Answer:
512
Step-by-step explanation:
8³ is the same as saying 8×8×8
8×8×8= 512
Hope that helps!
Answer: 997/1000
Step-by-step explanation: on removing the decimal the number of digits after decimal points comes in the numerator
hence 0.997=997/1000
The function in terms of the time (t) is t=d/r and the value of the time (t) for the given values is 5.
<h3>Linear Function</h3>
An equation can be represented by a linear function. The standard form for the linear equation is: ax+b , for example, y=2x+7. Where:
a= the slope
b=constant term that represents the y-intercept.
For the given example: a=2 and b=7.
In the exercise is asked the equation for the time (t) in the function of the distance (d) and the rate (r).
Thus, if d=rt, we will have t= d/r
Replacing the variables for the given values for finding t. The question gives:
distance (d) =40
rate (r) = 8
Thus, you will have t= 40/8. Then, t=5
Therefore, the answer is the fourth option.
Read more about the linear equations here:
brainly.com/question/2030026
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Answer:
L: (15+6x) W: 2
L: (10+4x) W: 3
L: (5+2x) W: 6
Step-by-step explanation:
We don't have any numbers here to do calculations, so probably this is just an exercise in FACTORING. Also to practice that area is length times width.
The area given,
30 + 12x
can be factored several ways to be able to fill in the table.
This kind of factoring is like "un-distributive property" where a common factor can be factored out of the expression. Usually its helpful to factor out the greatest common factor (GCF) but in this case any common factor will do.
Also, unless there are more directions, either factor may be the length or the width.
2(15+6x)
3(10+4x)
6(5+2x)
The restrictions on the variable of the given rational fraction is y ≠ 0.
<h3>The types of numbers.</h3>
In Mathematics, there are six (6) common types of numbers and these include the following:
- <u>Natural (counting) numbers:</u> these include 1, 2, 3, 4, 5, 6, .....114, ....560.
- <u>Whole numbers:</u> these comprises all natural numbers and 0.
- <u>Integers:</u> these are whole numbers that may either be positive, negative, or zero such as ....-560, ...... -114, ..... -4, -3, -2, -1, 0, 1, 2, 3, 4, .....114, ....560.
- <u>Irrational numbers:</u> these comprises non-terminating or non-repeating decimals.
- <u>Real numbers:</u> these comprises both rational numbers and irrational numbers.
- <u>Rational numbers:</u> these comprises fractions, integers, and terminating (repeating) decimals such as ....-560, ...... -114, ..... -4, -3, -2, -1, -1/2, 0, 1, 1/2, 2, 3, 4, .....114, ....560.
This ultimately implies that, a rational fraction simply comprises a real number and it can be defined as a quotient which consist of two integers x and y.
<h3>What are
restrictions?</h3>
In Mathematics, restrictions can be defined as all the real numbers that are not part of the domain because they produces a value of 0 in the denominator of a rational fraction.
In order to determine the restrictions for this rational fraction, we would equate the denominator to 0 and then solve:
23/7y;
7y = 0
y = 0/7
y ≠ 0.
Read more on restrictions here: brainly.com/question/10957518
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Complete Question:
State any restrictions on the variables 23/7y
