Answer:
### What is Fraction?

The **fraction **is **closer **to 1/2 than to 0 or 1 is 8/12.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

- The
**number**of**parts**into which the**whole**has been**divided**is shown by the**denominator**. It is positioned in the fraction's lower portion, below the fractional bar. - How many
**sections**of the**fraction**are displayed or**chosen**is shown in the**numerator**. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

**First **Fraction

2/12 = 1/6 = 0.1667

**Second **Fraction

3/12

= 0.25

**Third **Fraction

8/12

= 0.6667

**Fourth **Fraction

10/12

= 0.83333

So, Fraction **closer **to 1/2 or 0.5 is 8/12.

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Answer:

In this situation I would convert the 1/2 into a fraction that has a common denominator. 1/2 will now be 6/12.

I think the best answer here is 8/12 because 6/12 is only two lines away from 8/12 where as everything else is either closer to 1 or 0.

I hope this helps. Good luck.

What is the answer for this please help

In a city known for many tech start-ups, 311 of 800 randomly selected college graduates with outstanding student loans currently owe more than $50,000. In another city known for biotech firms, 334 of 800 randomly selected college graduates with outstanding student loans currently owe more than $50,000. Perform a two-proportion hypothesis test to determine whether there is a difference in the proportions of college graduates with outstanding student loans who currently owe more than $50,000 in these two cities. Use α=0.05. Assume that the samples are random and independent. Let the first city correspond to sample 1 and the second city correspond to sample 2. For this test: H0:p1=p2; Ha:p1≠p2, which is a two-tailed test. The test results are: z≈−1.17 , p-value is approximately 0.242

The length of a rectangle is 4 inches more than its width, and its perimeter is 34 inches. Find the length and width of the rectangle. If w= the width of the rectangle, then the length equals OW-4 OW-4 401

6x−5y=14Find xwhen y=2

What is the sum in simplest form?4 1/2 + 1 3/5

In a city known for many tech start-ups, 311 of 800 randomly selected college graduates with outstanding student loans currently owe more than $50,000. In another city known for biotech firms, 334 of 800 randomly selected college graduates with outstanding student loans currently owe more than $50,000. Perform a two-proportion hypothesis test to determine whether there is a difference in the proportions of college graduates with outstanding student loans who currently owe more than $50,000 in these two cities. Use α=0.05. Assume that the samples are random and independent. Let the first city correspond to sample 1 and the second city correspond to sample 2. For this test: H0:p1=p2; Ha:p1≠p2, which is a two-tailed test. The test results are: z≈−1.17 , p-value is approximately 0.242

The length of a rectangle is 4 inches more than its width, and its perimeter is 34 inches. Find the length and width of the rectangle. If w= the width of the rectangle, then the length equals OW-4 OW-4 401

6x−5y=14Find xwhen y=2

What is the sum in simplest form?4 1/2 + 1 3/5

5°, before they draw closer. They measure the angle of elevation a second time from

point B at some later time to be 21°. Find the distance from point A to point B.

Round your answer to the nearest tenth of a foot if necessary.

**Answer:**

**Step-by-step explanation:**

Assuming a flat earth

initial measurement

tan5 = 131 / d₁

d₁ = 131/tan5 = 1,497.3368... ft

d₂ = 131/tan21 = 341.2666674...ft

distance from A to B

1497.3368 - 341.26666 = **1,156.1 ft**

Rather daring to specify to the answer to the nearest tenth of a foot when no given measurement accuracy is even close to that same precision.

This is a trigonometry problem that can be solved by using the tangent function to find the distances from the boat to the lighthouse at two different angles of elevation, and then subtracting to find the distance travelled by the boat.

This question involves the concept of **trigonometry**, specifically **inverse trigonometric functions**. We can solve it by creating two right triangles and using the trigonometric function known as tangent. Due to the nature of the problem, we will consider the lighthouse as the opposite side while the distance from the boat to the lighthouse will serve as the adjacent side.

When the boat is at point A, we can write the following equation using the tangent of 5° - tan(5°) = 131/DistanceA. Solve this equation to find DistanceA.

Next, do the same when the boat is at point B. The equation for this scenario is - tan(21°) = 131/DistanceB. Resolve this equation to find DistanceB.

The distance from point A to B (which is what the question asks for) is just the difference between DistanceA and DistanceB. Make sure to take the absolute value to avoid a negative distance, and round the result to the nearest tenth of a foot if necessary.

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equation:

6x = -78

**Answer:**

**Step-by-step explanation:**

6x= -78 you just solve it algabraicly

6x= -78

/6x /6x

x= -13

**Answer:**

x = 13

**Step-by-step explanation:**

Divide both sides of the equation by the same term

6x/6 =78/6

Simplify

Cancel terms that are in both the numerator and denominator

6x/6=78/6

x=78/6

Divide

x=78/6

x=13

Hope this helps!

you graph will look something like this :)

Apply

6. Nadia is comparing costs for two brands of garden compost. For

Brand A, the cost y for x bags is shown in the table For Brand B,

the cost y can be represented by the equation y = 1,99%, where

x represents the number of bags, Which brand costs less for

6 bags of compost? How much less?

**Brand B** costs less for **6 packs** of **compost**. It costs $5.99 less.

To discover which brand **costs less** for **6 sacks** of **compost**, let's calculate the fetched of 6 packs of each brand:

Brand A:

6 sacks * $2.99/bag = $17.94

Brand B:

y = 1.99x

For 6 packs of compost, x = 6:

y = 1.99 * 6 = $11.94

In this manner, Brand B costs less for 6 sacks of compost, and it costs $5.99 less.

Brand B costs less for 6 packs of compost. It costs $5.99 less.

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**Answer:**

, where a be a constant.

**Step-by-step explanation:**

**Note:** The given functions is a constant function because variable term is missing.

Consider the given function is

where a be a constant.

We need to find the derivative of the function.

Differentiate with respect to x.

**Therefore, the derivative of the function is .**

Since each term of the series is 1.1 times the previous one, the series is geometric. The generic term of a geometric series is

The sum in sigma notation simply adds these terms. The leading factor of 100 can be factored out.

The sum can be found by adding the terms or by using the formula for the sum of a geometric series. In the latter case, we have

The series is divergent because the common ratio of terms is greater than 1. (Of course, any finite number of terms will have a finite sum.)

The sum in sigma notation simply adds these terms. The leading factor of 100 can be factored out.

The sum can be found by adding the terms or by using the formula for the sum of a geometric series. In the latter case, we have

The series is divergent because the common ratio of terms is greater than 1. (Of course, any finite number of terms will have a finite sum.)