what is inverse tangent derivative?

The substitution method calculator online shows the substitution method's result for the pair of linear equations.

One way to solve a system of linear equations with one or more unknown variables in mathematics is the substitution method. For the purpose of solving simultaneous equations, the substitution method is regarded as an algebraic technique. By resolving the equations, this method allows one variable's value to be determined. Any of the preceding equations can be solved by replacing the first variable's value for another variable.

The substitution technique calculator should be used as follows:

Step 1: Type the linear equations' coefficients into the input field.

Step 2: Then, select "Solve" to see the outcome.

Step 3: Lastly, the output field will show the value of the variables x and y in the linear equations solved using the substitution approach.

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45 is 5 times as many as 9 and is 9 times as many as 5.

We have the following statement -

45 is x times as many as 9 and is y times as many as 5

We have to find x and y.

A number 'n' is 'a' times as many as 'b'. Then n equals to ?

n will be equal to -

n = ab

According to the question -

45 is x times as many as 9 and is y times as many as 5. Using the method shown above we can write two equations -

45 =  x 9     ---(1)

and

45 = y x 5     ---(2)

Now -

Solving both, we get -

x = 5 and y = 9

Hence, 45 is 5 times as many as 9 and is 9 times as many as 5.

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a. The hypothesis test is right-tailed.

b. The P-value is 0.2525.

c. Using a significance level of a = 0.01, we fail to reject the null hypothesis .

a) The hypothesis test is right-tailed because the alternative hypothesis is p > 0.4.

b) To find the P-value, we need to use a standard normal distribution table or a calculator. Since the test statistic is positive, we look for the area to the right of z = 0.67. Using a standard normal distribution table or a calculator, we find that the area to the right of z = 0.67 is 0.2525. This is the P-value.

c) Using a significance level of a = 0.01, we compare the P-value to the significance level. The P-value is greater than the significance level, so we fail to reject the null hypothesis . There is not enough evidence to support the claim that p > 0.4 at the 1% significance level.

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The given question is incomplete, the complete question is :

The test statistic of z = 0.67 is obtained when testing the claim that p>0.4. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a = 0.01, should we reject null hypothesis or should we fail to reject null hypothesis?

The equation of linear function which relate y to x is,

⇒ y = - 4x - 2

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (- 2, 6) and (- 1, 2).

Now,

Since, The equation of line passes through the points (- 2, 6) and (- 1, 2).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (2 - 6) / (- 1 - (-2))

m = - 4 / 1

m = - 4

Thus, The equation of line with slope - 4 is,

⇒ y - 6 = - 4 (x - (-2))

⇒ y - 6 = - 4 (x + 2)

⇒ y = - 4x - 8 + 6

⇒ y = - 4x - 2

Therefore, The equation of linear function which relate y to x is,

⇒ y = - 4x - 2

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The estimated product is  6000

What is estimation?

To make calculations simpler and more realistic, estimation of a number refers to a plausible assumption of the actual value.

Estimation is the process of approximating a quantity with the necessary accuracy.

The result is quickly and roughly determined by rounding off the numbers used in the calculation.

To estimate the product, we first round off the multiplier and the multiplicand to the nearest tens, hundreds, or thousands and then multiply the rounded numbers.

598 ≈ 600

9≈ 10

600*10

= 6000

The estimated product is  6000

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The summation notation calculator is a instrument is frequently referred to as a sigma notation calculator since it makes it simple to calculate the sum of a set of integers, also known as Sigma.

The consecutive addition of a group of numbers is known as a summation. One of the four fundamental arithmetic operations, along with subtraction, multiplication, and division, is addition. For a few numbers, particularly integers, it is easy to do, but with fractions and real numbers, it can be more difficult. This is where our summation calculator might be useful. The numbers can be manually entered or copied and pasted, separated by any non-numerical sign, with the exception of the minus and dot. There are shortcuts for computing the sums of particular sequences.

The lower and upper bounds, a mathematical formula to be used to compute each member of the sum series, and lastly the name of the variable to be used in the sigma expression must all be entered in the "Sigma notation" mode.

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With regards to the probabilities of getting each color in the game played by Larry and Jessica, the correct answer is B. No, the probabilities are NOT equally likely.

In the game being played by Larry and Jessica, the colors that can be picked by either person include:

The probability of picking blue is:

= Number of blue sections / Total sections

= 3 / 8

The probability of picking red is :

= 3 / 8

The probability of picking green is:

= 2 / 8

= 1 / 4

The probabilities are therefore not equally likely.

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The conversion of 3/2 as a decimal is 1.5.

To convert a fraction to a decimal, you can divide the numerator (the top number) by the denominator (the bottom number) using long division, a calculator, or by using a decimal equivalent chart. It's important to note that some fractions have repeating decimals or do not terminate, such as 1/3 or 7/11. In those cases, the decimal representation is either an infinite non-repeating decimal or a repeating decimal.

To convert a fraction to a decimal, you simply divide the numerator (the top number) by the denominator (the bottom number).

So, to convert 3/2 to a decimal, we can perform the following division:

3 ÷ 2 = 1.5

Therefore, 3/2 as a decimal is equal to 1.5.

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Factors of 47 are 1 and 47 which implies that it can only be divided by one and itself.

The number 47 is a prime number, which implies that it can only be divided by one and itself. As a result, the components of 47 are 1 and 47.

Generally, a number's factors are the positive integers that divide it evenly with no residual. The factors of 12 are, for example, 1, 2, 3, 4, 6, and 12, since each of these numbers can be divided into 12 without leaving a leftover.

Yet, there are only two elements in the case of prime numbers, such as 47, which are always 1, and the number itself. This is because, by definition, prime numbers have no divisors other than 1 and themselves.

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Ivan ran a total distance of 550 meters during football practice.

To calculate the total distance Ivan ran, we need to add up the distances he covered in each direction:

To find the total distance, we can add up the absolute values of each distance, since distance is a scalar quantity and is always positive:

Total distance = |300 m| + |(200 m)| + |50 m|

= 300 m + 200 m + 50 m

= 550 m

So Ivan ran a total distance of 550 meters during football practice.

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The Volume 12 oz on converting to millimeter is equivalent to 354.9  milliliters .

The Ounces (oz) is a unit of volume which is used in the US customary system of measurement.

The Milliliters (mL) is a metric unit of volume.

We have to convert 12 ounces to milliliters, we need to use a conversion factor.

⇒ 1 fluid ounce (oz) is = 29.5735 milliliters (mL).

So , to convert 12 ounces to milliliters , we write :

⇒ 12 ounces × 29.5735 mL/ounce = 354.882 mL ≈ 354.9 mL .

Therefore , 12 ounces is approximately equal to 354.9 milliliters.

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Answer: 34

Step-by-step explanation:

The result of multiplying the numbers 17 by 2 is 34.

When you multiply two numbers, you are essentially adding the first number to itself a certain number of times, determined by the second number.

In this case, when you multiply 17 by 2, you are adding 17 to itself two times:

17 + 17 = 34

Therefore, the result of multiplying 17 by 2 is 34.

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The reminder of F(x)  when it is  divided by x-3 by using the factorizing method is equal to 8.

The Remainder Theorem is a method to Euclidean polynomial division. According to this theorem, dividing a polynomial P(x) by a factor (x - a), which is not an element of the polynomial, yields a smaller polynomial and a remainder.

"f(x) is divided by (x - 3)" is the mathematical expression for the statement.

[tex]\frac{x^4 -5x^2-6x-10}{x-3}[/tex]

factorize the numerator in the above expression.

[tex]\frac{x^4-3x^3+3x^3-9x^2+4x^2-12x+6x-18+18-10}{x-3}[/tex]

Further simplify the above expression.

[tex](x^3+3x^2+4x+6) + \frac{8}{x-3}[/tex]

Thus, when f(x) is divided by (x - 3), the remaining is 8.

The Remainder Theorem starts with a polynomial, say p(x), where "p(x)" is a polynomial p with x as a variable. Then, according to the theorem, divide that polynomial p(x) by some linear factor x - a, where an is just some number. A lengthy polynomial division is performed here, yielding some polynomial q(x) (the variable "q" stands for "the quotient polynomial") and a polynomial remainder is r. (x). It may be stated as follows:

q(x) + r = p(x)/x-a (x)

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The mass of the yogurt is 99 grams.

A ratio is a numerical relationship showing how often one value includes or is included inside another. It is used to compare two numbers.

Given:

A dessert contains yogurt and fruit inside.

The total mass of the dessert = 165 grams.

And the ratio of the mass of fruit to the mass of yogurt is 2 : 3.

Let the mass of the fruit is 2x and the mass of the yogurt is 3x.

So, 2x + 3x = 165

5x = 165

x = 165/5

x = 33

The mass of the yogurt is 33(3) = 99 grams.

Therefore, the required mass is 99 grams.

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The answer is that there are 8 green pins and 12 yellow pins remaining in the bag after Yaqub gives a green pin to his sister.

Probability is a branch of mathematics that deals with the study of random events or phenomena. It is used to measure the likelihood or chance of an event occurring. Probability is represented as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. For example, if a fair coin is flipped, the probability of getting heads is 1/2, since there is one favorable outcome (heads) out of two possible outcomes (heads or tails).

There are two main types of probability: theoretical probability and empirical probability.

Theoretical probability is based on mathematical calculations and assumes that all outcomes are equally likely. For example, the theoretical probability of rolling a six on a fair die is 1/6, since there is one favorable outcome out of six possible outcomes.

Empirical probability is based on observations and experiments and reflects the actual frequency of an event occurring. For example, the empirical probability of rolling a six on a particular die after many rolls may be different from the theoretical probability due to factors such as bias or chance.

Probability is used in many real-life situations, such as in games of chance, insurance, stock market analysis, and weather forecasting. It is also used in various fields of science, such as physics, biology, and chemistry, to model and analyze the behavior of complex systems.

Let's start by using algebra to represent the information given in the problem.

Let G be the number of green pins in the bag, and Y be the number of yellow pins in the bag. We know that:

G + Y is the total number of pins in the bag.

G/(G + Y) = 3/7, since 3/7 of the pins are green.

(G - 1)/[(G - 1) + Y] = 2/5, since after Yaqub gives a green pin to his sister, there are (G - 1) green pins remaining out of (G - 1 + Y) total remaining pins.

To solve for G and Y, we can use algebra to manipulate the equations:

G/(G + Y) = 3/7 can be simplified to 7G = 3(G + Y), which gives us 4G = 3Y.

(G - 1)/[(G - 1) + Y] = 2/5 can be simplified to 5(G - 1) = 2(G - 1 + Y), which gives us 3G - 2Y = 3.

We now have two equations with two variables, so we can solve for G and Y using substitution or elimination. For simplicity, we will use substitution.

From 4G = 3Y, we can solve for Y in terms of G:

Y = (4/3)G

Substituting this into 3G - 2Y = 3, we get:

3G - 2(4/3)G = 3

Simplifying, we get:

G = 9

Therefore, there are 9 green pins in the bag. Using the equation Y = (4/3)G, we get:

Y = (4/3)(9) = 12

So there are 12 yellow pins in the bag. After giving one green pin to his sister, Yaqub has 8 green pins and 12 yellow pins remaining in his bag. To check that 2/5 of the remaining pins are green, we can calculate:

8/(8+12) = 4/10 = 2/5

Therefore, the answer is that there are 8 green pins and 12 yellow pins remaining in the bag after Yaqub gives a green pin to his sister.

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Answer:

Step-by-step explanation:

An equilateral right-angled triangle is impossible to draw. Equilateral means all the sides measure the exact same length. In a right triangle, by definition, the hypotenuse is longer than either of the other sides. so the last choice is the one you want.

Answer:

an equilateral right triangle cannot exist, all angles are 60° and therefore NOT right

Step-by-step explanation:

an equilateral right triangle cannot exist, all angles are 60° and therefore NOT right

ABCD is rhombus with  m 25 = 3x+33 and m/2 = 4x-44, the value of the x is 14.4.

In a rhombus, opposite angles are equal, and the measure of an angle is half the measure of its intercepted arc. Therefore, we have:

m ∠B = m ∠D = 2(m ∠A) = 2(m ∠C)

Also, the sum of the measures of the angles in a quadrilateral is 360 degrees, so we have:

m ∠A + m ∠B + m ∠C + m ∠D = 360

Since ABCD is a rhombus, its diagonals bisect each other at right angles. Therefore, we have:

m ∠BAC + m ∠CBD = 90

Substituting the given angle measures, we get:

2(4x-44) + 2(3x+33) = 360 (using the fact that m/2 = 2m∠A)

8x - 88 + 6x + 66 = 180

14x - 22 = 180

14x = 202

x ≈ 14.4 (rounded to the nearest tenth)

Therefore, x ≈ 14.4.

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The value of cups of water in milliliter can be calculated by simply divide the volume by 236.6 so 150 milliliters can be 0.634 US cups.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

Divide the millilitre volume by the cup size to convert 150 mL to cups: The formula to convert 150 mL to cups is [cups] = 150 / cup size. Following are the outcomes as a result:

Cups to 150 mL =

Please take note that these 150mL to cups conversion figures have been adjusted to five decimals. If you're unsure which cup unit you have, you can find further details on our main page.

In any event, you must first determine the size of your cup before applying the formula or using our converter, which can change any volume, to convert 150mL to cups.

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Answer:

it just dots that all

Step-by-step explanation:

no step need

Answer:

81 2/3

Step-by-step explanation:

69 2/9 - ( - 12 4/9)

= 69 2/9 + 12 4/9

Add the whole parts to get 69 + 12 = 81

Add the fractional parts: 2/9 + 4/9 = 6/9 = 2/3

So
69 2/9 - (-12 4/9) = 81 2/3

If a p-series is 1 np, you can determine if it converges or not. It converges when p > 1. This is how you test a P series convergence.

The situation diverges if the terms are not close to zero. If you are able to fully control a well-known divergent series with the series, it diverges. To determine if a p p -series is converging or diverging, one can apply the p p -series test. If the denominator's power satisfies p>1 p > 1, the series converges; otherwise, it diverges.

A sequence's convergence can be checked using a variety of techniques. We only need to know the sequence's limit at n n to infinity in some cases. If a series of absolute values P |an| is convergent, the series P an is said to be absolutely convergent.The Geometric Series test is the opposite of the P-Series test in that it requires us to locate a variable raised to a number. We are trying to find a raised number that is a variable!

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Answer: Half the side of NL from the original figure.

Step-by-step explanation:

When it is a scale factor of 1/2 all the sides are halved there fore nl is halved.

The length of the leg of the 45-45-90 triangle is 6.

In geometry, the hypotenuse is the longest side of a right-angled triangle, opposite to the right angle.

The longest side of a right-angled triangle, or the side opposite the right angle, is known as the hypotenuse in geometry. The Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides, can be used to determine the length of the hypotenuse.

In a 45-45-90 triangle, the length of each leg is equal to x, and the length of the hypotenuse is √2 times the length of a leg.

So if the hypotenuse is 6√2, then each leg has length:

x = (6√2)/√2 = 6

Hence, the length of the leg of the 45-45-90 triangle is 6.

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The binomial probability distribution is a ​Discrete probability distribution that describes probabilities for experiments in which there are two​ mutually exclusive outcome.

Discrete Probability Distribution:

A discrete probability distribution can be defined as a probability distribution that gives the probability that a discrete random variable has a given value. These distributions represent data with a finite number of possible outcomes. There are two conditions that a discrete probability distribution must satisfy.

1) 0 ≤ P(X = x) ≤ 1. This means that the probability of a discrete random variable X taking the exact value x is between 0 and 1.

2) ∑P(X = x)=1. The sum of all probabilities must be 1.

Mutually exclusive outcome:

Mutual Exclusive Outcome is a statistical term that describes two or more events that cannot occur simultaneously. It is commonly used to describe a situation where one result is replaced by another. For example, war and peace cannot coexist at the same time. This makes them mutually exclusive.

The concept of mutual exclusivity is often used in capital budgeting. A company may have to choose from several projects that, when completed, will add value to the company. Some of these projects are mutually exclusive.

For example, suppose a company has a budget of $50,000 for an expansion project. Projects A and B are mutually exclusive if available projects A and B each cost $40,000 and project C costs $10,000.

If a company is pursuing A, it cannot afford to bully B, and vice versa. Project C can be considered independent. Even if other projects go ahead, the company can still afford to do C. If neither A nor B accepts, the viability of C is not affected, and accepting C does not affect the viability of other projects.

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In this case, when you have a subtraction of -7a^2 and then an addition of +10a^2, you can simplify the expression by adding the coefficients of the two terms that have the same literal and exponent.

So, you have:

-7a^2 + 10a^2

To add or subtract these terms, we need to have the same literal and exponent, which is the case here. The coefficients of the terms are -7 and 10, so we can add them to get:

-7a^2 + 10a^2 = 3a^2

Therefore, the simplified expression is 3a^2.

In summary, when you have terms with the same literal and exponent, you can add or subtract their coefficients to simplify the expression.

The value of fluid ounce in millimeter can be calculated by mutliplyin by 29.574 so 12 fluid ounce is 354.882 millileters.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

Per ounce, there are 29.5735296 millilitres (ml) (oz). As a result, the conversion formula for oz to ml is as follows:

ounce x 29.5735296 = ml

The following is the response to the question "What is 12 oz to ml?" when we enter 12 oz into our formula:

12 x 29.5735296

= 354.8823552 12 oz

≈ 354.882 ml

We have also changed the answer to "12 oz to ml?" into a fraction for your convenience. The fractional response to "12 oz to ml?" is as follows:

12 oz ≈ 354 15/17 ml

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Answer:

4.5%

Step-by-step explanation:

The total percentage decrease in the investor's stock account was 4.5%. This is calculated by taking the decrease in Company A (3%) and Company B (6%) and adding them together to get a total decrease of 9%. This percentage is then divided by two (since there are two companies) to get 4.5%.

1)

The area of the electronic board on the scale drawing is 1800 cm².

2)

Using the scale factor 5:1.

Length:

1 = 50

5 = 250 cm

Width:

1 = 36 cm

5 = 180 cm

3)

The area of the actual electronic board is 45000 cm²

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

Scale factor = 5 : 1

Now,

Electronic board dimensions:

Length = 50 cm

Width = 36 cm

Now,

Area of the electronic board on the scale drawing.

= length x width

= 50 x 36

= 1800 cm²

Now,

Actual dimensions:

Length = 250 cm _____(1)

Width = 180 cm _____(2)

Using the scale factor 5:1.

1 = 50

5 = 250 cm

And,

1 = 36 cm

5 = 180 cm

Area of the actual electronic board.

From (1) and (2)

= 250 x 180

= 45000 cm²

Thus,

The area of the electronic board on the scale drawing is 1800 cm².

The area of the actual electronic board is 45000 cm²

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Answer:

  -5(g -3h +5)

Step-by-step explanation:

You want the factored form of -5g +15h -25.

The coefficient of g inside parentheses is 1, so the coefficient of g in the given expression (-5) must be the factor outside parentheses. You can divide the expression by this value to find the desired numbers:

  [tex]-5g+15h-25=-5\left(\dfrac{-5g+15h-25}{-5}\right)=-5\left(\dfrac{-5}{-5}g+\dfrac{15}{-5}h+\dfrac{-25}{-5}\right)\\\\=\boxed{-5(g-3h+5)}[/tex]