HELP!!!!!
simplify. show the steps. (3x^2y^4)^3

Answer:

The solutions to the given equations are x = 4, x = -4, x = 3y, x = -3y, 1/5x = 8y, and 1/5x = -8y.

Step-by-step explanation:

These are all algebraic expressions, which are combinations of variables, numbers, and mathematical operations. The first expression, 16 - x^2, is an example of a difference of squares. The second expression, x^2 - 9y^2, is also a difference of squares. The third expression, 1/25x^2 - 64y^2, is a difference of squares with a fractional coefficient in front of the first term.

To solve an equation, we need to find the values of the variables that make the equation true.

For the first equation, 16 - x^2, we can solve it by adding x^2 to both sides to get rid of the negative sign. This gives us 16 = x^2, and then we can take the square root of both sides to get x = +/- 4. Therefore, the solutions to this equation are x = 4 and x = -4.

For the second equation, x^2 - 9y^2, we can solve it by factoring the left-hand side to get (x - 3y)(x + 3y) = 0. This means that the product of the two factors on the left-hand side must be equal to 0, so either x - 3y = 0 or x + 3y = 0. Solving each of these equations separately, we get x = 3y and x = -3y. Therefore, the solutions to this equation are x = 3y and x = -3y.

For the third equation, 1/25x^2 - 64y^2, we can solve it by factoring the left-hand side to get (1/5x - 8y)(1/5x + 8y) = 0. This means that the product of the two factors on the left-hand side must be equal to 0, so either 1/5x - 8y = 0 or 1/5x + 8y = 0. Solving each of these equations separately, we get 1/5x = 8y and 1/5x = -8y. Therefore, the solutions to this equation are 1/5x = 8y and 1/5x = -8y.

In summary, the solutions to the given equations are x = 4, x = -4, x = 3y, x = -3y, 1/5x = 8y, and 1/5x = -8y.

The statement mentioned in the question is True.

The sample size of a survey is determined by the variability believed to be in the population, the acceptable margin of sample error, and the level of confidence required in estimates of the population values. These elements are important considerations when designing a survey because they help to ensure that the results of the survey are reliable and accurately reflect the characteristics of the population being studied.

To calculate the proper sample size for a survey, you need to first determine the size of the population being studied and the level of precision you want to achieve in your estimates. You also need to consider the level of confidence you want to have in your estimates and the acceptable margin of error for your survey. Once you have all of this information, you can use a sample size calculator or a statistical formula to determine the appropriate sample size for your survey.

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Answer: A

Step-by-step explanation: the other guy is wrong

The solution is y = 2500/27

The value of y is 2500/27 when x = 5

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the proportionality constant be represented as = k

Now , the value of k is calculated by

y is directly proportional to the cube of x

Substituting the values in the equation , we get

y ∝ x³

On simplifying the equation , we get

y = kx³   where k is the proportionality constant

Now ,

when x = 3 , y = 20

Substituting the values in the equation , we get

20 = k ( 3 )³

20 = k x 27

Divide both sides by 27 , we get

k = 20/27

So , the proportionality constant k = 20/27

Now , when x = 5 ,

y = 20/27 ( 5 )³

y = ( 20 x 5 x 5 x 5 ) / 27

y = 2500/27

Therefore , the value of y is 2500/27

Hence ,

The value of y is 2500/27 and the proportionality constant is 20/27

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The proof that tan(x) sin(x) + cos(x) = sec(x) is represented by the trigonometric equation sec(x) = sec(x)

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

tan(x) sin(x) + cos(x) = sec(x)

Express tan(x) as sin(x)/cos(x)

So, we have the following representation

sin(x)/cos(x) * sin(x) + cos(x) = sec(x)

Evaluate the products

So, we have the following representation

sin²(x)/cos(x)  + cos(x) = sec(x)

Take the LCM

[sin²(x) + cos²(x)]/cos(x) = sec(x)

Express sin²(x) + cos²(x) as 1

So, we have

1/cos(x) = sec(x)

Evaluate

sec(x) = sec(x)

Hence, the equation has been proved

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the answer is 142.24 cm

Answer:

142.24 centimeters tall

Step-by-step explanation:

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The indigo line is longer than the white line by 5.2 inches.

A line is a one-dimensional figure that has length but no width.

The length of the indigo line can be represented as I and the length of the white line as W.

The length of the indigo line is 11 4/5, i.e., I = 11 4/5 = 11.8

The given length of the white line is 6 3/5, i.e. W = 6 3/5=  6.6

The difference in length between the indigo and white lines is given by

I-W =  11.8 - 6.6 = 5.2

Hence, the indigo line is 5.2 inches longer than the white line.

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Answer:

-3

Step-by-step explanation:

f(-5) = (-5)2 + 7

= -10 + 7

= -3

Answer: x=12

Step-by-step explanation: PEMDAS

first solve the parentheses. that would make the equation 5x-5+3x=7x+7. Since there are no exponents, we don't need to do the e. no multiplication or division. so now we add and subtract to get x. first ill subtract 3x from both sides. 5x-5=4x+7. now subtract 5x from both sides. -5=-x+7. after that, subtract 7 from both sides. -12=-x. then divide by -1 so we can get only x and not a negative x. 12=x. so, the answer is x=12.  

The equation that gives the tree's height at any time in slope-intercept form is y = (9/2)x + 5. Select 2nd option

The slope-intercept form equation of a line can be given as y = mx + c

where m is the slope and c is the y-intercept

Let y and x represent the height and time respectively

slope (m) =  y2-y1 / x2-x1

where x1 = 2, y1 = 14 and x2 = 4, y2 = 23 (from table)

m = 23-14 / 4-2 = 9/2

y = mx + c

14 = (9/2 )×2 + c

14 = 9 + c

c = 14-9 = 5

put m = 9/2 and c = 5 into y = mx + c. Thus, the equation will be:

y = (9/2)x + 5

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Answer:

Its gotta be (6, 5)

Step-by-step explanation:

If we look at the sequence, the x coordinates are 2, -2, 4, -4. In the first & third x coordinates, there is an increment of 2 i. e. first 2 and then 2+2=4 so the fifth x coordinate should be 4+2=6.

The y coordinates are 3, 5, 4, 5. In the first and third y coordinates, there is an increment of 1 i. e. first 3 and then 3+1=4 so the fifth y coordinate should be 4+1=5.

The sequence goes like this

(2, 3), (-2, 5), (4, 4), (-4, 5), (6, 5), (-6, 5), (8, 6), (-8, 5), and so on

Answer:

Good question

yes so the answer will be on your screen in

3

2

1

here it is

Step-by-step explanation:

did u get it

Answer:

Step-by-step explanation:

The correlation coefficient between 1 and v(n) is -0.913, and this coefficient indicates a strong negative linear association. The correlation coefficient is a measure of the strength and direction of the relationship between two variables. In this case, the correlation coefficient is -0.913, which indicates a strong negative relationship between 1 and v(n). This means that as the value of 1 increases, the value of v(n) decreases, and vice versa. This relationship is linear, which means that it can be described by a straight line. Overall, the correlation coefficient indicates a strong negative linear association between 1 and v(n).

Answer:

1.) 0.25

2.) 0.50

3.) 0.125

4.) 2.25

Step-by-step explanation:

When turning percentages into decimals, you move the decimal point two places to the left.

EX:

25%

25.0 (move the decimal point two places to the left)

2.5

.25

0.25 (add any zeros if necessary)

Hope this helps!!

It doesn't matter where the decimal point is in a percentage, as long as you move the point two places to the left, you are still turning it into a decimal.

Answer:

To determine the test statistic for this problem, we need to first calculate the standard error of the mean. This is given by the formula:

Standard error of the mean = Standard deviation / sqrt(n)

where n is the number of samples in the population. In this case, the standard deviation is 1 minute and the number of samples is 20, so the standard error of the mean is equal to 1 / sqrt(20) = 0.22.

We can now use this value to calculate the test statistic, which is given by the formula:

Test statistic = (Sample mean - Population mean) / Standard error of the mean

In this case, the sample mean is 3.7 minutes, the population mean is less than 3.5 minutes, and the standard error of the mean is 0.22. Since the population mean is less than 3.5 minutes, we will use 3.5 as the value for the population mean in our calculation. Plugging these values into the formula, we get:

Test statistic = (3.7 - 3.5) / 0.22 = 0.22 / 0.22 = 1

Therefore, the test statistic for this problem is 1. This value indicates that the sample mean is slightly higher than the population mean, but not by a significant amount.

Answer:

the slope is same, so y=-x+5 (x=7, y=-2 insert)

Only if (C) p(-4) = 0 will x + 4 be the polynomial p's factor.

A factor is a number that completely divides another number.

To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

There is therefore no residual after division.

The numbers you multiply together to obtain another number are called factors.

A factor is therefore another number's divisor.

So, this is only true if, and only if, x + 4 is a factor of the polynomial p.

x + 4 = 0

x = -4

Comply with the polynomial equation that is:

p(-4) = 0

Therefore, only if (C) p(-4) = 0 will x + 4 be the polynomial p's factor.

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Complete question:
If (x + 4) is a factor of polynomial p, which statement must be true?

A.p(4) = 0

B. p(-4) > 0

C. p(-4) = 0

D. p(4) < 0

How do I solve for x?

Apply arithmetic operations to both sides of the equation to bring the variable to one side and all other values to the other side in order to find the value of x. To determine the outcome, simplify the values.

Meaning of y = mx + b

The slope-intercept formula for a straight line is y = mx + b. m is referred to as the line’s slope and b is referred to as the line’s y-intercept in the equation y = mx + b for a straight line. Y = mx+b, where

Y ⇒  how far up or down is the line,

X  ⇒ how far along is the line,  

B ⇒ the value of y when x = 0 and

M ⇒ how steep the line is.

This is determined by m = (difference in y coordinates)/ (difference in x coordinates).

1. we have to determine a straight line equation that models the cost of High-Efficiency washing machine over the years;

Slope of the line = change in y / change in x

                            = [tex]\frac{550-525}{2-1}[/tex]

                            = 25

Equation will be

y= 25x+c

Where y is the cost of the High-Efficiency washing machine and x the number of years.

To find c we take points from table,

525= 25×1+ c

c= 525-25

c= 500

Therefore, y= 25x+ 500

2. we have to determine a straight line equation that models the cost of Standard washing machine over the years;

Slope of the line = [tex]\frac{430-400}{2-1}[/tex]

                            = 30

Equation will be,

y= 30x+c

where y is the cost of the Standard washing machine and x the number of years.

To find c we take points from table,

430= 30×1+ c

c= 430-30

c= 400

Therefore, y= 30x+ 400

3. Given the cost functions for both machines over the number of years, we simply equate the two equations and determine the value of x when both machines would cost the same amount;

y= 25x+ 500

y= 30x+ 400

Equating both equations,

30x+ 400= 25x+ 500

30x- 25x= 500-400

5x= 100

x =[tex]\frac{100}{5}[/tex]

x= 20

Therefore, the washing machines would cost the same amount after 20 years of use.

4. To determine which machine would be the more practical purchase if kept for 9 years we use the cost functions obtained in 1. and 2.

High-Efficiency washing machine

y= 25x+ 500

y= 25×9+ 500

y= 725

Standard washing machine

y= 30x+ 400

y= 30×9+ 400

y= 670

Therefore, the cost for the Standard washing machine is more practical.

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In linear equation with two variables "ax + by = c", a and b cannot be equal to Zero. which is the correct answer would be an option (A).

In a linear equation with two variables "ax + by = c", a and b can be any real numbers, including zero and integers. They can also be irrational numbers or rational numbers.

There is no restriction on the values of a and b in this equation.

As per the question, the following are all valid linear equations :

x + 0y = 2 ⇒ x = 2

0x + y = 1 ⇒ y = 1

Here above linear equations having only one variable so a and b cannot be equal to zero.

Thus, in a two-variable linear equation, a and b cannot be equal to zero.

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Answer:

It is 11-9/16

Step-by-step explanation:

Answer:

The length of a 200 meter race in inches can be calculated by converting the distance to meters and then multiplying by the number of inches per meter. Since there are 0.0254 meters in one inch, the length of a 200 meter race in inches is 200 * 0.0254 = 5.08 meters.

Usain Bolt's feet per second average speed over the 200 meter race distance can be calculated by dividing the length of the race in feet by the time it took him to run it. Since there are 3.281 feet in one meter, the length of the race in feet is 5.08 * 3.281 = 16.63 feet. Dividing this distance by Bolt's world record time of 19.19 seconds, we get a feet per second speed of 16.63 / 19.19 = 0.864 feet per second.

To convert Bolt's feet per second speed to miles per hour, we can multiply it by the number of feet in one mile and the number of seconds in one hour. Since there are 5280 feet in one mile and 3600 seconds in one hour, Bolt's speed in miles per hour is 0.864 * 5280 / 3600 = 1.3 miles per hour.

Hello,

I hope you and your family are doing well!

To find the amount of simple interest earned by Min Kurata's money, we can use the formula:

I = P * r * t

Where I is the amount of interest earned, P is the principal (the initial amount deposited), r is the annual interest rate, and t is the time in years.

In this case, the principal is $875, the annual interest rate is 4%, and the time is 3 months. Since the time is given in months, we need to convert it to years by dividing it by the number of months in a year (12):

t = 3 months / 12 months/year = 0.25 years

Plugging these values into the formula gives:

I = $875 * 0.04 * 0.25 = $35

So Min Kurata's money earned $35 in simple interest.

To find the total amount in the account, we can add the amount of interest to the principal:

total amount = $875 + $35 = $910

So the total amount in the account after 3 months is $910.

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Happy Holidays!

Lin needs a 45-meter head start as  Lin will travel 120 meters in 30 seconds, and Diego will travel 165 meters in 30 seconds.

Time = 30 sec

Lin's speed = 4m/s

Diego's speed = 5.5m/s

Distance travelled by ,

Lin = speed * time = 4 * 30

= 120 m

Diego = 5.5 * 30

= 165

Therefore, Diego will travel 45 m more than Lin in 1 sec.

Therefore, the head start should be of 45m.

The most crucial scientific notion is measurement is speed . Base or physical fundamental units are used to quantify a wide range of quantifiable quantities. One such measurable metric is speed, which calculates the ratio between the distance an object travels and the time needed to cover that distance.

The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

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Answer:

1. $19.80

2. 0.92

3. 40.87

4. 119.94

5. 7.41

6. 0.615

Step-by-step explanation:

1. $3.96 x 5 = $19.80

2. 0.023 x 40  

⇒ 0.023 x 10 = 0.23

⇒ 0.23 x 4 = 0.92

3. 0.67 x 61

⇒ 0.67 x 1 = 0.67

⇒ 0.67 x 60 = 40.2

⇒ 0.67 + 40.2 = 40.87

4. $19.99 x 6

⇒ 19.99 x 6 = 119.94

5. 0.13 x 57

⇒ 0.13 x 50 = 6.5

⇒ 0.13 x 7 = 0.91

⇒ 6.5 + 0.91 = 7.41

6. 0.041 x 15

⇒ 0.041 x 10 = 0.41

⇒  0.041 x 5 = 0.205

⇒ 0.41 + 0.205 = 0.615

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The equivalent equation of the equation given as 1/5x - 3 - 2/3 is 1/5x - 11/3

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

1\5x-3-2\3

The fractions can be properly expressed as

1/5x - 3 - 2/3

Next, we evaluate the difference between -3 and -2/3

So, we have the following representation

1/5x - 3 - 2/3 = 1/5x - (9 + 2)/3

Evaluate the like terms

So, we have the following representation

1/5x - 3 - 2/3 = 1/5x - (11)/3

Remove the brackets

This gives

1/5x - 3 - 2/3 = 1/5x - 11/3

Hence, the equivalent equation is 1/5x - 11/3

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Therefore, the number of significant figures is 4.

Significant figures are the digits of a number that are meaningful in terms of accuracy or precision. These digits indicate the precision of a calculation or measurement.

Given:

exponential notification is,

2.6 ×[tex]10^{-15}[/tex]

=365500

(real number)

= 3.655 × [tex]10^{5}[/tex]

(scientific notation)

= 3.655e5

(scientific exponential notation)

Therefore, the number of significant figures is 4.

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10 is the probability that hamid guesses both answers correctly .

What is the simple definition of probability?

A probability is a number that expresses the possibility or likelihood that a specific event will take place.

                    Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

the likelihood that Hamid will correctly guess both answers

    = 2/5x1/4 = X

    = 0.4x0.25 = X

    = 0.1 = X

    = 0.1x 100 = 10

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