A)

At the amusement park, you decide to ride the Ferris wheel, which has a maximum height of 50 meters and a diameter of 35 meters. It takes the wheel 11 minutes to make one revolution. Write the sinusoidal function, f(t), that models the height of your chair at any time, t.


b)Your fishing bobber oscillates up and down from the current in the river in a harmonic motion. The bobber moves a total of 2. 5 inches from its high point to its low point then returns up to the high point every 3 seconds. Write an equation modeling the motion of the bobber at its high point at time t = 0.

As Kamran has bought tiles for $60 while he needs only $50 tiles, therefore, he has bought enough tiles to cover the entire wall.

A ratio shows us the number of times a number contains another number.

Given the length of the wall on the diagram is 8 cm by  4 cm. And it is given that 4 cm is equal to 1 meters. Therefore, the original dimensions of the wall are,

8 cm → 8×(1/4) → 2 meters = 200 cms.

4 cm → 4×(1/4) → 1 meters = 100 cms

Now, the area of the wall in reality is 200 cm by 100 cm. Therefore, the total area of the wall is,

Total area = 200 cm × 100 cm = 20,000 cm²

The area of a single square tile of side length 10 cm is,

Area of a single tile = 10cm × 10cm = 100 cm²

The number of tiles that will be needed to cove the entire wall will be,

Number of tiles needed = 20000 / 100 = 200

Since the cost of a single tile is $0.25, therefore, the cost of 200 tiles will be,

Cost of 200 tiles = $0.25× 200 = $50

As Kamran has bought tiles for $60 while he needs only $50 tiles, therefore, he has bought enough tiles to cover the entire wall.

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Answer:

yes i can help you with all the time

the mean score for a critical reading test, using Excel, the probability that a random sample of 500 students will have a mean score of more than 590 can be calculated to be approximately 0.408.

To calculate the probabilities using Excel, we can utilize the standard normal distribution. First, we need to convert the sample means to z-scores by using the formula: z = (sample mean - population mean) / (population standard deviation / sqrt(sample size)). For the sample mean of more than 590, we can calculate the probability of z being greater than the corresponding z-score using the formula "=1-NORM.S.DIST(z-score,TRUE)". In this case, the z-score is (590 - 580) / (115 / sqrt(500)), which gives approximately 0.408.

Similarly, for the sample mean of less than 575, we calculate the probability of z being less than the corresponding z-score using the formula "=NORM.S.DIST(z-score,TRUE)". The z-score is (575 - 580) / (115 / sqrt(500)), which gives approximately 0.084.

Therefore, the probability that a random sample of 500 students will have a mean score of more than 590 is approximately 0.408, and the probability that the sample mean is less than 575 is approximately 0.084.

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Answer:

heyyyyyyyyyyyyyyyyyy.

what do you mean brainliest

Answer:

Step-by-step explanation:

Top left

Top right

Bottom left

Bottom right

Answer:

AAS, HL, ASA, Not enough info

Step-by-step explanation:

Answer:

m∠R=74°        m∠Q=32°

Step-by-step explanation:

PQ=RQ

So ΔPQR is a isosceles triangle

So m∠R=m∠P=74°

m∠Q=180°-m∠R-m∠P=180°-74°-74°=32°

Answer:

Question 5: Subtract the largest number - lowest number

Question 6: F

Question 7: Range

For the standard normal distribution , the probability will be 0.0401 which means option a is the correct choice.

A standard deviation (or σ) is a degree of ways dispersed the records is when it comes to the mean. Low general deviation approach records are clustered across the mean, and excessive general deviation suggests records are extra unfold out.

Using a standard normal table the area to the right of z = 1.75 is given by

P(z > 1.75) = .0401

Therefore, the correct option is a.

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Answer:

\(A = x^2 + 12x + 36\)

Step-by-step explanation:

The new square's side can be algebraically expressed as \(x + 6\), as we know it's 6 units longer than the previous square with side length \(x\).

Therefore, its area would be:

\(A = (x + 6)^2 \text{ // Remember: } (a + b)^2 = a^2 + 2ab + b^2\\\to A = x^2 + 12x + 36\)

Answer:

• Angle OYW or Angle WYO is 90°

• Angle OYX or Angle XYO is 90°

• Angle WYX is 180° [ A straight line ]

Step-by-step explanation:

Line WYX is a perpendicular bisector of radius lind of the circle.

\({}\)

The function (g+h)(n-4) is the sum of the function g(n-4) and h(n-4) will be written as (g+h)(n-4) = n² - 7n + 9.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

g(n) = n² + 4n

h(n) = - 3n - 3

The function (g+h)(n) is calculated as,

(g+h)(n) = g(n) + h(n)

(g+h)(n) = n² + 4n - 3n - 3

(g+h)(n) = n² + n - 3

Put n = n - 4, then we have

(g+h)(n-4) = (n - 4)² + (n - 4) - 3

(g+h)(n-4) = n² + 16 - 8n + n - 4 - 3

(g+h)(n-4) = n² - 7n + 9

The function (g+h)(n-4) will be (g+h)(n-4) = n² - 7n + 9.

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Answer:

Step-by-step explanation:

the 3rd option is the correct answer.

Answer:

Step-by-step explanation:

Jane's caldles:

Chris's candles:

Profit, if equal per x candles is:

Each will have profit of $10 if 10 candles sell

The completed table with regards to terms of an expression are presented as follows;

     Condition      \({}\)              (6·x + 3) + (5·x - 4)            (-4·y - 16) - 8·y + 10 + 2·y

         Exactly 3 terms          N/A     \({}\)                              N/A

         Exactly 5 terms          N/A         \({}\)                          N/A

Includes a zero pair             No \({}\)                                   No

Uses distributive property   No                                    No

Includes a negative factor   No                                    

Has no like terms                False                                False

Condition       \(8 - \dfrac{1}{2} \cdot \left(4 \cdot x - \dfrac{1}{2} + 12\cdot x -\dfrac{1}{4} \right)\)  0.25·(8·m - 12) - 0.5·(-4·m + 2)

Exactly 3 terms       No                         \({}\)                    No

Exactly 5 terms       Yes                          \({}\)   \({}\)              No

Includes a zero pair No    \({}\)                         \({}\)              Yes

Uses the distributive property Yes            \({}\)             Yes

Includes a negative factor      Yes           \({}\)                Yes

Has no like terms                    No          \({}\)                  No

A mathematical expression is a collection of variables and numbers along with mathematical operators which are all properly arranged.

The details of the conditions in the question are as follows;

Terms of an expression

A term is a subunit of an algebraic expression which are joined together by operators such as addition or subtraction

Zero pair

A zero pair are two numbers that when added together have a zero result

Distributive property

The distributive property of multiplication states that the multiplication of a number or variable by an addend is equivalent to the sum of the multiplication of the number or variable and each member of the addend

Negative factor

A negative factor is a factor that has a negative sign prefix

Like terms

Like terms are terms consisting of identical variables with the same  powers of the variable

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Answer:

C. y = 2 (x + 3)³ − 4

Step-by-step explanation:

y = x³

Stretch vertically by 2.

y = 2x³

Shift horizontally 3 units to the left.

y = 2 (x + 3)³

Shift vertically 4 units down.

y = 2 (x + 3)³ − 4

The probability that a randomly selected college student will find a parking spot in the library parking lot in less than 3 minutes is found as  `0.7475`. Hence, the option D is correct.

The length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 2.5 minutes and a standard deviation of 0.75 minute.

We are supposed to find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than 3 minutes.

So, we need to find `P(x < 3)` where `x` is the time taken to find a parking spot in the library parking lot.

Now, z-score will be

`z = (3 - 2.5)/0.75

= 0.67`

By looking at the z-score table, the probability that corresponds to z = 0.67 is 0.2514.

Therefore,

`P(x < 3) = P(z < 0.67)

= 0.2514 + 0.5

= 0.7514

≈ 0.7475 (approx)`

So, the correct option is `0.7475`. Hence, the answer is option D.

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The main advantage of an independent measures design is that it reduces the risk of order or practice effects and minimizes the influence of individual differences between participant

An independent measures design, also known as a between-subjects design, is a type of research study in which different groups of participants are used for each condition being tested.

In other words, each participant is only exposed to one condition, and the data from each group is analyzed and compared to determine if there are any significant differences between the groups.

The main characteristics of an independent measures design are:

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The dimensions of a horizontal cross-section will vary depending on the specific shape or object being considered.

To determine the dimensions of a horizontal cross-section, we need more specific information about the object or shape in question.

A horizontal cross-section refers to a slice or cut made parallel to the horizontal plane.

The dimensions of a horizontal cross-section will depend on the shape or object being sliced. For example, if we have a rectangular prism, a horizontal cross-section would result in a rectangle.

The dimensions of this rectangle would be equal to the dimensions of the corresponding face of the prism.

If we have a cylindrical object, a horizontal cross-section would result in a circle. The dimensions of this circle would be determined by the radius or diameter of the cylinder.

It is essential to provide more information about the shape or object to determine its corresponding horizontal cross-section dimensions.

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Considering the dot plot and visual inspection, it is likely that group B has a lower mean. The reason for this is because it has a higher proportion of it's measures to the left of the dot plot than group A.

The mean of a data-set is given by the sum of all observations in the data-set divided by the cardinality of the data-set, which represents the number of observations in the data-set.

The dot plot shows the number of instances that each observation appeared in the data-set, hence we use it to identify the position of the measures.

Group B has more dots at the left of the graph, meaning that the smaller measures are more common than in group A, and thus it more than likely has a lower mean.

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Answer:

0.4

Step-by-step explanation:

if u reduce that fraction it would be 4/10 which is 0.4 in decimal form

The new area of the given replica's base is; 6250 m²

We are given;

Area of base of statue = 625 m²

Now, an artist wants to create a replica of the base of statue but in the ratio 1:10.

This means that the area will increase by a factor of 10 as 1 sq.unit of the old area will represent 10 sq. units in the new one.

Thus, new area = 625 * 10

New area of statue = 6250 m²

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The approximate area of the unshaded region under the standard normal curve is 0.18.

To determine the approximate area of the unshaded region under the standard normal curve, the shaded area is first determined and subtracted from the total area. The shaded area in this problem ranges from -2 to +1.The total area under the curve is 1.The shaded area from -2 to 1 is 0.8413 + 0.4772 = 0.8185. Therefore, the area of the unshaded region is 1 - 0.8185 = 0.1815 or approximately 0.18. Answer: The approximate area of the unshaded region under the standard normal curve is 0.18.

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Step-by-step explanation:

5miles=8km

so, x miles=32km

8x=160

x= 160÷8

=20miles

Answer:

no

Step-by-step explanation:

he left the line at the origin, so he didn't translate anything

Answer: 40 weeks

Step-by-step explanation:

1000/x=25

1000 divided by 25=40

x=40 weeks

Answer:

Step-by-step explanation: 1 of them

The solution for t in terms of a is t = a/18 - 5/6

From the question, we have the following equation that can be used in our computation:

a= 18t + 15

Subtract 15 from both sides of the equation

So, we have the following representation

18t = a - 15

Divide both sides of the equation by 18

So, we have the following representation

t = a/18 - 15/18

Simplify the fraction

t = a/18 - 5/6

Hence, the solution is t = a/18 - 5/6

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Answer:

The balance in her account is $329.75

Answer:

the angle of CAD is 100°

Step-by-step explanation:

all of the angles inside of the triangle should add up to 180°

so 180=x+80+20, which equals 80°

the angle of a straight line is 180° so use the inside angle of the triangle 80°

180=x+80, now the angle CAD equals 100°