I need help with this question ​

Answer:

4, 49

Step-by-step explanation:

If you find the square root of 4 it is 2, making it a perfect square.

if you find the square root of 49, it is 7.

finding a perfect square is easy, simply multiply a smaller number by itself, (7x7) or (2x2) and you will find that is the square root, usually, however there are always some exceptions. A number can always have a smaller square root like √10 is 3.16227766

Finding a square root of a number is the opposite of squaring a number.

TRUE

Squaring a number means multiplying the number by itself.

TRUE

\(81\)

\(49\)

\(144\)

\(625\)

and

\(576\)

are all examples of perfect squares.

The dependent variable is the variable that depends on the value of other variable and keeps on changes with change in the value of one variable. The values given in the table 3 matches the equation and includes the viable solutions.

The number of loaves of bread purchased and the total cost of the bread in dollars can be modeled by the equation,

\(c=3.5b\)

The quantity of the bread depends on the quantity of the loaves.

The dependent variable is the variable that depends on the value of other variable and keeps on changes with change in the value of one variable.

Lets check which table satisfy the above equation.

Table 1-

In the table the first values of the bread and the loves is -2 and -7. The quantity of a bread and loves can not be negative. Thus the table 1 does not provides the viable solution.

Table 2-

In the table 2 the value of the third row is 1.5 loaves and 5.25 breads. Check this by the given equation. When the value of loaves is 1.5 then the value of the bread is,

\(c=3.5\times1.5\)

\(c=4.5\)

The value of bread must be 4.5. Thus the table 2 does not provides the viable solutions.

Table 3-

Put the values of the loaves in the given equation one by one,

When the value of loaves is 0 then the value of the bread is,

\(c=3.5\times0=0\)

When the value of loaves is 3 then the value of the bread is,

\(c=3.5\times3=10.5\)

When the value of loaves is 6 then the value of the bread is,

\(c=3.5\times=21\)

When the value of loaves is 9 then the value of the bread is,

\(c=3.5\times9=31.5\)

All the values of the table 3 satisfies the given equation.

Hence, the values given in the table 3 matches the equation and includes the viable solutions.

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For the given data set the lower quartile is 12 , the median is 15 and the upper quartile is 19 .

In the question ,

the data det is given as {11, 12, 12, 13, 14, 15, 16, 18, 19, 19, 20}

the median is the central value , that is 15.

For lower and upper quartile ,

the set is divided into two halves ,

the lower half is {11,12,12,13,14}

the median of the lower half (lower quartile) = 12

the upper half is {16,18,19,19,20}

the median of the upper half(upper quartile) = 19.

Therefore , for the given data set {11, 12, 12, 13, 14, 15, 16, 18, 19, 19, 20},  the lower quartile is 12 , the median is 15 and the upper quartile is 19 .

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The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

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

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

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We have proved that Angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

To prove that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, we can use the following steps:

Step 1: Join points A and C with a line segment. Let's label the point where AC intersects with line segment BD as point E.

Step 2: Since line segment AC is drawn, we can consider triangle ABC and triangle ADC separately.

Step 3: In triangle ABC, we have angle B + angle ABC + angle BCA = 180 degrees (due to the sum of angles in a triangle).

Step 4: In triangle ADC, we have angle D + angle ADC + angle CDA = 180 degrees.

Step 5: From steps 3 and 4, we can deduce that angle B + angle ABC + angle BCA + angle D + angle ADC + angle CDA = 360 degrees (by adding the equations from steps 3 and 4).

Step 6: Consider quadrilateral ABED. The sum of angles in a quadrilateral is 360 degrees.

Step 7: In quadrilateral ABED, we have angle BAD + angle ABC + angle BCD + angle CDA = 360 degrees.

Step 8: Comparing steps 5 and 7, we can conclude that angle B + angle BCD + angle D = angle BAD + angle ABC + angle ADC.

Step 9: Rearranging step 8, we get angle BCD = angle BAD + angle ABC + angle ADC.

Therefore, we have proved that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

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Given: Quadrilateral \(\displaystyle\sf ABCD\)

To prove: \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\)

Proof:

1. Draw segment \(\displaystyle\sf AC\) and extend it to point \(\displaystyle\sf E\).

2. Consider triangle \(\displaystyle\sf ACD\) and triangle \(\displaystyle\sf BCE\).

3. In triangle \(\displaystyle\sf ACD\):

4. In triangle \(\displaystyle\sf BCE\):

5. Since \(\displaystyle\sf \angle BCE\) and \(\displaystyle\sf \angle BCD\) are corresponding angles formed by transversal \(\displaystyle\sf BE\):

6. Combining the equations from steps 3 and 4:

Therefore, we have proven that in quadrilateral \(\displaystyle\sf ABCD\), \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

It is important to have a sufficient sample size when computing a confidence interval to ensure accuracy and precision.

When we compute a confidence interval with a sample size of 82, the confidence interval will be more precise and narrower compared to a confidence interval computed with a smaller sample size. This is because a larger sample size provides more information and reduces the effect of random variation in the data.

However, if the sample size decreases to 67, the precision of the confidence interval will decrease and it will become wider. This is because a smaller sample size will have more random variation and may not accurately represent the population. As the sample size decreases, the confidence level also decreases, indicating that there is more uncertainty about the true population parameter.

A larger sample size will result in a more reliable estimate of the population parameter and a narrower confidence interval. Conversely, a smaller sample size will result in a less reliable estimate of the population parameter and a wider confidence interval.

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Answer:

  12.68

Step-by-step explanation:

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

In this instance, we have ...

  sin(25°) = x/30

  x = 30·sin(25°)

  x ≈ 12.68

Answer: a. p = c/5 - 43        b. 17 people

Step-by-step explanation:

c= 5p + 215  

A)  a said solve for p so we will solve for p in the equation.

c= 5p + 215  First   Subtract 215 from both sides

-215     -215  

c - 215 = 5p Now divide both sides by 5.

p = c/5 - 43  

B)  If c is the total cost  of hosting a birthday party then we will input 300 into the equation for c and solve for p.

300 = 5p + 215    First subtract 215 from both sides

-215             -215

 85 = 5p      Divide both sides by 5

 p = 17  

This means  17 people can attend the meeting if Allies parents are willing to spend $300.

The number of people that can attend the party will be 17

Since the formula given is represented by c = 5p + 215, to solve for p, we've to use subject of the formula and this will be:

c = 5p + 215

c - 215 = 5p

p = (c - 215)/5

p = c/5 - 43

Based on the equation given, the number of people that can attend the party will be:

c = 5p + 215

300 = 5p + 215

Collect like terms

5p = 300 - 215

5p = 85

p = 85/5

p = 17

Therefore, 17 people can attend the party.

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To calculate the moment of inertia of an object, you need to know its mass and the distance it is from the axis of rotation. In this case, the object has a mass of 12 kg and is distributed 4 meters from the axis of rotation. The formula to calculate the moment of inertia is I = mr^2, where the moment of inertia, m is the mass, and r is the distance from the axis of rotation.

Using this formula, we can calculate the moment of inertia of the object:

I = 12 kg x (4 m)^2

I = 192 kgm^2

Therefore, the moment of inertia of the object is 192 kgm^2.
To calculate the moment of inertia for an object, you can use the following formula:

Moment of Inertia (I) = Mass (m) × Distance² (r²)

Given the object's mass is 12 kg and the mass is distributed 4 meters from the axis of rotation, we can plug these values into the formula:

I = 12 kg × (4 m)²

Now, we'll square the distance:

I = 12 kg × 16 m²

Finally, multiply the mass and the squared distance:

I = 192 kg·m²

So, the moment of inertia of the object is 192 kg·m².

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Answer:

To determine whether the geometric series [infinity] (2^n)(6n+1), n=0, is convergent or divergent, we can use the ratio test.

The ratio test states that if the limit of the absolute value of the ratio of the (n+1)th term to the nth term is less than 1, then the series is convergent. If the limit is greater than 1, the series is divergent. If the limit is equal to 1, the test is inconclusive.

Let's apply the ratio test to this series:

|(2^(n+1))(6(n+1)+1)|

--------------------- = |2 * 6n + 13|

 |(2^n)(6n+1)|

As n approaches infinity, the absolute value of the ratio simplifies to:

|2 * 6n + 13|

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

 |2^n|

Dividing both the numerator and denominator by 2^n, we get:

|6n/2^n + 13/2^n|

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

       1

As n approaches infinity, 6n/2^n approaches 0, and 13/2^n approaches 0. Therefore, the limit of the absolute value of the ratio is 0 + 0 = 0, which is less than 1.

Since the limit of the absolute value of the ratio is less than 1, the series [infinity] (2^n)(6n+1), n=0, is convergent.

Answer:

(1,-2)

Step-by-step explanation:

x= 1

y= 2

In the equation b = a -2, which variable is the independent variable and which is the dependent variable ? Explain.

In the given equation b=a-2, a is an independent variable and b is an dependent variable.

Independent variable is variable whose values are unaffected by changes is referred to as an independent variable.

The dependent variable is defined as the variable whose evaluation of the independent variable determines the quality of the dependent variable.

For example, y=x+5

Here, According to changes in the evaluation of the variable "x," the estimation of the variable "y" also varies. The variable "y" is referred to as an dependent variable and the "x" is referred to as an independent variable.

Therefore, In the equation b=a-2, "a" is an independent variable and "b" is an dependent variable.

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\(\cfrac{1}{1+x^{a-b}}~~ + ~~\cfrac{1}{1+x^{b-a}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{1+x^{b-a}}\implies \cfrac{1}{1+x^{-(a-b)}} \implies \cfrac{1}{1+\frac{1}{x^{a-b}}}\implies \cfrac{1}{\frac{1+x^{a-b}}{x^{a-b}}}\implies \cfrac{x^{a-b}}{1+x^{a-b}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{1+x^{a-b}}~~ + ~~\cfrac{x^{a-b}}{1+x^{a-b}}\implies \cfrac{1+x^{a-b}}{1+x^{a-b}}\implies \text{\LARGE 1}\)

The length of IKE is 2x - 12.

A condition on a variable that is true for just one value of the variable is called an equation.

Since KITE is a kite, we know that KT = IT and KE = IE. Let's call the length of these diagonals d. Then we have:

KT + TI = d

KE + EI = d

Substituting in the given values, we get:

x + 6 + 2x = d

2x + IE = d

Solving for d in the first equation, we get:

3x + 6 = d

Substituting this into the second equation, we get:

2x + IE = 3x + 6

Solving for IE, we get:

IE = x + 6

Therefore, IKE is equal to:

IKE = IT - IE

IKE = (d - KT) - (x + 6)

IKE = (3x + 6 - x - 6) - (x + 6)

IKE = 2x - 12

So, the length of IKE is 2x - 12.

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Answer:

-12, -8, 2, 5, 10

Step-by-step explanation:

-12, -8, 2, 5, 10

Answer:

-12, -8, 2, 5, 10

Step-by-step explanation:

We have to remember here that when integers are negative, the number that looks the biggest is actually the smallest! What do I mean? Well, a value of -100 is actually way smaller than a value of -1, since it's a lot farther to the left of 0 than -1 is. Does that make sense?

Let's take that in mind as we start looking at our values. If what I just said is true, -12 is the smallest value, since it's the farthest to the left of 0. Then comes -8. From there, it's not too hard. 2 is the next smallest, then 5, and finally, 10 is our greatest number.

So, our answer is -12, -8, 2, 5, 10. Hopefully that's helpful! :)

The values of (x - 1/x) = √32 and  x² + 1/x² = 34.

Algebraic identities are mathematical equations or expressions that hold true for all values of the variables involved.

Using some algebraic identities we can solve the given problem. Here are some commonly used algebraic identities:

=> (a + b)² = a² + b² + 2ab

=> (a - b)² = a² + b² - 2ab

Here we have

=> x+1/x = 6  

Do squaring on both sides

=> (x + 1/x)² = 36

As we know (a + b)² = a² + b² + 2ab

=> x² + 1/x² + 2x (1/x)  = 36  

=> x² + 1/x² + 2 = 36  

=> x² + 1/x²  = 36 - 2

=>  x² + 1/x² = 34  ---- (1)

As we know (a - b)² = a² + b² - 2ab

=> (x - 1/x)² = x² + 1/x² - 2 x(1/x)

=> (x - 1/x)² = x² + 1/x² - 2  

=> (x - 1/x)² = 34 - 2     [ From  (1) ]

=> (x - 1/x) = √32

Therefore,

The values of (x - 1/x) = √32 and  x² + 1/x² = 34.

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Answer:The answer is below

Step-by-step explanation:

The bottom of a river makes a V-shape that can be modeled with the absolute value function, d(h) = ⅕ ⎜h − 240⎟ − 48, where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet). A ship risks running aground if the bottom of its keel (its lowest point under the water) reaches down to the river bottom. Suppose you are the harbormaster and you want to place buoys where the river bottom is 20 feet below the surface. Complete the absolute value equation to find the horizontal distance from the left shore at which the buoys should be placed

Answer:

To solve the problem, the depth of the water would be equated to the position of the river bottom.

h is=380 or h=100

Step-by-step explanation:

Answer: y=3/2x+7.5

explanation: i graphed it

Out of 82, 58 tickets were sold to students and 24 tickets were sold to the adults for the musical.

How to solve an equation for x?

To solve for x, bring the variable to one side, and bring all the remaining values to the other side by applying arithmetic operations on both sides of the equation. Simplify the values to find the result.

According to the given question:

Let the tickets sold to students be x.

Since total number of sold tickets are 82, the number of tickets sold to families will be 82 - x (that is 82 minus number of tickets sold to students)

Cost for one ticket for students is $3

So, the amount after selling tickets to students = 3x ---- 1)

Similarly, cost of one ticket for an adult is $5

Hence the amount after selling tickets to adults = 5(82 - x) ----- 2)

Total sales from selling tickets is $294

From equation 1) and 2)

3x + 5(82 - x) = 294

Solving for the value of x

3x + 410 - 5x = 294

2x = 410 - 294

2x = 116

x = 58

Therefore, out of 82, 58 tickets were sold to students and (82 - 58) = 24 tickets were sold to adults.

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Answer:

The median is the middle value when a set of data is arranged in order from smallest to largest.

First, let's arrange the given shoe sizes in order:

5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8.5

The median of this data set is 6.5 because it is the middle value.

Now, let's add a shoe size of 9 to the data set:

5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8.5, 9

The new median of this data set is 7, which is greater than the previous median of 6.5.

Therefore, the answer is: The median increases to 7.

Answer: The median increases to 7.

Step-by-step explanation: I took the test and got a 100%

The sum of the residuals and what it tells us about the line of best fit is that: −1.06; This indicates that the line of best fit is not very accurate and is not a good model for prediction.

Mathematically, the residual value of a data set can be calculated by using this formula:

Residual value = actual value - predicted value

Next, we would determine the predicted values as follows:

At point (4, 6), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(4) − 0.76.

Predicted value, y = 5.08

At point (6, 7), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(6) − 0.76.

Predicted value, y = 8.

At point (7, 8), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(7) − 0.76.

Predicted value, y = 9.46.

At point (9, 13), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(9) − 0.76.

Predicted value, y = 12.38.

At point (10, 14), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(10) − 0.76.

Predicted value, y = 13.84

At point (11, 15), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(11) − 0.76.

Predicted value, y = 15.3.

Now, we can calculate the sum of the residuals as follows:

Sum of the residuals = Sum of actual values - Sum of predicted values

Sum of the residuals = (6 + 7 + 8 + 13 + 14 + 15) - (5.08 + 8 + 9.46 + 12.38 + 13.84 + 15.3)

Sum of the residuals = 63 - 64.06

Sum of the residuals = -1.06.

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Answer:

-1.06

Step-by-step explanation:

i took the test :)

One of the primary factors determining your card's A.P.R. is your credit score is "True". The correct answer is B.

Credit card issuers evaluate applicants' creditworthiness based on their credit scores, among other factors, and use this information to determine the interest rate they will be charged. Higher credit scores generally result in lower A.P.R.s, reflecting a lower risk profile.

However, it is important to note that the specific A.P.R. offered to an individual may also depend on other factors, such as the card's terms and conditions, the applicant's income, and the card issuer's policies. It is incorrect to assume that most cardholders pay the lowest rate listed when given a range of A.P.R.s, as individual circumstances and creditworthiness vary.

Additionally, higher A.P.R.s do not benefit cardholders, as they result in increased interest charges. The notion that A.P.R.s on credit cards are usually fixed and not adjusted is also incorrect, as A.P.R.s can be variable and subject to change based on various factors.

Therefore, the correct answer is B) One of the primary factors determining your card's A.P.R. is your credit score.

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Note: The question would be as

Reading through a credit card disclosure (aka the Schumer Box), you see the A.P.R. for a specific card is set at 9.99% -23.99%. Which of the following statements is probably TRUE?

a. When given a range of A.PR.s like this, you can assume most cardholders pay the lowest rate listed

b. One of the primary factors determining your card's A.P.R. is your credit score

c. With credit card A.PR.s, cardholders like higher A.P.R.s because they earn more

d. The A.PR. on credit cards is usually fixed so they won't be adjusted as long as you are a cardholder

Answer:

Step-by-step explanation:

A formula is a method that has been proven to work when solving specific types of problems.

Let’s explore some of those familiar formulas by looking at rectangles, squares, area and perimeter.

The perimeter of a figure is the distance around the figure. Perimeter is the sum of all of the sides in a square or rectangle. Since a rectangle has two sets of parallel sides, the formula for determining perimeter  of a rectangle is:

and

Let’s look at an example.

[Figure 2]

The rectangle above shows its dimensions. Find the perimeter.

First, substitute the values for the width  and the length  into the perimeter formula.

Next, complete the multiplication and addition to find the perimeter.

The answer is 42.

The perimeter of the rectangle is 42 inches.

Area is the amount of square units inside the figure. Area is found by multiplying the . The formula for finding the area of a rectangle is:

You can use the dimensions from the rectangle above to find the area of this rectangle.

First, fill the values for  and  into the formula for area.

Next, solve for the area by multiplying.

The answer is 108.

The area of the rectangle is .

Notice that the unit of measurement for area is squared. That is because you multiplied a unit measure times itself: . Area is always written in square units.

You can also find the perimeter and area of a square. Remember that a square has four equal sides given the symbol . You can use the following formula for finding the perimeter of a square:

Let’s look at an example.

A rectangle has a length of 12 feet and a perimeter of 72 feet. Write and solve an equation to determine the width of the rectangle.

First, substitute the values for the perimeter  and the length  into the perimeter formula.

Next, complete the multiplication.

Then, subtract 24 from both sides to get your variable alone on the right side.

Then, multiply both sides by the reciprocal of 2 to isolate your variable.

The answer is 24.

The width of the rectangle is 24 feet.

Examples

Example 1

Earlier, you were given a problem about Raj and his garden fence.

He knows that the area of the land is 240 square feet, the length of one side is 15 feet, and needs to know the width of the land.

First, substitute the values for the area and the side length into the area formula.

Next, multiply both sides by the reciprocal of 15 in order to isolate the variable .

The answer is 16.

The width of Raj’s garden is 16 ft. Therefore the dimensions of the garden are 16 ft by 15 ft.

Example 2

A square has a perimeter of 196 inches. Determine the length of one side of the square.

First, substitute the value for the perimeter  into the perimeter formula.

Next, multiply both sides by the reciprocal of 4 to isolate your variable.

The answer is 49.

Example 3

Find the perimeter of the following square if the side length is 4.5 inches.

First, substitute the value for the side length into the perimeter formula.

Next, multiply by 4 to solve for the perimeter.

The answer is 18.

Example 4

Can you find the area of the square in Example 1?

First, substitute the value for the side length into the area formula.

Next, multiply to solve for the area.

The answer is 20.25.

The area of the square is .

Example 5

A square has an area of 144 sq. meters. What is the side length?

First, substitute the value for the area into the area formula.

Next, take the square root of the area to isolate . Remember that the opposite of square is square root.

The answer is 12.

When we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

To subtract 3 from 22, we can perform the subtraction operation as follows:

22

3

19

We align the numbers vertically and subtract each corresponding place value from right to left. In this case, subtracting 3 from 2 requires borrowing or regrouping. However, since 2 is greater than 3, we can directly subtract 3 from 2 and write the difference, which is 1, in the one's place.

Therefore, the simplified answer is 19.

The subtraction process involves taking away or removing a certain quantity from another. In this case, we subtracted 3 from 22, resulting in a difference of 19. The process of simplifying the answer is simply expressing the result in its most concise and reduced form.

By subtracting 3 from 22, we removed 3 units from the original value of 22, leaving us with 19. This can be visualized as taking away three objects from a group of 22 objects, resulting in a remaining count of 19.

In summary, when we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

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The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.

We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.

Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.

Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.

The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.

Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.

Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.

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Answer:

form an idea of the amount, number, or value of; assess

Step-by-step explanation:

Answer:

I evaluate them for opportunities, "he said. He stopped to evaluate the gilded ornaments."

Rejecting the null hypothesis incorrectly in the given phenomena results in a type I error.

A type I error is a kind of error that occurs in the case where the null hypothesis is incorrectly rejected when actually it is true. It means obtained results are statistically significant while, in reality, these results are obtained purely by chance or due to some unrelated factors.

An example of type I error is described in the given scenario. A supplier to the automotive industry is launching a new brake pad that is intended to wear down more slowly while maintaining the same performance. The company conducts a study that falsely rejects the null hypothesis. This is a type I error.

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Number of cups of milk that will you need to use is 2.001 cups

Total quantity of milk needed for the cake = 472 milliliter

we know

1 liter = 1.06 quarts

1 quart = 4 cups

Convert the given quarts to cups

Then 1.06 quarts = 4 × 1.06

Multiply the numbers

= 4.24 cup

Here the total quantity of milk needed for the cake is 472 milliliter

We have to use the unitary method here

1 liter = 4.24 cups

472 milliliter = 4.24 × 0.472

Multiply the numbers

= 2.001 cups

Therefore, he need 2.001 cups of milk to make a cake

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Step-by-step explanation:

p= 2(L+w)

= 2(2x+y)

or

P=L+L+L+L

=2x+y+2x+y