75 = 313.375 ft²
Hence, The area of the regions covered by grass is approximately 313.375 sq ft.
1. We use the recursive formula to make the table of values:
f(1) = 35
f(2) = f(1) + f(2-1) = f(1) + f(1) = 35 + 35 = 70
f(3) = f(1) + f(3-1) = f(1) + f(2) = 35 + 70 = 105
f(4) = f(1) + f(4-1) = f(1) + f(3) = 35 + 105 = 140
f(5) = f(1) + f(5-1) = f(1) + f(4) = 35 + 140 = 175
2. We observe that the pattern is that for each increase of n by 1, the value of f(n) increases by 35. The explicit equation would be that f(n) = 35n. This fits with the description that Bill saves up $35 each week, thus meaning that he adds $35 to the previous week's value.
3. Therefore, the value of f(40) = 35*40 = 1400. This is easier than having to calculate each value from f(1) up to f(39) individually. The answer of 1400 means that Bill will have saved up $1400 after 40 weeks.
4. For the sequence of 5, 6, 8, 11, 15, 20, 26, 33, 41...
The first-order differences between each pair of terms is: 1, 2, 3, 4, 5, 6, 7, 8...since these differences form a linear equation, this sequence can be expressed as a quadratic equation. Since quadratics are functions (they do not have repeating values of the x-coordinate), therefore, this sequence can also be considered a function.
Find out the number of 5% from its original total of 1080 workers.
1080×5%=54
Then,find the total of the employees.
1080+54=1134
So,the new number of employees is 1134.
