how to convert 33 inches to feet?

Trigonometric functions derivative is a method for calculating how quickly trigonometric functions change in relation to a variable angle.

Differentiation of trigonometric functions refers to the process of determining a trigonometric function's derivatives. In other words, finding the rate of change of the function with respect to the variable is what is meant by the differentiation of trigonometric functions. There are differentiation formulas for the six trigonometric functions that can be applied to a variety of derivative application issues.

The sine (sin x), cosine (cos x), tangent (tan x), cotangent (cot x), secant (sec x), and cosecant are the six fundamental trigonometric functions (cosec x).

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Functional residual capacity (FRC) is the volume of air that remains in the lungs after a normal exhalation.

functional residual capacity  (FRC) is the volume of air that remaining parts in the lungs after a typical exhalation when the muscles of breath are loose. It is the equilibrium point between the outward flexible force of the chest wall and the internal versatile backlash of the lungs. At FRC, there is no air development and the tensions in the lungs and the climate are equivalent.

FRC is a significant estimation in pneumonic capability tests and can be utilized to analyze different respiratory circumstances like obstructive lung illnesses, prohibitive lung sicknesses, and neuromuscular illnesses that influence the respiratory framework.

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Recursive form of sequence is given by f(n)  = f(n-1) - 3

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

The explicit form of sequence is  given as

      f(n) = −3n + 2

So nth term is given by

           f(n) = −3n + 2

(n-1)th term is given by    

           f(n-1) = −3(n-1) + 2

We have

         f(n) -  f(n-1) = −3n + 2 - (−3(n-1) + 2)

          f(n) -  f(n-1) = −3n + 2 +3(n-1) - 2

          f(n) -  f(n-1) = −3n + 2 +3n -3 - 2

          f(n) -  f(n-1) = -3

          f(n)  = f(n-1) - 3

Recursive form of sequence is given by f(n)  = f(n-1) - 3

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Answer:

x=1

Step-by-step explanation:

To find the value of "x", we can start by setting up an equation based on the information given in the problem:

3 + x = 2x - 2

To solve for "x", we can simplify the equation by subtracting "x" from both sides and adding 2 to both sides:

3 + x - x = 2x - 2 - x + 2

3 = x + 2

Finally, we can solve for "x" by subtracting 2 from both sides:

x = 1

Therefore, the number we're looking for is 1.

Knowing the absolute prices of goods X, Y and Z, we obtain their relative prices:

The relative price of a good is the price of that good in terms of another good. It is calculated by dividing the absolute price of one good by the absolute price of another good.

The relative price of X in terms of Y is calculated by dividing the absolute price of X by the absolute price of Y:

Relative price of X in terms of Y = Absolute price of X / Absolute price of Y

X/Y = $23 / $42

X/Y = 0.55

The relative price of Y in terms of Z is calculated by dividing the absolute price of Y by the absolute price of Z:

Relative price of Y in terms of Z = Absolute price of Y / Absolute price of Z

Y/Z = $42 / $56

Y/Z = 0.75

The relative price of Z in terms of X is calculated by dividing the absolute price of Z by the absolute price of X:

Relative price of Z in terms of X = Absolute price of Z / Absolute price of X

Z/X = $56 / $23

Z/X = 2.43

In conclusion, the relative price of X in terms of Y is 0.55, the relative price of Y in terms of Z is 0.75, and the relative price of Z in terms of X is 2.43.

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The linear correlation coefficient for a sample is always b) between -1 and 1, inclusive

The linear correlation coefficient (also known as Pearson's correlation coefficient) is a measure of the strength and direction of the linear relationship between two variables.

It ranges from -1 to 1, with negative values indicating a negative correlation (inverse relationship), positive values indicating a positive correlation (direct relationship),

And a value of zero indicating no correlation between the variables.

The answer is (b) between -1 and 1, inclusive

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The common ratio of the geometric sequence -10, 20, -40 is -2.A geometric sequence is a sequence of numbers where each term is found by multiplying the previous term by a fixed number called the common ratio.

To find the common ratio of the sequence -10, 20, -40, we can divide each term by the previous term.

The second term divided by the first term gives:

20 / (-10) = -2

The third term divided by the second term gives:

(-40) / 20 = -2

We can see that the quotient is the same in both cases, which means that the common ratio of the sequence is -2.

This tells us that to find the next term in the sequence, we multiply the previous term by -2. For example, to find the fourth term, we would multiply -40 by -2 to get 80, which would be the next term in the sequence.

In summary, the common ratio of the geometric sequence -10, 20, -40 is -2.

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It has to be smaller than $7800

I am not sure if this answer is right.

Answer:

7800-936=6864

Step-by-step explanation:

x/12 7800/100

100x=93600

936

The solution is, Loan origination fee = $696

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

Given:

Home value = $58,000

Loan-to-value loan = 80%

Loan origination fee = 1.5 points = 1.5%

Find:

Loan origination fee = ?

Computation:

Total loan amount = Home value × Loan-to-value loan

Total loan amount = $58,000 × 80%

Total loan amount = $46,400

Loan origination fee = Total loan amount × 1.5%

Loan origination fee = $46,400 × 1.5%

Loan origination fee = $696

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Answer:

2 lb

Step-by-step explanation:

Let x = number of pounds

Let c = cost

first orchard:

it costs $30 to rent a basket

pound of apples collected costs $5

c = 5x + 30

second orchard:

baskets are free

apples cost $20 per pound

c = 20x

We want the costs to be equal.

20x = 5x + 30

15x = 30

x = 2

Answer: 2 lb

Answer:

Based on the given information, the value of the stock is 1.75 less than the original value since the plotted value is located 1.75 units to the left of the 0 mark. Therefore, the correct statement is: "The stock is 1.75 less than the original value, and the absolute value is 1.75."

The conversion of the unit centimeters to feet is written as 147 centimeters = 4.82283 feet.

Relation between centimeter and feet is equal to :

One centimeter is equal to 0.0328084 feet.

Now substitute the required converted value centimeter to feet we have,

⇒ 147 centimeters = ( 147 ) × ( 0.0328084 ) feet

⇒ 147 centimeters = ( 4.8228348 ) feet

⇒  147 centimeters = ( 4.82283 ) feet ( Round upto four decimals )

Therefore, the converted units centimeter to feet as per the measurements is equal to  ( 4.82283 ) feet ( Round upto four decimals ) .

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The surface area for the given radius and height are For r = 5 and h = 2: TSA = 2π(5)(5+2) = 2π(5)(7) = 70π sq.cm. For r = 9 and h = 11: TSA = 2π(9)(20) = 360π sq. cm.

The entire area a cylinder occupies in three dimensions is known as the cylinder's area. The combined areas of the two circular bases and the curving surface make up the cylinder's surface area. In right cylinders, the axis line creates a right angle to the base, and the two circular bases are perfectly over one another. It is referred to as an oblique cylinder if one of the circular bases is misaligned and the axis does not make a right angle with the base.

The curving surface that sits in the center of the two circular bases opens to reveal a rectangular shape. A lateral surface is another name for this curved surface.

The total surface area of the cylinder is given by the formula:

TSA = 2πr(r + h)

For r = 5 and h = 2:

TSA = 2π(5)(5+2) = 2π(5)(7) = 70π sq.cm

For r = 9 and h = 11:

TSA = 2π(9)(20) = 360π sq. cm

For r = 9 and h = 8:

TSA = 2π(9)(17) = 306π sq. cm

For r = 4 and h = 7:

TSA = 2π(4)(11) = 88π sq. cm

For r = 6 and h = 5:

TSA = 2π(6)(11) = 132π sq. cm.

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Using integration by substitution, the value of ∫31xf(x^2-1)dx is 6.

To solve this problem, we can use integral by substitution.

Let's set u = x^2 - 1, then du/dx = 2x, or dx = du / (2x).

Using this substitution, we can rewrite the integral as:

∫(3^2-1)^(8^2-1) f(u) * (du / 2)

Next, we can use the fact that f is continuous and the integral of f from 8 to 0 is 6. We can split the integral into two parts:

∫(3^2-1)^(8^2-1) f(u) * (du / 2) = ∫0^(8^2-1) f(u) * (du / 2) - ∫0^(3^2-1) f(u) * (du / 2)

The first integral on the right-hand side is the integral we're given:

∫0^(8^2-1) f(u) * (du / 2) = 6

The second integral can be rewritten using our substitution:

∫0^(3^2-1) f(u) * (du / 2) = ∫(3^2-1)^(0) f(u) * (du / 2)

Notice that we've switched the limits of integration, which means we need to negate the integral:

∫(3^2-1)^(0) f(u) * (du / 2) = -∫0^(3^2-1) f(u) * (du / 2)

Substituting back into our original integral and using these results, we get:

∫(3^2-1)^(8^2-1) f(u) * (du / 2) = 6 - (-∫0^(3^2-1) f(u) * (du / 2)) = 6 + ∫0^(3^2-1) f(u) * (du / 2)

Finally, we can substitute back in for x and simplify to get our answer:

∫31xf(x^2-1)dx = (1/2) * ∫(3^2-1)^(8^2-1) f(u) * du = (1/2) * (6 + ∫0^(3^2-1) f(u) * du) = (1/2) * (6 + ∫0^8 f(u) * du) = (1/2) * (6 + 6) = 6

∫31xf(x^2-1)dx  = 6.

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Anil borrowed the sum of money $12,300 on rate of 10% per annum, for a period of 5 years.

We can use the simple interest formula to solve this problem:

Simple Interest = (Principal x Rate x Time) / 100

Where,

Principal = 12,300

Rate = 10% per annum

Simple Interest = 18,450 - 12,300 = 6,150

Substituting the given values in the formula, we get:

6,150 = (12,300 x 10 x Time) / 100

Simplifying the equation, we get:

Time = (6,150 x 100) / (12,300 x 10)

Time = 5 years

Therefore, Anil borrowed the money for a period of 5 years. Simple interest is a type of interest calculation where the interest is calculated only on the principal amount borrowed or invested. It is calculated as a percentage of the principal amount, multiplied by the time period of the loan or investment. Simple interest does not take into account any interest earned on interest, unlike compound interest. It is a straightforward method used to determine the total amount to be repaid on a loan or the interest earned on an investment. Simple interest is commonly used in personal loans, small business loans, and short-term investments.

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Yes, 0.5 - 3(-2x - 1 over 3 + 4 + 8x) and -1.5(12x + 7) are equivalent expressions.


To prove this, we can use the distributive property:

0.5 - 3(-2x - 1 over 3 + 4 + 8x)

= 0.5 - 3(-2x/3 - 1/3 + 4/3 + 8x/3)

= 0.5 - (-6x - 1 + 4 + 24x)/3

= (0.5*3 + 6x + 1 - 4 - 24x)/3

= (-1.5*12x - 1.5*7)/3

= -1.5(12x + 7)
No, 0.5 - 3(-2x -1 over 3 +4 + 8x) and -1.5(12x +7) are not equivalent expressions.

To determine if two expressions are equivalent, we can simplify both expressions and compare them.

For the first expression, 0.5 - 3(-2x -1 over 3 +4 + 8x), we can distribute the -3 and combine like terms:

0.5 - 3(-2x) - 3(-1) - 3(3) - 3(4) - 3(8x)
= 0.5 + 6x + 3 - 9 - 12 - 24x
= -18x - 7.5

For the second expression, -1.5(12x +7), we can distribute the -1.5:

-1.5(12x) - 1.5(7)
= -18x - 10.5

As we can see, the simplified expressions are not the same, so they are not equivalent expressions.

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The value of 135 kg into lbs can be converted by multiplying kilogram by 2.204622  so the answer is 297.624 pounds.

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.

The SI unit of mass is the kilogramme (kg). It has the same mass as the international kilogramme prototype. The International Bureau of Weights and Measures maintains a platinum-iridium international prototype similar to this one. A kilogramme is about equivalent to 2.20462262184878 pounds.

The legal definition of a pound, or the international avoirdupois pound, is 0.45359237 kilogrammes.

Pounds = kilograms × 2.20462262184878

= 135 x 2.20462262184878

= 297.624 pounds or lbs.

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Answer:

4.6 Years

Step-by-step explanation:

Exponential Function :

f(x) = a(1 - r)^x

f(x) = 24,885(1 - 0.14)^x

half of original amount : 12442.50

In 5 years the car will be worth half of its original price

The two smaller positive integers are:

m = 675

n = 45

And the sum is 675

We know that we have two positive integers, m and n.

And we know that:

3*m³ = 5*n⁵

One way of finding the numbers is evaluating one of the two in positive integers, until we get that the other one is also an integer.

For example,we can solve this for m to get:

m³ = (5/3)*n⁵

m = ∛((5/3)*n⁵)

Now just evaluate in different integer values of n.

if n = 3 we will get:

m = ∛((5/3)*3⁵) =  ∛(405) = 7.39

So this is not a solution.

Now I will use n = 45 = 5*3*3 (so all the exponents inside the cubic root are multiples of 3)

m = ∛((5/3)*(5*3²)⁵)

m = ∛(5⁶*3⁹) = 5²*3³ = 25*27 = 675

Then the sum is:

45 + 675 = 720

These is the smaller sum.

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the value of a is 7/6 and the value of b is 0.

The tangent is an immediate line that simply touches the curve at a given point. The regular is an immediate line this is perpendicular to the tangent. the slope of any line perpendicular to a line with slope m is the terrible reciprocal −1/m.

Given a curve y = ax + b/√x.

with the constant value of a and b.

First, we need to find the derivative of the curve y = ax + b/√x in order to find the gradient of the tangent to the curve at any given point. We can use the quotient rule to differentiate the equation:

dy/dx = a - (b/2)x^(-3/2)

Now we can find the gradient of the tangent to the curve at the point (4, 12) by substituting x = 4 into this equation:

dy/dx = a - (b/2)4^(-3/2) = a - b/16

The gradient of the normal to the curve at this point is the negative reciprocal of the gradient of the tangent, so:

-1/m = -(a - b/16)

We know that the equation of the normal is given by:

3y + 2x = 44

We can use this to substitute in y in terms of x:

y = (44 - 2x)/3

Now we can substitute this into the expression for -1/m:

-1/m = -(a - b/16) = -(dy/dx) = -(a - b/2x^(3/2)) = -(a - b/2(4)^(3/2))

-1/m = -(a - b/8)

Simplifying this equation, we get:

1/m = a - b/8

Substituting the value of m = -3 into this equation (because the gradient of the normal is -3), we get:

-1/3 = a - b/8

Multiplying through by 8, we get:

-8/3 = 8a - b

We also know that the curve passes through the point (4, 12), so we can substitute this into the equation for the curve:

12 = 4a + b/2

Multiplying through by 2, we get:

24 = 8a + b

Now we have two equations in two variables:

-8/3 = 8a - b

24 = 8a + b

Adding the two equations together, we get:

56/3 = 16a

Dividing through by 16, we get:

a = 7/6

Substituting this into one of the equations, we get:

24 = 8(7/6) + b

b = 0

Therefore, the value of a is 7/6 and the value of b is 0.

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The least common denominator is [tex](x^2-3x-4)/(x-4)(x+1) + (x^2-6x+8)/(x-4)(x-2) = 2/(x-4)(x+1)(x-2)[/tex]

Simply put, a rational expression is the product of two polynomials. Or to put it another way, it is a fraction using polynomials as the numerator and denominator.

Reasonable expressions resemble fractions with variable denominators (and often numerators too).

For rational expressions, any value can be entered with the exception of those that set the denominator to 0 (because division by 0 is an undefinable operation).

In other words, all real numbers other than those that make a rational expression's denominator zero are included in the domain of a rational expression.

[tex]x^2-3x-4 = (x-4)(x+1)\\x^2-6x+8 = (x-4)(x-2)[/tex]

The least common denominator is: [tex](x-4)(x+1)(x-2)[/tex]

To add these two rational expressions, we need to rewrite each of them with the LCD as the denominator:

[tex](x^2-3x-4)/(x-4)(x+1) = [(x-4)(x+1)]/(x-4)(x+1)(x-2) = 1/(x-2)\\(x^2-6x+8)/(x-4)(x-2) = [(x-4)(x-2)]/(x-4)(x+1)(x-2) = 1/(x+1)[/tex]

So the sum of the numerators is 1 + 1 = 2.

Therefore,[tex](x^2-3x-4)/(x-4)(x+1) + (x^2-6x+8)/(x-4)(x-2) = 2/(x-4)(x+1)(x-2)[/tex]

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The value which is converted from Fahrenheit to Celsius is equal to 40 Fahrenheit to 4.44444Celsius.

Fahrenheit and Celsius are the units which represents the measurement of the temperature in Standard form .

Formula that relates Fahrenheit and Celsius is represented by the standard formula as mentioned below

(°F − 32) × 5/9 = °C

We have to Substitute the value 40 Fahrenheit in the Standard formula of the temperature to get into Celsius ,

= ( 40°F − 32) × 5/9

= 8 × 5/9

= 40 / 9

= 4.44444 Celsius

= 4.44444 Celsius

Therefore, the conversion value of 4 Fahrenheit into the Celsius is written as 4.44444 Celsius .

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The above question is incomplete, the complete question is:

What is the conversion of 40 Fahrenheit in Celsius ?

The line of the best fit of the scatter plot is added as an attachment

The missing graph is added as an attachment

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

The graph

A good line of best fit would have equal number of points on either sides

To plot the graph, we draw a line that divides the points on the graph evenly

This line when drawn on the scattered points divided the points approximately evenly

The line is not a proportional relationship because it does not go through the origin

Hence, the line of the best fit is attached

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The variable V represents Victoria's age and the variable D represents her dad's age.

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.

The equation that relates Victoria's age (V) to her dad's age (D) when Victoria is 18 years old is:

D = V + 18

The variable V represents Victoria's age and the variable D represents her dad's age.

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In observational studies, the variable of interest The correct answer is (a) is not controlled.

The variables are measured as they occur naturally, without any manipulation or intervention by the researcher. Therefore, the variable of interest is not controlled in observational studies.

Observational studies are used in situations where it is not feasible or ethical to conduct controlled experiments, such as in studies of the effects of environmental exposures or lifestyle factors on health outcomes. In these studies, the researcher cannot control the exposure or intervention and must rely on observational data to draw conclusions about the relationship between the exposure and the outcome.

The other options are not correct because:

b. If the variable of interest is controlled, then the study is a controlled experiment, not an observational study.

c. The variable of interest can be numerical or categorical in observational studies.

d. The variable of interest does not have to be numerical in observational studies, as it can also be a categorical variable

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Answer:

110

Step-by-step explanation:

Answer:

$18.27 an hour

Step-by-step explanation:

To figure out how much $38,000 a year is as an hourly wage, divide $38,000 by 40 hours and 52 weeks. So if you were to work full-time, 40 hours a week, making $38,000 a year, you would earn $18.27 an hour.

-4m < 28. Divide both sides of the inequality by -4. Since we are dividing by a negative number, we need to reverse the inequality sign. m > -7. The solution to the inequality -4m < 28 is "m > -7".

To solve the inequality -4m < 28, we need to isolate the variable "m" on one side of the inequality sign. We can do this by dividing both sides of the inequality by -4. However, since we are dividing by a negative number, we need to reverse the inequality sign. After simplifying, we get the solution m > -7, which means that any value of "m" that is greater than -7 would satisfy the inequality. In other words, all values of "m" that are greater than -7 would make the inequality -4m < 28 true. Understanding how to solve inequalities is important in various mathematical fields such as algebra, calculus, and optimization.

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