Select all the expressions whose value is larger than 100. Group of answer choices 120% of 100, 50% of 150, 150% of 50, 20% of 800, 200% of 30, 500% of 400, 1% of 1,000

The domain of the relation in the graph is:

{-2, -1, 0, 2, 5}

A relation maps elements from one set (the domain) into elements from another set (the range).

Such that the domain is represented in the horizontal axis.

In the graph, we can see the points:

{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}

The domain is the set of the first values of these points, then the domain is:

{-2, -1, 0, 2, 5}

The correct option is the first one.

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I think the answer is, 56.

Answer:

Kiersten height is 6 feet

Length of her shadow is 9 feet

Length of the shadow of the tree is 84 feet

Therefore, the height of the tree is

\( \frac{6}{9} = \frac{x}{84} \\ x = \frac{6 \times 84}{9} \\ \boxed{x = 56}\)

Answer: 134.4933

Step-by-step explanation: 58.1987 minus 192.692 is 134.4933

The correct answer is: c. Gain of £800,000 to Statement of Profit or loss.

Since Maris uses the fair value model, the gain from the increase in the fair value of the building is recognized in the Statement of Profit or Loss. In this case, the building's fair value increased from £10 million to £10.8 million, resulting in a gain of £800,000. Therefore, the gain of £800,000 should be recognized in the Statement of Profit or Loss.According to the fair value model, any gain or loss resulting from the change in fair value of the asset should be recognized in the financial statements. In this case, the increase in the fair value of the building is considered a gain.

Since the gain of £800,000 (the difference between the fair value of £10.8 million and the original purchase price of £10 million) is a result of the change in the asset's fair value, it should be recognized in the Statement of Profit or Loss. This gain represents the increase in the value of the building during the year.

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The area of the domain enclosed by the curve with parametric equations x = tsin t, y = cost, t ∈ [0, 2π] is 2π + 2.

The parametric equations given are:

x = t sin t
y = cos t

To find the area of the domain enclosed by the curve, we can use the formula for the area of a region bounded by a curve given in parametric form:

A = ∫[a,b] y dx

where a and b are the limits of the parameter t that describe the domain of the curve.

In this case, we have:

a = 0
b = 2π

So, we need to compute:

A = ∫[0,2π] cos(t) (t sin(t)) dt

Using integration by parts with u = t and dv = sin(t) dt, we get:

A = [t cos(t)]|[0,2π] - ∫[0,2π] cos(t) dt + ∫[0,2π] sin(t) dt

The first integral evaluates to:

[t cos(t)]|[0,2π] = 2π

The second integral evaluates to:

∫[0,2π] cos(t) dt = [sin(t)]|[0,2π] = 0

The third integral evaluates to:

∫[0,2π] sin(t) dt = [-cos(t)]|[0,2π] = 2

Therefore, the area of the domain enclosed by the curve is:

A = 2π - 0 + 2 = 2π + 2

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The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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Answer:

y=10,-10

Step-by-step explanation:

you forgot to add the -10

Hope this helps

Answer:

B: 4/5

Step-by-step explanation:

Here, we simply go on to express the ratios of each of the options in its smallest form

2/3 is already in it’s smallest form

4/5 cannot be divided further

4/6 is same as 2/3

8/12 is same as 2/3

Answer:

57 °C.

Step-by-step explanation:

The formula that is used to convert temperature from Celsius (C) to Fahrenheit (F) is given by :

\(C=\dfrac{5}{9}(F-32)\) ...(1)

If T = 134° F, we need to convert the temperature in Celsius.

Put F = 134, in equation (1)

\(C=\dfrac{5}{9}(134-32)\\\\=\dfrac{5}{9}\times 102\\\\=56.66^{\circ} C\\\\\text{or}\\\\T=57^{\circ} C\)

So, the temperature on that day is 57 °C.

Answer:

147°

Step-by-step explanation:

Since Angle x is a right angle, it is 90°.

Angle w is the 90° and 57° angles put together.

Angle w

= 90° + 57°

= 147°

Answer:

45

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

G'day m8!

The rotated vector is (-2,0). To see why, imagine the original vector (0,2) plotted on the coordinate plane. To rotate it 270° clockwise about the origin, we can first rotate it 90° clockwise to get (2,0), then rotate that 180° clockwise to get (-2,0).

To understand this geometrically, think of the vector (0,2) as pointing straight up on the y-axis. Rotating it 90° clockwise means it now points to the right on the x-axis. Then, rotating it another 180° clockwise means it points straight down on the negative y-axis, which corresponds to the vector (-2,0).

In general, to rotate a vector (x,y) by an angle θ about the origin, we can use the following formulas: x' = x cos θ - y sin θ. y' = x sin θ + y cos θ In this case, θ = 270°, so cos θ = 0 and sin θ = -1.

Plugging in x=0, y=2, we get: x' = 0 - 2(-1) = 2 y' = 0(270) + 2(0) = 0. So the rotated vector is (2,0), which corresponds to (-2,0) because we rotated it clockwise instead of counterclockwise.

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To determine the number of hex digits required to represent decimal numbers up to 1,999, we need to find the largest decimal number within that range and convert it to hexadecimal representation.

The largest decimal number within the range is 1,999. To convert it to hexadecimal, we divide it by 16 repeatedly until the quotient is 0, and then concatenate the remainders in reverse order.

1,999 divided by 16 gives a quotient of 124 and a remainder of 15 (F in hexadecimal representation).

124 divided by 16 gives a quotient of 7 and a remainder of 12 (C in hexadecimal representation).

7 divided by 16 gives a quotient of 0 and a remainder of 7 (7 in hexadecimal representation).

Thus, 1,999 in hexadecimal representation is 7CF. It requires three hex digits (7, C, F) to represent 1,999.

To calculate the number of bits required, we need to know the number of bits in one hex digit. Since each hex digit represents 4 bits, three hex digits would represent 3 * 4 = 12 bits.

Therefore, to represent decimal numbers up to 1,999, three hex digits are required, and it would take 12 bits.

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The function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.

The pseudo code for matrix multiplication may look something like this:

```

MatrixMultiplication(A, B):

   n = size of matrix A

   C = empty matrix of size n x n

   for i = 1 to n do:

       for j = 1 to n do:

           sum = 0

           for k = 1 to n do:

               sum = sum + A[i][k] * B[k][j]

           C[i][j] = sum

   return C

```

Let's break down the number of operations step by step:

1. Assigning the size of matrix A to variable n: 1 operation

2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)

3. Outer loop: for i = 1 to n

- Incrementing i: n operations  

- Inner loop: for j = 1 to n

- Incrementing j: n^2 operations (since it is nested inside the outer loop)

- Initializing sum to 0: n^2 operations

- Innermost loop: for k = 1 to n

- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)

- Performing the multiplication and addition: n^3 operations

- Assigning the result to C[i][j]: n^2 operations

- Assigning the value of sum to C[i][j]: n^2 operations

Total operations:

1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1

Therefore, the function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1

To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.

In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

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Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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The ratio of the volume of the cylindrical tank to its surface area (including the bases) is r/6.

To find the ratio of the volume of the cylindrical tank to its surface area (including the bases), we need to express both the volume and surface area in terms of the radius r.

For the cylindrical tank:

Volume of the cylindrical tank:

The volume of a cylinder is given by the formula \(V = \pi r^2h\), where r is the radius and h is the height. In this case, the height of the cylindrical tank is equal to the radius, so h = r. Therefore, the volume \(V_c_y_l_i_n_d_e_r\)  is:

\(V_c_y_l_i_n_d_e_r = \pi r^2 * r = \pi r^3\).

Surface area of the cylindrical tank:

The surface area of a cylinder includes the area of the curved side and the areas of the two bases. The formula for the surface area of a cylinder is\(A = 2\pi rh + 2\pi r^2\). Again, since h = r in this case, we can simplify it to:

\(A_c_y_l_i_n_d_e_r = 4\pi r^2 + 2\pi r^2 = 6\pi r^2\).

Now, we can write the expression for the ratio of the volume of the cylindrical tank to its surface area:

\(Ratio =\frac{V_c_y_l_i_n_d_e_r }{A_c_y_l_i_n_d_e_r} = \frac{(\pi r^3) }{(6\pi r^2)}\).

Simplifying this expression, we can cancel out π and \(r^2\):

\(Ratio = (r^3) / (6r^2) =\frac{r}{6}\).

Therefore, the ratio of the volume of the cylindrical tank to its surface area (including the bases) is r/6.

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Answer:

for ponits

Step-by-step explanation:

There are total three pairs

Look at the co-ordinates

The x co-ordinates increase with respect to y co-ordinates

Answer:

(-6,-3)->(3,7)

(-5,-5)->(5,9)

(-3,-3)->(6,7)

Step-by-step explanation:

The optimal solution of the objective function is cost = 5x + 7y.

To solve this problem, we need to determine the optimal amounts of material to be taken from each pit in order to minimize the overall cost while meeting the minimum sand content requirement. Let's break down the problem step by step:

Step 1: Define the decision variables:

Let's define:

x = amount of material (in cubic meters) taken from Bloomingdale Pit

y = amount of material (in cubic meters) taken from Valley Springs Pit

Step 2: Write the constraints in mathematical form:

We have two constraints to consider:

Total volume constraint:

x + y = 100,000 (the total volume of mixed material needed for the project)

Minimum sand content constraint:

The mix should contain a minimum of 30% sand. We can express this constraint as follows:

(0.25x + 0.50y) / (x + y) ≥ 0.30

Step 3: Write the objective function in mathematical form:

The objective is to minimize the overall cost of material. We can express the cost as follows:

Cost = 5x + 7y

Step 4: Find the optimum solution using the graphical method:

To find the optimum solution, we need to plot the feasible region defined by the constraints and identify the point that minimizes the objective function within that region.

First, let's rearrange the minimum sand content constraint:

0.25x + 0.50y ≥ 0.30(x + y)

0.25x + 0.50y ≥ 0.30x + 0.30y

0.20x - 0.20y ≥ 0

Now, we can plot the feasible region using the given constraints. The region will be bounded by the lines x + y = 100,000 and 0.20x - 0.20y ≥ 0. However, since the region is defined in terms of the total volume, we can simplify the plot by considering only the positive quadrant (x ≥ 0, y ≥ 0).

By substituting x = 0 and y = 100,000 into the minimum sand content constraint, we can check if the constraint is satisfied:

(0.25 * 0 + 0.50 * 100,000) / (0 + 100,000) ≥ 0.30

50,000 / 100,000 ≥ 0.30

0.50 ≥ 0.30

Since the constraint is satisfied at this point, we know the feasible region lies above or on the line x = 0, y = 100,000.

Now, by substituting x = 100,000 and y = 0 into the minimum sand content constraint, we can check if the constraint is satisfied:

(0.25 * 100,000 + 0.50 * 0) / (100,000 + 0) ≥ 0.30

25,000 / 100,000 ≥ 0.30

0.25 ≥ 0.30

Since the constraint is not satisfied at this point, we know the feasible region lies below the line x = 100,000, y = 0.

Finally, we can plot these two lines and shade the feasible region between them. The point that minimizes the objective function within this region will be the optimal solution.

Step 5: Calculate the savings:

If the contractor had used 60,000 m3 from Bloomingdale and 40,000 m3 from Valley Springs, we can calculate the cost for that scenario and compare it with the cost of the optimal solution.

Cost with the contractor's plan:

Cost = 5(60,000) + 7(40,000)

Cost with the optimal solution (as determined in Step 4):

Calculate the values of x and y from the optimal solution and substitute them into the objective function Cost = 5x + 7y.

The savings can be calculated as:

Savings = Cost with the contractor's plan - Cost with the optimal solution

By comparing the costs, you can determine the amount saved by giving the expert advice.

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Answer:

\( \sin( \alpha ) = \frac{16}{ \sqrt{281} } \)

Step-by-step explanation:

Greetings!!!

Firstly, remember the sin trigonometric equation

\( \sin( \alpha ) = \frac{opposite}{hypotenuse} \)

Assuming the image as this question and solve

If you have any questions or unclear ideas tag on comments

Hope it helps!!!

The value of the indicated trigonometric ratio sin( α ) is (16√281 )/281.

The figure in the image is a right triangle.

To find sin(α), we use trigonometric ratio.

Sine = Opposite / Hypotenuse

Plug in the values

sin( α ) = 16/√281

To simplify further, we rationalize the denominator

Multiply both the numerator and denominator by √281

sin( α ) = (16 × √281 ) /(√281 × √281 )

sin( α ) = (16 × √281 ) / 281

sin( α ) = (16√281 )/281

Therefore, the value of sin( α ) is (16√281 )/281.

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Answer:

268.13

Step-by-step explanation:

To find the sales tax, multiply the decimal value of the sales tax times the original price.  The sales tax at 7.25% is the same as the decimal 0.0725.

sales tax = 250 x 0.0725 = 18.125

round that amount to the nearest penny so it is 18.13

The total price you would pay is the original price plus the sales tax

250 + 18.13 = 268.13

Answer:

it increased by 33.3%

after one year he will owe the bank 82,000.00

The answer double will be of 8 is 16, by multiplication.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

The fundamental concept of repeatedly adding the same number is embodied in the process of multiplication. The outcome of multiplying two or more numbers is known as the product of those numbers, and the factors that are multiplied are referred to as the factors. The process of repeatedly adding the same number is made easier by multiplication.

So the double of 8 means adding 2 two times. Or multiplying 8 with 2

8*2 = 16

Hence, double will be of 8 is 16

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Answer:

brainliest pls

Step-by-step explanation:

liner function ax+c3=m4

ok the table is

4     8

6     4

9     12

0      4

positive, because the only numbers are positive due to the distributive property

solution represents the liner funcion

There are 45 ways to group combinations the fruits into pairs, 120 ways to group them into sets of 3, and 252 ways to group them into sets of 5

To determine the number of ways to group 10 different fruits into groups of 2, 3, and 5, we can use the concept of combinations.

Number of ways to group the fruits into 2:

Since we have 10 fruits, we need to choose 2 fruits from the set of 10. The number of ways to do this is given by the combination formula:

C(n, r) = n! / (r!(n-r)!)

where n is the total number of items and r is the number of items to be chosen.

For our case, n = 10 and r = 2:

C(10, 2) = 10! / (2!(10-2)!)

= 10! / (2!8!)

= (10 × 9) / (2 × 1)

= 45

So, there are 45 ways to group the 10 fruits into pairs.

Number of ways to group the fruits into 3:

Similarly, to group the fruits into sets of 3, we use the combination formula with n = 10 and r = 3:

C(10, 3) = 10! / (3!(10-3)!)

= 10! / (3!7!)

= (10 × 9 × 8) / (3 × 2 × 1)

= 120

There are 120 ways to group the fruits into sets of 3.

Number of ways to group the fruits into 5:

Using the same approach, with n = 10 and r = 5:

C(10, 5) = 10! / (5!(10-5)!)

= 10! / (5!5!)

= 252

There are 252 ways to group the fruits into sets of 5.

Therefore, there are 45 ways to group the fruits into pairs, 120 ways to group them into sets of 3, and 252 ways to group them into sets of 5.

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Answer: A. (1,4) and (3,12)

Explanation: These ordered pair are the only ones which fit into the given equations when substituted.

(1,4)
4 = 4(1)

4 = 4

4 = 1^2+3

4 = 4

(3,12)

12 = 4(3)

12 = 12

12 = 3^2+3

12 = 12

Answer:

A. (1, 3) and (3, 12).

Step-by-step explanation:

y = 4x

y = x² +3

As y is common on left side:

x^2 + 3 = 4x

x^2 - 4x + 3 = 0

(x - 1)(x - 3) = 0

x  = 1, 3.

When x = 1, y = 4*1 = 4

and when x = 3 , y = 12.

Answer:

C

Step-by-step explanation:

14x4=56 and 26x2=52 so with process of elimination you get C

Answer:

M = 21.n =19

That should do