An amusement park charges $20 to enter the
park and an additional fee for each time a guest
rides a roller coaster. Emily rode 5 times on a
roller coaster. Her total payment was $40.
Shaheem rode 7 times on a roller coaster. What
was his total payment?

Surface area of the cylinder in terms of \($\pi$\) is \($5904\pi m^2$\).

The surface area of a cylinder can be calculated by adding the area of the two bases (which are circles) and the lateral area (which is the area of the curved surface).

The radius of the cylinder is given as 36m and the height as 46m. Therefore, the diameter of the cylinder is 72m (twice the radius). Using the formula for the area of a circle, we can calculate the area of each base:

\($A_{base} = \pi r^2 = \pi (36m)^2 = 1296\pi m^2$\)

The lateral area of the cylinder can be calculated using the formula:

\($A_{lateral} = 2\pi r h$\)

Substituting the given values, we get:

\($A_{lateral} = 2\pi (36m) (46m) = 3312\pi m^2$\)

Therefore, the total surface area of the cylinder is:

\($A_{total} = A_{base} + A_{lateral} + A_{base} = 2A_{base} + A_{lateral}$\)

Substituting the values we calculated, we get:

\($A_{total} = 2(1296\pi m^2) + 3312\pi m^2 = 5904\pi m^2$\)

So the surface area of the cylinder in terms of \($\pi$\) is \($5904\pi m^2$\).

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Answer:

(x-2,y+1)

Step-by-step explanation:

from point (1, 3) to (-1, 4).

x=1 to x=-1

x-2=-1

1-2=-1

from y=3 to y=4

y+1=4

3+1=4

a. Triple scalar product is defined as the product of three vectors, u, v and w which results in a scalar value and is denoted as [u, v, w].

Triple scalar product [u, v, w] can be calculated as follows:[u, v, w] = u · (v × w)  where v × w is the cross product of vectors v and w and u · (v × w) is the dot product of vectors u and (v × w).

\(u · (v × w) = 6(-3) - 3(-4) + 2(-3)

u · (v × w)  = -18 + 12 - 6

u · (v × w) = -12\)

b.   Volume of the parallelepiped with adjacent edges u, v and w can be calculated as the absolute value of the triple scalar product of vectors u, v and w. It is denoted by |[u, v, w]|.

The volume of the parallele piped with adjacent edges u, v and w can be calculated as:

\(|[u, v, w]| = |6(-3) - 3(-4) + 2(-3)| = |-18 + 12 - 6| = 0\)

The volume of the parallelepiped with adjacent edges u, v and w is 0.

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Answer:

One correct inequality is

1.19x≤10,

and the correct solution is

x≤8.

Explanation:

Let x be the number of songs Jose downloads.  Each song has a cost of $1.19; this would give the total amount spent as 1.19*x, or 1.19x.  

He has at most $10 to spend.  This means he can spend less than $10 or exactly $10; this gives us the inequality symbol ≤, which makes our complete inequality

1.19x ≤ 10.

To solve this, divide both sides by 1.19:

1.19x/1.19 ≤ 10/1.19

x ≤ 8.4.

Jose won't download a partial song, so we round this down to 8:

x≤8

Answer:

D

Step-by-step explanation:

Answer:

C. -7.4

Step-by-step explanation:

-(5(-2) + 2) + (3(3) + 2(-4.2))

(-10+2) + (9 + -8.4)

-8 + 0.6

-7.4

The approximate change is 1.

What is approximate value?

nearly accurate or precise close but not exact in value or quantity an estimated answer. a rough date.: situated close to one another. leave a rough estimate.

f(x) = x² + 4x - 1

df(x)/dx = 2x+4

f(x+dx) =  f(x)  +[ df(x)/dx ] * dx

f(x+dx) - f(x) = [ df(x)/dx ] * dx

Here, x=3 , dx= 3.1 - 3 = 0.1

f(3.1) - f(3) =  [ df(x)/dx ]  (0.1) = (2x+4) (0.1)

                                             = 10*0.1 = 1

Thus, approximate change is 1

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Answer:

t = 2

Step-by-step explanation:

   ΔGFI is isosceles triangle. GF = FI.

         ∠FGJ = ∠FIJ

        ∠FGJ = 27°

In ΔGFJ,

  In Rhombus diagonals bisect each other at 90°.

           ∠GJF = 90°

 27° + 90°+ ∠GFJ = 180 {Angle sum property of triangle}

        117 + 2t +59 = 180

               2t + 176 = 180

                         2t = 180 - 176

                         2t = 4

                           t = 4 ÷ 2

                             \(\sf \boxed{\bf t = 2}\)

Answer:

A is irrational and I believe the rest are rational

Answer: here are my answers.

Step-by-step explanation: Here are some brief answers to your questions:

1. The appearance of God is a matter of personal belief and varies across different religions and cultures.

2. This question is still debated by scientists and philosophers, and there is no clear answer. It is thought that the egg came first, as the evolution of birds and egg-laying animals predates the existence of chickens.

3. Views on what happens after death also vary across different religions and cultures. Some believe in an afterlife, while others do not.

4. Black holes are extremely dense regions in space where gravity is so strong that nothing, not even light, can escape.

5. Water is wet because it has a high surface tension, which allows it to adhere to other surfaces and create a thin film of water.

6. People die due to a variety of factors, including disease, injury, and aging.

7. The origin of the world is a complex question that has been studied by scientists, philosophers, and theologians for centuries. The most widely accepted scientific theory is the Big Bang theory, which suggests that the universe began with a massive explosion approximately 13.8 billion years ago.

8. Babies are formed through the fertilization of an egg by sperm, which occurs during sexual intercourse.

9. The sea is salty due to the presence of dissolved salts and minerals, which come from the weathering of rocks and volcanic activity.

10. The moon is sometimes visible during the day because its orbit around the Earth causes it to appear in different parts of the sky at different times.

11. The internet is a global network of interconnected computers and servers that communicate with each other using standardized protocols.

12. The sky appears blue because of the scattering of sunlight by the gases and particles in the Earth's atmosphere.

13. Wind is caused by differences in air pressure, which are created by variations in temperature, humidity, and other factors.

14. A leap year is a year that contains an extra day (February 29) to keep the calendar year synchronized with the astronomical year, which is approximately 365.25 days long.

15. The Earth spins on its axis due to the conservation of angular momentum from the formation of the solar system.

16. Blood is red because it contains hemoglobin, a protein that binds to oxygen and gives blood its characteristic color.

17. Infinity is a mathematical concept that represents a quantity that is larger than any finite number.

18. The Earth has a diameter of approximately 12,742 kilometers (7,918 miles) and a circumference of approximately 40,075 kilometers (24,901 miles).

19. The sky appears to be above us because the Earth's gravitational field holds the atmosphere in place around the planet.

20. Cutting onions releases a gas called syn-propanethial-S-oxide, which irritates the eyes and causes them to produce tears.

21. Planes fly by generating lift from their wings, which is created by the flow of air over the curved surface of the wing.

22. Telephones work by converting sound waves into electrical signals, which are transmitted over a network of wires or wireless connections.

23. Television works by transmitting images and sound over electromagnetic waves, which are received by a receiver and displayed on a screen.

24. Whether a person is right or left-handed is determined by the dominant hemisphere of their brain.

25. Electricity is a form of energy caused by the movement of electrons through a conductor.

26. Clouds float because they are made up of tiny water droplets or ice crystals that are lighter than the surrounding air.

27. Cars work by converting the energy stored in fuel into motion through a series of processes, including combustion, transmission, and propulsion.

28. The sun and moon appear to stay in the sky due to their position relative to the Earth's rotation and orbit.

29. The color of a person's eyes is determined by the amount and type of pigments in the iris.

30. Lightning is caused by the buildup and discharge of electrical energy in the atmosphere, typically between a cloud and the ground or between two clouds.

The triangles are used to prove the cosine rule which gives a²=b²-c²+2bcCosA

In trigonometry, the Cosine Rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

From the given parameters

For ΔABD, c²=x²+b² and SinB = x/c

Which yields that x=cCosb

For ΔCBD, a²= h² + (b -x )² = b²-2bx +x²) +h²

Using substitution this yields

a² = b² -c² + 2bc CosA

This gives the cosine rule from the two triangles

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Answer:

Step-by-step explanation:

one second i know the answer i just have to think

Answer:

Step-by-step explanation:

13+6/y replace y with 6

13+6/6=  6/6 is the same as 1

13+1=

14

The value of the expression is 20a⁸b²

The average expenditure is $30.62

To simply the index form, we have to expand the bracket with the given exponential value, we get;

(2a³)² x (5a²b²)

expand the bracket

4a⁶ × 5a²b²

Now, multiply the values and add the exponents

20a⁸b²

To determine the average, add the values and divide the number

30+25 + 35+24+40+35+30+25+24+25+40+35+ 30/13

398/13

$30.62

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Answer:

0

Step-by-step explanation:

Chalice with purified water = 4

With spoiled milk = 5

With flat soda = 6

Probability of Jones drinking from a chalice with purified water after Donovan had drank from 3 = 1/3

Probability = required outcome / Total possible outcomes

Total possible outcomes = (4 + 5 + 6) = 15

After Donovan drinks 3 :

Total possible outcomes = (15 - 3) = 12

If the probability of Jones choosing a chalice with purified water is 1/3 then :

(Required outcome / Total possible outcomes) =1 /3

(Required outcome / 12) = 1 / 3

Required outcome * 3 = 12

Required outcome = 12 / 3

Required outcome = 4

Therefore, since initial number of chalice with purified water is 4,

4 - 4 = 0

Then Donovan did not drink from a chalice containing purified water.

Answer:

d

Step-by-step explanation:

here is the answer -option d

Answer:

Step-by-step explanation:

We know:

5 tickets are purchased

Insurance = $17

Total = $945

x = price of 1 ticket

5x would be the total cost of the tickets, and $17 insurance is a one time charge, everything together equals $945, so our equation is:

5x + 17 = 945

Solve for x to find the price of each ticket.

5x + 17 = 945  Subtract 17 from each side

5x + 17 - 17 = 945 - 17

5x = 945 - 17

5x = 928    Divide each side by 5

5x/5 = 928/5

x = 928/5

x = $185.60

One ticket costs $185.60

Answer:

yes

Step-by-step explanation:

Caroline saved $3. 84 on a discounted item that was marked down 15% off of the original price of the item. What was the original price of the item before the discount, the original price of the item was $4.52 before the discount.

Let the original price of the item be $x. The item was marked down by 15%, so the discounted price is 85% of the original price. This is equivalent to saying that the discounted price is 100% - 15% of the original price. Mathematically, we can write this as: 0.85x = discounted price

Since Caroline saved $3.84 on the discounted item, we can write an equation that equates the amount she paid for the item to the discounted price minus the amount she saved. Mathematically, we can write this as:

0.85x - 3.84 = amount paid

Solving for x (the original price) requires us to rearrange the equation to isolate x. Mathematically, we can write this as:

x = (amount paid + 3.84) / 0.85

Substituting in the given values gives: x = ($0.00 + $3.84) / 0.85 = $4.52

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Answer:

Step-by-step explanation:

(4, -3)

A change that occurs as the result of new information or as additional experience is acquired is a change in accounting estimate. The correct answer is option (B): change in accounting-estimate.

The change in accounting estimate is a type of change that involves revising a previous estimate of an amount or other relevant measurement based on new information or developments, such as changes in market conditions or project completion timelines. It is important to note that a change in accounting estimate is different from a change in accounting principle, which involves adopting a new accounting method for recognizing and measuring certain types of transactions or events.

Additionally, a correction of an error involves fixing an error in previously reported financial information, while a change in reporting entity involves a change in the company or organization that is being reported on. All of these terms are defined within the field of accounting and are important concepts to understand for accurate financial reporting.

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Answer:

1) E

2) D

3) G

4) I

Step-by-step explanation:

1)

P = 2(l + w)

P = 2(3a + 3 + 8a - 12)

P = 2(11a - 9)

P = 22a - 18

2)

P = 22a - 18

P = 22(3) - 18

P = 66 - 18

P = 48

3)

P = a + b + c

P = 3b + 7 + 7b - 2 + 7b - 2

P = 17b + 3

4)

P = 17b + 3

P = 17(6) + 3

P = 102 + 3

P = 105

Answer:

Step-by-step explanation:

㏒₃\(27^{x}\)
= ㏒₃\(3^{3^{x} }\)

= \(3x\)㏒₃\(3\)

= \(3x\)

Answer:

Step-by-step explanation:

Given the expression for the situation

\(10.50 = 0.50 a + 3\)

The variable "a" represents the time in minutes for late pick ups.

The expression is similar to the equation of a straight line

\(y=mx+c\)    

when compared to the given expression

we can state that

y= 10.5 which is the outcome of the situation

m= gradient which is 0.5

a= independent variable which is the time in minutes

c= 3 which is the constant term

Answer:

a or number of minutes of pickups

Step-by-step explanation:

khan

The correct interpretation of the 90% confidence interval is that we can be 90% confident that the true proportion of people who shop at the local mall falls within the range of 3.45% to 5.71%.

A confidence interval is a statistical range that provides an estimate of the true population parameter. In this case, the parameter of interest is the proportion of people who shop at the local mall. The 90% confidence interval of (3.45, 5.71) means that if we were to conduct multiple random surveys and calculate confidence intervals, approximately 90% of those intervals would contain the true proportion of people who shop at the mall.

The lower bound of 3.45% suggests that at least 3.45% of the population shops at the mall, while the upper bound of 5.71% suggests that at most 5.71% of the population shops at the mall. The wider the interval, the lower the precision of the estimate, but the higher the confidence we can have in capturing the true proportion within the range.


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Answer: D: Rectangular Pyramid

Step-by-step explanation:

Answer:

Nope

Step-by-step explanation:

According to the Triangle Inequality Theorem, any 2 sides of the triangle must always be more than the third. Here, we can see that the theorem is violated because 11 + 11 < 25. Therefore, it is not a legitimate Triangle.

Answer:

10%

Step-by-step explanation:

I think it's right lol but I could be wrong I forgot a lot of this stuff

but out of all the data it goes from 22-42 so 20 points in total

there is only 2 of the data points behind 24, so it is 2/20 or 10%

for a confidence interval for a population parameter (e.g., the population mean) computed at a 91% confidence level, what proportion of all possible confidence intervals will contain the true parameter value?

For a confidence interval computed at a 91% confidence level, the proportion of all possible confidence intervals that will contain the true parameter value is 0.91.

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Answer:

(1, 4)

Step-by-step explanation:

im assuming that the point is h(1) = 4

this point is basically just h(x) = y

1 is your x

4 is your y

you plot it at the point (1, 4)

Answer:

The answer is 6.

Step-by-step explanation:

Simply by calculation.