12 divided by 3 +6 times 2 simplified

Step-by-step explanation:

1.(4,16) and (x,24)

4/16 = x/24

Now you will cross multiple to get a liner equation.

16x= 4×24

Now you will divide both sides by the coefficient of x which is 16.

16x/16=4×24/16

Now 16 will cancel 16 and the equation will be like this

x=4×24/16

Now 4 will cancel 16 to get 4 and the 4 at the the nominator will cancel 24 to get 6.

Therefore x = 6.

2.(3, 4) and (9, y)

3/4 = 9/y

cross multiple to get a linear equation.

3y = 4×9

Divide both sides by the coefficient of y.

3y/3=4×9/3

As a said before 3 will cancel 3 to make y stand alone.

y = 36/3

y = 12.

3.(3,18) and (x,30)

3/18 = x/30

18x = 3x30

18x/18 = 3×30/18

x = 5

Therefore x = 5.

4.(3,36) and (6,y)

3/36 = 6/y

3y = 6×36

3y/3 = 6×36/3

y = 216/3

y = 72

Therefore y = 72.

5.(3,39) and (x,65)

3/39 = ×/65

39x = 3× 65

39x/39 = 3×65/39

x = 5

Therefore x = 5.

Answer:

Is this just spam?

Step-by-step explanation:

If you need help let me know.

It will take 6 months for Omari to finish paying off the monthly payment for the computer.

What is the monthly payment?

The amount paid each month to repay the loan over the course of the loan is known as the monthly payment. When a loan is taken out, not only the principal, or the original lent amount, but also the interest that accrues, must be repaid.

Given, the total price of the computer = $1,099

down payment = 20% of $1,099 = $219.8

The remaining amount = $1,099 - $219.8 = $879.2

monthly payments for the computer = $144

Then, the total months to pay = 879.2/144 = 6 months

Hence, it will take 6 months for Omari to finish paying off the monthly payment for the computer.

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negative five point zero

Answer:

Step-by-step explanation:

I got the answer right on Edge 2021. Hope this helps!

Answer: B

Step-by-step explanation:

There are several ways to solve this problem, but I think the easiest way is just to find the mean.

There are 12 total data points, and adding them all up you get 266.

mean = 266/12 = 22.167

The line in the middle of the box plot represents the mean, so the answer must be B.

Answer:

B

I hope this helps!

Answer:

m=1+2n

Step-by-step explanation:

4(m+3)-8n=16

4m+12-8n=16

4m=16-12+8n

4m=4+8n

4m=4(1+2n)

m=1+2n

Answer:

\(\Longrightarrow: \boxed{\sf{m=2n+1}}\)

Step-by-step explanation:

To solve this problem, you have to isolate the term of m on one side of the equation.

First, add by 8n from both sides.

\(\Longrightarrow: \sf{4\left(m+3\right)-8n+8n=16+8n}\)

Solve.

\(\Longrightarrow: \sf{4\left(m+3\right)=16+8n}\)

Then, you divide by 4 from both sides.

\(\Longrightarrow: \sf{\dfrac{4\left(m+3\right)}{4}=\dfrac{16}{4}+\dfrac{8n}{4}}\)

Solve.

16/4+8n/4=2(n+2)

m+3=2(n+2)

Subtract by 3 from both sides.

\(\Longrightarrow: \sf{m+3-3=2\left(n+2\right)-3}\)

Solve.

\(\Longrightarrow: \boxed{\sf{m=2n+1}}\)

I hope this helps, let me know if you have any questions.

The shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).

What is a normal distribution?

A normal distribution is a function on some random variables, which represent the set of all those random variables in a symmetrical bell shape about the mean value.

It shows that the probability of occurrence of some data which is distributed over a function is more at or around the mean.

It is also known as probability distribution curve.

The normal distribution has two parameters:

What is the shape of the normal distribution?

The normal distribution curve is at it's peak at the mean value. This shows that the probability of occurrence of the data or value is more concentrated or distributed about the mean. It is also symmetric about the mean. As we more further from the mean, we see that the normal distribution curve gradually decreases showing that the probability of occurrence of the data or the values decreases. The shape that this curve forms is like a bell-shaped. So the shape of normal distribution is bell shape.

Hence, the shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).

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∠A = ∠C for every isosceles triangle and not only for this specific isosceles triangle.

We are given that:

AB = BC

Now, draw a angle bisector from point B to the line AC in a way that it intersects AC at D.

Now, we get that:

∠ABD = ∠CBD ( BD is the angle bisector)

BD = BD ( common line)

So, ΔABD ≅ Δ CBD ( SAS property)

So,

∠A = ∠ C ( CPCT rule)

Also, it will be true for every isosceles triangle.

Therefore, we get that, ∠A = ∠C for every isosceles triangle and not only for this specific isosceles triangle.

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Your question was incomplete. Please refer the content below:

There is an isosceles triangle with AB = BC. Prove that ∠A = ∠C.

Did we prove the conclusion true for every isosceles triangle or only for this specific isosceles triangle.

Answer:

whats the answer

Step-by-step explanation:

When presenting chunks of information, bar charts should be used. As long as there aren't too many categories to contrast, vertical bar charts can be useful for comparing several discrete or categorical variables, such as age groups, courses, and schools. For time series data, they are also highly beneficial.

Why would one use a bar chart?

To show a frequency distribution for qualitative data, bar charts are frequently employed.

                   The axis used to measure the bars should always begin at zero, unless there is a valid reason for doing otherwise.

                  Otherwise, the axis can be stretched to magnify differences in the lengths of the bars. A title and the axis labels are required for bar charts.

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The values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.

We know that the amplitude, A = 2 + T; the angular velocity, ω = 4 + U rad/s; and time, t = 1s. Here, the value of T = 1 and the value of U = 4 (as mentioned in the question).

Harmonic motion is a motion that repeats itself after a certain period of time.

Harmonic motion is caused by the restoring force that is proportional to the displacement from equilibrium.

The three types of harmonic motions are as follows: Free harmonic motion: When an object is set to oscillate, and there is no external force acting on it, the motion is known as free harmonic motion.

Damped harmonic motion: When an external force is acting on a system, and that force opposes the system's motion, it is called damped harmonic motion.

Forced harmonic motion: When an external periodic force is applied to a system, it is known as forced harmonic motion.Vectorial formVibrations of harmonic motion can be represented in a vectorial form.

A simple harmonic motion is a projection of uniform circular motion in a straight line.

The displacement, velocity, and acceleration of a particle in simple harmonic motion are all vector quantities, and their magnitudes and directions can be determined using a coordinate system.

Let's now calculate the values of displacement, velocity, and acceleration.

Displacement, s = A sin (ωt)

Here, A = 2 + 1 = 3 (since T = 1)and, ω = 4 + 4 = 8 (since U = 4)

So, s = 3 sin (8 x 1) = 2.68 m (approx)

Velocity, v = Aω cos(ωt)

Here, v = 3 x 8 cos (8 x 1) = 2.24 m/s (approx)

Acceleration, a = -Aω2 sin(ωt)

Here, a = -3 x 82 sin(8 x 1) = -18.07 m/s2 (approx)

Thus, the values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.

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Answer:

1/2

Step-by-step explanation:

We can use the unit circle and reference angle to find the exact value of sin(-5pi/6).

Starting from the positive x-axis (θ=0), we can rotate clockwise by 5pi/6 radians to get to the terminal side of -5pi/6.

The reference angle is pi/6 radians, which is the angle between the terminal side and the x-axis if we rotate counterclockwise instead.

At this angle, sin is negative and equal to -1/2, since the opposite side has length 1 and the hypotenuse has length 2.

Since sin is an odd function, we have sin(-5pi/6) = -sin(5pi/6) = -(-1/2) = 1/2.

Therefore, the exact value of sin(-5pi/6) is 1/2.

The value of the equation is  A = 81

The power to which a number must be increased in order to obtain another number is known as the logarithm. A power is the opposite of a logarithm. In other words, if we subtract an exponentiation from a number by taking its logarithm

The properties of Logarithm are :

log A + log B = log AB

log A − log B = log A/B

log Aⁿ = n log A

Given data ,

Let the logarithmic equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 4 ^ ( log₂ ( 9 ) )   be equation (1)

On simplifying the equation , we get

log₂ ( 9 ) = 2 log₂ ( 3 )

So , on further simplification , we get

A = 2² ^ ( 2 log₂ ( 3 ) )

A = ( 2⁴ )^log₂ ( 3 )

From the logarithmic rule , a^logₐ ( b ) = b

Substituting the values in the equation , we get

A = 2 ^ ( log₂(3) )4

A = 3⁴

A = 81

Hence , the equation is A = 81

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The mass of 5600 paper clips is 5.6 kilograms.

Here we use the unitary method to solve the problem. The unitary method is a mathematical technique used to solve problems.

It involves finding the value of one unit of a given quantity and then using that value to determine the value of other units of the same or different quantities.

Here we have

One paperclip has a mass of 1 gram.  

Mass of 1000 paperclips = 1 kilogram  

The mass of 1 paperclip in kilogram = 1/1000 = 0.001 kg

Similarly

Mass of 5600 paperclips = 0.001 kg × 5600 = 5.6 kg

Therefore,

The mass of 5600 paper clips is 5.6 kilograms.

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(40-15)! / 40! this the number of ways that cards can be distributed to each child.

To distribute the 3 baseball cards to each of the 5 kids from a total of 40 different cards, you'll first need to determine the total number of cards being given out and the number of combinations for each child.

Since each kid gets 3 cards, there will be a total of 3 * 5 = 15 cards given out, leaving 25 cards for the store.

Now, let's calculate the ways to distribute the cards to each kid. For the first kid, there are 40 cards to choose from, so there are 40 choose 3 (denoted as C(40,3)) ways to select the cards. Similarly, for the second kid, there are 37 remaining cards to choose from, so there are C(37,3) ways. Following the same logic, we have C(34,3) ways for the third kid, C(31,3) ways for the fourth kid, and C(28,3) ways for the fifth kid.

To determine the total number of ways to distribute the cards, you'll need to multiply the combinations for each kid together: C(40,3) * C(37,3) * C(34,3) * C(31,3) * C(28,3). This will give you the total number of ways to distribute the 15 cards among the 5 kids while keeping the remaining 25 cards in the store.

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We can make the graph through\(\( f(2x+1) \)\) from the graph of\(\( f(x) \),\)two transformations to be made:

1. Dilate the graph by a factor of 2 in the\(\( x \)-\)direction: all the points will be horizontally stretched by 2. The new graph will be narrower compared to the original graph.in each point\(\((x, y)\\))on the graph we multiply the\(\( x \)\)-coordinate by 2 to obtain the new\(\( x \)-\)coordinate.

2. Translate the graph by 1 unit in the negative\(\( x \)-\)direction: This means that every point on the dilated graph will be shifted 1 unit to the left. The new graph will be shifted to the left compared to the dilated graph. At each point \(\((x, y)\)\) on the dilated graph, you subtract 1 from the \(\( x \)-\) we coordinate to find a new coordinate.

We can find the graph of\(\( f(2x+1) \)\)from other graph of\(\( f(x) \),\)by these steps

1. Multiply the\(\( x \)-\) each points co ordinate with 2.

2. Subtract 1 from the\(\( x \)\)-coordinates of each point obtained from step 1.

These transformations will dilate the graph by a factor of 2 in the \(\( x \)-\)direction and translate it 1 unit to the left.

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Answer:

Convert fraction (ratio) 16 / 73 Answer: 21.917808219178%

Step-by-step explanation:

Répondre:

Benoit a 10 ans

Explication étape par étape :

Laisser :

Âge de Thomas = x

Benoit age = y

il y a 5 ans :

x - 5 = 5 (y - 5)

x - 5 = 5y - 25 - - (1)

Aujourd'hui :

x = 3y - - (2)

Mettez x = 3y dans (1)

3 ans - 5 = 5 ans - 25

Recueillir des termes similaires

3 ans - 5 ans = - 25 + 5

-2a = - 20

Diviser les deux côtés par - 2

y = 10

Answer:

okay I will do fast give me free points

Answer:

C) 574.53 foot-pounds

Step-by-step explanation:

got it right on edge :)

Awagon is being pulled by a force of 15 pounds.  the required work done is 574.53 to pull the wagon So, Option C) is correct work done = 574.53.

The work done is product of force and cosine of displacement.

Given; Awagon is being pulled by a force of 15 pounds. We need to find How much work is done in moving the wagon 50 feet if the handle makes an angle of 40° with the ground.

Force = 15 pounds

distance = 50 feet

Ф = 40°

We can calculate the work done as;

work done = force x displacement x cosФ

work done = 15 x 50 x cos40

work done = 15 x 50 x 0.76

work done = 574.53

Therefore, the required work done is 574.53 to pull the wagon.

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Answer:

1/216

Step-by-step explanation:

1/6 times 1/6 times 1/6

or 6^-3

Answer:

Step-by-step explanation:

There is only 1 way you can throw 18 with 3 dice. There are 6 * 6 * 6 = 216 ways of throwing 3 dice. Only 1 will give you  18. So the answer is 1/216

Planets around other stars can be detected by carefully measuring the "brightness" or "light intensity" of stars.

When a planet orbits a star, it causes a slight change in the brightness or light intensity of the star. This is known as the transit method of planet detection. As the planet passes in front of the star from our line of sight, it blocks a small portion of the star's light, causing a temporary decrease in its brightness. By carefully measuring these changes in brightness over time, scientists can infer the presence and characteristics of planets orbiting the star. This method has been instrumental in the discovery of numerous exoplanets in recent years.

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Answer:

640

Step-by-step explanation: and wow

We can see here that the critical value for a chi-square test with 1 degree of freedom at a significance level of 0.05 is approximately 3.841.

A contingency table, also known as a cross-tabulation or a two-way frequency table, is a tabular representation of the joint distribution of two or more categorical variables.

The expected frequencies for the table are:

                   | Bought Diapers |   Did Not Buy Diapers

Bought Beer |       43.3     |            36.7

Did Not Buy |       46.7     |              39.3

Calculating the chi-square test statistic. The formula for the chi-square test statistic is:

χ² = Σ [(O - E)² / E]

Using the observed and expected frequencies, we get:

χ² = [(60 - 43.3)² / 43.3] + [(20 - 36.7)² / 36.7] + [(30 - 46.7)² / 46.7] + [(30 - 39.3)² / 39.3]

For a contingency table with r rows and c columns, the degrees of freedom (df) is given by (r - 1) × (c - 1).

The degrees of freedom = (2 - 1) × (2 - 1) = 1.

The critical value for a chi-square test with 1 degree of freedom at a significance level of 0.05 is approximately 3.841.

If χ² > 3.841, we reject H₀. Otherwise, we fail to reject H₀.

If we reject the null hypothesis, we conclude that there is a dependent relationship between buying beer and buying diapers. If we fail to reject the null hypothesis, we conclude that there is no evidence of a dependent relationship.

Now let's calculate the chi-square test statistic:

χ² = [(60 - 43.3)² / 43.3] + [(20 - 36.7)² / 36.7] + [(30 - 46.7)² / 46.7] + [(30 - 39.3)² / 39.3]

≈ 4.33

Since χ² (4.33) > 3.841 (critical value), we reject the null hypothesis.

Therefore, based on the data, we conclude that there is a dependent relationship.

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Answer:

Upper bound = 28.65s

Step-by-step explanation:

Since it is a unit of time and it is a decimal the unit of accuracy will 0.1 , we will halve it and it will be 0.05

0.1 ÷ 2 = 0.05

Upper bound = 28.6 + 0.05 = 28.65

Lower bound = 28.6 - 0.05 = 28.55

The inequalities that include 7 in the solution set are;

D) -3 - x < -9

E) ¹/₂(x + 3) ≥ 2

A) -6 + x ≤ 5

Add 6 to both sides using addition property of equality to get;

x ≤ 11

B) 11 - x ≥ 7

Add x - 7 to both sides to get;

4 ≥ x

C) 3(2x - 9) > 15

Expand the bracket to get;

6x - 27 > 15

Add 27 to both sides to get;

6x > 42

Divide both sides by 6 to get;

x >  7

D) -3 - x < -9

Add 9 + x to both sides to get;

6 < x

E) ¹/₂(x + 3) ≥ 2

Multiply both sides by 2 to get;

x + 3 ≥ 4

Subtract 3 from both sides to get;

x ≥ 1

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Answer:

x =  ​(y+w)/k

Step-by-step explanation:

xk-w=y ​

Add w to each side

xk-w+w=y+w

xk = y+w

Divide each side by k

xk/k = (y+w)/k

x =  ​(y+w)/k

Answer:

x=\(\frac{y+w}{k}\)

Step-by-step explanation:

Have a nice day

The number of students that is expected to score between 69 and 81 is given as follows:

816 students.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

69 and 81 are within one standard deviation of the mean, hence the percentage is given as follows:

68%.

Out of 1200 students, the number of students is given as follows:

0.68 x 1200 = 816 students.

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