What is the solution to y = x² + 5x – 2
y = 3x - 2

3.31×\(10^-^5\) g is equivalent to 0.0331 μg which is obtained by using the conversion factor.

To convert from grams to micrograms, we need to consider the conversion factor that relates the two units. The prefix "micro-" represents a factor of \(10^-^6\), which means there are 1,000,000 micrograms in a gram. Therefore, to convert grams to micrograms, we multiply the given value by 1,000.

In this case, we have 3.31×\(10^-^5\) g. To convert this value to micrograms, we can multiply it by 1,000:

= 3.31×\(10^-^5\) g × 1,000

= 3.31×\(10^-^5\) × 1,000

= 3.31×\(10^-^5\) × \(10^{3}\)

= 3.31×\(10^(^-^5^+^3^)\)

= 3.31×\(10^-^2\)

= 0.0331 μg

Therefore, 3.31×\(10^-^5\) g is equivalent to 0.0331 μg.

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a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

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A cargo ship left port A and is headed across the ocean to shipping port B. After one month, the ship stopped at a refueling station along a path described by a vector with components 〈14, 23〉. The characteristics of the vector representing the path of the ship are "components: 〈7, 11.5〉, magnitude: 13.46".

After another month, on the same path, the ship reached port B, twice the distance from port A as the fueling station. The distance between A and the fueling station is x units.

Then, the distance between B and the fueling station is 2x units.AB = 2x units. The fueling station is located at 〈14, 23〉. And A is located at (0, 0)Now we can calculate the distance between A and the fueling station using the distance formula.= √[(14 - 0)² + (23 - 0)²]= √(196 + 529)= √725= 26.92 approx.

After another month, on the same path, the ship reached port B, twice the distance from port A as the fueling station. The distance between A and the fueling station is 26.92 units. Then, the distance between B and the fueling station is 2 × 26.92 = 53.85 units.

Now we can calculate the vector AB using the below formula: AB = OB - OAwhere, OA = (0, 0)OB = (7, 11.5)

So, AB = OB - OA= (7, 11.5) - (0, 0)= (7, 11.5)

Magnitude of vector AB = √(7² + 11.5²)= √(49 + 132.25)= √181.25= 13.46 approx.

So, the correct answer is "components: 〈7, 11.5〉, magnitude: 13.46".

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Answer:

yes, -2/3 is a fraction

Step-by-step explanation:

N= -12

The DMM buys the stock from the floor broker who wants to sell; and then immediately sells that stock for $.01 more to the floor broker who wants to buy. This is an example of scalping or trading ahead.

Designated Market Maker (DMM) on the New York Stock Exchange (NYSE), the DMM has certain obligations and responsibilities to maintain fair and orderly markets for the stocks they oversee. They are expected to provide liquidity by facilitating trades and maintaining an orderly market.

However, in the scenario you provided, the DMM takes advantage of the situation by executing a trade with a floor broker who wants to sell ABC stock and immediately selling it to another floor broker who wants to buy at a slightly higher price. By doing so, the DMM profits from the price difference, earning an extra $.01 per share.

This practice goes against the principles of fair and orderly markets, as the DMM is essentially prioritizing their own profit over providing fair execution prices for buyers and sellers. It can be considered unethical and may be subject to regulatory scrutiny or penalties, as it undermines the integrity and fairness of the market.

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Answer:

D

Step-by-step explanation:

\(f(x)=\frac{1}{x+5} -1\\let~f(x)=y\\y=\frac{1}{x+5} -1\\flip~x~and~y\\x=\frac{1}{y+5} -1\\x+1=\frac{1}{y+5} \\y+5=\frac{1}{x+1} \\y=\frac{1}{x+1} -5\\f^{-1}(x)=\frac{1}{x+1} -5\\x+1\neq 0\\x\neq -1\)

Expectancy theory would best provide perspective on the question 'if i study for 12 hours, what is the probability that i'll get an on the exam?".

 Expectancy theory (expectancy theory of motivation) was put forward by Victor Vroom in 1964. Vroom put more emphasis on outcome factors, rather than needs as proposed by Maslow and Herzberg.

This theory states that the intensity of the tendency to perform in a certain way depends on the intensity of the expectation that performance will be followed by a definite outcome and on the attractiveness of the result to the individual.

Vroom argues that people will be motivated to do certain things to achieve goals if they believe that their actions will lead to the achievement of these goals.

There are three main assumptions of Vroom in expectancy theory.  These assumptions are as follows:

-Every individual believes that if he behaves in a certain way, he will get certain things.  This is called an outcome expectancy as a person's subjective assessment of the likelihood that a certain outcome will arise from that person's actions.

-Each outcome has value, or appeal to a particular person.  This is called valence (valence) as the value that people give to an expected result.

-Each outcome is associated with a perception of how difficult it is to achieve that outcome.  This is called effort expectancy as the possibility that one's efforts will result in the attainment of a certain goal.

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The largest prime factor that always divides the sum of the terms in the sequence is 37.

The sequence is finite and consists of three-digit integers.

The tens and units digits of each term are, respectively, the hundreds and tens digits of the next term, and the tens and units digits of the last term are, respectively, the hundreds and tens digits of the first term.

From the above property of the sequence, we can see that each digit at the units, tens as well as hundreds place will appear the same number of times in the sequence.

Let "x" be the sum of the digits at unit place in all the terms.

The sum of all the terms is "S".

S = 111*x

S = 3*37*x

We can clearly see that the sum "S" is divisible by 37.

Hence, the largest prime factor that always divides the sum of the terms in the sequence is 37.

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Answer:

Step-by-step explanation:

7d – 8 = 3d + 8

7d - 3d = 8 + 8

4d = 16

d = 16 /4

d = 4

The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.

The probability of adding either ground beef or onion as the first ingredient  0.25 or 25%.

If there are a total of 8 ingredients and 2 of them are either ground beef or onion, then the probability would be:

Probability = (Number of desired outcomes) / (Total number of possible outcomes)

           = 2 / 8

           = 1 / 4

           = 0.25

So, the probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%.

In this case, we have a total of 8 ingredients, out of which 2 are either ground beef or onion. When selecting the first ingredient, there are 8 possible outcomes. Since we want to calculate the probability of adding either ground beef or onion as the first ingredient, we count the number of desired outcomes, which is 2 (either ground beef or onion). Dividing the number of desired outcomes by the total number of possible outcomes gives us the probability.

The probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%. This means that there is a 25% chance that either ground beef or onion will be the first ingredient added, assuming the ingredients are added randomly without any specific order.

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La longitude del Puente entre loss punts A y B es de aproximadamente 97.9 metros.

Para calcular la longitud del puente entre los puntos A y B, podemos utilizar el teorema del seno en el triángulo OAB.

Primero,trazamos una línea vertical desde O hasta el segmento AB, creando un triángulo rectángulo OAD. La distancia entre A y O, medida en línea recta, es de 120 m.

Luego, utilizando el ángulo OAB, que mide 48 grados, y el ángulo ABO, que mide 32 minutos (o 32/60 grados), podemos encontrar el tercer ángulo del triángulo OAB aplicando la propiedad de que la suma de los ángulos de un triángulo es 180 grados.

El tercer ángulo del triángulo OAB será: 180 - 48 - (32/60) ≈ 101.467 grados.

Ahora, aplicamos el teorema del seno:

sen(OAB) / AO = sen(ABO) / BO

Despejando BO

BO = (AO * sen(ABO)) / sen(OAB)

Sustituyendo los valores conocidos:

BO = (120 * sen(48)) / sen(101.467) ≈ 120 * 0.7431 / 0.9933 ≈ 89.568 m

Por lo tanto, la longitud del puente que se quiere construir entre los puntos A y B es aproximadamente 89.568 metros.

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Solution (1):

\(0 > -2 + \dfrac{b}{7}\)

\(0 + 2 > \dfrac{b}{7}\)

\(2 > \dfrac{b}{7}\)

\(2 \times 7 > b\)

\(\boxed{\bold{14 > b}}\)

Solution (2):

\(\dfrac{v}{14} - 2 < -3\)

\(\dfrac{v}{14} < -3 + 2\)

\(\dfrac{v}{14} < -1\)

\(v < -1 \times 14\)

\(\boxed{\bold{v < -14}}\)

Solution (3):

\(13 < \dfrac{n}{4}+ 9\)

\(13 - 9 < \dfrac{n}{4}\)

\(4 < \dfrac{n}{4}\)

\(4 \times 4 < n\)

\(\boxed{\bold{16 < n}}\)

Solution (4):

\(138 > -6+9n\)

\(138 + 6 > 9n\)

\(144 > 9n\)

\(\dfrac{144 }{9} > \dfrac{9n}{9}\)

\(\boxed{\bold{16 > n}}\)

Solution (5):

\(-9 + \dfrac{x}{2} > -14\)

\(\dfrac{x}{2} > -14 + 9\)

\(\dfrac{x}{2} > -5\)

\(x > -5 \times 2\)

\(\boxed{\bold{x > -10}}\)

Solution (6):

\(-6 > -9 + \dfrac{k}{4}\)

\(-6 + 9 > \dfrac{k}{4}\)

\(3 > \dfrac{k}{4}\)

\(3 \times 4 > k\)

\(\boxed{\bold{12 > k}}\)

Solution (7):

\(-11 > \dfrac{a}{2} -2\)

\(-11 + 2 > \dfrac{a}{2}\)

\(9 > \dfrac{a}{2}\)

\(-9 \times 2 > a\)

\(\boxed{\bold{-18 > a}}\)

Answer:

A is 21!!

Step-by-step explanation:

Brainliest Please!

Answer:

Our problem is \(x^2-2x+6=0\), but as we can see, we are unable to factor. We have to use the quadratic equation to solve.

\(x^2-2x+6=0\)

\(\frac{-b+-\sqrt{b^2-4ac}}{2a}\)

Positive Quadratic Formula:

\(\frac{-(-2)+\sqrt{(-2)^2-4(1)(6)}}{2(1)}\)

\(=\frac{2+\sqrt{4-24}}{2}\\=1+\frac{\sqrt{-20}}{2}\)

Negative Quadratic Formula:

\(\frac{-(-2)-\sqrt{(-2)^2-4(1)(6)}}{2(1)}\)

\(=\frac{2-\sqrt{4-24}}{2}\\=1-\frac{\sqrt{-20}}{2}\)

Since both of our answers are the square root of a negative number, we know that the quadratic equation has no real solution.

*We could have also used the Discriminant Test to determine whether the quadratic equation has real roots or not. However, for our means, the quadratic equation seems enough.

Answer:

D. No real Solution

Step-by-step explanation:

Hello!

Let's use the quadratic formula: \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)

In our equation:

This comes from the standard form of a quadratic: \(ax^2 + bx + c\)

Now, solve:

Since the radicand (-5) is negative, there are no real solutions. The correct answer is Option D.

The probability that 5 hearts are chosen when 7 cards are drawn from a well-shuffled deck of 52 playing cards is option (d) 0.00000962.

Step 1: Determine the total number of ways to choose 7 cards from a deck of 52 playing cards, which can be calculated using the combination formula: C(52, 7) = 52! / (7! * (52 - 7)!), where "!" denotes the factorial.

Step 2: Determine the number of ways to choose 5 hearts from the deck. There are 13 hearts in a standard deck, so we can calculate the number of ways to choose 5 hearts from 13: C(13, 5) = 13! / (5! * (13 - 5)!).

Step 3: Calculate the probability by dividing the number of favorable outcomes (choosing 5 hearts) by the total number of possible outcomes (choosing 7 cards from the deck): P(5 hearts) = C(13, 5) / C(52, 7).

Step 4: Evaluate the probability numerically using a calculator or math software, and the result is approximately 0.00000962.

Therefore, the correct answer is option (d) 0.00000962.

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From the question the transformations that non-rigid is dilation. The correct answer is B.

Any transformation of a geometric object that alters the size but not the shape is referred to as a nonrigid transformation. Examples of non-rigid types of transformation include stretching and dilation. Any action taken on a shape is referred to as a metamorphosis.

Rigid transformation is When a figure undergoes a stiff transformation, its size and shape are left unaltered. Because the image is unchanged, stiff transformations include translations, rotations, and reflections.

As a result, a dilation is a non-rigid transformation because the size of the image is changing.

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Step-by-step explanation:

From "Wild: From Lost to Found on the Pacific Crest Trail," it can be inferred that Strayed prepared extensively for her hike on the Pacific Crest Trail. She researched the trail and gathered information from books, maps, and other hikers who had completed the trail. She also purchased and outfitted herself with necessary gear, such as a backpack, hiking boots, and camping equipment. She planned to sustain herself by carrying food and supplies and re-supplying at towns along the trail. Strayed also took steps to physically prepare herself, such as training by hiking in the local mountains. She also mentions the time and thought she put into the planning and preparation, stating "I'd spent months getting ready" (chapter 2).

Answer:I think its A.

Step-by-step explanation:

I'm too lazy too explain you got your answer please be happy

The new coordinates of Y and Z will be (-3, 9) and (3, 10), respectively.

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

In the direction plane, point X(0,2) is meant the point X(1,- 3).

The rule of the transformation is written as,

(1, -3) ⇒ (0, 2)

(1, -3) ⇒ (1 - 1, -3 + 5)

(x', y') ⇒ (x - 1, y + 5)

Then the translation of the point Y(-2, 4) will be given as,

(x'', y'') ⇒ (-2 - 1, 4 + 5)

(x'', y'') ⇒ (-3, 9)

Then the translation of the point Y(4, 5) will be given as,

(x''', y''') ⇒ (4 - 1, 5 + 5)

(x''', y''') ⇒ (3, 10)

The new coordinates of Y and Z will be (-3, 9) and (3, 10), respectively.

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The probability of getting the first two questions correct by randomly guessing is option D: 0.0625.

Since each question has four choices and you are randomly guessing, the probability of guessing the correct answer for each question is 1 out of 4, or 1/4 = 0.25.

To find the probability of getting both questions correct, we multiply the probabilities of each event since they are independent. So, the probability of getting the first question correct is 0.25, and the probability of getting the second question correct is also 0.25.

To find the probability of both events occurring, we multiply the individual probabilities:

P(both questions correct) = P(first question correct) * P(second question correct) = 0.25 * 0.25 = 0.0625.

Therefore, the probability of getting the first two questions correct by randomly guessing is 0.0625, which corresponds to option D.

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Answer:

53.9

Step-by-step explanation:

154x35=5390

5390÷100=53.9

Answer:

he is 324,120 old in hours

Step-by-step explanation:

convert the given years that's the answer 324,120

Answer:

324120

Step-by-step explanation:

There are 8760 hours in 1 year.

8760 x 37 years = 324120

Hope this helps.

Answer: x=14°

Step-by-step explanation:

All angles of a triangle added together is 180°. So we can add the angles together.

7x-11+5x-2+2x-3=180           [combine like terms]

14x-16=180                             [add both sides by 16]

14x=196                                  [divide both sides by 14]

x=14

Therefore, x=14°.

Answer:

Last answer: replace right side of the top equation with the y on the bottom

Step-by-step explanation:

A potential advantage of using a repeated-measures design is increased statistical power, while a potential disadvantage is the potential for order effects.

In a repeated-measures design, the same participants are measured on multiple occasions or under different conditions. This design offers several advantages, including increased statistical power. By using the same participants, individual differences are controlled for, reducing the variability and increasing the ability to detect meaningful effects. This increased power allows researchers to detect smaller, more subtle effects that may be missed in other designs.

However, one potential disadvantage of repeated-measures designs is the possibility of order effects. Order effects occur when the sequence or order in which the conditions are presented affects participants' responses. For example, participants may become fatigued or bored over time, leading to changes in their performance or attitudes. To mitigate order effects, counterbalancing techniques can be employed, such as presenting the conditions in different orders to different groups of participants.

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Answer:false

Step-by-step explanation: