Answer:
a . x = 512
b. x^1/2•y•z^5/4
Step-by-step explanation:
a. Here in this question, we want to find the value of x, given the equation.
x^2/3 = 64
Now, to find the value of x, we shall raising both powers to the reciprocal of 2/3
When we talk of reciprocal, we mean a number such that when we multiply this number by that particular number, our result is 1.
So for 2/3, the reciprocal is 3/2
So let’s raise the power of both sides to 3/2
Thus;
x^2/3(3/2) = 64^3/2
Kindly recall that 2/3(3/2) = 2/3 * 3/2 = 1
Thus ;
x = 64^3/2
So what this mean is that we will find the square root of 64 and cube our answer.
Thus;
x = {√(64)}^3
x = 8^3
x = 512
b. According to laws of indices, kindly note that
b√(a) = a^1/b
Thus;
4 √(x^2•y^4•z^5) = (x^2•y^4•z^5)^1/4
So what we do is to multiply each of the powers in the bracket by 1/4
Thus, we have the following;
x^2(1/4) • y^4(1/4) • z^5(1/4)
= x^1/2•y•z^5/4
where • simply refers to multiplication between the terms
Answer:
One example is the equation:
2x + 6 = 4x/2 + 12/2
To solve this, we need to transpose like terms to the same side.
2x - 4x/2 = 12/2 - 6
2x - 2x = 6 - 6
0 = 0
Since both sides are zero, it means that the equation has infinite number of solutions.
Step-by-step explanation:
Answer:
1.5 acres per hours
Step-by-step explanation:
.75 is half an hour so just double the .75 to get the rate of an hour
Answer:
20,304
Step-by-step explanation:
We are given the information that the population of 24,598 is declining at a rate of 1.9% per year. We need to figure out the population estimate in 10 years from now. To do that, we can use a general decline formula as shown below:
<em>A = total amount</em>
<em>P = original amount</em>
<em>r = growth rate (decimal)</em>
<em>t = years </em>
<u>Before we plug in the values, don't forget to change 1.9% to its decimal form.</u>
1.9% -> -> 0.019
Now, lets plug in the values:
The population after 10 years will be 20,304.