The cost to stay 4 days at a hotel is 308 at that rate what is the cost to stay 7 days at the same hotel

The convolution integral y(t) = x(t) * h(t) for the given pair of signals x(t) and h(t) can be computed as follows:

y(t) = ∫[x(τ) * h(t - τ)] dτ

1) x(t) = δ(t) and h(t) = δ(t - 2) * (t - 1)

The convolution integral becomes:

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

To evaluate this integral, we consider the properties of the Dirac delta function. When the argument of the Dirac delta function is not zero, the integral evaluates to zero. Therefore, the integral simplifies to:

y(t) = δ(t - 2) * (t - 1)

The convolution result y(t) is equal to the shifted impulse response h(t - 2) scaled by the factor of (t - 1). This means that the output y(t) will be a shifted and scaled version of the impulse response h(t) at t = 2, delayed by 1 unit.

In summary, for x(t) = δ(t) and h(t) = δ(t - 2) * (t - 1), the convolution integral y(t) = x(t) * h(t) simplifies to y(t) = δ(t - 2) * (t - 1).

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Answer:

\((3,7)\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point J (15, -13)

Point K (-9, 27)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint.

a. The general exponential growth equation is given by: y = abˣ

b. The general exponential decay equation is given by: \(y = a (1 - r)^x\)

Exponential growth is a type of growth pattern in which a quantity grows at an increasing rate proportional to its current value. This means that the larger the quantity, the faster it grows.

a. The general exponential growth equation is given by:

 y = abˣ

Where y is the final value, 'a' is the initial value, b is the growth factor or base, and x is the time or number of periods.

Exponential decay is a type of decay pattern in which a quantity decreases at a decreasing rate proportional to its current value. This means that the larger the quantity, the slower it decays.

b. The general exponential decay equation is given by:

\(y = a (1 - r)^x\)

Where y is the final value, a is the initial value, r is the decay rate, and x is the time or number of periods

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Answer:

Tyler should make 8 a day. You do 122-66 which is 56 and there are 7 days in a week so 56 divide by 7 is 8.

Tyler has to make 8 invitations each day.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that,

Total number of invitations to the fair = 122

Already, 66 invitations has been made.

Remaining invitations = 122 - 66 = 56

56 invitations has to be made in a week or 7 days.

Let x be the number of invitations made each week.

x = 56 / 7 = 8

Hence 8 invitations has to be made each day.

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Your question is incomplete. The complete question is as follows.

Tyler is making invitations to the fair. He has already made some of the invitations, and he wants to finish the rest of them within a week. He is trying to spread out the remaining work, to make the same number of invitations each day. Tyler draws a diagram to represent the situation.

The total of the x's and 66 is 122.

How many total invitations is Tyler trying to make?

Answer:

31.5 cm

Step-by-step explanation:

scale of an architecture is ratio of size of drawing to size of actual object.

Given size of football field is 160 feet by 360 feet

Given that on map shortest side is 14

since value of shortest side is 160 feet

then

scale defined for this football filed will be

scale = size of shortest side on model/size of shortest side of actual football field

scale = 14/160

Given that scale will remain same for longer side as

14/160= size of longer side on model/size of longer side of actual

14/160 =  size of longer side on model/360

thus,

size of longer side on model = (14/160) * 360

size of longer side on model = 14*360/160 = 31.5

Thus, the other side of model that is longer side is 31.5 cm

Answer:

B f(x) twice as narrow

Step-by-step explanation:

Answer:

where is the question, lady?

Answer:

Where is the question??

The standard deviation of the sampling distribution of m is 2.03/√2 = 1.44.

Sampling distribution of m can be generated by drawing samples from a particular population, calculating the mean of each sample, and then evaluating the sampling distribution of the mean. The mean of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 is 5.5, and the true standard deviation is 2.87.The experiment is carried out by rolling a ten-sided die twice (or two ten-sided dice one time) and calculating the mean of the sample. The population is made up of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10. The number of feasible sample sets, each of size n, is given by n!/(n-r)!r!, where n denotes the population size, and r represents the size of each sample set. Given that the population is composed of ten members, there are 100 potential sample sets of size two that may be chosen. We calculate the mean for each of these 100 samples to develop the sampling distribution of m.Next, calculate the mean of each of the 100 sample sets. The sample means will be normally distributed, with a mean of 5.5 and a standard deviation of (2.87)/√n. If n equals 2, the sample means will be normally distributed, with a mean of 5.5 and a standard deviation of 2.03. The following is the formula for calculating the standard deviation of the sampling distribution of m:σ/√nThe following is the formula for calculating the standard deviation of the sampling distribution of m:σ/√n

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In a multiple-choice test that has 5 questions, each with 5 possible answers, the probability of guessing all the questions correctly can be found using the formula:p = (1/5) × (1/5) × (1/5) × (1/5) × (1/5) = 1/3125.

The probability of guessing one question correctly is 1/5 since there are five possible answers. Since there are five questions, we multiply the probability by itself five times.

Therefore, the probability of guessing all the questions correctly is 1/3125, which is approximately 0.00032. This means that the chance of guessing all the questions correctly by random chance is very low.

This indicates that one should have studied for the test rather than relying solely on guesswork.

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Ruby's total earning for the month will be $4,020.

It is given that -

Ruby's monthly salary =$1,800

Ruby's  commission on sales= 6%

Ruby's last month sales= $37000

Ruby's monthly salary =$1,800

Ruby's  commission on sales= 6%

Ruby's last month sales= $37000

Amount Ruby earned as a commission = \(\dfrac{37000\times6}{100}\) =  $2220

Ruby's total earning will be = Salary + commission

                                               = 1800+2220

                                                = $4020

Hence Ruby's total earning for the month will be $4,020.

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We sum the present values of the two periods to get the total present value of the annuity: Total PV = PV(Year 1-5) + PV(Year 6-15)

The value today of a 15-year annuity that pays $670 a year, with the first payment occurring six years from today, can be calculated by discounting each cash flow to present value and summing them.

To determine the present value of the annuity, we need to consider two different interest rates over the 15-year period. From Year 1 to Year 5, the interest rate is 10 percent, and from Year 6 onwards, it is 12 percent.

First, we calculate the present value of the annuity payments from Year 1 to Year 5. Using the formula for the present value of an ordinary annuity, we find:

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

where P is the annual payment, r is the interest rate, and n is the number of periods.

PV(Year 1-5) = $670 * [(1 - (1 + 0.10)^(-5)) / 0.10]

Next, we calculate the present value of the annuity payments from Year 6 to Year 15, using the interest rate of 12 percent:

PV(Year 6-15) = $670 * [(1 - (1 + 0.12)^(-10)) / 0.12] * (1 + 0.12)^(-5)

By substituting the values into the respective formulas and performing the calculations, we can find the value today of the 15-year annuity.

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Answer:

always piπ:1. "A"

Step-by-step explanation:

circumference of a circle= 2πr

diameter of a circle=2r

ratio of circumference to radius=2πr/2r

=π/1 or π:1

Answer:

30 inches/4=7.5 inches

Step-by-step explanation:

Answer:

7.5 inches

Step-by-step explanation:

Since we need 4 magnets and we use 5/6 yards, it is easier to convert 5/6 yards into inches first. One yard=36 inches, so we used overall of 30 inches for every magnet. Simply divide 30/4 to get 7.5 inches

If a and b are real numbers with a < b, and a function y(t) satisfies certain conditions, such as being continuously differentiable and having a non-constant initial norm ||Y0||, then the vectors N(t) and y"(t) are not parallel for all t in the interval (a, b).

Let's consider a function y(t) that satisfies the given conditions. The vector N(t) represents the unit normal vector to the curve defined by y(t), while y"(t) denotes the second derivative of y(t).

If N(t) and y"(t) were parallel for all t in the interval (a, b), it would imply that the curvature of the curve defined by y(t) is constant. However, if ||Y0|| is not constant, it indicates that the magnitude of the tangent vector to the curve is changing as t varies.

The non-constancy of ||Y0|| implies that the curve is not a straight line. Therefore, the curvature of the curve varies along the interval (a, b). Consequently, N(t) and y"(t) cannot be parallel for all t in the interval (a, b).

In conclusion, if a function y(t) satisfies the given conditions, including a non-constant initial norm ||Y0||, the vectors N(t) and y"(t) cannot be parallel for all t in the interval (a, b), indicating that the curvature of the curve varies.

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The following distributions has a mean that varies

II. The distribution of sample data

III. The sampling distribution of the sample mean

The correct answer is option v) II and III."

Here, we have,

In the context of statistical distributions:

I. The population distribution refers to the distribution of a specific variable within the entire population. The mean of the population distribution which is fixed and does not vary.

II. The distribution of sample data refers to the distribution of a variable within a specific sample. The mean of the sample data can vary from one sample to another.

III. The sampling distribution of the sample mean refers to the distribution of sample means taken from multiple samples of the same size from a population. The mean of the sampling distribution of the sample mean is equal to the population mean, but the individual sample means can vary from sample to sample.

Therefore, the mean varies in both the distribution of sample data (II) and the sampling distribution of the sample mean (III), but not in the population distribution (I).

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In Milgram's first study of obedience, the majority of teachers initially complied but refused to deliver more than slight levels of shock.

In Milgram's first study of obedience, participants were assigned the role of 'teacher' and were instructed to administer electric shocks to a 'learner' whenever they answered a question incorrectly. The shocks ranged from mild to severe, with the highest level labeled as 'XXX.' The learner was actually an actor, and no real shocks were administered.

The study found that the majority of teachers initially complied with the experimenter's orders and delivered shocks, but they refused to deliver more than slight levels of shock. This suggests that while they were willing to follow the instructions to some extent, they had moral reservations about causing significant harm to another person.

It is important to note that the study has been criticized for ethical concerns and the potential psychological harm it may have caused to participants. However, it remains a significant contribution to our understanding of obedience and the power of authority figures.

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Answer:

F (x) = 16 (3/2) x-1  

Step-by-step explanation:

The answer is B  

Answer:

Step-by-step explanation:

Lets all remember rise over run to figure out slop and at coordinates (60, 25) we see that we go up 1 (rise) and go on the positive side 2 (run)

For the Y intercept (I'm really not sure about this answer) I figured it out by looking at the first point I saw (60, 25)

so I inferred that the y intercept is 25

Answer:

22.4

Step-by-step explanation:

3.2 times 7 is 22.4

Hopes this helps

also please give me brainlest

Answer:

5 ft

Step-by-step explanation:

area = ½( 3.2 + 7)h = 25.5 → ½( 10.2 )h = 25.5 →

5.1 h = 25.5 → h = 25.5/5.1 = 5

Answer:hmm 30c - 24d = 6d or 6c

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, you need to graph all given points in the table, that way you will be able to determine the end behavior.

Remember, the end behavior of a function is the behavior of f(x) as x approaches to positive infinity and negative infinity.

So, based in the graph, we can say that as x approaches to positive infinity, f(x) approaches to negative infinity, and as x approaches to negative infinity, f(x) approaches to negative inifinity. In other words, in either case, f(x) always approaches to negative infinity.

Therefore, the right answer is the last choice.

Answer:

As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞

Step-by-step explanation:

Just took the test!!!

Answer:

x = 2y +10

x = -2y + 5

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

if they are similar:

4×5=20

so

12×5=60

1. (4a - 5)+(3a + 6) = 7a + 1.
To solve, you simply combine the like terms (4a and 3a) to get 7a, and then combine the constants (-5 and 6) to get 1.

2. (6x + 9)+ (4x^2 - 7) = 4x^2 + 6x + 2.
To solve, you combine the like terms (6x and 4x^2) to get 4x^2 + 6x, and then combine the constants (9 and -7) to get 2.

3. (6xy + 2y + 6x) + (4xy - x) = 10xy + 2y + 6x - x = 10xy + 2y + 5x.
To solve, you combine the like terms (6xy and 4xy) to get 10xy, then combine the constants (2y and -x) to get 2y - x, and finally combine the like terms (6x and 5x) to get 11x. The final answer is 10xy + 2y + 5x.

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Answer: The value of 2c²d would be 2 * (0.5)² * 3 = 2 * (0.25) * 3 = 0.5 * 3 = 1.5

This is because you first square the value of c (0.5² = 0.25), then you multiply it by 2 (0.25 * 2 = 0.5) and then by d (0.5*3 = 1.5)

Step-by-step explanation:

\( \large \underline{ \tt \: \: Given \: : \: } \\ \: \: \: \: \boxed{ \red{\tt c : 0.5}} \\ \: \: \: \: \boxed{ \green{ \tt \: d : 3 \: \: \: }}\)

\( \: \)

put the value of c nd d in given eqⁿ ~

\( \: \)

\( \large \tt \: 2 { \red{c}^{2}}\green{d}\)

\( \: \)

\(\large \tt \: 2 \times { \red{0.5}^{2}} \times \green{3}\)

\( \: \)

\(\large \tt \: 2 \times { \red{0.25}} \times \green{3}\)

\( \: \)

\( \large \tt \: 2 \times { \purple{0.75}}\)

\( \: \)

\( \underline{ \boxed{ \large \tt \purple{ \: \: 1.5 \: \: }}}\)

\( \: \)

hope it helps!:)

Answer:

44 m

Step-by-step explanation:

I'll assume the 5 seconds is from the time he jumped off the board.

This means we are to calculate his height 3 seconds after dropping from the height of 9 m, since he spent 2 seconds springing up off the board from a height of 7 m to the 9 m height.

we use Newton's equation of motion.

We are given

initial velocity U at the height of 9 m = 0 m/s

acceleration due to gravity downwards g  = 9.81 \(m/s^{2}\)

distance covered S = ?

time of fall t = 3 seconds

we use S = Ut + \(\frac{1}{2}\)g\(t^{2}\)

S = (0 x 3) + \(\frac{1}{2}\)(9.81 x \(3^{2}\))

S = 0 + 44.145

S = 44 m

Answer:

\(\displaystyle y = 4x\)

Explanation:

Take a look at the endpoint of \(\displaystyle [10, 40].\) If you would just simply divide forty by ten, you will get your rate of change [slope] of four, leading you to the equation of \(\displaystyle y = 4x,\) especially because we are dealing with “direct variation”.

I am joyous to assist you at any time.

Answer:

91 +3409/12500

Step-by-step explanation:

Did you mean simplify as a fraction?

Answer:

125.

Given:

Step-by-step explanation:

As given in the question that the ratio is already given,

therefore,

1. The ratio of tourist of to locals

the ratio of tourist to local is 4:5

\(\frac{tourist}{locals}\)=\(\frac{4}{5}\)

2. Attendance of locals at the opening

here are 100 tourist at the opening

\(\frac{100}{locals} =\frac{4}{5}\)

locals= 125

locals are 125 in attendance.

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125 is the attendance of locals

The ratio of tourists to locals is 4:5

Tourists / Locals = 4 / 5

There are 100 tourists at the opening of the new museum

100 / locals = 4/5

locals = 500/4

locals = 125

The attendance of locals is 125.

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Answer:

1. 1, 2, 3, 4, or 5

2. as long as it is -4, -5, -6, -7, and so on

Step-by-step explanation: