Use a property of determinants to show that A and A' have the same characteristic polynomial. Choose the correct answer below. A. Start with det(A)= ( 1)det (A™). Then use the formula AAT = 1. B. Start with det (AT-2) = det (AT-AT) = det(A - )". Then use the formula det AT=det A. C. Start with det (AAT). Use the formula det AB = (det Aydet B) to write det (AAT) = (det A)(det A). Then use the formula AAT EI.

Answer:

72 Grams

Step-by-step explanation:

You do 288/24 and then you would get 12 and then you would do 6 * 12 and get 72   (12 cups of tea.. darn)

Answer:

the first one is correct

Step-by-step explanation:

this is the same way as writing 7 to the power of four, but all of the sevens are negative in your case

Answer:-7x-7x-7x-7

Step-by-step explanation:

Answer:

6,78

Step-by-step explanation:

Data size=10, Sample mean=15, and Standard sample deviation=6,782

Answer:

A

Step-by-step explanation:

True, The range of a linear transformation defined by the matrix transformation t(x) = Ax is equal to the column space of matrix A.


The range of a linear transformation defined by the matrix transformation t(x) = ax is equal to the column space of matrix A (col A).

The range of a linear transformation is the set of all possible output values. In this case, the matrix A represents the transformation, and the column space of matrix A represents the span of the columns of A. The column space of matrix A is the set of all possible linear combinations of the columns of A.

To prove that the range of the linear transformation t(x) = Ax is equal to the column space of matrix A, we can show that every vector in the column space of A can be obtained as an output of the transformation t(x) = Ax. Additionally, we can show that every output of the transformation t(x) = Ax belongs to the column space of A.


Therefore, it is true that the range of a linear transformation defined by the matrix transformation t(x) = Ax is equal to the column space of matrix A.

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39 subjects were tested in this simple one-way ANOVA.

The df for F distribution is (treatment df, error df)

Using given information

Treatment df = 7

Error df = 31

Total df= 7+31 = 38

Again, total df = N-1, N= number of subjects tested

Then, N-1 = 38

=> N= 39

One-way ANOVA is typically used when there is a single independent variable or factor and the goal is to see whether variation or different levels of that factor have a measurable effect on the dependent variable.

The t-test is a method of determining whether two populations are statistically different from each other, and ANOVA determines whether three or more populations are statistically different from each other.

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20.11 cm3/min is the rate at which the snowball's volume is decreasing.

Given,

The decreasing diameter when the spherical ball is melting = 0.2 cm/min

We have to find the rate in decrease in volume of snowball when diameter is 8 cm.

Here,

Volume of sphere, V = 4/3 π r³ = 4/3 π (D/2)³ = 1/6 π D³

Considering differences according to time,

dV/dt = d/dt (1/6 π D³) = 1/6 π × 3D² dD/dt

dV/dt = 1/2 π D² dD/dt

Substituting

D is 8 cm, and the diameter is changing at a rate of 0.2 cm/min.

dV/dt = 1/2 π D² dD/dt

dV/dt = 1/2 × π × 8² × 0.2 = 20.11 cm³/min

Therefore,

Decreasing snowball volume at a rate of 20.11 cm3/min

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Answer:

Caroline gets 4*5 = 20 pounds

Colin gets 9 * 4     = 36 pounds

Sarah gets 6*4      = 24 pounds.

Step-by-step explanation:

The ratios are 5x + 9x + 6x

5x + 6x = 11x

Caroline and Sarah get a total of 44 pounds. They don't get 44 pounds each.

11x = 44            Divide by 11

x = 44/11

x = 4

Colin gets 9x

x = 4

9*4 = 36

Colin gets 35 pounds.

Caroline gets 4*5 = 20 pounds

Colin gets 9 * 4     = 36 pounds

Sarah gets 6*4      = 24 pounds.

Caroline and Sarah get 20 + 24 = 44

Answer:

10,000 vehicles.

Step-by-step explanation:

20 percent of 50,000 is 10,000.

B. More students prefer black Model C3 calculators than white Model B2 calculators.

       - Ap3x verified

Answer:either mutilying or dividing so 17 divided by 5 will be 3.4 in decimal form and multiplying 17 x 5 = 85

Step-by-step explanation:

Answer:

w = 7 feet

Step-by-step explanation:

Volume of a rectangle prism = length × width × height

Length = 7 feet

Width = ?

Height = 3 1/4 feet

Volume = 159 1/4 cubic feet

Volume of a rectangle prism = length × width × height

159 1/4 = 7 × w × 3 1/4

637/4 = 7 × w × 13/4

637/4 = 7 × 13/4 × w

637/4 = 91/4w

w = 637/4 ÷ 91/4

= 637/4 × 4/91

= 637*4 / 4*91

= 2548 / 364

w = 7 feet

The given points (a) lies on the line, (b) does NOT lie on the line, and (c) lies on the line.

A point lies on a line if and only if it can be written as the sum of a scalar multiple of a direction vector and a position vector of the line.

To determine if each point lies on the line defined by X = -5 + t, y = 6t, and z = 6+ t, we can substitute each point into this equation to see if it is equivalent.

(a) (0, 30, 11):

-5 + t = 0, so t = 5

y = 6t = 6 × 5 = 30

z = 6 + t = 6 + 5 = 11

So, (0, 30, 11) can be written as -5 + 5i + 6 × 5j + 6k = -5i + 30j + 11k, which lies on the line.

(b) (5, 6, 11):

-5 + t = 5, so t = 10

y = 6t = 6 × 10 = 60

z = 6 + t = 6 + 10 = 16

So, (5, 6, 11) does NOT lie on the line.

(c) (-7, -12, 4):

-5 + t = -7, so t = -2

y = 6t = 6 × -2 = -12

z = 6 + t = 6 + -2 = 4

So, (-7, -12, 4) can be composed as -5 - 2i + -12j + 4k = -7i - 12j + 4k, which lies on the line.

Therefore, (a) lies on the line, (b) does NOT lie on the line, and (c) lies on the line.

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--The given question is incomplete; the complete question is

"Determine whether each point lies on the line.

X = -5 + t, y = 6t, z = 6+ t                                                                                                          (a) (0, 30, 11)                                                                                                                                (b) (5, 6, 11)                                                                                                                                          (c) (-7, -12, 4)"--

Answer:

Step-by-step explanation:

The length and the width of the rectangle basee on the perimeter will be 2 and 4cm.

How to calculate the value?

From the given rectangle,

Length of the rectangle = 5 cm

Width of the rectangle = 10 cm

Ratio of length : width = 1 : 2

Perimeter of the rectangle = 2(l + b)= 150 cm

l + b = 75 -----(1)

Since, l : b = 1 : 2

b = 2l ------(2)

From equations (1) and (2)

l + 2l = 75

3l = 75

l = 75/3

l = 25 m

Width 'b' = 2(25) = 50 m

Now we have to draw a rectangle with a scale = 25 : 2

Therefore, the scale factor =

l = 2 cm

Similarly,

w = 4 cm

Now we can draw a rectangle with length = 2 cm and width = 4 cm.

Step-by-step explanation:

Given

y = - 8 /5 x + 2

Comparing the given equation with y = mx + c

slope (m) = - 8/5

Hope it will help :)

Answer:

-8/5

Explanation:

The equation is written in slope-intercept form, aka y = mx + b, where m is the slope and b is the y-intercept.

In slope intercept, the slope is always the number that comes before x.

In the equation y = -8/5x + 2, that number is -8/5.

Hence, the answer is -8/5.

Using the Fundamental Counting Theorem, it is found that there are 60 possible 3-course meals.

Given,

In the question:

A restaurant offers a choice of 4 salads, 5 main courses, and 3 desserts.

To find the how many possible 3-course meals are there?

Now, According to the question:

Let's know:

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with  ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N=n_1\) × \(n_2\) × \(n_3\)... ×\(n_n\)

In this problem, considering the number of salads, main courses and desserts, we have that:

\(n_1=4 , n_2=5,n_3=3\)

The total number of options is given by:

N = 4 × 5 × 3

N = 60

Hence, Using the Fundamental Counting Theorem, it is found that there are 60 possible 3-course meals.

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The longest side of a triangle with angles of 50°, 60°, and 70° and a length of 9 furlongs on the shortest side is approximately 12.2 furlongs.

             The Law of Cosines is used to find the remaining parts of an oblique (non-right) triangle when either the lengths of two sides and the measure of the included angle are known (SAS) or the lengths of the three sides (SSS) are known.

         To calculate this, using the Law of Cosines formula,

  which is:

                \(c^2 = a^2 + b^2 - 2abcosC\)

where c is the longest side, a is the shortest side, b is the other side of the triangle, and C is the angle

between a and b.

In this case, c = 12.2 furlongs,

                    a = 9 furlongs,

                    b is the side opposite the angle 70°, and C = 70°.

So the formula becomes:

        \(c^2 = 92 + b^2 - 2(9)(b)cos70^{o}\)

Solving for b gives us b = 12.2 furlongs, which is the length of the longest side.

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Answer:

5

Step-by-step explanation:

You should do cross multiplication.

Multiply 3 by 10 and 6 by 'h'

So 3×10=6h

6h=30

h=30÷6=5

A linear function is a function that can be written of the form y = mx + c

m = slope

c = y-intercept

C. Sean works at a used car lot. His yearly income can be modeled by the function f(x) = 0.1x + 12000. In this case, 0.1 represents how much commission he makes per dollar in sales.

This is because the coefficient of x (0.1) is the slope and represents the rate at which Sean's income increases with each dollar of sales he makes.

Here m = 0.1

D. Roy is saving money to buy a motorcycle. He opens a savings account at his local bank. He models his savings plan by the function f(x) = 250x + 500.

In this case, 250 represents the amount Roy saves per unit of time (e.g., per month or per year). This is because the coefficient of x (250) is the slope and represents the rate at which Roy's savings increase over time.

Here m = 250

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Answer:

9/28 and 32.1%

Step-by-step explanation:

So the sample space consists of all products for (5 * 1, 5 * 2, 5 * 3.... and the same thing for 6, 7, and 8)

This gives you the sample space: {5, 10, 15, 20, 25, 30, 6, 12, 18, 24, 30, 36, 7, 14, 21, 28, 35, 42, 8, 16, 24, 32, 40, 48}.

The size of the sample space is 4 * 6, since for each number (5, 6, 7, 8), there are 6 products (the dice have six numbers). This means the sample space has 24 combinations, you can also verify this by manually counting the sample space.

Now filtering the sample space so you only get a product that is 28 or higher you get: {30, 30, 36, 28, 35, 42, 32, 40, 48} which has 9 possible combinations that have a product greater than or equal to 28. Divide this by the entire sample space and you get a probability of: 9/28, which in decimal form is approximately: \(0.3214\). Multiplying this by 100 gives you: \(32.1\)%

Answer:

F type connector

Step-by-step explanation:

Use an F-type connector for broadband cable connections that use coaxial cable.

The F connector is a coaxial RF connector commonly used for "over the air" terrestrial television, cable television and universally for satellite television and cable modems,

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F type connector

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Answer:

Can't answer

Step-by-step explanation:

There is no math.

The given statement , police departments continue to control the sole statistical data available to measure homicide rates in the united states is false.

Domestic disagreements, interpersonal violence, violent fights over land resources, intergang violence over turf or control, and predatory violence and murders by armed organizations are all examples of intentional homicides.

Intentional homicide does not cover all intentional killing; the distinction is usually in the manner in which the killing is carried out.

Homicide is typically committed by individuals or small groups, but killing in armed conflict is typically performed by highly cohesive organisations of up to several hundred members and is thus typically omitted.

The 2020 murder/homicide rate in the United States was 6.52,

a 28.64% rise over 2019.

The murder/homicide rate in the United States in 2019 was 5.07,

up 1.19% from 2018.

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Answer:

6

Step-by-step explanation:

4 x 3 = 12

8 x 3 = 24

12 / 4 = 3

24 / 4 = 6

x must be 6

The proofreading rate will be ( 7.5 pages/ hour) and the cost per hour will be $20.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Karyn proofreads 15 pages in 2 hours for $40. The rate will be calculated as:-

Rate of reading = ( 15 / 2 )

Rate of reading = ( 7.5 ) pages per hour

The cost will be calculated as:-

For 2 hours = $40

For 1 hour = ( 40 / 2 )

For 1 hour = $20

Therefore, the proofreading rate will be ( 7.5 pages/ hour) and the cost per hour will be $20.

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The probability of the complementary event of not drawing a red letter is 84.6 %

Probability is the likelihood of an event.

To find the probability of the complementary event of not drawing a red lettert P(not red). We first need to find the probability of drawing a red letter, P(red)

Now the probability of drawing a red letter P(red) = number of red letters/total number of letters

Since there are 4 red letters and 24 letters in all, so, substituting these into the equation, we have

P(red) = number of red letters/total number of letters

= 4/26

= 2/13

Now, we know that from the law of probability, for complementary events

P(red) + P(not red) = 1

So, P(not red) = 1 - P(red)

= 1 - 2/13

= 11/13

= 0.8462

In percentage P(not red) = 0.8462 × 100 %

= 84.62 %

≅ 84.6 %

So, the probability is 84.6 %

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Answer:

$25.20

Step-by-step explanation:

First, take the 50% off the sales price:

($48)*(-0.50) = -$24.

($48 - $24) = $24 sale price.

Tax on $24 is ($24)*(0.05) = $1.20

Add the price and sales tax:

$24 + $1.20 = $25.20

Answer:

x= 26 y = 49

Step-by-step explanation:

let the first number be x and second be y

then

according to the question,

x + y= 75

x + (2x- 3) = 75

x + 2x - 3 = 75

3x = 75 +3

3x = 78

x = 78/3

x = 26

thus first number is 26

and second number is 2x-3=2×26-3

= 52 - 3= 49