Given Matrix A consisting of 3 rows and 2 columns. Row 1 shows 3 and negative 1, row 2 shows 2 and 0, and row 3 shows negative 3 and 3. And Matrix B consisting of 3 rows and 2 columns. Row 1 shows 3 and 3, row 2 shows negative 5 and 4, and row 3 shows negative 4 and 2. ,


what is A − B?


Matrix consisting of 3 rows and 2 columns. Row 1 shows 0 and negative 4, row 2 shows negative 3 and negative 4, and row 3 shows 1 and 1.

Matrix consisting of 3 rows and 2 columns. Row 1 shows 0 and negative 4, row 2 shows 7 and negative 4, and row 3 shows 1 and 1.

Matrix consisting of 3 rows and 2 columns. Row 1 shows 0 and negative 4, row 2 shows 7 and 4, and row 3 shows negative 1 and 0.

Matrix consisting of 3 rows and 2 columns. Row 1 shows 6 and 2, row 2 shows 7 and 4, and row 3 shows negative 7 and 1

Answer:

x=-1

Good Luck!!!

Answer:

9x+12-5=-2

9x+7=-2

9x=-2-7

9x=-9

×=-1

Step-by-step explanation:

Answer:

In the table:

select 7 pumpkins for Reagan.

select 6 pumpkins for Miles

and select 3 pumpkins for Norma.

Step-by-step explanation:

Have a nice day! :-)

Answer:

A simplified method for dividing a polynomial by another polynomial of the first degree is synthetic division.

An equivalent decimal, fraction and percent is C) 0.45, 4/5, 45%.

To understand why this is the correct choice, we need to look at how decimals, fractions, and percentages are related. Decimals are just another way of representing fractions, where the denominator is a power of 10. For example, 0.45 is the same as 45/100 or 9/20.

Percentages, on the other hand, are just a way of representing fractions with a denominator of 100. So, 45% is the same as 45/100 or 9/20.

The other options do not have equivalent representations of decimals, fractions, and percentages.

In conclusion, understanding the relationships between decimals, fractions, and percentages is essential to solving problems like these. The key is to remember that they are just different ways of representing the same value, and with a bit of practice, it becomes second nature to recognize equivalent representations.

Therefore, option C shows an equivalent decimal (0.45), fraction (4/5), and percent (45%).

To learn more about decimal here:

https://brainly.com/question/1736596

#SPJ4

Answer:

75.36 yd²

Step-by-step explanation:

To solve, you need to consider the walkway and the pool as one circle and find the are.  The diameter of this circle is 25 yd.  This means that the radius is 12.5 yd.

A = πr²

A = π(12.5)²

A = 156.25π

A = 490.625 yd²

Then, you need to find the area of the pool alone.  Since the diameter of the pool is 23 yd., the radius is 11.5 yd.

A = πr²

A = π(11.5)²

A = 132.25π

A = 415.265 yd²

Subtract the two areas to find the are of the walk.

490.625 - 415.265 = 75.36 yd²

The area is 75.36 yd²

a) 2y = 3x + 8 This equation represents the line passing through the midpoints of BC and AD.

b) the length of the line segment joining the midpoints is indeed half the sum of the lengths of the parallel sides.

a) To show that the line segment joining the midpoints of BC and AD is parallel to both AB and DC, we need to demonstrate that the slopes of the lines are equal.

Let's first find the coordinates of the midpoints of BC and AD:

Midpoint of BC: ( (−2+−4)/2 , (1−2)/2 ) = (−3,-1/2)

Midpoint of AD: ( (1+2)/2 , (2+0)/2 ) = (3/2, 1)

Now, let's calculate the slopes:

Slope of AB: (1-2)/(-2-1) = -1/3

Slope of DC: (-2-0)/(-4-2) = -1/3

Since both slopes are equal, AB is parallel to DC.

Next, let's find the equation of the line passing through the midpoints of BC and AD. We'll use the point-slope form.

Slope of the line passing through the midpoints:

(1-(-1/2))/(3/2-(-3)) = 3/2

Using the midpoint (−3,-1/2), we can write the equation of the line as:

y - (-1/2) = (3/2)(x - (-3))

y + 1/2 = (3/2)(x + 3)

2y + 1 = 3x + 9

2y = 3x + 8

This equation represents the line passing through the midpoints of BC and AD.

b) To show that the length of this line segment is half the sum of the lengths of the parallel sides, we need to calculate the lengths of AB, DC, and the line segment joining the midpoints.

Length of AB:

√((-2-1)^2 + (1-2)^2) = √(9 + 1) = √10

Length of DC:

√((-4-2)^2 + (-2-0)^2) = √(36 + 4) = √40 = 2√10

Length of the line segment joining the midpoints:

√((3/2-(-3))^2 + (1-(-1/2))^2) = √((9/2)^2 + (3/2)^2) = √((81/4) + (9/4)) = √(90/4) = √(9/4 * 10) = (3/2)√10

The sum of the lengths of AB and DC is:

√10 + 2√10 = 3√10

The length of the line segment joining the midpoints is:

(3/2)√10

We can see that the length of the line segment is indeed half the sum of the lengths of AB and DC:

(3/2)√10 = (1/2) * 3√10 = (1/2) * (√10 + 2√10) = 3/2√10 = 3/2√10

For more such question on midpoints visit;

https://brainly.com/question/28667736

#SPJ8

The subjects who gave the highest speed estimates were likely those who were most confident in their answers and most willing to take risks in their estimates.

Those who were less confident and more hesitant to take risks would likely give lower estimates, while those who were more confident and willing to take risks would give higher estimates. Additionally, the subjects who had prior knowledge of the speed at which cars typically travel may have given higher estimates than those who did not have that knowledge. Finally, any subjects who were predisposed to overestimate due to a bias towards overestimating in general would have likely given the highest speed estimates.The subjects who gave the highest speed estimates in Elizabeth Loftus's study were likely those who had the highest levels of anxiety and/or were the most emotionally involved in the film. These individuals may have had difficulty accurately assessing the speed of the cars due to their heightened emotional state, and thus reported higher speeds than were actually observed. Additionally, people who were more familiar with cars and driving may have been more likely to give higher speed estimates due to their greater understanding of the physics involved. It is also possible that some individuals may have been influenced by the expectations of the experimenters, and thus reported higher speeds than what they actually observed.  

Learn more about speed here :

https://brainly.com/question/7359669

#SPJ4

Service fee for the over the counter deposit of R700: R10.50

Service fee for the ATM withdrawal of R500: R11.50

To determine the service fee that Tilly will incur for the given transactions,

Over the Counter Deposit of R700:

Tilly is depositing R700, the fee will be:

Fee = R3.50 + (R1.00 per R100) x (R700 / R100)

= R3.50 + R7.00

= R10.50

Therefore, the service fee for the over the counter deposit of R700 is R10.50.

ATM Withdrawal of R500:

The fee for an ATM withdrawal at own bank is calculated as R6.50 + R1.00 per R100.

Since Tilly is withdrawing R500, the fee will be:

Fee = R6.50 + (R1.00 per R100) x (R500 / R100)

= R6.50 + R5.00

= R11.50

Therefore, the service fee for the ATM withdrawal of R500 is R11.50.

Learn more about Service fee here:

https://brainly.com/question/15306481

#SPJ1

a) To calculate the difference between the before and after measurements, we subtract the after measurements from the before measurements:

Person 1: 81 - 73 = 8

Person 2: 84 - 77 = 7

Person 3: 79 - 73 = 6

Person 4: 85 - 78 = 7

Person 5: 79 - 71 = 8

Person 6: 84 - 75 = 9

Person 7: 87 - 80 = 7

These values represent the differences in heart rate before and after exercise for each person.

(b) To construct a 95% confidence interval for the mean reduction in heart rate, we can use the TInterval function on a calculator or statistical software. Given that the sample size is small (n = 7), it is appropriate to use a t-distribution for the confidence interval.

Using the provided data, enter the differences calculated in part (a) into L1 on the calculator. Then, follow these steps to obtain the confidence interval:

Select the TInterval function on your calculator or statistical software.

Choose a confidence level of 95%.

Enter the list containing the differences (L1) as the data set.

Calculate the confidence interval.

The calculator or software will provide you with the 95% confidence interval for the mean reduction in heart rate, rounded to two decimal places.

Learn more about measurements here:

https://brainly.com/question/29185971

#SPJ11

Answer:

n = 9

Step by step solution:

n - 14 = -5

+14 +14

_________

n = 9

The measure of angle EDF in the rectangle DEFG is 22.

In a rectangle, opposite angles are congruent, meaning they have the same measure. Since DEFG is a rectangle, angles DFG and EDF are congruent. Therefore, we can set up an equation based on the given angle measures: m∠EDF = m∠DFG.

m∠EDF = 5x - 3

m∠DFG = 3x + 7

Setting the two angles equal to each other, we have:

5x - 3 = 3x + 7

Simplifying the equation by subtracting 3x from both sides, we get:

2x - 3 = 7

Adding 3 to both sides, we have:

2x = 10

Finally, dividing both sides by 2, we find:

x = 5

To find m∠EDF, we substitute the value of x back into the expression for m∠EDF:

m∠EDF = 5x - 3

m∠EDF = 5(5) - 3

m∠EDF = 25 - 3

m∠EDF = 22

learn more about congruent

https://brainly.com/question/30612076

#SPJ11

Answer:

4

Step-by-step explanation:

The computation is shown below:

Given that

There are total number of students i.e. 48

The ratio at present is 4:1

Now the computer needed to make the ratio be 3:1

So let us assume the number of students be 4x

And, the number of computers be x

So the 4x = 48

x = 12

So the computer be 12

Now the new ratio is 3:1

Students be 3x

And, computers be x

So

3x = 48

x = 16

Now the more computer needed is

= 16 - 12

= 4

hence, this is the answer but the same is not provided in the given options

Mrs. Mitra needs to buy 4 more computers to make the ratio 3: 1

The present total number of students = 48

Ratio of the number of students to the number of computers = 4: 1

(Number of students) / (Number of computers) = 4/1

48 /  (Number of computers) =  4/1

Number of computers = 48/4

Number of computers = 12

If the ratio of the number of students to the number of computers = 3:1

48 / (Number of computers) = 3/1

3(Number of computers) = 48

Number of computers = 48/3

Number of computers = 16

Additional number of computers = 16 - 12

Additional number of computers = 4

Mrs. Mitra needs to buy 4 more computers to make the ratio 3: 1

Learn more here: https://brainly.com/question/20516142

Answer:

209.96

Step-by-step explanation:

we know that the circumference of the circle is equal to

C = \(\pi D\)

we have

\(D = 64 ft\)

substitute would be

\(C = \pi (64) = 64\pi ft\)

assume that \(\pi = 3.14\)

64\(64\pi = 64 * 3.14 = 200.96 ft\)

Answer:

x <2

Step-by-step explanation:

3(x+1)<9

Divide by 3

3/3(x+1)<9/3

x+1 < 3

Subtract 1 from each side

x+1-1 < 3-1

x <2

Answer:

x < 2

Step-by-step explanation:

Distribute the 3 to (x + 1):

3(x + 1)

3x + 3

→3x + 3 < 9

Subtract 3 from both sides:

→3x < 6

Divide both sides by 3:

→x < 2

a. Model for the data set: Area = Width * Length or Area = 50 * Width - Width² b. Another point in the data set: (7, □) (Cannot calculate the area without knowing the specific length value) c. Reasonable domain for this function: Non-negative whole numbers d. Maximum possible area: 625 units (Width = 25, Length = 25) e. Function for area in terms of width: Area = Width * Length or Area = 50 * Width - Width² (same as in part a)

a. Plotting the points (width, area):

Using the given data, we have the points (1, 49), (3, □), and (5, □).

To find the missing values, we can use the formula for the area of a rectangle:

Area = Width * Length

Substituting the values from the table, we have:

49 = 1 * Length

Length = 49

□ = 3 * Length

□ = 3 * 47

□ = 141

□ = 5 * Length

□ = 5 * 45

□ = 225

So, the completed table is:

Width   Length   Area

1       49       49

3       47       141

5       45       225

From these points, we can find a model for the data set. The model is:

Area = Width * Length

b. Another point in the data set: (7, □)

To find the missing value, we can use the model:

Area = Width * Length

□ = 7 * Length

Since we don't have the specific length value, we cannot calculate the area for width = 7. However, we can verify the model by substituting known values into the formula and confirming if they match the actual areas.

c. Reasonable domain for this function:

The reasonable domain for this function would be non-negative whole numbers (0, 1, 2, 3, ...). Width and length represent dimensions, which cannot be negative, and it makes sense to consider whole numbers for practical rectangle dimensions

d. Finding the maximum possible area:

To find the maximum possible area, we can consider the case where the rectangle is a square since a square has the maximum area for a given perimeter. In this case, both the width and length would be 25 units (since 2 * width + 2 * length = 100). Thus, the maximum possible area is:

Area = Width * Length

Area = 25 * 25

Area = 625

So, the dimensions that yield the maximum area of 625 units are width = 25 and length = 25.

e. Function for area in terms of width:

To find a function for area in terms of width without using the table, we can start with the perimeter equation:

Perimeter = 2 * Width + 2 * Length

100 = 2 * Width + 2 * Length

Solving this equation for Length, we get:

Length = (100 - 2 * Width) / 2

Length = 50 - Width

Now, we can substitute this value of Length into the formula for Area:

Area = Width * Length

Area = Width * (50 - Width)

Area = 50 * Width - Width²

This is a quadratic function for the area in terms of width. Comparing it with the model from part (a), we can see that they are equivalent. Both represent the product of width and length, with the same coefficients. Therefore, the models are the same.

The model for the data set is: Area = Width * Length or Area = 50 * Width - Width².

Learn more about area here: https://brainly.com/question/1631786

#SPJ11

The complete question is:

The table shows some possible dimensions of rectangles with a perimeter of 100 units. Copy and complete the table.

Width   Length   Area

1       49       49

3       □        □

5       □        □

a. Plot the points (width, area). Find a model for the data set.

b. What is another point in the data set? Use it to verify your model.

c. What is a reasonable domain for this function? Explain.

d. Find the maximum possible area. What dimensions yield this area?

e. Find a function for area in terms of width without using the table. Do you get the same model as in part (a)? Explain.

Answer:

It's a scalene triangle

Step-by-step explanation:

I graphed each point and here's the picture.

You can see how from point C to A is a distance of 4 blocks,

distance from point A to B is 3 blocks, and B to C is 5 blocks.

So this triangle is a scalene triangle.

Answer:

scalene

Step-by-step explanation:

from A to B

the difference is x's is 3

the difference in y's is 2

3^2 + 4^2 = 9 +16 = 25, square of 25 is 5

from B to C

x's : 5 and y's : 4

25+ 16 = 36

the square root of 36 is 6

fromA to C

x's :4 and y's : 3

16 + 9 = 25 . the square root of 25 is 5

the dimensions of the triangle are 4,5,6

all the sides are different so is scalene

While a common rule of thumb is to have a minimum sample size of 100 for continuous data to be statistically significant, the actual appropriate sample size may vary depending on the specific study design and research question. Option(D)

In statistics, the term "statistical significance" refers to whether an observed effect or relationship in the data is likely to be real and not just due to random chance. To determine statistical significance, we often perform hypothesis testing.

The sample size is a crucial factor in hypothesis testing. A larger sample size generally provides more reliable and precise estimates of population parameters and increases the statistical power of the test. With a larger sample size, even smaller effects or differences between groups can become statistically significant.

While there is no hard and fast rule for the minimum sample size to achieve statistical significance, a common guideline is to aim for at least 30 samples. This guideline is often used in the context of the Central Limit Theorem, which states that the sampling distribution of the sample mean becomes approximately normally distributed with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

In practice, the appropriate sample size depends on various factors, including the nature of the data, the effect size being studied, the desired level of confidence, and the statistical test used. Researchers often conduct sample size calculations based on these factors before conducting their studies to ensure they have an adequate sample size to achieve meaningful results and detect significant effects if they exist.

To learn more about sample size refer here:

https://brainly.com/question/32911129#

#SPJ11

Answer:

The x Intercepts of y=5x^2-15x is (1, 0) and (-1, 0)

Step-by-step explanation:

Answer:

(0,0) and (3,0)

Step-by-step explanation:

5x²-15x = 0

5x(x-3) = 0

5x=0;    x=0

x-3=0;   x=3

Answer: 28282

Step-by-step explanation:

I think

The solution is Option D.

The triangles are not similar because angle M is not congruent to angle H, and angle N is not congruent to angle G

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be represented as ΔFGH

Now , the measure of ∠F = 98.6

The measure of ∠G = 61.1

So , the measure of ∠H = 180° - ( ∠F + ∠G ) ( sum of internal angles = 180° )

On simplifying the equation , we get

The measure of ∠H = 20.3

And ,

Let the second triangle be represented as ΔLMN

Now , the measure of ∠L = 98.6

The measure of ∠M = 18.3

So , the measure of ∠N = 180° - ( ∠L + ∠M ) ( sum of internal angles = 180° )

On simplifying the equation , we get

The measure of ∠N = 63.1

So , from the similar triangle theorem ,

The angle M is not congruent to angle H, and angle N is not congruent to angle G

Hence , the triangles are not similar

To learn more about similar triangles click :

https://brainly.com/question/29378183

#SPJ1

Answer:

B

Step-by-step explanation:

1500 * 0.07 = 105

105 + 1500 = 1605

Answer:

The launching platform height is 12 meters.

Step-by-step explanation:

Actually, 0 degrees is not a counterexample for the expression sin(y)*tan(y) = cos(y).

To see why, let's substitute y = 0 degrees into the expression:

sin(y)*tan(y) = cos(y)

sin(0)*tan(0) = cos(0)

0*tan(0) = 1

0 = 1

As we can see, the equation does not hold for y = 0 degrees. However, this does not make 0 degrees a counterexample, because 0 degrees is not in the domain of the tangent function.

The tangent function is undefined at odd multiples of 90 degrees (e.g. 90, 270, etc.), because at those angles the denominator of the tangent function becomes zero. Therefore, we cannot substitute y = 0 degrees into the expression sin(y)*tan(y) = cos(y), because it would result in division by zero.

In summary, 0 degrees is not a counterexample for the expression sin(y)*tan(y) = cos(y), because it is not in the domain of the tangent function.

Answer:

311.01 in^3

Step-by-step explanation:

Volume of cylinder = pi*r^2*h

Volume of cylinder = pi*9*11=311.01 in^3

Answer:

100 days

Step-by-step explanation:

the doctor works 5 hrs per day, which means 20 patients per day, in 100 days he will be able to treat 2000 patients

Sample is a subset of the population used to estimate data about the population without including everyone. It is used in statistics to draw inferences about larger populations or groups and statistical research methods are used to achieve better sample results.

In the given scenario, the population in the study would be Bottles of soda produced in the plant on February 2. While the sample in the study would be The 70 bottles of soda selected in the plant on February 2A population is the complete group of people or things that we are studying. Population is the set of all things under examination, while the sample is a subset of the population, which is used to estimate data about the population.What is Sample?A sample is a subset of the population, and it is a way to investigate the entire population without including everyone. It is used to acquire an estimation of the population, but it is not intended to be an exact representation of the population. Sample data is used in statistics to draw inferences about larger populations or groups. To achieve better sample results, statistical research methods are used.

TO know more about statistics Visit:

https://brainly.com/question/31577270

#SPJ11

Answer:

Step-by-step explanation: