Which of the following sets of vectors in R3 are linearly de- pendent? (a) (4, -1,2). (-4, 10, 2) (b) (-3.0.4). (5. -1,2), (1,1.3) (c) (8,-1,3), (4,0,1) (d) (-2, 0, 1), (3, 2, 5), (6.-1.1), (7,0, -2) 11 ofrector in p4 are linear de

Answer: A.(42)

Step-by-step explanation: got it right on edg2020

The measure of angle YUV is 132 degrees.

An angle is formed from the intersection of two lines at a point.

In triangle UVZ, UZ = VZ (isosceles), hence ∠ZUV = ∠ZVU:

∠ZUV + ∠ZVU + ∠UZV = 180 (sum of angles in a triangle)

2∠ZUV + 84 = 180

∠ZUV = 48°

∠ZUV + ∠YUV = 180° (sum of angles in a straight line)

48 + ∠YUV = 180

∠YUV = 132°

The measure of angle YUV is 132 degrees.

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9514 1404 393

Answer:

  4 × 2; 5 × 5; 5 × 2; 5 × 3; 5 × 5; 4.5 × 5

Step-by-step explanation:

The scale factor of 1 in : 4 ft tells you that dividing the foot dimension by 4 will give you the inch dimension exactly.

Fill in the boxes in the bottom row by dividing the number above it by 4.

  LR 4 × 2; K 5 × 5; O 5 × 2; B1 5 × 3; B2 5 × 5; Ba 4.5 × 5

The quantity theory of money is an economic theory that suggests a direct relationship between the money supply (M) and the price level (P) in an economy

According to this theory, the equation MV = PY holds, where V represents the income velocity of money and Y represents real output. This equation states that the total value of money spent in an economy (MV) is equal to the total value of goods and services produced (PY).

The quantity theory of money assumes that the velocity of money (V) and real output (Y) are relatively stable over time and that changes in the money supply (M) primarily affect changes in the price level (P). It implies that an increase in the money supply will lead to inflation, as there is more money chasing the same amount of goods and services.

Therefore, the correct answer is "static quantity theory of money," which refers to the idea that the relationship between money, velocity, price level, and real output is static and can be represented by the equation MV = PY.

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Answer:

In mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set. Typical examples are functions from integers to integers, or from the real numbers to real numbers

Step-by-step explanation:

Therefore, the vector ä = AB is (8, -2, 2). To find the vector ä = AB, we simply subtract the coordinates of point A from the coordinate

To find the vector AB (also denoted as vector ä) between the points A (-5, 1, 4) and B (3, -1, 6), we need to calculate the difference between the coordinates of point B and point A. This can be done using the formula: AB = (Bx - Ax, By - Ay, Bz - Az).

Using the given coordinates, we have:

Ax = -5, Ay = 1, Az = 4
Bx = 3, By = -1, Bz = 6

Now, we'll apply the formula to find the components of vector AB:

ABx = Bx - Ax = 3 - (-5) = 8
ABy = By - Ay = -1 - 1 = -2
ABz = Bz - Az = 6 - 4 = 2

So, the vector AB (or vector ä) is given by:

AB = (8, -2, 2)

Thus, the vector connecting points A and B has components (8, -2, 2).

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Answer:

x=4 y=-4

Step-by-step explanation:

Step: Solve5x+2y=12for x:

5x+2y=12

5x+2y+−2y=12+−2y(Add -2y to both sides)

5x/5=−2y+12/5

x= −2/5y+12/5

−2/5y+12/5 for x in5x−2y=28

5(−2/5y+12/5)−2y=28

−4y+12=28(Simplify both sides of the equation)

−4y+12+−12=28+−12(Add -12 to both sides)

−4y=16

−4y/−4=16/−4

(Divide both sides by -4)

y=−4

Substitute −4 for y in x=−2/5y+12/5

x= −2/5y+12/5

x=−2/5(−4)+12/5

x=4

Answer:

the correct option is 75

Step-by-step explanation:

The standard notation for how to write tables is in the next way.

\(\left[\begin{array}{ccc}inpt&outpt\\x_1&y_1\\x_2&x_2\end{array}\right]\)

Where the input values are represented in the x-axis (the horizontal one) and the output values are on the y-axis (the vertical one).

In this case, we want to find the number of (x-value) for the height of 250.

Then we need to look at the vertical axis and find the value y = 250.

Now let's move to the right until you meet with the point.

Once you reach the point, move down to the axis, the value at which you intersect the axis is the x-value.

We can see that the point is on the middle of the x-values:

x = 70 and x = 80

Then the x-value of the point is x = 75

This means that the correct option is 75

Answer:

Step-by-step explanation:

8 more= +8

twice a number = 2x
difference between the number and 5=

2x+8=4x(5-x)
2x+8=9x-x
2x+8=8x
8=8x-2x
8=6x
x=6/8
x=3/4

Answer: x^6+6x^4+8x^2+2

Step-by-step explanation:

Since g comes after f then you will take g's equation and plug it into the f equation so it would turn out to be if you plugged it in

(x^2+2)^3-4(x^2+2)+2 which would equal x^6+6x^4+8x^2+2

The width of the garden is 18 feet. In this case, the length of the diagonal of the rectangular garden is the hypotenuse, and the length and width of the garden are the other two sides. Let's denote the width of the garden as "w".

Given:

Length of the garden = 24 feet

Diagonal of the garden = 30 feet

Using the Pythagorean theorem, we can set up the following equation:

\(24^2\) + \(w^2\) = \(30^2\)

Simplifying:

576 + \(w^2\) = 900

Subtracting 576 from both sides:

\(w^2\) = 900 - 576

\(w^2\) = 324

Taking the square root of both sides:

w = √324

w = 18

So, the width of the garden is 18 feet.

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we have:24² + w² = 30²Solve the equation:576 + w² = 900Subtract 576 from both sides:w² = 324 Take the square root of both sides:w = √324w = 18So, the width of the rectangular garden is 18 feet.

Using the Pythagorean theorem, we can find the width of the garden. If the length is 24 feet and the diagonal is 30 feet, then the width can be found by taking the square root of (30^2 - 24^2), which is approximately 18.97 feet.

Therefore, the garden is about 18.97 feet wide. We can use the Pythagorean theorem to find the width of the rectangular garden.

The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the diagonal across the garden is the hypotenuse, and the length and width of the garden are the other two sides.

The diagonal is 30 feet, and the length is 24 feet. We need to find the width (w).

The Pythagorean theorem formula is:a² + b² = c²Where 'a' and 'b' are the two shorter sides, and 'c' is the hypotenuse.

In this case, we have:24² + w² = 30²Solve the equation:576 + w² = 900Subtract 576 from both sides:w² = 324Take the square root of both sides:w = √324w = 18So, the width of the rectangular garden is 18 feet.

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Answer:

5.2

Step-by-step explanation:

add back 0.8 from 7 am temp which is 4.4 degrees.

Answer:

5.2 °C

Step-by-step explanation:

4.4°C + 0.8°C = 5.2°C

The value of the 24th term is 16.

where

a = first term

d = common difference

n = number of terms

Therefore,

6 = a + 3d

8 = a + 7d

let's find a and d

2 = 4d

d = 2 / 4

d = 1 / 2

6 = a + 3 / 2

a = 6 - 3 /2

a = 4.5

Therefore, the 24th term can be found as follows;

24th term = 4.5 + 23(0.5)

24th term = 4.5 + 11.5

24th term = 16

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Answer:

I don't understand what you are asking

Step-by-step explanation:

<3

Answer:

29

Step-by-step explanation:

conjugate of a+ib=a-ib

conjugate of 2-5i=2+5i

(2+5i)(2-5i)=2²-(5i)²=4-25i²=4-25(-1)=4+25=29

Answer:

29

i had the same question and 29 was the right answer

Answer:

The point A has the ordered pair of (-4, 2)

Step-by-step explanation:

In mathematics, an ordered pair is a pair of objects.

When finding a point you start with the x then the y.

(-4, 2)

-4 means to the left 4

and 2 means up 2.

When graphing an exponential function, a T-chart is commonly used to determine the values. The correct answer is option A.

The T-chart employs positive real numbers since this is the most typical form of exponential function.

Exponential functions are utilized to represent processes that increase or decrease exponentially, as well as to model phenomena in many different disciplines, including science, economics, and engineering.

The exponential function can be represented by the following equation:

\(y=a^x\), where a is the base, x is the exponent, and y is the outcome.

When a is a positive number greater than one, the function is called exponential growth, while when a is a fraction between 0 and 1, the function is called exponential decay.

The T-chart is used to determine the values to use in the graph and connect the dots as required. Positive real numbers are used as the values in the T-chart in order to effectively graph the exponential function.

Therefore, the correct answer is option A.

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A simple random sample of size n from a finite population of size n is a sample selected such that each possible sample of size the same probability of being selected.

As we know that,

A selection of participants from a population are chosen at random by the researcher using simple random sampling, a sort of probability sampling. Every person in the population has the same chance of being chosen.

So n has the same probability of being selected.

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The right question is

A simple random sample of size n from a finite population of size N is a sample selected such that each possible sample of size

n has a probability of 0.5 of being selected.

n has the same probability of being selected.

N and n have the same probability of being selected.

n has a probability of 0.05 of being selected.

Answer: -14C

Step-by-step explanation:

Temperature at 07:00
Temperature at 01:00 -3C
-3C - 11 Temperature at 01:00 = -3 - 11
Temperature at 01:00 = -14

Two of them have the same remaining. The proof using the pigeonhole principle is now complete.

When an integer is divided by 4, there are four potential remainders: 0, 1, 2, or 3. Take any set of five numbers as an example.

If at least three of them have the same remainder when divided by 4, then we are done, since two of them will have the same remainder. This is because if three integers have the same remainder, then we can subtract that remainder from all of them, and the resulting three integers will all be divisible by 4, which means that two of them will have the same remainder when divided by 4.

So suppose that at most two of the integers have the same remainder when divided by 4. Then there are at most two integers with remainder 0, at most two integers with remainder 1, at most two integers with remainder 2, and at most two integers with remainder 3. This means that there are at most 8 integers in total, which is a contradiction since we started with 5 integers. Therefore, there must be at least three integers with the same remainder when divided by 4, and hence there are two with the same remainder. This completes the proof by the pigeonhole principle.

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Answer:

b, 1 5/8

Step-by-step explanation:

the area is 4 15/32 square meters, and you find the area by doing length x width. the length is provided, 2 3/4. so all you have to do is divide 4 15/32 by 2 3/4 and you get 1 5/8

Answer:

B. 1 5/8 m

Step-by-step explanation:

Convert the mixed numbers to improper fractions by multiplying the whole number by the denominator and adding the numerator (4 *32)+15 = 143

Put this answer over the numerator (32)

(2*4)+3 =11

Put this over 4

Multiply 143/32 by the reciprocal of 11/4 which is 4/11

572/352

divide each number by 44 getting 13/8 which is 1 and 5/8

You're dividing because to get are you have to LW so to get width you would have to divide the area by the length

the wavelength of the electron is approximately 122 nm To find the wavelength of an electron, we can use the de Broglie wavelength formula:

wavelength (λ) = h / (m * v)

where:
- h is Planck's constant (6.63 x 10^-34 Js)
- m is the mass of the electron (9.11 x 10^-28 g, which needs to be converted to kg)
- v is the speed of the electron (5.97 mm/s, which needs to be converted to m/s)

Step 1: Convert the mass of the electron to kg:
9.11 x 10^-28 g * (1 kg / 1000 g) = 9.11 x 10^-31 kg

Step 2: Convert the speed of the electron to m/s:
5.97 mm/s * (1 m / 1000 mm) = 5.97 x 10^-3 m/s

Step 3: Plug the values into the de Broglie wavelength formula:
λ = (6.63 x 10^-34 Js) / (9.11 x 10^-31 kg * 5.97 x 10^-3 m/s)

Step 4: Calculate the wavelength:
λ = (6.63 x 10^-34 Js) / (5.44 x 10^-33 kg m/s) ≈ 1.22 x 10^-10 m

Step 5: Convert the wavelength to nm:
1.22 x 10^-10 m * (1 x 10^9 nm / 1 m) ≈ 122 nm

So, the wavelength is approximately 122 nm.

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Answer:

Given -

Now ,

\(volume = \pi \: r {}^{2} h \\ = > \frac{22}{\cancel{7}} \times 6 \times\cancel{ 14} \\ \\ = > 22 \times 6 \times 2 \\ = > 264 \: ft {}^{3} \)

hope helpful~

The concept of mathematical harmony was most directly incorporated in the Parthenon in the use of columns.

The term harmony has to do with tunes that are concordant and make meaning to the ears. The search for patterns and sequences is what introduced harmony to mathematics.

Hence, the concept of mathematical harmony was most directly incorporated in the Parthenon in the use of columns.

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Answer:

f(-1) = 1

Step-by-step explanation:

f(-1) just means you plug -1 into the equation:

-3x + 2x

-3(-1) + 2(-1)

3 - 2

1

Hopefully this helps!

Brainliest please?

A spanning tree of a graph is a subgraph that includes all the vertices of the original graph while forming a tree structure without any cycles.

The number of possible spanning trees in a complete undirected graph can be calculated using Cayley's formula, which states that a complete graph with n vertices can have maximum \(n^(^n^-^2^)\) spanning trees.

Now let's calculate the number of possible spanning trees when n=4:

Number of possible spanning trees \(=4^(^4^-^2^) = 4^2 = 16\)

Therefore, when n=4, there can be a maximum of 16 possible spanning trees in the complete undirected graph.

Now, let's present five possible spanning trees for n=4:

1. Tree 1:

  - Vertex 1 connected to vertices 2, 3, and 4.

  - Vertex 2 connected to vertices 1 and 3.

  - Vertex 3 connected to vertices 1, 2, and 4.

  - Vertex 4 connected to vertices 1 and 3.

2. Tree 2:

  - Vertex 1 connected to vertices 2 and 3.

  - Vertex 2 connected to vertices 1, 3, and 4.

  - Vertex 3 connected to vertices 1 and 2.

  - Vertex 4 connected to vertex 2.

3. Tree 3:

  - Vertex 1 connected to vertices 2 and 3.

  - Vertex 2 connected to vertices 1 and 4.

  - Vertex 3 connected to vertices 1 and 4.

  - Vertex 4 connected to vertices 2 and 3.

4. Tree 4:

  - Vertex 1 connected to vertices 2 and 3.

  - Vertex 2 connected to vertices 1 and 4.

  - Vertex 3 connected to vertices 1 and 4.

  - Vertex 4 connected to vertices 2 and 3.

5. Tree 5:

  - Vertex 1 connected to vertices 2, 3, and 4.

  - Vertex 2 connected to vertices 1 and 3.

  - Vertex 3 connected to vertices 1, 2, and 4.

  - Vertex 4 connected to vertices 1, 2, and 3.

These are just five possible examples of spanning trees in a complete graph with n=4 vertices.

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The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.

To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.

The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

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The true mean number of oocytes in the population of women aged 36-40 years lies.

Option a: The researchers expect that 90% of all similarly constructed intervals will contain the range of the number of oocytes that could be retrieved from the population of women aged 36-40 years.

This option is not correct because a confidence interval does not estimate the range of the values. It estimates the range within which the true population parameter (in this case, the mean number of oocytes) is likely to fall.

Option b: There is a 90% chance that the true mean number of oocytes that could be retrieved from the population of women aged 36-40 years is uniquely contained in the reported interval.

This option is not correct either. The interpretation of a confidence interval does not involve a probability statement about a specific interval containing the true mean. The true mean either falls within the interval or it doesn't; it's not a matter of chance.

Option c: The researchers expect that 90% of all similarly constructed intervals will contain the true mean number of oocytes that could be retrieved from the population of women aged 36-40 years.

This option is the correct interpretation. A confidence level of 90% means that if we were to repeat the study multiple times and construct 90% confidence intervals for each sample, approximately 90% of those intervals would contain the true mean number of oocytes in the population. It provides a measure of our confidence in the estimated range.

Option d: The researchers expect that the interval will contain 90% of the range of the number of oocytes retrieved in the sample of 98 women aged 36-40 years.

This option is incorrect. The confidence interval does not estimate the range of the values in the sample. It estimates the range within which the true mean of the population is likely to fall.

Option e: The researchers expect that 90% of all similarly constructed intervals will contain the mean number of oocytes retrieved in the sample of 98 women aged 36-40 years.

This option is also incorrect. The confidence interval provides an estimate of the range within which the true mean of the population is likely to fall, not specifically the mean of the sample.

To summarize, option c is the correct interpretation. The confidence interval gives us a range of values within which we can be reasonably confident that the true mean number of oocytes in the population of women aged 36-40 years lies.

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