Carlos is using the distributive property to evaluate the expression 14(49) by using friendlier numbers. His work is shown below.<br /><br />
Carlos’s Work<br /><br /><br /><br /><br />
14(49) <br /><br /><br />
Step 1 <br /><br />
14(40 + 9) <br /><br /><br />
Step 2 <br /><br />
14(40) + 9 <br /><br /><br />
Step 3 <br /><br />
560 + 9 <br /><br /><br />
Step 4 <br /><br />
569 <br /><br /><br /><br />
What was the .

Answer:

[tex]\frac{1^2}{13^2}=(\frac{1}{13})^{2}[/tex]

Step-by-step explanation:

We have been given an equation [tex]\frac{1}{169}=(\frac{1}{13})^{*}[/tex]. We are asked to write the missing exponent for our given equation.

We can see that 169 is square of 13, so we can write left side of our equation as:

[tex]\frac{1}{13^2}=(\frac{1}{13})^{*}[/tex]

We can raise 1 to any power and answer will be same.

Raising 1 to 2nd power, we will get:

[tex]\frac{1^2}{13^2}=(\frac{1}{13})^{*}[/tex]

Since both numerator and denominator is raised to 2nd power, so we can raise [tex](\frac{1}{13})[/tex] to 2nd power as:

[tex]\frac{1^2}{13^2}=(\frac{1}{13})^{2}[/tex]

Therefore, our missing exponent is 2.

The quantity of sugar one can hold is 2.4 tons.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, a shipment of 8 tons of sugar is separated into containers of equal size.

The shipment fills [tex]3\frac{1}{3}[/tex]= 10/3 containers

Quantity of sugar one can hold is

8 ÷ 10/3

= 8× 3/10

= 24/10

= 2.4 tons

Therefore, the quantity of sugar one can hold is 2.4 tons.

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According to Krystal's map scale, the distance between Greenville and North Valley is 72 miles.

To find the distance between Greenville and North Valley using Krystal's map scale of 1 inch = 18 miles, you need to determine the distance represented by the two locations on the map and then convert it to real-world miles.

First, measure the distance between Greenville and North Valley on the map. Let's say it's 4 inches.

Now, multiply the measured distance on the map by the scale factor:

4 inches * 18 miles/inch = 72 miles.

Thus, according to Krystal's map scale, the distance between Greenville and North Valley is 72 miles.

This means that in reality, Greenville and North Valley are 72 miles apart.

This calculation is based on the given scale and assumes that the map accurately represents the geographical locations of Greenville and North Valley.

Always consider real-world conditions and factors like road layouts when planning actual travel.

To determine the number of red tiles in Quincy's mosaic project, the percentage of blue and white tiles were converted to actual numbers and subtracted from the total. This calculation revealed that there are 144 red tiles.

Quincy is using 320 pieces of stone tile to make a mosaic.

It is given that 20% of the pieces are blue, and 35% are white. To find out how many tiles are red, we start by calculating the number of blue and white tiles:

Adding the blue and white tiles together gives us 64 + 112 = 176 tiles.

Since the total number of tiles is 320, the number of red tiles will be the remaining tiles after subtracting the blue and white tiles:

Red tiles = Total tiles - (Blue tiles + White tiles) = 320 - 176 = 144 red tiles.

Therefore, 144 pieces of stone tile are red in Quincy's mosaic project.

The given numbers include both decimal and fraction values, specifically -0.22, -1.4, 1.4, and 1/5 (equivalent to 0.2).

The given numbers are 1/5, -0.22, -1.4, and 1.4. These numbers represent a set of decimal and fraction values.

Decimal Numbers: -0.22, -1.4, and 1.4

Fraction Number: 1/5 (which is equivalent to 0.2)

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The numbers that have an absolute value of 9 are 9 and -9.

In general, the absolute value of a positive number x is |x| = x, and the absolute value of a negative number -x is |x| = -(-x) = x.

So, for any number x or -x where x ≠ 0, its absolute value is always positive and equal to the positive value of "x."

The absolute value of a number is the distance of that number from zero on the number line.

Since both 9 and -9 are 9 units away from zero, their absolute values are both 9.

Hence, the numbers are 9 and -9.

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Answer:

I took the test and they got it right, "equal to" is the correct answer.

The y-intercept of the function y = 2x + 1 is equal to the y-intercept of the function represented in the graph.

From the given graph: the y-intercept is = 1.

To find the y-intercept of y=2x+1 we compare it with y=mx+b.

So, b=y-intercept=1.

Both y-intercepts are 1.

It means the y-intercept of the function y = 2x + 1 is equal to the y-intercept of the function represented in the graph.

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Out of means you divide

Answer:

$23

Step-by-step explanation:

i did the thingy

The first graph and the third graph are both increasing, those are your correct answers.

Considering the definition of prime number, prime factorization and a property of the potentiation, this factorization is not a prime factorization. The prime factorization is expressed as: 2⁵× 3× 5⁴× 11²

In the first place, a prime number is a natural number greater than 1 that has only two different divisors: itself and 1. That is, a prime number is an integer greater than 1 that is only divided exactly by 1 and itself .

On the other side, the "factors" are the numbers that you multiply together to get another number.

So "factoring into primes" is figuring out what prime numbers you have to multiply together to get the original number.

That is, factoring in prime numbers is writing any number as the multiplication of prime numbers, regardless of the order of the factors.

In this case, you have the factorization: 2²× 3× 5⁴× 8× 11²

This factorization is not a prime factorization. 2,3,5 and 11 are prime numbers, but 8 is not a prime number. This last number can be factored as:

8= 2³

Then, the factorization is expressed as: 2²× 3× 5⁴× 2³× 11²

A property of the potentiation expresses that the product of powers of equal base results in the same base raised to the sum of the exponents of each factor. In this case, 2² and 2³ are two powers with the same base, so the power is expressed as:

2²× 2³= 2²⁺³= 2⁵

Finally, the prime factorization is expressed as: 2⁵× 3× 5⁴× 11²

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The given number is not in prime factorization due to the presence of '8'. The correct prime factorization is '2^5 X 3 X 5^4 X 11^2'.

The number given in the question is not expressed in its prime factorization due to the presence of '8' which is composite number and can be broken down further. In fact, the number '8' can be represented as '2^3'. So, if we modify this in the original expression, it would change to 2^2 X 3 X 5^4 X 2^3 X 11^2. Simplifying this, we get 2^5 X 3 X 5^4 X 11^2, which is the correct prime factorization. A prime factorization only includes prime numbers, which are numbers that have exactly two distinct positive divisors: 1 and the number itself.

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The correct answer for the meaning of (2,40) is they represents the coordinates of a point on x-y plane.

What are Co-ordinates?

Coordinates are sets of values used to represent the position or location of a point in a given space.

The number of values in a coordinate set depends on the dimensionality of the space being considered.

In two-dimensional space (2D), coordinates typically consist of two values, often denoted as (x, y).

Given points:

(2,40)

X-coordinate = 2

y-coordinate =40

The correct answer is (2,40) represents X and Y coordinate on a 2D plane.

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