what is eguilvilt to -2 with the power of 4 over -2 with the power of 2

Answer: $40.33

Step-by-step explanation:

9% of $37 = 3.33

37 + 3.33 = 40.33

The path  LORAN followed is hyperbolic.

The equation of the hyperbola is x²/8100 + y²/1900 = 1

Given,

These are the coordinates:

(x, y) = (-100, 0)  (100, 0)

The hyperbola's center; (h, k) = (0, 0)

The following is the distance between the center and the focal points:

c = 100

Square both sides;

c² = 10000

The following is the distance between the transmitters and the receiver:

2a = 180

Divide 2 from both sides.

a = 90

Square both sides;

a² = 8100

We possess;

b² = c² - a²

This results in;

b² = 10000 - 8100

b² = 1900

A hyperbola's equation is as follows:

(x - h)²/a²  + (y - k)²/b² = 1

We thus have:

(x - 0)²/8100 + (y - 0)²/1900 = 1

x²/8100 + y²/1900 = 1

As a result, the hyperbola's equation is: x²/8100 + y²/1900 = 1

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Answer:45 76 97 790 9786 99780 533455 6687878

Step-by-step explanation:

the mean absolute deviation is 4.24

Mean absolute deviation (MAD) is a measure of the average absolute distance between each data value and the mean of a data set. Similar to standard deviation, MAD is a parameter or statistic that measures the spread, or variation, in your data.

the given mean absolute deviation 5,11,2,7,16

mean = [tex]\frac{5+11+2+7+16}{5}[/tex]

mean = 8.2

Hence, the mean absolute deviation is given by:

[tex]M_{d}[/tex] = |5-8.2| + |11-8.2| +|2-8.2| +|7-8.2|+|16-8.2| / 5

     = 4.24

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Using percentages, we know that Joey has 37.5% of colored pairs of socks.

%, which is a relative figure used to denote hundredths of any quantity.

Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance.

Finding the percentage of a whole in terms of 100 is what percentage calculation is.

Both manual calculation and the use of internet calculators are options.

So, the percentage of colored pair of socks are:

We know that Joey has a total of 8 pairs of socks.

We also know that 5 pairs of socks are white.

Hence, the colored pair of socks will be:

8 - 5 = 3

Calculate its percentage as follows:

3/8 * 100

0.375 * 100

37.5%

Therefore, using percentages, we know that Joey has 37.5% of colored pairs of socks.

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Answer:

Step-by-step explanation:

39.06

Answer:

[tex]\textsf{1)\quad 48\;inches}[/tex]

[tex]\textsf{2)\quad$2\sqrt[3]{3}$\; inches}[/tex]

Step-by-step explanation:

Define the variables:

The rate of vibration of a string under constant tension varies inversely with the length of the string:

[tex]\boxed{y \propto \dfrac{1}{x} \implies y=\dfrac{k}{x}\quad\text{for a constant $k$}}[/tex]

Given values:

Substitute the given values of x and y into the formula and solve for k:

[tex]\implies 128=\dfrac{k}{24}[/tex]

[tex]\implies k=128 \cdot 24[/tex]

[tex]\implies k=3072[/tex]

Therefore, the equation is:

[tex]y=\dfrac{3072}{x}[/tex]

To find the length of a string that vibrates 64 times per second, substitute y = 64 into the equation and solve for x:

[tex]\implies 64=\dfrac{3072}{x}[/tex]

[tex]\implies x=\dfrac{3072}{64}[/tex]

[tex]\implies x=48[/tex]

Therefore, the length of a string that vibrates 64 times per second is 48 inches.

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

Define the variables:

The horsepower that a shaft can safely transmit varies jointly with its speed and the cube of the diameter:

[tex]\boxed{y \propto vd^3 \implies y=kvd^3\quad\text{for a constant $k$}}[/tex]

Given values:

Substitute the given values of y, v and d into the formula and solve for k:

[tex]\implies 45=k \cdot 100 \cdot 3^3[/tex]

[tex]\implies 45=k \cdot 100 \cdot 27[/tex]

[tex]\implies 45=2700k[/tex]

[tex]\implies k=\dfrac{45}{2700}=\dfrac{1}{60}[/tex]

Therefore, the equation is:

[tex]y=\dfrac{vd^3}{60}[/tex]

To find the diameter of the shaft in order to transmit 60 hp at 150 rpm, substitute y = 60 and v = 150 into the equation and solve for d:

[tex]\implies 60=\dfrac{150d^3}{60}[/tex]

[tex]\implies 3600=150d^3[/tex]

[tex]\implies d^3=\dfrac{3600}{150}[/tex]

[tex]\implies d^3=24[/tex]

[tex]\implies d=\sqrt[3]{24}[/tex]

[tex]\implies d=\sqrt[3]{8 \cdot 3}[/tex]

[tex]\implies d=\sqrt[3]{8} \sqrt[3]{3}[/tex]

[tex]\implies d=\sqrt[3]{2^3} \cdot \sqrt[3]{3}[/tex]

[tex]\implies d=2\sqrt[3]{3}[/tex]

Therefore, the diameter of a shaft that transmits 60 hp at 150 rpm is 2³√3 inches.

Qualitative data is used to represents the qualities , intention of human behavior and is basically based on observations and interview using open ended questions where as quantitative data is based on the statistical and mathematical data.

Explanation:

Difference between Quantitative and Qualitative data sources:

Qualitative data sources:

Quantitative data sources:

Therefore, qualitative data is used to represent the human behavior while quantitative data is for statistical and mathematical data.

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Answer:

x^3+8x^2+15x+25+51

x-2

There is a 1/12 chance that the three pairwise distances between the locations are smaller than the radius of the circle.

Here,

The first point can be placed anywhere on the circle because it doesn't matter where it is chosen.

A total of 120 degrees and a probability of 1/3 must be provided by the next point, which must be within an arc of 60 degrees on either side. The second point must be 60 degrees or less from the first two.

The third point can be located within an arc with a minimum area of freedom of 60 degrees and a chance of 1/6 if the first two locations are separated by 60 degrees. The third point can be located with a maximum degree of freedom of a 120 degree arc and a 1/3 chance if the first two points are the same.

Up to a maximum of 60 degrees away from the starting point, the likelihood changes linearly.

By averaging the probabilities at either end, we may discover 1/4, the typical likelihood we can position the third point based on a fluctuating second point.

The overall probability is 1 1/3 4 = 1/12.

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According to the hypothesis test, the correct statement of the p-value is mean value is against null hypothesis.

Hypothesis test:

In statistics, hypothesis test means a form of statistical inference that uses data from a sample to draw conclusions about a population parameter or a population probability distribution.

Given,

Here we need to find the correct statement of the p-value for the a hypothesis test for population proportion, you calculated the p-value is 0. 01 for the test statistic.

While we looking into the given question we have identified the value of p value of the test statistic is 0.01.

Then the correct statement of the p-value less than 0.01 will under normal circumstances mean that there is substantial evidence against the null hypothesis.

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There are 72% percent of the seats had people sitting on them.

What are ratios and percentages?

A ratio is a comparison of two quantities that are similar. Given any two similar quantities a and b, so a:b ratio is defined as a:b = a/b, where b0. The percentage is an abbreviation for 'by the hundred' or 'divide by one hundred.' The percentage, which means 'per 100,' is also used to compare quantities.

Given data:

Ratio of adults to children = 7 : 2

The proportion of children that had sit in the stalls = 4/5

Number of children that had sit in the Circle = 124 children

Number of seats at the theatre = 3,875

Let x represent the number of children, we have;

The number of children in the stalls = (4/5).x

Then the number of children in the circle = x - (4/5).x = 124

Solving this, we get

          x = 620

Given ratio is Number of adults/Number of children = 7:2

                    Number of adults/620 = 7/2

      So the number of adults = 2,170

Total number of peoples = 2170 + 620 = 2790

The percentage of the seats had people sitting on them

                                                                                                 [tex]=\frac{2790}{3875}\times100\\\\=72\%[/tex]

Hence, 72% percent of the seats had people sitting on them.

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Answer:

x-7

Explanation:

Subtract 5 5 from both sides of the equation. Subtract 5 5 from 12 12 . Divide each term in −x=7 by −1 and simplify. Divide each term in −x=7

Answer:

Step-by-step explanation:

After you know the equation of this line, you will be able to figure out the equation of the line that runs perpendicular to it. [11] To simplify. y − 6 = 3 2 ∗ ( x − 4) {\displaystyle {y}- {6}= {\frac {3} {2}}* ( {x}-4)} , first multiply all of the numbers in parentheses by the outer value to get.

The amount will be $412.91 after 8 years if $300 is invested at 4% interest compounded monthly.

Given:

Principal (P) = $300

rate of interest (r) = 4%

time (t) = 8 years.

compounded monthly.

Amount (A) = ?

we know the formula as:

A(t) = P(1+r/n)^nt

we know t=8

A(8) = 300(1+0.04/12)^12(8)

A(8) = 300(1+0.04/12)^96

A(8) = 300(1.033)^96

A(8) = $412.91

Hence amount after 8 years will be $412.91.

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Together the numbers a , b and c can be chosen in 4 ways.

Given:

when three positive integers $a, b$, and $c$ are multiplied together, their product is $100$ and a < b < c .

The positive divisors of 100 are :

1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100.

It is clear that :

10 ≤ c ≤ 50.

so we apply from c value 10.

if c = 10 ,  then ( a , b , c ) = ( 2 , 5 , 10 )

if c = 20 ,  then ( a , b , c ) = ( 1 , 5 , 10 )

if c = 25 ,  then ( a , b , c ) = ( 1 , 4 , 25 )

if c = 50 ,  then ( a , b , c ) = ( 1 , 2 , 50 )

we can observe ways = 4.

Therefore the number of ways is 4.

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The parallelism of the linear equations of two lines is clearly shown by the fact that both have the same slope. Due to the fact that they both have a slope of -2, they are parallel.

An equation is said to be linear if the maximum power of the variable is consistently 1.

Another name for it is a one-degree equation.

A linear equation with one variable has the conventional form Ax + B = 0.

In this case, the variables x and A are variables, while B is a constant.

So, there is a degree of 1 in these equations.

Knowing the lines' equation:

ab: 6x + 3y = 9

cd: 4x + 2y = 8

Afterward, write in slope-intercept form as follows:

ab: y = -2x + 3

cd = y = -2x +8

It is evident that both lines have the same slope, demonstrating their parallelism.

Therefore, the parallelism of the linear equations of two lines is clearly shown by the fact that both have the same slope. Due to the fact that they both have a slope of -2, they are parallel.

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To compare result to hypothesis, we will start by providing the key result from the each model and then compare and contrast them.

A hypothesis is usually a prediction based on some evidence. Hypothesis must be tested and once tested they can be supported by evidence if a statement is made that cannot be tested or disproof then it is not hypothesis

To compare we will start by providing the key result from the each model and then compare and contrast them then you can then provide any interpretation or future direction to some of the comparison

To prove or disprove your hypothesis you need to be able to do an experiment and take that measurement or make observation to see how two things are related

If you have hypothesis is not supported by the result of the experiment you should really realize the data in order to figure out why your result disprove your hypothesis

You should not alter the observation or experiment so that you reserve proof your hypothesis

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He will practice 40 m on piano if he spends 64 m practicing on guitar. It can be solve by the concept of word problems on multiplication of fraction.

What is fraction?

Fraction is a part of a whole number or quantity. It is written as 3/8, 4/9, etc.

Piano practice time = 5 m

Guitar practice time = 8 m

If he spend 8 minute practicing on guitar then he will spend on piano practice = 5 m

If he spend 1 minute practicing on guitar then he will spend on piano practice = 5m/8m

If he spend 64 minute practicing on guitar then he will spend on piano practice

[tex]=\frac{5m}{8m}64m\\=40 m[/tex]

Hence, he will practice 40 m on piano if he spends 64 m practicing on guitar. It can be solve by the concept of word problems on multiplication of fraction.

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The equations used to compare the two scenarios are as follows:

3.65x

300 + 1.35x

Identifying which variables values result in equality is part of solving a variable equation. The variables for which the equation must be solved are known as unknowns, whereas the unknown values that fulfill the equality are known as equation solutions. A mathematical expression with two equal sides separated by an equal sign is known as an equation. 4 + 6 = 10. We can see 4 + 6 on the left and 10 on the right side of the equal symbol.

We already have,

1) You often purchase a grande cafe latte from Starbucks, which costs $3.65.

This formula is:

Number of days = x

Total cost after x days = 3.65x

2) You spend $300 on an espresso machine and ingredients for lattes, which cost an extra $1.35 per day.

This formula is:

Number of days = x

Total cost after x days = 300 + 1.35x

Now, three days later,

3.65 x 3 = $10.95

300 + 1.35 x 3 = 300 + 4.05 = $304.05

Thus,

The equations used to compare the two scenarios are as follows:

3.65x

300 + 1.35x

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Answer:

Step-by-step explanation its is 0.72

i hoped this helped

The given case study can be categorized as an observational study .A correctly conducted observational study will never attempt to influence participants' reactions, in contrast to experimental designs, which by definition apply a treatment condition to some individuals.

It is debatable whether cell phones and cancer are related. Studies on cellphones and cancer have been conducted for a long time, with varying degrees of success. There isn't now agreement on the potential cancer risk posed by cellphone use.

The growth of cancer linked to cellphone use appears to be the main cause for concern regarding smartphones and cancer. Despite the fact that cellphone use wasn't prevalent in the 1970s, some research indicates a slight rise in the prevalence of cancer since that decade.

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Answer: 4.278695 × 10^7

Step-by-step explanation:

Answer: 4.2786950x10^7 or 4.2x10^7

Step-by-step explanation:

To convert a number to scientific notation, move the decimal.

42,786,950

At the and of this number, there is an understood decimal. To find the scientific notation version of it, move the decimal over to the left until you have only one digit to the left of the decimal, as such...

4.2786950

To then find what the exponent you're multiplying by, you count how many places you moved the decimal.

So in the end, you get 4.2786950x10^7

The following is the graph that displays the most trustworthy findings:

Choice C

A correlation coefficient is defined.

A measure of correlation between two variables, the correlation coefficient between two variables assumes values between -1 and 1.

The relationship is direct proportional if it is positive, and inverse proportional if it is negative.

Strong correlation exists between two variables if the correlation coefficient's absolute value is higher than 0.6.

This description leads us to conclude that the graph with the highest correlation coefficient is the most accurate, making Option C the proper choice.

Lack of Information

The two solutions to this problem are as follows:

Option B: Create a graph with a r = 0 correlation coefficient.

Option C: Create a graph with a r = 0.87 correlation coefficient.

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The subjects in Group 1 are those with the 50 lowest four-digit numbers. Group 2 is given the remaining subjects.

What a Random Situation Is Exactly. Any clearly defined procedure that yields an observable result that could not be entirely predicted beforehand is considered a random experiment. In order to avoid any ambiguity or surprise, a random experiment must be clearly defined.

List the subjects in alphabetical order by name.

A four-digit number at random, between 0001 and 9999 (inclusive), should be given to each subject using a table of random numbers.

Leaving out 4 digit that have already been allocated.

The subjects in Group 1 are those with the 50 lowest four-digit numbers. Group 2 is given the remaining subjects.

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(a) The rectangular arrays could the squares have been​ arranged as

1 by 135, 3 by 45, 5 by 27, 9 by 15, 15 by 9.

(b)  The rectangular arrays is of 1 by 23.

What is solar panel?

An assembly of photovoltaic solar cells installed on a frame (often rectangular) is known as a solar cell panel, solar electric panel, photo-voltaic (PV) module, PV panel, or solar panel. A well-organized collection of PV panels is known as a photovoltaic system or solar array. Sunlight is used by solar panels to collect radiant energy, which is then transformed into direct current (DC) power.

(a) Let a particular solar panel is 5 squares by 27 squares.

5 by 27 = 135 which can be arranged as,

1 by 135

3 by 45

5 by 27

9 by 15

15 by 9

(b) There were 23 ​squares.

The factors of 23 are 1, 23 only so there can be only 1 rectangular array of 1 by 23.

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Answer:   [tex]y = \frac{7}{6}x - \frac{23}{6}[/tex]

Work Shown:

[tex]y - y_1 = m(x - x_1)\\\\y - (-19) = \frac{7}{6}(x - (-13))\\\\y + 19 = \frac{7}{6}(x + 13)\\\\y + 19 = \frac{7}{6}x + \frac{7}{6}*13\\\\y + 19 = \frac{7}{6}x + \frac{91}{6}\\\\y = \frac{7}{6}x + \frac{91}{6} - 19\\\\y = \frac{7}{6}x + \frac{91}{6} - 19*\frac{6}{6}\\\\y = \frac{7}{6}x + \frac{91}{6} - \frac{114}{6}\\\\y = \frac{7}{6}x + \frac{91-114}{6}\\\\y = \frac{7}{6}x - \frac{23}{6}\\\\[/tex]

Answer:

1. y=5

2. y=2x-1

3.y=-2x+1

4. y=-(1/2x)+1

Step-by-step explanation:

1. y=y-intercept. y=5.

2. 2x=mx=slope. -1=b=y-intercept

3. 2x=mx=slope. 1=b=y-intercept

4. -(1/2x)=mx=slope. 1=b=y-intercept

-Hope this helped

Answer:

4p³z - 14z +13

Step-by-step explanation:

(5p³z -9z +9) - (p³z +5z -4)

the - multiplies the bracket

5p³z -9z +9 -p³z -5z +4

collect like terms

5p³z -p³z -9z -5z +9+4

4p³z - 14z +13