Matrix B is obtained from matrix A by three row-swaps, and matrix C is obtained from A by dividing a row of A by 3. Suppose det A=5. Find det B and det C.
Does det B= -5, det C= 5/3 ? True or False?

Answer: -4(a+3)

Step-by-step explanation:

You can take out -4 from -4 and -12

Answer:

-4(a+3)

Step-by-step explanation:

Right on edge!

Answer:

The area of the room is 432 square feet

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ The scale drawing of the room is 1 inch: 3 feet

→ That means each 1 inch in the drawing represents 3 feet in real

∵ The drawing is 8 inches long by 6 inches wide

∴ The drawing length of the room = 8 inches

∴ The drawing width of the room = 6 inches

→ By using the ratio method

→  inches  :  feet

→  1            :  3

→  8           :  L

→  6           :  W

→ By using the cross multiplication

∵ 1 × L = 8 × 3

∴ L = 24

∴ The actual length of the room is 24 feet

∵ 1 × W = 6 × 3

∴ W = 18

∴ The actual width of the room is 18 feet

Use the formula of the area of the rectangle to find the area of the room

∵ Area of rectangle = length × width

∴ Area of the room = 24 × 18

∴ Area of the room = 432 feet²

∴ The area of the room is 432 square feet

The location of the x value of R' after using the translation rule is 28

The translation rule is given as:

(x + 4, y - 7)

The pre-image of R is located at (24, -13)

Rewrite as

R = (24, -13)

When the translation rule is applied, we have:

R' = (24 + 4, -13 - 7)

Evaluate

R' = (28, -20)

Remove the y coordinate

R'x = 28

Hence, the location of the x value of R' after using the translation rule is 28

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The expression would be:

3x

x=number of plays

Insert 4:

3(4)

=12

They would 12 yards after 4 plays if losing 3 yards every play.

The amount of yards the football team loses after 4 plays is given by the equation A = 12 yards

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of yards the football team loses after 4 plays be A

Now , the equation will be

Let the amount of yards the football team loses per play = 3 yards

So , the amount of yards the football team loses after 4 plays = 3 x amount of yards the football team loses per play

Substituting the values in the equation , we get

The amount of yards the football team loses after 4 plays A = 3 x 4

On simplifying the equation , we get

The amount of yards the football team loses after 4 plays A = 12 yards

Hence , the amount of yards is 12 yards

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The  polar coordinate 5, (5, 1967) to gets converted Cartesian coordinates:

x = 5 cos(11π/6) = 5(-√3/2) = -5√3/2

y = 5 sin(11π/6) = 5(-1/2) = -5/2

To convert a polar coordinate to Cartesian coordinates, we use the formulas:

x = r cos(theta)

y = r sin(theta)

where r is the radius and theta is the angle in radians.

For the polar coordinate (5, 11π/6), we have:

r = 5

theta = 11π/6

Plugging these values into the formulas, we get:

x = 5 cos(11π/6) = 5(-√3/2) = -5√3/2

y = 5 sin(11π/6) = 5(-1/2) = -5/2

Therefore, the Cartesian coordinates are (-5√3/2, -5/2).

For the polar coordinate (5, 1967), we have:

r = 5

theta = 1967

Note that the angle is not in radians, so we need to convert it first. To do this, we multiply by π/180, since 1 degree = π/180 radians:

theta = 1967(π/180) = 34.3π

Plugging these values into the formulas, we get:

x = 5 cos(34.3π) ≈ 5(0.987) ≈ 4.935

y = 5 sin(34.3π) ≈ 5(-0.160) ≈ -0.802

Therefore, the Cartesian coordinates are (4.935, -0.802).

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Answer:

-3/5

Step-by-step explanation:

rise/run

since its a negative slope, you count down three and to the right 5. -3/5 is the slope

Answer:

-3/5

Step-by-step explanation:

Equation for slope of a line is:

(y₂-y₁)÷(x₂-x₁)

In your example:

-4-(-1)÷4-(-1)

(-4+1)÷(4+1)=

-3/5

Therefore , the solution of the given problem of median comes out to be  the typical grade received by pupils is 80.

The median value of an arranged dataset is the precise value that makes up its mean. The ratio between the minimum and maximum 50% of the data is what is known as a likelihood measure, or an average. Based if there is an odd or perhaps an even number of points, multiple formulas are used to calculate the median and mode.

Here,

The range and scatter of statistical data are represented visually by this analysis (continuous data).

It establishes four quartile groups.

Min - 25th Percentile, Quartile Group 1 (Q1)

Group 2 of the Quartile: 25th Percentile (Q1) to 50th Percentile (Q2, Median)

50th percentile (Q2) and 75th percentile make up Quartile Group 3. (Q3)

75th percentile (Q3) for Quartile Group 4: Maximum

Q3-Q1 is the interquartile range in this (IQR)

the 40-point cutoff

a maximum score of 110

25% of the class received a score between 40 and 63.

50% of the pupils got scores under 81, and 50% got scores over 81.

75% of pupils had scores between 40 and 95. additionally, 25% of students achieved 95 or higher.

The typical grade received by pupils is 80.

Therefore , the solution of the given problem of median comes out to be  the typical grade received by pupils is 80.

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The complete question is " Professor A. has 40 students in her class. After giving a first quiz, she calculated 5 measures of relative standing: min =3, Q1 = 12, Median = 14, Q3 = 16, Max = 20. Draw a box plot for quiz scores of her class. What are the highest and the lowest quiz score? What is the score that separates the bottom 75% from the top 25%? How many students scored more than the median? How many students scored more than 14 points? What percent of her students received less than 12 points? Would the score of 4 be an outlier? (use the IQR method to explain)"

The inequality that represents the number of animals at the shelter for expenses to be at least $1170 a week is x ≥ 70.

To solve this problem, we need to start by setting up an equation that represents the total weekly expenses of the animal shelter. Let's call the number of animals in the shelter "x".

The fixed expenses are $750, and each animal costs an additional $6 per week, so the total weekly expenses can be represented by the equation:

Total Weekly Expenses = $750 + $6x

We also know that during the summer months, the total weekly expenses are at least $1170. So, we can set up an inequality to represent this:

$750 + $6x ≥ $1170

To solve for x, we can start by subtracting $750 from both sides of the inequality:

$6x ≥ $420

Then, we can divide both sides by $6 to isolate x:

x ≥ 70

This means that there must be at least 70 animals in the shelter for the total weekly expenses to be at least $1170.

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Answer:

10 ft

Step-by-step explanation:

Answer:

r666666666666666666666666655555555555555555555555555555555555555555555

Answer:

1) The rate of change is constant ($$ 2) The line passes through the origin (0, 0). 3) The equation of the direct variation is $$ y =1 x or simply $$

Answer:

1) The rate of change is constant ($$ 2) The line passes through the origin (0, 0). 3) The equation of the direct variation is $$ y =1 x or simply $$

Step-by-step explanation:

I know this because I done this last week

The least squares method minimizes the sum of the squared differences between the observed data points and the predicted values.

The least squares method is a mathematical technique used to find the best fit line or curve for a set of data points. It is commonly used in regression analysis to determine the relationship between two variables.

The method works by minimizing the sum of the squared differences between the observed data points and the predicted values from the line or curve. This sum is known as the residual sum of squares (RSS) or the sum of squared residuals (SSR).

The least squares method aims to find the line or curve that minimizes this sum, meaning it minimizes the overall error between the observed data and the predicted values. By minimizing the sum of squared differences, the method finds the line or curve that best represents the data.

In other words, the least squares method seeks to find the line or curve that provides the best balance between fitting the data closely and avoiding extreme deviations from the data points.

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The least squares method for determining the best fit minimizes the sum of the squared differences between the observed data points and the corresponding values predicted by the mathematical model or regression line.

In other words, it aims to minimize the sum of the squared residuals, where the residual is the difference between the observed data point and the predicted value. By minimizing the sum of squared residuals, the least squares method finds the line or curve that best fits the data by minimizing the overall error between the predicted values and the actual data.

Mathematically, the least squares method minimizes the objective function:

E = Σ(yᵢ - ŷᵢ)²

where yᵢ is the observed value, ŷᵢ is the predicted value, and the summation Σ is taken over all data points. The goal is to find the values of the parameters in the mathematical model that minimize this objective function, usually by differentiating it with respect to the parameters and setting the derivatives equal to zero.

By minimizing the sum of squared differences, the least squares method provides a way to estimate the parameters of a mathematical model that best represents the relationship between the independent and dependent variables in a data set.

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The length of the shortest straight  is approximately 28.01 ft.

What is the right triangle?

A right triangle is" a type of triangle that has one angle measuring 90 degrees (a right angle). The other two angles in a right triangle are acute angles, meaning they are less than 90 degrees".

To find the length of the shortest straight beam,we can use the Pythagorean theorem.

Let's denote the length of the beam as L and  a right triangle formed by the beam, the wall, and the ground. The wall is 28 ft tall, and the distance from the wall to the building is 1 ft.

Using the Pythagorean theorem,

\(L^2 = (28 ft)^2 + (1 ft)^2\)

Simplifying the equation:

\(L^2 = 784 ft^2 + 1 ft^2\\ L^2 = 785 ft^2\)

\(L = \sqrt{785}ft\)

Calculating the value of L:

L ≈ 28.01 ft

Therefore, the length of the shortest straight beam  is approximately 28.01 ft.

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Answer: D

Step-by-step explanation:

Answer:

\(6x^{2}+10x-12\)

Step-by-step explanation:

Answer:

The answer to this question is option A

Answer: C

Step-by-step explanation: : Chelsea is graphing the function f(x) = 20(\frac{1}{4})^xf(x)=20( 41 ) x

Answer:

On a coordinate plane, the point (0, 20) is graphed.

Step-by-step explanation:

Edge

The HDD for the month of January in State College, PA is 930.

To calculate the HDD (Heating Degree Days) for the month of January in State College, PA, we need to subtract the average daily temperature from 65 degrees Fahrenheit, which is considered the standard temperature for indoor heating.

HDD = 65°F - 35°F
HDD = 30°F

Therefore, the HDD for the month of January in State College, PA is 30 degrees Fahrenheit.
Hi! To calculate the Heating Degree Days (HDD) for the month of January in State College, PA with an average outside temperature of 35 degrees F, follow these steps:

1. Determine the base temperature: In the US, the base temperature is commonly 65 degrees F.
2. Subtract the average temperature from the base temperature: 65 - 35 = 30 degrees.
3. Multiply the difference by the number of days in the month: January has 31 days, so 30 * 31 = 930.

So, the HDD for the month of January in State College, PA is 930.

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To calculate the HDD for the month of January in State College, PA, we need to first determine the base temperature. The base temperature is the temperature below which a building needs to be heated in order to maintain a comfortable indoor temperature. In this case, we will use a base temperature of 65 degrees F.

To calculate the HDD, we need to subtract the average daily temperature from the base temperature and sum up the values for each day of the month. If we assume that January has 31 days, we can calculate the HDD as follows:

HDD = (65 - 35) x 31
HDD = 930

So the HDD for the month of January in State College, PA is 930. This means that during the month of January, there were 930 heating degree days, which indicates the amount of heating required to maintain a comfortable indoor temperature. It is important to note that the HDD can vary depending on the base temperature used, so it is important to choose a base temperature that is appropriate for the climate and the building being heated.

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Using the Bisection method, we need to find solutions accurate to within \(10^{-5}\) for the equations \(x^{2}\)+ 2x - 3 = 0 in the range -2 < x < 2 and x - \(2^{-4}\) = 0 in the range 0 < x < 1.

For the equation \(x^{2}\) + 2x - 3 = 0:

We start with an initial interval [-2, 2] and evaluate the function at the midpoint of the interval. If the function value is close to 0, we consider it as the solution. Otherwise, we narrow down the interval by dividing it in half and selecting the subinterval where the function changes sign. This process is repeated until the desired accuracy is achieved (within \(10^{-5}\)). The number of iterations required will be recorded.

For the equation x - \(2^{-4}\)= 0:

We follow the same steps as above but with the initial interval [0, 1]. Again, we iterate until the desired accuracy is reached and keep track of the number of iterations.

By applying the Bisection method and counting the number of iterations for each equation, we can find solutions accurate to within 10^-5 for both equations and determine the required number of iterations for each case.

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The lateral area of the square pyramid in this problem is given as follows:

672 ft².

The area of a rectangle of base b and height h is given by half the multiplication of dimensions, as follows:

A = 0.5bh.

Considering a right triangle with sides of 14/2 = 7 ft and h ft, and hypotenuse of 25 ft, applying the Pythagorean Theorem, the height of each lateral face is given as follows:

h² + 7² = 25²

\(h = \sqrt{25^2 - 7^2}\)

h = 24.

The lateral area of the pyramid is composed by four triangles of base 14 ft and height 24 ft, hence it is given as follows:

LSA = 4 x 1/2 x 14 x 24

LSA = 672 ft².

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Answer:

3, 1

Step-by-step explanation:

Slope is rise/run, with the rise being the y increase, and x being the x increase.

Since the run represented is 3, and the rise is 9:

9/3 = 3

The y-intercept is the value of f(x) (which is y) when x = 0

since the equation of the line is:

f(x) = 3x + b

we need to go down 3 units of x since x = 0

3 x 3 = 9

10 - 9 = 1

b = 1

The y-intercept is 1.

Answer:

2.23

Step-by-step explanation:

The value of x to one decimal place in the given question is 30.33 and 14.76.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot. Trigonometric ratio can be defined in terms of ratios of perpendicular, bases and hypotenuse. These are defined only in right angled triangles (triangles whose one angle is of 90 degree measure).

We are given that;

In triangle 1

Hypotenuse= x

Perpendicular=27

Angle between base and hypotenuse= 63

In triangle 2

Hypotenuse= 18

Base= x

Angle between hypotenuse and base=35

Now in triangle 1

sin63= 27/x

0.89=27/x

x=27/0.89

x=30.33

In triangle 2

cos35=x/18

0.82=x/18

x=14.76

Therefore by trigonometric identities the answer will be 30.33 and 14.76.

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To determine the 90% confidence interval for the mean repair cost of VCRs, we need to find the critical value for constructing the interval. The sample data consists of 1414 randomly selected VCRs, with a sample mean repair cost of $55.95 and a sample standard deviation of $18.89.

The critical value is determined based on the desired confidence level and the sample size. In this case, we want a 90% confidence interval, which means we need to find the critical value that leaves 5% in the tails of the distribution (since the remaining 90% will be in the interval).

Using a standard normal distribution table or a calculator, the critical value for a 90% confidence level is approximately 1.645 (rounded to three decimal places). This value represents the number of standard deviations away from the mean that includes 90% of the distribution.

In the next step, we will use this critical value along with the sample mean, standard deviation, and sample size to calculate the confidence interval for the mean repair cost of the VCRs.

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Answer:

(- 2, - 1, 0 )

Step-by-step explanation:

to find the range (values of y ) substitute the values of x from the domain.

x = - 2 : y = 2(- 2)² + 3(- 2) = 2(4) - 6 = 8 - 6 = 2

x = - 1 : y = 2(- 1)² + 3(- 1) = 2(1) - 3 = 2 - 3 = - 1

x = 0 : y = 2(0)² + 3(0) = 0 + 0 = 0

range is (- 2, - 1, 0 )

Answer:

His quiz score increased by about 7%.

Step-by-step explanation:

Take the two quiz scores and add them together to get 159.

Take the difference between the two quiz scores to get 11.

Divide the difference by the sum to get 0.0692 or about 7%.

Answer: 4.00

Step-by-step explanation: There are 60 minutes in 1 hour. So, 60/15 gives you your answer. 60/15 = 4, but it says write it as a decimal. So, your answer will be 4.00.

The value of "x" must be greater than or equal to 11 inches to make the perimeter of the rectangle at least 34 inches.

To find the values of "x" that will make the perimeter of the rectangle at least 34 inches, we need to use the formula for the perimeter of a rectangle:

Perimeter = 2 * (Length + Width)

Given that one side of the rectangle is 6 inches (Width) and the other side is "x" inches (Length), the perimeter is:

Perimeter = 2 * (x + 6)

Now, we want the perimeter to be at least 34 inches, so we can set up an inequality:

2 * (x + 6) ≥ 34

Now, solve for "x":

x + 6 ≥ 34 / 2

x + 6 ≥ 17

Subtract 6 from both sides:

x ≥ 17 - 6

x ≥ 11

So, the value of "x" must be greater than or equal to 11 inches to make the perimeter of the rectangle at least 34 inches.

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Answer:

The triangles are similar by SSS

because the first two sides which is 3•5+3•5 add up to 7

while the second sides which is 4+4 adds up to 8 so they are similar