determine the angle along with its uncertainty. if you were to measure this angle with a protractor, would you be able to do it as precisely as this?

The product of the given polynomial is found as  5x³/2 - 9x²/4 + -5x/3 + 3/2.

The given expression is-

=  (1/2x - 1/4) × (5x² - 2x + 6)

= 1/2x (5x² - 2x + 6) - 1/4 (5x² - 2x + 6)

= 5x³/2 - x² + x/3 - 5x²/4 - 2x + 3/2

= 5x³/2 - 9x²/4 + -5x/3 + 3/2

Thus, the product of the given polynomial is found as  5x³/2 - 9x²/4 + -5x/3 + 3/2.

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The correct question is-

What is the product of 1/2x - 1/4 and 5x^2 - 2x + 6? Write your answer in standard form.

The complex number given above expressed as a + ib is 2i

Complex numbers are the numbers that are stated in the form of a+ib where, a,b are real numbers and I is an imaginary number termed "iota". The value of i = (√-1).

To solve the above problem, first, we must reduce imaginary units using the property i² = -1

(i)⁹ - 1 (i)¹⁹

i - 1 (i) ¹⁹

i - 1 (-1)

Subtract the complex numbers

i - (-i)

Identify the components of the numbers and add the real and imaginary parts separately.

(1 + 1)i

Identify the components of the numbers and add the real and imaginary parts separately

(1 + 1)i

(2)i

Thus, the solution to the imaginary number given above is 2i.

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Full Question:

Express the given complex number in the form a + ib: i⁹ - i¹⁹

Answer:

  see below

Step-by-step explanation:

There are some subtleties here.

Drawing conclusions

When conclusions are drawn based on patterns, it is called inductive reasoning. When those conclusions are drawn based on facts, it is called deductive reasoning.

Theories and proofs

When a pattern is observed, it gives rise to a conjecture. If there is a counterexample, then the conjecture must be declared false. If an argument can be made based on logic, then the conjecture is said to have a proof. A proven conjecture (statement) can then be referred to as a theorem.

Jerry can do the job in 140 minutes by himself

Tom can do a Job in 140 minute

In 1 minute tom can do 1/140 of the job

Tom and Jerry can together do the job in 70 minutes

In 1-minute tom and jerry can do 1/70 of the job

At 1 minute:

1/70 of the job = 1/140 of the job + Job done by Jerry in 1 minute

1/70 - 1/140 = Job done by Jerry in 1 minute

1/140 = Job done by Jerry in 1 minute

To complete the full job Jerry needs 140 minutes

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Answer:

8/9

Step-by-step explanation:

you will add 4 to both sides and minus 14x from both sides making it 18x= 16 divided 18 from both sides with will be 16/18 but simplify it and it will be 8/9

Answer:

8

9

Step-by-step explanation:

A large population with a sample size of 30 or more has the smallest standard deviation, as the standard deviation is inversely proportional to the sample size. A smaller standard deviation indicates more consistent data. To minimize the standard deviation, the sample size depends on the population's variability, with larger sizes needed for highly variable populations.

If the population is large, a sample size of 30 or more will give the smallest standard deviation to the statistic. The reason for this is that the standard deviation of the sample mean is inversely proportional to the square root of the sample size.

Therefore, as the sample size increases, the standard deviation of the sample mean decreases.To understand this concept, we need to first understand what standard deviation is. Standard deviation is a measure of the spread of a dataset around the mean. A small standard deviation indicates that the data points are clustered closely around the mean, while a large standard deviation indicates that the data points are more spread out from the mean. In other words, a smaller standard deviation means that the data is more consistent.

when we are taking a sample from a large population, we want to minimize the standard deviation of the sample mean so that we can get a more accurate estimate of the population mean. The sample size required to achieve this depends on the variability of the population. If the population is highly variable, we will need a larger sample size to get a more accurate estimate of the population mean. However, if the population is less variable, we can get away with a smaller sample size.

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Answer:

The value of x is 8.1

Step-by-step explanation:

We can use SOH CAH TOA to find our answer.

In this acronym, O is the opposite side, A is the adjacent side, and H is the hypotenuse. S is for the SIN function. C is for the COS function. T is for the TAN function.

We can calculate the length of the string by using the COS function.

So we can say the tangent of angle \(\beta\) is the opposite side divided by the adjacent side.

\(tan( \beta)=\frac{O}{A}\)

We are given the angle and the opposite side. We are looking for the adjacent side.

Lets solve for \(A\).

Take the reciprocal of both sides.

\(\frac{1}{tan(\beta)} =\frac{A}{O}\)

Multiply both sides by \(O\).

\(\frac{1}{tan(\beta)} *O=A\)

We are given

\(\beta=56\textdegree \\O=12\)

\(\frac{1}{tan(56)} *12=A\)

\(A=8.0941022\)

To find all points with a specific x-coordinate, you need to have the equation of the curve or the data points representing the graph. If you have an equation, you can substitute the desired x-coordinate into the equation and solve for the corresponding y-coordinate.

If you have data points, you can look for the points that have the specified x-coordinate.

For example, let's say you have the equation of a line: y = 2x + 3. If you want to find all points with an x-coordinate of 5, you can substitute x = 5 into the equation to find y. In this case, y = 2(5) + 3 = 13. So the point (5, 13) has an x-coordinate of 5.

to find points with a specific x-coordinate, you need the equation of the curve or the data points. You can substitute the desired x-coordinate into the equation or look for the points that have the specified x-coordinate in the given data.

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Answer: x = 5, -5

Step-by-step explanation:

Solve using the quadratic formula.

Answer:

D is the answer

Step-by-step explanation:

10 is multiple of 5 and 40 is the multiple of 8

50 is the multiple of 5

Please mark as brainliest answer

Based on the line of best fit, the approximate maximum depth of a lake that has 31 miles of shoreline is; 142.968 ft

The line of best fit is defined as a straight line which is drawn to pass through a set of plotted data points to give the best and most approximate relationship that exists between such data points.

Now, we are given a table of values that shows the total shoreline in miles which will be represented on the x-axis and then the maximum depth of several area lakes which will be represented on the y-axis.

However, when the geologist found the graph, she arrived at an equation of best fit as;

y = 4.26x + 10.908.

Thus, for 31 miles of shoreline, the approximate maximum depth is;

Approximate maximum depth = 4.26(31) + 10.908.

Approximate maximum depth = 142.968 ft

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Answer:

143 feet

Step-by-step explanation:

its technically 142 and change but edmentum rounds up

Answer:

21 / 252

Step-by-step explanation:

Recall : nCr = n! ÷ (n-r)!r!

The total possible outcome ; 5 questions out of 10

10C5 = 10! ÷ 5!5! = (10*9*8*7*6)÷(5*4*3*2*1) = 252

Required outcome :

All 5 questions set being from the 7 questions covered and 0 from the 3 left uncovered

7C5 * 3C0

7C5 = 7! ÷ 2!5! = (7*6) ÷ (2*1) = 21

3C0 = 3! ÷ 3!0! = 1

Probability = required outcome / Total possible outcomes

P(All 5 questions prepared for appears) :

[7C5 * 3C0] ÷ 10C5

(21 * 1) / 252

= 21 / 252

Answer:

Let A (2a, 4a)

     B(2a, 6a)

    C (2a + sqrt (3a), 5a)

Side AC:

\(\sqrt{(2a+\sqrt{3a}-2a)^2+(5a-4a)^2 }=\sqrt{3a+a^2}\)

Side BC:

\(\sqrt{(2a+\sqrt{3a}-2a)^2+(5a-6a)^2 }=\sqrt{3a+a^2}\)

Hence AC = BC

It is an isoceles triangle.

Side AB:

\(\sqrt{(2a-2a)^2+(6a-4a)^2 }=\sqrt{2a^2}=2a\)

It proves that the triangle is NOT an equilateral triangle.

Given:

Cost of general admission is 9 dollars.

Cost of each ride is 3.5 dollars.

First, let's find the cost equation for the given conditions.

Let's fill the given table.

Cost for 5 rides is,

Hence, the cost for 5 rides is $26.5.

Similarly, cost for 8 rides is,

Hence, the cost for 8 rides is $37.

Then, the cost for 14 rides will be,

Hence, the cost for 14 rides is $58.

Answer:

The slope is 3.75 OR 3 3/4.

Step-by-step explanation:

So the formula for slope I am using NOW, is based on the variables I named my dimensions. WARNING: NOT SLOPE FORMULA YOU MIGHT BE USING

y = 95 - 80

x = 10 - 6

Slope Formula: y/x

Substituted Slope Formula: (95 - 80)/(10 - 6)

Simplified Substituted Slope Formula: 15/4 OR 3.75

Hope this helps!!

Answer:

15/4

Step-by-step explanation:

I checked ;)

perimeter=2(85)+π(12.5)=220+2×12.5π

=170+25×3.14

=170+78.5

=248.5

distance ran=3×248.5=745.5 yards.

i hope this work for you

Answer:

5150

Step-by-step explanation:

120000/3= 40000

40000*.12875= 5150

To calculate the enthalpy change (ΔH) for the given reaction using the formation chart, you need to sum up the enthalpy of formation of the products and subtract the sum of the enthalpy of formation of the reactants.

The enthalpy of formation (ΔHf) values for the compounds involved in the reaction are as follows:

ΔHf(NH3(g)) = -46.1 kJ/mol

ΔHf(CO2(g)) = -393.5 kJ/mol

ΔHf(CO(NH2)2(s)) = -107 kJ/mol

ΔHf(H2O(l)) = -285.8 kJ/mol

Now, let's calculate the enthalpy change:

ΔH = [ΔHf(CO(NH2)2(s)) + ΔHf(H2O(l))] - [2 * ΔHf(NH3(g)) + ΔHf(CO2(g))]

ΔH = [-107 kJ/mol + (-285.8 kJ/mol)] - [2 * (-46.1 kJ/mol) + (-393.5 kJ/mol)]

ΔH = -392.8 kJ/mol - [-92.2 kJ/mol - 393.5 kJ/mol]

ΔH = -392.8 kJ/mol + 92.2 kJ/mol + 393.5 kJ/mol

ΔH = -152.9 kJ/mol

Therefore, the enthalpy change (ΔH) for the given reaction is -152.9 kJ/mol.

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Answer:

2x+3y=4 I don't know the variables so I use x and y

Answer:

Down below

Step-by-step explanation:

a. The range of y = sinθ is [-1,1]

b. The period of y = cosθ is 2π

c. The asymptotes of y = tanθ are -π2, π2, πn

d. The amplitude of y = sinθ is 1

e. The period of y = tanθ is π

f. The max value of y = cosθ is 1

Answer: 400 meters per minute.

Formula to find average speed: total time / total distance

Total time taken is 2+4+1+3 which is 10 minutes.

Total distance traveled is 4 kilometers.

(Unitary method)

In 10 minutes Marco runs 4 kilometers.

In 1 minute Marco will run 4/10 (0.4)kilometers.

Now to convert 0.4 kilometers to meters,multiply it by 1000.

0.4 * 1000 is 400 meters

so the final answer is he will run 400 meters in 1 minute.

(a) Isla's trading cards are 125% of Lily's trading cards.

(b) Lily's trading cards are 80% of Isla's trading cards.

Given that,

There are 225 trading cards and Lily has 180 trading cards.

To calculate the percentage of Isla's trading cards compared to Lily's,

We can use this formula:

⇒ Isla's trading cards / Lily's trading cards x 100%

Plugging in the values we get:

⇒ (225 / 180) x 100% = 125%

Therefore,

Isla's trading cards are 125% of Lily's trading cards.

b) To calculate the percentage of Lily's trading cards compared to Isla's, we can use the formula:

⇒ Lily's trading cards / Isla's trading cards x 100%

Plugging in the values we get:

(180 / 225) x 100% = 80%

Therefore,

Lily's trading cards are 80% of Isla's trading cards.

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Answer:

B

Step-by-step explanation:

-3 squared is 9

9 -(-3) =12

Answer:

Oops I was wrong the first time it's actually -6, first choice

Step-by-step explanation:

Just plug in -3, so x will now be -3

f(-3)=-3^2-(-3) = -(3)^2-(-3) = -9+3 = -6

It's -6 as the equation did not parentheses -3 together so you can only multiply 3

The mean, variance, and standard deviation of the data set 12, 3, 2, 4, 5, 7 are 5, 2.25, and 1.5, respectively.

The mean is the average of the data set. To find the mean, we add up all the numbers in the data set and then divide by the number of numbers in the data set. In this case, the mean is (12 + 3 + 2 + 4 + 5 + 7) / 6 = 5.

The variance is a measure of how spread out the data is. To find the variance, we first find the squared deviations from the mean for each number in the data set. In this case, the squared deviations from the mean are (7 - 5)² = 4, (2 - 5)² = 9, (3 - 5)² = 4, (4 - 5)² = 1, and (5 - 5)² = 0. We then add up all the squared deviations from the mean and divide by the number of numbers in the data set. In this case, the variance is (4 + 9 + 4 + 1 + 0) / 6 = 2.25.

The standard deviation is the square root of the variance. In this case, the standard deviation is √2.25 = 1.5.

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Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.

Distance is the movement of an object regardless of direction. The distance can be defined as the amount of length an object has covered, regardless of its starting or ending position

We know that r × t = d

r = rate of speed

t = time

d = distance

For the motor boat

9 × t = d = rate × time

For the tour boat

27 × (t - 2) = d = rate × time

When they both cover the same distance in the same amount of time, they will eventually cross paths.

They both cover the same d-mile distance, so:

9 ×t = 27 × (t - 2)

Simplify to get:

9 × t = 27 × t - 54

18 t = 54

t = 3

The motor boat will have traveled at 9 mph for 3 hours to make a distance of 9 × 3 = 27 miles.

The tour boat will have traveled at 27 mph for 1 hour to make a distance of 1 × 27 = 27 miles.

Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.

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The total spending figures indicate that Joe's demand for pizza is elastic as his total spending decreases when the price decreases, suggesting he is responsive to price changes.

a. The demand curve for Joe's pizza can be plotted by using the equation Q = 30 - 2P, where Q represents the quantity of pizza consumed and P represents the price per slice.

On the graph, the vertical axis represents the price (P), and the horizontal axis represents the quantity (Q). The vertical intercept occurs when Q is 0, which corresponds to P = 15. The horizontal intercept occurs when P is 0, which corresponds to Q = 30.

b. The total spending on pizza at P = 5 is $100, and the total spending at P = 4 is $88. This information indicates that Joe's total spending decreases as the price of pizza decreases.

Based on this, we can infer that Joe's elasticity of demand for pizza between P = 5 and P = 4 is elastic. When the price decreases from $5 to $4, the total spending decreases, indicating that the demand is responsive to price changes.

c. When P = 9, we can substitute this value into the demand function to calculate the corresponding quantity: Q = 30 - 2(9) = 30 - 18 = 12. To calculate Joe's consumer surplus, we need to find the area of the triangle formed by the demand curve and the price line.

The consumer surplus is given by (1/2) ˣ  (9 - P) ˣ  Q = (1/2) ˣ (9 - 9) ˣ  12 = 0.d. If the price of pizza rises to $15 per slice, we can again substitute this value into the demand function to find the corresponding quantity: Q = 30 - 2(15) = 30 - 30 = 0.

Joe's consumer surplus at this new price would be zero since he is not consuming any pizza at that price, resulting in no surplus.

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The vertex form of the equation y = -x^2 + 4x - 1 is y = -(x - 2)^2 + 3

The quadratic equation is given as:

y = -x^2 + 4x - 1

Differentiate the above quadratic equation.

This is done with respect to x by first derivative

So, we have:

y' = -2x + 4

Set the derivative to 0

-2x + 4 = 0

Subtract 4 from both sides of the equation

-2x + 4 - 4 = 0 - 4

Evaluate the difference in the above equation

-2x = -4

Divide both sides of the above equation by -2

x = 2

Rewrite as

h = 2

Substitute 2 for x in the equation y = -x^2 + 4x - 1

y = -2^2 + 4 *2 - 1

Evaluate the equation

y = 3

Rewrite as:

k = 3

A quadratic equation in vertex form is represented as:

y = a(x - h)^2 + k

So, we have:

y = a(x - 2)^2 + 3

In the equation y = -x^2 + 4x - 1, a = -1

So, we have:

y = -(x - 2)^2 + 3

Hence, the vertex form of the equation y = -x^2 + 4x - 1 is y = -(x - 2)^2 + 3

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