Rational Numbers
It says that between any two real numbers, there is always another real number. Rational Numbers: Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions.
Using the volume of the rectangular prism, it is found that the three dispensers will take 1,344 in³ in Sid's refrigerator.
<h3>What is the volume of a rectangular prism?
</h3>
The volume of a rectangular prism of length l, width w and height h is given by the multiplication of these three dimensions, that is:
V = lwh.
In this problem, there are three dispensers, each with l = 4 in, h = 14 in, w = 8 in, hence the volume is given by:
V = 3 x 4 x 14 x 8 = 1,344 in³.
More can be learned about the volume of a rectangular prism at brainly.com/question/17223528
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Answer:
<h2><u>The amount paid to an employee was </u><u>
162</u></h2>
Step-by-step explanation:
<h2><u>The expression 12h + 30w Identifies the amount paid to an employee.</u></h2><h2><u>Let h represent hours and let w represent the total amount of g-wagons sold. </u></h2><h2><u>Since the question explains that an employee works 6 hours and sells 3 wagons, put h as h = 6 and w as w = 3. We would end up getting this equation. 12h + 30w = 12(6) + 30(3).</u></h2><h2><u>Now all you need to do is solve it.</u></h2><h2><u>left side = 72</u></h2><h2><u>right side = 90</u></h2><h2><u>
72 + 90 =</u><u> 162</u></h2>
<span>Discriminant is 28 (c)
First get the equation into the form: Ax^2 + Bx + C = 0 (the quadratic equation)..
By subtracting 10x both sides (to get it on the other side)..
9x^2 + 2 = 10x
9x^2 - 10x + 2 = 10x - 10x
9x^2 - 10x + 2 = 0
Now the discriminant is: b^2 - 4ac
The quadratic equation is Ax^2 + Bx + C = 0
Here, A = 9, B = -10 and C = 2
(-10)^2 - 4 (9)(2)
= 100 - 4 (18)
= 100 - 72
= 28</span>
Rewrite as an equation.<span><span><span>log3</span><span>(9)</span>=x</span><span><span>log3</span><span>(9)</span>=x</span></span>Rewrite <span><span><span>log3</span><span>(9)</span>=x</span><span><span>log3</span><span>(9)</span>=x</span></span> in exponential form using the definition of a logarithm. If <span>xx</span> and <span>bb</span> are positive real numbers and <span>bb</span> does not equal <span>11</span>, then <span><span><span>logb</span><span>(x)</span>=y</span><span><span>logb</span><span>(x)</span>=y</span></span> is equivalent to <span><span><span>by</span>=x</span><span><span>by</span>=x</span></span>.<span><span><span>3x</span>=9</span><span><span>3x</span>=9</span></span>Create equivalent expressions in the equation that all have equal bases.<span><span><span>3x</span>=<span>32</span></span><span><span>3x</span>=<span>32</span></span></span>Since the bases are the same, the two expressions are only equal if the exponents are also equal.<span><span>x=2</span><span>x=2</span></span>The variable <span>xx</span> is equal to <span>22</span>.<span>2</span>
