Winslow buys 1.2 pounds of bananas. The bananas cost $1.29 per pound. To the nearest cent, how much does Winslow pay for the bananas? *

The convolution between the given signals is as follows:

A) Part 1: Convolution for even values of n (n = 0, 2, 4, ...):

For even values of n, the convolution is given by: y(n) = u(0) * u(n) + (1/2) * u(1) * u(n-1) + (1/4) * u(2) * u(n-2) + ...

Part 2: Convolution for odd values of n (n = 1, 3, 5, ...):

For odd values of n, the convolution is given by: y(n) = 2 * u(0) * u(n) + u(1) * u(n-1) + (1/2) * u(2) * u(n-2) + ...These equations represent the convolution of the signals (1/2)^n * u(n) and u(n) for even and odd values of n, respectively.

B) The convolution between x(n) = n u(n) + 2 n u(-n) and h(n) = u(n) is given by y(n) = (n u(n) + 2 n u(-n)) * u(n) = n u(n).

C) The convolution between x(n) = cos(πn) ⋅ u(n) and h(n) = (Q²)^n u(n) is given by y(n) = (cos(πn) ⋅ u(n)) * ((Q²)^n u(n)) = cos(πn) ⋅ (Q²)^n u(n).

D) The convolution between x(t) = e^(-2t) u(t) and h(t) = u(t+2) is given by y(t) = (e^(-2t) u(t)) * u(t+2) = e^(-2t) u(t+2).

E) The convolution between x(t) = e^(-2t) u(t) and h(t) = x(t-1) is given by y(t) = (e^(-2t) u(t)) * x(t-1) = e^(-2t) u(t) * x(t-1).

F) The convolution between x(t) = e^(-|t|) and h(t) = e^(-2t) u(t+1) is given by y(t) = (e^(-|t|)) * (e^(-2t) u(t+1)) = e^(-|t|) * e^(-2t) u(t+1).

Convolution is an operation performed on two signals to produce a third signal that represents the interaction between them. It is denoted by the asterisk (*) symbol. In each case, we apply the convolution operation according to the given signals.

A) In this case, the convolution between x(n) and h(n) results in a signal y(n) = (1/2)^n u(n).

B) The convolution between x(n) and h(n) simplifies to y(n) = n u(n).

C) The convolution between x(n) and h(n) yields y(n) = cos(πn) ⋅ (Q²)^n u(n).

D) The convolution between x(t) and h(t) gives y(t) = e^(-2t) u(t+2).

E) The convolution between x(t) and h(t) results in y(t) = e^(-2t) u(t) * x(t-1).

F) The convolution between x(t) and h(t) simplifies to y(t) = e^(-|t|) * e^(-2t) u(t+1).

In each case, the convolution operation combines the signals according to their respective formulas, resulting in a new signal that represents their interaction.

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Step-by-step explanation:

3a+10° 4a-10°

3a+10= 4a-10° (keeping =)

3a-4a=-10°-10°

-a=-20°

a=20°

The probability of observing a test statistic as extreme or more extreme than -0.56, assuming the null hypothesis is true, is 0.575. The correct answer is 2) Test Statistic: -0.56, P-Value: 0.575.

The test statistic is calculated by taking the difference between the observed proportion (9/26 = 0.346) and the hypothesized proportion (0.4), and dividing by the standard error of the proportion. This gives a test statistic of -0.56.

The p-value is the probability of observing a test statistic as extreme or more extreme than the one calculated, assuming the null hypothesis is true. In this case, we are conducting a two-tailed test, since the alternative hypothesis is not specified as being greater than or less than 0.4. Using a standard normal distribution table or calculator, we can find the area under the curve that corresponds to a test statistic of -0.56, which is 0.575. This means that the probability of observing a test statistic as extreme or more extreme than -0.56, assuming the null hypothesis is true, is 0.575.

Therefore, the correct answer is 2) Test Statistic: -0.56, P-Value: 0.575.

In this scenario, the student is testing the null hypothesis (p = 0.4) against the alternative hypothesis (p ≠ 0.4) to determine if the proportion of students using iPhones is different from 0.4. The sample size is 26, with 9 students using iPhones. The test statistic is -0.56 and the p-value is 0.575. Therefore, the correct answer is option 2) Test Statistic: -0.56, P-Value: 0.575.

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Answer:

y = $24,500 * (1 + 0.03x)

Step-by-step explanation:

Please find the attachment for detail

Answer: 15,552 inches cubed

Hope this helps!

The coordinates of the point that is 2/4 the way from A to B are (1, 7).

The coordinates of the point that divides a segment into a fractional component, n (n+m), or an arbitrary ratio, n:m, are given by:

   x = [n ⁄ (n+m)] (x₂ - x₁) + x₁  and y = [n ⁄ (n+m)] (y₂ - y₁) + y₁

Given:

For this problem, n = 2 and m = 2 since (2 ⁄ (2+2) = 2 ⁄ 4,  ( x,₁ y₁) =(-2, 5) and ( x₂, y₂) = (4, 9)

Where n and m are both positive integers, [n (n+m)] is the required distance ratio from the beginning position, (x₁, y₁)  are the coordinates of one endpoint, and (x₂, y₂) are the coordinates of the other endpoint.

x = [n ⁄ (n+m)] (x2 - x1) + x1

  = (2/4 ) (4 - (-2)) + (-2)

  =  (2/4 ) (4 + 2) + (-2)

  = (2/4 ) × 6 + (-2)

  =  3 - 2 = 1

y = [n ⁄ (n+m)] (y2 - y1) + y1

  =  (2/4 ) (9 - 5) + 5

  =  (2/4 ) (4) + 5

   =  2 + 5 = 7

Therefore, the coordinates of the point are (1, 7).

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The equation which has a solution of k = 6.5 is -7k = -45.5.

The correct answer choice is option C

Check all that applies:

-3k = 19.5

divide both sides by -3

k = 19.5/-3

k = -6.5

-1 + k = 7.5

Add 1 to both sides

k = 7.5 + 1

k = 8.5

-7k = -45.5

k = -45.5/-7

k = 6.5

-2 + k = -8.5

k = -8.5 + 2

k = -6.5

Therefore, -7k = -45.5 has the solution k = 6.5

Complete question:

Which equation has a solution of k = 6.5?

A. -3k = 19.5

B. -1 + k = 7.5

C. -7k = -45.5

D. -2 + k = -8.5

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The domain of the function f(x) = x² - 10x + 22 is the set of all real numbers

The function is given as:

f(x) = x² - 10x + 22

The above function is a quadratic function.

And all quadratic functions can take any real number as their input

Hence, the domain of the function f(x) = x² - 10x + 22 is the set of all real numbers

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The predicted income increases by $2,500, holding all other variables constant.

To interpret a regression coefficient based on standardized data using unstandardized units, you need to use the formula for converting standardized coefficients to unstandardized coefficients:

B(unstandardized) = B(standardized) * (SDY/SDX)

where B(unstandardized) is the unstandardized coefficient, B(standardized) is the standardized coefficient, SDY is the standard deviation of the dependent variable, and SDX is the standard deviation of the independent variable.

Once you have calculated the unstandardized coefficient, you can interpret it using the units of the original variables. For example, if you are predicting income (in dollars) based on education level (measured in years of schooling), and the regression coefficient for education level is 0.5 (standardized), and the mean income is $50,000 and the standard deviation is $10,000, and the mean education level is 12 years and the standard deviation is 2 years, then the unstandardized coefficient is:

B(unstandardized) = 0.5 * (10,000/2) = 2,500

This means that for every additional year of education, the predicted income increases by $2,500, holding all other variables constant.

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Answer: $1.13

Step-by-step explanation:

Answer:

1.12

Step-by-step explanation:

8.99 divided by 8

Answer: D) y = -1/4x + 6

Step-by-step explanation:

First turn the equation into slope-intercept form: y = 4x + 6

For a line to be perpendicular to another line, it's slope must be the opposite reciprocal of the other perpendicular line.  Thus, the slope of the perpendicular line is -1/4.  As the y-intercept of the line is (0,6), the lines must intersect as (0,6).  Thus, the other line must also have a y-intercept of 6.  Thus, the answer is D.

Hope this helps <3

Answer:

Equation: 0.8 = 0.25 + x

Answer: 0.55 meters or 11/20 meters

Step-by-step explanation:

The total amount of string = 4/5 m = 0.8 m

Used string (to hang the picture) = x m

Leftover string = 1/4 m = 0.25 m

Equation: 0.8 = 0.25 + x

Solve for x: x = 0.55 m = 11/20 m

Answer:

Step-by-step explanation:

      =2(5)^2 - 5(7)

      = 2(25) - 35

      = 50 - 35

      = 15

Answer:

\(\sqrt{18} + \sqrt{32} - 3 \sqrt{8} = \\ = \sqrt{9 \times 2} + \sqrt{16 \times 2} - 3 \sqrt{4 \times 2} \\ =3 \sqrt{2} + 4 \sqrt{2} - 3 \times 2 \sqrt{2} \\ = 3 + 4 - 6 \sqrt{2} \\ = 7 - 6 \sqrt{2} \\ = 1 \sqrt{2} \)

Semoga membantu

Answer:

\(\sqrt{18} + \sqrt{32} - 3 \sqrt{8} = 1 \sqrt{2} \)

Gabriel servers 80 glasses of fruit juice for a party. He pours 2/3 cup of fruit juice into each glass.  53 2/3 cups of fruit juice Gabriel pour in all.

To calculate find the answer, we multiplied the number of glasses(80) by the amount of juice in each glass(2/3 cup). This gave me 160/3, which then simplified to 53 2/3 cups of fruit juice(80 x (2/3) = 160/3 = 53 2/3), to simplify the answer, first we used the traditional method of long division to divide 160  by 3.

This gave me a  quotient of 53  and a remainder of 1 . Then put the remainder over the denominator of  3 to get the fraction 2/3. added this fraction to the quotient of  53 to get the final answer of 53 2/3 cups of fruit juice.

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Step-by-step explanation:

is 0 I think I don't know maybe

Answer:

\(40-15x=8\)

Step-by-step explanation:

\(20\times(2-\frac{3}{4}x)=20\times\frac{2}{5}\\\\40-15x=8\)

(a) Average water level = 7.6 feet

(b)  The water level in Boston Harbor equals the average water level at

t = 10, 14, 18, and 22.

(c) Temperature at 6 P.M. = 70 - 9.02 = 60.98 degrees Fahrenheit.

(d)  It makes sense that N(t) has a horizontal asymptote at y = 0 because as t becomes

What is integration?

Integration is a mathematical operation that is the reverse of differentiation. Integration involves finding an antiderivative or indefinite integral of a function.

a) To find the average water level in Boston Harbor over the 24 hour period, we need to calculate the integral of the function H(t) over the interval [0,24] and divide by the length of the interval. Using the Mean Value Theorem for Integrals, we have:

Average water level = (1/24) * ∫[0,24] H(t) dt

= (1/24) * [ -8cos(pi/6(t-10)) + (15.2t - 384sin(pi/6(t-10))) ] evaluated from 0 to 24

= 7.6 feet

b) To find the times of the day when the water level in Boston Harbor equals the average water level, we need to solve the equation H(t) = 7.6. Using the given formula for H(t), we have:

48sin[pi/6(t-10)] + 7.6 = 7.6

48sin[pi/6(t-10)] = 0

sin[pi/6(t-10)] = 0

t-10 = (2n)π/6 or t-10 = (2n+1)π/6, where n is an integer.

Solving for t, we get:

t = 10 + (2n)4 or t = 10 + (2n+1)2.5, where n is an integer.

Therefore, the water level in Boston Harbor equals the average water level at t = 10, 14, 18, and 22.

c) Newton's Law of Cooling states that the rate of change of the temperature of an object is proportional to the difference between its temperature and the temperature of its surroundings. In this case, the temperature of the wine is changing at a rate of \(-18e^{(-65t)}\) degrees Fahrenheit per hour. To find how much the temperature drops between 3 P.M. and 6 P.M., we need to calculate the integral of the rate of change of temperature over the interval [0,3] and multiply by -1 to get a positive value. Using the formula for the rate of change of temperature, we have:

ΔT = -∫[0,3] - \(18e^{(65t)}\)  dt

= [-18/(-65) \(e^{(-65t)}\)] evaluated from 0 to 3

≈ 9.02 degrees Fahrenheit

Therefore, the temperature of the wine drops by approximately 9.02 degrees Fahrenheit between 3 P.M. and 6 P.M. To find the temperature of the wine at 6 P.M., we need to subtract the temperature drop from the initial temperature of 70 degrees Fahrenheit:

Temperature at 6 P.M. = 70 - 9.02 = 60.98 degrees Fahrenheit.

d) The graph of n(t) = \(18e^{(65t)}\) is an increasing exponential function with a horizontal asymptote at y = 0. The graph of its antiderivative N(t) = \((18/65)e^{(65t)}\) is an increasing exponential function with a horizontal asymptote at y = 0 as well.

The solution to part (a) can be found on the graph of N(t) at y = 7.6, which represents the average water level in Boston Harbor over the 24 hour period.

The solution to part (b) can be found on the graph of H(t), which intersects with the horizontal line y = 7.6 at t = 10, 14, 18, and 22. It makes sense that N(t) has a horizontal asymptote at y = 0 because as t becomes

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Answer:

its 75

Step-by-step explanation:

im in highschool and just did this a couple of weeks ago

its called alternate interior or alternate exterior. something like that but i know im right trust me. also pls mark me brainliest

Answer:

5.6023 × 10^-5

Step-by-step explanation:

Let me know if you need an explanation.

Answer:

0.00005602

Step-by-step explanation:

0.00005602

(hope this helps can i plz have brainlist :D hehe)

Answer:

I'm sorry your paper is not clear please retake the picture and again attached it

Step-by-step explanation:

Answer: i may be wrong but is it 4?

The probability of winning $100 by matching exactly three of the first five and the sixth numbers is 0.0018. The probability of winning $100 by matching four of the first five numbers but not the sixth number is 0.0003.

To calculate the probability of winning $100 by matching exactly three of the first five and the sixth numbers, we first need to determine the total number of possible combinations for the first five numbers. Since each of the five numbers can be any number between 1 and 69, there are 69 choose 5 (written as 69C5) possible combinations, which is equal to 11,238,513. Out of these 11,238,513 possible combinations, we need to choose three numbers that will match the drawn numbers and two numbers that will not match. The probability of matching three numbers is calculated as 5C3/69C5, which is equal to 0.0018. The probability of not matching the remaining two numbers is 64C2/64C2, which is equal to 1.

Therefore, the probability of winning $100 by matching exactly three of the first five and the sixth numbers is 0.0018 x 1, which is equal to 0.0018. To calculate the probability of winning $100 by matching four of the first five numbers but not the sixth number, we need to determine the total number of possible combinations for four of the first five numbers. Since each of the four numbers can be any number between 1 and 69, there are 69 choose 4 (written as 69C4) possible combinations, which is equal to 4,782,487.

Out of these 4,782,487 possible combinations, we need to choose four numbers that will match with the drawn numbers and one number that will not match. The probability of matching four numbers is calculated as 5C4/69C4, which is equal to 0.0003. The probability of not matching the remaining number is 64/64, which is equal to 1. Therefore, the probability of winning $100 by matching four of the first five numbers but not the sixth number is 0.0003 x 1, which is equal to 0.0003.

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Based on the data in the table, if a cow is randomly selected from farm B, the probability that its feed includes seaweed is 0.597 (Option D) and without is 0.57

Note that the total number of feed with sea weed is 74.
And the total number of cows on the farm B is 124.

Thus, the cows whose feed includes seaweed is 74/124

= 0.59677419354

≈ 0.597

The Probability of those whose feed is without sea weed is

Note that the total number of feed without sea weed is 40.
And the total number of cows on the farm B is 76.

Thus, the probability is 40/70
= 0.5714285714

≈ 0.571

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The unit of measurement used is A. Standard deviation is the unit of measurement used to describe how far a set of values are from the mean.

The degree of variation of data from the average, or mean, is gauged by the standard deviation. It provides us with information on the average amount by which each data point diverges from the mean.

A lesser standard deviation suggests that the data points gather closely around the mean, whereas a greater standard deviation signifies that the data points are further dispersed. To standardize a value, we subtract the mean from the value and then divide by the standard deviation.

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Answer

1.per can : 10.8

i tried to answer but it is too hard

On solving the provided question, we can say that by unitary method With ten power crystals, 35 zombie troops can be raised.

What is unitary method ?

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Liliana raised 14 zombie troops with the help of four dark power stones.

Zombie troops can be increased to a total of 14 with 4 Dark power crystals. Zombies can be raised with 1 Dark power crystal, or 14/4.

Zombie soldiers can be raised using 1 Dark power crystal, or 7/2.

Zombie troops can be generated with 1 Dark power crystal by adding 10 to 7/2. You can produce 5 * 7 zombie troops with 1 Dark power crystal.

35 zombie troops can be generated with 1 dark power crystal.

With ten power crystals, 35 zombie troops can be raised.

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Answer:

Step-by-step explanation:

read the question it says

a 10 mile bike rade is DIVIDED into 4 equal sections

10 DIVIDED BY 4

10÷4=104 miles

Answer:

See Below.

Step-by-step explanation:

The sum of an A.P. is given by:

\(\displaystyle S_n=\frac{n}{2}(a+x_n)\)

Where n is the number of terms, a is the initial term, and xₙ is the last term.

Therefore:

\(\displaystyle S_{30}=\frac{30}{2}\Big(a+x_{30}\Big)=15(a+x_{30})\)

And likewise:

\(\displaystyle S_{20}=\frac{20}{2}\Big(a+x_{20}\Big)=10(a+x_{20})\\\\ S_{10}=\frac{10}{2}\Big(a+x_{10}\Big)=5(a+x_{10})\)

Substitute:

\(15(a + x_{30}) = 3(10 (a + x_{20}) - 5(a + x_{10} ))\)

Distribute:

\(15a+15x_{30}=30a+30x_{20}-15a-15x_{10}\)

Simplify:

\(15x_{30}=30x_{20}-15x_{10}\)

Simplify:

\(x_{30}=2x_{20}-x_{10}\)

The nth term for an A.P. is:

\(x_n=a+d(n-1)\)

Where a is the initial term and d is the common difference.

So, it follows that:

\(x_{30}=a+d(30-1)=29d+a\\ x_{20}=a+d(20-1)=19d+a\\ x_{10}=a+d(10-1)=9d+a\)

Therefore:

\(29d+a=2(19d+a)-9d-a\)

Which follows that:

\(29d+a=38d+2a-9d-a\\ \\ 29d=29d \\\\ d\stackrel{\checkmark}{=}d\)

QED.