what is derivative calculator symbolab

We can solve the sudoku provided by first looking at the numbers that have fewest possibilities, that is, that appear in larger quantities, as seen below:

5   3   4   6   7   8   9   1   2

6   7   2   1   9   5   3   4   8

1   9   8   3   4   2   5   6   7

8   5   9   7   6   1   4   2   3

4   2   6   8   5   3   7   9   1

7   1   3   9   2   4   8    5   6

9   6   1   5   3   7   2   8   4

9   6   1   5   3   7   2   8   4

2   8   7   4   1   9   6   3   5

3   4   5   2   8   6   1   7   9

Sudoku is a number puzzle game that involves filling in a 9x9 grid with digits from 1-9, with the objective being to ensure that each row, column, and 3x3 sub-grid contains all of the digits from 1 to 9.

To solve a sudoku puzzle, it is best to start with the easiest cells first, usually those with the fewest possibilities. Look for cells that only have one possible answer and fill them in. Then, move on to more difficult cells and use logic and deduction to fill in the remaining numbers. It is also helpful to use pencil marks to keep track of possible numbers for each cell. The key to solving sudoku is to be patient, persistent, and to use logic and deduction to work through the puzzle.

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The vertex is (-1, -6) and the axis of symmetry is -1. The function is minimum. The solution has been obtained by using equation of parabola.

What is a parabola?

Any point on a parabola is equally separated from both the focus, or predetermined point, and the fixed straight line (known as the directrix).

We are given f(x) = 2(x + 1)² - 6

We know that a parabola of equation a(x - h)² + k always has its vertex at (h, k) with axis of symmetry at x = h.

So, the vertex here is (-1, -6) and the axis of symmetry is x = -1.

It is a minimum function because there is a positive value before (x - h)².

Hence, the vertex is (-1, -6) and the axis of symmetry is -1 and the function is minimum.

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The value of z is given as follows:

z = 3.5.

Similar triangles are triangles that share these two features presented as follows:

Considering that the two triangles in this problem are similar, the proportional relationship for the side lengths is given as follows:

z/7  =3/6 = 1/2.

Hence:

z/7 = 1/2.

Applying cross multiplication, the value of z is given as follows:

2z = 7

z = 7/2

z = 3.5.

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Yes, mathematical phrases can be considered as polynomials. Because the mathematical sentences conform to the definition of polynomial.  

A polynomial is a mathematical expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents.

Mathematical phrases, such as:

"3x^2 + 2x - 5" or "2y^3 - 4y + 1"

Are examples of polynomials because they only involve the operations of addition, subtraction, multiplication, and non-negative integer exponents. Therefore, mathematical phrases can be considered as polynomials.

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The table representing the relationship between hours of lawn care and the amount of money the company charges is:

8 $220

10 $275

12 $330

14 $385.

Equations are mathematical expressions with two algebraic expressions flanking the equals (=) symbol on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS (left hand side equals right hand side) is the most widely accepted theorem.

Let x be the charge of lawn care for 1 hour.

Given, charge for 4 hours of lawn care =$110

So, x= Amount charged/ Hours of lawn care

x=110/4

x=27.5

Now, the company charges $27.5 for 1 hour of lawn care.

So now we can find the amount charged by the company for

"y" no. of hours by using the equation. x × y = z

Here x, y and z are variables, where x is the charge of lawn care for 1 hour. y is the number of hours of lawn care and z is the total amount

charged by the company.

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We can estimate that approximately 35 gas stations sell a gallon of regular gas for no more than $2.01.

What is the percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%". The percentage can be calculated by dividing the value by the total value and then multiplying the result by 100.

a) To find the percentage of gas stations that sell regular gas for less than $1.973, we need to calculate the z-score corresponding to this value:

z = (1.973 - 2.05) / 0.47 = -0.164

Using a standard normal distribution table or calculator, we can find that the percentage of gas stations selling regular gas for less than $1.973 is approximately 44.38%.

b) To find the percentage of gas stations selling regular gas for at least $2.17, we can calculate the z-score corresponding to this value:

z = (2.17 - 2.05) / 0.47 = 0.255

Using a standard normal distribution table or calculator, we can find that the percentage of gas stations selling regular gas for at least $2.17 is approximately 40.86%.

c) To find the probability that a gas station sells regular gas for less than $1.97 or greater than $2.05, we can calculate the z-scores for each value:

z1 = (1.97 - 2.05) / 0.47 = -0.164

z2 = (2.05 - 2.05) / 0.47 = 0

Using a standard normal distribution table or calculator, we can find the probabilities corresponding to each z-score:

P(z < -0.164) = 0.4364

P(z > 0) = 0.5 - 0.5(0) = 0.5

To find the probability that a gas station sells regular gas for less than $1.97 or greater than $2.05, we can add these probabilities:

P(z < -0.164 or z > 0) = P(z < -0.164) + P(z > 0) = 0.4364 + 0.5 = 0.9364

Therefore, the probability that a gas station sells regular gas for less than $1.97 or greater than $2.05 is approximately 93.64%.

d) To find the number of gas stations that sell regular gas for no more than $2.01, we can calculate the z-score corresponding to this value:

z = (2.01 - 2.05) / 0.47 = -0.085

Using a standard normal distribution table or calculator, we can find the probability corresponding to this z-score:

P(z < -0.085) = 0.4664

Multiplying this probability by the total number of gas stations (75), we can estimate the number of gas stations that sell regular gas for no more than $2.01:

0.4664 * 75 ≈ 35

Therefore, we can estimate that approximately 35 gas stations sell a gallon of regular gas for no more than $2.01.

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Complete question:

The price of a gallon of regular gasoline at 75 What percent of gasoline gas stations sell gallons of gas stations across the state is normally regular gas for less than $1.973 distributed with & a mean of $2.05 and a standard deviation of 47. b) What percent of gas stations sell a gallon? regular gas for at least $2.17? c) What is The probability that gas station sells gallons of regular gas for less than $1.97 or greater than $2.05? About how many stations sell a gallon of regular gas for no more than $2.01?

86 inches are equivalent to 7.17 feet

To convert inches to feet, you can divide the number of inches by 12 (since there are 12 inches in a foot):

86 inches ÷ 12 inches/foot = 7.17 feet

The units of measurement used to measure length or distance are inches and feet. One inch is equivalent to one-twelfth of a foot, while one foot is equal to twelve inches. As a result, you may easily convert feet to inches by multiplying the number of feet by 12. 36 inches, for instance, is equivalent to 3 feet (3 feet x 12 inches/foot).

Divide the number of inches by 12 to convert the measurement to feet. As an illustration, 24 inches (12 inches per foot) equals 2 feet.

Inches and feet are often used to measure an object's height, breadth, and length in the United States.

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The value  1 gallon has 128 fluid ounces(oz)

"How many ounces in a gallon?" This is one of the most frequently asked questions regarding liquid measurements. One gallon equals 8 pints, 4 quarts, or 16 cups. There are 128 fluid ounces in a gallon, and this number depends on whether you use imperial or metric units of measure.

There are 128 US fluid ounces in a US gallon. If you're in the UK, you'll find a gallon at 160 UK fluid ounces. This is because the US fluid gallon is smaller than the British imperial gallon (3,785 liters compared to

,5

6 liters). When converting

Gallons to Fluid Ounces, remember that the US Fluid Ounce is larger than the British Imperial Ounce. A US fluid ounce is 29.5735 ml. For comparison, a UK (Imperial) fluid ounce is 28.

131 ml. So the US has a smaller gallon than the UK, but a slightly larger fluid ounce. It's enough to make your head  explode. For these two conversions you need the following information:

1 gallon (US) = 128 ounces (US, Fluid)

1 gallon (UK) = 160 ounces (UK, Fluid)

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five-ninths times four equals two and two-ninths.

What is an Algebraic Expression?

An algebraic expression is a combination of numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division. It is a mathematical phrase that can contain one or more terms separated by mathematical operators.

For example, 3x + 4y - 2z is an algebraic expression that contains three terms: 3x, 4y, and -2z. Each term is made up of a coefficient and a variable, where the coefficient is the numerical value that multiplies the variable.

In algebraic expressions, variables are used to represent unknown values, and the expression can be evaluated by substituting known values for the variables. For instance, if x = 2, y = 3, and z = 1, then the expression 3x + 4y - 2z can be evaluated as 3(2) + 4(3) - 2(1) = 12.

Algebraic expressions can also include exponentiation, roots, and other advanced mathematical operations. They are widely used in mathematics and other fields, such as physics and engineering, to represent relationships between variables and to model real-world situations

To solve five-ninths times four, we multiply 5/9 by 4, which gives:

5/9 x 4 = 20/9

So, the expression "five-ninths times four" is equal to 20/9.

Out of the options given, the answer closest to 20/9 is "two and two-ninths," which can be written as 20/9. Therefore, the answer is:

Therefore, five-ninths times four equals two and two-ninths.

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89 centimeter is approximately equal to 35.0394 inches ( rounded to four decimal places )

To convert 89 cm to inches, we can use the following formula:

1 cm = 0.393701 inches

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

Therefore,

The length in inches = conversion factor × The length in centimeter

Substitute the values in the equation

89 cm = 89 x 0.393701

Multiply the numbers

= 35.0394 inches ( rounded to four decimal places )

Therefore, 89 centimeter is 35.0394 inches

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Answer:

The cost of the computer is 712 and the cost of the printer is 350. This can be calculated by setting up a simple equation: x + 2x = 1062, where x is the cost of the printer. Solving for x gives x = 350, which means that the cost of the printer is 350 and the cost of the computer is 2x = 2(350) = 712.

The image of vertex Z after a 90 degree counterclockwise rotation about the origin is (-34, -1). To find the coordinates of the image points for X and Y, we would need to know their coordinates as well.

Although the question is a little challenging to understand as worded, I'll do my best to respond.

Here is what I believe you are asking, assuming "verticals eggs" is a typo and you meant "vertex angles" and "Z bar" is a typo and you meant "Z = (-1, 34)":

Triangle XYZ has vertex angles at X and Y and vertices at X, Y, and Z. Pointed at is Vertex Z (-1, 34). What are the coordinates of the picture points for the triangle XYZ if the triangle is rotated 90 degrees anticlockwise about the origin?

We can use the following rotation matrix to rotate the origin 90 degrees anticlockwise:

R = [sin(90); cos(90); cos(90)-cos(90)]

R = [0 -1; 1 0]

We may represent the coordinates of each point in the triangle as a column vector and then multiply by the rotation matrix to apply this matrix to each point in the triangle:

[X'; Y'] = R * [X; Y]

[Z'] = R * [Z; 1]

(Notice that we make the Z coordinate a homogeneous coordinate by adding a third component of 1 to it.)

We are unable to provide the precise coordinates of the image points without knowing the X and Y coordinates. However, we can multiply matrices using the Z coordinate that is provided:

[Z'] = R * [-1; 34; 1]

[Z'] = [(-1) * 0 + 34 * (-1) + 1 * 0; (-1) * 1 + 34 * 0 + 1 * 0; (-1) * 0 + 34 * 0 + 1 * 1]

[Z'] = [-34; -1; 1]

Hence, vertex Z's image following a 90° anticlockwise rotation of the origin is (-34, -1). We would also need to know their coordinates in order to determine the coordinates of the image points for X and Y.

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Integral is a mathematical concept that is used to calculate the area under a curve between two points or to find the total accumulation of a quantity over a given interval.

The integral of a function is represented by the symbol ∫ and is also known as the "antiderivative" or "primitive" of the function. It is the opposite of the derivative operation, which finds the rate of change of a function at a given point. Instead, the integral finds the original function whose derivative is the given function.

The process of finding the integral of a function is called integration, and it involves summing up an infinite number of small areas under the curve of the function. The result of the integration is a new function that represents the area under the curve of the original function between the given limits of integration. It is an important tool in calculus and is used to solve a wide range of mathematical problems.

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The variance for the sum of the squared deviation scores is SS = 20 for a sample of n = 5 scores is 5.

The formula for the variance of a sample is:

[tex]s^2[/tex] = SS / (n - 1)

where SS is the sum of squared deviation scores, n is the sample size, and [tex]s^2[/tex] is the variance.

In this case, SS = 20 and n = 5, so we can substitute these values into the formula:

[tex]s^2[/tex] = 20 / (5 - 1)

[tex]s^2[/tex] = 5

Therefore, the variance for this sample is 5.

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Recognizing that sin(30º) = 1/2, the exact value of sin(120º) is √3/2.

The exact value of sin(120˚) can be found by using the double angle formula for sine. The formula is:
sin(2θ) = 2sinθcosθ

Since we are given that sin(30˚) = 1/2, we can substitute 30˚ for θ in the formula to find sin(120˚):
sin(120˚) = 2sin30˚cos30˚
sin(120˚) = 2(1/2)(√3/2)
sin(120˚) = √3/2

Therefore, the exact value of sin(120˚) is √3/2.

Note that to solve this type of problem it is crucial to know different types of trigonometric identities.

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The actual size of 2×4 is 1.5 inches by 3.5 inches

The measurement is 2 × 4

Assuming you are referring to lumber sizes, a 2x4 piece of lumber has actual dimensions of 1.5 inches by 3.5 inches

If we convert to the centimeter then the actual size will be 3.81 cm by 8.89 cm

The name "2x4" refers to the rough dimensions of the lumber before it is planed and smoothed, which are typically about 2 inches by 4 inches. However, the planing process reduces the size of the lumber by about 0.5 inches in both dimensions.

Therefore, the actual size is 1.5 inches by 3.5 inches

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The method to convert mililitres to litres is the formula - Quantity in litres = quantity in mililitres/1000.

Remember that ml is the unit of volume which is abbreviated to mililitres. Now, going to the relation between mililitres and litres. We are aware that 1 litre is equal to 1000 mililitres. So, converting mililitres to litres, we need to use the following formula -

Quantity in litres = quantity in mililitres/1000

Using an example to verify the mentioned relation. Let us say we have 4000 mililitres of acid. So, what will be the volume of acid in litres.

Quantity of acid in litres = 4000/1000

Performing division

Quantity of acid in litres = 4 litres

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Answer: I think it’s A). linear

Step-by-step explanation: linear is the process of something increasing or decreasing at a constant rate, in this case it would be the heat going down at a constant rate of 50 degrees every 10 minutes

A quart contains 32 ounces. This is true for both dry and liquid ounces.

In the United States, the conventional system of measurement—in which dry measurements are reported in weight ounces and volume measurements are given in fluid ounces—is frequently employed. Four cups, two pints, or 32 fluid ounces make up a quart.

It's crucial to keep in mind that the density of a component might affect how much an ounce weighs when weighing dry ingredients.

For instance, due to the difference in their densities, one fluid ounce of flour will weigh less than one fluid ounce of sugar. Nonetheless, regardless of the density, each fluid ounce has a standard weight when measuring volume using fluid ounces.

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The question is -

what are ounces in a quart?

3.5 kg is approximately equal to 7.7162 pounds ( rounded to four decimal places )

The conversion factor to convert kg to pounds is 2.20462

1 kg = 2.20462 pounds

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in pounds = The mass in kg × conversion factor

Substitute the values in the equation

1 kg = 2.20462 pounds

3.5 kg =  3.5 × 2.20462

Multiply the numbers

= 7.7162 pounds  ( rounded to four decimal places )

Therefore, 3.5 kg is 7.7162 pounds

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Regression line is used to make predictions about the values of y for a given x-value and to determine the strength of a linear association between two variables. The correct answer is option D.

The regression line is a straight line that best represents the relationship between two variables. It is commonly used in statistics and data analysis to make predictions about one variable based on the other variable. The regression line can also be used to determine the strength of the linear association between the two variables.

Option A is correct because the regression line can be used to make predictions about the values of y for a given x-value. Once the regression line has been calculated, it can be used to estimate the value of y for any given value of x. This is particularly useful in situations where it is not feasible or practical to obtain the actual value of y for a given x.

Option B is also correct because the regression line provides a measure of the strength of the linear association between two variables. The slope of the regression line indicates the direction and strength of the relationship between the two variables.

A positive slope indicates a positive relationship, while a negative slope indicates a negative relationship. The closer the slope is to zero, the weaker the relationship between the two variables. Therefore, Correct option is D - Both A and B.

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The area of the purple ring is 10,843.079 ft²

Remember that for a circle of radius R the circumfernce is:

C = 2*3.14*R

Here we know that the circumference of the inner circle is C = 221.056 ft

Then the radius will be:

221.056 ft = 2*3.14*R

221.056 ft/(2*3.14) = R

35.2 ft = R

Then the radius of the outer circle is:

R' = 35.2ft + 33.3ft = 68.5 ft

The area of the ring is the diffence between the areas of the larger circle and the smaller circle, then:

area = 3.14*( (68.5 ft)² - (35.2 ft)²) = 10,843.079 ft²

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The total amount of space taken up on the sign by the letters in Hannah's name is between 3 and 4 whole numbers.

If each letter takes up 5/8 inch of space, then the total amount of space taken up by all 6 letters in Hannah's name is:

6 letters × 5/8 inch per letter = 30/8 inches = 3 6/8 inches = 3 3/4 inches

To find the range of whole numbers between which 3 3/4 inches falls, we can convert 3 3/4 to an improper fraction:

3 3/4 = (4 × 3 + 3)/4 = 15/4

Now we can find the two whole numbers that 15/4 is between by dividing 15 by 4:

15 ÷ 4 = 3 with a remainder of 3

So 15/4 is between 3 and 4, specifically:

3 < 15/4 < 4

Therefore, the total amount of space taken up on the sign by the letters in Hannah's name is between 3 and 4 whole numbers.

A fraction is a mathematical concept that represents a part of a whole. It is typically written in the form of one number (the numerator) over another number (the denominator), separated by a horizontal line. For example, 3/4 is a fraction where the numerator is 3 and the denominator is 4.

The numerator represents how many parts of the whole we are referring to, and the denominator represents the total number of equal parts that make up the whole. So, 3/4 represents 3 out of 4 equal parts of a whole. Fractions are used to represent quantities that are not whole numbers, such as 1/2, 3/5, and 7/8.

Fractions are used in many different areas of math and everyday life, such as in measurement, cooking, and finance. They are also an important concept in understanding other mathematical ideas like decimals and percentages.

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Option A. 57. Roman numerals use letters from the Latin alphabet to represent numbers. The Roman numeral LVII represents the number 57.

The basic symbols used in the Roman numeral system are I, V, X, L, C, D, and M, which represent the numbers 1, 5, 10, 50, 100, 500, and 1,000, respectively. By combining these symbols, larger numbers can be formed.

In the case of LVII, the symbol L represents 50, the symbol V represents 5, and the symbol II represents 2. To get the total value of the Roman numeral, we add up the values represented by each symbol. So:

LVII = L + V + II

= 50 + 5 + 2

= 57

Therefore, the Roman numeral LVII represents the number 57.

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What number does the roman numeral LVII represent?

A. 57

B. 58

C. 59

D. 60

The congruence rule is the ASA (Angle-Side-Angle) rule of congruence

The triangle EFD is congruent to triangle STR.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Here, we have,

In the figure shown:

The side FD= RT belong to both △EFD and △STR

Since the two triangles, △EFD and △STR, have two congruent angles and an included side,  △EFD and △STR are congruent according to the ASA rule.

The ASA rule states that if two angles and an included side of one triangle are congruent to the two angles and an included side of another triangle, then the two triangles are also congruent.

Hence, The congruence rule is the ASA (Angle-Side-Angle) rule of congruence. The triangle EFD is congruent to triangle STR.

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In observational studies, the variable of interest is controlled.

Hence option c is correct.

Observational study is defined as a type of study where the individuals are observed and / or certain outcomes are measured from it. No further efforts are made to influence the outcome.

Variable of interest in observational study is referred to a changing quantity that is measured for the purpose of study.

The variable of interest in observational studies are controlled in order that the data can be obtained about the way the factors influence another variable which is referred to as the response variable, or in simple words to understand the response.

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The estimate of 5/8 - 1/10 is 0.5, which is option B.

What is division in mathematics?

In mathematics, division is an arithmetic operation that is used to split a quantity into equal parts or to find the number of times one quantity is contained within another quantity. It is the inverse operation of multiplication, and is represented by the symbol "÷" or "/".

To estimate 5/8 - 1/10, we can round 5/8 to the nearest tenth, which is 0.6, and round 1/10 to the nearest tenth, which is 0.1. Then we can subtract them to get an estimate of the difference:

5/8 - 1/10 ≈ 0.6 - 0.1 = 0.5

Hence, the estimate of 5/8 - 1/10 is 0.5, which is option B.

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Answer:

I don’t understand

Step-by-step explanation:

I had the same one

The Olson family drinks milk at a rate of 1/6 gallon per day.

To find the rate at which the Olson family drinks milk, we need to divide the amount of milk they drink by the time it takes them to drink it.

They use up a 1/2-gallon jug every 3 days, so their rate of milk consumption is:

(1/2 gallon) ÷ (3 days) = 1/6 gallon per day

A gallon is a unit of volume measurement commonly used in the United States and some other countries. There are different types of gallons, but the most commonly used ones are:

US liquid gallon (abbreviated as "gal" or "US gal"): This is a unit of volume used for measuring liquid substances. It is defined as exactly 3.785411784 liters or approximately 0.83267418 Imperial gallons.

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Answer:

8/100 or 2/25

Step-by-step explanation:

The decimal 0.08 can be written as the fraction 8/100 or, in simplest form, 2/25.