Find the inverse of square root f(n) = n – 3.
Of(n) = (n + 3)
Of-1 (n) = yn +1
Of-1 (n) = -n° +1
Of-1 (n) = -n3 – 3

Answer:

Depending on what form you want it in:

Exact Form:

41/24

Decimal Form:

1.708  3

.. (3 is infinite)

Mixed Number Form:

1  17/24 (The 1 in front is supposed to be a whole)

Step-by-step explanation:

5/6 + 7/8

First, you must make both denominators equal a same number.

6 x _ = 8 x _

The same number but also the least is least common denominator is 24.

4 (5/6) + (7/8) 3

20/24 + 21/24

= 41/24

Answer:

The interest is $1080 and the amount is $4080.

Step-by-step explanation:

Find an interest by using the formula I=P*i*t, where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.

In this examplee P = $3000, i = 6% and t = 6 years, so

I=P*i*t

I=3000*0.06*6

I=1080

The interest is 1080, therefore the total amount is 4080.

Hope this helps!

Soln: Formula for a²+b² can be given by two types.

(i). a²+b² = (a+b)² - 2ab

= a²+2ab+b²-2ab

= a²+b²

=> LHS = RHS

Therefore, hence proved!

(ii). a²+b² = (a-b)² + 2ab

= a²-2ab+b²+2ab

=> LHS = RHS

Therefore, hence proved!

Hence, a²+b² = (a+b)² - 2ab

'OR'

a²+b² = (a-b)² + 2ab

Thank you. ☺️

hope it helps

Answer:

(x,y)⟶(x+5,y+6)

Step-by-step explanation:

First lets identify what we are doing. We know that 6 units up is a verticle translation. We know that going up numbers means that the number are being added, so we know that it will be a plus six. Next, we know that we are going five units to the right. We know that going right in terms of numbers means that that number is getting bigger, and is having numbers added. As such, we know that the horizontal translation of five units right will be positive, so it would be plus five. Remember when going left, you are subtracting a number, and when going right, you are adding. Also, we must make sure that we understand that the verticle translation changes the y coordinate, while the horizontal translation changes the x coordinate.

So we can put together what we learned.

The answer is:

(x,y)⟶(x+5,y+6)

Answer:

I don't no the answer sorry

Answer:

Length a = 59.62

Width b = 67.09

Cost = $10,734.4

Step-by-step explanation:

Solution:

Let a be the length and b be the width.

Area of the rectangle = a x b

a x b = 4000

Cost of the construction:

Cost = 100a + 80(a + 2b)

Cost = 100a + 80a + 160b

Cost = 180a + 160b     Equation of the Cost of the construction.

Now, we need a and b to calculate the minimum cost required to build a lot.

From the area = a x b

we have,

a x b = 4000

b = 4000/a

Putting this equation into the cost of the construction.

We get:

Cost = 180a + 160 x (4000/a)

Cost = 180a + 640000/a

Differentiating with respect to a, we get

\(C^{'}\) = 180 - 640000/\(a^{2}\)

Putting \(C^{'}\) = 0

180 - 640000/\(a^{2}\) = 0

Taking LCM

180\(a^{2}\) - 640000 = 0

Solving for a

180\(a^{2}\) = 640000

\(a^{2}\) = 640000/180

\(a^{2}\) = 3555.55

Taking square root

a = 59.62

As we know,

b = 4000/a

putting the minimum value of a  = 59.62

b = 4000/59.62

b = 67.09

So, now we have both the dimensions a and b

Putting the values of a and b we will get the cost of the construction.

Cost = 180a + 160b

Cost = 180(59.62) + 160(67.09)

Cost = $10,734.4

Hence, $10,734.4 will be the minimum cost of the construction for Bill Ding.    

The equation of the line in slope-intercept form is y = (3/4)x.

To write the equation of a line in slope-intercept form, we need to use the slope-intercept form equation: y = mx + b,

where m is the slope and b is the y-intercept.

Given that the line passes through the point (-8, 5) and has a slope of 3/4, we can substitute the values into the equation to find the y-intercept (b).

First, let's find the value of b using the point-slope form equation: y - y1 = m(x - x1), where (x1, y1) is a point on the line.

Using (-8, 5) as the point and 3/4 as the slope, we have:

5 - 5 = (3/4)(-8 - x)

0 = (3/4)(-8 - x)

0 = (-3/4)(8 + x)

0 = -6 - (3/4)x

Next, we can solve for x:

(3/4)x = -6

x = -6 \(\times\) (4/3)

x = -8

Now that we have the value of x, we can substitute it back into the equation to find the value of b:

0 = -6 - (3/4)(-8)

0 = -6 + 6

0 = 0

So, the value of b is 0.

Finally, we can write the equation of the line in slope-intercept form:

y = (3/4)x + 0

y = (3/4)x.

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1/9

Probability is the likelihood or chance that an event will occur. Mathematically;

Probability = expected outcome/Total outcome

The total number on the spinner is given as:

S = {1, 2, 3}

Total outcome = 3

If the spinner land on a number less than 2, hence the expected outcome is 1

Pr(spinner land on a number less than 2) = 1/3

If the spinner lands on a 2, the probability that it lands on a 2 will be expressed as:

Pr(spinner lands on a two) = 1/3

Pr( landing on a number less than 2 and then landing on a 2​) = 1/3 * 1/3 = 1/9

Hence the probability of landing on a number less than 2 and then landing on a 2​ is 1/9

On solving the provided question we can say that the Volume of the sphere with radius 11.2 in is 5885 .

A sphere is a geometrical entity that resembles a two-dimensional circle in three dimensions. In three-dimensional space, a sphere is a collection of points that are all located at the same r-distance from a single point. The radius of the sphere is equal to r, and the provided point is its center.

characteristics of a sphere

The symmetry of a sphere is flawless.

A polyhedron is not a sphere.

Each point on the surface is equally spaced from the center.

There is no surface of centers on a sphere.

The mean curvature of a sphere is constant.

The breadth and circumference of a sphere are fixed.

Radius of sphere = 11.2 in

Volume = 4 pi r ^ 2 = 4 X 3.14 X 11.2 X 11.2 = 5885 .

Volume of the sphere with radius 11.2 in is 5885 .

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On solving the provided question we can say that the Volume of the sphere with radius 11.2 in is 5885 .

A sphere is a geometrical entity that resembles a two-dimensional circle in three dimensions. In three-dimensional space, a sphere is a collection of points that are all located at the same r-distance from a single point. The radius of the sphere is equal to r, and the provided point is its center.

characteristics of a sphere

The symmetry of a sphere is flawless.

A polyhedron is not a sphere.

Each point on the surface is equally spaced from the center.

There is no surface of centers on a sphere.

The mean curvature of a sphere is constant.

The breadth and circumference of a sphere are fixed.

Radius of sphere = 11.2 in

Volume = 4 pi r ^ 2 = 4 X 3.14 X 11.2 X 11.2 = 5885 .

Volume of the sphere with radius 11.2 in is 5885 .

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Answer:

$7,256.07

Step-by-step explanation:

A = p(1+r/n)^nt

A = 4000(1+.06/4)^(10*4)

This is the equation of the line in slope-intercept form. We can see that the slope is 4/5, and the y-intercept is 7/5 (or 1.4).

In mathematics, an equation is a statement that asserts the equality of two expressions. An equation typically consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). Each part of the equation can contain variables, constants, and mathematical operations (such as addition, subtraction, multiplication, and division). The variables in an equation represent unknown quantities that we are trying to solve for, while the constants are fixed values.

Here,

However, I can give a general equation for a straight line in slope-intercept form, which is often used to represent a linear relationship between two variables (such as x and y). The equation takes the form:

y = mx + b

where m is the slope of the line (the rate at which y changes for a given change in x), and b is the y-intercept (the point where the line crosses the y-axis). To write the equation of a line, we need to know its slope and y-intercept, which can be determined from its graph or from other information.

For example, if we know that a line passes through the point (2, 3) and has a slope of 4/5, we can write its equation as:

y - 3 = (4/5)(x - 2)

This equation is in point-slope form, which expresses the relationship between the coordinates of a point on the line (in this case, (2, 3)) and the slope of the line. To convert it to slope-intercept form, we can rearrange it to solve for y:

y - 3 = (4/5)(x - 2)

y - 3 = (4/5)x - (8/5)

y = (4/5)x - (8/5) + 3

y = (4/5)x + 7/5

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Answer:

2.5

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

To divide fractions, you flip the second fractions and change it to multiplication.

(3/2) / (3/5) =

(3/2) x (5/3)

To multiply them, you just multiply their numerators together to get the new numerator and multiply the denominators together to get the new denominator.

(3/2) x (5/3) =

(3 x 5) / (2 x 3) =

15/6

This can be reduced to:

5/2

Answer:

804

Step-by-step explanation:

Just use a calculator.

Answer:

x° = 99°

Step-by-step explanation:

Sum of angles on a straight line is 180°.

Sum of angles in a triangle is 180°. Let u be the value of the unknown angle in the triangle.

u° = 180° - 57° - 42°

u° = 81°

Sum of angles on a straight line is 180°.

x° = 180° - 81°

x° = 99°

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the answer is d because

20 is "=" 5 times "×" as 4

so the formula derived is

20= 5x4

is represents =

times represents ×

hope you get it

Answer:

\(216\)

Step-by-step explanation:

Remember that \(a^{b}=a*a*a*a*... b~~times\).

So, \(6^3=6*6*6=(6*6)*6=36*6=\boxed{216}\)

if cot(θ)<0 and cos(θ)<0, then we can conclude that θ lies in the second quadrant.

What is trigonometry functions ?

Trigonometry functions are a set of mathematical functions that relate the angles of a triangle to the lengths of its sides. The three main trigonometric functions are sine, cosine, and tangent, which are commonly abbreviated as sin, cos, and tan. These functions can be defined as ratios of the sides of a right triangle.

In a right triangle, the side opposite an acute angle is called the "opposite" side, the side adjacent to the angle is called the "adjacent" side, and the hypotenuse is the side opposite the right angle. With this terminology, we can define the following trigonometric functions:

Sine (sin): The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. In other words, sin(θ) = opposite/hypotenuse.

Cosine (cos): The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse. In other words, cos(θ) = adjacent/hypotenuse.

Tangent (tan): The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side. In other words, tan(θ) = opposite/adjacent.

There are also three reciprocal trigonometric functions: cosecant (csc), secant (sec), and cotangent (cot). These functions are the reciprocals of sine, cosine, and tangent, respectively.

Trigonometric functions have many practical applications in fields such as engineering, physics, and astronomy, where they are used to solve problems involving angles and distances. They also have many applications in pure mathematics, such as in the study of periodic functions and Fourier analysis.

According to given information :

To understand why θ must be in the second quadrant, we need to recall the signs of the trigonometric functions in each quadrant.

In the first quadrant, all trigonometric functions are positive.

In the second quadrant, sine is positive and cosine is negative.

In the third quadrant, both sine and cosine are negative.

In the fourth quadrant, sine is negative and cosine is positive.

Since we know that cos(θ) is negative, we can conclude that θ lies in either the second or third quadrant. However, since cot(θ) = cos(θ)/sin(θ) and cot(θ) is negative, we know that cos(θ) and sin(θ) must have opposite signs. In the third quadrant, both cos(θ) and sin(θ) are negative, so their quotient cot(θ) would be positive, which is not the case.

Therefore, we can conclude that θ lies in the second quadrant.

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Answer:

If  cot(θ)<0 and cos(θ)<0, then we can conclude that θ lies in the second quadrant.

What are trigonometry functions ?

Trigonometry functions are a set of mathematical functions that relate the angles of a triangle to the lengths of its sides. The three main trigonometric functions are sine, cosine, and tangent, which are commonly abbreviated as sin, cos, and tan. These functions can be defined as ratios of the sides of a right triangle.

In a right triangle, the side opposite an acute angle is called the "opposite" side, the side adjacent to the angle is called the "adjacent" side, and the hypotenuse is the side opposite the right angle. With this terminology, we can define the following trigonometric functions:

Sine (sin): The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. In other words, sin(θ) = opposite/hypotenuse.

Cosine (cos): The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse. In other words, cos(θ) = adjacent/hypotenuse.

Tangent (tan): The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side. In other words, tan(θ) = opposite/adjacent.

There are also three reciprocal trigonometric functions: cosecant (csc), secant (sec), and cotangent (cot). These functions are the reciprocals of sine, cosine, and tangent, respectively.

Trigonometric functions have many practical applications in fields such as engineering, physics, and astronomy, where they are used to solve problems involving angles and distances. They also have many applications in pure mathematics, such as in the study of periodic functions and Fourier analysis.

According to given information :

To understand why θ must be in the second quadrant, we need to recall the signs of the trigonometric functions in each quadrant.

In the first quadrant, all trigonometric functions are positive.

In the second quadrant, sine is positive and cosine is negative.

In the third quadrant, both sine and cosine are negative.

In the fourth quadrant, sine is negative and cosine is positive.

Since we know that cos(θ) is negative, we can conclude that θ lies in either the second or third quadrant. However, since cot(θ) = cos(θ)/sin(θ) and cot(θ) is negative, we know that cos(θ) and sin(θ) must have opposite signs. In the third quadrant, both cos(θ) and sin(θ) are negative, so their quotient cot(θ) would be positive, which is not the case.

Therefore, we can conclude that θ lies in the second quadrant.

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Answer:

no solution I think please make me brainliest please

Answer:

22/7

Step-by-step explanation:

22/7 is not very close to pi, but it is sometimes used as an estimation for pi

Answer:

22/7 is estimation

The set of ordered pairs that could be generated by an exponential function is; C: (-1,1/2), (0, 1), (1, 2), (2, 4)

An exponential function is represented by the general form;

y = abˣ

The above equation means that the value (0, 0) cannot be an ordered pair in an exponential function.

The highlight above means that, the options A, B and D cannot generate an exponential equation because they contain the point (0,0).

Thus, the set of ordered pairs that could be generated by an exponential function is option C: (-1,1/2), (0, 1), (1, 2), (2, 4)

The missing options are;

A. (-1,-1/2), (0, 0),(1,1/2), (2, 1)

B. (–1, –1), (0, 0), (1, 1), (2, 8)

C. (-1,1/2), (0, 1), (1, 2), (2, 4)

D. (–1, 1), (0, 0), (1, 1), (2, 4)

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Answer: 0.00923521

Step-by-step explanation:

Given : The probability U.S households play video or computer games=69%=0.69

here, the probability of each U.S household play video or computer games is fixed as 0.69

Then, the probability of each U.S household not play video or computer games= 1-0.69=0.31

For independent events the probability of their intersection is product of probability of each event.

Now, the probability that none play video/computer games will be :-

\((0.31)^4=0.00923521\)

Answer:

kjhgfd bjnk

Step-by-step explanation:

hjgfb bnjhgfx

Answer:

Following are the answer to this question:

Step-by-step explanation:

In the given equation some information is missing, that is Loans "A and B".

Formula:

\(\bold{Total \ Payback = \ Montly \ instalment \times \ Number \ of \ Instalments} \\\\\)

calculating total amount of Loan A:

\(= $754.02 \times 72\\\\= 54289.44\)

calculating total amount of Loan B:

\(= $918.31 \times 60\\\\= 55098.6\)

Calculate loan A:

\(\bold{ \ Int = \ Total\ Payment - \ Loan}\\\\\)

      \(= $ 54289.44 - $ 47500\\\\= $ 6789.44\)

Calculate loan B:

\(\bold{ \ Int = \ Total\ Payment - \ Loan}\\\\\)

      \(= $ 55098.60 - $ 47500\\\\= $ 7598.60\)

The Additional  value of the Int in loan B:

\(\bold{= \ Int \ in \ loan \ B - \ Int \ in \ loan \ A}\)

\(= 7598.6 - 6789.44\\\\= 809.16\)

Answer:1,208 square centimeters

Step-by-step explanation:

Answer:

I belive the correct answers are 8 and 12

Step-by-step explanation:

Answer:

$480

Step-by-step explanation:

2 tons is 4000 pounds so,

4,000 * 0.12 = 480

:)

Answer:

$44

Step-by-step explanation:

Hello!

It said that 7 cameras cost $308, right?

If each camera costs the same, it means that 7 cameras with the same value equal $308.
If we use this in an equation, and if x is a variable we want to solve, it would be:

7x = 308.

If 7x = 308, it would be

308/7 =

44.

So, $44 is the answer.