Point A is located at negative 4 over 6 and point B is located at negative 1 over 6. What is the distance between points A and B?

negative 4 over 6 minus negative 1 over 6 = negative 3 over 6; therefore, the distance from A to B is absolute value of negative 3 over 6 equals negative 3 over 6 units
negative 4 over 6 minus negative 1 over 6 = negative 3 over 6; therefore, the distance from A to B is absolute value of negative 3 over 6 equals 3 over 6 units
negative 4 over 6 plus negative 1 over 6 = negative 5 over 6; therefore, the distance from A to B is absolute value of negative 5 over 6 equals 5 over 6 units
negative 4 over 6 plus negative 1 over 6 = negative 5 over 6; therefore, the distance from A to B is absolute value of negative 5 over 6 equals negative 5 over 6 units

Answer:

C.

Step-by-step explanation:

y≥-3

{y:y=-3,-2,-1....}

y<0

{y:y=...-3,-2,-1}

When we see the above inequalities they both start from zero and then go toward the negative numbers.

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Let me know if there is an error in my answer!

Answer:

\(\dfrac 3{10}\)

Step-by-step explanation:

\(~~~~~~\dfrac 25 + x = \dfrac 7{10}\\\\\\\implies x = \dfrac 7{10} - \dfrac 25\\ \\\\\implies x = \dfrac 7{10} - \dfrac 4{10}\\\\\\\implies x = \dfrac{7-4}{10}\\\\\\\implies x = \dfrac 3{10}\)

Answer:

20

Step-by-step explanation:

Any number with a decimal of .50 is rounded up. Anything less is rounded down.

So, 19.65 is rounded up to 20.

5/6 - 1/9=?/? - ?/? = ?/? , value of each (?/?) is

5/6 -1/9 =15 /18 -2/18 =13 /18.

As given,

5/ 6 - 1/9 =?/? -?/? =?/?

Convert the given terms into like terms

Least common multiple of (6,9)=18

Value of each ( ?/?)

(5/6 ) × ( 3/3) -(1/9) × (2/2)

= 15 /18 - 2/18

= 13 /18

Therefore,5/6 - 1/9 = ?/? - ?/? = ?/? , value of each (?/?) is equal to

5/6 -1/9 = 15 /18 -2/18 = 13/18.

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Given:

To find:

The equivalent expression.

Explanation:

Using the log rule,

So, we write,

We know that,

Using this we get,

Therefore, the equivalent expressions are,

Final answer:

The correct options are A and D.

Answer:

A is the right answer

Step-by-step explanation:

theres no explanation needed i just know

Answer:

hello there I am from India!

a. Yes, we can conclude that average mpg differs between the hybrids since the p-value is less than the significance level. b. The output is incomplete and not entirely correct for determining which hybrids' means differ using Tukey's HSD method.

According to the given output, we conducted a one-way analysis of variance (ANOVA) experiment to compare the average miles per gallon (mpg) for three different hybrid cars: Algo Hybrid 1, Algo Hybrid 2, and Algo Hybrid 3. The experiment included 20 observations for Hybrid 1, 15 observations for Hybrid 2, and 18 observations for Hybrid 3.

a. To determine if the average mpg differs between the hybrids, we look at the p-value. The p-value is a measure of the strength of evidence against the null hypothesis (which states that there is no difference in average mpg between the hybrids). In this case, the p-value is less than the significance level of 0.05 (5%). Therefore, we can conclude that average mpg differs between the hybrids. The correct answer is: Yes, since the p-value is less than the significance level.

b. To determine which hybrids' means differ, we can use Tukey's HSD (Honestly Significant Difference) method. This method compares all possible pairs of hybrids and calculates the difference in their means. If the difference is larger than the critical value from the Tukey's HSD table, then we can conclude that the means are significantly different.

In this case, the output does not provide the exact values for Tukey's HSD, so we cannot determine the specific hybrids' means that differ. Therefore, the answer provided in the output is incomplete and not entirely correct. We would need more information or calculations to determine the specific hybrids' means that differ.

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Remember that the rule for a dilation by a factor of k about the origin is:

Identify the coordinates of the points W, X and Z. Then, apply a dilation by a factor of 3 about the origin to find W', X' and Z', the new coordinates after the dilation.

Apply a dilation by a factor of 3:

Therefore, the new coordinates would be:

Answer:

slope = 5/3

Step-by-step explanation:

(in case you need it in intercept form)

y = 5/3 + 1

Answer:

I think you need to add them.

Answer:

0.24

Step-by-step explanation:

Miles he drives: x

55.96+0.12x=49.96+0.16x

0.04x=6

x=0.24mi

For Trigonometric functions to work we need a hypotenuse, which we can only get in right triangles.

What are Trigonometric functions?

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.

Here,

We have to find out why trigonometric ratios are used only for right triangles.

We concluded that when we are dealing with triangles other than right triangles, the solution is to draw a perpendicular line to create right triangles. For Trigonometric functions to work we need a hypotenuse, which we can only get in right triangles.

Hence, for Trigonometric functions to work we need a hypotenuse, which we can only get in right triangles.

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The least number of people required for a 5% chance of having at least one shared birthday is 15.

To find the least number of people required to have a 5% chance that two of them share the same birthday, we'll use the Birthday Paradox formula:
P(at least 1 shared birthday) = 1 - P(no shared birthdays)
First, let's find the probability of no shared birthdays:
P(no shared birthdays) = (365/365) × (364/365) × (363/365) ×... × (365-n+1)/365
Here, n represents the number of people. Now, we want to find the least n such that:
P(at least 1 shared birthday) ≥ 0.05
Which means:
1 - P(no shared birthdays) ≥ 0.05
We can calculate the probability of no shared birthdays iteratively, starting with n = 2:
1. P(no shared birthdays) = (365/365) × (364/365) = 0.9973
2. P(at least 1 shared birthday) = 1 - 0.9973 = 0.0027
The probability is still less than 0.05, so we increase n to 3:
1. P(no shared birthdays) = (365/365) × (364/365) × (363/365) = 0.9918
2. P(at least 1 shared birthday) = 1 - 0.9918 = 0.0082
Continue this process, increasing n until the probability is greater than or equal to 0.05. After calculating, you'll find that the least number of people required is 14:
1. P(no shared birthdays) = (365/365) × (364/365) × ... × (352/365) ≈ 0.9511
2. P(at least 1 shared birthday) = 1 - 0.9511 ≈ 0.0489
When n = 15:
1. P(no shared birthdays) = (365/365) × (364/365) × ... × (351/365) ≈ 0.9431
2. P(at least 1 shared birthday) = 1 - 0.9431 ≈ 0.0569

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I believe she will have 8 rolls of toilet paper left after one year.

She started with 36, then gave away 4, so then she would have 32 left for herself, then she used 2 every month so if you deduct 2 rolls every month for 12 months she would use 24 in one year. So 32-24 is 8.

we can conclude the limit limx→1f(x) does not exist.

What do you mean by limit?

A limit is a mathematical notion that is founded on the idea of closeness. It is mostly used to give values to some functions at positions when none are defined in a way that is consistent with values close by.

According to the limit   limx→1−f(x)=3.

the value of 3 when we approach 1 from its left. In another hand this other limit   limx→1+f(x)=7  interpreted as the function approaches to 7 when we approach 1 from the right.

Finally, taking into account the one-sided limits are different, we can conclude the limit limx→1f(x) does not exist.

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Question:

Find the surface area of the following figure below. Use 3.14 for pi

Answer:

9

Step-by-step explanation:

The circle has the same value of the side which is 3 so the length and width is 3 too. So the formal is L x W = Area. So this means 3 x 3 = 9

The value of y in the expression 14 - y = b is y = 14 + b.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression 14 - y = b, Now solving for 'y' is the same as finding the value of y so we'll separate y on the LHS and all the other terms on RHS.

Therefore,

14 - y = b.

- y = b - 14.

- ( - y) = - (b - 14).

y = 14 + b.

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Explanation:

Vertical angles are always opposite one another, and they form after intersecting two lines. Vertical angles are always congruent (i.e. the same measure).

Answer:

A. True

B. True

C. False

D. True

Step-by-step explanation:

Answer:

Y'(-5, 5)

Step-by-step explanation:

To find the coordinates of Y' after the translation, we apply the given rule to the coordinates of point Y(-3, 4).

Using the translation rule (x, y) → (x - 2, y + 1), we can substitute the coordinates of Y(-3, 4) into the rule:

x' = x - 2 = -3 - 2 = -5

y' = y + 1 = 4 + 1 = 5

Therefore, the coordinates of Y' are (-5, 5).

Answer:

price of adult ticket=$8

price of child ticket=$14

Step-by-step explanation:

let number of adult tickets=x

child tickets=y

3x+1y=38

3x+2y=52

subtract first from second

y=52-38=14

from first

3x+14=38

3x=38-14=24

x=24/3=8

Hayato spent approximately 16,383.13 Japanese Yen. Rounded to the nearest yen, the answer is (d) 16384.

To find out how much Hayato spent in Japanese Yen, we need to multiply the amount he spent in USD by the exchange rate:

$203 * 80.71 = 16,383.13

So, Hayato spent approximately 16,383.13 Japanese Yen. Rounded to the nearest yen, the answer is (d) 16384.

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Using the given conditions that sin(20) = cos(2u) = tan(24) = 3, we can find the exact values of sin(2u), cos(2u), and tan(2u) using the double-angle formulas. By substituting the known values into the formulas, we can determine the exact values of these trigonometric functions.

Given sin(20) = 3, we can use the double-angle formula for sine to find sin(2u).

The double-angle formula for sine is sin(2u) = 2sin(u)cos(u). We know that sin(u) = -3/5, so we can substitute this value into the formula to calculate sin(2u).

Therefore, sin(2u) = 2(-3/5)(cos(u)).

Given cos(2u) = 3, we can use the double-angle formula for cosine to find cos(2u).

The double-angle formula for cosine is cos(2u) = cos^2(u) - sin^2(u). Since we already know sin(u) = -3/5 and cos(u) can be calculated using the Pythagorean identity (cos^2(u) = 1 - sin^2(u)), we can substitute these values into the formula to determine cos(2u).

Finally, given tan(24) = 3, we can use the double-angle formula for tangent to find tan(2u).

The double-angle formula for tangent is tan(2u) = (2tan(u))/(1 - tan^2(u)). By substituting the known value of tan(24) = 3 into the formula, we can calculate the exact value of tan(2u).

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The height in meters of a lava rock that falls for 5 seconds will be 122.5 meters.

The missing function is y = 1/2 gt².

A function is a remark, tenet, or regulation that establishes a relationship between the two parameters.

The height of lava fountains spewed from volcanoes cannot be measured directly.

Instead, their height in meters can be found using the equation is given as

y = 1/2 gt²

where y represents the height, g is 9.8, and t represents the falling time of the lava rocks.

Then the equation will be

y = 1/2 × 9.8 × t²

y = 4.9t²

Then the height in meters of a lava rock that falls for 5 seconds will be

y = 4.9 x 5²

y = 122.5 meters

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There are 84 ways to select 3 lemon drops from the bag.

To arrive at this answer, we can use the combination formula:

nCr = n! / r! (n-r)!

Where n is the total number of items in the bag (15), r is the number of items we want to select (3), and ! represents factorial (the product of all positive integers up to that number).

So, to find the number of ways to select 3 lemon drops, we plug in n=9 and r=3:

9C3 = 9! / 3!(9-3)!
= (9 x 8 x 7) / (3 x 2 x 1)
= 84

Therefore, there are 84 ways to select 3 lemon drops from the bag.

using the combination formula, we can determine the number of ways to select a specific number of items from a larger set. In this case, there are 84 ways to select 3 lemon drops from a bag containing 15 pieces of candy, 9 of which are lemon drops.

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The entry required to account for the change in office supplies would depend on the accounting method used. Assuming the company follows the periodic inventory system, where office supplies are expensed as they are used, the entry would be as follows:

At the beginning of the period:

Debit: Office Supplies Expense - $4,000

Credit: Office Supplies - $4,000

At the end of the period:

Debit: Office Supplies - $3,900

Credit: Office Supplies Expense - $3,900

Explanation:

1. At the beginning of the period, the company records the office supplies as an asset (Office Supplies) and recognizes an expense (Office Supplies Expense) for the same amount. This reduces the value of the asset and reflects the cost of supplies used during the period.

2. At the end of the period, when it is determined that $3,900 worth of supplies remains, the company adjusts the office supplies account by reducing it by the remaining amount. This adjustment is necessary to reflect the correct value of supplies on hand at the end of the period.

The entry ensures that the net effect of the transactions is an expense of $100 ($4,000 - $3,900), which represents the cost of supplies consumed during the period.

Simple interest can be defined as the interest charged on the total amount of principal taken for a particular period of time.

Interest is only charged based on the use of funds. Calculating simple interest is fairly straightforward and is the fastest way to calculate interest.

Total amount of money inverted:

Total interset earne

Answer:

the answer is D.

Step-by-step explanation:

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Answer:

Step-by-step explanation:

A binomial might look like x + 2.  Note how it has two terms.  " bi' " is a prefix meaning " two. "

A trinomial might look like 2x^2 - x + 1.  It has three terms.