1. Find the derivative with respect to x of x +1/x from first principle.
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Jacob's practice times are less reliable than Carl's practice times because Jacob has a higher IQR than Carl does, which is the proper comparison between Jacob and Carl's IQR.

A measure of dispersion is the Inter-quartile Range of a collection of data values; precisely, the higher the Inter-quartile Range, the less consistent the set of data values is, and the converse is true.

The task's requirements indicate that Carl and Jacob's interquartile ranges should be compared.

As stated, Carl's practice time has an Inter-quartile Range of 1 second, which is smaller than that noted for Jacobs.

Jacob's practice times are thus less reliable than Carl's practice times since Jacob has a higher IQR.

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Answer:

the answer is w > 9

Step-by-step explanation:

First you need to divide -2 on both sides. Then u get w < 9. But because your dividing by a negative you need to flip the sign and you get w > 9

The daily percentage rate (DPR) for the given Annual Percentage Rate (APR) on credit card is 17.8% is equal to 0.048%.

Given the Annual Percentage Rate (APR) on credit card is 17.8%.

Now, we need to find the daily percentage rate (DPR) for the given yearly percentage on credit card.

To find your current annual percentage rate, look at your monthly statements. To determine the daily percentage rate (DPR), divide the annual percentage rate (APR) by 365 (the number of days in a year).

So, given APR = 17.8%

Now, daily percentage rate will be:

⇒ Daily percentage rate = Annual Percentage Rate ÷ 365

⇒ DPR = APR / 365

⇒ DPR = 17.8% ÷ 365

⇒ DPR = 0.048%

Therefore, daily percentage rate (DPR) is equal to 0.048%.

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Answer: \(14\sqrt 2\)

Step-by-step explanation:

Answer:

\(f^{-1}(x)=\dfrac{2x+3}{1-x}\)

Step-by-step explanation:

Find the inverse of the given function, f(x).

\(f(x)=\frac{x-3}{x+2}\)

(1) - Switch x and f(x)

\(f(x)=\frac{x-3}{x+2}\\\\\Longrightarrow x=\frac{f(x)-3}{f(x)+2}\)

(2) - Solve for f(x) using algebraic techniques

\(x=\frac{f(x)-3}{f(x)+2}\\ \\\\\Longrightarrow (f(x)+2)x=f(x)-3\\ \\\\\Longrightarrow xf(x)+2x=f(x)-3\\ \\\\\Longrightarrow 2x=f(x)-3-xf(x)\\ \\ \\\Longrightarrow 2x+3=f(x)-xf(x) \\\\\\\Longrightarrow 2x+3=f(x)(1-x)\\ \\\\\therefore f(x)=\dfrac{2x+3}{1-x}\)

(3) - Replace f(x) with f^-1(x)

\(f(x)=\dfrac{2x+3}{1-x} \\\\\Longrightarrow \boxed{\boxed{f^{-1}(x)=\dfrac{2x+3}{1-x} }}\)

Therefore, the inverse is found.

The nearest whole number, we get x = 12. We can find the value of x by using the law of sines. The law of sines states that the ratio of the sine of an angle of a triangle to the length of the side opposite that angle is the same for all three angles of the triangle.

In this case, the angle opposite x is 24 degrees, and the side opposite x is 24 units. Therefore, we have:

sin(24°)/x = sin(C)/24

Solving for x, we get:

x = 24 x sin(24°) / sin(C)

Plugging in the values of the angles, we get:

x = 24 x sin(24°) / sin(120°) = 12.02

The nearest whole number, we get x = 12.

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Step-by-step explanation:

Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.

To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.

Perimeter = 13.3 mm + 5.5 mm + X mm

The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.

To find X, we can subtract the sum of the known sides from the perimeter:

X mm = Perimeter - (13.3 mm + 5.5 mm)

Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.

Answer:

1) 7/3

2) Undefined

3) 1

4) 7/4

Step-by-step explanation:

Answer:

31.4

Step-by-step explanation:

diameter (d) = 10

circumference = (3.14)d

                        = (3.14)10 = 31.4

circumference = 31.4

Answer:

-9/25,4/16,3/4,4,4.15

Step-by-step explanation:

please give me brainlest

Answer:

\( \boxed{D. \: 40\degree} \)

Step-by-step explanation:

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°

So,

\( = > 2y \degree + (y + 10)\degree + 50\degree = 180\degree \\ \\ = > 2y\degree + y\degree + 10\degree + 50\degree = 180\degree \\ \\ = > 3y\degree + 60\degree = 180\degree \\ \\ = > 3y\degree = 180\degree - 60\degree \\ \\ = > 3y\degree = 120\degree \\ \\ = > y = \frac{120\degree}{3\degree} \\ \\ = > y = 40\degree \)

Answer:

the area of the rectangle is 35.25 square meters.

Step-by-step explanation:

To find the area of a rectangle, we multiply the length by the width.

First, we need to convert the mixed numbers to improper fractions to make the multiplication easier:

4 and 2/4 = 4 + 2/4 = 16/4 + 2/4 = 18/4

7 and 5/6 = 7 + 5/6 = 42/6 + 5/6 = 47/6

Now we can multiply the length and width:

Area = (18/4) * (47/6)

Area = (9/2) * (47/6) (canceling the common factor of 2 between 18/4 and 6 in 47/6)

Area = (9 * 47) / (2 * 6)

Area = 423/12

Area = 35.25

Therefore, the area of the rectangle is 35.25 square meters.

Answer:

3(2+3³)

=3(2+27)

=3×29

=87

Answer:

\(\huge\boxed{ \text{(A)}\ \ \frac{1}{10}, -\frac{1}{10}}\)

Step-by-step explanation:

We can simplify this expression down so that we have x isolated on one side of the equation.

So we can take the square root of both sides.

\(x = \sqrt{\frac{1}{100}}\)

The square root of \(\frac{1}{100}\) will be the number that, when multiplied by itself, will get us \(\frac{1}{100}\).

In order to find the square root of a fraction, the numerator squared must correct and the denominator squared must be correct.

\(1^2 = 1\)

\(10^2 = 100\)

This means that we have the values 1 and 10. Therefore one of our fractions is \(\frac{1}{10}\).

HOWEVER: A negative number squared is a positive. So this also works:

\(-1^2 = 1\\\\-10^2=10\)

So we have \(-\frac{1}{10}\) along with  \(\frac{1}{10}\).

Hope this helped!

Answer:

A function is a mathematical device that converts one value to another in a known way. ... The set of allowable inputs to a given function is called the domain of the function. The set of possible outputs is called the range of the function.

Step-by-step explanation:

Hopefully this was mindfull

The input set of a function is called the "Domain" of the function.

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

For any function, the values which we are putting form a set of intervals called domain.

For example f(x) = x²

Now if we put x = 1 then it is called as domain variable while the value of function at x = 1 its that f(1) = 1 called range variable.

Hence "The input set of a function is called the "Domain" of the function".

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Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Answer:

x = 0 and 2pi/3

Explanation

Given the expression

cos(2x)=cos(x)

In trigonometry expression;

cos2x = 2xos^2x - 1

Substituting into the equation given;

cos(2x)=cos(x)

2xos^2x - 1 = cos x

Rearrange

2xos^2x - 1 - cosx - 1 = 0

Let P = cosx

2P^2 - P - 1 = 0

Factorize

2P^2 - 2P+P-1 = 0

2P(P-1)+1(P-1) = 0

2P+1 = 0 and P-1 = 0

P = -1/2 and 1

Recall that P = cosx

-1/2 = cosx

x = cos^-1(-1/2)

x = 120 degrees = 2pi/3

If P = 1

cosx = 1

x = cos^-1(1)

x = 0

Hence the value of x that satisfies the equation is 0 ad 2pi/3

Answer:

To Solve a System of Equations by Elimination

Write both equations in standard form. ...

Make the coefficients of one variable opposites. ...

Add the equations resulting from Step 2 to eliminate one variable.

Solve for the remaining variable.

Substitute the solution from Step 4 into one of the original equations.

here! ( happy hoildays!)

Answer:

A is correct answer I guess but if you hhj have been able to worked something out put me on

Answer: 180 gallons needed

Step-by-step explanation:

Zykeith,

Assume x gallons of 50% antifreeze is needed

Final mixture is x + 60 gallons

Amount of antifreeze in mixture is 0.4*(x+60)

Amount of antifreeze added is .5x + .1*60 = .5x + 6

so .5x + 6 = .4(x + 60)

.5x -.4x = 24 -6

.1x = 18

x = 180

Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:

\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)

Simplifying the equation:

\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)

\(\qquad\quad\implies 0.1x = 21\)

\(\qquad\qquad\implies \bold{x = 210}\)

\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Answer:

15m/s

Step-by-step explanation:

Given data

DIstance= 55.5 miles

time= 3.7 hours

Required

the speed

We know that

Speed= distance/time

Substitute

Speed= 55.5/3.7

Speed= 15 m/s

Hence the speed is 15m/s

Answer:

it will be 322 because 8 + 4 is 12 and 1+2 is 3

Answer:

Step-by-step explanation:

Let's just say this circle has value x.

x increases by 5%, or 0.05 of x.

x + 0.05x = 1.05x

1.05x now increases by 5% again:

1.05x + 0.05(1.05x) = 1.1025x

The total increase is equal to (1.1025-1)*100 = 10.25%

Hope this helps!

As per the question, the solution to the equation f(x) = a(x-h)2+k is y = 3(x+5)2 -1.

Equations are mathematical expressions with two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be similar to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a simple fundamental equation.

As per the given values mentioned in the question,

a=3, b=30, c=74.

To fix this issue, employ the Vertex Formula,

(-b/(2a)) , f(-b/(2a))

-b/(2a)

= -(30)/(2 × 3)

h = -5.

f(-b/(2a))

= 3(-5)² + 30(-5) + 74

k = 75 +-150 +74

k = -1.

Vertex, V = (h,k)

V = (-5,-1).

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Answer:

True

Step-by-step explanation:

It makes census count for the newly born easy because you can't possibly go to every house in the US to count the new Borns therefore collection of birth certificates is most preferred

Answer:

x = 1

Step-by-step explanation:

We have the equation 2(5x + 8) = 6x + 20 and are asked to find the solution, to do so, we need to isolate x.

First off, we need to get rid of the parenthesis, so distribute the 2 to the 5x and 8 :

2(5x + 8)

(5x(2) + 8(2))

10x + 16

10x + 16 = 6x + 20

Now we can't have x on both sides, so subtract 6x to both sides :

4x + 16 = 20

Now we need to isolate the number with x, subtract 16 from both sides :

4x = 4

Now to extract the coefficient from the variable, divide both sides by 4 :

x = 1

Answer:

x = 1

Step-by-step explanation:

2(5x+8)=6x+20

10 + 16 = 6 + 20

10 + 16 − 16 = 6 + 20 − 16

10 = 6 + 4

4x = 4

x = 1

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