What is the greatest common factor of 24 and 6?

Answer:

0.01%

Step-by-step explanation:

There's no need to worry about a problem like this, it's easy. All you have to do is find the area of the smaller rectangle, being 50, then find the area of the other one, 5000, and divide the smaller by the larger and transfer it to a percentage. 50/5000 = 0.01 = 0.01%

To find out the percent change in profit between the two years, you need to use the percent change formula, which is given as: Percentage Change = (New Value − Old Value) / Old Value × 100Where Old Value = Profit of the previous year = birr 880,000New Value = Profit of this year = birr 970,000Now we will substitute these values in the formula and solve for the percentage change:

Percentage Change = (New Value − Old Value) / Old Value × 100Percentage Change = (970,000 − 880,000) / 880,000 × 100Percentage Change = 90,000 / 880,000 × 100Percentage Change = 0.102 × 100Percentage Change = 10.2%Therefore, the percentage change in profit between the two years is 10.2%. The company earned 10.2% more profit this year than last year.

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The equation relating x, y, and z is:

z = 0.5 * x * y.

In the given problem, the relationship between x, y, and z can be expressed by the equation z = k * x * y, where k represents the constant of proportionality. By substituting the values of x = 4 and y = 5, when z is equal to 10, we can determine the value of the constant of proportionality, k, and further define the relationship between the variables.

To find the constant of proportionality, we substitute the known values of x = 4, y = 5, and z = 10 into the equation z = k * x * y. This gives us the equation 10 = k * 4 * 5. By simplifying the equation, we have 10 = 20k. To isolate k, we divide both sides of the equation by 20, resulting in k = 0.5. Therefore, the equation relating x, y, and z is z = 0.5 * x * y, meaning that z is directly proportional to the product of x and y with a constant of proportionality equal to 0.5.

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the total amount of oil that leaks out over the entire time interval [0, 120].

integral ∫₀¹₂₀ r(t) dt represents the total amount of oil that leaks from the tank in 120 minutes.

To see why, consider the definition of an integral. If we divide the interval [0, 120] into small subintervals of width Δt, then the amount of oil that leaks out during each subinterval is approximately r(t)Δt. Summing up all these small amounts over the entire interval gives:

Σᵢ r(tᵢ) Δt

where tᵢ is the midpoint of the i-th subinterval. As we take the limit as the subinterval width goes to zero, this sum becomes the integral:

∫₀¹₂₀ r(t) dt

which represents the total amount of oil that leaks out over the entire time interval [0, 120].

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Answer:

Step-by-step explanation:

Move -7 to the left, so make 7 positive and & move it next to 25

1. 3x = -10x +25+7

combine 25 & 7

2. 3x=-10x+32

move 10 to the side & combine with 3x

3.  3x+10x=+32

4. 13x = 32

lastly divide 32 from 13

Answer:x=32/13

Step-by-step explanation:

Rearrange terms−7+3=−10+25−7+3x=−10x+25

3−7=−10+25

add 7 to both sides of the equation

then Simplify

add 10 to both sides of the equation the

x=32/13

the correct answer is A.

5,220,000 songs were downloaded in the year 2020.

The interpretation of s(2020) = 5,220,000 is "5,220,000 songs were downloaded in the year 2020".

Therefore, the correct answer is A. 5,220,000 songs were downloaded in the year 2020.

Interpretation refers to the process of explaining or giving meaning to information, data, or phenomena. It involves analyzing and making sense of information to draw conclusions or make decisions based on the findings.

Interpretation can involve subjective judgment and may depend on the perspective, assumptions, or biases of the interpreter.

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The differentiation of the function is f'(x) = 6x² + 6 - ln(x) + 3eˣ - cos(x)

from the question, we have the following parameters that can be used in our computation:

f(x) = 2x³ + 6x - 1/x + 3eˣ - sin(x)

The derivative of the functions can be calculated using the first principle which states that

if f(x) = axⁿ, then f'(x) = naxⁿ⁻¹

Using the above as a guide, we have the following:

f'(x) = 6x² + 6 - ln(x) + 3eˣ - cos(x)

Hence, the differentiation of the function is f'(x) = 6x² + 6 - ln(x) + 3eˣ - cos(x)

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Answer:

3

Step-by-step explanation:

→ Calculate the change in y coordinates

9 - 6 = 3

→ Calculate the change in x coordinates

3 - 2 = 1

→ Divide the answers

3 ÷ 1 = 3

Answer:

(1, 2)

Step-by-step explanation:

Given the equation of the lines x + 2y = 5 and 2x - 3y = -4

First we need to make x the subject of the formulas

For x+2y = 5

x = 5 - 2y ... 1

For 2x - 3y = -4

2x = -4+3y

x = (-4+3y)/2 ... 2

Equate 1 and 2

5 - 2y =  (-4+3y)/2

2(5-2y) = -4+3y

10 - 4y = -4+3y

-4 -3y = -4-10

-7y = -14

y = 14/7

y = 2

Substitute y = 2 into 1

x = 5 = 2y

x = 5 - 2(2)

x = 5 - 4

x = 1

Hence the point where the lines meet will be at (1, 2)

Each avocado costs 4.98/6, which is .83. 83 cents for one avocado!

This has brightened my day.

Answe0.83 avacodose

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer: 4

Step-by-step explanation: Same thing as 8 / 0.5

Step-by-step explanation:

To solve the problem \(-\frac{3}{4} (-8a-12)\)

we first use the distributive property, which means to multiply everything on the inside with the outside number on the left.

so \(-\frac{3}{4} * -8a, -\frac{3}{4} *-12\)

This would equal

\(6a+9\)

its pretty simple.

what may be confusing is the fraciton multiplication

to solve this we convert the -8 and -12 into a fraction. This would be

\(-\frac{8}{1} and-\frac{12}{1}\)

and multiplying fractions is easy, u just do it straight across.

so 3 times 8 is 24 so this would be 24/4

and 24/4 simplified is 6

and 3 times 12 is 36

so it would be 36/4

this would equal 9 simplified

and since we are just multiplying all negative numbers here they all turn out to be positive numbers because you should know.  a negative times a negative equals a positive.

Answer:

14.006

Step-by-step explanation:

π + 3.14 × π + 3.14 ÷ 3.14

14.00619358

Rounded -

14.006

Let's see

\(\\ \rm\rightarrowtail \dfrac{\pi\pi(3.14)(3.14)}{3.14}\)

\(\\ \rm\rightarrowtail \pi\pi(3.14)\)

\(\\ \rm\rightarrowtail \pi^2(\pi)\)

\(\\ \rm\rightarrowtail \pi^3\)

Substituting Q = 30 degrees, we get:

Q' = 30 degrees + 45 degrees

Q' = 75 degrees

Therefore, the measure of angle Q' is 75 degrees.

Acute angles are those that range in degree from 0 to 90. Obtuse angles (90°–180°) are those that fall within this range. • A right angle is one with an angle of 90 degrees (= 90°).

If angle Q measures 30 degrees and is rotated 45 degrees, we can find the measure of the new angle Q' as follows:

Q' = Q + 45 degrees

Substituting Q = 30 degrees, we get:

Q' = 30 degrees + 45 degrees

Simplifying, we get:

Q' = 75 degrees

Therefore, the measure of angle Q' is 75 degrees.

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Answer: D

Step-by-step explanation:

answer: 12xy^2√ is correct

Step-by-step explanation:

I hope this answer is helpful ):

Answer:

3.3/2 = 1.65² x 3.14 = 8.54865

The 7 types of hazards in the home are Psychosocial  Risks,Physical

Dangers , Chemical Dangers, Biological risks, Constrained Areas,

Changing Equipment and Biohazards

Psychosocial  Risks

Physical dangers include a subgroup called psychosocial hazards. For some workers, these risks might be more severe or restrictive than for others. Poor management or a lack of feedback may be the cause of these risks.

Physical Dangers

Environmental and occupational hazards are two different categories of physical risks. These include unguarded machines, heat, cold, vibration, noise, and temperature extremes. Engineering controls can lessen some physical dangers.

Chemical Dangers

Toxic, flammable, explosive, self-reactive, oxidizing, or corrosive compounds are considered chemical dangers. Chemical risks can have negative health impacts and need special handling techniques and equipment.

Biological risks

Many workplaces have biological risks, which can be harmful to people. They include waste debris, food, fungi, food, hair, skin, and saliva.

Constrained Areas

Flammable gases can accumulate in small places. These gases tend to gravitate toward lower elevations, yet they can rise to the surface if a lid is closed or if they are hanging in the air.

Changing Equipment

For workers, the moving machinery hazard provides a distinct set of mechanical risks. Injuries caused by it include crushing, shearing, tangling, air being ejected, striking, abrading, and trapping.

Biohazards

There are many danger thresholds for biohazards. Agents of biohazard level I pose little risk to people. On the other hand, biohazard class II agents may be extremely contagious and may result in serious sickness if consumed or dispersed through the air.

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An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.

Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.

In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.

To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.

In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.

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Answer:

It is 1/5

Step-by-step explanation:

0.2 is a decimal ( tenth value [1/10] )

\(0.2 = \frac{2}{10} \)

divide the fraction ( numerator and denominator ) by 2:

\( = \frac{2 \div 2}{10 \div 2} \\ \\ = \frac{1}{5} \)

let's first off, convert the mixed fractions to improper fractions.

\(\stackrel{mixed}{8\frac{2}{5}}\implies \cfrac{8\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{42}{5}}~\hfill \stackrel{mixed}{6\frac{7}{10}} \implies \cfrac{6\cdot 10+7}{10} \implies \stackrel{improper}{\cfrac{67}{10}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{42}{5}-\cfrac{67}{10}\implies \cfrac{(2)42~~ - ~~(1)67}{\underset{\textit{using this LCD}}{10}}\implies \cfrac{84-67}{10}\implies \cfrac{17}{10}\implies 1\frac{7}{10}\)

Answer:7

Step-by-step explanation:

Answer:

The equation of the circle is (x-2)^2+(y-1)^2=13

Step-by-step explanation:

Answer:

Acceleration is 35,9. I think so

Step-by-step explanation:

v0=12m/s

v=36m/s

t=120s

a=?

a=v–v0/t,

a=36 - \(\frac{12}{120}\)

a=36-0,1

a=35,9

If (x, y) represents the location of any point on the original square, the ordered pair which represents the coordinates of the corresponding point on the resulting square is: (0.4x, 0.4y).

In Geometry, dilation simply refers to a type of transformation which changes the size of a geometric object and the location of its points based on the scale factor, but not its shape.

In Geometry, a scale factor can be defined as the ratio of two corresponding side lengths or diameter in two similar geometric objects (shapes) such as equilateral triangles, square, quadrilaterals, polygons, etc., which can be used to either enlarge or reduce their size.

Generally speaking, the transformation rule for the dilation of a geometric object (square) based on a specific scale factor is given by this mathematical expression:

(x, y)      →    (SFx, SFy)  = (0.4x, 0.4y)

Where:

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Complete Question:

A square with the perimeter of 20 units is graphed on a coordinate grid. The square is dilated by a scale factor of 0.4 with the origin as the center of dilation.

If (x, y) represents the location of any point on the original square, which ordered pair represents the coordinates of the corresponding point on the resulting square?

answer choices

(0.4x, 0.4y)

(x + 20, y + 20)

(x + 0.4, y + 0.4)

(20x, 20y)

The exponential function f with base b is defined by f(x) = bˣ, where b > 0 and b ≠ 1. Using interval notation, the domain of this function is (-∞, ∞) and the The range is base b.

Using interval notation, the domain of this function is (-∞, ∞) because exponential functions are defined for all real numbers.

The range of the exponential function f depends on the value of the base b.

If 0 < b < 1, then the range is (0, ∞), meaning that the function takes positive values that approach zero as x approaches negative infinity.

If b > 1, then the range is (0, ∞), meaning that the function takes positive values that increase without bound as x increases.

If b = 1, then the range is just {1}, as any non-zero base raised to the power of zero equals 1.

If b < 0, then the range is not defined for real numbers because raising a negative number to a non-integer power results in complex numbers.

In summary:

If 0 < b < 1, the range is (0, ∞).

If b > 1, the range is (0, ∞).

If b = 1, the range is {1}.

If b < 0, the range is not defined for real numbers.

The complete question is:

The exponential function f with base b is defined by f(x) = ___ b > 0 and b ≠1. Using interval notation, the domain of this function is ____ and the range is______.

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Answer:

3 1/3 batches

Step-by-step explanation:

you can divide 1/4 and 5/6 to find how many in each batch.

Answer:

mortgage

Step-by-step explanation:

are loans distributed by banks to allow consumers to buy homes they can't pay for upfront. A mortgage is tied to your home, meaning you risk foreclosure if you fall behind on payments. Mortgages have among the lowest interest rates of all loans.

Answer:

An 18-month loan with a 4.75% annual simple interest rate

Step-by-step explanation: