simply the expression of 3x+6-2x+7

Answer:

-(-45) and -|45|

Step-by-step explanation:

Opposite of a number can also me termed the conjugate of such number. For example, the conjugate (opposite) of a is -a.

Also any value in the modulus sign can either be a negative or positive value. For example |a| can be +a or -a.

According to the question, we are to find the numbers that are equivalent to opposite of -45 i.e which of them are conjugate of -45.

To do this, we are to select the values in the options that will return +45.

Let's look at each option.

For -(-45):

Since the product of two negative sign will give a positive(+), then -(-45) = +45 and hence the value is opposite of -45

For -45:

-45 is a negative value and can never be positive since 45 is not inside a modulus sign. Hence, -45 is not equal to opposite of -45.

For −|−45|, |-45| can only return a positive value since -45 is already in a modulus sign. What the modulus sign will do is convert it to positive value i.e |-45| = 45. Hence -|-45| ≈ -(45) which is not also equivalent to the opposite of-45.

For -|45|:

The value inside modules will return both +45 and -45, hence it can be written as -|45| = -(-45) = +45. This shows that -|45| is also equivalent to the opposite of -45.

Answer:

-(-45) and -|45|

Step-by-step explanation:

The conditional probability in this scenario is the probability of drawing a yellow marble on the second draw, given that the first marble drawn was red.

To calculate this conditional probability, we can use Bayes' theorem, which states that the probability of an event (in this case, drawing a yellow marble on the second draw) given some prior knowledge (in this case, that the first marble drawn was red) is equal to the probability of both events occurring (drawing a red marble first and a yellow marble second) divided by the probability of the prior event (drawing a red marble first).

The probability of drawing a red marble first is 3/7 since there are three red marbles out of a total of seven marbles in the bowl. Once a red marble is drawn, there are six marbles remaining, of which three are yellow. Therefore, the probability of drawing a yellow marble second, given that the first marble was red, is 3/6 or 1/2.

Putting this together, we can calculate the conditional probability as follows:

P(Yellow on Second Draw | Red on First Draw) = P(Red on First Draw and Yellow on Second Draw) / P(Red on First Draw)
= (3/7) * (3/6) / (3/7)
= 1/2

Therefore, the conditional probability in this scenario is 1/2 or 50%. This means that there is a 50% chance of drawing a yellow marble on the second draw, given that the first marble drawn was red.

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Answer: The student wins 15 rounds.

Step-by-step explanation:

The number of rounds the student won is required.

The number of rounds the student won was 15.

The total number of rounds played is \(20\).

The percentage the student wins is \(75\%\)

The number of times he won was

\(20\times 75\%\\ =20\times \dfrac{75}{100}\\ =20\times 0.75\\ =15\)

The number of rounds the student won was 15.

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Answer:

2^(3/7)

Step-by-step explanation:

For these types of questions, what is inside the root is the numerator, and what is on top is the denominator.

3 is in the root, so it is the numerator

7 is outside the root, so it is the denominator

Therefore, The answer is 2^(3/7)

The statement that √s^2 is equals to the value of s is false, as s² is an even function, hence √s^2 can be equal either to the value of s or to -s.

The s² function is even, hence, for example:

sqrt[(-3)²] = sqrt(9) = 3.

Which proves by contradiction that the statement is false.

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Data collected at the same, or approximately the same point in time are  Cross- sectional data

In statistics and econometrics, cross-sectional data, or a cross section of a study population, is a type of data gathered by monitoring numerous subjects (such as individuals, firms, countries, or regions) at one point or throughout the course of time. It's also possible that the analysis disregards variations in time. Cross-sectional data analysis often entails contrasting the variations among pre-selected respondents.

For instance, if we wanted to determine the prevalence of obesity in a population, we could randomly select a sample of 1,000 people (also referred to as a cross section of that population), measure their height and weight, and then determine what proportion of that sample falls under the definition of obesity. With the use of this cross-sectional sample, we are able to get a current picture of that group. Be aware that based on a single cross-sectional sample, we cannot determine whether the prevalence of obesity is rising or falling; we can only describe the current proportion.

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Answer:

x=0

Step-by-step explanation:

2x-3x=9-3-6

-x=0

x=0

Answer:

x = 0

Step-by-step explanation:

Given

2x + 6 = 3x + 9 - 3 , that is

2x + 6 = 3x + 6 ( subtract 2x from both sides )

6 = x + 6 ( subtract 6 from both sides )

0 = x

We have the following inequality

Let's change the expression in such a way the variable b appears in the left side

Unlike equations, inequalities must attend the different comparison sign

When we flip the inequality, the comparison sign must be flipped also

Now we multiply by 10 on both sides to isolate the variable b. We get:

Simplifying the left side, and operating the right side:

This is our solution in written math form. We must graph it too. Of course, we already know the last option is the correct one

The graph form of the solution must include all number equal or greater than 60

Since the numbers increase to the right side, we must draw a line starting in 60 and pointing to the right side.

We must include two elements in our drawing: A solid dot which means the extreme is included in the solution

And an arrow meaning the solutions are not bounded

Therefore , the solution of the given problem of triangle comes out to be x = Tan⁻¹(15/8) .

Because a triangle has two or so more extra parts, it is a polygon. It has a straightforward rectangular shape. Only two of a triangle's three sides—A and B—can differentiate it from a regular triangle. Euclidean geometry produces a single area rather than a cube when boundaries are still not perfectly collinear. Triangles are defined by their three sides and three angles. Angles are formed when a quadrilateral's three sides meet. There are 180 degrees of sides on a triangle.

Here,

Given :

=> AS =15 and AN = 8

So,

We have to find m∠N = x

=> Tanx = 15/8

=> x = Tan⁻¹(15/8)

Therefore , the solution of the given problem of triangle comes out to be  x = Tan⁻¹(15/8) .

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If the linear correlation between an independent (x) and dependent (y) variable is:  f. none of the above.

The basis for basic (bivariate) regression is the linear correlation between an independent variable (x) and a dependent variable (y). The degree and direction of the relationship between the variables are measured by this.

Although a causal relationship between the variables may exist, the linear correlation does not prove it. Correlation merely assesses how much the variables differ collectively.

Therefore the correct option is F.

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Answer:

0$ or 3$

Step-by-step explanation:

If you are saying right now, then the answer would be zero. But, when we start, we can make and equation. Let's use J as John, A as Allen, and F and Frank. They all have n amount of money. Now, we work backwards: If A didn't give F 2$, then F now has n-2 and A has n+2. If J didn't give A 5$, then J would have n+5 and A would have n+2-5=n-3. The difference between those two is 8. Therefore, John has 8$ more.

Answer:

48 miles

Step-by-step explanation:

36/3 = 12.

12 = 1/4 of the way home

12 x 4 = 48

The total length is 48 mi.

The arc length of the curve x = (1/3)y^(3/2) - y^(1/2) cannot be determined without a specific value for the upper limit of integration. The arc length of the curve defined by x = (1/3)y^(3/2) - y^(1/2) can be found using the arc length formula: Arc Length = ∫[a,b] √(1 + (dx/dy)²) dy,

where dx/dy represents the derivative of x with respect to y.

To find dx/dy, we differentiate x with respect to y:

dx/dy = (d/dy)[(1/3)y^(3/2) - y^(1/2)]

= (1/2)y^(1/2) - (1/2)y^(-1/2).

Next, we need to find the limits of integration, a and b. Since the equation x = (1/3)y^(3/2) - y^(1/2) does not explicitly provide the range of y, we will assume it is defined for y ≥ 0.

To calculate the arc length, we need to evaluate the integral:

Arc Length = ∫[0,b] √(1 + [(1/2)y^(1/2) - (1/2)y^(-1/2)]²) dy.

To simplify the integral, we square the expression inside the square root:

(1 + [(1/2)y^(1/2) - (1/2)y^(-1/2)]²)

= 1 + (1/4)y - y^(-1/2) + (1/4)y - y^(-1) + (1/4)y^(-1)²

= 1 + (1/2)y + (1/4)y^(-1/2) + (1/4)y^(-1)².

Now we can integrate:

Arc Length = ∫[0,b] √(1 + (1/2)y + (1/4)y^(-1/2) + (1/4)y^(-1)²) dy.

Unfortunately, without a specific value for b, we cannot compute the exact arc length. We can, however, provide a general expression for the arc length.

The arc length of the curve x = (1/3)y^(3/2) - y^(1/2) cannot be determined without a specific value for the upper limit of integration (b). The arc length formula involves integrating a function, and the limits of integration determine the range over which the integration is performed. Without specifying the upper limit, we are unable to calculate the precise value of the arc length. However, we have derived the integral expression that represents the arc length and can be evaluated once the upper limit of integration is provided.

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True, when nesting loops, the inner loop must be completely contained within the outer loop and must use a different control variable.

When nesting loops, one loop is placed inside another loop. The purpose of nesting loops is to execute a set of instructions repeatedly in a structured manner. In this context, the statement is true: the inner loop must be entirely contained within the outer loop, and a different control variable must be used for each loop.

By containing the inner loop within the outer loop, we ensure that the inner loop executes its iterations every time the outer loop iterates. This nested structure allows for more complex and detailed looping patterns.

Using different control variables for the inner and outer loops is necessary to maintain independent control over their iterations. Each loop should have its own variable to track and control its progress. This distinction is crucial in preventing conflicts and ensuring that the loops function as intended.

Therefore, when nesting loops, it is essential to follow these guidelines: the inner loop must be entirely contained within the outer loop, and a distinct control variable should be used for each loop to ensure proper execution and avoid potential errors.

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The area of the Circular pool will be 1256 square feet.

The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

Given, A pool that is surrounded by the Square shaped Deck.

Let " 20 feet" be the radius of the pool. that makes the side of the deck will be 20 + 20 = 40 feet

From the formula of the area of a circle:

Area of circle= pi * radius^2

In our case,

Area of the pool = 3.14 * 20 * 20

Area of the pool = 1256 Feet square

Area of the square made by deck = Side * side

Area of the square made by deck =  40 * 40 = 1600

Area of deck = area of Square - the area of the circle

Area of deck = 1600 - 1256

Area of deck = 344 Square feet

therefore, The area of the Circular pool will be 1256 square feet.

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The possible value of x which the two triangles are similar is x=60°.

What do you mean by triangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

Method:

Given that two angles of the triangle are specified, the triangles can be

similar for only one value of x.

According to the given data in the question,

The two triangles are similar when we have;

x + 10° = 2x - 50°

Which gives;

2x - x = 50° + 10° = 60°

x = 60°

Checking gives;

x + 10° = 2·x - 50° = 70°

Two angles of the first triangle are 70° and 60°

Then, the third angle of the first triangle is (180° - (70° + 60°)) = 50°

The three angles of the first triangle are therefore; 70°, 60° and 50°.

Two angles of the second triangle are 70° and 70°.

The third angle of the second triangle is (180° - (70° + 70°)) = 40°

The three angles of the second triangle are therefore; 70°, 70° and 40°

Therefore, the two triangles are similar by AAA similarity.

The two triangles are similar when, x = 60°

When x = 50°, we have;

x + 10° gives;

50° + 10° = 60°

∴ ∠(x + 10°) = 60°

The two angles of the first triangle are; 60° and 50°

The third angle on the second triangle is 180° - (60° + 50°) = 70°

On the second triangle, we have;

2·x - 50° gives;

2 × 50° - 50° = 50°

∴∠(2·x - 50°) = 50°

Therefore, the two angles of the second triangle are 70° and 50°

The third angle on the second triangle is 180° - (70° + 50°) = 60°

Therefore, the two triangles are not similar when x = 50°

Similarly, the two triangles are not similar when x + 10° = 50°

Hence, the possible value of x which the two triangles are similar is x = 60°.

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Answer:

$39.59

Step-by-step explanation:

37 increase 7% =

37 × (1 + 7%) = 37 × (1 + 0.07) = 39.59

Answer:

b

Step-by-step explanation:

Answer: B

Explanation there is nothing for me to explain

Answer:

\(M=\frac{280}{140} =2\)

\(C=2+5=7\)

(2 Movies and 7 Commercials)

Step-by-step explanation:

Let's represent every time Carson's songs are played in a commercial as C and in movies as M.

Set up the following equations:

\(20C+120M=380\)  (1)

\(C=M+5\)   (2)

Substitute equation 2 for equation 1:

\(20(M+5)+120M=380\)

Distribute:

\(20M+100+120M=380\)

Simplify:

\(140M=280\)

Divide both sides by 140:

\(M=\frac{280}{140} =2\)

Substitute 2 as M back into either original equation, I will use (2):

\(C=2+5=7\)

Answer:

Step-by-step explanation:

To solve the given initial value problem using Laplace transforms, we can apply the Laplace transform to both sides of the differential equation and use initial conditions to determine the transformed equation.

By algebraically manipulating the transformed equation, we can find the Laplace transform of the desired solution. Finally, we can use the inverse Laplace transform to obtain the solution in the time domain. Let's denote the unknown function as x(t). Applying the Laplace transform to both sides of the differential equation yields the transformed equation in terms of the Laplace transform variables s and X(s). By substituting the initial conditions x(0) = 0 and x'(0) = 20 into the transformed equation, we can solve for X(s).

After obtaining the Laplace transform X(s), we can manipulate the equation algebraically to isolate X(s) on one side. This may involve factoring, simplifying, and using partial fraction decomposition if necessary. Once we have the equation in terms of X(s), we can apply the inverse Laplace transform to find the solution x(t) in the time domain.

To find y(t), we follow the same procedure, applying the Laplace transform to both sides of the differential equation involving y(t) and using the given initial condition y(0) = y0. Solving for the Laplace transform Y(s), we can then find y(t) by applying the inverse Laplace transform.

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Answer:

We'll leave 2/3 as it is and reciprocate 1/4 into 4/1. 2/3 × 4/1 = 8/3 which becomes 2.66. So 1/4 will go into 2/3 2.66 times.

Step-by-step explanation:

Answer:

1/4 is in 2/3 2 2/3 times

Step-by-step explanation:

a.Stored attribute b.Minimum cardinality c. entity type- relationship type d. strong entity type weak entity type e. degree cardinality f. required attribute optional attribute g. composite attribute multivalued attribute h. ternary relationship has a strict contrast .

a. Stored attribute represents a characteristic or property of an entity that is directly stored in a database. It can be easily accessed and retrieved. On the other hand, a derived attribute is not directly stored but is calculated or derived from other attributes. It is derived using formulas, calculations, or rules based on the stored attributes.

b. Minimum cardinality specifies the minimum number of occurrences an entity can have in a relationship. For example, a minimum cardinality of 1 means that an entity must have at least one occurrence in the relationship. Maximum cardinality, on the other hand, defines the maximum number of occurrences an entity can have in a relationship. It sets an upper limit on the number of associations an entity can have.

c. An entity type represents a distinct object in the real world, such as a customer, employee, or product. It has its own attributes and may participate in relationships with other entity types. On the other hand, a relationship type represents an association or connection between two or more entity types. It describes how entities are related or connected to each other.

d. A strong entity type exists independently and has its own primary key. It can be uniquely identified on its own without depending on any other entity types. A weak entity type, however, depends on a strong entity type for its existence. It does not have its own primary key and relies on a foreign key relationship with a strong entity type.

e. Degree refers to the number of entity types participating in a relationship. It represents the number of entity types connected by the relationship. Cardinality, on the other hand, describes the number of occurrences or instances of one entity type that can be associated with another entity type in a relationship. It specifies how many entities can participate in the relationship.

f. Required attributes are attributes that must have a value and cannot be left empty or null. They are necessary for the completeness and integrity of the data. Optional attributes, on the other hand, are attributes that may or may not have a value. They are not mandatory and can be left empty.

g. A composite attribute is an attribute that can be further divided into sub-attributes. It is composed of multiple components or parts, representing a hierarchical structure. On the other hand, a multivalued attribute can have multiple values for a single occurrence of an entity. It allows an entity to have multiple instances or occurrences of the attribute.

h. A ternary relationship involves three

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The length of drill collar pipes used for drilling is 53.5 meters.

To determine how much length of drill collar pipes is used for the drilling, we need to calculate the weight required to overcome the buoyancy force acting on the drill collar, and then use that weight to calculate the length of the drill collar pipe used. The formula for calculating the weight required to overcome buoyancy is as follows:

W = Q × (1 + KB)

Where, W is the weight required to overcome buoyancy, Q is the weight of the drill collar, KB is the buoyancy coefficient, which is given as 0.90

Using the formula above, we can calculate the weight required to overcome buoyancy as follows:

W = qe × LDC × (1 + KB)

where, qe is the drill collar gravity, which is given as 1.53 kN/m

LDC is the length of the drill collar pipe used

We can substitute the given values and simplify as follows:

150 kN = 1.53 kN/m × LDC × (1 + 0.90)150

kN = 1.53 kN/m × LDC × 1.9LDC = 150 kN ÷ (1.53 kN/m × 1.9)

LDC = 53.5 m

Therefore, the length of drill collar pipes used for drilling is 53.5 meters.

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Answer:

-13/24

Step-by-step explanation:

find the common denominator then add

Answer:

B)-7x+y=61

Step-by-step explanation:

y + 5 = 7(x– 8)

y + 5 =(7xX)(7x-8)

y + 5 =(7x)(-56)

y – 5 =(7x)(-56+-5)

y=7x-7x-61/

-7x+y=-61

Answer:

-11

Step-by-step explanation:

Insert the value of b:   |(-4 * -2) - 8| + |-1 - (-2)²| + 2(-2)³

Simplify & solve:          |8 - 8| + |-1 - 4| + 2 * -8

                                     |0| + |-5| + -16

                                     0 + 5 - 16

                                     -11

Answer: 9

Step-by-step explanation: 7, 9, 11, 13 are the consecutive odd numbers that equal 40 as you can tell i put the numbers in order so you know what number is what so your answer is 9. If this helps reply back.