What is 11/12 plus -7/12 equal in a fraction?

Alicia’s gross monthly pay is $1,700. Alicia pays 10.5% of her monthly income in federal withholding. How much federal withholdi

kotegsom [21]

I say the answer is C

7 0

3 years ago

Which of the following is equal to the opposite of −45? −(−45) −45 −|−45| −|45|

mel-nik [20]

Answer:

-(-45) and -|45|

Step-by-step explanation:

Opposite of a number can also me termed the conjugate of such number. For example, the conjugate (opposite) of a is -a.

Also any value in the modulus sign can either be a negative or positive value. For example |a| can be +a or -a.

According to the question, we are to find the numbers that are equivalent to opposite of -45 i.e which of them are conjugate of -45.

To do this, we are to select the values in the options that will return +45.

Let's look at each option.

For -(-45):

Since the product of two negative sign will give a positive(+), then -(-45) = +45 and hence the value is opposite of -45

For -45:

-45 is a negative value and can never be positive since 45 is not inside a modulus sign. Hence, -45 is not equal to opposite of -45.

For −|−45|, |-45| can only return a positive value since -45 is already in a modulus sign. What the modulus sign will do is convert it to positive value i.e |-45| = 45. Hence -|-45| ≈ -(45) which is not also equivalent to the opposite of-45.

For -|45|:

The value inside modules will return both +45 and -45, hence it can be written as -|45| = -(-45) = +45. This shows that -|45| is also equivalent to the opposite of -45.

4 0

3 years ago

Draw a number line and show all numbers that are 2/3 of a unit to the left of 1/2

zubka84 [21]

Answer:

See below.

Step-by-step explanation:

Draw a number line and draw points corresponding to -1, 0, and 1.

Mark 6 equal divisions between -1 and 0. Mark 6 equal divisions between 0 and 1.

Now you have the units between 1 and 0 and between 0 and -1 divided into sixths.

Now look at the point that corresponds to 1/2. It is the middle one-sixth mark between 0 and 1. Start there. That is 3/6 which is the same as 1/2.

You need to go 2/3 of a units to the left of 1/2.

2/3 = 4/6, so starting at 1/2, go 4 one-sixth marks to the left.

Now you are 2/3 unit to the left of 1/2.

See the number line below.

-1 0 1

<----+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+------>

Start with a mark on 1/2, S in bold below.

-1 0 1/2 1

<----+---+---+---+---+---+---+---+---+---+---+---S---+---+---+---+---+------>

Now go 2/3 unit to left. 2/3 = 4/6, so go 4 one-sixth divisions to the left.

The point labeled with a bold E is the result. It is -1/6

-1 -1/6 0 1/2 1

<----+---+---+---+---+---+---+---E---+---+---+---S---+---+---+---+---+------>

8 0

3 years ago

Given a cube with a volume of 27 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube?

Artist 52 [7]

It's nine. You rom FLVS too?

6 0

3 years ago

Read 2 more answers

Explain, in writing, what each parameter in the given function has on the graph of its parent function. (4 Points) () = −cos(1/2

Andrew [12]

Answer:

The parameters in the parent function are:

the parameter correspondig to - 3 in the given function is 0 in the parent function.
the parameter corresponding to 1/2 in the given function is 1 in the parent function, and
the parameter corresponding to - 1 in the given function is 1 in the parent function.

Explanation:

The given function is $f(x)=-cos(x/2)-3$ .

The parent function of $f(x)=-cos(x/2-3)\text{ }is\text{ }h(x)=cosx$ . The parameters of the given function are -1 (which is mutlyplying the value of cosine, 1/2 which is multiplying the argument (x), and - 3 which is subtracted.

In the parent function, those values are 1, 1, and 0.

It may help you representing the parameters in the given function with letters:

$y=A(Bx)-C$

Then, in the given function A = - 1, B = 1/2, and C = -3.

Now, you can write the parent function:

$y=1.cos(1.x)+0$

Then, the parameters are A = - 1, B = 1, and C = 0.

3 0

3 years ago