Sqrt(15)/5 *sqrt(20)

Answers

Answer 1
Answer: so if you mean: ( √(15) )/(5) times √(20) then
simplify
rememeber
x^{ (m)/(n) }= \sqrt[n]{ x^(m) }
and
[x^(n)]^(m)= x^(nm)
and
√(x)  √(y)= √(xy)

multiply

( √(15) )/(5) times ( √(20) )/(1)=( √(300))/(5)

simplify √300
√300=√3 times √100
we know that √100=10 so
√300=√3 times 10
therefor
( √(300) )/(5) = (10√(3))/(5)= (5)/(5) times  (2√(3))/(1) = 1 times (2√(3))/(1)=2√3










Answer 2
Answer: So,

( √(15))/(5) *  √(20)

Simplify the square root of 20.
√(20) =  √(4) *   √(5) = 2 *  √(5) = 2 √(5)

( √(15))/(5) *   ( 2√(5) )/(1)

Multiply.
( 2√(75))/(5)

Simplify.
( 2√(25)*  √(3) )/(5)
( 2 * 5*  √(3) )/(5)
(10√(3) )/(5)
(2√(3) )/(1)
2√(3)

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Find the average range. Round the mean and the average range to the nearest tenth. (Show all your work on scratch paper, then enter your answers below.) 3, 12, 15, 25, 30, 40

Answers

3, 12, 15, 25, 30, 40The range is the difference between the greatest and smallest values:
range = 40 - 3 = 37

Thee average is the sum of elements divided by the number of elements:
average = (3 + 12 + 15 + 25 + 30 + 40)/6
average = 125/6 = 20.83

Please help! Find the x-intercepts of the parabola with vertex (-4, 2) and y-intercept (0, -30). Write your answer in this form: (x1, y1), (x2, y2). If necessary, round your answer to the nearest hundredth.

Answers

x1-y1
x2-y2

-4-3
0+30

-6
30


the answer would be -0.2

Rewrite using a negative exponent.

5/x^2

Answers

13.591409x3 i believe hope it heloped

Determine the domain of the function.

Answers

\left\{\begin{array}{ccc}x+4\geq0&(1)\n(x+2)(x-5)\neq0&(2)\end{array}\right\n\n(1)\ x+4\geq0\ \ \ |-4\nx\geq-4\to x\in\left\ \textless \ -4;\ \infty\right)\n\n(2)\ (x+2)(x-5)\neq0\iff x+2\neq0\ \wedge\ x-5\neq0\n\nx\neq-2\ \wedge\ x\neq5\n\n\text{The domain:}\n\nx\geq-4\ \wedge\ x\neq-2\ \wedge\ x\neq5\n\nx\in\left\ \textless \ -4;\ -2\right)\ \cup\ (-2;\ 5)\ \cup\ (5;\ \infty)

Factorize : a2 + b2 _ 2(ab - ac + bc ).

Answers

(a² + b² - 2ab)  + 2ac - 2bc = (a - b)² + 2c(a-b) = (a-b)(a-b +2c)

Simplify 4 to the seventh power over 5 squared all raised to the third power.

Answers

The expression (4^7/5^2)^3 can be simplify as 4^21/5^6 and it is equal to 281,4774,976.70. This is computed using the rule of simplifying exponential terms. It states that when an exponential term is raised to another power the powers must be multiplied.