Use the table to answer the question. Day of the Week Number of Children in the Car Sunday 2 Monday 4 Tuesday 4 Wednesday 3 Thursday 4 Friday 3 Saturday 0 Describe the meaning of the word function in math. Then consider the table. Why does this table show a function? (2 points) help meh!!

Answer 1

In mathematics, a function is a relation that assigns exactly one output (or value) for each input (or value) from a set, called the domain. Essentially, for every input, there is a unique output. This means that no two different inputs should provide the same output in a function's mapping.

Now, let’s consider the table you provided, which lists the days of the week and the corresponding number of children in a car for each day. This table shows a mathematical function because:

1. Unique Output: For each day of the week (the input), there is exactly one corresponding number of children (the output). For instance, on Sunday, there are 2 children; on Monday, there are 4 children, and so forth. No day has more than one number of children associated with it.

2. Defined Domain: The inputs (the days of the week) are clearly defined, and each day leads to a specific output (the number of children). There are no days missing from this list, and the relationship maintains the rule of one output per input.

Thus, since this table adheres to the definition of a function, it can be classified as such.

Answer 2

umm just give me the answer but make it shorter like very short

Answer 3

In math, a function is a relationship where each input has exactly one output. The table shows a function because each day of the week (input) has a unique number of children (output), with no duplicates.

Answer 4

Which of the following correctly used the Product Rule of Exponents to simplify the expression 1008⋅1007 ?(1 point) Responses 10,00015 10,000 superscript 15 baseline 10015 100 superscript 15 baseline 10056 100 superscript 56 baseline 20015

Answer 5

To simplify the expression \(1008 \cdot 1007\) using the Product Rule of Exponents, which states that \(a^m \cdot a^n = a^{m+n}\), we add the exponents.

Given:

• \(1008\) can be expressed as \(10^8\)
• \(1007\) can be expressed as \(10^7\)

Now applying the Product Rule: \[ 10^8 \cdot 10^7 = 10^{8+7} = 10^{15} \]

So the correct simplification is: \(10^{15}\) (equivalent to \(10,000^{15}\)).

If the choices are formatted correctly, the response would be \(10^{15}\). If represented with baseline, it would be \(10,000^{15}\). Therefore, the correct response is:

\(10^{15}\).

Answer 6

just choose one of the choices

Answer 7

The correct choice is \(100^{15}\).

Answer 8

Find the numerical equivalent of 102 ⋅103 (1 point) Responses 105 10 superscript 5 baseline 10 10 100,000 100,000 1,100

Answer 9

To find the numerical equivalent of \(10^2 \cdot 10^3\), we use the Product Rule of Exponents:

\[ 10^2 \cdot 10^3 = 10^{2+3} = 10^5 \]

Now, we can convert \(10^5\) into a numerical value:

\[ 10^5 = 100,000 \]

So, the correct response is 100,000.

Answer 10

Find the numerical equivalent of 25 ⋅2−2 (1 point) Responses 2 2 8 8 16 16 128

Answer 11

To find the numerical equivalent of \(25 \cdot 2^{-2}\), we first evaluate \(2^{-2}\):

\[ 2^{-2} = \frac{1}{2^2} = \frac{1}{4} \]

Now multiply that by 25:

\[ 25 \cdot 2^{-2} = 25 \cdot \frac{1}{4} = \frac{25}{4} = 6.25 \]

Since this result doesn't match any of the provided responses directly, we can double-check if we have misunderstood the expression.

However, none of the response options (2, 8, 16, 128) match \(6.25\). Please verify the expression provided or the options.