Fill in the table for side length and area of different squares.
side length (cm) area (cm2

3
100
25
s

Answer:

4: 1,4, 2,2

6: 1,6,2,3

Step-by-step explanation:

So it is basically 2

Answer:

12, 24, 36

Step-by-step explanation:

multiples of the number 4 is 4, 8, 12, 16, 20, 24...

multiples of 6 are 6, 12, 18, 24, 30, 36

Answer:

5x² - 2y²

Step-by-step explanation:

(3x² + xy - 5y²) + (2x² - xy + 3y²)

since you are adding these polynomials, you can remove the parentheses without changing any signs

3x² + xy - 5y² + 2x² - xy + 3y²

align like terms next to each other

3x² + 2x² - 5y² + 3y² + xy - xy

combine like terms

5x² - 2y²

Answer:

Step-by-step explanation:

Then, the total time, which is 2 hours, is equal to x plus 7x, or 8x. So the amount of time he spends in the automobile is x=1/4 hour. The distance he travels in 1/4 hour at 28 mph is 7 miles.

pls mark brainliest

Answer:

\(x = \frac{10}{3}\)

Answer:

x =  10/3

Step-by-step explanation:

x - 1/2x + 2 = -x + 7

1/2x + 2 = -x + 7

       -2          -2

1/2x = -x + 5

+x       +x

3/2x = 5

x2/3  x2/3

x =  10/3

Answer: 40

Step-by-step explanation:

3(11)+7=40

how i solved for x

3x+7=5x-15 and than just solve for it, you get the same answer if you do 3x+7=51-x

The standard error of the estimate is 0.47895943. It tells us that the average distance between the predicted values and the actual values of petal length is about 0.479 cm.

They may stand for adoration, courage, hope, faith, and wisdom. Additional meanings are attached to particular flower hues. A bouquet of blue iris flowers conveys a message of optimism and trust, while purple iris conveys knowledge and praise.

The interpretation of the confidence interval for the regression y-intercept is:

The Iris Flower Data Set regression output shows that we are using petal width to predict petal length.

The multiple R value is 0.962746025, which indicates a strong positive correlation between petal width and petal length.

The R Square value is 0.926879908, which means that approximately 92.7% of the variation in petal length can be explained by petal width.

The significance F value is 1876.067473, and the associated p-value is 5.90274E-86. This indicates that the overall regression model is statistically significant, and that at least one of the predictors (petal width) is significantly related to the response variable (petal length).

The regression equation for predicting petal length based on petal width is:

petal length = 1.079463302 + 2.232113915(petal width)

The standard error of the estimate is 0.47895943. It tells us that the average distance between the predicted values and the actual values of petal length is about 0.479 cm.

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Complete question -

The standard form of the equation include the following:

9. \(\frac{3}{4}x + \frac{1}{8}y=-1\)

10. -10x + 5y = 35

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Similarly, the standard form of the equation of a straight line is given by this mathematical equation;

Ax + By = C.

Question 9.

1/8(y) = -3/4(x) - 1

3/4(x) + 1/8(y) = -1

\(\frac{3}{4}x + \frac{1}{8}y=-1\)

Question 10.

5y = 35 + 10x

-10x + 5y = 35

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Answer:

7 and 3

Step-by-step explanation:

7 + 3 = 10

7 - 3 = 4

To find the probability P(0.1 < (Y1)^2 + (Y2)^2 < 6), where Y1 = 3 - (1/2)(X1 + X2) and Y2 = X1 - X2, the expression is simplified and involves the bivariate normal distribution, requiring numerical methods or specialized software to evaluate the integral within the specified range.

To find P(0.1 < (Y1)^2 + (Y2)^2 < 6), we need to determine the probability that the sum of squares of Y1 and Y2 falls within the specified range.

Given that Y1 = 3 - (1/2)(X1 + X2) and Y2 = X1 - X2, we can rewrite the expression (Y1)^2 + (Y2)^2 as follows:

(Y1)^2 + (Y2)^2 = (3 - (1/2)(X1 + X2))^2 + (X1 - X2)^2

Expanding this expression, we get:

(Y1)^2 + (Y2)^2 = 9 - 3(X1 + X2) + 1/4(X1 + X2)^2 + X1^2 + X2^2 - 2X1X2

Simplifying further:

(Y1)^2 + (Y2)^2 = 9 - (3/2)(X1 + X2) + 1/4(X1^2 + 2X1X2 + X2^2) + X1^2 + X2^2 - 2X1X2

Combining like terms:

(Y1)^2 + (Y2)^2 = 9 - (3/2)(X1 + X2) + (5/4)(X1^2 + X2^2) + (1/4)(2X1X2)

Next, we substitute the correlation between X1 and X2, which is given as 1/2:

(Y1)^2 + (Y2)^2 = 9 - (3/2)(X1 + X2) + (5/4)(X1^2 + X2^2) + (1/4)(2X1X2)

= 9 - (3/2)(X1 + X2) + (5/4)(X1^2 + X2^2) + (1/4)(2 * (1/2) * X1X2)

= 9 - (3/2)(X1 + X2) + (5/4)(X1^2 + X2^2) + (1/4)(X1X2)

Now, we can rewrite the inequality 0.1 < (Y1)^2 + (Y2)^2 < 6 in terms of the expression we obtained:

0.1 < 9 - (3/2)(X1 + X2) + (5/4)(X1^2 + X2^2) + (1/4)(X1X2) < 6

To simplify the expression further, we can rearrange the inequality:

-8.9 < -(3/2)(X1 + X2) + (5/4)(X1^2 + X2^2) + (1/4)(X1X2) < -3.1

Now, we need to calculate the probability P(-8.9 < -(3/2)(X1 + X2) + (5/4)(X1^2 + X2^2) + (1/4)(X1X2) < -3.1) under the given bivariate normal distribution with mean values of 0, variances of 1, and correlation of 1/2.

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Answer:

x=-1 y=2

Step-by-step explanation:

Use Elimination or Substitution (Elimination shown below)

6x+5y=4

6x-7y =-20 <- Multiply by -1

-6x+7y=20

12y = 24

y=2

Plug back into either of the equations and solve for x.

6x + 10= 4

6x = -6

x = -1

Double check work:

-6+10 = 4

Answer:

90-56= 34

good luck!

Answer:

90-56=34

Step-by-step explanation:

90 degrees minus the given amount of the other degrees will give u the answer 90-56=34

The predicted income increases by $2,500, holding all other variables constant.

To interpret a regression coefficient based on standardized data using unstandardized units, you need to use the formula for converting standardized coefficients to unstandardized coefficients:

B(unstandardized) = B(standardized) * (SDY/SDX)

where B(unstandardized) is the unstandardized coefficient, B(standardized) is the standardized coefficient, SDY is the standard deviation of the dependent variable, and SDX is the standard deviation of the independent variable.

Once you have calculated the unstandardized coefficient, you can interpret it using the units of the original variables. For example, if you are predicting income (in dollars) based on education level (measured in years of schooling), and the regression coefficient for education level is 0.5 (standardized), and the mean income is $50,000 and the standard deviation is $10,000, and the mean education level is 12 years and the standard deviation is 2 years, then the unstandardized coefficient is:

B(unstandardized) = 0.5 * (10,000/2) = 2,500

This means that for every additional year of education, the predicted income increases by $2,500, holding all other variables constant.

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Answer:

20=x

Step-by-step explanation:

x-11=9

if you switch the equation its 11+9=x

11+9= 20

20-11=9

Answer:

x - 11 = 9

   +11   +11

     x = 20

Step-by-step explanation:

Answer:

(x + 3) (x + 4)

Answer:  b

Step-by-step explanation:

I think

Answer: 8

Step-by-step explanation:

The value of h that causes the system to be inconsistent is h = 15. the value of h that causes the system to be inconsistent, we can use the determinant method.

The determinant of a system of equations is given by : \(| a b c || d e f || g h i |\)
Where a, b, c, d, e, f, g, h, and i are the coefficients of the variables in the system of equations. If the determinant is equal to zero, then the system is inconsistent.

For the given system of equations:\(x + y - 2z = -12x + hy - z = 3x + 3y + 2z = 1\)
The determinant is:
\(| 1 1 -2 || 2 h -1 || 1 3 2 |\)
Determinant by using the formula:
\(D = aei + bfg + cdh - ceg - bdi - afh\)


Plugging in the values from the determinant:
\(D = (1)(-1)(2) + (1)(-1)(3) + (-2)(2)(3) - (-2)(-1)(3) - (1)(2)(2) - (1)(h)(-1)\)
Simplifying:
D = -2 - 3 - 12 + 6 - 4 + h
D = -15 + h

For the system to be inconsistent, the determinant must be equal to zero: -15 + h = 0, Solving for h: h = 15. Therefore, the value of h that causes the system to be inconsistent is h = 15.

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The sample mean of the weights at the birth of the randomly chosen infants is 7.6 pounds.

Given: The sample of seven infants was selected randomly and the weights are: {9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6} (in pounds)

What is a sample?

A sample can be defined as a part of something big or a whole. It can be some of the elements from a given set of elements.

For example: Let us consider the set of natural numbers. The set of natural numbers has an infinite number of elements in it. We choose some numbers from the set, say {2, 7, 9, 10, 99, 200, 234}. These chosen numbers are known as samples from the set of natural numbers.

What is the sample mean?

The sample mean is the average value of the samples or it is the mean of all the elements which exist in the given sample.

The sample mean is denoted by x⁻ which is pronounced as x bar.

The formula to calculate sample mean (x⁻) is:

Sample Mean (x⁻) = Summation of all the elements in the sample / Total number of elements in the sample.

x⁻ = ∑xₙ / n

where,

∑xₙ = Summation of all the elements in the sample

n = Total number of elements in the sample

x⁻ = Sample mean

Now let's solve the given question:

The given sample is {9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6}

The summation of the elements in the sample is:

∑xₙ = 9.0 + 7.3 + 6.0 + 8.8 + 6.8 + 8.4 + 6.6

∑xₙ = 52.9

The total number of elements in the sample is:

n = 7

Therefore, the sample mean (x⁻) is:

x⁻ = ∑xₙ / n

x⁻ = 52.9 / 7

x⁻ = 7.5571 ≈ 7.6

Hence the sample mean of the weights at the birth of the randomly chosen infants is 7.6 pounds.

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Disclaimer: The question is incomplete. The complete question is mentioned below:
Question: A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. What is the sample mean?

where is the question

Answer:

hi

Step-by-step explanation:

hi

The riddle mentioned in the question is about a farmer who is traveling along with a sack of rye, a goose, and a mischievous dog.

He comes to a river that he must cross from east to west, and there is a boat available to do so.  Therefore, the farmer takes the goose back to the east side and leaves it there. He then takes the sack of rye across the river, drops it off with the dog, and goes back to the east side to pick up the goose. In this manner, all of the farmer's possessions can be safely transported across the river without any of them being lost to the dog or the goose.This riddle is a classic example of a type of logical puzzle known as a "transport problem."

The goal of a transport problem is to determine how to transport one or more objects from one location to another while satisfying certain constraints, such as the size of the transport vehicle or the safety of the objects being transported.

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Answer:

-31 feet

Step-by-step explanation:

so, -25 is the start point.

he goes anither -13 feet, so hes at -38.

he rises 7 feet, so hes at -31 feet.

Answer:

9 u^2

Step-by-step explanation:

there's 2 ways to solve this problem

easy way

plot every coordinate and youll see it's a square

square area = side^2

3^2 = 9 answer

and this method

working with 3 points (triangle)

W - X - Y

0       0                

0       3

-3       3

0       0

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

    2

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

0      0

0      -9

0      0

-----------

l-9/2l

4.5

since a square is made of 2 triangles

4.5 * 2 = 9 u^2

The percent error is a measure of the accuracy of a measurement compared to the accepted or true value. The percent error is 400%. It is calculated using the formula:

Percent error = (|Measured value - True value| / True value) * 100

When the value obtained for density is smaller, it means that the measured value is closer to zero. In this case, even a small difference between the measured value and the true value will result in a larger percent error. This is because the denominator of the percent error formula (the true value) is small.

For example, let's say the true value of density is 1 g/cm^3 and the measured value is 0.5 g/cm^3. The percent error would be:

Percent error = (|0.5 - 1| / 1) * 100 = 50%

Now, let's consider a larger measured value of 5 g/cm^3:

Percent error = (|5 - 1| / 1) * 100 = 400%

As you can see, the percent error is larger when the measured value is smaller. This is because the absolute difference between the measured value and the true value is relatively larger when the true value is small.

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To find the exact value, we would need to evaluate the definite integral, but it may not be practical to do so without further information or using numerical methods.

To find the average value of a function on a closed interval, you need to calculate the definite integral of the function over that interval and divide it by the length of the interval. In this case, we want to find the average value of the function f(x) = 3xsin(x) on the interval 1 ≤ x ≤ 7.

The average value of f on the interval [1, 7] is given by the formula:

Average value = (1/(b - a)) * ∫[a to b] f(x) dx

where a and b are the endpoints of the interval.

In our case, a = 1, b = 7, and f(x) = 3xsin(x). So, we can calculate the average value as follows:

Average value = (1/(7 - 1)) * ∫[1 to 7] (3xsin(x)) dx

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Answer:The statement that incorrectly describes how the graphs of f(x) and g(x) are related is B:The graph of f(x) is shifted 4 units up to create the graph of g(x).

The function f(x) is given as:

f(x) = -34x – 1

The function g(x) is given in terms of f(x) as:

g(x)  =  -4f(x)

Substitute f(x) = -34x - 1 into g(x)

g(x)  =  -4(-34x - 1)

g(x) = 136x  +  4

Find the x-intercept of f(x)

Let f(x) = 0

0 = -34x - 1

x  =  -1/34

The x-intercept of f(x) = (-1/34, 0)

Find the x-intercept of g(x)

Let g(x) = 0

0 = 136x + 4

x  =  -4/136

x  =  -1/34

The x-intercept of g(x) = (-1/34,  0)

It is true that the graph of f(x) has the same x-intercept as the graph of g(x)

The y-intercept of f(x) is -1 and the y-intercept of g(x) = -4

It is true that the y-intercept of f(x) is 5 units below the y-intercept of g(x)

The slope with a greater absolute value is steeper.

The slope of g(x) is greater than that of f(x), therefore, the graph of g(x) is steeper.

The only incorrect statement is option B. The graph of f(x) is shifted 4 units up to create the graph of g(x)

Step-by-step explanation:

Since each side of the pen is being increased by 4 feet, the total increase in perimeter would be 4 feet multiplied by 4 sides, which equals 16 feet.

To determine how many feet of additional fence Craig should purchase, we need to calculate the increase in the perimeter of the enlarged pen. Therefore, Craig should purchase an additional 16 feet of fence to build his enlarged fence.

The original size of the pen is an 8 by 8 feet square, which means each side measures 8 feet. The perimeter of the original pen is calculated by adding up the lengths of all four sides, so 8 + 8 + 8 + 8 = 32 feet.

To enlarge the pen, Craig decides to increase each side by 4 feet. After the enlargement, each side of the pen would measure 8 + 4 = 12 feet. The perimeter of the enlarged pen is calculated in the same way, by adding up the lengths of all four sides: 12 + 12 + 12 + 12 = 48 feet.

To find the additional fence Craig needs to purchase, we subtract the original perimeter from the enlarged perimeter: 48 feet - 32 feet = 16 feet. Therefore, Craig should purchase an additional 16 feet of fence to build his enlarged fence.

This calculation is based on the assumption that the pen remains a square shape after enlargement. If the shape of the enlarged pen differs from a square, the calculation would vary.

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The  trigonometry angle range -π ≤ α ≤ π in radians means angle α is

To answer the question, we need to know what a trigonometric angle range is

A trigonometric angle range is the range of values which the trigonometric angle can have

Since we need to find the meaning of the  trigonometry angle range -π ≤ α ≤π.

We know that

Since α is in the range -π ≤ α ≤ π = -180° ≤ α ≤ 180°, this implies that the angle α is

So, the  trigonometry angle range -π ≤ α ≤ π in radians means that angle α is

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Answer:

Step-by-step explanation:

it no solution

No solution is parallel to each other.

solution crosses each other.

infinite is only one line.

The equations of the line parallel to the z-axis and passing through the midpoint between the two given points are x = -1, y = 0.5, and z = t, where t represents the distance along the z-axis.

Since the line is parallel to the z-axis, its direction vector will be (0, 0, 1). Now, let's find the midpoint between the two given points:

Midpoint = ((0 + (-2))/2, (-2 + 3)/2, (7 + 5)/2)

= (-1, 0.5, 6)

Therefore, the line parallel to the z-axis and passing through the midpoint (-1, 0.5, 6) can be represented by the following set of parametric equations:

x = -1 (remains constant)

y = 0.5 (remains constant)

z = t (where t is a parameter representing the distance along the z-axis)

In Cartesian form, the equation of the line can be written as:

x = -1

y = 0.5

z = t

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