What is 3/4 divided by 1/8? Draw a diagram to solve

Two of them have the same remaining. The proof using the pigeonhole principle is now complete.

When an integer is divided by 4, there are four potential remainders: 0, 1, 2, or 3. Take any set of five numbers as an example.

If at least three of them have the same remainder when divided by 4, then we are done, since two of them will have the same remainder. This is because if three integers have the same remainder, then we can subtract that remainder from all of them, and the resulting three integers will all be divisible by 4, which means that two of them will have the same remainder when divided by 4.

So suppose that at most two of the integers have the same remainder when divided by 4. Then there are at most two integers with remainder 0, at most two integers with remainder 1, at most two integers with remainder 2, and at most two integers with remainder 3. This means that there are at most 8 integers in total, which is a contradiction since we started with 5 integers. Therefore, there must be at least three integers with the same remainder when divided by 4, and hence there are two with the same remainder. This completes the proof by the pigeonhole principle.

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Answer:

D. -42

Step-by-step explanation:

4(-2) + (-10) + 3(-8)
Multiply 4 and -2.

(-8) + (-10) + 3(-8)
Multiply 3 and -8.

(-8) + (-10) + (-24)
Add -8 and -10.

(-18) + (-24)

Add -18 and -24.

-42

Answer:

write a semi formal letter to your father's friend

ANSWER

y = 14x + 3

EXPLANATION

We have the table that gives the values of x and y.

We want to find the linear equation that describes the data.

The general form of a linear equation is:

y = mx + c

where m = slope

c = intercept

So, we have to find the slope of the equation first.

We do that by using:

where (x1, y1) and (x2, y2) are two sets of data from the table.

Let us pick (x1, y1) as (0, 3) and (x2, y2) as (2, 31)

So, we have that:

Now, we use the point-slope method to find the equation:

y - y1 = m(x - x1)

=> y - 3 = 14(x - 0)

y - 3 = 14x

=> y = 14x + 3

That is the equation.

9514 1404 393

Answer:

Step-by-step explanation:

The roots (zeros) of the function are (1, 0) and (3, 0). The point (2, 2) is the vertex, the maximum in this case.

The domain of any polynomial function is "all real numbers".

The range is y ≤ 2, not y < 2.

Answer:

x = 7, x = 5

Step-by-step explanation:

\(\frac{3x+3}{8}\) = 2x - 11 ( multiply both sides by 8 to clear the fraction )

3x + 3 = 16x - 88 ( subtract 3x from both sides )

3 = 13x - 88 ( add 88 to both sides )

91 = 13x ( divide both sides by 13 )

7 = x

--------------------------------------------------------------

\(\frac{4x-6}{7}\) = 2 ( multiply both sides by 7 )

4x - 6 = 14 ( add 6 to both sides )

4x = 20 ( divide both sides by 4 )

x = 5

3x + 3 / 8 = 2x - 11

Multiply both sides by 8

8 × ( 3x + 3 / 8 ) = 8 × ( 2x - 11 )

3x + 3 = 16x - 88

Add both sides 88

3x + 3 + 88 = 16x - 88 + 88

3x + 91 = 16x

Subtract both sides 3x

3x - 3x + 91 = 16x - 3x

91 = 13x

Divide both sides by 13

91 ÷ 13 = 13x ÷ 13

7 = x

x = 7

_________________________________

4x - 6 / 7 = 2

Multiply both sides by 7

( 4x - 6 / 7 ) × 7 = 2 × 7

4x - 6 = 14

Add both sides 6

4x - 6 + 6 = 14 + 6

4x = 20

Divide both sides by 4

4x ÷ 4 = 20 ÷ 4

x = 5

Answer:

5.6

Step-by-step explanation:

5x/8=7/2

10x=56

x=5.6

Answer:

It would be better to buy the regular size

Step-by-step explanation:

For regular size You would divide

16/3.36 = 4.7619

For family size you would divide

40/7.60 = 5.2631

As you can see with the regular size you would pay about $4.75 cents for every ounce but if you buy the family size then you would be paying about $5.26 for every ounce

\(8 = \dfrac{3+2x}{4+x}\\\\\implies 8(4+x) = \dfrac{3+2x}{4+x} \cdot (4+x)\\\\\implies 8\cdot (4+x) = 3+2x\\\\\text{Hence the answer is A.}\)

Answer:

A

Step-by-step explanation:

8=3+2x/4+x

8/1= 3+2x/4+x then crisscross both sides without multiplying

8×(4+x)=3+2x

I hope it helped

Answer: We can use the Pythagorean theorem to solve this problem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, we have:

a = -10

b = 24

c = ?

Using the Pythagorean theorem, we can solve for c:

c^2 = a^2 + b^2

c^2 = (-10)^2 + 24^2

c^2 = 676

c = sqrt(676)

c = 26

Therefore, the length of the missing side of the right triangle is 26 units.

The length of the missing side of the right triangle is 26.  To find the length of the missing side of a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).

The formula is:

\(c² = a² + b²\)

In this problem, a = 10 and b = 24. To find the length of the missing side (the hypotenuse, c), we can plug these values into the formula:

c² = 10² + 24²
c² = 100 + 576
c² = 676

Now, we take the square root of both sides to find the length of the missing side:

c = √676
c = 26

So, the length of the missing side (the hypotenuse) of the right triangle is 26.

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Answer:

B

Step-by-step explanation:

half × base × height

height × length

Answer: B

Step-by-step explanation:

Triangle)

25 - 7 = 18

\(A=\frac{1}{2}(b)(h)\\A=\frac{1}{2}(18)(17)\\A=153cm^2\)

Rectangle)

\(A=b(h)\\A=7(17) = 119cm^2\)

Total)

\(153+119=272 cm^2\)

The equation, rearranged to isolate c, is: c = (a + bd) / b

In order to isolate c, we need to get c by itself on one side of the equation. Here's how we can do that:

First, we can distribute the b to get:
a = bc - bd

Next, we can add bd to both sides of the equation:
a + bd = bc

Finally, we can divide both sides by b to isolate c:
(a + bd) / b = c

The equation, rearranged to isolate c, is: c = (a + bd) / b

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Nonverbal instruments have been developed primarily in an attempt to d. assess issues that individuals cannot verbalize.

The answer is d. Nonverbal instruments have been developed primarily to assess issues that individuals cannot verbalize. These instruments are often used in psychology and educational assessments to measure skills and abilities in areas such as mathematics, language, and pre-reading skills, while controlling for the influences of language and culture. Nonverbal instruments can be particularly useful for individuals who struggle with verbal communication or have language barriers.

The exchange of information between people without the use of spoken or written language is referred to as nonverbal communication. Facial expressions, eye contact, gestures, posture, body movements, tone of voice, and even the use of time and space are all included in this broad category of behaviors.

A lot of information about a person's emotional state, intentions, attitudes, and personality traits can be communicated nonverbally. A person's posture and body language, for instance, might show whether they are feeling confident or uneasy, and their tone of voice and facial expressions can show whether they are happy, angry, or sad.

A crucial component of human contact is nonverbal communication since it can improve our ability to understand others, establish rapport, and communicate.

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The length of segment d is 8 when the value segment a is  4 cm, b is 12 cm , c is 6 cm

If two segments intersect inside or outside the circle then ab=cd

Given values of a is 4 cm, b is 12 cm , c is 6 cm and d is x

ab=cd

Plug in the values of a, b , c and d

4×12=6×d

48=6d

Divide both sides by 6

8=d

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Ramon just substituted the 8.5 for the wrong variable. She must replace 8.5 for y-variable, because that's the right one for shoe size.

Based on the given conditions,

Ramona used the regression equation,

y = 444x - 21.29

The 8.5 is for shoes only, not for height.

Therefore, using 8.5 for the x-variable is incorrect because x denotes height and y denotes shoe size.

Ramon therefore simply changed the incorrect value to 8.5.

Because 8.5 is the proper value for the y-variable in terms of shoe size, she must replace it.

Therefore,

Ramon just substituted the 8.5 for the wrong variable. She must replace 8.5 for y-variable, because that's the right one for shoe size.

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Putting all the given values in the formula, we get:n = [1.96² x 0.21 x 0.79] / 0.03²On solving, we get,n = 2734.84 ≈ 2735Therefore, 2735 public accountants should be contacted to update the study with a margin of error of 3% and a 95% level of confidence. Answer: 2735.

Given Information :A study conducted several years ago reported that 21% of public accountants changed companies within 3 years.

The American Institute of CPAs would like to update the study.

They would like to estimate the population proportion of public accountants who changed companies within 3 years with a margin of error of 3% and a 95% level of confidence.

Required:a. To update this study, how many public accountants should be contacted? Solution: Given that: the percentage of public accountants changed companies within 3 years is 21%.The level of confidence is 95%.

The margin of error is 3%.We have to find out the sample size.To find the sample size we use the formula :n = [Z² x p x q ] / E²

Where, Z = Standard normal deviation corresponding to a 95% confidence level is 1.96.p = proportion = 21/100 = 0.21q = 1-p = 1-0.21 = 0.79E = margin of error = 3/100 = 0.03

Putting all the given values in the formula, we get:n = [1.96² x 0.21 x 0.79] / 0.03²On solving, we get,n = 2734.84 ≈ 2735Therefore, 2735 public accountants should be contacted to update the study with a margin of error of 3% and a 95% level of confidence. Answer: 2735.

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An expression is defined as a set of numbers, variables, and mathematical operations. The value of x that will satisfy the given statement "the sum of a number x and 7 is 35" is 28.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given the statement that the sum of a number x and 7 is 35. Therefore, the given statement "the sum of a number x and 7 is 35" in the form of an expression can be written as,

x + 7 = 35

Subtract 7 from both the sides of the equation,

x +7 - 7 = 35 - 7

x = 28

Hence, the value of x that will satisfy the given statement "the sum of a number x and 7 is 35" is 28.

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What question do you need help with

The phenomenon that the sampling distribution of the sample mean can be approximated by a normal distribution as the sample size become large is called: Central Limit Theorem.

The central limit theorem (CLT) of probability theory states that, under the assumption that all samples are of equal size and regardless of the population's actual distribution shape, the distribution of a sample variable approaches a normal distribution (i.e., a "bell curve") as the sample size increases.

Now,

As stated in the definition of the Central Limit Theorem, sampling distribution of the sample mean can be approximated by a normal distribution as the sample size become large with the help of the stated theorem.

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Answer:

20.4 pounds

Step-by-step explanation:

Given that:

Weight of a coin = 7^-2 pounds

Weight of 1000 coins will be :

Weight per coin * number of coins

7^-2 * 1000

0.0204081 * 1000

= 20.408 pounds

= 20.4 pounds

we have the function

y=2x^(1/2)

Remember that

The arc length of a curve y=f(x) from x=a to x=b is given by

When applying descriptive statistics to a data set, it is good practice to: Begin by examining the basic characteristics of the data, such as the minimum and maximum values, mean, median, and mode.

This provides an initial understanding of the central tendency and range of the data.

Calculate measures of dispersion, such as the standard deviation and range, to assess the spread or variability of the data points. This helps to understand how closely the data points cluster around the central tendency.

Visualize the data using appropriate graphical representations, such as histograms, box plots, or scatter plots, to gain insights into the distribution and patterns within the data.

Identify and handle any missing or outlier data points that may affect the overall analysis. Missing data can be addressed through imputation techniques, while outliers may require further investigation or treatment.

Summarize the findings using appropriate summary statistics and clear, concise descriptions. This includes presenting measures of central tendency, dispersion, and any other relevant statistics or patterns observed in the data.

Ensure that the results and interpretations are accurate, objective, and meaningful by applying appropriate statistical techniques and avoiding biased or misleading analyses.

Consider the context of the data set and the research question or problem being addressed. Descriptive statistics should be interpreted in relation to the specific context and should not be generalized beyond their scope.

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Answer:

D

Step-by-step explanation:

try simplifying to get ur answer on a similar problem.

Answer: D

Step-by-step explanation:

It was right for me

Answer:

30° is the difference if they are supplement

15° is the difference if they are complementary

Step-by-step explanation:

Let 5x = the measure of the smaller angle

and 7x =  the measure of the larger angle

If they are supplementary, then 5x + 7x = 180

                                                        12x = 180

                                                            x = 15

5x = 5(15) = 75 = the measure of the smaller angle

7x = 7(15) = 105 = the measure of the larger angle

105 - 75 = 30 = difference of the measures

Now, if they are complementary, then 5x + 7x = 90

                                                                   12x = 90

                                                                       x = 7.5

5x = 7(7.5) = 37.5 = the measure of the smaller angle

7x = 7(7.5) = 52.5 = the measure of the larger angle

52.5 - 37.5 = 15 = difference of the measures

In order for the function to have an inverse, f'(x) ≠ 0. Therefore, we cannot provide a specific value for f'(-1) based on the given information.

A function that reverses the effects of another function is called an inverse function. It links each of the original function's output values to the relevant input value. A function must be one-to-one and onto in order to have an inverse. In other words, the function must be able to handle every potential output value and each input value must translate into a distinct output value.

To find the derivative of the inverse function at a given point, we can use the formula:

(f^(-1))'(y) = 1 / f'(f^(-1)(y))

In this case, we know that f(x) = -1. Let's assume f^(-1)(-1) = x. Then, we have:

f^(-1)'(-1) = 1 / f'(x)

Now, according to the given information, f'(-1) = 0. However, this statement is incorrect because it would lead to division by zero in our formula, which is undefined. In order for the function to have an inverse, f'(x) ≠ 0. Therefore, we cannot provide a specific value for f'(-1) based on the given information.

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The distance between N and PS is 3.2.

What is the midpoint of the segment?

Take the distance between the two endpoints and divide it by two. This distance from either end is the line's midpoint. Alternatively, add the endpoints' x coordinates and divide by 2. Repeat for the y coordinates.

From the below figure,

N is the intersection of the red and blue circles.

I’ve drawn PQRS as the square (0,0), (4,0), (4,4), and (0,4).

Then the formula for the red circle is:

             (x-2)² + (y-4)² = 4.

The formula for the blue circle is

                  x² + y²- 16 = 0.

Solving for x and y yields intersections

               (0, 4) and (3.2, 2.4),

the first being S and the latter being N.

Hence, the distance between N and PS is 3.2.

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The given statement "no matter what the resource allocation is, area A will always have the highest resource availability," is not essentially true.

The term "area" generally refers to a specific region or part of a larger space. In the context of your question, area A represents a particular zone with resources allocated to it. Resource availability refers to the quantity and accessibility of resources in a given area.

To claim that area A will always have the highest resource availability regardless of resource allocation, it implies that there are factors inherent to area A that consistently make it the most resource-rich zone. This could be due to natural resource distribution, infrastructure, or other variables that ensure area A maintains the highest resource availability.

However, without additional information about area A and the specific resources in question, it is difficult to definitively state that area A will always have the highest resource availability.

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Answer:

Hdujshshshddhdh

Step-by-step explanation:

Answer:

n=7

Step-by-step explanation:

71=10n+1

We move all terms to the left:

71-(10n+1)=0

We get rid of parentheses

-10n-1+71=0

We add all the numbers together, and all the variables

-10n+70=0

We move all terms containing n to the left, all other terms to the right

-10n=-70

n=-70/-10

n=7

Hope it helps

Answer:

The equation simplifies to n = 7.

Step-by-step explanation:

Hey there! We have an algebraic equation with the variable n. We want to solve for n. Therefore, we need to simplify the expression as much as we can.

To do this, we're going to notice we have two like terms in the equation:

These two terms can be combined to make one term. In order to do this, we're going to check which side of the equation has two terms.

We are going to then check the sign of the constant. As a reminder, constants are numbers without a variable attached to them.

We see our constant is 1 on the right side and it is positive due to it being added to 10n. Therefore, we are going to do the opposite and subtract it from 71.

This leaves us with a more simplified equation: 70 = 10n.

To make things easier, we're going to use the commutative property and switch the terms around. This will give us 10n = 70. It is easier to operate when our variable term is on the left side.

Now, we need to get our variable by itself. A coefficient is multiplying the variable by that value, so to reverse that, we must divide.

In addition to that, what we do on one side of the equation must be done on the other side of the equation.

\(\displaystyle \frac{10n}{10} = \frac{70}{10}\)

This simplifies to n = 7, which is our final answer.