Evaluate each value expression for the given value of x: x-5 , x - =22
pls fast

The expression that is equivalent to \((\frac{m-4}{m^4})/ m^2\) is the expression \(\frac{m-4}{(m^4)(m^2)}\)

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the expression:

\((\frac{m-4}{m^4})/ m^2\\\\This\ can\ be\ simplified\ to:\\\\(\frac{m-4}{m^4})*\frac{1}{m^2} \\\\=\frac{m-4}{(m^4)(m^2)}\)

The expression that is equivalent to \((\frac{m-4}{m^4})/ m^2\) is the expression \(\frac{m-4}{(m^4)(m^2)}\)

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Answer:

A

or M-4 / ( M + 4 ) ( M + 2 )

StartFraction m minus 4 Over (m + 4) (m + 2) EndFraction

Step-by-step explanation:

A vertical 1-meter stick casts a shadow of 0.4 meters , then the height of the tree is 30 meters , the correct option is (c) .

We use the concept of proportions to find the height of the tree .

We know that , A vertical stick of 1 meter casts a shadow of 0.4 meters.

We have to find the height of tree which casts a shadow of 12 meter at the same time ,

Let x =  the height of the tree in meters.

So , we can write ,

⇒ 1/0.4 = x/12 ,

Simplifying this proportion:

We get ,

⇒ 0.4x = 12 ,

⇒ x = 12/0.4

⇒ x = 30

Therefore, the height of the tree is Option(c) 30 meters.

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The given question is incomplete , the complete question is

A vertical 1-meter stick casts a shadow of 0.4 meters. If a tree casts a shadow of 12 meters at the same time, how tall is the tree?

(a) 13.4 meters

(b) 12.6 meters

(c) 30 meters

(d) 4.8 meters.

Answer:

14

Step-by-step explanation:

you add them all up and divide by how much there are

(10+11+12+13+14+15+16+17+18)=126

(126/9)=14

Answer:

14

Step-by-step explanation:

first you add them all up and then divide alll of them again

Answer:

71.62

Step-by-step explanation:

2 liters = 2(33.81) ounces or 67.62 oz

4 more ounces were added

new total is 71.62 oz

The bus has a higher rate of motion or Velocity.

The vehicle travels the fastest,compare their respective speeds. Speed is defined as the distance traveled per unit of time.

the speed of the bus and the car:

Speed of the bus = Distance / Time = 5 kilometers / 10 minutes = 0.5 kilometers per minute.

Speed of the car = Distance / Time = 9 kilometers / 20 minutes = 0.45 kilometers per minute.

Comparing the speeds, we can see that the bus travels at a speed of 0.5 kilometers per minute, while the car travels at a speed of 0.45 kilometers per minute.

Therefore, the bus travels faster than the car. It covers a greater distance in the same amount of time compared to the car.

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Answer:

Part A: about 8%

Part B: about 65%

Step-by-step explanation:

Part A answer is (A)

Part B answer is 3.170

Answer:

15 degrees

Step-by-step explanation:

Find the temperature at the end of the day by adding 28 to -13

-13 + 28

= 15

So, at the end of the day, it was 15 degrees

Answer:

15 degrees

Step-by-step explanation:

Answer:

5 hours

Step-by-step explanation:

275 mi/(55mi/h)=5h

or to put it simply 275/55=5

The expression for the volume (V) of the open box in terms of x, the side length of the squares cut from each corner, is given by V = x(125 - 2x)(50 - 2x). Volume for the open box is x ≈ 15.86 mm.

To find the value of x that maximizes the volume, we can take the derivative of the volume expression with respect to x and set it equal to zero. By solving this equation, we can determine the critical point where the maximum volume occurs.

Differentiating V with respect to x, we get dV/dx = 5000x - 300x^2 - 250x^2 + 4x^3. Setting this derivative equal to zero and simplifying, we have 4x^3 - 550x^2 + 5000x = 0.

To find the value of x that maximizes the volume, we can solve this cubic equation. By using numerical methods or a graphing calculator, we find that x ≈ 15.86 mm (rounded to two decimal places) gives the maximum volume for the open box.

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Solution to the equation 4x+2 = 12 using the change of base formula is x = 1.442114.

The given equation is 4x+2 = 12.

To solve for x using the change of base formula, we need to isolate x on one side of the equation. We start subtracting 2 from LHS and RHS:

4x+2-2 = 12-2

4x = 10

Next, we use the change of base formula, which states log base a of b is equal to log base c of b divided by log base c of a. In this case, we want to find x, which is the exponent that 4 is raised to in order to get 10.

Rewrite equation:

x = log base 4 of 10

Use the change of base formula, we can present this as:

x = \(log base 10 of 10 / log base 10 of 4\)

Simplifying:

x = 1.442114

Solution to the equation 4x+2 = 12 using the change of base formula is x = 1.442114.

In conclusion, using the change of base formula, the answer to the equation 4x+2 = 12 is roughly 1.442114. This method can be used to solve a variety of problems in the sciences, engineering, and financial sectors, as well as exponential and logarithmic equations.

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- 2x and 70 are equal, because they are vertical angles.

- 110 and 3x + 5 are equal, becasue they are vertical angles.

- so, the answer would be A.

-- this is because vertical angles are not supplementary so would not be equal to 180°

Stephen Dubner and Steven Levitt are the authors of the essay, and as they develop their essay, they use a great deal of quantification.

The following are three specific examples that they used: They write, "If a martini is made with 4 ounces of gin, that’s 2.8 standard drinks. "They also said, "Let's consider the five most unsafe hours for driving, which are Saturday and Sunday mornings from 1 am to 6 am. In the middle of this time period, 3 am on Saturday morning, the likelihood of an accident is three times higher than at noon on a weekday. "In another instance, they note that "The average person who has been murdered has approximately 300 friends and relatives, which means that a homicide victim’s personal network is quite extensive. "The authors use these specific numbers to make their argument more convincing. Using quantification provides an air of authority to the author's claims. By providing specifics, the author can communicate more information than would otherwise be possible.

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The greatest common factor between 64 and 24 is 8

Let's divide both terms in the expression by 8 and leave the expression in parenthesis...

Like this!

64x -24

\(\frac{64x}{8} - \frac{24}{8}\)

8x - 3

Leave 8 we divided outside the parenthesis

Now we have this!

8( 8x - 3)

This is the distributive property form!

The required, by factoring out the GCF of 8, the expression 64x - 24 can be rewritten as 8(8x - 3) using the distributive property.

To rewrite the expression 64x - 24 using the greatest common factor (GCF) and the distributive property, we need to identify the common factor of the two terms and factor it out. In this case, the common factor is 8.

Rewrite the expression:

64x - 24

Factor out the GCF of 8:

8(8x - 3)

By factoring out the GCF of 8, the expression 64x - 24 can be rewritten as 8(8x - 3) using the distributive property.

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Answer:

The probability of the first marble being blue is 4/9 and the probability of the second marble being green is 2/8 (8 because the first marble you pulled out didn't get put back, therefore you only have 8 marbles to choose from now) and 2/8 in simplest form is 1/4.

"The beautiful thing about learning is that no one can take it away from you." :)

The inverse of the statement is "If a number does not have exactly two distinct factors, then the number is not prime." Thus Option 2 is the answer.

   When a conditional statement is reversed, the hypothesis and conclusion are both negated. The hypothesis in the original statement is "a number with exactly two distinct factors," while the conclusion is "is prime."

  To make the inverse, we negate both sections. "A number does not have exactly two distinct factors" is the antonym of "A number that has exactly two distinct factors." "Is not prime" is the opposite of "is prime."

    As a result, the inverse statement is "If a number does not have exactly two distinct factors, then the number is not prime."

     It's crucial to remember that a statement's inverse could or might not be accurate. In this instance, the inverse is true since the definition of a prime number is incompatible with the fact that a number has more than two components if it has more than exactly two different factors.

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Answer:

Step-by-step explanation:

It's a linear function.

We just need to calculate the y value for x = -2 and x = 1.

We have the equation:

y = -5x + 2

Substitute:

x = -2 → y = -5(-2) + 2 = 10 + 2 = 12

x = 1 → y = -5(1) + 2 = -5 + 2 = -3

For -2 < x < 1, -3 < y < 12.

The correct answer is option (c): They are both solid lines.

In mathematics, an inequality is a statement that two values are not equal. Instead, one value is either greater than or less than the other value. Inequalities are represented by symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).

For example, the inequality 5 < 8 means that 5 is less than 8, while the inequality x + 3 > 7 means that the sum of x and 3 is greater than 7.

Inequalities can be graphed on a number line, which is a horizontal line that represents the set of real numbers. To graph an inequality on a number line, you can draw a closed or open circle at the value of the variable that satisfies the inequality, and shade the region to the left or right of the circle, depending on the direction of the inequality.

For example, to graph the inequality x < 3, you would draw an open circle at 3 on the number line, and shade the region to the left of the circle, because x is less than 3. Similarly, to graph the inequality y ≥ -2, you would draw a closed circle at -2 on the number line, and shade the region to the right of the circle, because y is greater than or equal to -2.

Graphing inequalities on a number line is a useful tool for solving problems and visualizing the solutions to inequalities in one variable.

The inequality y ≤ 3x + 5 can be written as y = 3x + 5 or y > 3x + 5. Similarly, the inequality y ≤ (2/3)x + 5 can be written as y = (2/3)x + 5 or y > (2/3)x + 5. Since the inequality symbols are less than or equal to, the lines representing these inequalities will be solid lines.

Also, since the coefficients of x and y are positive in both the inequalities, the lines will have a positive slope and will slant upwards from left to right. The y-intercept of both lines is 5.

Hence, the correct answer is option (c): They are both solid lines.

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The lines will have a positive slope and slant upward from left to right since the coefficients of x and y in both inequalities are positive. Both lines have a y-intercept of 5.

Hence, option (c) is the appropriate response: Both of them are solid lines.

In mathematics, an inequality is a statement that two values are not equal. Instead, one value is either greater than or less than the other value. Inequalities are represented by symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).

For example, the inequality 5 < 8 means that 5 is less than 8, while the inequality x + 3 > 7 means that the sum of x and 3 is greater than 7.

Inequalities can be graphed on a number line, which is a horizontal line that represents the set of real numbers. To graph an inequality on a number line, you can draw a closed or open circle at the value of the variable that satisfies the inequality, and shade the region to the left or right of the circle, depending on the direction of the inequality.

For example, to graph the inequality x < 3, you would draw an open circle at 3 on the number line, and shade the region to the left of the circle, because x is less than 3. Similarly, to graph the inequality y ≥ -2, you would draw a closed circle at -2 on the number line, and shade the region to the right of the circle, because y is greater than or equal to -2.

Graphing inequalities on a number line is a useful tool for solving problems and visualizing the solutions to inequalities in one variable.

The inequality y ≤ 3x + 5 can be written as y = 3x + 5 or y > 3x + 5. Similarly, the inequality y ≤ (2/3)x + 5 can be written as y = (2/3)x + 5 or y > (2/3)x + 5. Since the inequality symbols are less than or equal to, the lines representing these inequalities will be solid lines.

Also, since the coefficients of x and y are positive in both inequalities, the lines will have a positive slope and will slant upwards from left to right. The y-intercept of both lines is 5.

Hence, the correct answer is an option (c): They are both solid lines.

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Answer:

Question A, the values of h is 11 and k is -8 .

Question B, the equation is y = (-4/3)x + 2 .

Step-by-step explanation:

Question A, in order to find the value of h and k, you have to use the mid-point formula and do comparison :

\(m = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )\)

Let (x1,y1) be coordinate A (h,4),

Let (x2,y2) be coordinate B (-5,k),

Let mid-point be (3,-2),

\((3 \: , - 2) = ( \frac{h - 5}{2} , \frac{4 + k}{2} )\)

\(by \: comparison, \: \)

\( \frac{h - 5}{2} = 3\)

\(h - 5 = 6\)

\(h = 11\)

\( \frac{4 + k}{2} = - 2\)

\(4 + k = - 4\)

\(k = - 8\)

Question B, given that line is perpendicular bisetor to AB means that the line touches mid-point which is M(3,-2). Using gradient formula :

\(m = \frac{y2 - y1}{x2 - x1} \)

Let (x1,y1) be (11,4),

Let (x2,y2) be (-5,-8),

\(m = \frac{4 - ( - 8)}{11 - ( - 5)} \)

\(m = \frac{12}{16} \)

\(m = \frac{3}{4} \)

The gradient of perpendicular line is opposite of line AB and when both gradient are multiplied, you should get -1 :

\(m1 \times m2 = - 1\)

Let m1 be the gradient of AB, m = 3/4,

Let m2 be the gradient of perpendicular line,

\( \frac{3}{4} \times m2 = - 1\)

\(m2 = - \frac{ 4}{3} \)

Last, we have to use the slope-form equation, y = mx + b and susbtitute the coordinates of M into the equation :

\(y = mx + b\)

Let m = -4/3,

Let x = 3,

Let y = -2,

\( - 2 = - \frac{4}{3} (3) + b\)

\(b = 2\)

Answer:

24 individuals

Step-by-step explanation:

Since we are given the actual costs as well as the final total then we can calculate the total number of people that attended the party by doing the following. We first subtract the fixed cost of $120 by the total cost of the party, and then we divide the remainder by the cost per person, which would give us the number of people who attended (x) ...

($480 - $120) / $15 = x

$360 / $15 = x

24 = x

Finally, we can see that a total number of 24 individuals attended the party

To know more about the evenness or oddness of the given functions: the function f(x) = x√(1 - x²) is odd, the function g(x) = x² - x is neither even nor odd, and the function f(x) = (1/5)x⁶ - 3x² is even.

a. The function f(x) = x√(1 - x²) is an odd function.

To determine if a function is odd, we need to check if f(-x) = -f(x) for all x in the domain. Substituting -x into the function, we have f(-x) = (-x)√(1 - (-x)²) = -x√(1 - x²) = -f(x), which satisfies the condition for odd functions.

b. The function g(x) = x² - x is neither even nor odd.

To check for evenness, we need to verify if g(-x) = g(x) for all x in the domain. Substituting -x into the function, we have g(-x) = (-x)² - (-x) = x² + x, which is not equal to g(x) = x² - x. Therefore, g(x) is not even.

To check for oddness, we need to verify if g(-x) = -g(x) for all x in the domain. Substituting -x into the function, we have g(-x) = (-x)² - (-x) = x² + x, which is not equal to -g(x) = -(x² - x) = -x² + x. Therefore, g(x) is not odd.

c. The function f(x) = (1/5)x⁶ - 3x² is an even function.

To determine if a function is even, we need to check if f(-x) = f(x) for all x in the domain. Substituting -x into the function, we have f(-x) = (1/5)(-x)⁶ - 3(-x)² = (1/5)x⁶ - 3x² = f(x), which satisfies the condition for even functions.

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The orientation of the final image produced by this lens system is +1 therefore, the final image is upright.

Consider three lenses with focal lengths of 25.1 cm, −14.5 cm, and 10.3 cm positioned on the x-axis at

x = 0 m,

x = 0.417 m, and

x = 0.520 m, respectively.

An object is at x = -120 cm.

We are supposed to find the magnification and the orientation of the final image produced by this lens system.Part BThe magnification of the final image produced by this lens system can be given by the formula:

Magnification, m = -v/u

Where,u = distance of the object from the first lens (u = -120 cm)

v = distance of the final image from the last lens (negative for a real image)

m = magnification by the lens system

We have three lenses, the net focal length of which can be found out using the lens formula

(1/f = 1/v - 1/u), such that:

1/f_net = 1/f_1 + 1/f_2 + 1/f_3

Where,

f_net = net focal length of the lens system

f_1 = focal length of the first lens

f_2 = focal length of the second lens

f_3 = focal length of the third lens

Substituting values,

f_net = (1/25.1) + (-1/14.5) + (1/10.3)

f_net = 0.0205

Diverging lens has a negative focal length.

The net lens system has a positive focal length. So, this is a converging lens system.

Let's find the location and magnification of the image using the lens formula for the complete system.

For the object-lens 1 pair:

1/f_1 = 1/v - 1/u

u = -120 cm and

f_1 = 25.1 cm

1/v = 1/f_1 + 1/u

= 1/25.1 - 1/120

v = 0.172 cm

For the lens 1 - lens 2 pair:

u = distance between the lenses = 0.417 - 0

= 0.417 mv

= -13.3 cm and

f_2 = -14.5 cm

1/f_2 = 1/v - 1/u1/v

= 1/f_2 + 1/u

= 1/-14.5 + 1/0.417v

= -5.41 cm

For the lens 2 - lens 3 pair:

u = distance between the lenses

= 0.520 - 0.417

= 0.103

mv = ? and

f_3 = 10.3 cm1/

f_3 = 1/v - 1/u1/v

= 1/f_3 + 1/u

= 1/10.3 - 1/0.103

v = -4.94 cm

Magnification,m = -v/u = -(-4.94 cm) / (-120 cm)

= 0.041

= 4.1%

Part C The orientation of the final image produced by this lens system can be given by the following formula:

Orientation = Sign(v) × Sign(u)

For a real image, the sign of the distance of the image is negative.

Hence, the sign of v is negative. The object is in front of the lens and so the sign of u is also negative. Thus, the orientation is given as:

Orientation = -1 × (-1) = +1 The final image is upright.

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Answer:

clarissa

Step-by-step explanation:

At time t=0, the experimenter measures the energy of the system.

To determine the values and probabilities of energy measurements, we need to find the eigenvalues and eigenvectors of the Hamiltonian matrix H. The eigenvalues represent the possible energy values that can be observed, while the corresponding eigenvectors give the probabilities associated with each measurement outcome.

The eigenvalues of H are E_1 = 2, E_2 = 7, and E_3 = 7. Thus, the possible energy values that can be found are 2, 7, and 7.

The eigenvectors corresponding to these eigenvalues are:

|u_1⟩ = [1, 0, 0]^T

|u_2⟩ = [0, 1, 0]^T

|u_3⟩ = [0, 0, 1]^T

To calculate the probabilities, we need to express the initial state vector |ψ(0)⟩ in terms of the eigenbasis:

|ψ(0)⟩ = (2/√6)|u_1⟩ + (2/√6)|u_2⟩ + (2/√6)|u_3⟩

The probabilities of obtaining each energy value can be calculated as the squared magnitudes of the projection coefficients. Therefore, the probabilities are:

P(E_1) = |⟨u_1|ψ(0)⟩|^2 = (2/√6)^2 = 2/3

P(E_2) = |⟨u_2|ψ(0)⟩|^2 = (2/√6)^2 = 2/3

P(E_3) = |⟨u_3|ψ(0)⟩|^2 = (2/√6)^2 = 2/3

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To transform is to alter. So, changing any given geometric shape would be considered a geometric transformation.

What does one transformation mean?

A 180° rotation about the origin characterizes the sole transformation. Translation, rotation, reflection, and dilation are the four primary categories of transformation.

The term "Geometric" transformation refers to a group of picture transformations where the geometry of the image is modified without changing the actual pixel values. In general, various actions can be performed on it, but the actual pixel values will not change.

Students get the opportunity to consider fundamental mathematical concepts in novel ways thanks to geometric transformations (e.g., functions whose domain and range are R2). Students can view mathematics as a connected field by using geometric transformations as a framework.

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Answer:

630

Step-by-step explanation:

15×2=30

40×(-15)=-600

30-(-600)=630

Answer:

The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.

Step-by-step explanation:

hope it help

Answer:

9.85

Step-by-step explanation:

|v|= √9²+(-4)²

=√81+16

=√97

|v|= 9.85