Show that the setGof all square matrices[aij]n×nsuch that
det[aij]n×n=±1 is a group under matrix multiplication. Show also
that all thosematrices inGfor which det[aij]n×n=1. form a
group.

Answer:

B

Step-by-step explanation:

step

Answer

Your answer is gonna be 2 pounds.

Step-by-step explanation:

there is 16 Oz in a pound and there is 32 Oz, and the half of 32 is 16. Your welcome -w-

Answer:

yes 2 lbs

Step-by-step explanation:

16 oz = 1 lb

16+16=32

Answer:

2(x-9)

Step-by-step explanation:

Answer:

Step-by-step explanation:

A squiggly line can refer to a variety of different shapes or patterns. To create an equation using cosine that resembles a squiggly line, you can use a combination of sine and cosine functions with different frequencies and amplitudes. Here's an example equation that produces a squiggly pattern:

y = A * cos(B * x) + C * sin(D * x)

In this equation, A, B, C, and D are constants that you can adjust to modify the shape and characteristics of the squiggly line. By experimenting with different values for these constants, you can create various squiggly patterns. Keep in mind that the specific equation may vary depending on the exact shape and features you have in mind for the squiggly line.

The given vector field is not conservative.

Given: f(x, y) = (2xy y^(-2))i + (x^2-2xy^(-3))j. y > 0

We have to determine whether or not f is a conservative vector field. If it is, find a function f such that f = ∇f.

The vector field is called conservative if it is a gradient of a scalar function, called a potential function. The potential function of a conservative field is not unique; it is determined only up to a constant function.

Let's find the curl of vector field f, If curl f = 0, then f is conservative. Suppose curl f ≠ 0, then f is not conservative. We have,

curl f = (d/dx)i + (d/dy)j((x^2 - 2xy^(-3)) - (2xy y^(-2)))

= (d/dx)i + (d/dy)j(x^2 - 2xy^(-3) - 2xy^(-2))

= (d/dx)i + (d/dy)j(x^2 - 2xy^(-2)(y+1))

Now, The curl of the vector field is not zero, i.e., curl f ≠ 0. Therefore, the given vector field f is not conservative.

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Answer:

b

Step-by-step explanation:

Using relations in a right triangle, the missing side lengths are given as follows:

47) AB = 10.

48) AC = 8.66.

49) XZ = 8.

50) XY = 11.31.

The relations in a right triangle are given as follows:

Hence, for item 47, we have that:

sin(30º) = 5/AB

0.5 = 5/AB

AB = 5/0.5

AB = 10.

For item 48, applying the Pythagorean Theorem:

AC² + 5² = 10²

AC = sqrt(10² - 5²)

AC = 8.66.

For item 49:

tan(45) = 8/XZ

1 = 8/XZ

XZ = 8.

For item 50, applying the Pythagorean Theorem:

XY² = 8² + 8²

XY = sqrt(128)

XY = 11.31.

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The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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On solving the provided question, we can say that  Garfield needs 1,296 cubic inches of litter to fill his litter box.

Geometrically speaking, a cuboid is a solid or three-dimensional shape. With 8 vertices, 12 sides, and 6 rectangular faces, a cuboid is a convex polyhedron. A cuboid is a different name for it. With six square faces, a ti i cube is a cuboid. Bricks and books are examples of objects found in boxes. These are the main differences between cubic and cubic: The faces of a cube are square and equal in size, as opposed to a cube's rectangular faces. Although the structures of the cube and cuboid are visually similar, they differ in important respects, particularly with regard to side length, diagonal, and area.

Volume = length x width x height

Volume = 12 inches x 18 inches x 6 inches

Volume = 1,296 cubic inches

Therefore, Garfield needs 1,296 cubic inches of litter to fill his litter box.

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The requreid right model is 5.5 inches tall. Option B is correct.

We can set up a proportion based on the information given:

1 in on the left model corresponds to 30 ft in real life

1 in on the right model corresponds to 15 ft in real life

Let h be the height of the right model in inches.

Then we have:

2.75/1 = h/15

Cross-multiplying, we get:

1/ h = 2.75 / 15

h = 5.5

Therefore, the right model is 5.5 inches tall. Option B is correct.

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Call the minutes she spend skateboarding on Monday as x

On Tuesday, she skateboarded for twice as many minutes -> 2x
On wednesday, she skateboarded for half the sum of minutes from Monday and Tuesday -> (x+2x)/2 = 1.5x

In total, she skateboarded a total of 3 hours (180 minutes) -> 2x + x + 1.5x = 4.5x = 180

-> x = 180 : 4.5 = 40

So, she spend 40 minutes on Monday, 80 minutes on Tuesday and 60 minutes on Wednesday


Recheck : She spend 80 : 40 = 2 times as much time on Tuesday than Monday, and she spend half the sum of Monday and Tuesday : (40+80)/2 = 60, and 40 + 80 + 60 adds up to 180, which is 3 hours.

There is sufficient evidence that the valve performs above the specifications.

Null Hypothesis (H0): The mean pressure of the valve is equal to 5.3 lbs/square inch

Alternative Hypothesis (H1): The mean pressure of the valve is greater than 5.3 lbs/square inch

To test whether the valve performs above the specifications, a hypothesis test can be used. The test statistic used will be a t-test since the sample size is below 30. The critical value at the 0.05 level is 1.645. The formula for the t-test is: t = (X-μ)/(s/√n) , where X is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.

Plugging in the known values, the t-test is calculated as: t = (5.5-5.3)/(0.7/√100) = 2.571. Since this value is greater than the critical value at the 0.05 level (1.645), we can reject the null hypothesis and conclude that there is sufficient evidence that the valve performs above the specifications.

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Answer:

8

Step-by-step explanation:

1+2+3=6

4+5+6=15

15-6=9-1=8

Answer:

27864000

Step-by-step explanation:

Do 8.1*10^4 * 3.44*10^2

Answer:

Height of building is 57.12 m.

Step-by-step explanation:

Let us try to understand the given dimensions as per the attached diagram.

Please refer to attached image (Right angled \(\triangle OBT\))

with \(\angle B =90^\circ\)

Let O be the point where the Surveyor is standing.

B be the point of the base of building.

T be the point of top of building.

As per question statement,

\(\angle O = 55^\circ\)

Side OB = 40 m

To find: Side BT = ?

Using tangent trigonometric identity:

\(tan\theta =\dfrac{Perpendicular}{Base}\)

\(tanO =\dfrac{BT}{BO}\\\Rightarrow tan55^\circ = \dfrac{BT}{40}\\\Rightarrow BT = tan55^\circ \times 40\\\Rightarrow BT = 1.43\times 40\\\Rightarrow BT = 57.12 m\)

So, height of building is 57.12 m.

The area of the parallelogram formed by the given vertices is 26 square units.

To find the area of the parallelogram formed by the vertices (0,0), (4,7), (6,4), and (10,11), we can use the formula for the area of a parallelogram in terms of the coordinates of its vertices.

Let's label the vertices as A(0,0), B(4,7), C(6,4), and D(10,11). We can find the vectors AB and AC by subtracting the coordinates of the initial point from the coordinates of the terminal point:

Vector AB = (4-0, 7-0) = (4, 7)

Vector AC = (6-0, 4-0) = (6, 4)

Now, we can calculate the cross product of AB and AC to find the area of the parallelogram:

Area = |AB x AC| = |(4, 7) x (6, 4)|

The cross product of two vectors in 2D is given by the formula:

|AB x AC| = |(4, 7) x (6, 4)| = |44 - 76|

Evaluating the expression:

|AB x AC| = |16 - 42| = |-26| = 26

Therefore, the area of the parallelogram formed by the given vertices is 26 square units.

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Answer:

Radius

Step-by-step explanation:

I know the answer

Answer:

Radius

Step-by-step explanation:

Three friends decide to share the cost to rent an apartment equally. The apartments that they are considering cost at least 1 200 per month. Write and solve an inequality to represent each person's share of the rental cost​

Lets highlight some key words.

There are three friends and they equally have to share an unknown amount of number to earn up to the 1200 per month,

X=Amount needed to pay the rent fee.

Since there are 3 friends and they have to split we have to multiply,

3x, "At least" is less than or equal to so .

3x \(\leq\)

Additionally theres 1200 per month so the friends need to share there rent and 1200 is the total it should be put as

3x \(\leq\) $1200

To add up to the rent, and to solve the inequality

we have to do the opposite of multiplication, and divide.

1200/3 = 400, x \(\leq\) 400

The approximate age of the bone is 22920

The half-life of an isotope is characterized as the sum of time it takes for there to be half the beginning sum of the radioactive isotope present.

since we know for half time

N = N₀(1/2) n     ..........1

where n is the new amount whereas N₀ is the initial amount  and n is the number of half time

since the ratio of  14c:12c  is 1/16

so the equation 1 gets converted  to

N/No =(1/2)n

=>1/16 = (1/2)n

=>(1/2)4 = (1/2)n

=> n= 4

So the age of the bone will be 4*  5730 =22920

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You find a piece of bone that has a 14c/12c ratio that is 1/16 that of the atmospheric 14c/12c ratio. If the half-life of 14C is 57305730 years what is the approximate age of the bone?

Answer:

C

Step-by-step explanation:

Simple Random Sample

A sample in which each individual in the population has an equal chance to be selected is a simple random sampling ( SRS )

The most accurate type of probability sampling is random sampling. Each person in a population has an equal probability of getting selected for the sample thanks to this method of sampling.

This kind of sampling is perfect for highly controlled investigations where it is unacceptable to have human bias in the selection of the sample.

Each sampling unit in a population has an equal probability of being included in the sample when using simple random sampling (SRS). As a result, each potential sample has an equal probability of being chosen.

Given data ,

Let the sampling be represented as A

Now , in the sampling , each individual in the population has an equal chance to be selected

So , Each sampling unit in a population has an equal probability of being included in the sample when using simple random sampling (SRS).

And , each potential sample has an equal probability of being chosen

Hence , the sampling is a simple random sampling ( SRS )

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The coordinates of the center is (32, 40.5).

length of the radius of the circle is 73 units.

The coordinates of the center is solved using the formula for midpoints expressed as

Midpoint x-coordinate = (x₁ + x₂) / 2

Midpoint y-coordinate = (y₁ + y₂) / 2

Plugging in the values:

x₁ = 8 and y₁ = 13

x₂ = 56 and y₂ =68

Midpoint x-coordinate

= (8 + 56) /2

= 64/2

= 32

Midpoint y-coordinate

= (13 + 68) /2

= 81/ 2

= 40.5

distance formula will be used to find the length of the radius of the circle

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Plugging in the values:

= √[(56 - 8)² + (68 - 13)²]

= √(48² + 55²)

= √(2304 + 3025)

= √5329

= 73

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Answer:

y = 4\(\sqrt{3}\)

Step-by-step explanation:

Using the altitude- on- hypotenuse theorem

( leg of large Δ )² = ( part of hypotenuse below it ) × ( whole hypotenuse )

y² = 6 × (6 + 2) = 6 × 8 = 48 ( take the square root of both sides )

y = \(\sqrt{48}\)

  = \(\sqrt{16(3)}\) = \(\sqrt{16}\) × \(\sqrt{3}\) = 4\(\sqrt{3}\)

Answer: 4/3

Step-by-step explanation:

Answer:

Check explanation

Step-by-step explanation:

Sin∅=5/6

Opp=5. Hyp=6

Adj= (√6²+5²)

= √11

Cos∅=(√11)/6

Tan∅=5/(√11)

The F ratio in a completely randomized ANOVA is a) MSTR/MSE.

The F ratio in ANOVA is a measure of the variability between groups compared to the variability within groups. MSTR (mean square treatment) represents the variability between groups, while MSE (mean square error) represents the variability within groups.

The F ratio is the ratio of MSTR to MSE. A high F ratio indicates that the variability between groups is larger than the variability within groups, suggesting that there is a significant difference between at least two of the group means.

In contrast, a low F ratio suggests that there is little difference between group means, and any observed differences may be due to chance. Therefore, the F ratio is an essential statistic in ANOVA for determining the significance of the observed differences between groups.

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The distance the ladder reached to the building is 32.36 metres.

A ladder is leaning against the side of a building. The ladder is 10 meters long and the angle between the ladder and the building is 18°.

Therefore, the distance of the ladder to the building can be calculated using trigonometric ratios as follows:

Therefore,

sin 18 = opposite / hypotenuse

sin 18 = 10 / x

cross multiply

x = 10 / sin 18

x = 10 / 0.30901699437

x = 32.3624595469

Therefore,

distance of the ladder on the building = 32.36 metres

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Answer:

76.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(6.25\times (0.74)^{5}=\)

Answer:

The answer is 1.38687914 but if you round it to the nearest tenth then it is 1.4

Step-by-step explanation:

Answer:

= -2/7

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

    = ( 6-14)/(13 - -15)

    = (6-14)/(13+15)

    = -8/28

   = -2/7

The hypothesis test is left-tailed because the financial analyst wants to test if the proportion of stock portfolios containing high-risk stocks is lower than 0.10.

In other words, they are interested in determining if the proportion is significantly less than the specified value of 0.10. A left-tailed hypothesis test is used when the alternative hypothesis suggests that the parameter of interest is smaller than the hypothesized value. In this case, the alternative hypothesis would be that the proportion of stock portfolios with high-risk stocks is less than 0.10.

By conducting a left-tailed test, the financial analyst is trying to gather evidence to support their claim that their clients have a lower proportion of high-risk stock portfolios. They want to determine if the observed data provides sufficient evidence to conclude that the true proportion is indeed less than 0.10, which would support their claim of a lower proportion of high-risk stocks.

Therefore, a left-tailed hypothesis test is appropriate in this scenario.

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When receiving ammunition, unit personnel perform three tasks: ensuring items requested match item numbers on DA Form 3151-R, loading and securing the ammunition, and placarding the vehicle.

The first task performed by unit personnel when receiving ammunition is to ensure that the items requested match the item numbers on DA Form 3151-R. This form serves as a record of the types and quantities of ammunition being received. By comparing the requested items with the item numbers on the form, personnel ensure accuracy and prevent any discrepancies or errors in the delivery.

The second task involves the loading and securing of the ammunition. Unit personnel are responsible for safely and efficiently loading the ammunition onto the designated vehicle or storage area. This includes following proper handling procedures, using appropriate equipment, and adhering to safety protocols. The ammunition must be securely stored and arranged to prevent shifting or damage during transportation.

The final task is to placard the vehicle. Placarding involves visibly displaying the necessary warning signs or labels on the vehicle that indicate the presence of ammunition. This step is crucial for safety and compliance purposes, as it alerts other personnel and drivers to exercise caution when approaching or handling the vehicle. Clear and prominent placarding helps prevent accidents and ensures that everyone involved is aware of the potential hazards associated with transporting ammunition.

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