Q[1]: Diagnolize the following matrices if possible a. [; 1] . b. 4 4 2 2 2 4 2 2 2 4

Answer:

Option C.

Step-by-step explanation:

Let as consider f(x) is a function.

If \(f(-x)=f(x)\), then f(x) is even function.

If \(f(-x)=-f(x)\), then f(x) is odd function.

It means, if (x,y) is a point of the function, then (-x,-y)is also a point of the function.

In option A, (-5,3) is a point of the function, but (5,-3) is not a point of the function.

So, function in option A is not an odd function.

In option B, (-4,2) is a point of the function, but (4,-2) is not a point of the function.

So, function in option B is not an odd function.

In option C,

If (-4,0) is a point of function, then (4,0) is also the point of the function.

Similarly, (-3,1) and (3,-1), (-2,-3) and (2,3), (-1,-2) and (1,2) are points of the function.

So, function in option C is an odd function.

In option D, (-4,3) is a point of the function, but (4,-3) is not a point of the function.

So, function in option D is not an odd function.

Answer:

C

Step-by-step explanation:

on EDGE 2023

Answer:

$37.5

Step-by-step explanation:

25% = 1/4

50/4 = 12.5

50 - 12.5 = 37.5

hope this helped (:

Answer:

37.5

Step-by-step explanation:

Convert the 25% to a decimal (0.25) and multiply by 50

Which is 12.5

Subtract 50 by 12.5

Answer is $37.5

You could also multiply 50 * .75

The required, rate of change of function B is greater than the rate of change of Function A.

Rate of change is defined as the change in value with rest to another entity is called rate of change.

Here,
For function 1 rate of change is given by the slope of the function,

m = (y₂ - y₁) / (x₂ - x₁)
m = 2 - 1 / 4 - 0
m = 1/4

m = 0.25

For function B, y = 0.75x - 2 rate of change has defined the slope of the function from the equation slope is m = 0.75.

So Slope of function B > Slope of function A

Thus, the rate of change of function B is greater than the rate of change of Function A.

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Answer:

2,0

Step-by-step explanation:

chhxhxxhhxh

Answer:

each pound of chocolate is 75 cents

Step-by-step explanation:

75+75+75=225

The equation of an ellipse with x-intercepts at (4, 0) and (-4, 0), y-intercepts at (0, 9) and (0, -9), and center at (0, 0) is \($\frac{x^2}{16}+\frac{y^2}{81}=1$$\).

As per the given data the ellipse with x-intercepts at (4, 0) and (-4, 0), y-intercepts at (0, 9) and (0, -9), and center at (0, 0).

If the ellipse has its x-intercepts at points (4, 0) and (-4, 0) and y-intercepts at points (0, 9) and (0, -9), then it's symmetric across the y- axis and the x-axis.

The equation of an ellipse where the major axis 2a is greater than the minor 2b.

When 2b > 2a , then the equation becomes \($\frac{(y-h)^{2} }{b^{2} } + \frac{ (x-k)^{2} }{a^{2} } =1\)

Moreover h = 0 and k = 0 because the center is on the origin, so the equation becomes:

\($\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\)

Moreover,

a = 4

b = 9

The equation of the such ellipse is

\($\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\)

Hence, the equation of the ellipse is

\($\frac{x^2}{4^2}+\frac{y^2}{9^2}=1\)

\($\frac{x^2}{16}+\frac{y^2}{81}=1$$\)

Therefore the equation of an ellipse is  \($\frac{x^2}{16}+\frac{y^2}{81}=1$$\).

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Find the equation of the ellipse with the following properties. The ellipse with x-intercepts at (4, 0) and (-4, 0), y-intercepts at (0, 9) and (0, -9), and center at (0, 0).

Answer:

Step-by-step explanation:

See image

The integral of periodic function is -(1/2)cos^(-2)(t) + C or -(1/2)(sec^2(t)) + C.

The integral of the periodic function sin(t)/cos^3(t) dt can be found as follows,

Performing substitution with the function u = cos(t). This means that du = -sin(t) dt.

Rewriting the integral in terms of u. The integral becomes -∫(1/u^3) du.

Integrating with respect to u. The result is -∫u^(-3) du = -(1/2)u^(-2) + C, where C is the constant of integration.

Replacing u with the original function, cos(t).

The final answer is -(1/2)cos^(-2)(t) + C or -(1/2)(sec^2(t)) + C.

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Answer:

D as in dog

Step-by-step explanation:

Answer:

Step-by-step explanation:

200/250 =0.8

25.5x0.8 =20.4

answer=20.4

Answer:

4/5

Step-by-step explanation:

hope it helped :)

The condition for the first dark fringe through a single slit of width w is when the path difference between the light waves at the edges of the slit equals a half wavelength= (λ/2).

This can be expressed mathematically as:
w * sin(θ) = (m + 1/2) * λ, where m = 0 for the first dark fringe, w is the slit width, θ is the angle of the dark fringe from the central maximum, and λ is the wavelength of light.
When light passes through a single slit, it diffracts and creates an interference pattern with alternating bright and dark fringes on a screen. The dark fringes occur when light waves from the edges of the slit interfere destructively, which means their path difference must be an odd multiple of half a wavelength (λ/2).
For the first dark fringe, we set m = 0 in the equation:
w * sin(θ) = (0 + 1/2) * λ
So, the condition for the first dark fringe is:
w * sin(θ) = λ/2

Hence, The condition for the first dark fringe through a single slit of width w is when the path difference between the light waves at the edges of the slit equals a half wavelength (λ/2). This can be represented by the equation w * sin(θ) = λ/2.

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Answer:

the ratio is baseballs 5:6 basketballs

Answer:

5>5x+7

Step-by-step explanation:

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There are 70 different committees possible combinations from the 8 students in the class, where no member has any specific responsibilities.

To find the number of different committees possible, we will use the concept of combinations. In this case, we have 8 students and need to choose 4 of them to form a committee. A combination is a selection of items from a larger set, such that the order of the items does not matter.

Step 1: Identify the number of items in the set (n) and the number of items to be chosen (r). Here, n = 8 and r = 4.

Step 2: Use the formula for combinations, which is C(n, r) = n! / (r!(n-r)!), where C(n, r) represents the number of combinations, n! denotes the factorial of n, and r! denotes the factorial of r.

Step 3: Calculate the factorials involved in the formula. Factorial of a number is the product of all positive integers less than or equal to that number.
- 8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40,320
- 4! = 4 × 3 × 2 × 1 = 24
- (8-4)! = 4! = 24

Step 4: Substitute the values into the formula and calculate the number of combinations.
C(8, 4) = 40,320 / (24 × 24) = 40,320 / 576 = 70

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To forecast using data that has seasonality, one commonly used method is seasonal decomposition of time series (STL). This method separates the time series data into three components: trend, seasonality, and residuals. By isolating the seasonal component, you can forecast future values by extrapolating the pattern observed in previous seasons.

Another approach is the use of seasonal autoregressive integrated moving average (SARIMA) models. SARIMA models are an extension of ARIMA models that incorporate seasonal patterns. These models capture both the trend and seasonality in the data and can be used to make forecasts.

To control volatility in various time series models, a common technique is to use a volatility model, such as the generalized autoregressive conditional heteroskedasticity (GARCH) model. This model estimates the volatility of the time series by incorporating past volatility and squared residuals. By modeling and forecasting the volatility, you can better understand and manage the potential fluctuations in the time series data.

A simple moving average method is a technique used to smooth out fluctuations and identify trends in time series data. It involves calculating the average of a fixed number of data points, often referred to as the window size or period. As new data becomes available, the oldest data point in the window is dropped, and the newest data point is included in the calculation. This process is repeated for each subsequent data point. The resulting moving average values can provide insights into the overall trend of the data, helping to identify patterns or changes over time.

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Answer:

Arithmetic

Step-by-step explanation:

Answer:

.....................

Answer: 8

Step-by-step explanation:

Answer:

21 \(\frac{3}{5}\)in/hr

Step-by-step explanation:

Distance of snow fall  = 3ft

Time taken  = 1\(\frac{2}{3}\)hrs

Unknown:

Rate of snowfall = ?

Solution:

The rate of the snowfall is the same as the speed of the fall;

  Rate of snowfall  = \(\frac{distance of snowfall}{time}\)

Convert the ft to inches;

             1ft  = 12inches

             3ft  = 3 x 12  = 36inches

Input the parameters and solve;

           Rate of snowfall  = \(\frac{36}{\frac{5}{3} }\)   = 36 x \(\frac{3}{5}\) = 21 \(\frac{3}{5}\)in/hr

Answer:

(2 - 3i)(4+2i)

(2 x 4)(2 x 2i) (-3i x 4) (-3i x 2i)

8 x 4i x -12i -6i^2

6i^2 - 12i x 32

Step-by-step explanation:

Answer:

6i² - 8i + 8

Step-by-step explanation:

1. Expand Brackets: 8 + 4i - 12i - 6i²

2. Simplify equation: 8 - 8i - 6i²

3. Rearrange: 6i² - 8i + 8

The surface area of that part of the plane 10x+7y+z=4 that lies inside the elliptic cylinder \(\frac{x^2}{25} +\frac{y^2}{9}\) is 15π√150 and this can be determined by using the given data.

We are given the two equations are:

10x + 7y + z = 4---------(1)

\(\frac{x^2}{25} +\frac{y^2}{9} =1-------------(2)\)

equation(1) is written as

z = 4 - 10x - 7y-----------(3)

The surface area is given by the equation:

A(S) = ∫∫√[(∂f/∂x)² + (∂f/∂y)² + 1]dA------------(4)

compare equation(4) with equation(3) we get the values of ∂f/∂x and

∂f/∂y

∂f/∂x = -10

∂f/∂y = -7

substitute these values in equation(4)

A(S) = ∫∫√[(-10)² + (-7)² + 1]dA

A(S) = ∫∫√[100 + 49 + 1]dA

A(S) = ∫∫√[150]dA

A(S) = √150 ∫∫dA

Where ∫∫dA is the elliptical cylinder

From the general form of an area enclosed by an ellipse with the formula;

comparing x²/a² + y²/b² = 1  with x²/25 + y²/9 = 1, from that we get the values of a and b

a = 5 and b = 3

So, the area of the elliptical cylinder = πab

Thus;

A(S) = √150 × π(5 × 3)

A(S) = 15π√150

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The side of the square of each block = 2 feet

Given,

Shelly sews a square blanket that has an area of 144 square feet.

and,  it has 36 square blocks, each the same size.

To find the approximate length of each side of a block

Now, According to the question:

36 square blocks of same size. We need to find the area of each square block. so we divide = area / square blocks

= 144/ 36

= 4

The area of each square = 4 square feet

We know that

Area of square = side ^2

Side ^2 = 4

side = \(\sqrt{4}\)

Side = 2

Hence, The side of the square of each block = 2 feet

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Answer:

50%

Step-by-step explanation:

Let the total number of trees be T and suppose that this is made up of eucalyptus trees E and other kinds of trees, O.

Then E+O=T, and since 99% of the trees are eucalyptus trees, EE+O=0.99.

Therefore

0.99E+0.99O=E

0.01E=0.99O

E=99O.

Suppose we reduce the number of eucalyptus trees by some amount x and that the remaining number of eucalyptus trees are now 98% of the total trees.

Then we would have E−x(E−x)+O=0.98.

Therefore,

0.02(E−x)=0.98O

0.02E−0.02x=0.98O

0.02x=0.02E−0.98O

x=E−50(0.98)O

x=E−49O

x=E−49(E99)

x=5099E≈0.505050...×E.

So we end up removing a little over half of the eucalyptus trees. EDIT: Forgot to mention - removing 50.505050...% of the eucalyptus trees means that we are removing 0.50505050....×0.99T which is 0.5T or half the trees in the neighborhood.

The future value of depositing $1,000 every year for 20 years, with payments made at the beginning of each period, at an interest rate of 7% compounded yearly, is approximately $43,865.18.

To calculate the future value of a series of deposits, we can use the formula for the future value of an ordinary annuity:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value

P is the periodic payment

r is the interest rate per period

n is the number of periods

In this case, the periodic payment is $1,000, the interest rate is 7% (or 0.07), and the number of periods is 20.

Plugging these values into the formula, we get:

FV = 1000 * [(1 + 0.07)^20 - 1] / 0.07

  = 1000 * [1.07^20 - 1] / 0.07

  ≈ 1000 * [2.6532976 - 1] / 0.07

  ≈ 1000 * 1.6532976 / 0.07

  ≈ 43,865.18

Therefore, the future value of this series after 20 years would be approximately $43,865.18.

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The total number of throws will be equal to 16.

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.

The total number of throws will be calculated by adding all the throws,
Total throws = ( 3 / 5 ) + 15 + ( 2 / 5)

Total throws = ( 3 + 75 + 2) / 5

Total throws = 80 / 5

Total throws = 16

Therefore, the total number of throws will be equal to 16.

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Answer:

7x + 13

Step-by-step explanation:

because the correct answer is 7x+13

Answer:

B. Ronit has 32 bananas. She started with 12 bananas. She bought 4 bunches of the same number (x) . How many bananas were in each bunch?

Step-by-step explanation:

This one is right because if you were to actually solve this problem the equation would be the exact same

She has 32 bananas (=32)

She started with 12 (12+)

and she bought 4 more bunches, but we don't know how many are in each bunch, which would be X

12+4x =32