If Fx) = x-5 and G(x) = x2 , what is G(F(x))?

Let

x -----> number of rides

y ----> the total cost

so

The linear equation that represents both situations are

y=40 -----> equation A

y=x+15 ----> equation B

equate both equations

40=x+15

solve for x

x=40-15

x=25

therefore

Answer:

x = 16

Step-by-step explanation:

Step-by-step explanation:

100+14.75%

100+14=114

=114.75%

Answer:

82

Step-by-step explanation:

Since x=7, you would put that value into the equation. i.e put that value, of 7, instead of x.

x² + 6x - 9

Answer:

260.52cm^

Step-by-step explanation:

The solution to the inequalities given are graphed in the diagram attached below.

When graphing an inequality, a full circle is used when the sign involved is "≤ or ≥", while an empty circle is used to indicate the point on the graph when the inequality sign is "< or >".

The inequalities would be solved as shown below:

15. ¾x + 5 > 11

Subtract 5 from both sides

¾x > 11 - 5

¾x > 6

3x > 24

Divide both sides by 3

3x/3 > 24/3

x > 8

16. -5/6x - 1 ≥ 14

Add 1 to both sides

-5/6x ≥ 14 + 1

-5/6x ≥ 15

-5x ≥ 90

Divide both sides by -5

x ≤ -18

17. 5x - 2 ≤ -7

Add 2 to both sides

5x ≤ -7 + 2

5x ≤ -5

x ≤ -1

18. 6 - x ≤ 14

Subtract 6 from both sides

-x ≤ 14 - 6

-x ≤ -8

x ≥ 8

19. 4 - 1/3x > 11

Subtract 4 from both sides

-1/3x > 11 - 4

-1/3x > 7

-x > 21

x < -21

20. (x + 11)/-2 < -2

x + 11 < 4

Subtract both sides by 11

x < 4 - 11

x < -7

See the image below for the graph of the solution to each inequality given.

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A)

If the order of choice is taken into consideration, we consider four possibilities for the first choice and three for the second. Then the total number of ways is given by:

B)

If the order of choices is not taken into consideration, we must divide the the previous result by 2, which is the total number of ways by which we can organize two letters (ex: AB and BA):

Answer:

The equivalent expression is;

Explanation:

Given the expression;

we want to simplify;

Applying the rules of exponent;

Therefore, the equivalent expression is;

the derivitvte of 2x^2(cotx) is −4cot2xcsc^2(2x)

Let's begin with what we know:

For an ordered pair, we have (independent variable, dependent variable)

For example, when x is the independent variable & y is the dependent variable, we have (x, y)

y = f(x)

We are to write a short statement that expresses a possible relationship between the variables below:

1. (volume of a gas tank, cost to fill the tank)

Volume of gas is the independent variable & Cost to fill the tank is the independent variable. That means that:

As the volume of the gas tank increases. the cost of filling it increases. Once the volume of the gas tank is filled, the cost to fill the tank is at its maximum

2. (time, price of a Ford sedan), where time represents years from 1975 to 2017​

Time is the independent variable & price of a Ford sedan is the independent variable. That means that:

As the time lapses from 1975 to 2017, the price of the Ford sedan depreciates/reduces.

The interval is from 0.9330 to 0.9350

For given condition;

mean = 0.9340

standard deviation = 0.0030

z-score at 98% = 2.33

n = size of sample = 47

Step 1: calculate the standard error of the mean

standard error of mean  =  z-score * standard deviation/sqrt(n)

                                        =  2.33 * 0.0030/[tex]\sqrt{47}[/tex]

                                        = 0.0010

step 2: upper limit  =  mean + standard error

                                =  0.9340 + 0.0010

                                = 0.9350

           lower limit  =  mean - standard error

                              =  0.9340 - 0.0010

                              = 0.9330

Hence, the interval is from 0.9330 to 0.9350

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Answer:

10 meters per hour

Step-by-step explanation:

Velocity = Distance / Time

The number of pencils he paid for is 15.

He bought some pencils for N60.00.

If he had paid N1 less for each pencil, he could have bought 5 more pencils.

Let

x = cost of each pencil that amount to N60.00

y = number of pencil

Therefore,

xy = 60

y = 60 / x

(y + 5)(x - 1) = 60

(60 / x + 5)(x - 1) = 60

60 - 60 / x + 5x - 5 = 60

- 60 / x + 5x  + 55 = 60

- 60 / x + 5x = 60 - 55

- 60 / x + 5x = 5

- 60 + 5x² / x = 5

5x = -60 + 5x²

5x² - 5x  - 60 = 0

x² - x - 12 = 0

x² + 3x - 4x - 12 = 0

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

(x - 4)(x + 3)

Hence,

x = 4 and x = -3

We can only use positive value.

xy = 60

y = 60 / 4

y = 15

Therefore, he paid for 15 pencils.

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The solution of the system of linear equations 2x + 3y = 6 and -3x + 5y = 10 is (0, 2).

Linear equation:

Linear equation refers an equation in which the highest power of the variable is always 1. It is also called as a one-degree equation.

Given,

Here we have the following system of linear equations.

2x + 3y = 6

-3x + 5y = 10

Now, we need to find the solution for the equations.

Here we have to use the substitution method to solve this one,

To do the substitution method we have to follow the following steps:

Step 1) Solve anyone of the equations either for the variable x or y

Step 2) Now, substitute the value obtained from step 1 to the other equation

Step 3) Finally, solve the equation to find the value of the remaining variable.

Here we have to take the equation (2), and we have to solve it for the value of y,

For that we have to rewrite the equation as,

5y = 10 + 3x

y = (10 + 3x)/5

Apply the value of y on the equation (1), in order to get the value of x,

So,

2x + 3(10 +3x)/5 = 6

2x + (30 + 9x)/5 = 6

(10x + 9x + 30)/5 = 6

19x + 30 = 30

19x = 0

x = 0

Now, apply the value of x on the equation in order to get the value of y,

y = (10 + 3(0))/5

y = 10/5

y = 2.

Therefore, the resulting ordered pairs for the system of linear equation is (0, 2).

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Answer:

Step-by-step explanation:

y = 1.416x − 0.76

For (7, 8):

residual value = Measured value - Predicted value

residual value = (actual y-coordinate of the point, y2) - (value of y from the equation, y1)

When x = 7:

value of y from the equation, y1 = 1.416*7 - 0.76

                                                  y1 = 9.912 - 0.76

actual y-coordinate of the point, y2 = 8

From:

residual value = (actual y-coordinate of the point, y2) - (value of y from the equation, y1)

residual value = y2 - y1

residual value = 8 - 9.152

Answer:

A: -1.152

Step-by-step explanation:

I did it and it was right!

Answer: B=30

Step-by-step explanation:

because of corresponding angles

Hope this helps! have a great day!

sorry also if you can could you please give a brainliest it would help a lot

For first, ∠J=55°, ∠L=55°, ∠K=70°. For second, ∠T=34°, ∠S=34°, ∠R=112°,

For third, AB=5, BC=10, AC=10. For fourth, XY=29, XZ=48, YZ=29

An isosceles triangle definition states it as a polygon that consists of two equal sides, two equal angles, three edges, three vertices and the sum of internal angles of a triangle equal to 180°.

For 1,

in ΔKJL,

KJ=KL

So,

∠J=∠L

∠J=180-125

∠J=55°

∠L=55°

∠K=180-(55+55)

∠K=70°

For 2,

in ΔRST,

RS=RT

So,

∠T=∠S=3x-2

3x-2+3x-2+9x+4=180°

15x=180°

x=12

∠T=3x-2=34°

∠S=3x-2=34°

∠R=9x+4=112°

For 3,

in ΔABC,

AC=BC

So,

3x+4=10

3x=6

x=2

AB=x+3=5

BC=10

AC=3x+4=10

For 4,

in ΔXYZ,

XY=YZ

So,

4x+1=29

4x=28

x=7

XY=4x+1=29

XZ=7x-1=48

YZ=29

For first, ∠J=55°, ∠L=55°, ∠K=70°.

For second, ∠T=34°, ∠S=34°, ∠R=112°,

For third, AB=5, BC=10, AC=10.

For fourth, XY=29, XZ=48, YZ=29

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(a) The probability that the next page you read contain zero is 0.8187.

(b) The probability that the next page you read contains  or more typographical errors is 0.0175.

What is probability?

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes

The probability that the next page you read contains zero. The expected number of typographical errors on a page of a certain magazine is  

That is, y = 0.2

Let  is a random variable representing the number of typos per page.

Since, we have a large number of letters per page, and the number of errors in one page will be small, we use Poisson distribution. The probability function of the Poisson distribution is defined as,

[tex]P(x = i) = e^-^y\frac{y^i}{i!},..... i = 0, 1, 2, ...[/tex]          ...(1)

Here, y is a parameter.

Find the probability that the next page you read contains zero.

That is, find P(y = 0)

plug y = 0 in equation (1), we get

P(x = 0) = 0.8187

The probability that the next page you read contain zero is 0.8187

Given the question that the probability that the next page you read contains  more typographical errors. The expected number of typographical errors on a page of a certain magazine is 0.2

That is y = 0.2

Let is a random variable representing the number of typos per page.

Find the probability that the next page you read contains more typographical errors.

That is find P(x ≥ 2)

P(x ≥ 2) = 1 - P(x ≤ 1)

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

= 1 - 0.982477

= 0.0175

The probability that the next page you read contains  or more typographical errors is 0.0175.

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It should be noted that if you are operating in class e airspace at 9,500 feet MSL with a VFR-on-top clearance during the day, the required flight visibility and distance from clouds are listed as "3 statute miles 1,000 above 500 below and 2,000 horizontal."

The average forward horizontal distance of a flying aircraft from the cockpit at which prominent unlit objects can be seen and identified during the day and substantial lighted objects can be seen and identified during the night is known as flight visibility.

Visibility requirements exist the minimal visibility for flying.

According to Aviation Rules,

(a) According to aviation regulations, no person may operate an aircraft under visual flight rules (VFR) in restricted airspace when the ceiling is less than 1,000 feet unless flying vision is at least 2 miles.

b) No person shall work a helicopter under VFR at or below 1,200 feet above the ground or within the lateral boundaries of a specified Class B, C, D, or E airspace surface area of ​​an aerodrome unless there exists clear visibility. exists at least -

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Answer:

Step-by-step explanation:

We know that:

Apply it to the given to get:

The cost of the total bill for the friends is $154.665.

This implies a levy that's paid to the government by individuals and firms.

From the information, the.group of friends’ dinner bill before tax is $122.75, sales tax rate is 8% and they want to leave an 18% tip after tax.

The total bill will be:

= Cost of food + Tax + Tip

= $122.75 + (8% × $122.75) + (18% × $122.75)

= $122.75 + $9.82 + $22.095

= $154.665

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The value of x is 29° and it's a supplementary angles.

Supplementary angles simply means the angles that have a sum that is equal to 180°

In this case, we have been given two angles. It's important to equate them together. This will be illustrated as:

2x + 15 + 5x - 38 = 180

Collect like terms

7x - 23 = 180

Collect like terms

7x = 180 + 23

7x = 203

Divide

x = 203/7

x = 29°

The complete question is written below.

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Complete question

Given angle P is 2x + 15. and angle Q is 5x - 38. Prove that they are supplementary

Aaron has to pay $ 115 when the usage gets over by 3 GBs and
$ (40 + 25x) when the usage gets over by x GBs.

How can one calculate the cost for a multiple of the same entity?
To calculate the cost of a multiple entities when the cost of a single one is given, we linearly multiply a fixed proportion to it to calculate the same.

Given, monthly fixed cost of the smart phone data plan = $ 40
Also, amount charged by the firm for each extra GB used = $ 25
Now, amount charged for three extra GBs = 25*3 = 75
Thus, net total that Aaron has to pay for 9 GBs = 40 + 75 = $ 115
Following similar arguments, amount charged for extra 'x' GBs = 25x
Thus, net total that Aaron has to pay for x GBs = 40 + 25x = $ (40 + 25x)
Therefore, Aaron has to pay $ 115 when the usage gets over by 3 GBs and $ (40 + 25x) when the usage gets over by x GBs.

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Answer:

Step-by-step explanation:

yes it does

Given: The trigonometry shown in the image

To Determine: The exact values of the six trogonometric functions of each angle shown

Solution

It can be observed that

Therefore

Using standard deviation, the maximum possible weight for the items discarded is 28004 ounces.

So,

(A) P(x > 4.14)

(B) P(4.8 < x < 5.04)

(C) P(x > x) = 0.05

(D) P(x < 5.01)

Therefore, using standard deviation, the maximum possible weight for the items discarded is 28004 ounces.

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Correct question:

The weights of items produced by a company are normally distributed with a mean of 4.5 ounces and a standard deviation of 0.3 ounces. a. What is the probability that a randomly selected item from the production will weigh at least 4.14 ounces? b. What percentage of the items weighs between 4.8 and 5.04 ounces? c. Determine the minimum weight of the heaviest 5% of all items produced. d. If 27,875 items of the entire production weigh at least 5.01 ounces, how many items have been produced?

Answer: 2 years

Step-by-step explanation: If Joe was meant to serve 5 years but then his sentence got shortened by 3 years, that means we need to use subtraction. 5 minus 3 equals 2. Therefore, the answer is 2 years.

25 components are randomly chosen and tested; if there are no more than 3 defective components, the entire batch is accepted. The probability is it that the shipment will be accepted is 0.7323.

Given that,

An organization utilizes the following acceptance sampling strategy for ordering shipments of 600 machine parts: 25 components are randomly chosen and tested; if there are no more than 3 defective components, the entire batch is accepted. This specific component is known to have a 4% fault rate.

We have to find how probability is it that the shipment will be accepted.

By binomial we get,

Binomial Problem:

n = 25 ; p = 0.04

P(0<= p <= 2)

= 0.7323

Therefore, The probability is it that the shipment will be accepted is 0.7323.

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Blaise Pascal and Pierre de Fermat, two eminent mathematicians, exchanged correspondence in the middle of the 17th century that provided the groundwork for probability and altered how scientists and mathematicians regarded uncertainty and risk.

The issue with the Duke of Tuscany (1560)

The Duke of Tuscany was a constant competitor. He had noticed that number 10 frequently occurred over number 9 in a game where three dice are tossed and the points are added. De Duke, however, asserts that there are six different ways to generate both figures.

Pyramidal dice (four-sided), which date back to Summer in the third millennium bce, are just as old as cubical dice. These dice were discovered alongside the so-called Royal Game of Ur, one of the oldest complete board games ever uncovered.

In his book A Pocket Guide to Dice & Dice Games, Keith Souter develops the Sir Farkle theory and fixes Iceland as the setting and the year as 1492.

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Answer:

Angles gh, fh,  and jh are perpendicular :)

Step-by-step explanation:

perpendicular is when line touch and they make a 90* angle and the three angles that i have listed all touch and make 90*