What is the equation of the vertical line through (-5,-2)(−5,−2)left parenthesis, minus, 5, comma, minus, 2, right parenthesis?

Answer:

1÷12

Step-by-step explanation:

fractions can be converted to the decimal form by the long division method.

The fraction

can be written as

.

Let us do the long division for the given fraction.

What_is_1_12_as_a_decimal_img2

When the dividend is less than the divisor, add a decimal point to the quotient and add 0 to the dividend.

We can see that the dividend is still 10 and cannot be divided by 12. Hence add another 0 after the decimal point in the quotient and add 0 to the dividend to make it 0.

Carry out the division. It can be seen that the remainder 4 is recurring and hence the digit 3 in the quotient is repeated.

We can stop the division here as we know that the answer is a non-terminating decimal.

Hence the decimal form of the fraction

is 0.8333……

Here we can see that the digit 3 is repeating and hence it can be denoted with the help of a bar over the number.

Boost your score What is 1/12 as a decimal img

Note that the digit 8 is not repeated and hence the bar has to be drawn only for the digits that are repeated.

Remember

Here are some common terms you should be familiar with.

In the fraction

, the number 1 is the dividend (our numerator)

The number 12 is our divisor (our denominator).

Find More Fractions to Decimals

1/1 = 1

1/8 = 0.125

3/4 = 0.75

7/9 = 0.7

11/16 = 0.6875

8/9 = 0.8

7/8 = 0.875

4/5 = 0.8

1/2 = 0.5

1/9 = 0.1

2/5 = 0.4

3/10 = 0.3

15/32 = 0.4687

7/10 = 0.7

5/9 = 0.5

4/7 = 0.571

1/3 = 0.3

1/10 = 0.1

5/6 = 0.83

2/11 = 0.18

3/5 = 0.6

3/11 = 0.27

9/10 = 0.9

1/4 = 0.25

1/11 = 0.09

2/7 = 0.28571

5/11 = 0.45

3/7 = 0.428571

6/11 = 0.54

4/11 = 0.36

1/5 = 0.2

1/12 = 0.083

5/7 = 0.71428

8/11 = 0.72

6/7 = 0.85714

7/12 = 0.583

7/16 = 0.4375

1/6 = 0.16

1/16 = 0.0625

3/8 = 0.375

5/12 = 0.416

5/8 = 0.625

5/16 = 0.3125

15/16 = 0.9375

1/7 = 0.142857

2/3 = 0.6

2/9 = 0.2

3/16 = 0.1875

The decimal number 24.7 represents the average mileage of the vehicle.

Statistics is the study of collection, analysis, interpretation, and presentation of data or discipline to collect and summarise the data.

A famous magazine tests vehicles and trucks for mileage out and about and around the city. the magazine reports that half of the vehicles tried had mileages beneath 24.7 mpg out and about, and the other half of the vehicles tried had mileages above 24.7 mpg.

The decimal number 24.7 means the vehicle can cover 24.7 miles with each gallon of gas.

The decimal number 24.7 represents the average mileage of the vehicle.

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A data analyst uses bias()  to find out how much the predicted outcome and the actual outcome of their data model differ.

The act of unfairly favoring or opposing a certain person or item due to allowing your judgment to be influenced by your opinions: The senator charged bias on the part of the media. Journalists must be unbiased and free from political bias.

There is a lack of objectivity in the way we view things. Both intentional and inadvertent biases are possible. When given an option, a person might prefer one shirt over two others if it also happens to be their favorite color.

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The equation of the transformed function is g(x) = (x - 3)⁴ - 1

From the question, we have the following function that can be used in our computation:

f(x) = x⁴

Transformation = translated 3 units to the right and 1 unit down

Mathematically, this can be represented as

g(x) = f(x - 3) - 1

Substitute the known values in the above equation, so, we have the following representation

g(x) = (x - 3)⁴ - 1

Hence, the transformed function is g(x) = (x - 3)⁴ - 1

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[tex]6x^2=6[/tex]

Divide both sides by 6:

[tex]\dfrac{6x^2}{6} =\dfrac{6}{6}[/tex]

[tex]x^2=1[/tex]

Take square root:

[tex]x=\pm\sqrt{1}[/tex]

[tex]\fbox{x = 1 or x = -1}[/tex]

Angle DCE = 91°

Hope it helps

The sum of the infinite geometric series 16 + 12 + 9 + ... is 64.

To find the sum of an infinite geometric series, you can use the formula:

sum =[tex]\frac a{(1 - r)}[/tex]

where "a" is the first term in the series and "r" is the common ratio between terms.

In this case, the first term is 16 and the common ratio is 3/4, so the sum is:

sum [tex]= \frac{16}{(1 - \frac{3}4)} =\frac{16}{(\frac{1}4)} = 64[/tex]

Therefore, the sum of the infinite geometric series 16 + 12 + 9 + ... is 64.

Note that this formula is only valid if the absolute value of the common ratio is less than 1. If the absolute value of the common ratio is 1 or greater, the series will either converge to a finite value or diverge to infinity, and the sum cannot be calculated using this formula.

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The solution to the inequality - 5.3 + x > 21 is x > 26.3

In mathematics, inequality refers to a relation which makes a non-equal comparison between two numbers or other mathematical expressions. In other words, it is a relationship between two expressions or values that are not equal to each other. It is used generally used to compare two numbers on the number line by their size.

In order to solve the given inequality - 5.3 + x > 21, add 5.3 both sides.

- 5.3 + x + 5.3 > 21 + 5.3

x > 26.3

The solution means that the value of x is greater than 26.3. The solution is graphed on a number line.

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Answer Reformatting the input :

Changes made to your input should not affect the solution:

(1): "y4"   was replaced by   "y^4".  2 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

 0-(((4•(x3))•(y2))•7xy4)

STEP

2

:

Equation at the end of step

2

:

 0 -  ((22x3 • y2) • 7xy4)

STEP

3

:

Final result :

 ( -22•7x4y6)

The point 4 units along the curve (in the direction of increasing t) from P exists as t = ln |L/2 + 1|.

When a particle's position in space is represented as a function of time by a vector-valued function, the arc-length function calculates the particle's travel distance as a function of time.

The length of an arc is the separation of two locations along a segment of a curve. Curve rectification is the process of measuring an irregular arc segment's length by simulating the section as a network of connected line segments. A rectifiable curve can be broken down into a finite number of segments.

(a) Let the given function be r(t) = [tex]e^t[/tex] sin t i + √2 [tex]e^t[/tex] k

To find the arc length of the function, we have:

[tex]& \mathrm{r}^{\prime}(\mathrm{t})=\mathrm{e}^t \\[/tex]

[tex]& \mathrm{r}^{\prime}(t)=(\cos t+\sin t) e^t+(\cos t-\sin t) e^t+\sqrt{2} e^t \\[/tex]

[tex]& \left|r^{\prime}(t)\right|=\sqrt{\left[(\cos t+\sin t) e^t\right]^2+\left[(\cos t-\sin t) e^t\right]^2+\left(\sqrt{2} e^t\right)^2}[/tex]

simplifying the above equation, we get

[tex]& =\sqrt{\left(4 e^{(2 t)}\right)} \\[/tex]

[tex]& =2 \mathrm{e}^t[/tex]

(b) We have the arc length function, L to be the integral from 0 to t, so:

[tex]$& L=\int_0^t 2 e^v \\[/tex]

simplifying the above equation, we get

[tex]& L=2 e^t-2 e^0 \\[/tex]

[tex]& =2 e^t-2 \\[/tex]

[tex]& L=2\left(e^t-1\right) \\[/tex]

simplifying the above equation, we get

[tex]$& L / 2=e^t-1 \\[/tex]

[tex]& L / 2+1=e^t[/tex]

[tex]e^t[/tex] = L / 2+1

t = ln |L/2 + 1|

The complete question is:

A. Find the arc length function for the curve measured from the point P in the direction of increasing t and then reparametrize the curve with respect to arc length starting from P.

b. Find the point 4 units along the curve (in the direction of increasing t) from P.

r(t) = et sin t i + √2 et k, P(0, l ,√2)

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If n is an integer and n3 is divisible by 24, The largest number that must be a factor of n is 8.

N3 is a number that is divisible by 24, meaning it can be expressed as 24k, where k is an integer.

This can further be expressed as 8(3k), meaning that 8 is the largest number that is a factor of 24, and therefore must also be a factor of n3. Consequently, the largest number that must be a factor of n3 is 8.

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The temperature at 6 pm is given as follows:

-40.2 ºF.

To obtain the temperature at 6 pm, we keep looking at the temperature for each interval given in the problem.

At 9 am, the temperature is given as follows:

-10.2ºF.

Between 9am and noon, the temperature rose 1.9°F, hence the temperature at noon is given as follows:

-10.2 + 1.9 = -8.3ºF.

Between noon and 3pm, the temperature dropped 16.4°F, hence the temperature at 3 pm is given as follows:

-8.3 - 16.4 = -24.7ºF.

Between 3pm and 6pm, the temperature dropped 15.5°F, hence the temperature at 6 pm is given as follows:

-24.7 - 15.5 = -40.2 ºF.

(subtracting the decline from the previous temperature, as we did for previous intervals).

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Answer: 19

Step-by-step explanation:

4x in this equation is equal to 4(4), which equal sixteen, adding the three will then get you 19

Answer: 19

Step-by-step explanation:

Insert 4 into the x in the equation.

3+ 4 × 4

Multiply.

4 × 4 = 16

Add.

3 + 16= 19

Hope this helps!

Adam Vinatieri made 14 field goals and 7 extra points.

Given that,

a field goal is 3 points and the field goal after a touchdown is only 1 point.

Adam Vinatieri made 21 field goals and extra point kicks for 49 points.

Let x be the number of field goals and y be the extra point kicks.

So we get,

x + y = 21 -------------(1)

3x + y = 49 -----------(2)

Subtracting equation (1) from equation (2),

2x = 28

 x = 14

putting the value of x in equation (1),

14 + y = 21

       y = 7

Therefore Adam Vinatieri made 14 field goals and 7 extra points.

Field goal means a score of three points in football made by drop kicking or placekicking the ball over the crossbar from ordinary play. A field goal is a successful kick of the ball by a kicker through the goalpost. It is an offensive play that can score three points for a team.

Adam Vinatieri is an American former football placekicker who played in the National Football League.

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The correct answer is : c) As the number of experiments increases, the mean of the observations will approach the mean of the random variable.

Mean of random Variable x :

The expected value of a discrete random variable X, symbolized as E(X), is often called the long-term average or mean (symbolized as μ). This means that if you run the experiment many times over time, you would expect this average. For example, let X = the number of heads you get when you toss 3 fair coins. If we repeat this experiment (tossing 3 fair coins) many times, the expected value of X will be the expected average number of heads per 3 tosses.

Standard Deviation of Random Variable:

A measure of the variance of a random variable distribution that determines how for a value is from its expected value.

The standard deviation of a random variable X is often written as σ or σₓ.

For discrete random variables, the standard deviation is computed by taking the square of the difference between the value of the random variable and the expected value multiplied by the associated probability of the value of the random variable. Calculate the value of a random variable and finally take the square root.

In symbols σ = √ (x - μ)² P(X =x)

The equivalent formula is σ = [tex]\sqrt{E(x^{2}) - [{E(x^2)]}[/tex]

The square of the standard deviation equals the variance Var(X) = σ².

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Answer:

see explanation

Step-by-step explanation:

for the pattern given, we have

position (n) → number of dots

1 → 3

2 → 5

3 → 7

4 → 9

5 → 11

there is a difference of 2 between consecutive dots in the pattern , then

rule is of the form

2n ± ?

the ? is what is required to be added / subtracted to 2n for number of dots

2 × 1 = 2 (+ 1 = 3)

2 × 2 = 4 ( + 1 = 5)

2 × 3 = 6 (+ 1 = 7)

2 × 4 = 8( + 1 = 9)

2 × 5 = 10 (+ 1 = 11)

then 1 requires to be added to 2n to obtain number of dots , so

rule is 2n + 1

position (n) → number of dots

1 → 1 = 1²

2 → 4 = 2²

3 → 9 = 3²

4 → 16 = 4²

5 → 25 = 5²

the number of dots is the square of the position, so

rule is n²

Answer:

The correct answer is (fog)(x) = x² - 6x + 7.

To evaluate (fog)(x), you first need to find g(x) and then substitute the result into f(x).

g(x) = x - 3

So, (fog)(x) = f(g(x)) = f(x - 3) = (x - 3)² - 2 = x² - 6x + 9 - 2 = x² - 6x + 7.

I hope this helps! Let me know if you have any other questions.

Step-by-step explanation:

SELF EXPLANATORY

Answer:

[tex](f \circ g)(x)=x^2-6x+7[/tex]

Step-by-step explanation:

Given functions:

[tex]\begin{cases}f(x)=x^2-2\\g(x)=x-3\end{cases}[/tex]

Function composition is an operation that takes two functions and produces a third function.

The given composite function (f o g)(x) means to substitute the function g(x) in place of the x in function f(x):

[tex]\begin{aligned}(f \circ g)(x)&=[g(x)]^2-2\\&=(x-3)^2-2\\&=x^2-6x+9-2\\&=x^2-6x+7\end{aligned}[/tex]

Answer 3.8 x 104

Step-by-step explanation:

a) The mean number of website searches differs between the day and evening advertisements based on this hypothesis:

[tex]H_{0} :[/tex] μ[tex]_{x}[/tex]-μ[tex]_{y}[/tex] = 0

[tex]H_{a} :[/tex] μ[tex]_{x}[/tex]-μ[tex]_{y}[/tex] ≠ 0

The null hypothesis in the question states that the mean number of website searches does not differ between the day and evening advertisements and the alternative hypothesis states that the mean number of website searches differs between the day and evening advertisements. It can be written as:

[tex]H_{0} :[/tex] μ[tex]_{x}[/tex]-μ[tex]_{y}[/tex] = 0

[tex]H_{a} :[/tex] μ[tex]_{x}[/tex]-μ[tex]_{y}[/tex] ≠ 0

b-1) From the below excel output screenshot the t-test statistical value is I -0.3476.

b-2) From the below excel output the critical t value comes as 2.0017. So, the rejection region includes all the values greater than 2.0017 and less than -2.0017.

c) The calculated t-statistic value is not falling in the rejection region. So we do not reject the null hypothesis.

Do not reject [tex]H_{0}[/tex]. At the 5% significance level, we conclude the mean number of website searches not differ between the day and evening advertisements.

(The below excel screenshot shows the customized formula and the output which is required to find the values required to test the hypothesis.)

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Answer:

  82.4 mg/mm²

Step-by-step explanation:

You want to convert 8.24 g/cm² to units of mg/mm².

Multiply by the conversion factors that cancel the unwanted units, leaving the wanted units.

  [tex]\dfrac{8.24\text{ g}}{\text{cm}^2}=\dfrac{8.24\text{ g}}{\text{cm}^2}\cdot\dfrac{1000\text{ mg}}{\text{g}}\cdot\left(\dfrac{1\text{ cm}}{10\text{ mm}}\right)^2=\dfrac{8.24\cdot1000\text{ mg}}{100\text{ mm}^2}\\\\=\boxed{82.4\text{ mg/mm$^2$}}[/tex]

Answer: 26% and 26/100

Step-by-step explanation:

Use 0.26 as a fraction; 26/100, and use that 26/100 to convert it as a percentage using 26% out of 100% giving you 26%

Answer:  c. [tex]\frac{1}{a}[/tex].

Step-by-step explanation:

10 = 2 - 4(ax - 3)

10 = 2 - 4ax + 12

10 = 14 - 4ax

Minus 14 on both sides.

-4 = -4ax

Divided -4 on both sides.

1 = ax

Divided a by both sides to solve x.

[tex]\frac{1}{a}[/tex] = x

Therefore, the answer is c.

The product of a and b is 140. Hence option B is the correct option.

What is an exponential function?

The formula for an exponential function is f (x) = a^xx, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.

Given exponential equations are

x^8 • x^a = x^64 .....(i)

(x^2) ^b = x ^ 5 .....(ii)

Solve the equation (i) to calculate the value of a:

x^8 • x^a = x^64

Applying the formula of product of two exponents with same base a^b • a^c = a^(b+c):

x^(8+a) = x^64

Now compare the exponent of the above equation:

8 + a = 64

Subtract 8 from both sides:

a = 64 - 8

a = 56

Solve the equation (ii) to calculate the value of b:

(x^2) ^b = x ^ 5

Now applying the formual (a^b)^c = a^ (bc)

x^(2b) = x^5

Now compare the power of x of the above equation:

2b = 5

divide both sides by 2

b = 5/2

The product of a and b is 56 • (5/2) = 140.

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According to the test 0 is not plausible value for the difference between the population means.

What is population mean?

There are various mean types in mathematics, particularly in statistics. Each mean serves to summarize a specific set of data, frequently to help determine the overall significance of a specific data set.

We have

n1 = 504,  x f = 3.13

n2 = 400,  x m = 2.87

(a) Hypothesis: H0: μf = μm   V/s  H1: μf ≠ μm

Yes, because according to the test 0 is not plausible value for the difference between the population means.

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Complete question:

Complete question is attached below.

The true statement about exponential smoothing forecasting model is option (d) The exponential smoothing technique is most useful when short-term forecasts are needed.

Exponent:

In math, exponent tells a number says how many times to use that number in a multiplication.

Given,

Here we need to find the statements about exponential smoothing forecasting model is true.

In order to find the true statement we have to know the definition of exponential smoothing forecasting model.

Exponential smoothing forecasting model also known as ETS model is a family of forecasting models.

And it is used as weighted averages of past observations to forecast new values.

And the idea is to give more importance to recent values in the series. Therefore, as observations get older in time, the importance of these values get exponentially smaller.

Based on these explanation we have identified that option (d) is correct.

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This takes into account the fact that each of the angles has an opposite ray on its other side in addition to the common side they share.

When two rays are linked at their ends, they create an angle in geometry. The sides or arms of the angle are what are known as these rays.

When two lines meet at a point, an angle is created.

An "angle" is the measurement of the "pening" between these two rays. It is symbolized by the character. The circularity or rotation of an angle is often measured in degrees and radians.

Angles are a common occurrence in daily life.

Angles are used by engineers and architects to create highways, structures, and sports venues.

Hence, This takes into account the fact that each of the angles has an opposite ray on its other side in addition to the common side they share.

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Answer:

1/3

Step-by-step explanation:

rise/run is rate of change

On September 16, 2011, U.S. President Barack Obama approved the Leahy-Smith America Invents Act (AIA). The AIA changed U.S. Patent law from a first-to-invent system to a first-to-file one following years of dispute.

The first inventor of the claimed invention may be given a patent, according to long-standing U.S. patent law. The goal of this rule was to provide equal opportunity for small businesses to compete with "the big dogs" in the field of developing technology.

The argument was that these tiny, occasionally one-person operations lacked the legal infrastructure required to prepare and submit patent applications in a timely manner. The costs of establishing inventorship in front of the U.S. Patent and Trademark Office (USPTO) or federal judges may have, regrettably, outweighed the advantages of the first-to-invent system. In order to prove their claims in one forum or another, the creators of competing technologies ultimately had to navigate a maze of rules and standards. These legal actions were expensive for many small businesses.

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There is a non zero probability of the particle in the state of finite potential .

It is an extension of the infinite potential well, in which a particle is confined to a "box", but one which has finite potential "walls". Unlike the infinite potential well, there is a probability associated with the particle being found outside the box. The quantum mechanical interpretation is unlike the classical interpretation, where if the total energy of the particle is less than the potential energy barrier of the walls it cannot be found outside the box. In the quantum interpretation, there is a non-zero probability of the particle being outside the box even when the energy of the particle is less than the potential energy barrier of the walls (cf quantum tunnelling).

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