Select all the pairs of equivalent expressions.
(43)3 and 43 ⋅ 43
(34)4 and 38 ⋅ 38
64 ⋅ 34 and 188
43 ⋅ 53 and 203
(43)3 and 4^3⋅ 4^3 ⋅ 4^3
The digits after each number are all exponents btw

Answer:

(-2, -2)

Step-by-step explanation:

Midpoint Formula: \((\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )\)

Simply plug in our known variables and set equation equal:

3 = (8 + x)/2

6 = 8 + x

x = -2

1 = (4 + y)/2

2 = 4 + y

y = -2

The correlation is a significant non-zero value.

The number of samples is n.

n = 25

The correlation of the coefficient is r.

r = -0.40

When correlation is significant,

\(H _{0} : p = 0\)

When correlation is non-zero,

\(H _{ \alpha } : p ≠0\)

The test statistic is,

\(TS = \frac{r \times \sqrt{n - 2} }{ \sqrt{1 - r {}^{2} } } \)

\( = \frac{0.4 \times \sqrt{25 - 2} }{ \sqrt{1 - ( - 0.4) ^{2} } } \)

\( = \frac{ - 1.918 }{ \sqrt{0.84} } \)

= -2.093

The test statistic is -2.093.

The correlation is,

\(H _{ \alpha } : - 2.93 ≠0\)

The correlation is not equal to zero and is significant.

Therefore, the correlation is a significant non-zero value.

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Answer:I think you can say like the most bought music in class B is alternative and the lowest one is classical and so on

Step-by-step explanation:

Yes, its true that the questionnaire is very carefully constructed by an individual to provide the measurement instrument.  

A questionnaire is a studies device which includes a sequence of questions for the motive of amassing facts from respondents. Questionnaires may be concept of as a form of written interview. A questionnaire is a listing of questions or gadgets used to collect facts from respondents approximately their attitudes, experiences, or opinions.

Questionnaires may be used to acquire quantitative and/or qualitative facts. Questionnaires are generally utilized in marketplace studies in addition to withinside the social and fitness sciences. Questionnaires are typically taken into consideration to be excessive in reliability. This is due to the fact it's miles feasible to invite a uniform set of questions. Any troubles withinside the layout of the survey may be ironed out after a pilot study. The greater closed questions used, the greater dependable the studies.

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Answer:

Linked below.

Step-by-step explanation:

To solve, first line up your numbers. Then, multiply the ones place of the digit by the numbers on top individually. Write this below.

Do the same with all other places except add a zero each time there is one more row.

False, r2adj is the adjusted coefficient of determination that can exceed r2 if there are several weak predictors.

R2adj is the adjusted coefficient of determination and takes into account the number of predictors in the model. It penalizes the addition of insignificant predictors that do not improve the model fit.

R2, on the other hand, is the coefficient of determination and measures the proportion of variability in the dependent variable that is explained by the independent variables in the model.

It is possible for R2 to increase when weak predictors are added, but this increase is not necessarily mean that the predictors do not have a significant impact on the outcome.

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The question is -

R2adj can exceed R2 if there are several weak predictors. true or false?

The growth rate of bacteria in a culture is not specified, so assuming it is exponential, the number of bacteria present after 2 hours will be approximately 1.8 x 10^8.

To solve this problem, we can use the exponential growth formula: N(t) = N0 * e^(rt), where N(t) is the number of bacteria at time t, N0 is the initial number of bacteria, r is the growth rate, and e is the base of the natural logarithm. First, we need to find the growth rate, r. We can use the initial and final number of bacteria and the time interval to do this.

N(t) = N0 * e^(rt)

171 = 38 * e^(49r)

ln(171/38) = 49r

r = ln(171/38)/49

r ≈ 0.069 Now we can use the formula to find N(120) (i.e., the number of bacteria after 2 hours, or 120 minutes):

N(120) = 38 * e^(0.069 * 120)

N(120) ≈ 1.8 x 10^8 Therefore, approximately 1.8 x 10^8 bacteria will be present in the culture after 2 hours.

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The output when the given pseudocode is executed with A = 5 and B = 3 will be "25, 16, 9, 4, 1".

The given pseudocode includes a loop that iterates as long as A is greater than or equal to B. In each iteration, the square of A is displayed, and A is decremented by 1. We are asked to determine the output when A is initially 5 and B is 3.

Step 1: Initialization

A is set to 5 and B is set to 3.

Step 2: Iteration 1

Since A (5) is greater than or equal to B (3), the loop executes.

The square of A (5²) is displayed, resulting in the output "25".

A is decremented by 1, so A becomes 4.

Step 3: Iteration 2

A (4) is still greater than or equal to B (3).

The square of A (4²) is displayed, resulting in the output "16".

A is decremented by 1, so A becomes 3.

Step 4: Iteration 3

A (3) is still greater than or equal to B (3).

The square of A (3²) is displayed, resulting in the output "9".

A is decremented by 1, so A becomes 2.

Step 5: Iteration 4

A (2) is still greater than or equal to B (3).

The square of A (2²) is displayed, resulting in the output "4".

A is decremented by 1, so A becomes 1.

Step 6: Iteration 5

A (1) is still greater than or equal to B (3).

The square of A (1²) is displayed, resulting in the output "1".

A is decremented by 1, so A becomes 0.

Step 7: Loop termination

Since A (0) is no longer greater than or equal to B (3), the loop terminates.

Therefore, The output generated by the code execution will be "25, 16, 9, 4, 1" as the squares of A (starting from 5 and decreasing by 1) are displayed in each iteration of the loop.

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The length of the legs of square ABCD is 2√2.

We have,

Applying the Pythagorean theorem.

Square has all sides equal.

So,

4² = x² + x²

16 = 2x²

x² = 8

x = √8

x = √(4 x 2)

x = 2√2

Thus,

The length of the legs of square ABCD is 2√2.

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The number of balls that must be selected to ensure that 4 balls of the same color are chosen is 10 balls.

To ensure that 4 balls of the same color are chosen, we must consider the worst-case scenario where we select 3 balls of each color before selecting the fourth ball. Therefore, the minimum number of balls that must be selected is:

= 3 (red balls) + 3 (blue balls) + 3 (yellow balls) + 1 (any color)

= 10 balls.

Therefore, we must select at least 10 balls to ensure that 4 balls of the same color are chosen.

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Answer:63.75 :)

Step-by-step explanation:

Answer:

$63.75

Step-by-step explanation:

85 x 75/100

85/1 x 3/4

255/4 - > $63.75

- You should already know how to do this yourself as this is very easy and basic question.

Answer:

Total cost is $177.50.

Step-by-step explanation:

Rackets:

Divide the cost for racket by 6 to find the cost per racket.

186÷6=31

Multiply 31 by 5 to find the cost for 5 rackets.

31×5=155

$155

Tubes of balls:

Divide 27 by 6 to find the cost per a tube of balls.

27÷6=4.50

Multiply 4.50 by 5 to find the cost for 5 tubes of balls.

4.50×5=22.50

$22.50

Add the amounts for rackets and tubes of balls to find the total cost.

155+22.50=177.50

The total cost is $177.50.

Hope this helps!

(-6, 14) and (2, -18)

The slope of the line that passes through the point.

y2 - y1 / x2 - x1

-18 - 14 / 2 + 6

= -32 / 8

= -4

Option D. -4

Answer:

True

Step-by-step explanation:

When displaying any sort of data, it is important to make the table or chart as easy to understand and read as possible without compromising the data. In this case, it is simpler to understand the pie chart if we use as few slices as possible that still makes sense for displaying the data set.

Answer:

Step-by-step explanation:

first note: it will be more easy if we solve the inequality first

so let's solve it together

\( \frac{2}{3} x - 5 > 3\)

\( \frac{2}{3} x > 8\)

\(2x > 24\)

\(x > 12\)

so what we get

we get that x is greater than 12

Answer:

The time it takes Salam to walk around the path once is 12 minutes 34 seconds

Step-by-step explanation:

Given;

radius of the circular pond, r = 150 m

speed of Salam, v = 75 m/min

A single distance round the circular path is given by;

d = 2πr

d = 2π(150)

d = 942.6 m

Time it takes Salam to walk around the path once, is given by;

time = distance / speed

time = 942.6 / 75

time = 12.568 minutes

time = 12 minutes 34 seconds

Therefore, the time it takes Salam to walk around the path once is 12 minutes 34 seconds

Answer:

\(\sqrt{63}\)

Step-by-step explanation:

We have to remember while answering this question that the square root of 64 is 8. Since the number on the number line looks like it's a little under 8, the answer can't be anything greater than the square root of 64.

The square roots of 66 and 65 are greater than the square root of 64, since they are both greater than 64, and 64 itself has a square root of 8, so it can't be the number.

The square root of 63 is our only option left, so it has to be the answer.

Hopefully this helped! Let me know if you have any questions.

The  required general solution for the given equation is

y(x) = \(e^{(-x/2)(C1 sin(\sqrt{(7/2)x} )}\) + C2 cos(√(7/2)x)) + \(e^{(-x/2)(C3 sin(\sqrt{(21/2)x }\)+ C4 cos(√(21/2)x))

here

C1, C2, C3 and C4 = constants determined by initial conditions.

It is given to us

y = sin(x) is a solution of y⁴ + 2y"' + 11y" +2y' + 10y = 0, by the method of undetermined coefficient we can calculate the general solution.

we evaluate the differential equation by considering that

y = \(e\sqrt{(rx)}\). We get r⁴ + 2r³ + 11r² + 2r + 10 = 0.

After factorizing the equation as

(r² + r + 2)(r² + r + 5) = 0.

The  evaluated roots of this equation are

r = -1/2 ± i√(7/2) and r = -1/2 ± i√(21/2).

We know that sin(x) is a solution of the differential equation,

Therefore, y = A sin(x) + B cos(x) is also a solution.

Now implementing the roots that we have derived, the general solution is

y(x) = \(e ^{(-x/2)(C1 sin(\sqrt{(7/2)x\)+ C2 cos(√(7/2)x)) + \(e ^{(-x/2)(C3 sin\sqrt{((21/2)x)} }\)+ C4 cos(√(21/2)x))

The  required general solution for the given equation is

y(x) = \(e^{(-x/2)(C1 sin(\sqrt{(7/2)x} )}\) + C2 cos(√(7/2)x)) + \(e^{(-x/2)(C3 sin(\sqrt{(21/2)x }\)+ C4 cos(√(21/2)x))

here

C1, C2, C3 and C4 = constants determined by initial conditions.

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Answer:

a = 6, b = 1, c = -6

Step-by-step explanation:

Quadratic equations can be written as ax² + bx + c. In this case, a = 6, b = 1, c = -6.

Answer:

false

Step-by-step explanation:

1/2(4)-3=-1

Answer: False

Step-by-step explanation:

if x= 4

1/2(4) - 3 less than/equal to -3

2 - 3 less than/equal to -3

-1 is not less than -3 and it also is not equal to -3

Parameters are the values that are computed from a complete census, which are considered to be precise and valid measures of the population. So, option(b) is right one.

In statistics, a population parameter is a number that identifies an entire group of people or population. This should not be confused with arguments in other forms of mathematics that refer to values that remain constant for a mathematical function. Note that the population parameter is not a statistic, it refers to data for a sample or group of the population. With good research, we can get statistics that accurately estimate the population. Statistics is a numerical measure described with sample data. Therefore, the parameter is a numerical description of the characteristic of population.

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Complete question:

Values that are computed from a complete census, which are considered to be precise and valid measures of the population, are referred to as:

a) statistic

b) parameters

Answer:

0.8

Step-by-step explanation:

(-w+0.4)+(w+0.4)

=0.8

Answer:

A

Step-by-step explanation:

The equation that represents the situation is:

d = 525h

In this equation, d represents the distance traveled and h represents the number of hours spent flying. The equation states that the distance traveled (d) is equal to the product of the speed (525 miles per hour) and the number of hours spent flying (h). This equation shows the relationship between the distance and time for the airplane flying at a constant speed of 525 miles per hour.

       The Equation Representing The Situation is:

       d  =  525 *  h

Make A Plan:

We need to find the Equation representing the relationship between the distance traveled (D) and the number of hours spent flying (H).

The Airplane is flying at a Constant Speed of 525 Miles Per Hour (mph). However, The Distance Traveled is Equal to the speed Multiplied by the Time Spent Flying.  

        d   =   525  *   h

        The Equation Representing The Situation is:

        d  =  525 *  h

I hope this helps you!

Answer:

y= 2/3x -1

Step-by-step explanation:

Ok so basically we want to put it in the form y=mx+b where m is 2/3 and passes through the point (9,5). So sub in the x and y of the point in brackets into the equation. 5= 2/3(9) + b and solve for b so b = -1. Therefore the equation is y=2/3x -1

The MAD of 42 calories indicates calorie values of the sandwiches deviate from the mean by 42 calories.

A mean means the average of a data set found by adding all numbers together and then dividing the sum of the numbers by the number of numbers.

Mean = Ef/n

Mean = (242 + 290 + 290 + 280 + 390 + 350) / 6

Mean = 1842 / 6

Mean = 307 calories

The mean absolute deviation represents the average amount of deviation or variation of the data points from the mean.

The absolute deviations from the mean:

|242 - 307| = 65

|290 - 307| = 17

|290 - 307| = 17

|280 - 307| = 27

|390 - 307| = 83

|350 - 307| = 43

The mean absolute deviation (MAD) is:

= (65 + 17 + 17 + 27 + 83 + 43) / 6

= 252 / 6

= 42 calories.

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To convert 80 kg to lbs, multiply 80 by 2.20462. 80 kg is equivalent to 176.369 lbs.

Kilograms (kg) and pounds (lbs) are both units of measurement used to express weight or mass. The conversion between kilograms and pounds is widely used in many countries, especially in sports and fitness, where weight is an important factor.

To convert kilograms to pounds, simply multiply the number of kilograms by 2.20462. In this case, to convert 80 kg to lbs, you would multiply 80 by 2.20462, which gives you a result of 176.369 lbs.

This conversion factor is widely accepted and is used in many applications. It is important to note that the conversion is exact and is not an approximation.

If you need to make precise weight measurements, it is recommended to use this conversion factor to convert between kilograms and pounds.

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Answer:

48

Step-by-step explanation:

72/6 =12

12(4)=48

Answer:

8.58333

Step-by-step explanation:

round to 8.6 feet

Answer:

8 foot and  5 inches

Step-by-step explanation:

Answer:

\(m=-3\)

Step-by-step explanation:

Given points:
\((5,3),(8,-6)\)

1. Find the slope

The slope of a line between two points equals the change in the points' y-coordinates (rise) over the change in their x-coordinates (run).

The coordinates of point 1 are: \(x_1=5,y_1=3\)

The coordinates of point 2 are: \(x_2=8,y_2=-6\)

To find the slope, plug the points' x and y-coordinates into the formula and combine to simplify:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{-6-3}{8-5}\)

\(m=\frac{-9}{3}\)

\(m=-3\)