What is the reciprocal of 6^-8

Answer:

I think 3 ,4 ,and 5 are to only correct ones

The correct statement among the given options is A. "Research cannot use both qualitative and quantitative methods in a study."

This statement is not correct because research can indeed use both qualitative and quantitative methods in a study. Qualitative research focuses on collecting and analyzing non-numerical data such as observations, interviews, and textual analysis to understand phenomena in depth. On the other hand, quantitative research involves collecting and analyzing numerical data to derive statistical conclusions and make generalizations.

Many research studies employ a mixed methods approach, which combines both qualitative and quantitative methods, to provide a comprehensive understanding of the research topic. By using both qualitative and quantitative data, researchers can gather rich insights and statistical evidence, allowing for a more comprehensive analysis and interpretation of their findings.

Therefore, option A is the statement that is not correct concerning qualitative and quantitative research.

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The value of 2 divided by 3 is 0.67

From the question, we have the following parameters that can be used in our computation:

2 divided by 3

To start with, we need to represent the expression properly as a quotient

So, we have the following representation

2 divided by 3 = 2/3

Evaluate the quotient expression using a calculator

This gives

2 divided by 3 = 0.67

Hence, the solution to 2 divided by 3 is 0.67

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Answer:

r = - 3

Step-by-step explanation:

Given

40 = 16 - 8r ( subtract 16 from both sides )

24 = - 8r ( divide both sides by - 8 )

- 3 = r

a. The unemployment rate is 20%.

b. The labor-force participation rate is 60%.

According to the question,

Working age population- 100,000

Labour force - 60,000

Unemployed - 12000 instructions

a) The unemployment rate is the percentage of the labor force that is unemployed and it is calculated as follows:

Unemployment Rate = \(\frac{Number of unemployed People}{Labor force}\) × 100

When an unemployed population is 12,000 and the labor force is 60,000,

the unemployment rate is  = \(\frac{12000}{60000}\) × 100 = 20%

b) labor force participation rate is the percentage of working adult population that participates in labor either by actively looking for a job, or working. It is calculated as follows:

Labor Force Participation Rate = \(\frac{Labor force}{working age population}\) × 100

When the labor force is 60,000 and the working-age population is 100,000

Labor Force Participation Rate = \(\frac{60000}{100000}\) × 100 = 60%

So, a. The unemployment rate is 20%.

b. The labor-force participation rate is 60 %.

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No. of children in lamb, chicken, duck, and turkey category is 66, 24, 18 and 12 respectively.

Percentage is the value per hundredth.

According to the given question a survey was carried out among 120 school children looked at which type of meat they preferred. 55% said they preferred lamb,20% said they preferred chicken, 15% preferred duck and 10% turkey and we have to calculate no. of children in each category.

55% said they preferred lamb, So the no. of students i this category is

= (55/100)×120

= 66 children.

20% said they preferred chicken, So the no. of children in this category is

= (20/100)×120

= 24 children.

15% said they preferred duck, So the no. of children in this category is

= (15/100)×120

= 18 children.

10% said they preferred turkey, So the no. of children in this category is

= (10/100)×120

= 12 children.

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A point outside the control limits indicates the presence of a special cause in the process or the existence of a false alarm only.Control limits in statistical process control (SPC)

Control limits in statistical process control (SPC) are set to define the range of acceptable variation in a process. When a data point falls outside the control limits, it suggests that the process is exhibiting abnormal behavior. This can be attributed to either a special cause, which refers to an identifiable factor that is not part of the normal variation, or a false alarm, indicating a random variation that occurred by chance. Therefore, a point outside the control limits could indicate the presence of a special cause or be a false alarm.

when observing a data point outside the control limits, further investigation is necessary to determine whether it is due to a special cause or a false alarm. Analyzing the process and gathering additional information will help identify the underlying cause and enable appropriate corrective actions to be taken if needed.

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Answer:

102 pounds

Step-by-step explanation:

Volume of Right rectangular prism = 12 * 8.5 * 4  = 408 cubic feet

Density = Mass / Volume

=>  0.25  = Weight of contents in container / Volume of container

=> 0.25 = Weight of contents in container / 408

=> Weight of contents in container  = 0.25 * 408

=> Weight of contents in container  = 102 pounds

Answer:

683lb

Step-by-step explanation:

Answer: its b

Step-by-step explanation:

The number of strings that can be formed by ordering the letters abcde subject to the condition that each string contains the substring "ace" is 120 - 8 = 112.

To count the number of strings that can be formed by ordering the letters abcde subject to the condition that each string contains the substring "ace", we can use the technique of counting the complement.

First, let's count the total number of strings that can be formed by ordering the letters abcde without any restrictions. This is simply the number of permutations of 5 distinct letters, which is 5! = 120.

Next, let's count the number of strings that do not contain the substring "ace". To do this, we can treat "ace" as a single letter, and count the number of permutations of 3 letters (b, d, and "ace") and 2 letters (b and d), respectively.

The number of permutations of 3 letters is 3! = 6, and the number of permutations of 2 letters is 2! = 2. Therefore, the total number of strings that do not contain the substring "ace" is 6 + 2 = 8.

Finally, we can count the number of strings that do contain the substring "ace" by subtracting the number of strings that do not contain "ace" from the total number of strings. Therefore, the number of strings that can be formed by ordering the letters abcde subject to the condition that each string contains the substring "ace" is 120 - 8 = 112.

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Answer: complaints of the wrongs done to the colonists.

Therefore, the height of the pile is changing at a rate of approximately 0.287 feet per minute when the pile is 22 feet high.

Rate of sand falling off the conveyor onto the conical pile: 20 cubic feet per minute

Diameter of the base of the cone: approximately three times the altitude

We need to find the rate at which the height of the pile is changing when the pile is 22 feet high.

Let's denote the altitude of the cone as h and the radius of the base as r. According to the given information, the diameter of the base is approximately three times the altitude, so we have: d = 3h.

Using the formula for the volume of a cone, we have:

V = (1/3)π\(r^2\)h

We are given that the rate of change of volume (dV/dt) is 20 cubic feet per minute. We want to find the rate of change of the height (dh/dt) when h = 22.

Taking the derivative of the volume equation with respect to time (t), we get:

dV/dt = (1/3)π(2rh)(dh/dt)

Substituting the given values, we have:

20 = (1/3)π(2r)(dh/dt)

We know that the diameter of the base is three times the altitude, so r =(d/2) = (3h/2) = (3/2)h.

Substituting this into the equation, we have:

20 = (1/3)π(2(3/2)h)(dh/dt)

Simplifying, we get:

20 = (1/3)π(3h)(dh/dt)

20 = πh(dh/dt)

Now, we can solve for dh/dt by plugging in the given value of h = 22:

20 = π(22)(dh/dt)

Solving for dh/dt, we have:

dh/dt = 20 / (22π)

Using a calculator to evaluate this expression, we get approximately:

dh/dt ≈ 0.287 feet per minute

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Answer:

sometimes

Step-by-step explanation:

Answer:

Yes! All the time!

Step-by-step explanation:

Answer:

B:1

Step-by-step explanation:

the values are the same, so we know the scale is 1:1

hope this helps

Answer:

b)1

Step-by-step explanation:

The tangent line to y = f(x) at a point (a, f(a) ) has slope dy/dx at x = a. So first compute the derivative:

y = x² - 9x   →   dy/dx = 2x - 9

When x = 4, the function takes on a value of

y = 4² - 9•4 = -20

and the derivative is

dy/dx (4) = 2•4 - 9 = -1

Then use the point-slope formula to get the equation of the tangent line:

y - (-20) = -1 (x - 4)

y + 20 = -x + 4

y = -x - 24

The normal line is perpendicular to the tangent, so its slope is -1/(-1) = 1. It passes through the same point, so its equation is

y - (-20) = 1 (x - 4)

y + 20 = x - 4

y = x - 24

The equation in slope-intercept form is  y = - 2x - 3.

The general equation of a straight line is

y = mx + c,

where m is the gradient or slope, and

y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Now the given equation is,

10x + 5y = - 15

Dividing the equation by 5 we get,

2x  + y = - 3

Subtracting 2x both the side we get,

2x  + y - 2x = - 3 - 2x

⇒ y = - 3 - 2x

or, y = - 2x - 3

This is the required slope-intercept form.

where -2 is the slope and -3 is the intercept.

Thus, the equation in slope-intercept form is  y = - 2x - 3.

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To calculate the probability that the average lifetime of 500 randomly selected electronic components falls between 5990 hours and 6010 hours, assumptions such as the normality of the distribution, independence of lifetimes, and random sampling need to be met before applying statistical theory and computations.

Before computing the probability, we need to make some assumptions and use statistical theory. Here are the questions that need to be answered:

Is the distribution of the lifetime of the electronic component approximately normal?

Are the lifetimes of the 500 components independent of each other?

Are the components in the sample randomly selected from the population?

If the assumptions are met, we can proceed to compute the probability using the properties of the normal distribution and the Central Limit Theorem.

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Answer:

PC = 12 units

AP = 10 units

Step-by-step explanation:

In ΔACE

∵ P is the centroid of it

∴ P divides CF the ratio 2: 1 from C

∴ PC = 2 PF

∵ PF = 6 units

∴ PC = 2(6)

∴ PC = 12 units

∵ P divides AD at the ratio 2: 1 from A

→ That means AD = 2 + 1 = 3 parts, and AP = \(\frac{2}{3}\) AD

∴ AP = \(\frac{2}{3}\) AD

∵ AD = 15 units

∴ AP = AP = \(\frac{2}{3}\) (15)

∴ AP = 10 units

Answer:

yes it is an equilateral triangle

Answer:

\(→10 - 9x( - 6) \\= 10 - (9)( - 6)x \\= 10 + 54x \\= \boxed{ 54x + 10}✓\)

Step-by-step explanation:

10 - 9x(-6)

10 + 54x

54x = -10

x = -10/-54

x = 10/54

x = 5/27 ✓✓✓

Answer:

Sam solves 54. I hope this helps with your RSM.

Step-by-step explanation:

18x7=126

18x3= 54

126+54=180

0.278 decimal is equivalent to the fraction of students who like to play basketball.

Suppose the fraction is proper (the numerator is smaller than the denominator).

Let it be

\(\dfrac{a}{b}\)

Then, we can interpret it as:

\(\dfrac{a}{b} = a\) parts out of b parts of a thing.

Five-eighteenths of the students surveyed like to play basketball.

\(\dfrac{5}{18} \\\\= 0.278\)

Therefore,

0.278 decimal is equivalent to the fraction of students who like to play basketball.

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Step-by-step explanation:

Area of the square:

a^2: 4^2=16in^2

Area of the circle:

πr^2: π(4.5)^2= 63.6

Area of white part:

63.6 - 16 = 47.6

Probability of landing on square:

16/63.6 = 0.25

Probability of landing on white part:

63.6/16 = 3.975

Answer:

g = 12.7 cm

Step-by-step explanation:

Here, we want to find the length of the side g

To do this, we shall employ the use of the cosine rule

Mathematically, by using the general form of the rule, we have it that ;

g^2 = e^2 + f^2 -2efCosG

So we have;

g^2 = (9.8)^2 + (3)^2 - 2(9.8)(3) cos 167

g^2 = 162.33

g = √162.33

g = 12.7

Answer:

The coordinates of the fourth vortex are (3, 5).

Step-by-step explanation:

When you are plotting a square, you know that all the sides will be the same length. Let's first start with plotting (3, 2) by moving 3 points to the right on the x-axis and 2 units up on the y-axis. Then plot the next on left 4 units on the x-axis and 2 units up on the y-axis. Next plot the last known point left 4 units on the x-axis and up 5 units on the x-axis. Finally, you should be able to see where the last point of the square is by following the points (3, 2) and (-4, 5) to where they meet in the middle.

If you have any additional questions feel free to ask me or your teacher so you can really master what you're learning. :)

Answer:

The correct answer is point B

Step-by-step explanation:

Answer:

A :

B : Trapezius!

............

Answer: the answer is C

Step-by-step explanation: AP3X

The total cost is $249,739.

A mortgage rate is the interest rate on a mortgage. Mortgage rates are set by the lender and might be fixed, remaining constant during the length of the loan, or variable, varying with a benchmark interest rate. Borrowers' mortgage rates differ depending on their credit profile.

We have,

P = $105, 000

T = 40 year

R = 5.2%

Using

Monthly payment, P = C[i(1+i\()^n\)]/[(1+i\()^n\)-1]

P = 105,000 [ 0.052/12(1+0.052/12\()^{480\)]/[(1+0.052/12\()^{480\\\)-1]

P = 105,000 [ 0.00433 (7.8426)] / [7.8426 -1]

P = 105,000 [ 0.03372318] / (6.8426)

P = $249,739

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We  can conclude that approximately 95.45 is the percentage  of the students at this university study between 5 and 10 hours per week.

To find the percentage of students who study between 5 and 10 hours per week, we need to calculate the z-scores for these values and use the standard normal distribution.

The z-score for 5 hours is:

z = (5 - 7.5) / 1.25 = -2

The z-score for 10 hours is:

z = (10 - 7.5) / 1.25 = 2

Using a standard normal distribution table or a calculator, we can find that the area under the curve between -2 and 2 is approximately 0.9545. This means that approximately 95.45% of the students study between 5 and 10 hours per week.

Therefore, we can conclude that approximately 95.45% of the students at this university study between 5 and 10 hours per week.

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