Alice was provided with the following trinomial 3x2+7x-12x-34-2x2+10

The answer is Trapezoid

What is a Trapezoid?

A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides. The parallel sides of a trapezium are known as the bases, and its non-parallel sides are called legs. A trapezium can also have parallel legs.

Given data ,

The trapezoid cannot be mapped onto itself

The isosceles trapezoid has no rotational symmetry. There is no way to rotate it such that it can be mapped onto itself.

Square , Regular Hexagon and Regular Pentagon all have rotational symmetry

Hence , Trapezoid cannot be mapped onto itself

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The given trigonometric identity, sin(6π + x) = 21(cos(x) + 3sin(x)) is not verified.

Let us begin by simplifying the right side of the identity.

Let A = cos(x) + 3sin(x).

Then,A^2 = (cos(x) + 3sin(x)) = cos²(x) + 6sin(x)cos(x) + 9sin²(x)

Using the identity sin²(x) + cos²(x) = 1,

A^2 = 1 + 6sin(x)cos(x) + 8sin^2(x)

Divide both sides of the equation by 4.

(1/4)A²2 = (1/4) + (3/2)sin(x)cos(x) + 2sin²(x)

Now, we need to express the left-hand side of the equation in terms of A.

By using the addition formula of sin,

sin(6π + x) = sin(6π)cos(x) + cos(6π)sin(x)

Since sin(6π) = 0 and cos(6π) = 1,

sin(6π + x) = cos(x)

Thus, the given identity can be written as: cos(x) = 21A.

Therefore, sin(6π + x) = cos(x) = 21A.

sin(6π + x) = 21(cos(x) + 3sin(x))

Dividing both sides of the equation by 21.

1/21 sin(6π + x) = cos(x) + 3sin(x)/21

We have sin(6π + x) = cos(x) = 21A.

Substituting the value of cos(x) in the equation we got before.

1/21 sin(6π + x) = 21A + 3sin(x)/21

We know that A = cos(x) + 3sin(x).

Substituting the value of A in the above equation.

1/21 sin(6π + x) = 21(cos(x) + 3sin(x)) + 3sin(x)/21

Dividing both sides by 21

sin(6π + x) = cos(x) + 3sin(x)

This is not the verified identity.

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The probability of choosing the first letter of your first name from a bag of alphabet tiles with each letter included just once is 1 out of 26.

In this scenario, there are a total of 26 alphabet tiles in the bag, each representing a different letter. Since each letter is included only once, there is an equal chance of selecting any particular letter.

Therefore, the probability of choosing the first letter of your first name correctly is 1 out of 26, which can be represented as 1/26. This means that there is a 1 in 26 chance of randomly selecting the correct letter from the bag. Hence, option (b) 26 is the correct choice for the probability of choosing the first letter.

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Answer:

x = 5

Step-by-step explanation:

given B is the midpoint of AC , then

AB = BC ( substitute values )

4x - 3 = 2x + 7 ( subtract 2x from both sides )

2x - 3 = 7 ( add 3 to both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Answer:

85.71% chance of randomly selecting a student who owns at least one laptop or one desktop

Step-by-step explanation:

Out of a total of 70 students, only 10 own neither a laptop nor a desktop. This means that the probability of selecting a student with at least one of the two is \(\frac{60}{70}\) or \(\frac{6}{7}\).

If we convert this fraction into a percentage and round to the nearest hundredth, it equals:

85.71%

Answer:

6.4 units

Step-by-step explanation:

c = √(x1 - x2)^2 + (y1 - y2)^2

c = √(3 - 7)^2 + (-3 + 8)^2

c = √(-4)^2 + (5)^2

c = √16 + 25

c = √41

c = 6.4031...

c = 6.4

Answer:

Answer is A the highest number we can get is 12 so its potion A

The both highest numbers are 6 and, 6 6 +6 is 12 so its 0

Answer:

(a) The total number of technicians and packers in the factory is given to be 120. Therefore, we can write the equation:

x + y = 120

where x represents the number of technicians and y represents the number of packers.

(b) The total wages of three employees - two technicians and one packer - is given by:

2($100) + 1($60) = $260

To find the total wages of all technicians and packers, we can use the fact that the total number of technicians and packers is 120, and their total wages per day is $8400. Therefore, we can write another equation:

2($100) x + 1($60) y = $8400

where 2($100)x represents the total wages of all technicians and 1($60)y represents the total wages of all packers.

Step-by-step explanation:

Case 1: \(dz = \frac{\partial z}{\partial u}du + \frac{\partial z}{\partial x}dx + \frac{\partial z}{\partial y}dy\), Case 2: \(dz = \frac{\partial z}{\partial u}du + \frac{\partial z}{\partial x}dx + \frac{\partial z}{\partial w}dw\).

To find the total differential \(dz\) for each case, we can use the chain rule. Let's consider the two cases separately:

Case 1: \(z = z(u, x, y)\)
The total differential is given by:
\[dz = \frac{\partial z}{\partial u}du + \frac{\partial z}{\partial x}dx + \frac{\partial z}{\partial y}dy.\]

Case 2: \(z = z(u, x, w)\)
The total differential is given by:
\[dz = \frac{\partial z}{\partial u}du + \frac{\partial z}{\partial x}dx + \frac{\partial z}{\partial w}dw.\]

In both cases, we differentiate \(z\) with respect to each independent variable (\(u\), \(x\), \(y\) or \(w\)) and multiply it by the corresponding differential (\(du\), \(dx\), \(dy\), or \(dw\)).


This approach allows us to determine the total differential \(dz\) based on the given partial derivatives and differentials for each variable in the function \(z\).

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Answer:

-2 x 3/8 x 5/-7 =15/28

Step-by-step explanation:

-2 x 3/8 =  -3/4 x 5/-7=  15/28

Answer:

15/28 or 0.53571428

Step-by-step explanation:

The number of significant figures for each given value is as follows: 0.098200 has 5 significant figures, 1.68×10^4 has 3 significant figures, 78,000,120 has 9 significant figures, and 1.008 has 4 significant figures.

Significant figures represent the precision and accuracy of a number. They include all the digits that carry meaning in a measurement or calculation. In the case of 0.098200, all the digits are non-zero and are considered significant. Therefore, it has 5 significant figures.

For 1.68×10^4, the number is written in scientific notation. The digits before the multiplication sign represent the significand, which in this case is 1.68. The exponent of 10 indicates the number of places the decimal point is moved to obtain the actual value. In this case, it is 4, which means the decimal point is moved four places to the right. The significand, 1.68, has three significant figures, and the exponent of 10 does not affect the significant figures. Therefore, the value has 3 significant figures.

In 78,000,120, the zeros are considered significant because they are between nonzero digits. Hence, all the digits contribute to the significant figures, resulting in 9 significant figures.

Lastly, for 1.008, the trailing zero after the decimal point is significant, as it indicates precision. Therefore, it has 4 significant figures.

In summary, the number of significant figures for each given value is 0.098200 with 5 significant figures, 1.68×10^4 with 3 significant figures, 78,000,120 with 9 significant figures, and 1.008 with 4 significant figures.

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Answer:

868,412 visitors

Explanation:

434,206 x 2 (double)

Step-by-step explanation:

error

Polynomial error: You have used illegal character ( = )..

Step by Step Solution

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Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

49-((2+5)*2)=0

STEP

1

:

Equations which are never true:

1.1 Solve : 35 = 0

This equation has no solution.

A a non-zero constant never equals zero.

No solutions found

Answer:

9x/4 + 30 + 5x/4

Step-by-step explanation:

\(9x/4 +30 +5x/5\)

The simplification of the expression (9/4x + 6) - (- 5/4x - 24) will be 3.5x + 30.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

⇒ (9/4x + 6) - (- 5/4x - 24)

Simplify the expression, then we have

⇒ (9/4x + 6) - (- 5/4x - 24)

⇒ (9/4)x + 6 + (5/4)x + 24

⇒ (14/4)x + 30

⇒ 3.5x + 30

The simplification of the expression (9/4x + 6) - (- 5/4x - 24) will be 3.5x + 30.

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a. The replacement free cash flows is $255,000

b.  The Payback Period time required to recover the initial investment is 2.7778 years.

d. By calculating the NPV at various discount rates, we can determine the rate at which NPV is closest to zero.

a. To calculate the replacement free cash flows, we need to consider the cash flows associated with the new fleet of trucks. Here's the calculation:

Initial cash outflow: Purchase cost of new trucks + Shipping cost

= $350,000 + $50,000

= $400,000

Annual cash flows:

Operating cost savings:

Diesel fuel savings: $250,000 - $150,000 = $100,000

Maintenance cost savings: $35,000 - $10,000 = $25,000

Net operating working capital reduction: $20,000

Total operating cost savings per year: $100,000 + $25,000 + $20,000 = $145,000

Revenue increase:

Revenue growth rate: 10%

Year 1 revenue increase: $800,000 * 10% = $80,000

Year 2 revenue increase: $800,000 * 10% = $80,000

Year 3 revenue increase: $800,000 * 10% = $80,000

Year 4 revenue increase: $800,000 * 10% = $80,000

Year 5 revenue increase: $800,000 * 10% = $80,000

Salvage value: Market value of the new trucks at the end of 5 years = $30,000

Free cash flows:

Year 0: Initial cash outflow = -$400,000

Year 1: Cash flow = Operating cost savings + Revenue increase = $145,000 + $80,000 = $225,000

Year 2: Cash flow = Operating cost savings + Revenue increase = $145,000 + $80,000 = $225,000

Year 3: Cash flow = Operating cost savings + Revenue increase = $145,000 + $80,000 = $225,000

Year 4: Cash flow = Operating cost savings + Revenue increase = $145,000 + $80,000 = $225,000

Year 5: Cash flow = Operating cost savings + Revenue increase + Salvage value = $145,000 + $80,000 + $30,000 = $255,000

b. The Payback Period is the time required to recover the initial investment. To calculate it, we sum the cash flows until they equal or exceed the initial investment. Here's the calculation:

Payback Period = Number of years to recover initial investment

= 2 years (Year 1 cash flow + Year 2 cash flow)

+ (Remaining investment / Year 3 cash flow)

= 2 years + ($400,000 - $225,000) / $225,000

= 2 years + 0.7778 years

= 2.7778 years

c. To calculate the Net Present Value (NPV) and Profitability Index (PI), we need to discount the cash flows using the given discount rate of 15%. Here's the calculation:

Discount rate: 15%

Present value factor for each year:

Year 0: 1 / (1 + Discount rate)^0 = 1

Year 1: 1 / (1 + Discount rate)^1 = 0.8696

Year 2: 1 / (1 + Discount rate)^2 = 0.7561

Year 3: 1 / (1 + Discount rate)^3 = 0.6575

Year 4: 1 / (1 + Discount rate)^4 = 0.5718

Year 5: 1 / (1 + Discount rate)^5 = 0.4972

NPV calculation:

NPV = (Year 0 cash flow) + (Year 1 cash flow * Present value factor) + (Year 2 cash flow * Present value factor) + ...

= -$400,000 + ($225,000 * 0.8696) + ($225,000 * 0.7561) + ($225,000 * 0.6575) + ($225,000 * 0.5718) + ($255,000 * 0.4972)

Profitability Index calculation:

PI = NPV / Initial investment

= NPV / $400,000

d. To calculate the Internal Rate of Return (IRR), we find the discount rate that makes the NPV equal to zero. Here's the calculation:

IRR = Discount rate that makes NPV equal to zero

By calculating the NPV at various discount rates, we can determine the rate at which NPV is closest to zero.

e. Based on the information provided, we can determine if the fleet should be replaced by considering the Payback Period, NPV, Profitability Index, and IRR.

If the Payback Period is within the company's acceptable timeframe and the NPV is positive, or the Profitability Index is greater than 1, and the IRR exceeds the company's required rate of return, then replacing the fleet would be financially favorable. If any of these criteria are not met, it would indicate that the replacement may not be the best option.

Please note that the calculation of IRR requires further information, and the final decision should consider additional factors such as qualitative aspects, operational requirements, and strategic considerations.

Without the specific values for cash flows in each year, it is not possible to provide a definitive answer to whether the fleet should be replaced based on the given information.

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By the principle of mathematical induction, we have shown that if aR^n b, then aRb for all n ≥ 1.

We will prove by induction that if aR^n b, then aRb for all n ≥ 1.

Base case: For n = 1, we have aRb by definition of aR^nb.

Inductive step: Assume that for some k ≥ 1, if aR^k b, then aRb. We will show that if aR^(k+1) b, then aRb.

By definition of aR^(k+1) b, there exists an element x such that aR^k x and xRb. By the inductive hypothesis, we have aRx. Since R is transitive, we can combine aR^k x and aRx to obtain aR^(k+1) b. Therefore, we conclude that if aR^(k+1) b, then aRb.

By the principle of mathematical induction, we have shown that if aR^n b, then aRb for all n ≥ 1.

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The magnitude of the number of the minutes in the school is 2.

Although the order of magnitude of zero is not specified, it is occasionally stated to have a magnitude of. Zero is less than any other positive number, and so is its order of magnitude, according to this infinitely negative order of magnitude.

There can be no negative magnitude. The component of the vector that lacks direction is its length (positive or negative).

The order of magnitude is the approximate representation of the logarithmic of the order's value and is typically considered to be 10 taken as the base.

On a scale of 10 logarithmic, the difference in the order of magnitude can be quantified.

The value storage is where you may find the number into the various magnetic.

As a result, the number of minutes spent in school is 2.

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Complete question -

What is the Order of Magnitude of the number of minutes in a school day?

The correct representations of the inequality expression are (a) 6x – 15 > -10 + 5x and (c) 3(2x – 5) > -5(2 – x)

From the question, we have the following expression that can be used in our computation:

–3(2x – 5) < 5(2 – x)

Divide bot sides of the inequality by -1

So, we have the following representation

3(2x – 5) > -5(2 – x)

Next, we open the brackets

This gives

6x – 15 > -10 + 5x

Hence, the representation is 6x – 15 > -10 + 5x

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Complete question

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

(a) 6x – 15 > -10 + 5x

(b) 6x – 15 < -10 + 5x

(c) 3(2x – 5) > -5(2 – x)

(d) 3(2x – 5) < -5(2 – x)

Answer:

10.24

Step-by-step explanation:

128 x .08= 10.24

(the 8 in the equation is moved 2 places to the left because its a percentage)

In the given problem of percentage, 8 is 6.25\(\%\) of 128.

Percentage is a way of expressing a proportion or a relative value as a fraction of 100. It represents a portion or a fraction of a whole in terms of hundredths.

The term "percentage" comes from the Latin word "per centum," which means "per hundred."

The percentage is denoted using the symbol "\(\%\)". For example, 25\(\%\) means 25 out of 100, or 25 hundredths.

When working with percentages, it is often used to compare or represent ratios, proportions, or relative quantities. It provides a convenient way to express fractions or ratios in a standardized form.

Percentages are commonly used in various fields, such as finance, economics, statistics, and everyday situations involving ratios, discounts, interest rates, statistics, and probability. They provide a standardized way to express relative values and make comparisons across different quantities.

\(\frac{8}{128} \times 100\) = \(\frac{25}{4}\)\(\%\)

               = 6.25\(\%\).

So, the percentage of 8 out of 128 is 6.25\(\%\).

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Answer:

Step-by-step explanation:

No choice is given but here is the general interpretation.

Y-intercept is where the plot crosses the y-axia at x=0. In this case, x is T which represents number of TVs owned by the family. T=0 meaning there is no TV and B = 96.66 is the one month's electric bill in dollars for all other appliances in the home.

Given function

Now

Compare to slope intercept form y=mx+b

Here y intercept may be the fixed charge .

Answer:

\(\frac{68285}{44}\) or \(1551.93181818...\)

Step-by-step explanation:

\(\frac{9755}{2(\frac{22}{7})}\\\\\)

The required amount of money Braden's account will he have in 3 years is $931.70.

When the interest you earn on your savings starts to earn interest on itself, it is what is known as compound interest. As interest increases, it starts to accumulate more quickly and grows exponentially. The impact on your savings might be significant.

After 1 year, Braden's account will have grown to

= $770 ($700 + 10% of $700).

After 2 years, it will have grown to

= $847 ($770 + 10% of $770).

After 3 years, it will have grown to

= $931.70 ($847 + 10% of $847).

Rounding to the nearest cent, Braden will have $931.70 in 3 years.

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Answer:

can u give me the brainliest

the answer is in the attached documents

a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b. The probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c. Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:

The experiment consists of a fixed number of trials (eight shots).

Each trial (shot) has two possible outcomes: hitting the target or missing the target.

The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,

p is the probability of success in a single trial, and

n is the total number of trials.

In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.

P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)

The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:

P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.

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Answer:

611 divided by 78

Step-by-step explanation:

7.83333333333 round to 7.83

Answer:

2/5 (B)

Step-by-step explanation:

\(x^\frac{1}{y}=\sqrt[y]{x}\)

So:

\(\sqrt{\frac{4}{25}}=\frac{2}{5}\) because

\((\frac{x}{y})^z=\frac{x^z}{y^z}\)

Answer:

y=x+1

Step-by-step explanation:

The equation of a line is written in the form y=mx+c

c= y intercept which is 1

m= gradient which is also 1

so the equation is y=x+1

The taxpayer who would most likely benefit from an installment sale is Allan, who sold a business use car at a net gain that was less than the amount of depreciation.

An installment sale is a transaction in which the sales price is received over a period of time that spans more than one tax year. Installment sales may have tax advantages, which is why taxpayers should consider them.

The taxable profit in an installment sale is not calculated using the entire sales price. Instead, it is calculated by applying the gross profit percentage to each installment's payments received during the year. In general, if an installment sale meets the definition, the taxpayer reports income from the sale as the payments are received, rather than in the year of sale.

However, in some situations, taxpayers might choose to report the entire profit from an installment sale in the year of sale. In such instances, an election to do so must be made.

The difference between the sales price and the adjusted cost basis of the asset is known as the gain. The gain is reduced by selling expenditures to arrive at the net gain. Net gain occurs when the sales price of a commodity is higher than its cost of acquisition and other fees or expenses related to its purchase and sale.

Depreciation is a term used in accounting and finance to describe the systematic decrease in the value of an asset over time due to wear and tear. It is an expense that lowers a company's net income and lowers the value of an asset on the balance sheet.

Hence, Allan, who sold a business use car at a net gain that was less than the amount of depreciation, will most likely benefit from an installment sale.

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