Schrade company bought a machine for $96,000 cash. the estimated useful life was four years and the estimated residual value was $6,000. assume that the estimated useful life in productive units is 120,000. units actually produced were 43,000 in year 1 and 45,000 in year 2.

Answer: 24/m

Step-by-step explanation:

There are m members in the science club.

24 bumper stickers were purchased to be split amongst these m members.

The number of stickers that each member will get is:

= Number of stickers / Number of members

Number of stickers = 24

Number of members = m

The expression is therefore:

= 24/m

A graphical device used for enumerating sample points in a multiple-step experiment is a tree diagram.

A tree diagram is a way of determining probabilities of different outcomes based on numerous different events.

It helps in identifying all the probable outcomes of an experiment and helps in understanding the likelihood of each of these events.

A tree diagram starts with a single root node that is then divided into different branches based on the potential outcomes of an experiment that are mutually exclusive.

These branches then split again into sub-branches until the final potential outcomes of an experiment are reached.

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Answer:

the roots of f(x) = (x+5)3(x-9)2(x+1) are -5 (with a multiplicity of 3), 9 (with a multiplicity of 2)

Step-by-step explanation:

To find the roots of f(x) = (x+5)3(x-9)2(x+1), we need to set the polynomial equal to zero and solve for x.

f(x) = (x+5)3(x-9)2(x+1)

Setting f(x) equal to zero, we get:

0 = (x+5)3(x-9)2(x+1)

The roots of the polynomial are the values of x that make f(x) equal to zero. Therefore, the roots of the polynomial are:

-5 (with a multiplicity of 3), 9 (with a multiplicity of 2), and -1

Therefore, the roots of f(x) = (x+5)3(x-9)2(x+1) are -5 (with a multiplicity of 3), 9 (with a multiplicity of 2),

Answer:

y = kx  where k>0

Step-by-step explanation:

A direct variation is in the form

y = kx

where k is a numerical positive constant ( i.e. > 0 )

Answer:

0

Step-by-step explanation:

If she puts 0 in the box she would have a direct variation.

Step-by-step explanation:

 Given : She writes the equation y = 5x - __ with a missing value.

She puts a value in the box and says that the equation represents a direct variation.

We have to choose the correct option from the given options that explain that  the equation could represent a direct variation.

When two variables are such that one is a constant multiple of other, we said they are in Direct variation.

That is in form of y = ax , here y and x are in direct variation.

Consider the given equation y = 5x  - __

For the equation to be in direct variation the value of missing term has to be 0.

then equation becomes,

y = 5x

Thus, If she puts 0 in the box she would have a direct variation.

The most predictable effect of Earth's axis being perpendicular to the line between the Sun and Earth would be the absence of seasonal variations.

The tilt of Earth's axis is what causes the change in seasons as different parts of the planet receive varying amounts of sunlight throughout the year. If Earth's axis were to become perpendicular to the line between the Sun and Earth, the planet would no longer experience these seasonal variations. This means that the climate would become more consistent throughout the year, with less temperature variation between different regions. Without the tilt, the equator would receive the same amount of sunlight year-round, leading to a relatively stable climate with minimal temperature fluctuations. The regions closer to the poles, which currently experience more pronounced seasons, would see a reduction in temperature extremes.

Additionally, the absence of a tilted axis would also affect the length of daylight hours. Currently, as Earth orbits the Sun, different parts of the planet experience longer or shorter days. However, with a perpendicular axis, there would be equal amounts of daylight and darkness across all latitudes throughout the year. This would have significant implications for ecosystems, as organisms rely on daylight and darkness cues for various biological processes such as migration, reproduction, and growth.

Overall, the most predictable effect of Earth's axis being perpendicular to the line between the Sun and Earth would be the loss of seasonal variations and the establishment of a more consistent climate throughout the year, with equal daylight hours across all latitudes.

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The weight of 12 badminton rackets, each weighing 0.950 kg, is 11.4 kg.

The weight of an object refers to the force exerted by gravity on that object. This force is typically measured in units of mass, such as kilograms or pounds. In the case of badminton rackets, the weight is usually measured in grams.

Now, let's consider the weight of a single badminton racket. You've been given the information that the weight of one racket is 0.950 kg. This means that the force exerted by gravity on that racket is 0.950 kg.

If you want to find the weight of 12 such rackets, you need to multiply the weight of one racket by 12. This gives you:

0.950 kg x 12 = 11.4 kg

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Answer:

Step-by-step explanation:

(3x + 4)(5x - 2)(4x - 3) = 60x^3 + 11x^2 - 74x + 24 =>

a  = 60

b = 11

c = -74

d = 24

The total number of extracted barrels on the course of four years is 640 thousand barrels.

In order to evaluate the number of barrels extracted in the first four years of action can be calculated by applying the principles of  integration to calculate the rate of extraction function over the time interval [0, 4].

Now, then let us formulate the given function

∫(30t² - 4t³)dt

= 10t³ - t⁴

Hence, the number of barrels that are extracted during the first four years of action is:

10(4)³ - (4)⁴ - 10(0)³ - (0)⁴

= 640 thousand barrels.

The total number of extracted barrels on the course of four years is 640 thousand barrels.

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Hello there. To solve this question, we have to determine the solutions to the quadratic equation shown in the graph.

For this, we simply have to find, by inspection, the points for which it is equal to zero, that is, when it crosses the x-axis:

It is easy to see that is passes through the points x = -3 and x = 2, since the coordinate plane was divided into a lot of squares with side length equal to 1.

Hence we say that the answer to this question is:

This is the answer and it is contained in the third oval.

The expression that represents the perimeter, in centimeters, of the rectangle is 29.2c + 5.6d.

The perimeter of a rectangle is the sum of the lengths of all its sides. In this case, the rectangle has two sides with a length (9.5c+6.2d) and two sides with a length (5.1c−3.4d).

Therefore, the perimeter can be calculated by adding the lengths of all four sides:

Perimeter = (9.5c+6.2d) + (9.5c+6.2d) + (5.1c−3.4d) + (5.1c−3.4d)

Simplifying and combining like terms, we get:

Perimeter = 2(9.5c+6.2d) + 2(5.1c−3.4d)

Perimeter = 19c + 12.4d + 10.2c − 6.8d

Perimeter = 29.2c + 5.6d

Therefore, the expression that represents the perimeter, in centimeters, of the rectangle is 29.2c + 5.6d.

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A homogeneous system of linear equations is a system where all equations are of the form ax = 0, with no constant terms. It represents a system where the only solution is the trivial solution (all variables equal to zero) or infinitely many solutions.

A homogeneous system of linear equations consists of a set of linear equations with zero constant terms. The general form of a homogeneous system can be represented as:

a₁₁x₁ + a₁₂x₂ + ... + a₁ₙxₙ = 0

a₂₁x₁ + a₂₂x₂ + ... + a₂ₙxₙ = 0

...

aₘ₁x₁ + aₘ₂x₂ + ... + aₘₙxₙ = 0

Here, the variables x₁, x₂, ..., xₙ represent the unknowns, and the coefficients a₁₁, a₁₂, ..., aₘₙ are constants.

A key property of homogeneous systems is that they always have at least one solution, known as the trivial solution, where all variables equal zero. This solution can be easily verified by substituting zero for each variable in the equations. Additionally, if a homogeneous system has nontrivial solutions (solutions other than the trivial solution), it will have infinitely many solutions.

The reason behind the infinite solutions is that if a system has a nontrivial solution (where at least one variable is nonzero), any scalar multiple of that solution will also be a solution. This property is known as the scaling property of homogeneous systems.

Homogeneous systems are extensively studied in linear algebra because they form the basis for concepts such as vector spaces, linear independence, and the null space of a matrix. They also have applications in various fields, including physics, engineering, and computer science.

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A homogeneous system of linear equations is a linear system of equations in which there are no constant terms. i.e., a homogeneous linear system is of the form:

a₁₁ x₁ + a₁₂ x₂ + ... + a₁ₙ xₙ = 0

a₂₁ x₁ + a₂₂ x₂ + ... + a₂ₙ xₙ = 0

....

aₘ₁ x₁ + aₘ₂ x₂ + ... + aₘₙ xₙ = 0 Explain.

The given statement "In the method of proof, the rules are not used jointly but are applied one at a time and once per line" is True.

In a proof, each step must be justified by a logical rule or principle. These rules are not applied all at once, but rather one at a time and in a specific order. This allows for a clear and organized progression of the proof, and ensures that each step is based on a sound and valid reasoning.

For example, in a proof by contradiction, we assume the opposite of what we want to prove and then show that this assumption leads to a contradiction. In each step of the proof, we apply a logical rule or principle, such as the law of non-contradiction or the transitive property of equality.

By applying the rules one at a time and once per line, we can carefully follow the logical reasoning and ensure that the proof is valid. If we were to apply multiple rules at once or skip steps, the proof could become muddled and the validity of the argument could be called into question. Therefore, it is important to use the rules of logic in a methodical and systematic way when constructing a proof.

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Yes, Considering the figure, the perpendicular bisector theorem to can be used to solve for FG

The perpendicular of a line segment is the line that splits the middle of another line segment at a 90° angle into two equal halves.

Any point on the perpendicular bisector is equal distance from both endpoints of the line segment on which it is drawn, according to the perpendicular bisector theorem.

All of a pillar's points will be equally spaced from the bridge's end points if it is positioned at an angle in the middle of the structure.

Therefore from the theorem FG is equal to GH and this equal to 24 units

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Answer:

-2x/100 + 35

Step-by-step explanation:

Step 1:

12x ÷ 100 + 35,000 - 14x ÷ 100

Step 2:

- 2x ÷ 100 + 35,000 ÷ 100

Step 3:

- 2x ÷ 100 + 35

Answer:

- 2x/100 + 35

Hope This Helps :)

The Laplace transform F(s) L {f(t)} of the function f(t) 9th(t - 8), defined on the interval t ≥ 0. F(s) = L{9th(t -8)} = 9 [e⁻⁸ˣ/x]

Let's consider the function f(t) = 9th(t-8) defined on the interval t ≥ 0. This function is zero for t < 8 and has a constant value of 9 for t ≥ 8. In other words, it represents a step function that jumps from 0 to 9 at t = 8. To find the Laplace transform F(s) of this function, we need to evaluate the integral of f(t) multiplied by e⁻ᵃˣ over the entire interval t ≥ 0.

Using the definition of the Laplace transform, we have:

F(s) = L{9th(t-8)} = ∫ 9th(t-8) e⁻ᵃˣ dt

Since the integrand is zero for t < 8, we can change the limits of integration from 0 to ∞ to 8 to ∞ and simplify the integral as follows:

F(s) = ∫ 9 e⁻ᵃˣ dt

Next, we can evaluate the integral using the standard formula for the Laplace transform of an exponential function:

L{eᵃˣ} = 1/(s-a)

In our case, a = -8, so we have:

F(s) = 9 ∫₈^∞ e⁻ᵃˣ dt = 9 [e⁻⁸ˣ/x]

Therefore, the Laplace transform F(s) of the function f(t) = 9th(t-8) is:

F(s) = L{9th(t-8)} = 9 [e⁻⁸ˣ/x]

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We have to divide the shape into two

It will give us a Rectangle and a Trapezium

Answer:

it is false

Step-by-step explanation:

Answer:15 feet

Step-by-step explanation: you can’t park next to a fire hidratante l

also if you did then yo

\(\sqrt[4]{567x^9 y^{11}} ~~ \begin{cases} 567=3\cdot 3\cdot 3\cdot 3\cdot 7\\ \qquad ~~ ~ 3^4\cdot 7\\ x^9=x^{4+4+1}\\ \qquad ~x^4\cdot x^4\cdot x\\ y^{11}=y^{4+4+3}\\ \qquad ~~ y^4\cdot y^4\cdot y^3 \end{cases}\implies \sqrt[4]{3^4\cdot 7 \cdot x^4\cdot x^4\cdot x\cdot y^4\cdot y^4\cdot y^3}\)

\(\left( 3^4\cdot 7 \cdot x^4\cdot x^4\cdot x\cdot y^4\cdot y^4\cdot y^3\right)^{\frac{1}{4}}\implies 3^{\frac{4}{4}}\cdot 7^{\frac{1}{4}}\cdot x^{\frac{4}{4}}\cdot x^{\frac{4}{4}}\cdot x^{\frac{1}{4}}\cdot y^{\frac{4}{4}}\cdot y^{\frac{4}{4}}\cdot y^{\frac{3}{4}}\)

\(3\cdot 7^{\frac{1}{4}}\cdot x\cdot x\cdot x^{\frac{1}{4}}\cdot y\cdot y\cdot y^{\frac{3}{4}}\implies 3x^2y^2\cdot 7^{\frac{1}{4}}x^{\frac{1}{4}} y^{\frac{3}{4}} \implies 3x^2y^2(7xy^3)^{\frac{1}{4}} \\\\\\ ~\hfill {\Large \begin{array}{llll} 3x^2y^2\sqrt[4]{7xy^3} \end{array}}~\hfill\)

pls snap the picture well so that the pre information can be seen and considered

Answer:

B

Step-by-step explanation:

ANSWER AT THE BOTTOM

Question:

There is a bag with 1 red pen, 4 black pens, and 3 blue pens. If 2 pens are chosen from the bag without replacement, what is the probability that you chose 2 black pens.

Explanation:

Right now there are a total of 8 pens. 4 of them are black. So, the probability of choosing a black pen right now is 4/8, or 1/2.

Lets assume we picked a pen and got black.

Now there are only 7 pens in the bag, and only 3 of them are black. The probability of choosing a black pen right now is 3/7.

So on the first draw, the probability is 1/2

And on the second draw, the probability is 3/7

To find the probability of 2 ocurrences happening in a row, we must multiply their individual probabilities.

For example, if we wanted to find the probability of rolling two 6's in a row on a dice, we would need to mutiply the individual probability together. The probability of rolling one 6 is 1/6, so the probability of rolling two 6's in a row is 1/6 MULTIPLIED BY 1/6, which is 1/36.

The probability of rolling two 6's in a row is 1/36.

Lets apply the same principle to our situation right now.

So on the first draw, the probability is 1/2

And on the second draw, the probability is 3/7

1/2 MULTIPLIED BY 3/7    =    3/14

3/14 in decimal form is 0.21

ANSWER:

0.21, OR 21%

Ancient Greece consider music a core subject because it reflected the beauty found in nature.

An amphitheatre engineering need to be perfect in order to prevent the occurence of accidents.

An amphitheatre, is an open-air facility for entertainment, performances, and sports. Amphitheatres were primarily utilized for gladiator battles, chariot races, animal slayings, and executions.

Other sporting and cultural venues included theatres for producing plays, pantomimes, choral events, and orations; circuses and hippodromes for racing events; and stadia for athletics.

Greeks noticed patterns in music that appeared in other sections of nature. Nature's beauty was reflected through music. To describe the most perfect beauty, the ancient Greeks used a word close to "harmony."

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Step-by-step explanation:

3)

No. of wooden boxes is less than 9

x< 9

No. of plastic boxes is not more than 10

y ≤ 10

Weight equation

Wood box 6 kg Plastic box 3 kg total 36 kg

which means that the weight that can be carried must be greater than or equal to the actual weight

6x + 3y ≥ 36

Volume equation

Wood box 0.25 m² Plastic box 0.5 m² total 3 m²

which means that the capacity of boxes must be greater than or equal to the capacity of actual load

0.25x + 0.5y ≥ 3

4) Let the no. of RM100 tickets be x and no. of RM150 tickets be y

no. of RM100 tickets is more than no. of RM150 tickets.

x > y

Total price exceeds 3000

100x + 150y > 3000

Answer:

The answer is B

Step-by-step explanation:

you know that x is quarters which is .25 and you know that y is nickels which is .05

there are a total of 13 coins in the bank so x+y = 13

you also know that the 13 coins = 3.55

so plug in all that you know and the problem is

0.25x + 0.05y = 3.55

The grade point average received by hector is 3.75.

Your grade point average (GPA) is calculated by dividing the total number of credits you have earned in high school by the sum of all of your course grades. The majority of colleges and secondary schools use a 4.0 scale to report grades. A perfect score, or an A, is a 4.0.

The unit value for each course in which a student obtains one of the grades mentioned above is multiplied by the grade point total for that grade to determine the GPA. Then, divide the sum of these products by the sum of the units. The cumulative GPA is calculated by dividing the total grade points by the total number of units.

3 a and one is B received by Hector.

The A = 4.0, B = 3.0, C = 2.0, D = 1.0 is given by college

We have GPA= A+A+A+B/4

GPA=4+4+4+3/4

GPA= 15/4

GPA=3.75

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Complete question

Hector Ramirez received three A's and one B in his college courses. What is his grade point average? Assume each course is three credits. A = 4.0, B = 3.0, C = 2.0, D = 1.0

Answer:

1st answer BD should be the right one because BD bisects angle ABC