what is the inverse of the function
f(x)=x/3-2

Answer:

3

Step-by-step explanation:

Answer:

g=4.33

Step-by-step explanation:

8.95 - 5.4g = 3.81 - 9.58 - 8.69

-5.4g = 3.81 -9.58 -8.69 - 8.95

-5.4g = 5.77 - 8.69 - 8.95

-5.4g = -14.46 - 8.95

-5.4g = 23.41

-5.4/-5.4 =23.41/-5.4

g=4.33

Answer:

16 2/3 %

Step-by-step explanation:

First determine the number of children not going to the fair.

150-125 = 25

Then divide this by the total number of children

25/150

.166666666

Change this to a percent

16 2/3 %

Answer:

One ticket is $153

Step-by-step explanation:

x = The price of a ticket

855=5x+18(5)

855=5x+90

765=5x

153=x

Answer:

x = $159

Step-by-step explanation:

5 tickets are bought, the price of them is unknown?

1 ticket per $18 travel insurance

5 tickets = 18 × 5

insurance per 5 tickets = $90

the equation:

let X represent the number of tickets.

5x + 90 = 885. the total cost of insurance and tickets = 885

we solve the equation.

5x=885 - 90

5x= 795. divide by 5 into both sides.

x= $159. which is the price of one ticket.

Answer:

yes

Step-by-step explanation:

hope this helps :)

In mathematics, an equation is a statement that indicates that two mathematical expressions are equal. It typically contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division.

To graph the equation y = -x^2 - 4x - 3, we can start by finding the roots and the vertex.

The roots can be found by setting y = 0 and solving for x:

0 = -x^2 - 4x - 3

This can be factored as:

0 = -(x + 3)(x + 1)

So the roots are x = -3 and x = -1.

The x-coordinate of the vertex can be found using the formula:

x = -b/(2a)

where a = -1 and b = -4, so:

x = -(-4)/(2(-1)) = 2

The y-coordinate of the vertex can be found by plugging in x = 2:

y = -2^2 - 4(2) - 3 = -15

So the vertex is at (2, -15).

Now we can plot the five points we need: the two roots (-3, 0) and (-1, 0), and the vertex (2, -15), and two additional points of our choice. Let's choose x = -2 and x = 4:

When x = -2, y = -(-2)^2 - 4(-2) - 3 = 1, so the point is (-2, 1).

When x = 4, y = -4^2 - 4(4) - 3 = -35, so the point is (4, -35).

Plotting these points and drawing a smooth curve through them, we get the graph of the equation:

      |

-15   /

      |  

      |  

-20  /    

    /    

-25/      

   |      /|

   |     / |

-30|    /  |

   |   /   |

-35|__/____|__________

      -3 -1  2  4

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Answer:

Step-by-step explanation:

from 600 people changed to 950 people so increased 950-600=350

     if 600 is 100%

then 350 is ?%

?= 350*100/600 = 58.(3)%

so it increased by 58.(3)% since the year before

Any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.

Within 2 standard deviations of the mean refers to the range that includes data points within two units of standard deviation from the mean. In this case, the mean is 180 and the standard deviation is 35.

To find the range within 2 standard deviations of the mean, we need to calculate the upper and lower bounds.

The upper bound can be found by adding 2 standard deviations (2 * 35 = 70) to the mean: 180 + 70 = 250.

The lower bound can be found by subtracting 2 standard deviations (2 * 35 = 70) from the mean: 180 - 70 = 110.

Therefore, any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.

It's important to note that this answer is specific to the given mean and standard deviation. If the mean and standard deviation were different, the range within 2 standard deviations would also be different.

Always calculate the upper and lower bounds based on the provided mean and standard deviation to determine the range within 2 standard deviations accurately.

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The figure illustrates four different growth patterns: exponential growth (Curve A), logarithmic decay (Curve B), linear growth (Curve C), and sigmoidal growth (Curve D).

Curve A represents an exponential growth pattern. It starts with a relatively slow increase but gradually accelerates over time. This type of growth is commonly observed in natural phenomena like population growth or the spread of infectious diseases.

Curve B depicts a logarithmic decay pattern. It begins with a steep decline but levels off over time. Logarithmic decay is often seen when a process initially experiences rapid changes but eventually approaches a stable state or limiting factor.

Curve C displays a linear growth trend. It shows a constant and consistent increase over time. Linear growth is characterized by a steady rate of change and is commonly observed in situations where there is a constant input or output.

Curve D represents a sigmoidal growth pattern. It starts with a slow initial growth, then experiences rapid expansion, and finally levels off. Sigmoidal growth is prevalent in various fields, such as biology, economics, and technology, where a system initially has limited resources, undergoes rapid development, and eventually reaches a saturation point.

The figure illustrates four different growth patterns: exponential growth (Curve A), logarithmic decay (Curve B), linear growth (Curve C), and sigmoidal growth (Curve D).

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Based on the information given, the total number of Goals Scored in all 10 games combined is 11 goals.

It should be noted that in Mathematics, frequency simply has to do with the number of occurence that an event has based on the data or the information that's illustrated.

Based on the information given, it should be noted that the number of goals as well as the frequency are given. This will be illustrated we:

Total number of goals will be:

= (0 × 3) + (1 × 4) + (2 × 2) + (3 × 1)

= 0 + 4 + 4 + 3

= 11 goals

Therefore, 11 goals are scored.

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Answer:

7

Step-by-step explanation:

common ratio: 3/2=1.5

Sum of first nth term: S = a₁ * (1-rⁿ) / (1-r)

60 = 2 * (1 - 1.5ⁿ) / (1 - 1.5)

1.5ⁿ = 16

n = 6.8

s>60    n=7

check: S₇ = 2 * (1-1.5⁷) / (1-1.5) = 64.34

           S₆ = 2 * (1-1.5⁶) / (1-1.5) = 41.56

Answer:

3.45 x 106

Step-by-step explanation:

Answer:

3.45 * 10⁶

Hope that helped :D

Square root of 4 is not a polynomial. It is a quadratic function. Functions containing other operations like square root is not a polynomial.

A polynomial need not have any square root.  polynomial is a finite sequence form. it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions. Polynomial are sums and differences of polynomial terms. For an expression to be a polynomial term, any variables in the expression must have whole number powers. It should not have any square root, cube root or any negative values. Quadratic function can have square root cube roots and fraction values.

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Answer:

5

Step-by-step explanation:

Plz mark brainliest!!!

Answer:

1: pi, right

2: pi, left

3: coincides with

Step-by-step explanation:

When h = π, the orange graph shifts pi units to the right. When h = −π, the orange graph shifts pi units to the left.

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between multiple things are frequently represented by the points on a graph. Here, for example, we can plot a graph showing the type and quantity of school supplies in use by pupils in a class based on the data provided below.

A bar graph can also be used to display the data. Bar graphs show how many of each supply there are. The more supplies or goods are used, the higher the bar's height. When h = π, the orange graph shifts pi units to the right. When h = −π, the orange graph shifts pi units to the left.

Therefore, when h = π, the orange graph shifts pi units to the right. When h = −π, the orange graph shifts pi units to the left.

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Answer:

4

Step-by-step explanation:

Answer:

your answer is 4

Step-by-step explanation:

you welcome

Answer:

$2.81

Step-by-step explanation:

if one meter of fabric costs $1.15 then,

The fabric cost = one meter fabric cost × fabric measurement

The fabric cost = 8 × $1.15

The fabric cost = 9.20 feet

The value of [1 ft = 0.305m], therefore,

The fabric cost = 9.20 × 0.305 m = $2.81

Hence, The fabric cost is $2.81.

Answer:

I had to screenshot from my computer because it said (you have an inappropriate word or link in your answer)    

we do things called culture monday at our school where we write about a problem and then do a discussion on it in the classroom

this was mine so nooooo plagiarism or anything.

please mark brainliest......

Answer:

World War II started on September 1st, 1939, a decade after America’s stock market crash and downfall of the economy, which was in 1929, when Germany, led by a man born in Austria called Adolf Hitler, invaded Poland. France and England immediately declared war on Germany and Germany’s allies.

Germany had two allies, Japan and Italy, Italy mostly provided food and supplies, while Japan provided manpower, along with Germany. Germany, Japan, and Italy were called the Axis powers, and England, Russia (Then called the Soviet Union), and America (When America joined the war), along with many other countries, such as China and France (Except for the four years which Germany occupied France, 1940--1944), were called the Allied powers.

Germany invaded and occupied Austria, Belgium, France, Norway, Luxembourg, Greece, Czechoslovakia, Greece, Denmark, Holland, Hungary, the Netherlands, and many other countries with the help of Italy and Japan.

The United States wanted to be neutral through World War II like the Irish and Swiss, but the Axis Powers did not let this happen. Instead, Japan bombed Pearl Harbor and utterly destroyed and sunk many ships, so the United States had no choice but to join the war and the Allied forces.

The United States both lost and won many battles, and Germany was losing battles against the Soviet Union and England. Germany lost many battles in the Soviet Union, which was fought in harsh and bitter cold, and also lost the Battle of Britain fought in the skies over England between Britain’s Royal Air Force (RAF) and Germany’s Luftwaffe.

Many people died as a result of the Battle of Britain by bombs and flying shrapnel. In order to try to get their country back to normal, Great Britain started to ration food, drafted men over eighteen to go to the war front, made shelters all over England, in cities, towns, even in the country, in case of an air raid. The Battle of Britain was mostly fought in the skies of London, but enemy planes heading towards London to fight might drop a bomb to wipe away towns, cities, or a part of country off the map.

Germany soon retreated from Great Britain and thought that England would surrender with the rest when Germany conquered and ruled the world, which was Germany’s goal, but England, after some recovery, fought Germany as hard as ever, angered by the people and planes lost because of the Battle of Britain.

In the middle of this, President Franklin Delano Roosevelt died because of a mixture of bad health, too much stress, and his polio. Americans grieved for President Roosevelt, and elected a new president, President Harry Truman.

With forces fighting with both the Soviet Union and England, and later fighting on D-Day, Germany could not last for long, even with its two allies. But the number of allies Germany had soon reduced to one, for Italy joined the Allied powers, betraying the Axis Powers. Germany  desperately tried to fight back the forces of the Allied powers, but soon surrendered days after Adolf Hitler’s death, on May 8th, 1945.

Even when its ally Germany had surrendered and Italy had gone over to the Allies, Japan still fought, even though there was very little chance they would win. This was a bad idea, an idea which would change history. The Allied powers turned their full attention on defeating Japan, which was a bad thing, since Japan could only take over a few islands in the Pacific belonging to the United States and could not defeat any others in the beginning when the Allied powers’ attention was divided. As a result, many, at least hundreds, died, deaths that were not even necessary. The United States dropped two atomic bombs from one of America’s bomber planes on Japan’s two major cities, Hiroshima and Nagasaki days apart, so Japan surrendered, unable to lose any more people then it had already.

The two atomic bombs were built in the midst of fighting and stress of World War II in Manhattan, New York by a group of people who specialized in physics, math, and chemistry. The atomic bomb’s code name was: The Manhattan Project. The Manhattan Project, when done and ready, after dropped from an American bomber plane, killed over a hundred thousand Japanese in the two major cities Hiroshima and Nagasaki, most of them regular Japanese civilians going about their daily life.

World War II was a very important war and time period that changed the world. It changed the human race. The atomic bomb, invented in World War II, soon led other countries, such as England, France, the Soviet Union (Later known as Russia), and China to build it too, which gave these countries a huge advantage in war. America’s stock market bounced back. President Harry Truman became popular for ending World War II.

Step-by-step explanation:

Sorry I'm late

803 words

Answer:

(7n^2+8n+2)

Step-by-step explanation:

(7n^2+9n+9)–(n+7)

Distribute the minus sign

(7n^2+9n+9)–n-7

Combine like terms

(7n^2+8n+2)

Answer: x^2 (x+1) (4x-9)

Step-by-step explanation:

We can test the equation above x^2 (x+1) (4x-9) to see if it is true or not by rewriting it

x^2 ( 4x^2 -9x +4x -9)

x^2 (4x^2 - 5x -9)

4x^4 - 5x^3 - 9x^2

So x^2 (x+1) (4x-9) is the correct answer for this equation!

If you can please give me a Brainliest, I only need one more to become an Expert, thank you

Answer: its 15

Step-by-step explanation:

Answer:

last one - 4/-2

Step-by-step explanation:

two minus(-) becomes a plus(+)

Answer:

6

Step-by-step explanation:

f(x)=2x^3-5x when x=2. So f(2)=6

2cos pi/13 cos 9pi/13+ cos 3pi/13 +cos 5pi/13

=cos 10 pi/13 +cos 8 pi/13 +cos 3pi/13 +cos 5pi/13

=cos 10 pi/13 +cos 3pi/13 +cos 8pi/13 +cos 5pi/13

=2 cos pi/2 .cos 7 pi/26 +2 cos pi/2 .cos 3 pi /26

=2 (0)cos 7 pi /26 + 2(0) cos 3pi/26

=0 =R.H.S.

Answer:  see proof below

Step-by-step explanation:

Use the following identities:

2cos x · cos y = cos(x + y) + cos(x - y)

cos x + cos y = 2 cos (x + y)/2 · cos(x - y)/2

Use the Unit Circle to evaluate: cos(π/2) = 0

Proof LHS → RHS

\(\text{LHS:}\qquad \qquad \qquad 2\cos \dfrac{9\pi}{13}\cos \dfrac{\pi}{13}\quad +\quad \cos \dfrac{3\pi}{13}+\cos \dfrac{5\pi}{13}\\\\\text{Identity:}\qquad \quad \cos\bigg(\dfrac{9\pi}{13}+\dfrac{\pi}{13}\bigg)+ \cos\bigg(\dfrac{9\pi}{13}-\dfrac{\pi}{13}\bigg)+\quad \cos\bigg(\dfrac{3\pi}{13}\bigg)+\cos \bigg(\dfrac{5\pi}{13}\bigg)\)

\(\text{Simplify:}\qquad \qquad \cos\bigg( \dfrac{10\pi}{13}\bigg)+\cos \bigg(\dfrac{8\pi}{13}\bigg)+\qquad \cos\bigg(\dfrac{3\pi}{13}\bigg)+\cos \bigg(\dfrac{5\pi}{13}\bigg)\)

\(\text{Regroup:}\qquad \qquad \cos\bigg( \dfrac{10\pi}{13}\bigg)+\cos \bigg(\dfrac{3\pi}{13}\bigg)\quad +\quad \cos\bigg(\dfrac{8\pi}{13}\bigg)+\cos \bigg(\dfrac{5\pi}{13}\bigg)\)

\(\text{Identity:}\qquad 2\cos \bigg(\dfrac{10\pi+3\pi}{13\cdot 2}\bigg)\cdot \cos \bigg(\dfrac{10\pi-3\pi}{13\cdot 2}\bigg)+\quad 2\cos\bigg(\dfrac{8\pi+5\pi}{13\cdot 2}\bigg)\cdot \cos\bigg(\dfrac{8\pi-5\pi}{13\cdot 2}\bigg)\)

\(\text{Simplify:}\qquad 2\cos \bigg(\dfrac{13\pi}{26}\bigg)\cdot \cos \bigg(\dfrac{7\pi}{26}\bigg)+\quad 2\cos\bigg(\dfrac{13\pi}{26}\bigg)\cdot \cos\bigg(\dfrac{3\pi}{26}\bigg)\\\\\\.\qquad \qquad =2\cos \bigg(\dfrac{\pi}{2}\bigg)\cdot \cos \bigg(\dfrac{7\pi}{26}\bigg)+\quad 2\cos\bigg(\dfrac{\pi}{2}\bigg)\cdot \cos\bigg(\dfrac{3\pi}{26}\bigg)\\\\\\\text{Factor:}\qquad =2\cos\bigg(\dfrac{\pi}{2}\bigg)\bigg[ \cos \bigg(\dfrac{7\pi}{26}\bigg)+ \cos \bigg(\dfrac{3\pi}{26}\bigg)\bigg]\)

\(\text{Unit Circle:}\quad 2(0)\bigg[ \cos \bigg(\dfrac{7\pi}{26}\bigg)+ \cos \bigg(\dfrac{3\pi}{26}\bigg)\bigg]\)

Product of Zero         0

LHS = RHS:      0 = 0  \(\checkmark\)

The first part of the question asks to prove that the integral of (ln x)^n dx, where n is a positive integer, is equal to (-1)^(n+1) * n!. The second part of the question asks to find f(15) when f(x) = sin(x^3).

To prove that the integral of (ln x)^n dx is equal to (-1)^(n+1) * n!, we can use integration by parts. Let u = (ln x)^n and dv = dx. By applying integration by parts repeatedly, we can derive a recursive formula that involves the integral of (ln x)^(n-1) dx. Using the initial condition of (ln x)^0 = 1, we can prove the result (-1)^(n+1) * n! for all positive integers n. To find f(15) when f(x) = sin(x^3), we substitute x = 15 into the function f(x) and evaluate sin(15^3).

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Answer:

a. Non proportional

b. Proportional

c. Non proportional

Step-by-step explanation:

Here, we want to determine if each situation is proportional or not

a) Non-proportional

This is because the amount y paid in a month will be;

y = 1400x + 150

Since the amount paid is not solely dependent on the number of months, then we do not have a proportional relationship

b) proportional

y = 3/4x

The value of y is dependent solely on that of x, so the relationship is proportional

c) non proportional

Since the value of y is not solely entirely dependent on x value, then the relationship is not proportional

Answer:

20/9

Step-by-step explanation:

Not sure what you need, but here is that simplified as much as possible:

(given) 7/3 + 3 (2/3 - 1/3)^2

(subtract) 7/3 + 3 (1/3)^2

(square) 7/3 + 3 (1/9)

(mixed number to improper fraction) 7/3 + 38/9

(changing 7/3 into 1/9s) 7/3 = 21/9

(expression) 21/9 + 38/9

(adding) 40/9

(simplify) 20/9

Answer:

The correct answer is option C: 5

Step-by-step explanation:

Answer:

h = 3V/πr^2

Step-by-step explanation:

\(IF ;\\V = \frac{1}{3} \pi r^2 h\\Make ; h , subject-of-the-formula\\3V = \pi r^2 h\\Divide-both-sides-of-the-equation -by \pi r^2\\\frac{3V}{ \pi r^2} = \frac{ \pi r^2 h}{ \pi r^2 } \\\frac{3V}{ \pi r^2} = h\)

Answer:

Step-by-step explanation:

the answer is

Answer:

2

Step-by-step explanation:

count by 2ś

Answer:

Step-by-step explanation:

count by 2

The average number of customers in the factory is 0.67, and the average time per customer is 15 minutes.

a) The average number of customers in the factory can be calculated by multiplying the average arrival rate by the average repair time. The arrival rate is given as 4 customers per hour, which translates to an average of 4/60 = 0.067 customers per minute.

Multiplying this by the average repair time of 10 minutes, we get an average of 0.067 * 10 = 0.67 customers in the factory.

b) The average time each customer spends in the factory can be obtained by taking the reciprocal of the arrival rate. The arrival rate is 4 customers per hour, so the average time per customer is 1/4 = 0.25 hours or 0.25 * 60 = 15 minutes.

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