3. X(w) = sin(20x/pi)*(u(k+8)-u(k-9)), w0 = pi/3
a. Find to
b. Is x(t) even, odd, neither
c. Is it purely real, purely imaginary, or neither
d. Write matlab code to graph x(t) ove -TO to TO

Answer:

A) n=9

B)X=-7

C)m=-4

D)P=8

Step-by-step explanation:

A)24=-3+3n

move variable to the lefthand side &change its sign

-3n+24=-3

move the constant to the righthand side &change its sign

-3n=-3-24

calculate the difference

-3n=-27

devide both sides by-3

Solution:

n=9

B)11+4x=x-10

11+4x-x=-10

move variable to the lefthand side &change its sign

4x-x=-10-11

move constant to the righthand &change its sign

4x-x=-10-11

collect like terms

3x=-21

devide both sides of the equation by 3

solution :

x=-7

C)-216=1+7(1+8m)

multiply the parentheses by 7

-216=1+7+56m

add the numbers

-216=8m+56m

move variable to the lefthand side &change its sign

-56m-216=8

move constant to the righthand side &change its sign

-56m=8+216

add the numbers

-56m=224

devide both sides of the equation by -56

solution:

m=-4

D)3p-3(2-2p)=34+4p

multiply the parentheses by -3

3p-6+6p=34+4p

collect like terms

9p-6=34+4p

move the variable to the lefthand side &change its sign

9p-4p-6=34

move the constant to the righthand side &change its sign

9p-4p=34+6

collect like terms &calculate the sum

5p=40

devide both sides by 5

solution:

P=8

HiI hope this helps..

Answer:

7

Step-by-step explanation:

We know the decimal place is after all those zeroes. Move the decimal x places to the left, until it is located between the 2 and 8. Since it moved 7 spaces, that is how you know the power of the ten. A faster way of doing this is the power is always one less than the number of digits of the number.

Answer: 7

Step-by-step explanation:

Answer:

if x is the number of years she is working that the equation would be: 24,500+x*((3/100)*24,500)

Step-by-step explanation:

For her 4th year x would be 4, so for the equation above x=4:

24500+4*((3/100)*24500)=27440

"All of the above" is the correct answer, as per the given conditional statements.

Conditional statements are statements that are true or false based on the truth or falsity of another statement. The following are conditional statements:

a) If it is raining, then I'll wear my hat

b) You can come only if you wear your socks

c) You should tell the truth unless you don't care about your conscience

Conditional statements are statements that relate two things together, where one thing relies on the other thing being true or false. There are a few different ways to write conditional statements. The most common format for writing conditional statements is using the “if-then” format.

A conditional statement has two parts:

If the hypothesis is true, then the conclusion must be true.

If the hypothesis is false, then the conclusion can be either true or false.

In the given question, all the options are conditional statements. Therefore, the correct answer is "All of the above".

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Answer:

24.5kg

Step-by-step explanation:

The largest possible weight is also known as the upper bound which is the largest possible number that would round to 24kg

this would equal to 24.4999999999999...

but to simplify we just round to 24.5

Answer:

a) 6x³ − 5x² − 39x + 35

b) no

Step-by-step explanation:

(2x − 5) (3x² + 5x − 7)

Distribute:

3x² (2x − 5) + 5x (2x − 5) − 7 (2x − 5)

Distribute again:

6x³ − 15x² + 10x² − 25x − 14x + 35

Combine like terms:

6x³ − 5x² − 39x + 35

5x − 2 is the opposite of 2x − 5, so you would get the negative of the answer from part (a).

Answer:

13.4

Step-by-step explanation:

The tree to the shadow forms a right angle triangle, so to calculate the distance from the tree tip to the shadow tip we can use pythagoras.

a^2 +b^2 = c^2

12^2 +6^2 = 144 +36 = 180 =c^2

Square root of 180 is approx 13.42.

To the nearest 10th = 13.4

on number 5 question the answer is 4,5,9

Step-by-step explanation:

it is because a right triangle is composed of 3 different sides (hypothenus, opposite angle and adjacent angle)

Answer:

5) B. 10, 24, 26

6) k = 8.5

Step-by-step explanation:

5) The a and b in context of the triangle have to be greater than the hypotenuse. It can’t equal the hypotenuse. 10 + 24 = 34, 34 > 26 Therefore our answer.

6) Our equation: c = sqrt of a^2 + b^2

C = sqrt of 3^2 + 8^2

*A= 3 B = 8*

C = sqrt of 9 + 64

C = square root of 73

C = 8.54 or 8.5

Giving our answer:

You could always check by listing the values of each side:

A=3 B=8 C=8.5

3, 8, 8.5

And up A and B: 3 + 8 = 11

11 > 8.5

Proving this is a right triangle!

Btw sqrt means square root! ;)

Hope this helps, good luck! :)

Answer:

85 because if you do the math

The desired significance level (usually 0.05), the researcher can determine whether to reject or fail to reject the null hypothesis.

What is the sample proportion of respondents who prefer to live somewhere other than where they currently live?

The sample proportion of respondents who prefer to live somewhere else can be calculated by dividing the number of respondents who indicated a preference for a different location by the total number of respondents.

To make confidence intervals and perform hypothesis testing in this scenario, the researcher can use formulas based on proportions. Since the question asks respondents about their preference (either yes or no), it involves a binomial distribution.

1.Confidence Interval Formula (Proportions): To construct a confidence interval for the proportion of people who prefer to live somewhere other than their current location, the researcher can use the following formula:

Confidence Interval=p​±Z×\(\sqrt{\frac{p(1-p)}{n} }\)

where:

2.Hypothesis Testing Formula (Proportions): To perform a hypothesis test to determine if the proportion of people who prefer to live elsewhere is significantly different from a particular value (null hypothesis), the researcher can use the following formula:

\(Z=\frac{p-p_{0} }{\sqrt{\frac{p_{0}(p_{0} -1)}{n} } }\)

​​where:

By comparing the calculated Z-value with the critical value(s) for the desired significance level (usually 0.05), the researcher can determine whether to reject or fail to reject the null hypothesis.

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Answer:

(60 - 20√3) / 3

Step-by-step explanation:

In a right-angled triangle, a ² + b ² = c ²

call the length of the opposite x and the adjacent x√3.

A 30, 60, 90 triangle takes the form x² + (x√3 )²

= x² + 3x²

= 4x² = hypotenuse²

hypotenuse = 2x.

so 2x + x + x√3 = 20

3x  + x√3 = 20

x (3 +  √3) = 20

x = 20 ÷ (3 +  √3)

hypotenuse = 2x.

2x = 2 X [20 ÷ (3 +  √3) ]

= 40 ÷ (3 +  √3)

= [ 40 ÷ (3 +  √3)] X [(3 -  √3) ÷ (3 - √3)]

= (120 - 40√3) ÷ (9 - 3)

= (120 - 40√3) ÷ 6

= (60/3) ÷ [(20√3) / 3]

= (60 - 20√3) / 3

The length of the hypotenuse (side "c") is 20 cm.

Let's denote the sides of the triangle as follows:

Let "a" be the side opposite the 30-degree angle.

Let "b" be the side opposite the 60-degree angle.

Let "c" be the hypotenuse opposite the 90-degree angle.

We know that the sum of the interior angles of any triangle is 180 degrees, so:

30 + 60 + 90 = 180

Now, let's use the Law of Sines to relate the side lengths and the angles of the triangle:

a/sin(30) = b/sin(60) = c/sin(90)

Since sin(30) = 1/2, sin(60) = √3/2, and sin(90) = 1, we can rewrite the equation as:

a/(1/2) = b/(√3/2) = c/1

Now, let's simplify:

a/(1/2) = 2a

b/(√3/2) = 2b/√3

c/1 = c

The piece of wire is 20 cm long, and this forms the perimeter of the triangle:

a + b + c = 20

Now, let's substitute the simplified expressions into the perimeter equation:

2a + 2b/√3 + c = 20

To make the denominator rational, we can multiply the equation by √3:

2√3a + 2b + √3c = 20√3

Now, we have two equations:

2√3a + 2b + √3c = 20√3

2a + 2b + c = 20

Let's use these equations to solve for "c." Subtract the second equation from the first:

(2√3a + 2b + √3c) - (2a + 2b + c) = 20√3 - 20

Simplifying:

(2√3a - 2a) + (√3c - c) = 20√3 - 20

Factor out "a" and "c":

2a(√3 - 1) + c(√3 - 1) = 20√3 - 20

Now, divide both sides by (√3 - 1):

c = (20√3 - 20) / (√3 - 1)

To rationalize the denominator, we need to multiply the numerator and denominator by the conjugate of (√3 - 1), which is (√3 + 1):

c = [(20√3 - 20) / (√3 - 1)] * [(√3 + 1) / (√3 + 1)]

c = [20√3(√3 + 1) - 20(√3 + 1)] / [(√3 - 1)(√3 + 1)]

c = (20√3(√3) + 20√3 - 20√3 - 20) / (3 - 1)

c = (60 - 20) / 2

c = 40 / 2

c = 20

Therefore, the length of the hypotenuse (side "c") is 20 cm.

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Answer:

Step-by-step explanation:

Let's solve each problem one by one:

1. Adam has $2 and is saving $2 each day. Brodie has $8 and is spending $1 each day. After how many days will each person have the same amount of money?

Let's assume the number of days is represented by 'x'.

Adam's money after 'x' days = $2 + $2x

Brodie's money after 'x' days = $8 - $1x

To find the number of days when they have the same amount of money, we set up an equation:

$2 + $2x = $8 - $1x

Simplifying the equation:

$2x + $1x = $8 - $2

$3x = $6

x = $6 / $3

x = 2

Therefore, after 2 days, Adam and Brodie will have the same amount of money.

Answer: A. 5x + 4 = 3x - 2 (incorrect)

2. A number increased by 8 is equal to twice the same number increased by 7.

Let's represent the number by 'x'.

Equation: x + 8 = 2x + 7

Solving the equation:

x - 2x = 7 - 8

-x = -1

x = 1

Therefore, the number is 1.

Answer: D. x + 8 = 2x + 7 (correct)

3. Spot weighs 6 pounds and gains one pound each week. Buddy weighs 2 pounds and gains 2 pounds each week. After how many weeks will the puppies weigh the same?

Let's represent the number of weeks by 'x'.

Spot's weight after 'x' weeks = 6 + 1x

Buddy's weight after 'x' weeks = 2 + 2x

To find the number of weeks when they weigh the same, we set up an equation:

6 + 1x = 2 + 2x

Simplifying the equation:

x - 2x = 2 - 6

-x = -4

x = 4

Therefore, after 4 weeks, Spot and Buddy will weigh the same.

Answer: A. x + 6 = 2x + 2 (incorrect)

4. Five less than two times a number is equal to 4 less than the same number.

Let's represent the number by 'x'.

Equation: 2x - 5 = x - 4

Solving the equation:

2x - x = -4 + 5

x = 1

Therefore, the number is 1.

Answer: B. 2x - 5 = x - 4 (correct)

5. Ann has an empty cup and adds 1 ounce of water per second. Bob has 12 ounces of water and drinks 2 ounces per second. After how many seconds will they have the same amount of water?

Let's represent the number of seconds by 'x'.

Ann's water after 'x' seconds = 1x ounces

Bob's water after 'x' seconds = 12 - 2x ounces

To find the number of seconds when they have the same amount of water, we set up an equation:

1x = 12 - 2x

Simplifying the equation:

1x + 2x = 12

3x = 12

x = 12 / 3

x = 4

Therefore, after 4 seconds, Ann and Bob will have the same amount of water.

Answer: A. -2x + 12 = -x + 6 (incorrect)

6. Tom has

12 candies and eats 2 each minute. Sue has 6 candies and eats 1 every minute. After how many minutes will they have the same number of candies?

Let's represent the number of minutes by 'x'.

Tom's candies after 'x' minutes = 12 - 2x

Sue's candies after 'x' minutes = 6 - 1x

To find the number of minutes when they have the same number of candies, we set up an equation:

12 - 2x = 6 - 1x

Simplifying the equation:

-2x + 1x = 6 - 12

-x = -6

x = 6

Therefore, after 6 minutes, Tom and Sue will have the same number of candies.

Answer: A. -2x + 12 = -x + 6 (correct)

A two-tailed hypothesis test is being used to evaluate a treatment effect with α = .05. The correct decision is: b) Reject the null hypothesis and conclude that the treatment has an effect.

To make the correct decision in a two-tailed hypothesis test, we compare the calculated z-score with the critical values from the standard normal distribution based on the significance level (α).

Given that α = 0.05, we need to find the critical values that divide the rejection region into two equal tails, with each tail containing 0.025 (α/2) of the total area.

Looking up the critical values in the standard normal distribution table, we find that the critical value for a two-tailed test with α = 0.05 is approximately ±1.96.

If the calculated z-score falls outside the range of -1.96 to 1.96, we reject the null hypothesis. Otherwise, if the calculated z-score falls within this range, we fail to reject the null hypothesis.

In this case, the calculated z-score is -2.24, which falls outside the range of -1.96 to 1.96. Therefore, we reject the null hypothesis.

The correct decision is: b) Reject the null hypothesis and conclude that the treatment has an effect.

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To find the volume of the world's largest paint ball, we first used the circumference to find the radius of the ball. Then, we used the formula for the volume of a sphere to calculate the volume. Finally, we converted the volume from cubic inches to cubic feet. The volume of the ball is approximately 15.0 cubic feet.

      From the information given, we know that when the ball had 20,500 coats of paint on it, the circumference along the great circle of the ball was approximately 133 inches. Therefore, we can write:

133 = 2πr

Solving for r, we get:

r = 133 / (2π) ≈ 21.1 inches

Now that we have the radius, we can use the formula for the volume of a sphere, which is V = (4/3)πr³. Plugging in the value we found for r, we get:

V = (4/3)π(21.1)³ ≈ 32,663 cubic inches

To convert this to cubic feet, we divide by 12³, since there are 12 inches in one foot. This gives us:

V ≈ 15.0 cubic feet

Therefore, the volume of the world's largest paint ball is approximately 15.0 cubic feet.

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Answer:

can i have brainliest? :) hope this helpeddd

Step-by-step explanation:

i don't know what im supposed to match it too but im just gonna solve the equation

2x + 5 = 19

isolate the variable

2x + 5 = 19

     -5     -5

2x = 14

__   __

2       2

x=   7

Answer:

I got two wrong but yeah heres this

Step-by-step explanation:

Recall the triple angle identity for sine:

sin(3x) = 3 sin(x) cos²(x) - sin³(x)

… = 3 sin(x) (1 - sin²(x)) - sin³(x)

… = 3 sin(x) - 4 sin³(x)

So the equation is equivalent to

sin²(x) - 2 sin(x) + 2 = sin²(3x)

sin²(x) - 2 sin(x) + 2 = (3 sin(x) - 4 sin³(x))²

sin²(x) - 2 sin(x) + 2 = 9 sin²(x) - 24 sin⁴(x) + 16 sin⁶(x)

16 sin⁶(x) - 24 sin⁴(x) + 8 sin²(x) + 2 sin(x) - 2 = 0

or, by replacing y = sin(x),

16y ⁶ - 24y ⁴ + 8y ² + 2y - 2 = 0

By inspection, y = 1 is a root, since

16 - 24 + 8 + 2 - 2 = 0

so we get one family of solutions,

sin(x) = 1   ===>   x = arcsin(1) + 2nπ = π/2 + 2nπ

Now suppose y ≠ 1. Dividing both sides of the sextic equation by y - 1 then gives

(16y ⁶ - 24y ⁴ + 8y ² + 2y - 2)/(y - 1) = 0

16y ⁵ + 16y ⁴ - 8y ³ - 8y ² + 2 = 0

Unfortunately, the remaining roots can only be obtained through numerical methods. Using a calculator, you would find

y ≈ -1.127

y ≈ -0.475 ± 0.368i

y ≈ 0.539 ± 0.127i

But if you're solving over the reals, you can ignore these solutions. Remember that sin(x) is bounded between -1 and 1, and its value goes outside this interval only when x is complex.

Answer: 1840 pounds

Step-by-step explanation:4x4=16

460 x 4 = 1840

Answer:

56

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

the answer is 56

Answer:

Let's solve your equation step-by-step.

|−x−15|=|5x−23|

Solve Absolute Value.

|−x−15|=|5x−23|

We know either−x−15=5x−23or−x−15=−(5x−23)

−x−15=5x−23(Possibility 1)

−x−15−5x=5x−23−5x(Subtract 5x from both sides)

−6x−15=−23

−6x−15+15=−23+15(Add 15 to both sides)

−6x=−8

−6x

−6

=

−8

−6

(Divide both sides by -6)

x=

4

3

−x−15=−(5x−23)(Possibility 2)

−x−15=−5x+23(Simplify both sides of the equation)

−x−15+5x=−5x+23+5x(Add 5x to both sides)

4x−15=23

4x−15+15=23+15(Add 15 to both sides)

4x=38

4x

4

=

38

4

(Divide both sides by 4)

x=

19

2

Check answers. (Plug them in to make sure they work.)

x=

4

3

(Works in original equation)

x=

19

2

(Works in original equation)

Answer:

x=

4

3

or x=

19

2

Step-by-step explanation:

Answer:

x = 4/3

Step-by-step explanation:

|-x-15 | = | 5x - 23 |

take square root

√-x-15 = √ 5x - 23

than take square

(√-x-15 )² = (√ 5x - 23)²

than,

-x -15 = 5x - 23

-15 = x + 5x - 23  ( add x on both sides )

-15 + 23 = 6x  ( add 23 on both sides )

8 = 6x

8/6 = x   (divide 6 on both sides )

x = 4/3

In a given year, an economy has 10 million unemployed workers and 120 million employed workers. This information provides a snapshot of the labor market and indicates the number of individuals who are currently without jobs and those who are employed.

The information states that in the given year, there are 10 million unemployed workers and 120 million employed workers in the economy. This data provides a measure of the labor market situation at a specific point in time.

Unemployed workers refer to individuals who are actively seeking employment but currently do not have a job. The number of unemployed workers can be an important indicator of the health of an economy and its ability to provide job opportunities.

Employed workers, on the other hand, represent individuals who have jobs and are currently working. The number of employed workers indicates the size of the workforce that is actively contributing to the economy through productive activities.

By knowing the number of unemployed and employed workers, policymakers, economists, and analysts can assess factors such as labor market conditions, unemployment rates, and workforce participation rates. This information is crucial for formulating policies, understanding economic dynamics, and monitoring the overall health and functioning of the economy.

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Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

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Using the box-whisker plot approach, it is computed that 50% of the data values are more than 45.

In a box-whisker plot, as seen in the illustration, The minimum, first quartile, median, third quartile, and maximum quartiles are shown by a rectangular box with two lines and a vertical mark. In descriptive statistics, it is employed.

Given the foregoing, the box-whisker plot depicts a specific collection of data. A vertical line next to the number 45 shows that it is the 50th percentile in this instance and that 45 is the median of the data.

It indicates that 50% of the values are higher than 45 and 50% of the values are higher than 45.

Using this technique, we can easily determine the proportion of data for which the value is higher or lower. Data analysis and result interpretation are aided by it. Therefore, 50% of values exceed 45.

Note: The correct question would be as

The box-and-whisker plot below represents some data sets. What percentage of the data values are greater than 45?

0

H

10

20

30 40

50 60

70 80 90 100

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Maria must cut an additional $70 from her expenses each month in order to save enough money to buy a new TV that costs $420 in 6 months. By allocating this additional amount towards her savings goal, she will be able to reach her target within the desired timeframe. It's important for Maria to review her budget and identify areas where she can reduce expenses in order to make room for the additional savings. This could involve cutting back on discretionary spending, finding ways to save on daily expenses, or exploring opportunities to increase her income.

Maria must cut an additional $70 from her expenses each month.

To determine how much additional money Maria must cut from her expenses each month to afford a new TV that costs $420 in 6 months, we divide the total cost by the number of months.

Additional money per month = Total cost / Number of months

Additional money per month = $420 / 6

Additional money per month = $70

With careful planning and commitment to her budget, Maria can achieve her goal of purchasing a new TV without compromising her financial stability.

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Answer:

2,083.3

Step-by-step explanation:

Answer:

42 tablespoons

Step-by-step explanation:

a tablespoon is 1/2 a fluid ounce.

so, 21x2= 42

Answer:9

Step-by-step explanation:

Step-by-step explanation:

prime numbers from 1 to 20 are those that can be divided by 1 and itself, so

1

2

3

5

7

11

13

17

19

the average is the sum of all of them, divided by how many they are (there are 9 of them)

avg = (1+2+3+5+7+11+13+17+19)/9

avg = 8.67

note: some consider that 1 is not a prime number because in this case the definition "that can be divided by 1 and itself" is redundant. if that's what you learned in class, then you need to remove it from the formula and divide by 8

we can use trigonometry

where a is the angle

oppositeside and the oppiste side from the angle a

so replacing

the measure of theta is 11.57°

Answer:

1,608.5 cm³

Step-by-step explanation:

radius = 16 : 2 = 8 cm

base area = 8² · π = 64 ·π = 201.06193 cm²

Volume = 201.06193 · 8  = 1,608.495439 cm³

Answer:

227.02

Step-by-step explanation:

\(400.00-172.98 \\ \\ =300 - 72.98 \\ \\ =230-2.98 \\ \\ =228-0.98 \\ \\ =227.02\)

Answer:

227.02

Step-by-step explanation:

\(400.00\\-172.98\)

To solve: First subtract 172 from 400, resulting in 228, then you may subtract the 0.98, leaving 227.02.

Use the FORECAST.LINEAR function in cell F9 to forecast potential donations once the goal of 20,000 participants is reached.

To forecast potential donations once the goal of 20,000 participants is reached, the FORECAST.LINEAR function can be used in cell F9.

This function calculates a linear forecast based on the existing data. By providing the number of participants as the x-value and the corresponding donations as the y-values, the function estimates the expected donation amount when the participant count reaches 20,000.

The result of the FORECAST.LINEAR function in cell F9 should be formatted as Currency to display the forecasted donation amount in the desired format.

Additionally, to complete the analysis, formulas need to be added in the range G9:H9 to calculate the high and low thresholds of the forecast.

These thresholds help establish a range within which the actual donation amount may fall, considering the uncertainty associated with the forecast.

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Question - Step Instructions Points Possible 15 7 Use the FORECAST.LINEAR function in cell F9 to forecast potential donations once the goal of 20,000 participants is reached. Format the results as Currency. 16 8 Complete your analysis by adding formulas in the range G9:H9 to calculate the high and low thresholds of the forecast. File Home Insert Page Layout Formulas Data Review View Developer Help Power Pivot Calibri 11 = Wrap Text General X Cut C6 Copy Format Painter A Å CA A y Paste BIU І + Merge & Center $ % -28 ) 000 ITI RnNNR5sD5... WIPeWVn55... YlO3GdIOIHT... Conditional Format as yOntUC9tS4... Normal Bad Formatting Table Styles y V Clipboard Font Alignment Number G9 fic А B с D E F G H I J K L M N O P 0 R S 1 2 Golden State 5k Location Los Angeles 3 20000 4 Year 5 6 Intercept Slope RSQ Standard Error -9730.2167 6.616157 0.968909 4383.690033 7 8 2005 2006 2007 2008 2009 High Low Forecast $122,592.92 9 10 11 2010 12 13 Participants Donations 3000 $10,000.00 3750 $14,500.00 4000 $17,000.00 4500 $20,000.00 5000 $22,500.00 7500 $30,000.00 8750 $45,000.00 9000 $50,100.00 9000 $56,000.00 9200 $58,250.00 10000 $60,125.00 10250 $62,500.00 11750 $64,000.00 12250 $70,000.00 12500 $75,000.00 15000 $85,500.00 2011 2012 2013 2014 2015 2016 14 Participant Forecast 15 16 17 y = 6.6162x - 9730.2 R=0.96890 18 2017 A. 19 20 21 22 2018 2019 2020 $100,000.00 $ $90,000.00 $80,000.00 $ $70,000.00 $60,000.00 $50,000.00 $40,000.00 $30,000.00 $ $20,000.00 $10,000.00 $0.00 0 0 ............ .. 23 24 25 26 27 2000 4000 6000 8000 10000 12000 14000 16000 28 29 30 31 32