"Using the graphing functions on your calculator, find the solutions to the system of equations shown below."y-2x=-2y-x= 1A. x=3, y=4b. more than one solution c. x=4, y=3d. no solution

The total number of ways to assign employees to desks is 720 (6!), and the number of favorable outcomes is 144. Therefore, the probability is 144/720 = 1/5.

The total number of ways to assign six employees to six desks is 6! (6 factorial), which equals 720. Now we need to find the number of ways that the married couple will not have adjacent desks.

First, we can treat the married couple as one entity, which means we have 5 entities to assign to 6 desks. There are 6 possible ways to choose the position of the married couple in the row. For each of these positions, we can then assign the other 4 entities to the remaining 4 desks in 4! ways.

Therefore, the total number of ways to assign employees to desks without the married couple having adjacent desks is 6 x 4! = 144.

The probability of this happening is the number of favorable outcomes (144) divided by the total number of possible outcomes (720), which is 144/720 = 1/5.



The probability that the married couple will not have adjacent desks when six new employees are randomly assigned to six desks that are lined up in a row is 1/5.

We calculated this probability by first treating the married couple as one entity and then finding the number of ways to assign the remaining entities to the desks without the married couple being adjacent to each other. The total number of ways to assign employees to desks is 720 (6!), and the number of favorable outcomes is 144. Therefore, the probability is 144/720 = 1/5.

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The given probability of having six girls in a six-child family is 0.015625. To determine the method used to compute this probability, we need to analyze the information provided.

The Classical method is based on theoretical assumptions and probabilities calculated using mathematical principles. It assumes equally likely outcomes and relies on counting favorable outcomes over the total number of possible outcomes.

The Empirical method involves gathering data from observations or experiments to estimate probabilities. It relies on observed frequencies and relative frequencies to compute probabilities. However, the given probability does not suggest a sample or data collection, making it unlikely that the Empirical method was used.

The Subjective method involves assigning probabilities based on personal judgment or opinions. Individuals subjectively evaluate the likelihood of an event based on their own beliefs or knowledge.

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Check the picture below.

we have three sides, let's look at the two smaller sides first.

check picture atop

if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side?  Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 8 - 3 = 5.  However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle.  So whatever the third side may be, it must be greater than 5.

check picture below

Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 3 + 8 = 11.  However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle.  So whatever the third side may be, it must be less than 11.

well, needless to say, the 16 cm side, is outside that range, so, hmmm no dice.

The vslue of the angle based on the information given will be 142°.

From the information given, it can be deduced that the shape has four sides. The total angles will be:

= (n - 2) × 180

= (4 - 2) × 180°

= 360°

The value of the last angle will be:

= 360° - (49° + 63° + 106°)

= 360° - 218°

= 142°

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Answer:

the stock is worth $110.21

Step-by-step explanation:

The first thing you want to do is multiply 0.07 and 103, to find out what 7% of 103 is. When you multiply those two numbers you are going to get 7.21. You are then going to add 103 and 7.21 to find out how much it would be worth now.

Answer:

$110.21

Step-by-step explanation:

well 7% of 103 is 7.21  so if you add that to 103 it = 110.21

A machine purchased 8 years ago for $76000 is worth $36000 today, we can calculate the value of the machine 3 years from now.

The exponential decay formula is given by: V = V0 * e^(-kt), where V is the value at time t, V0 is the initial value, k is the decay constant, and t is the time.

To find the decay constant, we can use the given information. Let's denote the decay constant as k. We know that after 8 years, the value of the machine is $36000, so we can set up the equation as follows:

36000 = 76000 * e^(-8k)

To solve for k, we divide both sides of the equation by 76000 and take the natural logarithm of both sides:

ln(36000/76000) = -8k

Simplifying further:

k ≈ 0.1023

Now we can calculate the value of the machine 3 years from now using the formula:

V = 76000 * e^(-0.1023*3)

Calculating this expression, we find that the value of the machine 3 years from now is approximately $48,478.06.

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Answer:

3x-6y

Step-by-step explanation:

3/4(4x-8y)

3/4×(4x-8y)

3/4×4(x-2y)

3×1(x-2y)

3x-6y

The probability of event A and event B is 6.

Given that, P(A)=6, P(B)=20 and P(A∩B)=6.

P(A/B) Formula is given as, P(A/B) = P(A∩B) / P(B), where, P(A) is probability of event A happening, P(B) is the probability of event B.

P(A/B) = P(A∩B) / P(B) = 6/20 = 3/10

We know that, P(A and B)=P(A/B)×P(B)

= 3/10 × 20

= 3×2

= 6

Therefore, the probability of event A and event B is 6.

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Therefore, the instantaneous rate of change of density of gas in the tank at t = 0 is -0.234 kg/m³s.

At t=0, the instantaneous rate of change of density of gas in the tank can be determined as follows:

Given that the gas passing through the rupture has a speed of 300 m/s and a density of 6 kg/m³.

Density of gas inside the tank, ρ1 = (mass of gas inside the tank) / volume of gas inside the tank = (mass of gas inside the tank) / V1

Let the gas inside the tank be compressed or expanded to volume V2.

Density of gas outside the tank, ρ2 = (mass of gas inside the tank + mass of gas coming out of the rupture) / (V1 + V2).

Let dm be the mass of gas coming out through the rupture in time dt, then dm = ρ2 * A * v * dt, where

A = 65 mm²

= 65 × 10^-6 m² and

v = 300 m/s.

Then we can write, d(ρ2 * (V1 + V2)) / dt = -dm/dt

We can find dm/dt by substituting the value of dm in the equation and then simplifying.

d(ρ2 * (V1 + V2)) / dt = -ρ2 * A * v

Since the gas inside the tank is at equilibrium, the rate of change of its density with respect to time is 0.

Therefore, we can write,d(ρ1 * V1) / dt = ρ2 * A * v

Simplifying the above equation, we get, dρ1 / dt = -ρ2 * A * v / V1

= -6 * 65 × 10^-6 * 300 / 0.05

= -0.234 kg/m³s

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There will be 0.84% chances that resulting sequence in cat to occur.

Total number of nucleotides floating around = 10

Let the event of picking cat be "A"

Number of cat in group = 3

Probability of picking cat is picked at first position = P(A1) = 3 / 10

= 0.3

Probability of picking cat is picked at second position = P(A2) =  2 / 9

= 0.223

Probability of picking cat is picked at third position = P(A3) = 1 / 8

= 0.125

so , probability of picking cat in first position and again in second position and again in third position will be = P(A1) . P(A2) . P(A3)

= 0.3 × 0.223 × 0.125

= 0.0084 required probability

There will be 0.84% chances that resulting sequence in cat

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The function f(x) = xlnx is decreasing on the open interval (0, e^-1).

To find the interval on which the function f(x) = xlnx is decreasing, we need to find the intervals where the first derivative f'(x) is negative.

Using the product rule of differentiation, we can find the first derivative of f(x) as

f'(x) = x × (1/x) + ln(x) × 1 = 1 + ln(x)

Now, we need to find the values of x where f'(x) < 0

1 + ln(x) < 0

ln(x) < -1

x < e^-1

Therefore, f(x) is decreasing on the interval (0, e^-1).

Note that we exclude x = 0 from the interval because the function is not defined for x ≤ 0.

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Answer:

Deductive Reasoning.

Step-by-step explanation:

Basically it’s logical thinking in simply terms.

The question asks to identify the rule that represents a 90° clockwise rotation about the origin and determine the best number line for point P.

A 90° clockwise rotation about the origin involves swapping the coordinates and changing their signs. Let's consider the given options:

A) (x, y) → (y, -x): This rule reflects a 90° counter-clockwise rotation, not a clockwise rotation, so it does not represent the described transformation.

B) (x, y) → (-y, x): This rule reflects a 90° counterclockwise rotation, not a clockwise rotation, so it does not represent the described transformation.

C) (x, y) → (x, -y): This rule reflects a reflection across the x-axis, not a rotation, so it does not represent the described transformation.

D) (x, y) → (-x, y): This rule reflects a reflection across the y-axis, not a rotation, so it does not represent the described transformation.

Therefore, none of the given options represent the described transformation.

Regarding the second part of the question, without specific information about point P or its coordinates, it is not possible to determine which number line it best aligns with.

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A liter is a metric unit of volume, while a milliliter (ml) is a subunit of a liter. There are 1,000 milliliters in one liter.

This means that to convert liters to milliliters, you can multiply the number of liters by 1,000. Conversely, to convert milliliters to liters, you would divide the number of milliliters by 1,000.

For example, if you have 2.5 liters of water, you can convert this to milliliters by multiplying 2.5 by 1,000, which gives you 2,500 milliliters. This conversion is commonly used in fields such as chemistry and medicine, where small amounts of liquids are measured in milliliters.

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Decide if each statement is true or false:

1.7×8=56 (TRUE)

2.-7×8=56(FALSE)

3.-7×-8=-56(FALSE)

4.-7×-8=56(TRUE)

5.3.5× 12= 42(TRUE)

6.-3.5×-12=-42(FALSE)

7.-3.5×-12= 42(TRUE)

8.-12×7/2 = 42(FALSE)

An integer is a number consisting of positive integers, zero (0) and negative integers. Integers are symbolized by the letter Z. Members of the set of integers can be written Z = { …, -3, -2, -1, 0, 1, 2, 3, … }.

A positive integer is a number whose value is positive. On the number line, this number is to the right of zero. While a negative integer is a number whose value is negative. On the number line, negative integers are to the left of zero.

Positive integers are also called natural numbers. A natural number plus zero is called a whole number. The set of whole numbers plus a negative number is called an integer.

(+) x (+) = (+)

Example:

2 x 5 = 10

(-) x (-) = (+)

Example:

(-2) x (-5) = 10

(+) x (-) = (-)

Example:

2 x (-5) = (-10)

(-) x (+) = (-)

Example:

(-2) x 5 = (-10)

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Answer:

8(x + 6) = 144

Step-by-step explanation:

We can start building this equation by making everything equal to 144 since the problem is representing the total number of apples:

? = 144

Next, we don't know how many apples are in each basket, so we can represent it with a variable, x.

Since 6 apples are added to each basket we will simply add 6 to the "x" amount of apples in each basket:

x + 6 = 144

Lastly, according to the scenario, we have 8 baskets, each holding "x" amount of apples plus the extra 6 that was added, so it will be multiplied:

8(x + 6) = 144

Solution

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Represent the first statement

Let the number be n

twice a number is given as:

difference between twenty and twice the number is given as:

Hence, the answer is 20-2n

Answer:

109.5cm²

Step-by-step explanation:

The formula to this equation is SA = 2lw + 2lh + 2wh

So...

SA = 2(11 x 9) + 2(11 x 6) + 2(9 x 6)

= 49.5 + 33 + 27

= 109.5cm²

Population: All students in the high school.

Parameter of interest: Proportion of students whose names are known by the student body president.

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Answer:

$78.80

Step-by-step explanation:

68.47 rounds to 68.50

15% of 68.50 is 10.3

68.50 + 10.30 = 70.80

The given statement, "According to the Sloan Career Cornerstone Center, individuals working in this area, "computational methods are applied to formulate and solve complex mathematical problems in engineering and the physical and the social sciences" is true. Computer-based computational approaches are used to solve mathematical models that represent physical processes quantitatively.

Computational methods may be used to forecast how complex systems will behave under various situations, which is frequently the case when straightforward analytical answers are not accessible.

Its goal is to analyze the behavior of complicated systems using computer simulations. In the 1960s, computational approaches first appeared in engineering. Since that time, structural engineers have led the way in developing technical fixes for issues with engineering analysis and design. The development of computational techniques has been driven by the emergence of electronic computers and the enormous rise in processing capacity. A wide range of engineering specialties have been significantly impacted by the quick advancements in computer technology.

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The complete question is, "According to the Sloan Career Cornerstone Center, individuals working in this area, "computational methods are applied to formulate and solve complex mathematical problems in engineering and the physical and the social sciences. True or False"

mathematics is applied in engineering and the physical and social sciences to solve complex problems, design structures, analyze data, make predictions, and study patterns and relationships.

mathematics is applied extensively in engineering and the physical and social sciences to solve complex problems and make accurate predictions. In engineering, mathematics is used to model and analyze systems, design structures, and solve optimization problems. For example, civil engineers use mathematical principles to calculate the strength and stability of bridges and buildings, while electrical engineers use mathematical equations to design circuits and analyze electrical systems.

In the physical sciences, mathematics is used to describe and explain natural phenomena. Physicists use mathematical models and equations to understand the behavior of particles, the motion of objects, and the interactions of forces. Mathematics provides a precise language to represent and analyze physical phenomena, allowing scientists to make predictions and test hypotheses.

In the social sciences, mathematics is used to analyze data, make predictions, and study patterns and relationships. Economists use mathematical models to analyze economic trends, forecast future outcomes, and understand the impact of various factors on the economy. Mathematicians and statisticians develop statistical methods to analyze social data and study patterns in areas such as population growth, social networks, and voting behavior.

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The probability that a randomly selected person from this sample used the Chrome browser and used a laptop computer is 0.308.

To determine the probability that a person selected would e using the Chrome browser and a laptop, we will proceed as follows:

From the table, Chrome and laptop = 77

Total number of occurrences = 250

Expressing this as a probability, we will have: 77/250

= 0.308

Therefore, the probability would be 0.308

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Given:

Bases of the trapezoid are 5.2 m and 14.6 m.

The height of the trapezoid is 7 m.

To find:

The area of the trapezoid.

Solution:

The area of a trapezoid is:

\(A=\dfrac{a+b}{2}\times h\)

Where, a,b are bases and h is the height of the trapezoid.

Putting \(a=5.2,b=14.6,h=7\) in the above formula, we get

\(A=\dfrac{5.2+14.6}{2}\times 7\)

\(A=\dfrac{19.8}{2}\times 7\)

\(A=9.9\times 7\)

\(A=69.3\)

Therefore, the area of the trapezoid is 69.3 square meters.

Answer:

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

b) Diameter of Mercury = 4.88 * 10³ = 4.88 * 1000 = 4880 km

Radius of Mercury = 4880÷ 2 = 2440 km

c) Mass of Jupiter = 1.898 * 10²⁷ = 18.98 * 10²⁶

Mass of Saturn = 5.68 * 10²⁶

Difference  = 18.98 * 10²⁶ - 5.68*10²⁶

                   = (18.98 - 5.68) * 10²⁶

                   = 13.30 * 10²⁶

                   = 1.330 * 10²⁷

Answer:

Step-by-step explanation:

If we let M be a number, then 5 times as big as M would be 5M. Not that hard :/

Answer:

sin 7A/ sin 2A di ako sure na Tama yan sorry pero yan Ang sagot ko

Answer:

Step-by-step explanation:

2x - 3 < x + 4

x - 3 < 4

x < 7

Open dot at seven with a line to the left.

7 + x > 5

x > -2

Open dot at negative 2 with a line to the right.

Answer:

f^(-1) (x) = (x-1)²+6    x≥6

Step-by-step explanation:

y=√(x-6) +1 original for the inverse x and y switch places because you are rflecting the function over the line y=x

y=√(x-6) +1 now the job is solve for y by using inverse operations. Think about undoing the equation.

x-1=√(y-6) subtract 1

(x-1)²=y-6 square both sides of the equation

(x-1)²+6=y add 6 to both sides

x≥6 because we are only using real numbers and if x is less than 6 you get a negative number under the square root sign.

The type of circuit that is represented above is a closed circuit that allows electrons to flow. That is option B

A circuit is defined as the electrical or electronic pathway that allows the flow of an electrical current.

There are two types of circuit that include the following;

The closed circuit is defined as the type of circuit that is complete and allow the flow of current

The open circuit is the type of circuit that is incomplete and that cannot allow complete flow of electrons.

The circuit shown above is a complete circuit that allows the build to turn on.

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