Can someone explain a justification of each step? I was absent for a while so I'm behind. Thank you.

Final answer:

Any non-zero number raised to the power of zero is equal to 1, so [tex](-34.67)^0[/tex] simplifies to 1.

Explanation:

The question asks us to simplify  [tex](-34.67)^0[/tex]. In mathematics, any non-zero number raised to the power of zero is equal to 1. This rule is known as the zero exponent rule and is an important concept in algebra.

Applying this rule to the given expression, regardless of the value of −(34.67), the whole expression to the power of zero will simply be:

[tex](-34.67)^0[/tex] = 1

From a more abstract perspective, raising a number to the power of 0 can be seen as a special case of exponentiation that preserves the multiplicative identity. In other words, it serves as the identity element for multiplication in the set of non-zero real numbers. This property is consistent with the general pattern observed in exponentiation, where raising a number to different powers yields specific results based on mathematical principles and definitions.

The correct scientific notation is 3.762x10⁻⁷.

In scientific notation, a number is made up of a coefficient  and an exponent.

Given that  (4.18x10⁻⁴)(9x10⁻⁴).

4.18x9=37.62

10⁻⁴x10⁻⁴=10⁻⁸

So, the answer is 37.62x10⁻⁸. To obtain scientific notation the decimal moves to the left which gives 3.762x10⁻⁷.

Hence, 3.762x10⁻⁷ is the correct scientific notation.

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There are 1 whole 5/9 and 4/5 from 5/9 or 1.8 or 9/5 lots in 1

To determine how many 5/9s are in 1, we can follow these steps:

Write down the equation:

[tex]x*\frac{5}{9} = 1[/tex]

Solve for x. Multiply both sides of the equation by the reciprocal of 5/9, which is 9/5, we get

[tex]x \cdot \frac{5}{9} \cdot \frac{9}{5} = 1 \cdot \frac{9}{5}[/tex]

[tex]x = \frac{9}{5}[/tex]

Express 9/5 as a mixed number:

Divide 9 by 5: [tex]9 \div 5 = 1[/tex] with a remainder of 4

Therefore, [tex]\frac{9}{5} = 1 \frac{4}{5}[/tex]

So, there is 1 whole 5/9 and 4/5 from 5/9 or 1.8 or 9/5 lots in 1

Answer:

A : 16. B:8 C : 16 d: 8

To find the total grams of fat in 3.75 servings of Apple crisp oatmeal, multiply the fat per serving (2.5 grams) by the number of servings, resulting in 9.375 grams of fat.

To calculate the number of grams of fat in 3.75 servings of Apple crisp oatmeal, we can multiply the amount of fat in one serving by the number of servings. Given that one serving contains 2.5 grams of fat, we would perform the following calculation:

2.5 grams of fat/serving times 3.75 servings = 9.375 grams of fat

Therefore, there are 9.375 grams of fat in 3.75 servings of Apple crisp oatmeal. The nutrition label helps us understand the nutritional content of food, like the breakdown of macronutrients such as fats, carbohydrates, and proteins, as well as the caloric content of these macronutrients.

The coordinate of the A' and B' after 270 degrees counterclockwise will be (3, -1) and (3, -5), and it is shown below.

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

The line segment is rotated 270 degrees counterclockwise about the origin to form A'B'.

The coordinate of the A' and B' after 270 degrees counterclockwise will be (3, -1) and (3, -5), and it is shown below.

More about the transformation of a point link is given below.

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16% = 0.16

1/6 = 0.16666

1.6x10^6 = 1600000

0.166 = 0.166

order from greatest to least:

1.6x10^6, 1/6, 0.166, 16%

Answer is D

To solve the expression 4x+y2y−x, we substitute the values x=2 and y=4, obtaining the result 262.

The question asks what is the value of the mathematical expression 4x+y2y−x when x = 2 and y = 4. To solve this, we first substitute the given values of x and y into the expression. The expression becomes 4*2 + 4²*4 - 2 = 8 + 64 *4 - 2 = 8 + 256 - 2 = 262. Therefore, the value of the expression when x = 2 and y = 4 is 262.

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Answer:

John will get 12, Walt, Matt, and Richie will get 4 each.

Step-by-step explanation:

Half of 24 is 12 and  12÷3=4

The expression with required parentheses symbols is (5+4)×2+6-(2×2)-1 which has a value of 19.

Expressions are mathematical statements with a minimum of two terms containing variables or numbers.

We have been the given expression as

⇒ 5+4×2+6-2×2-1

We have to insert parentheses in the given expression so that it has a value of 19.

Here 5+4 = 9

Using parentheses symbols in (5+4) pairs to group

And multiply by 2 to get 18

After adding 6, we get 24

Here subtract (2×2) = 4 to get 20

Using parentheses symbols in (2×2) pairs to group

And then minus 1

⇒ (5+4)×2+6-(2×2)-1 = 19

Therefore, the expression with required parentheses symbols is (5+4)×2+6-(2×2)-1 which has a value of 19.

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Answer:

[tex]27\frac{7}{9}\approx 27[/tex] pipes.

Step-by-step explanation:

We have been given that a plumber has a 50 foot piece of PVC pipe. We are asked to find the number of 9/5 foot pieces of pipes that could be cut from the 50 foot piece.

To find the number of 9/5 foot pieces of pipes, we will divide total length of PVC pipe by 9/5 foot.

[tex]\text{Number of 9/5 foot pieces of pipes}=50\div \frac{9}{5}[/tex]

Convert to multiplication problem:

[tex]\text{Number of 9/5 foot pieces of pipes}=50\times \frac{5}{9}[/tex]

[tex]\text{Number of 9/5 foot pieces of pipes}=\frac{250}{9}[/tex]

[tex]\text{Number of 9/5 foot pieces of pipes}=27\frac{7}{9}[/tex]

[tex]\text{Number of 9/5 foot pieces of pipes}\approx 27[/tex]

Therefore, the plumber can make [tex]27\frac{7}{9}\approx 27[/tex] pipes.

28 of the  [tex]\frac{9}{5}[/tex] foot pieces can be cut from the 50 foot piece.

Given the following data;

In this exercise, you're required how many  [tex]\frac{9}{5}[/tex] foot pieces can be cut from the 50 foot piece. To do this we would divide the 50 foot piece of PVC pipe by [tex]\frac{9}{5}[/tex].

[tex]50[/tex] ÷ [tex]\frac{9}{5}[/tex] = [tex]\frac{50}{\frac{9}{5}}[/tex]

Simplifying the equation, we have;

[tex]\frac{50 \;X \;5}{9}[/tex]

[tex]\frac{250}{9}[/tex]

Number of pipes = 27.77 ≈ 28 pipes.

Therefore, 28 of the  [tex]\frac{9}{5}[/tex] foot pieces can be cut from the 50 foot piece.

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Answer:

The answer is 27 miles in the morning and 85 miles in the afternoon.

Step-by-step explanation:

So first you have to set up an equation.

X represents: the number of miles they rode in the morning.  

3X + 4 represents: 4 more than 3 times this many in the afternoon

3X+4 + X = 112 represents: adding the morning miles and the afternoon miles together to get the total trip of 112 miles

Your equation to solve  3X+4+X =112

Now you can solve the equation

3X+4+X =112

Combine like terms (x's)

3X + X = 4X

4X+4=112

Subtract 4 from each side:

4X+ 4 - 4= 112-4

4-4 = 0 and 112-4 = 108

4X = 108

Divide both sides by 4

4X/4 = 108/4

4/4 = 1X and 104/4 = 27

X = 27

Remember X represents the number of miles they rode in the morning, so they rode 27 miles in the morning.  

Remember 3X+4 represents the number of miles they rode in the afternoon.

3X+4 =  

3(27)+4 =  

81+4 =  

85 miles.

That means in the afternoon, they rode 85 Miles