If the real roots of the equation 3x4 – 6x3 + 3x2 – 54x – 216 = 0 are –2 and 4, what are the nonreal roots?
–3i, 3i Negative 3 I
StartRoot 3 EndRoot, 3 i StartRoot 3 EndRoot
. –9i, 9i
Negative 6 i StartRoot 6 EndRoot, 6 i StartRoot 6 EndRoot.

Commutative property

commutative if changing the order of the operands does not change the result.

Answer:

2 Pi

Step-by-step explanation:

Notice that the shape is made of:

● 1 square with a side of 1 meter length

● 4 half-circles wich means 2 cicles with a diameter lf 1 meter.

■■■■■■■■■■■■■■■■■■■■■■■■■■

The square is inside so it isn't necessary to calculate the perimeter.

The perimeter of a circle is:

P' = d × Pi

We have 4 half-squares wich means two circles

So the total perimeter is:

● P = 2×P'

● P = 2 × d × Pi

● P = 2 × 1 × Pi

● P = 2Pi

The z-score boundaries at an alpha level alpha = .05 area) a. z = 196 and z = -1.96.

When a researcher sets alpha = .05, it means that she is willing to accept a maximum probability of 5% or less of rejecting the null hypothesis when it is actually true. This is known as the significance level or alpha level.

To identify the z-score boundaries that separate the extreme samples from the samples that are more obviously consistent with the null hypothesis, we use the standard normal distribution table or a calculator.

At an alpha level of .05, the z-score boundaries are at 1.96 on the positive side and -1.96 on the negative side of the distribution. This is because the critical region is split across both tails of the distribution. Therefore, the correct answer is a) a. z = 196 and z = -1.96.

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The first law of thermodynamics, mathematically expressed as:

ΔU = Q - W

Where:

ΔU represents the change in internal energy of the system,

Q represents the heat added to the system, and

W represents the work done by the system.

The first law of thermodynamics, also known as the law of energy conservation, states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system.

The term "internal energy" (ΔU) refers to the total energy possessed by the system, including the kinetic and potential energy of its molecules. It is a measure of the system's thermal energy.

The term "heat" (Q) represents the transfer of energy between the system and its surroundings due to temperature difference. It is a form of energy transfer that occurs spontaneously from higher temperature regions to lower temperature regions.

The term "work" (W) represents the energy transfer resulting from forces applied to the system, causing displacement. It can take different forms, such as mechanical work, electrical work, or expansion work.

For different scenarios, the explicit form of the energy balance equation can be derived by considering the specific types of work and heat involved in the system. By drawing appropriate schematics, one can identify the relevant forms of work and heat transfer. Examples include:

Adiabatic Process: In this scenario, no heat transfer occurs (Q = 0). The energy balance equation simplifies to ΔU = -W, where the work done by the system contributes to the change in internal energy.

Isothermal Process: In this case, the temperature remains constant (ΔU = 0). The energy balance equation becomes Q = W, indicating that the heat added to the system is fully converted into work.

Isobaric Process: Here, the pressure remains constant. The energy balance equation can be written as ΔU = Q - PΔV, where P is the constant pressure and ΔV is the change in volume. This equation accounts for both heat transfer and work done against the constant pressure.

Therefore, by applying appropriate schematics and considering the specific conditions of a given scenario, one can deduce the explicit form of the energy balance equation and understand the interplay between heat, work, and the change in internal energy.

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We need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit which is compounded semi-annually.

To solve this problem, we can use the formula for the future value of an annuity:

\(FV = P * ((1 + r)^n - 1) / r\)

Where:

FV is the future value of the annuity

P is the periodic payment or deposit amount

r is the interest rate per period

n is the number of periods

In this case, the deposit amount is $726.56, the interest rate is 6.45% compounded semi-annually, and the future value is $31,300. We need to find the number of deposits (n).

We can rearrange the formula and solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Substituting the given values:

n = log((31,300 * 0.03225) / (726.56 * 0.03225 + 31,300)) / log(1 + 0.03225)

Using a calculator or software, we find that n ≈ 9.989.

Therefore, we need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit.

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Answer:

it should be 8x + 3(20 - x) = 5(20)

The probability that at least eight out of ten adults in the random survey have been in a museum is approximately 0.905, or 90.5%.

The probability of at least eight adults out of a random survey of ten adults having been in a museum can be calculated using the binomial probability formula. Let's denote the probability that an adult was never in a museum as "p" (15%) and the probability that an adult has been in a museum as "q" (85%).

To find the probability of at least eight adults out of ten having been in a museum, we need to sum the probabilities of exactly eight, exactly nine, and exactly ten adults having visited a museum.

Let's calculate each probability individually and then add them together:

Probability of exactly eight adults (k = 8):

P(X = 8) = (10 choose 8) * (0.85^8) * (0.15^2)

Probability of exactly nine adults (k = 9):

P(X = 9) = (10 choose 9) * (0.85^9) * (0.15^1)

Probability of exactly ten adults (k = 10):

P(X = 10) = (10 choose 10) * (0.85^10) * (0.15^0)

To calculate these probabilities, we can use the binomial coefficient formula, which is (n choose k) = n! / (k! * (n - k)!). In this case, n is 10, and k varies from 8 to 10.

Calculating each probability:

P(X = 8) = (10 choose 8) * (0.85^8) * (0.15^2)

P(X = 9) = (10 choose 9) * (0.85^9) * (0.15^1)

P(X = 10) = (10 choose 10) * (0.85^10) * (0.15^0)

Once we have these values, we can add them together to obtain the probability of at least eight adults having been in a museum:

P(X ≥ 8) = P(X = 8) + P(X = 9) + P(X = 10)

Now, let's calculate these probabilities:

P(X = 8) = (10 choose 8) * (0.85^8) * (0.15^2) ≈ 0.3117

P(X = 9) = (10 choose 9) * (0.85^9) * (0.15^1) ≈ 0.3874

P(X = 10) = (10 choose 10) * (0.85^10) * (0.15^0) ≈ 0.2059

Finally, adding these probabilities together:

P(X ≥ 8) = 0.3117 + 0.3874 + 0.2059 ≈ 0.905

Therefore, the probability that at least eight out of ten adults in the random survey have been in a museum is approximately 0.905, or 90.5%.

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Answer:

The second one is (3 x 3 x 3 x 3) x (3 x 3)

Step-by-step explanation:

Answer:

13 (i think)

Step-by-step explanation:

Answer:

P = 17

Step-by-step explanation:

3y – 2 = y + 4

3y -2 (+2) = y + 4 (+2)

3y = y + 6

3y (-y) = y (-y) + 6

2y = 6

2y / 2 = 6 / 2

Y = 3

PR = 3y – 2

PR = 3(3) – 2

PR = 9 – 2

PR = 7

P of PQR = 4 + 6 + 7

P of PQR = 17

Answer: Always True

Step-by-step explanation:

Yellow: 25.71% chance of you grabbing a yellow jelly bean

Green:34.29% chance of you grabbing a green jelly bean

Red: 40% chance of you grabbing a red  jelly bean

Answer:

x=-2

but it's sample space is 33 in the sequence

therefore

the p(a)=-2/33

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Isolate n to solve the problem.

1. Subtract 2 from both sides to cancel out 2 on the left side of the equation.

3n = 12

2. Divide by 3 to get n by itself.

n=4

The cube root of 126.2 is approximately 0.016 larger than the cube root of 125.

Linear approximation is a strategy for approximating the values of complicated functions. When a graph is relatively straight, this approximation is quite effective. A linear approximation for a function is a straight line that represents a close approximation of the original function.

The formula to be used is given by

df/dx = (f(x+dx)-f(x))/dx

The first derivative of the cube root of x can be computed as follows:

f(x) = x^(1/3)

df/dx = (1/3)*x^(-2/3)

Using this formula, we can calculate the linear approximation of the cube root of 126.2. This can be done as follows:

f(x + dx) ≈ f(x) + df/dx * dx

In the given case, the f(x) = ∛125 ⇒ 5

Let dx = 126.2 - 125 ⇒ 1.2

Then the linear approximation of the cube root of 126.2 is given by

f(126.2) ≈ f(125) + df/dx * dx

⇒ f(126.2) ≈ 5 + (1/3)*125^(-2/3) * 1.2

⇒ f(126.2) ≈ 5 + 0.016

⇒ f(126.2) ≈ 5.016

Therefore, the cube root of 126.2 is roughly 0.016 greater than the cube root of 125.

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Answer:

780

Step-by-step explanation:

the answer is 780

Answer: 780

Step-by-step explanation:

Answer: x > -12

Step-by-step explanation:

A right-angle triangle has an adjacent side of 8mm, and the opposite side has 3mm. The angle opposite the adjacent side of 8mm is 20.56 degrees.

In SOHCAHTOA, which stands for Sin Opposite Hypotenuse Cos Adjacent Hypotenuse Tan Opposite Adjacent, there are three trigonometric ratios. These ratios are as follows:

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

We are given the adjacent side of the triangle, which is 8mm, and the opposite side of the triangle, which is 3mm. We have to determine the angle using SOHCAHTOA.

Let's look at each ratio separately to determine which one can be used:

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

Since we are given the adjacent side and we are looking for the angle that is opposite to the adjacent side, we need to use the tangent ratio. Using the formula, we have:

Tangent = Opposite / Adjacent

Tan A = Opposite / Adjacent = 3 / 8

Using a scientific calculator, the inverse tangent of 3/8 is 20.56 degrees.

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Send your request via email on the company mail, include your name, employee ID number, and the W2 you are asking for the particular year.

For more than a century, Walgreens has operated on the same set of values: Honesty, Trust, and Integrity with Our Customers, Our Shareholders, Our Suppliers, The Communities We Serve, and Among Ourselves.

Quality via dependable and consistent advice, goods, and services at all points of contact and through all channels.

kind, sensitive, and motivated to provide excellent service and a positive patient and customer experience in order to achieve healthy outcomes.

via service, knowledge, and the personal engagement of each member of the Walgreen team, a strong commitment to and presence in the community.

All products under the Walgreens brand come with a 100% satisfaction guarantee! Return the unused amount if you're not entirely happy, and we'll refund the entire purchase price.

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The angle the ladder makes with the ground is approximately 58.1 degrees.

We can utilize geometry to find the point that the stepping stool makes with the ground. We should call the point we need to find "theta" (θ).

In the first place, we can draw a right triangle with the stepping stool as the hypotenuse, the separation from the wall as the contiguous side, and the level the stepping stool comes to as the contrary side. Utilizing the Pythagorean hypothesis, we can track down the level of the stepping stool:

\(a^2 + b^2 = c^2\)

where an is the separation from the wall (6 m), b is the level the stepping stool ranges, and c is the length of the stepping stool (11 m). Improving the condition and settling for b, we get:

b = \(\sqrt (c^2 - a^2)\) = \(\sqrt(11^2 - 6^2)\) = 9.3 m

Presently, we can utilize the digression capability to track down the point theta:

tan(theta) = inverse/contiguous = b/a = 9.3/6

Taking the converse digression (arctan) of the two sides, we get:

theta = arctan(9.3/6) = 58.1 degrees (adjusted to one decimal spot)

Subsequently, the point that the stepping stool makes with the ground is around 58.1 degrees.

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Step-by-step explanation:

this is your answer..........

The coordinates of the specified vertex after the given sequence of transformations is given by;

Q' = (3, -3).

In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated up simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image or parent function.

Mathematically, a horizontal translation to the right is modeled by this mathematical expression g(x) = f(x + N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.

Where:

By translating the coordinate Q (1, 3) two (2) units to the right, we have the following:

Coordinate Q (1, 3) → Coordinate Q' (1 + 2, 3) = Q (3, 3)

In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate would change from positive to negative. Therefore, a reflection over the x-axis is given by this transformation rule:

(x, y)      →       (x, -y)

Coordinate Q' (3, 3) → (3, -3).

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Answer:

hey I am not about what the question says but I think this is the answer:

3r=p+5

so the subject is 3r

Answer:

306 dollars

Step-by-step explanation:

Problem has 25.50 per which means you multiply by 25.50.

Each ticket cost 25.50 so,

12 x 25.50 is 306

Answer:

306

Step-by-step explanation:

Multiply 12 * 25.5 to get the total cost since each ticket is $25.5 and you have 12 tickets.

Mrs. Richardson makes a profit of $21.33 from each flower arrangement for the wedding.

To calculate the profit, we subtract the cost from the selling price. Mrs. Richardson's cost for arranging the bouquet is $13.67, and she charges the bride $35 for the arrangement.

Profit = Selling Price - Cost

Profit = $35 - $13.67

Profit = $21.33

Therefore, Mrs. Richardson makes a profit of $21.33 from each flower arrangement for the wedding.

In this scenario, the profit is calculated by subtracting the cost of arranging the bouquet from the selling price. The cost incurred by Mrs. Richardson is $13.67, which includes the expenses for materials, labor, and any other associated costs. On the other hand, the selling price is $35, which is what the bride pays for the arrangement.

By subtracting the cost from the selling price, we find that the profit per arrangement is $21.33. This means that Mrs. Richardson earns $21.33 for each bouquet she arranges for a wedding, after covering her costs.

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The problem situation that can be represented by this inequality is A. Charles and Victor went to a comic store and purchased some comic books. Charles purchased c comic books for $12.50 each and then spent $25.00 on a comic book portfolio. Victor sold a vintage comic book to the store for $95.00 and then purchased c more comic books for $22.50 each. How many comic books, c, would each boy purchase if Charles’ total amount due is greater than or equal to Victor’s total?

It should be noted that an inequality is used to illustrate the expressions that are not equal.

In this case, it should be noted that the inequality given is illustrated as 25 + 12.50c ≥ 22.50c − 95.

Therefore, the information that illustrates this is that Charles and Victor went to a comic store and purchased some comic books. Charles purchased c comic books for $12.50 each and then spent $25.00 on a comic book portfolio. Victor sold a vintage comic book to the store for $95.00 and then purchased c more comic books for $22.50 each.

In conclusion, the correct option is A.

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Answer:

y = - 3, x = 8

Step-by-step explanation:

x - y = 11, x = 11 + y

Lets solve this equation with substitution: 3x + 10y = - 6

3(11+y)+10y=-6

33+3y+10y=-6

13y=-39

y = - 3

x - (-3) = 11

x + 3 = 11

x = 8

Answer:

use the first equation and solve for the variables

Step-by-step explanation:

for example, to solve for x add y on both sides x=11+y and substitute that to the equation

3(11+y)+10y=-6

that should give you -3

then go back to the equation x=11+y

x=11+(-3)

x=8

hope this helps!

If person A and person B have equal positive amounts of goods X and Y and person A values good X more than good Y and person B values good Y more than good X, there are mutually beneficial trades available.

Mutually beneficial trades are the kind of trades that benefit both parties in a trade agreement. A mutually beneficial trade occurs when two countries or individuals trade and both benefit from the transaction. In the case where person A and person B have equal positive amounts of goods X and Y and person A values good X more than good Y and person B values good Y more than good X, there are mutually beneficial trades available. This is because person A would be more willing to trade his good Y for Person B’s good X since person A values good X more than good Y and person B would be more willing to trade his good X for person A’s good Y since person B values good Y more than good X. In this way, both parties would benefit from the transaction because they would be trading the goods they value less for the ones they value more.

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The relation S={(a,b)∈R×R:a²+b²=1} is not an equivalence relation on the set of real numbers R.

To show that S is not an equivalence relation, we need to demonstrate that it fails to satisfy one or more of the properties of an equivalence relation: reflexivity, symmetry, and transitivity.

Reflexivity: For a relation to be reflexive, every element of the set should be related to itself. However, in the case of S, there are no real numbers (a, b) that satisfy the equation a² + b² = 1 for both a and b being the same number. Therefore, S is not reflexive.

Symmetry: For a relation to be symmetric, if (a, b) is related to (c, d), then (c, d) must also be related to (a, b). However, in S, if (a, b) satisfies a² + b² = 1, it does not necessarily mean that (b, a) also satisfies the equation. Thus, S is not symmetric.

Transitivity: For a relation to be transitive, if (a, b) is related to (c, d), and (c, d) is related to (e, f), then (a, b) must also be related to (e, f). However, in S, it is not true that if (a, b) and (c, d) satisfy a² + b² = 1 and c² + d² = 1 respectively, then (a, b) and (e, f) satisfy a² + b² = 1. Hence, S is not transitive.

Since S fails to satisfy the properties of reflexivity, symmetry, and transitivity, it is not an equivalence relation on the set of real numbers R.

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