help, please the question and thank you

Answer:

5.4372 x 10 to the 5th power

Step-by-step explanation:

Answer:

\(5.4372*10^{13}\)

Step-by-step explanation:

The response y(t) graphically, we can first plot the individual functions h(t) and x(t) on a graph, and then determine their convolution to obtain y(t). Let's go step by step:

Plotting h(t):

The function h(t) is defined as h(t) = [u(t-1) - u(t-4)].

The unit step function u(t-a) is 0 for t < a and 1 for t ≥ a. Based on this, we can plot h(t) as follows:

For t < 1, h(t) = [0 - 0] = 0

For 1 ≤ t < 4, h(t) = [1 - 0] = 1

For t ≥ 4, h(t) = [1 - 1] = 0

So, h(t) is 0 for t < 1 and t ≥ 4, and it jumps up to 1 between t = 1 and t = 4. Plotting h(t) on a graph will show a step function with a jump from 0 to 1 at t = 1.

Plotting x(t):

The function x(t) is defined as x(t) = t[u(t) - u(t-2)].

For t < 0, both u(t) and u(t-2) are 0, so x(t) = t(0 - 0) = 0.

For 0 ≤ t < 2, u(t) = 1 and u(t-2) = 0, so x(t) = t(1 - 0) = t.

For t ≥ 2, both u(t) and u(t-2) are 1, so x(t) = t(1 - 1) = 0.

So, x(t) is 0 for t < 0 and t ≥ 2, and it increases linearly from 0 to t for 0 ≤ t < 2. Plotting x(t) on a graph will show a line segment starting from the origin and increasing linearly with a slope of 1 until t = 2, after which it remains at 0.

Obtaining y(t):

To obtain y(t), we need to convolve h(t) and x(t). Convolution is an operation that involves integrating the product of two functions over their overlapping ranges.

In this case, the convolution integral can be simplified because h(t) is only non-zero between t = 1 and t = 4, and x(t) is only non-zero between t = 0 and t = 2.

The convolution y(t) = h(t) * x(t) can be written as:

y(t) = ∫[1,4] h(τ) x(t - τ) dτ

For t < 1 or t > 4, y(t) will be 0 because there is no overlap between h(t) and x(t).

For 1 ≤ t < 2, the convolution integral simplifies to:

y(t) = ∫[1,t+1] 1(0) dτ = 0

For 2 ≤ t < 4, the convolution integral simplifies to:

y(t) = ∫[t-2,2] 1(t - τ) dτ = ∫[t-2,2] (t - τ) dτ

Evaluating this integral, we get:

\(y(t) = 2t - t^2 - (t - 2)^2 / 2,\) for 2 ≤ t < 4

For t ≥ 4, y(t) will be 0 again.

Maximum value of y(t):

To find the value of t at which y(t) reaches its maximum value, we need to examine the expression for y(t) within the valid range 2 ≤ t < 4. We can graphically determine the maximum by plotting y(t) within this range and identifying the peak.

Plotting y(t) within the range 2 ≤ t < 4 will give you a curve that reaches a maximum at a certain value of t. By visually inspecting the graph, you can determine the specific value of t at which y(t) reaches its maximum.

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The sum of the matrices A and C from the list of options is the matrix B

Given the following matrices

Matrix A

| 0  6  2 |

| 1  5  -2 |

Matrix C

| -2  5  3 |

| -1  -7  3|

To find the sum of matrices A and C, we add the corresponding elements in each matrix:

So, we have: A + C

| 0 - 2  6 + 5  2 + 3 |

| 1 - 1    5 - 7  -2 + 3|

Evaluate the sum

| -2  11  5 |

| 0   -2  1 |

This represents option B

Therefore, the sum of matrices A and C is (B)

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Complete question

What is the sum of A+C?

Matrix A

| 0  6  2 |

| 1  5  -2 |

Matrix C

| -2  5  3 |

| -1  -7  3|

Answer:

Step-by-step explanation:

cdcdfcdfvdsfdf

Answer:

7x - 2y - 20 = 0

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (2, - 3 ) and (x₂, y₂ ) = (4, 4 )

m = \(\frac{4-(-3)}{4-2}\) = \(\frac{4+3}{2}\) = \(\frac{7}{2}\) , then

y = \(\frac{7}{2}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, 4 )

4 = \(\frac{7}{2}\) (4) + c = 14 + c ( subtract 14 from both sides )

- 10 = c

y = \(\frac{7}{2}\) x - 10 ← in slope- intercept form

multiply through by 2

2y = 7x - 20 ( subtract 2y from both sides )

0 = 7x - 2y - 20 , that is

7x - 2y - 20 = 0 ← required equation

The transformed function is:

f(x) = - (1/3)^3 x^3 - 2(1/3)^2 x^2 + 2 - 9

Simplifying:

f(x) = - (1/27) x^3 - (2/9) x^2 - 7

Then, reflecting in the x-axis:

g(x) = -f(x) = (1/27) x^3 + (2/9) x^2 + 7

So the final transformed function is g(x) = (1/27) x^3 + (2/9) x^2 + 7.

The horizontal cut back with the aid of a aspect of one/three does not have an effect on the area of the function, which stays all real numbers. The translation of 2 devices up shifts the variety of the function through 2 gadgets as properly. The mirrored image inside the x-axis modifications the signal of the feature's output, efficaciously inverting the variety. As a result, the converted function has the equal domain as the unique function, however its variety is inverted and shifted by 2 units up. The variety of the transformed feature, therefore, is all real numbers extra than or same to two.

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Answer:

27 litros de leche de búfalo equivalen a 45.9 litros de leche de vaca.

Step-by-step explanation:

Sabiendo que un litro de leche de búfala equivale a 1.7 litros de leche de vaca, podemos calcular el equivalente de capacidad de la vaca para 27 litros de leche de búfala mediante Regla de Tres Simple:

\(x = 27\,L\times \frac{1.7\,L}{1\,L}\)

\(x = 45.9\,L\)

27 litros de leche de búfalo equivalen a 45.9 litros de leche de vaca.

Answer:

Kids: 6.25

Adults: Also 6.25

Step-by-step explanation:

So I focused on the first day more. I noticed that 1/4 of the people who attended were kids, and that leaves it with 3/4 people which were adults.

25% (or 1/4) of 750 is 187.5

So 75% of 750 is 562.5

187.5+562.5=750 so we are on the right path

If the ticket for kids totaled 187.5 and 30 students got it, then the price for the ticket is 187.5/30=x and x equals 6.25

If the ticket for adults totaled 562.5 and 90 people got it, then the price is 562.5/90=y and y equals 6.25.

Checking if i'm correct:

6.25*30=187.5

6.25*90=562.5

187.5+562.5= 750

i probably didnt make it as clear im only in 7th grade, but hopefully this was the answer you were looking for

Answer:

All rhombuses are rectangles. False

All parallelograms are quadrilaterals. True

All squares are rhombuses. True

All rectangles are squares. False

Answer:

A. 190 lb

Step-by-step explanation:

Hope this helps

Answer:

hi so basically you find area the way you normally would, length width etc, and then you also find the area of the triangle inside and subtract that amount from the area you first got from the rectangle. sorry if this doesn't make sense, good luck!

Step-by-step explanation:

Therefore, to determine the direct sum S ⊕ S' with orthogonality, you need to ensure that every vector in S is orthogonal to every vector in S', and vice versa. If this condition holds true, you can conclude that S ⊕ S' is an orthogonal direct sum.

The orthogonal complement of a subspace is a concept in linear algebra that represents the set of all vectors in the vector space that are orthogonal (perpendicular) to every vector in the given subspace. To find the direct sum S ⊕ S' of two subspaces S and S', the subspaces S and S' must be orthogonal to each other. In other words, every vector in S must be orthogonal to every vector in S', and vice versa.

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Answer:

A

Step-by-step explanation:

To determine if a point lies on the curve, substitute the x- coordinate into the equation. If the value obtained is equal to the y- coordinate then the point lies on the curve, that is

A

y = (\(\frac{3}{2}\) )² = \(\frac{9}{4}\) ≠ \(\frac{9}{2}\) ← not on line

B

y = (- 1)² = 1 ← lies on line

C

y = 4² = 16 ← lies on line

D

y = (\(\frac{1}{2}\) )² = \(\frac{1}{4}\) ← lies on line

You cant simplify further than that. Look at the file attached to this.

EDIT:

If that was wrong, try,

Repost your question.  Not readable.

Answer:

24.315°

Step-by-step explanation:

First use the pythagorean theorem to get the missing side since this is a right triangle.

a^2 + b^2 = c^2 →

b^2 = c^2 – a^2 →

b = (c^2 – a^2)^½

b = (17^2 – 7^2)^½

b = (289 – 49)^½

b = √240.

Then use the law of cosines to find the angle in between.

b^2 = a^2 + c^2 - 2ac * cos(B) →

b^2 - a^2 - c^2 = -2ac * cos(B) →

a^2 + c^2 – b^2 / 2ac = cos(B) →

cos^-1(a^2 + c ^2 – b^2 / 2ac) = C →

B = cos^-1(a^2 + c ^2 – b^2 / 2ac)

B = cos^-1(49 + 289 – √240 / 238)

B ≈ 75.685°.

A = 180 – B

A = 180 – 75.685

A = 24.315°

You put this very long ago do you still need help????? :|

Answer:

im sorry i cant

Step-by-step explanation:

-14 is the value of the expression b - 3a at a =6 and b = 4.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression b - 3a

For this expression given,

a = 6 and b = 4

Thus the value of expression at given values

=> b - 3a

=> 4 - 3 * 6

=>4 - 18

=> -14

Therefore, the value of the expression b - 3a at a =6 and b = 4 is -14.

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Answer:

Step-by-step explanation:

Answer: D) subtract one x block from the left side and subtract two numbered blocks from the right side

Step-by-step explanation:

Answer:

The equation of perpendicular bisector of QR is:

y = -\frac{2}{3}x+\frac{22}{3}y=−32x+322

Step-by-step explanation:

Given points are:

Q(-2,0)\ and\ R(6,12)Q(−2,0) and R(6,12)

First of all, we have to find the slope of the given line

So,

m = \frac{y_2-y_1}{x_2-x_1}m=x2−x1y2−y1

Here

(x1,y1) = (-2,0)

(x2,y2) = (6,12)

Let m1 be the slope of QR:

Then

\begin{gathered}m_1 = \frac{12-0}{6+2}\\= \frac{12}{8}\\= \frac{3}{2}\end{gathered}m1=6+212−0=812=23

Let m2 be the slope of perpendicular bisector

We know that the product of slopes of two perpendicular lines is -1

\begin{gathered}m_1.m_2 = -1\\\frac{3}{2}.m_2 = -1\\m_2 = -1 * \frac{2}{3}\\m_2 = -\frac{2}{3}\end{gathered}m1.m2=−123.m2=−1m2=−1∗32m2=−32

The bisector will pass through the mid-point of QR

\begin{gathered}M = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\M = (\frac{-2+6}{2}, \frac{0+12}{2})\\M = (\frac{4}{2}, \frac{12}{2})\\M = (2,6)\end{gathered}M=(2x1+x2,2y1+y2)M=(2−2+6,20+12)M=(24,212)M=(2,6)

Slope-intercept form of equation is:

y = m_2x+by=m2x+b

Putting the value of slope

y = -\frac{2}{3}x+by=−32x+b

Putting (2,6) in the equation

\begin{gathered}6 = -\frac{2}{3}(2)+b\\6 = -\frac{4}{3}+b\\b = 6+\frac{4}{3}\\b = \frac{18+4}{3}\\b = \frac{22}{3}\end{gathered}6=−32(2)+b6=−34+bb=6+34b=318+4b=322

So,

y = -\frac{2}{3}x+\frac{22}{3}y=−32x+322

Hence,

The equation of perpendicular bisector of QR is:

y = -\frac{2}{3}x+\frac{22}{3}y=−32x+322

a. The truth set for the predicate "6/d is an integer" with a domain of Z (the set of all integers) is the set of all integers that divide 6 evenly, which are {-6, -3, -2, -1, 1, 2, 3, 6}.

b. The truth set for the predicate "6/d is an integer" with a domain of Z+ (the set of all positive integers) is the set of all positive integers that divide 6 evenly, which are {1, 2, 3, 6}.

c. The truth set for the predicate "1 ≤ x2 ≤ 4" with a domain of R (the set of all real numbers) is the set of all real numbers between 1 and 4, including 1 and 4 themselves. So the truth set is [1, 4] .

d. The truth set for the predicate "1 ≤ x2 ≤ 4" with a domain of Z (the set of all integers) is the set of all integers whose square is between 1 and 4, including 1 and 4 themselves. So the truth set is {-2, -1, 1, 2}.

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Answer:

x+112°+133°+128°+100°+120°=720°(angle sum property of hexagon is 720)

x+593°=720°

x=720°-593°

x=127°

hope u understood!

The problem of unit root in standard regression and time-series models arises when a variable exhibits a non-stationary behavior, meaning it has a trend or follows a random walk. Unit root tests, such as the Dickey-Fuller and augmented Dickey-Fuller tests, are used to detect the presence of a unit root in a time series. These tests examine whether the coefficient on the lagged value of the variable is significantly different from one, indicating the presence of a unit root.

In standard regression analysis, it is typically assumed that the variables are stationary, meaning they have a constant mean and variance over time. However, many economic and financial variables exhibit non-stationary behavior, where their values are not centered around a fixed mean but instead follow a trend or random walk. This presents a problem because standard regression techniques may produce unreliable results when applied to non-stationary variables.

Time-series models, such as autoregressive integrated moving average (ARIMA) models, are specifically designed to handle non-stationary data. They incorporate differencing techniques to transform the data into a stationary form, allowing for reliable estimation and inference. Differencing involves computing the difference between consecutive observations to remove the trend or random walk component.

The Dickey-Fuller test and augmented Dickey-Fuller test are commonly used to detect the presence of a unit root in a time series. These tests examine the coefficient on the lagged value of the variable in a regression framework. The null hypothesis of the tests is that the variable has a unit root, indicating non-stationarity, while the alternative hypothesis is that the variable is stationary.

The Dickey-Fuller test is a simple version of the test that includes only a single lagged difference of the variable in the regression. The augmented Dickey-Fuller test extends this by including multiple lagged differences to account for potential serial correlation in the data. Both tests provide critical values that can be compared to the test statistic to determine whether the null hypothesis of a unit root can be rejected.

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Answer:

2

Step-by-step explanation:

2days

Answer:

The boat traveled at 10 miles per hour for 2 hours and at 30 miles per hour for 4 hours.

Step-by-step explanation:

Let x be the time (in hours) that the boat traveled at 10 miles per hour, and let y be the time (in hours) that it traveled at 30 miles per hour.

We know that:

x + y = 6 (the total time the boat traveled)

We also know that the boat traveled a total distance of 140 miles, which can be expressed as:

10x + 30y = 140

We can use the first equation to solve for one of the variables in terms of the other:

y = 6 - x

Substituting this expression for y into the second equation, we get:

10x + 30(6 - x) = 140

Simplifying and solving for x, we get:

10x + 180 - 30x = 140

-20x = -40

x = 2

Therefore, the boat traveled at 10 miles per hour for 2 hours and at 30 miles per hour for 4 hours.

In the triangle , the value οf x is 42.4.

What is law of sine?

Law οf sines establishes the ratiο οf a triangle's sides and establishes that each side's sine angle is equal tο the οther. Other names fοr sines include sine Iaw, sine ruIe, and sine frmuIa.

Tο determine the unknοwn angle οr the side οf a unique triangle, the sine wave is used. Any triangle that is nοt a right triangle is cοnsidered a unique triangle. At least twο angles and their assοciated side measurements shοuld be used when using the Iaw οf sine.

The trigonometric functiοn, the law of sine is,

\(\frac{sin(A)}{a}=\frac{sin(B)}{b}\)

In the given triangle  using law οf sine then,

=> \(\frac{sinM}{NL}=\frac{sinN}{ML}\)

=> \(\frac{sin88\textdegree}{x}=\frac{sin38\textdegree}{26}\)

=> x = \(\frac{sin88\textdegree\times26}{sin38\textdegree}\)

=> x = 42.2

Hence the value οf x is 42.2.

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Answer:

19.6x24=470.4

Step-by-step explanation: