Which of the following are solutions to the equation tan2x - 1 = 0? Check all that apply. - A. 30 4 WEB 과 С. kle D.

Answer:8

Step-by-step explanation:because let's put in x first before anything so thats 2 times 2 thats 4 then you can do 4+4 to equal 8

so the answer is 8=y

hope this helps :}

The eigenvalues of matrix A are λ1 = 2 and λ2 = 4, and bases for the corresponding eigenspaces are {[1, 1]} and {[1, -1]}, respectively.

To find the eigenvalues of matrix A, we first need to solve for the characteristic equation:

det(A - λI) = 0

where I is the identity matrix.

So, we have:

det( [3-λ 1; -1 3-λ] ) = 0

Expanding this determinant, we get:

(3-λ)(3-λ) - (-1)(1) = 0

Simplifying and factoring, we get:

(λ - 2)(λ - 4) = 0

So, the eigenvalues of matrix A are λ1 = 2 and λ2 = 4.

Next, we need to find the eigenvectors corresponding to each eigenvalue.

For λ1 = 2, we solve the system of linear equations:

(A - 2I)x = 0

where I is the 2x2 identity matrix.

So, we have:

[1 1; -1 1]x = 0

Simplifying, we get:

x1 + x2 = 0

-x1 + x2 = 0

Solving this system, we get:

x1 = x2

So, any vector of the form [a, a] is an eigenvector corresponding to λ1 = 2. A basis for the eigenspace corresponding to λ1 is {[1, 1]}.

For λ2 = 4, we solve the system of linear equations:

(A - 4I)x = 0

where I is the 2x2 identity matrix.

So, we have:

[-1 1; -1 -1]x = 0

Simplifying, we get:

-x1 + x2 = 0

-x1 - x2 = 0

Solving this system, we get:

x1 = -x2

So, any vector of the form [a, -a] is an eigenvector corresponding to λ2 = 4. A basis for the eigenspace corresponding to λ2 is {[1, -1]}.

Therefore, the eigenvalues of matrix A are λ1 = 2 and λ2 = 4, and bases for the corresponding eigenspaces are {[1, 1]} and {[1, -1]}, respectively.

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It must be pointed out that to derive a scientifically-defensible conclusion, we would need more replicated (Study plots) studied over a longer time period.

The average population of two competing weeds over a square meter of ground in a Georgia field.

If we take the five years of rainfall given in the table as representative of the rainfall variability of the study area, then we can say that dry years are years with rainfall of 100 cm/year of less, whereas wet years are greater than 100cm/year.

We see from the table, that during the dry years, the chicory seems to be outcompeting the chicory.

So, given this limited information, we can predict that the chicory would dominate. However, it must be pointed out that to derive a scientifically-defensible conclusion, we would need more replicated (Study plots) studied over a longer time period.

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The table shows the average population of two competing weeds over a square meter of ground in a georgia field. The table also gives the average rainfall for five successive years. If there was an extended drought in this area, what would be a reasonable prediction?.

Table attached at the end.

Answer:

Tally marks are used for counting and are represented as a set of five lines in which there are four vertical lines (one vertical line is made for each of the first four numbers) and the fifth number is represented by a diagonal line across the previous four numbers.

They are a form of numeral used for counting. 

The profit for winning should be $23/13 to make this game fair.

The formula used, Expected Value = Sum of (Value * Probability)Profit of winning to make the game fair

The expected value of the game is equal to zero, to make the game fair.

The probability of winning in a dice game is the number of outcomes that result in the win over the total number of possible outcomes.

The total number of outcomes in rolling two dice is 6 × 6 = 36.

The number of outcomes that result in a win is found by using the following table.

The sums greater than or equal to 10 are colored green, and the remaining sums are colored red.

Using the table, we can see that the number of outcomes that result in a win is 13.

The probability of winning is 13/36.

The probability of losing is 1 − 13/36 = 23/36.

Let p be the profit from winning the game.

If you win, you receive p dollars.

If you lose, you pay $1.

The expected value of the game is:

p(13/36) − 1(23/36) = 0p(13/36)

= 23/36p = (23/36) / (13/36)p

= 23/13

So, the profit for winning should be $23/13 to make this game fair.

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Answer:

4 bottles of Water

Step-by-step explanation:

First, we need to find how much each water costs. So, I created this equation below.

9/12=?

The answer to the equation is .75, or 75 cents.

So, we can now make yet another equation to find the amount to buy with 3 dollars.

3/.75=?

The answer to that equation is 4.

Thus, the answer is 4 bottles of water.

Using sampling concepts, the population being studied is all visitors that are flying to the state of Hawaii.

The problem is incomplete, but researching it on a search engine, it asks for us to identify who is the population of this study.

In this problem, a set of visitors traveling to Hawaii were sampled, hence the population being studied is all visitors that are flying to the state of Hawaii.

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The ratio test can be used to determine whether the series ∑(n=1 to ∞) (2^n)! converges or diverges.

The ratio test states that if the limit of the absolute value of the ratio of consecutive terms in a series is less than 1, then the series converges. On the other hand, if the limit is greater than 1 or does not exist, the series diverges.

To apply the ratio test to the series ∑(n=1 to ∞) (2^n)!, we need to find the ratio of successive terms. Let's consider the n-th term and the (n+1)-th term: a_n = (2^n)!, and a_(n+1) = (2^(n+1))!.

The ratio of successive terms is given by a_(n+1)/a_n = (2^(n+1))!/(2^n)!.

Simplifying the expression, we have (2^(n+1))!/(2^n)! = (2^(n+1))(2^n)(2^n-1)...(2)(1)/(2^n)(2^n-1)...(2)(1).

Most of the terms in the numerator and denominator cancel out, leaving (2^(n+1))/(2^n) = 2.

Taking the absolute value of this ratio, we have |2| = 2.

Since the absolute value of the ratio is a constant (2), which is greater than 1, the limit of the ratio as n approaches infinity does not exist. Therefore, by the ratio test, the series ∑(n=1 to ∞) (2^n)! diverges.

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Answer:

Step-by-step explanation:

The formula for this, specific to our circle, is

∠RQP = \(\frac{1}{2}\)(arc SP - arc RP) and filling in:

∠RQP = \(\frac{1}{2}(170-86)\) and

∠RQP = \(\frac{1}{2}(84)\) so

∠RQP = 42°

25 square feet would mr. potato head be able to walk inside the box.

Given,

          length and breadth of sandbox is 5 ft.

         Now, We apply formula of area of square.

                            5 × 5 = 25 ft²

  Therefore, 25 ft² would mr. potato head be able to walk inside the box.

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Answer:

Step-by-step explanation:

Use circumference formula to find one rotation:

Full travel of 12 rotations:

Use circumference formula to find one rotation:

C = 2πr = πd

C = 3.14*3= 9.42 feet

Full travel of 12 rotations:

12*9.42 = 113.04 feet Ans.

Answer:

4 pizzas

Step-by-step explanation:

Equation:

12x + 7 = 55

12x = 55 - 7

12x = 48

x = 4

Answer:

Solution,

2(4x+3)=10x-2

or,8x+6=10x-2

or,8x-10x=-2-6

or,-2x=-8

or,X=-8/-2

X=4

Hope it helps

Good luck on your assignment

Answer:

x = 4

Step-by-step explanation:

First you want to distribute the terms:

2(4x+3) = 10x-2

8x+6 = 10x-2

then combine like terms:

8x+6 = 10x-2

-8x         -8x

6 = 2x-2

+2      +2

8 = 2x

x = 4

It is true that after 4040 calls (which is twice the number of edges), all pirates will know the location of the ONE PIECE.

We can model this problem using graph theory.

Let each pirate be represented by a vertex in a graph, and draw an edge between two vertices if the corresponding pirates have spoken to each other on the Den Den Mushi.

Since Gol D. Roger has divided the map into 2022 pieces and given each piece to a different pirate, each pirate has a unique piece of information that is needed to locate the ONE PIECE.

Therefore, no two pirates have the same piece of information, and each pirate must communicate with other pirates in order to obtain all the necessary information.

To show that there is a way for all pirates to know the location of the ONE PIECE after 4040 calls.

This means that each pirate must have communicated with at least one other pirate who has a different piece of information, and we can assume that each pirate can only communicate once.

Let N be the number of pirates, which is 2022 in this case.

Since each pirate can only communicate once, the maximum number of edges in the graph is N-1, which is 2021 in this case.

This is true because we can construct a spanning tree of the graph with N-1 edges, which connects all vertices without creating any cycles.

Once we have the spanning tree, we can add additional edges to the graph to create cycles. Since each cycle requires at least 2 additional edges, we can add at most (N-1)/2 cycles without exceeding the maximum number of edges.

We can construct a graph with 2021 edges and at most (2021-1)/2 = 1010 cycles.

Each cycle can be used to connect two pirates who have not communicated before, so we can use at most 1010 cycles to ensure that all pirates have communicated with at least one other pirate who has a different piece of information.

Therefore, after 4040 calls (which is twice the number of edges), all pirates will know the location of the ONE PIECE.

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Answer:

6a^2 + ab - 2b^2

Step-by-step explanation:

[insert something smart]

Answer:

6

Step-by-step explanation:

Finding the mean: adding numbers and dividing by amount of numbers.

8 + 4 = 12

12/2 = 6

It is 4

:)

hope you are safe

Step-by-step explanation:

The Laplace transform F(s) for the given function f(t) is F(s) = 2s / ((s - 5)(s^2 + 100)s)

To find F(s), the Laplace transform of f(t), we can use the properties of the Laplace transform. Here, f(t) = ae^bt cos(mt) u(t), where a = 2, b = 5, and m = 10.

Using the properties of the Laplace transform, we have:

F(s) = L{f(t)} = L{ae^bt cos(mt) u(t)}

To find F(s), we can apply the Laplace transform to each term individually. The Laplace transform of e^bt is given by:

L{e^bt} = 1 / (s - b)

The Laplace transform of cos(mt) is given by:

L{cos(mt)} = s / (s^2 + m^2)

Finally, the Laplace transform of u(t) is:

L{u(t)} = 1 / s

Now, we can substitute these values into the expression for F(s):

F(s) = (2 / (s - 5)) * (s / (s^2 + 10^2)) * (1 / s)

Simplifying, we have:

F(s) = 2s / ((s - 5)(s^2 + 100)s)

This is the Laplace transform F(s) for the given function f(t).

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The correct answer is A. T = 0.25k + 0.97t

Explanation:

For an equation to be correct it needs to include all important values and use the appropriate mathematical symbols to show how the values relate. In the case presented, it is known the total bill (T) is the result of both the electricity (k) and gas (t) consumed. According to this, the two values need to be added to find the total (T). This means T = k + t.

Besides this, it is specified a kilowatt or unit of electricity costs $0.25, this means the correct expression for finding the total paid for electricity is 0.25k as the number of kilowatts consumed need to be multiplied by the cost of a kilowatt. Similarly, the cost of the gas requires multiplying the number of therms by the cost of one therm, which is $097. According to this, the correct equation is T = 0.25k + 0.97t

Answer:

11, 3

Step-by-step explanation:

11x3 equals 33

3x11 equals 33

Answer:

Factors of 33

Factors of 33: 1, 3, 11, and 33.

Prime Factorization of 33: 33 = 3 × 11.

Step-by-step explanation:

To find k, divide both sides by 8:

k = 40/8

k = 5

Answer:

k=5

Step-by-step explanation:

8k=40

k=40÷8

k=5

therefore k is equal to 5

Answer:

The answer is -8

When the radius of the snowball is 4 and shrinks at a rate of 2 inches per hour then the rate of change of the surface area s is equal to 64π in²/hr

As the radius r is shrinking at the rate of two inches per hour, it can be represented as;

dr/dt = -2 in / hr

Here, the negative sign represents the shrinking of the snowball with time t.

The surface area of a sphere can be represented by the formula;

S = 4πr²

Now we differentiate S with respect to t by keeping radius (r) as a variable as follows;

dS/dt = d/dt (4πr²)

dS/dt = 4π (d/dt) (r²)

dS/dt = 4π × 2r (dr/dt)

Putting the value of r = 4 and calculated value of dr/dt = -2 in the equation as follows;

dS/dt = 4π × 2(4)(-2)

dS/dt = -64π

Therefore, the rate of change of surface area s is calculated to be 64π in²/hr.

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Answer:

The midpoint would be (-3, 1)

Step-by-step explanation:

since the formula for midpoint is \((\frac{x^{1} +x^{2} }{2}, \frac{y^{1} +y^{2} }{2} )\), you would just have to plug in the coordinates given on the graph. I think your points are (-1, 4) and (-5, -2).

\((\frac{-1 -5}{2}, \frac{4-2}{2} )\)

\((\frac{-6}{2}, \frac{2}{2} )\)

If you simplify, then you should get (-3, 1)!

Answer:D

Step-by-step explanation:got it right on my test

Answer:

The answer is C i got a 100 on the test

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the only answer choice with a variable in it, that is what an algebraic expression is

Answer:

C. 3 – a

Step-by-step explanation:

This question is incomplete

Complete Question

A baker uses 5.5 Ibs of flour daily

The baker's recipe for a loaf of bread calls for 12 oz of flour. If he uses all of his flour to make loaves of bread, how many loaves can he bake in seven days?

Answer:

51.3 loaves of bread

Step-by-step explanation:

Converting 5.5 Ibs to oz (ounces)

1 Ibs =>12 oz

5.5 Ibs => x

Cross Multiply

12 × 5.5 => 88 oz

1 loaf of bread =>12 oz

Hence, in 1 day

12 oz =>1 loaf of bread

88 oz => x

x =>88 oz/ 12 oz

x => 7.3333333333 loaves of bread

Hence, he can make 7.3333333333 loaves of bread in 1 day

Hence, in 7 days

1 day => 7.3333333333 loaves

7 days => x

x => 7 × 7.3333333333 loaves

x => 51.333333333 loaves of bread

Approximately => 51.3 loaves of bread

The piecewise function for the graph is given as \(g(x)=\left \{ {{(1/3)x+3\ \ for\ (-\infty,-3)} \atop {6\ \ \ for\ \ (1,\infty)}} \right.\)

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

For (-∞, -3), the line passes through (-9, 0) and (-3, 2), hence:

y - 0 = [(2 - 0)/(-3 - (-9))](x - (-9))

y = (1/3)x + 3

For (1, ∞), y = 6

The piece wise function for the graph is given as      \(g(x)=\left \{ {{(1/3)x+3\ \ for\ (-\infty,-3)} \atop {6\ \ \ for\ \ (1,\infty)}} \right.\)

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Answer:

h(x) = 12x – 6

Step-by-step explanation:

To know which is the function that represents the area of a triangle, you take into account the degree of the given polynomials.

If the degree is 2, the graph of the function is a parabola.

If the degree is 1, the graph of the function is a line.

By comparing all functions you can conclude that only the last option (h(x)=12-x-6) is convenient to construct a triangle. The y-intersect of the function is at y=-6, the slope is positive and the x-intersect is x=1/2. This forms a triangle in the fourth quadrant of the coordinate system.

Answer:

B. g(x) = 12x2 – 6x

Step-by-step explanation:

correct on edge 2020