It takes approximately 26.56 seconds for the ferris wheel to make one revolution.
The ferris wheel makes one complete revolution when the distance of the person above the ground returns to the original value after completing a full circle.
This occurs when the sine function returns to its maximum value, which is 1.
Thus, we have the following equation:
20 * sin(π/30 * t) + 10 = 20
Solving for t,
we will get:
sin(π/30 * t) = 0.5
Taking the inverse sine of both sides:
(π/30 * t) = sin^-1(0.5)
Multiplying both sides by 30/π,
we will get the following:
t = (30/π) * sin^-1(0.5)
Now solving the value of t
We will get it as: t ≈ 26.56 seconds.
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I need help please :(
Answer:
A
Step-by-step explanation:
z = 1 - i
z³ = z² × z = (1 - i)²×z = (1 - 2i - 1)×(1 - i) =
= (-2i)×(1 - i) = -2i - 2
so, both parameters are -2. therefore, A is correct
Let sets A and B be defined as follows.
A is the set of integers greater than or equal to -9 and less than or equal to - 3
B=1-29, -26, -23, 30}
(a) Find the cardinalities of A and B.
n(A) =
n (B) =
The cardinalities:
n(A) = 3
n (B) = 1.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
Let sets A and B be defined as follows.
A is the set of integers greater than or equal to -9 and less than or equal to - 3
A = {n ≥ -9 or n ≤ -3}
B = {1-29, -26, -23, 30}
B = {-28, -26, -23, 30}
The cardinalities:
n(A) = 3
n (B) = 1.
Therefore, n(A) = 3 and n (B) = 1.
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Josh multiples the number 6 by another number and the product is more than 6. Which of these could be the number that Josh multiples 6 by?
Josh multiplies 6 with number 2.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
For example, 3x – 5 = 16 is an equation.
Given,
Josh multiples the number 6 by another number and the product is more than 6.
Let the number be x
Equation becomes
6 × x = 6 + 6
6x = 12
x = 12/6
x = 2
Hence, 2 is the number that Josh multiplies 6 by.
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Convert the following quadratic to vertex form:
y = 2(x – 4) (x – 2)
Options:
A. y=2x2–12x+16
B. y=2(x–3)2−2
C. y=2(x–3)2−1
D. y=2(x2–6x+8)
Answer: It's B
Step-by-step explanation: I cheated but it's right ;-;
Factors to consider when selecting criteria for decision rules includeI. The decision maker's attitudeII. The nature of the situationI and II
Factors to consider when selecting criteria for decision rules include: III. (I) The decision maker's attitude and (II) The nature of the situation
Both the decision maker's attitude and the nature of the situation must be considered when selecting criteria for decision rules.
When selecting criteria for decision rules, it is important to consider both the decision maker's attitude and the nature of the situation. The decision maker's attitude includes their preferences, goals, and values. The nature of the situation includes the resources available to them, the timeframe, and the costs and benefits associated with the decision. Both of these factors must be taken into account in order to make an informed decision.
Here's the full task:
Factors to consider when selecting criteria for decision rules include:
Choose the right option:
I. The decision maker's attitudeII. The nature of the situationIII. I and IILearn more about criteria for decision rules: https://brainly.com/question/17192140
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HELP ME PLEASE
Write the equation of the table in
slope-intercept for function form.
X= -10,-20,-30
Y= 10,20,30
Step-by-step explanation:
please refer to the attached for details
Which of the following is the equation that represents the graph?
. y equals negative three halves times x minus 3
y equals negative three halves times x minus 2
y equals negative two thirds times x minus 3
y equals negative two thirds times x minus 2
The equation of the line representing the graph is y = - (3/2)x - 3.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
From the given information the line passes through the points
(- 2, 0) and (0, - 3).
Slope(m) = (- 3 - 0)/(0 + 2).
Slope(m) = - 3/2.
Now, - 3 = - (3/2)(0) + b.
b = - 3.
y = - (3/2)x - 3.
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define a positive integer n to be a factorial tail if there is some positive integer m such that the base-ten representation of m ! ends with exactly n zeros. how many positive integers less than 1992 are not factorial tails?
The number of positive integers which are less than 1992 and not factorial tails are 396.
Positive integer are defined as the all the integers greater then zero.There are positive integers, zero, and negative integers.
Let for some positive integer with exactly n zeros be m
Number at the end of zeros of m! be f(m)
f(m) = ( m /5 ) + ( m /25 ) + ( m /125 ) + ( m /625 ) + ....
Here 'm' is multiple of 5
So ,f(m) = f( m + 1) = f( m + 2) = f( m + 3 ) = f( m + 4 )
And f(m) ≤ ( m /5 ) + ( m /25 ) + ( m /125 ) + ( m /625 ) +...
= m / 4.03
= m / 4
Value of m greater than 7964 such that f(m) = 1991
f( 7975 ) = 1991
Number of distinct positive integer 7975 / 5 = 1595 less than 1992
Number of positive integers less than 1992 and they are not factorial tails are equal to
= 1991 - 1595
= 396.
Therefore, there are 396 positive integers which are less than 1992 and are not factorial tails.
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pls help! i need helppp!
The given system of equations has no solution.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Given system of linear equations are,
5x + y = -2
-5x - y = -1
We solve this by Elimination method.
Adding these two equations,
0 = -3
This means that the system has no solution.
Hence the given system of equations does not have a solution.
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what is the effect of increasing sample size on the cost of collecting data and the quality of the data collected?
The relationship between sample size and data quality is likewise straightforward; the quality of the data will increase as the sample size increases and vice versa.
It is typically impossible, or at least impractical, to collect data from all of the subjects you are interested in when conducting research on your clients, patients, or products. Instead, we take a sample (or subset) of the relevant population and try to learn as much as we can about the population from that sample.
Numerous factors can impact how well our sample represents the population, and hence, how valid and dependable our results will be. In this blog post, we discuss some of the important ideas that should be taken into account while conducting a survey, such as power, effect sizes, and confidence intervals and margins of error.
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Sandra Beal opened a new credit card in January. She paid a membership fee of $15 and a balance transfer fee of 5% when she moved $823.46 from her old card to her new card. During the year, she paid these finance charges: February $3.56; May, $5.82; July, $4.92; and September $2.18. What was the total annual cost of the card to Sandra?
The total annual cost of the card to Sandra is $72.65
How to find the total annual cost of the card to Sandra?To find the total annual cost of the card to Sandra, we have to add all the money Sandra paid for the new credit card for the year. This can be calculated as follow:
Membership fee = $15
Balance transfer fee of 5% of $823.46 = 5/100 * $823.46 = $41.17
February $3.56; May, $5.82; July, $4.92; and September $2.18
Total annual cost = $15 + $41.17 + $3.56 + $5.82 + $4.92 + $2.18 = $72.65
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8,502,000,000,000
In scientific notation??
ude is a full-time student working in the library at sioux city college in sioux city, iowa. what is the minimum hourly wage that jude may receive?
The minimum hourly wage that Jude may receive per hour in Sioux City is $7.25. It depends on the applicable federal and state minimum wage laws in effect in Sioux City, Iowa.
As of my knowledge cut-off in 2021, the federal minimum wage is $7.25 per hour. However, some states, including Iowa, have set a higher minimum wage. As of 2021, the minimum wage in Iowa is $7.25 per hour.
It's worth noting that the minimum wage may have changed since my training data cut-off, so I would advise checking the current laws in your area to determine the exact minimum wage that Jude may receive. Therefore the average wage per hour in Sioux City is $7.25.
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The correct question for the answer is
Jude is a full-time student working in the library at Sioux city college in Sioux city, Iowa. what is the minimum hourly wage that Jude may receive?
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write a congruence statement for the quadrilateral you created in figure AFEKJB and the image of the quadrilateral in figure MBJKGH
One of the congruence statement can be written as AFEB = MBJH.
What are Quadrilaterals?Quadrilaterals are four sided polygons which also have four vertices and four angles.
Sum of all the interior angles of a quadrilateral is 360 degrees.
Given is a figure.
First we have to draw a line segment to make two quadrilaterals out of this figure.
We can join line EB and JH to form the quadrilaterals AFEB and MBJH.
These two quadrilaterals are congruent to each other as
FA = BM
FE = BJ
EB = JH
AB = MH
Hence the congruence statement can be written as AFEB = MBJH.
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The complete question is :
Figure MBJKGH is the image of figure AFEKJB after being rotated 90 degrees counterclockwise about point K.
Imagine drawing a segment in figure AFEKJB to create a quadrilateral and also the image of the segment when rotated 90 degrees counterclockwise about point K.
Write a congruence statements for the quadrilateral you created in figure AFEKJB and the image of the quadrilateral in figure MBJKGH.
-3[tex]\sqrt{-49}[/tex]
How do you round off 73 659,650 and 793,548 to one decimal
Answer:
Below
Step-by-step explanation:
They have no decimal parts to round, so they are basically
73 659 650 .0
793 548 . 0
Triangle RST and triangle XYZ are shown.
Based on the diagrams, which information is true for triangle RST and triangle XYZ?
a. The measure of R is congruent to Y, and the measure of S is congruent to Z. If two angles in one triangle are congruent to two angles in another triangle, then the third pair of angles are also congruent. Therefore, RST and XYZ are not similar because the sides appear to be different lengths.
b. The measure of R is congruent to Y, and the measure of S is congruent to Z. If two angles in one triangle are congruent to two angles in another triangle, then the third pair of angles are also congruent. Therefore, RST and XYZ are similar.
c. RST and XYZ are similar because they have two pairs of congruent angles and the lengths of the sides are different.
d. RST and XYZ are not similar because although two pairs of angles are congruent, the third pair does not have to be congruent.
The information that is true for triangle RST and triangle XYZ is that:
The measure of R is congruent to Y, and the measure of S is congruent to Z. If two angles in one triangle are congruent to two angles in another triangle, then the third pair of angles are also congruent. Therefore, RST and XYZ are not similar because the sides appear to be different lengths. (option A)
What are similar triangles?Similar triangles are triangles that have the same shape and angle but their sizes may vary.
angle R is congruent to angle Y and
angle T is congruent to and Y.
This means that angle S is congruent to angle Z
therefore the angle in the two triangles are thesame, thus ,they are similar.
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Add. 6/38/45+2/5/9 Enter your answer in the box as a mixed number in simplest form.
Step-by-step explanation:
the correct answer is= 103
The value of d in millimeters is
What is one weakness of the maximum likelihood principle?a) only quantitative decisions are made by using the maximum likelihood principleb) it ignored other available information, such as other possible events and their consequencesc) the maximum likelihood principle focuses on objective possibilities and ignore subjective possibilitiesd) it overcompensates for socio-economic outcomes
b) The greatest likelihood concept has a fault in that it ignores other accessible information, such as alternative probable occurrences and their effects.
What is maximum likelihood principle?The maximum likelihood principle is a strategy for determining the best values for the parameters that form a model. In doing so, you improve the possibility that your model will approach the "true" model. Maximum Likelihood Estimation (MLE) is a probabilistic strategy to determining model parameter values. Parameters may be thought of as blueprints for the model because they are the foundation upon which the algorithm operates. MLE is a popular approach in machine learning, time series analysis, panel data analysis, and discrete data analysis.
Here,
The greatest probability principle is concerned with determining the parameters that best suit the observed data, but it ignores any other elements or information that may be significant. This may result in oversimplification and maybe inaccurate conclusions.
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a full circle has 360° or 2π radians. given this, how many degrees are in 1 radian?
Answer:
1 radian ≈ 57.2958
The area of a hexagon is equal to the sum of the areas of its 6 internal triangles.
Using the given measurements, what is the area, in square inches, of the regular hexagon shown above?
The area of the regular hexagon given in the figure is 360 inches²
What is the area of a triangle?The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. To find a triangle's area, use the formula area = 1/2 * base * height.
Given here: A hexagon with six triangles inscribed in it with height 10 inches and base 12 inches.
We know all the triangles must be congruent as we know that all of the sides are of equal length. Therefore, all 6 of the triangles (we get from drawing lines to opposite vertexes) are congruent triangles.
Thus area of the hexagon= 6×area of a triangle
A= 6×1/2×10×12
=360 inches²
Hence, The area of the regular hexagon given in the figure is 360 inches²
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Solve for m (type out your work and the answer)
M/8 =11
Answer: 44
Step-by-step explanation:
44/4 = 11
Answer:
88
Step-by-step explanation:
M/8 = 11
Cross multiply
M = 8×11
M = 88
on a recent quiz, the class mean was 71 with a standard deviation of 4.2. calculate the z-score (to 4 decimal places) for a person who received score of 73.
The calculated value of z-score for the mean 71 and standard deviation 4.2 with person score 73 is equal to 0.4762( upto to four decimal place)
Mean of the data 'μ' = 71
Standard deviation of the data 'σ ' = 4.2
Score obtained by a person 'X' = 73
Formula for the z-score is equal to :
Z-score = ( X - μ ) / σ
Substitute the value of mean , standard deviation , and person score to get the value of z-score we have,
⇒ Z-score = ( 73 - 71 ) / 4.2
⇒ Z-score = ( 2 ) / 4.2
⇒ Z-score = 0.47619
⇒ Z-score = 0.4762
Therefore, the value of z-score as per the given mean and standard deviation is equal to 0.4762.
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A company makes two types of electronic devices: laptops and tablets. Its business
plan says that it must produce from 70 to 130 laptops, and from 50 to 110 tablets,
per day. The total number of devices it must make per day according to the plan
ranges
from 150 to 220. Given that x is the number of laptops made per day, and y
is the number of tablets made, what are the daily constraints that the plan places on
the company? What is the maximum profit
The constraints for the company are -
70<x<130, 50<y<110 and 150<x + y<220
The objective function for maximizing profit is z = 65x + 45y.
What are business constraints?
Constraints can be business or technical in nature and are defined as restrictions or limitations on possible solutions.
Considering that x is the number of laptops and y is the number of tablets.
According to the information provided, there are between 70 and 130 laptops.
Additionally, there are between 50 and 110 tablets.
Specifically, 70<x<130 and 50<y<110.
Between 150 and 220 devices make up the total number of x + y.
This equals 150<x + y<220.
These are all limitations on daily production.
Since each laptop makes $65 in profit and each tablet makes $45.
As a result, the overall profit for laptops is $65x and for tablets it is $45y.
Consequently, the objective function z for calculating total profit is -
z = 65x + 45y
Maximize z = 65x + 45y to make the most profit.
Therefore, the constraints and maximum profit is obtained.
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A company makes two types of electronic devices: laptops and tablets. Its business plan says that it must produce from 70 to 130 laptops, and from 50 to 110 tablets, per day. The total number of devices it must make per day according to the plan ranges from 150 to 220. Given that x is the number of laptops made per day, and y is the number of tablets made, what are the daily constraints that the plan places on the company? The company sells all the electronic devices it makes. Its profit is $65 for every laptop sold and $45 for every tablet sold. What is the objective function for maximizing profit?
note that the horizontal axis represents time elapased (in minutes) since passing mile marker 291 and the vertical axis represents the disance traveled (in miles) since passing mile marker 291 . how does the distance traveled and time elapsed compare for nicole and justin as they traveled from mile marker 291 to mile marker 298 ?
It is impossible to determine how the distance traveled and time elapsed compare for Nicole and Justin based on the information provided.
The graph only shows the horizontal axis representing time elapsed and the vertical axis representing the distance traveled, but does not provide any data points or information about Nicole and Justin's specific journeys.
The information given in the statement only provides the axes of a graph but does not provide any actual data points or information about Nicole and Justin's journeys. To compare the distance traveled and time elapsed between Nicole and Justin, we would need to know the specific data points or information about their journeys, such as the starting and ending mile markers, and the corresponding time elapsed and distance traveled for each person. Without this information, it is not possible to determine how the distance traveled and time elapsed compare for Nicole and Justin.
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Rhonda and Amir are both shopping for sunglasses.
Use the drop-down menus to complete the statements about Rhonda's and
Amir's purchases.
With regard to the prompt on Percent Error, when Rhonda and Amir are both shopping for sunglasses, note that:
Rhonda's purchase was $5 off the actual cost of $20. That is a percent error of 25%.Amir's purchase was $10 off the actual cost of $100. That is a percent error of 10%.Because Amir's sunglasses cost $80 than Rhonda's sunglasses, each dollar of error in measurement results in a 35% error.What is the percent Error?A data value's approximation error is the difference between an exact value and some approximation to it.
This inaccuracy can be stated as either an absolute or relative error. A computing machine's accuracy or measurement mistake can generate an approximation error.
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Suppose a spherical astroid has a radius of approximately 8.5 x 10^2 m. Use the formula 4/3 π r^3 to find the approximate volume of the asteroid.
2.57 x 10^9 m^3
1.07 x 10^4 m^3
2.54 x 10^10 m^3
4.51 x 10^10 m^3
A spherical astroid has a radius of approximately 8.5 x 10^2 m. Using the formula 4/3 π r^3 to find the approximate volume of the asteroid, we get volume = 2.57 x 10^9 m^3.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
a spherical astroid has a radius of approximately 8.5 x 10^2 m.
we know,
the volume = 4/3 π r^3
so, by calculating, we get.
volume = 2.57 x 10^9 m^3
Hence, a spherical astroid has a radius of approximately 8.5 x 10^2 m. Using the formula 4/3 π r^3 to find the approximate volume of the asteroid, we get volume = 2.57 x 10^9 m^3.
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Martha made 3 birthday cards and she wants to make more. If she makes 5 cards an hour, how many cards will she have after 6 hours?. pls help
Answer:33
Step-by-step explanation: 5 cards times 6 hours is 30 and before you had 3 so 30+3=33.
help (50) points
Sam had seven eighths of a pizza. He ate two-fourths of it for dinner. How much of the pizza did Sam eat for dinner?
nine-twelfths
fourteen thirty-seconds
sixteen twenty-eighths
twenty-eight sixteenths or one and twelve-sixteenths
Answer:
nine-twelfths
Step-by-step explanation: