$\bf \sqrt[3]{27a^3b^7}\quad 
\begin{cases}
27=3\cdot 3\cdot 3\\
\qquad 3^3\\
b^7=b^{3+3+1}\\
\qquad b^3b^3b^1\\
\qquad (b^2)^3b^1
\end{cases}\implies \sqrt[3]{3^3a^3(b^2)^3b^1}
\\\\\\
3ab^2\sqrt[3]{b^1}\implies 3ab^2\sqrt[3]{b}$

4 0

3 years ago

Read 2 more answers

Smith has a dairy farm in which the number of cows increases at the rate of 5% per annum which results in the increase in the pr

marshall27 [118]

Answer:

d. 194481

Step-by-step explanation:

We solve this question using exponential growth rate formula

This is given as:

y = a(1 + r) ^t

Where y = Amount after time t

a = Initial amount = 160000

r = growth or increase rate = 5% = 0.05

t = time in years = 4

y = 160000(1 + 0.05)⁴

y = 160000(1.05)⁴

y = 194481

Therefore, the number of cows needed after 4 years to fulfill the requirement of the milk is 194481

7 0

2 years ago

Harlp needed ok thanks dudes

Ivanshal [37]

Solution:

A few definitions...

Rational number - Any integer, fraction, terminating decimal, or repeating decimal is classified as a rational number
Irrational number - All the real numbers which are not rational numbers.

Option A - Rational or Irrational?

1/2 + 1/3

Since both are known as fractions, they are rational numbers.

Option B - Rational or Irrational?

√2 + 5/2

√2 is classified as an Irrational number because if it is simplified, it does not result in any integer, fraction, terminating decimal, or repeating decimal.

Option C - Rational or Irrational?

1/√4 + 7/2
=> 1/2 + 7/2
=> 8/2 = 4

Since this is an integer, this is rational.

Option D - Rational or Irrational?

√9 + √4
=> √3 x 3 + √2 x 2
=> 3 + 2 = 5

Since this is an integer, this is rational.

In conclusion...

Option B is correct.

8 0

2 years ago