From the defined functions in problem, the functions that are mapped from z to z, and onto functions are f(n) = n - 1, [tex] f( n) = [\frac{n}{2}] [/tex]. So, option(a) and option(d) are right choice.
Onto functions work on the codomain. Here we want to check if it contains elements not associated with any element in the domain. Definition: A function f: A→B is onto if, for every element b∈B, there exists an element a∈A such that f(a)=b. An onto function is also called surjective. We have a number of functions that are mapped from Z to Z and we will identify which is onto function or not. Let's consider each one by one
a) f : Z→Z such that f( n) = n - 1
For all m∈Z( Co-domain) and consider (m - 1)∈Z( domain) s.t f( m) = m - 1 = m -1 i.,e., f(a) = b. So, it is an onto function.
b) f : Z→Z such that f( n) = n² + 1
For all m∈Z( Co-domain) and consider (m - 1)∈Z( domain) s.t f( m) = m² + 1 i.,e., two values of m exist and f(a) ≠ b.So, it is not onto function.
c) f : Z→Z such that f( n) = n³ ( cubic function), If f(n) = 2, where n( domain) and 2 (co-domain)
=> n³ = 2
=> n = 2⅓
So, it is not onto function.
d) f : Z→Z such that,[tex]f( n) = [\frac{n}{2}] [/tex]
For all m∈Z( Co-domain) and consider 2m∈Z( domain) s.t f( 2m) = [tex]f(2m) = [\frac{2m}{2}] [/tex]
= m
So, for every m there exits 2m such that, f(2m) = m. Hence, the onto functions are f( n) = n - 1 and [tex]f( n) = [\frac{n}{2}] [/tex].
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DUE FRIDAY PLEASE HELP WELL WRITTEN ANSWERS ONLY!!!!
The measure of the angle LAF is 4°
Explain the term angle
An angle is a geometric figure formed by two rays that share a common endpoint called a vertex. The rays are usually referred to as the sides of the angle. Angles are measured in degrees or radians and are used in various fields, including mathematics, physics, and engineering, to describe and calculate shapes and movements.
According to the given information
Here we have:
mYL + mSF = 360°
We also know that mYS = 48 degrees and mLF = 160 degrees. Since arc YS and arc LF are on the same circle, they must add up to 360 degrees. Therefore:
mYS + mLF + mYSF = 360°
Substituting the given values, we have:
48 + 160 + mYSF = 360°
Simplifying and solving for mYSF, we get:
mYSF = 152°
Now we can find the measure of the central angle LSF that intercepts arc LF by subtracting mYSF from the measure of the arc LF:
mLF - mYSF = 160 - 152 = 8°
Finally, we can find the measure of angle LAF by dividing the central angle LSF in half, since angle LAF is an inscribed angle that intercepts arc LF:
mLAF = 1/2 * mLSF = 1/2 * 8 = 4°
Therefore, m/LAF = 4 °
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A 4-cup bottle of soda costs $6.80. What is the price per pint?
Answer: $0.85
:)
hope this hellps
Answer:
$3.40 per pint
Step-by-step explanation:
4 cups is equal to 2 pints, as there are 4 cups in 2 pints.
So let's set up an equation:
6.80/2
3.40
A contractor is building a set of stairs out of concrete. Each stair is exactly the same length, width, and height.
(a) Which solid figures can the stairs be broken into? What are the dimensions of each solid figure?
(b) How much concrete will be needed to form the stairs?
a. The stairs can be broken into a cuboid, the dimensions of the cuboid are 2.4 x 0.6 x 0.4
b. The amount of concrete needed will be 3.456 cubic units.
How to find the amount of concrete required for the stairsThe amount of concrete required is solved by solving for the voulme of a cuboid and multiplying by the number of cuboids used
The dimension of each of the cuboid is 2.4 x 0.6 x 0.4
To find the volume of the cuboid, we simply multiply the dimensions together. Therefore:
2.4 x 0.6 x 0.4 = 0.576 cubic units
Therefore, the volume of the each cuboid is 0.576 cubic units.
the number of cuboids used is 6, hence we have
= 6 x 0.576 cubic units.
= 3.456 cubic units.
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Answer: your in my class I’m not a snitch though
Step-by-step explanation:
9) For each right triangle, find the length of the side that is not given:
Answer:
A) 11.66190379
B) 9.74679
C)10.24695
D)6.32455532
Step-by-step explanation:
All of these are done by using the equation A^2 + B^2 = C^2, C being the long side and a and b being the short side.
If every 3 cm on a scale drawing is equal to 4 feet in real life, which lines on the drawing would be greater than 12 feet in real life? Select all that apply. A) 12 cm B) 6 cm C) 15 cm D) 10 cm
Answer: C) 15 cm, D) 10 cm
Step-by-step explanation:
Let's use the scale to convert the measurements on the drawing to real-life measurements in feet:
3 cm on the drawing = 4 feet in real life
To determine which lines on the drawing would be greater than 12 feet in real life, we need to find the lines on the drawing that correspond to more than 12 feet in real life.
For each line on the drawing, we can convert its length to feet using the scale:
A) 12 cm = (12/3) * 4 = 16 feet
B) 6 cm = (6/3) * 4 = 8 feet
C) 15 cm = (15/3) * 4 = 20 feet
D) 10 cm = (10/3) * 4 = 13.33 feet
Therefore, the lines that are greater than 12 feet in real life are C) 15 cm and D) 10 cm.
Answer:
C + D
Step-by-step explanation:
The population density in orange land is 18 oranges per acre exactly 792 oranges grow in orange land how many acres are there in orange light
Answer:
44 acres
Step-by-step explanation:
Population density is the number of individuals per unit area. It is a useful concept to measure how crowded or sparse a region is. For example, if we want to compare the population density of different countries, we can divide the total population by the total land area. This will give us the number of people per square kilometer or square mile.
In this case, the population density of oranges is 18 oranges per acre. This means that on average, there are 18 oranges in every acre of land that grows oranges. This can help us estimate how much land is needed to produce a certain amount of oranges. For example, if we want to know how many acres of land can produce 1000 oranges, we can divide 1000 by 18 and get 55.56 acres.
To find the area of orange land, we need to divide the total number of oranges by the population density. This will give us the number of acres that can fit 792 oranges. The formula is:
Area = Number of oranges / Population density
Plugging in the given values, we get:
Area = 792 / 18
Simplifying, we get:
Area = 44
Therefore, there are 44 acres in orange land. This means that if we have 792 oranges, we can distribute them evenly in 44 acres of land and have 18 oranges per acre.
I would imagine that X is a portion of the entire arc measure of the circle, which would be 360°, but the problem is that 360-270 does not equal any of the answer choices.
For 100 points, is anyone able to help me with this math problem?
If it's any help, this is geometry.
The value of x is 72°
What is an arc?An arc is any smooth curve joining two points. The length of an arc is known as its arc length.
A sector is the area bounded by two radii and an arc.
The measure of an arc is defined to be equal to the central angle of its sector.
Since the angle of the sector formed is 72° and it has been stated that the measure of an arc is defined to be equal the central angle of its sector, then we can say that the value of arc x is 72°.
Therefore the value of x is 72°.
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Which angles in standard position have their terminal side in quadrant II?
Select all that apply.
Angles in standard position with their terminal side in quadrant II have measures between 90 and 180 degrees.
Therefore, the angles that have their terminal side in quadrant II are
120 degrees
135 degrees
150 degrees
165 degrees
So, all of the above angles apply.
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find the mean
99, 66, 94, 100, 54, 57, 74, 91
To find the mean, you add up all the numbers and then divide by the total number of numbers:
(99 + 66 + 94 + 100 + 54 + 57 + 74 + 91) / 8 = 731 / 8 = 91.375
So the mean is 91.375.
~~~Harsha~~~
draw an appropriate tree diagram, and use the multiplication principle to calculate the probabilities of all the outcomes. hint [see example 3.]there is a 60% chance of rain today and a 60% chance of rain tomorrow. assume that the event that it rains today is independent of the event that it rains tomorrow. what is the probability that there will be no rain today and no rain tomorrow?
An appropriate tree diagram.
/ \
/ \
0.6 / \ 0.4
/ \
R NR
/ \ / \
/ \ / \
0.6 0.4 0.6 0.4
R NR R NR
Where R represents rain and NR represents no rain.
By using the multiplication principle, we can calculate the probabilities of all the outcomes by multiplying the probabilities along each path. The probability of there being no rain today and no rain tomorrow is the probability of following the path NR-NR, which has a probability of
P(NR-NR) = P(NR|NR) * P(NR) = 0.4 * 0.4 = 0.16
Hence, the probability that there will be no rain today and no rain tomorrow is 0.16 or 16%.
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Luby's MIS algorithm is likely to finish in O(log n) parallel steps, where n is the number of vertices.true or False
The statement "Luby's MIS algorithm is likely to finish in O(log n) parallel steps, where n is the number of vertices." is true because a vertex selecting each group is equal.
An independent set in a graph is a set of vertices that do not share any edges.
The algorithm starts by having each vertex randomly assign itself to one of two groups. The processors then communicate with each other to identify vertices that belong to a group with no neighbors in the same group. These vertices are then marked as part of the MIS.
In each round of communication, the number of vertices in the MIS doubles. This means that the algorithm will converge in O(log n) parallel steps, where n is the number of vertices in the graph.
The complexity of the algorithm is therefore very efficient, and it can handle large graphs with many vertices.
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It is recommended that a ramp have at least 5 feet of horizontal distance for every 1 foot of horizontal rise along an incline. The ramp shown has a vertical rise of 3 feet. Does the ramp shown match the recommended specifications? Explain.
Yes ,inclination in between 4in / 15 in < 4in / 18 in
What is incline?An inclined plane, also known as a ramp, is a flat supporting surface that is tilted at an angle from the vertical direction with one end higher than the other. It can be used to lift or lower a load.
What is horizontal and vertical?The horizontal line in coordinate geometry is the line perpendicular to the x-axis, and the vertical line is the line perpendicular to the y-axis. Horizontal lines and vertical lines will be parallel to the x-axis and the y-axis, respectively. As a result, lines that share at least one point are perpendicular to one another when they are drawn.
6 feet of horizontal distance for every 1 foot,
ramp shown has a vertical rise of 5 feet.
Therefore
M ≤ 1foot / 6 feet
Converting both to a single units of ( inches )
M ≤ 12 inches / 72 inches
Dividing by 4
M ≤ 4 inches / 18 inches
Where 5 feet = 60 inches
12 inches / 60 inches
= 4 inches / 15 inches
Therefore:
4in / 15 in < 4inch / 18 inch
The condition states the ramp has to be at least 6feet, what this means is it has to be between 0-6 so since it is lesser. Yes it meets the recommendations.
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Yes, inclination in between 4in / 15 in < 4in / 18 in
What is incline?A flat supporting surface that is inclined at an angle from the vertical direction with one end higher than the other is referred to as an inclined plane or a ramp. A load may be raised or lowered using it.
What is horizontal and vertical?In coordinate geometry, the horizontal line is the line parallel to the x-axis, while the vertical line is the line parallel to the y-axis. Vertical and horizontal lines will be perpendicular to the x- and y-axes, respectively. As a result, when lines are drawn, they are perpendicular to one another if they share at least one point.
6 feet of horizontal distance for every 1 foot,
ramp shown has a vertical rise of 5 feet.
Therefore
M ≤ 1foot / 6 feet
Converting both to a single units of ( inches )
M ≤ 12 inches / 72 inches
Dividing by 4
M ≤ 4 inches / 18 inches
Where 5 feet = 60 inches
12 inches / 60 inches
= 4 inches / 15 inches
Therefore:
4in / 15 in < 4inch / 18 inch
The condition states the ramp has to be at least 6 feet, what this means is it has to be between 0-6 so since it is lesser. Yes it meets the recommendations.
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what are the best displays for bivariate categorical data
The best displays for bivariate categorical data depend on the nature of the data and the research question. Here are a few common types of displays for bivariate categorical data:
Clustered Bar Charts: This display shows the frequency of each category of two variables side-by-side.
Stacked Bar Charts: This display shows the frequency of each category of two variables stacked on top of each other.
Mosaic Plots: This display shows the relative proportion of each combination of two categorical variables by area.
Heat Maps: This display is a two-dimensional table that is color-coded to show the relationship between two categorical variables.
Tree Maps: This display shows the proportion of each category of two variables by area.
The choice of display should be guided by the nature of the data and the research question being addressed.
~~~Harsha~~~
What is the equation of the line that is perpendicular to the given line and passes through the point (2, -2) and is perpendicular to the line represented by y=2/5x+2?
The equation of line passes through the point (2, -2) and is perpendicular to the line represented by y=2/5x+2 is y = -5x/2+3
Given that a line is passing through the point (2, -2) and is perpendicular to the line y = 2x/5+2, we need to find the equation of the line,
The equation of line is, y = mx + c, where m is the slope,
So, we know that the slopes of the perpendicular lines are negative reciprocal of each other,
So, the slope of the required line is -5/2.
Therefore, the equation will be
y = -5x/2 +c
To find c put x = 2, y = -2
-2 = -5(2)/2 + c
-2 = -5 + c
c =3
Hence, the equation is, y = -5x/2+3
Therefore, the equation of line passes through the point (2, -2) and is perpendicular to the line represented by y=2/5x+2 is y = -5x/2+3
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You invest $1000 in a certificate of deposit (CD) that earns 5% interest every year. If the function that represents growth of your money is f(x)=1.05x, in what year will your CD be at least worth $1,300
Answer: Year 6
Step-by-step explanation: The year my money would be at least $1300 is year 6.
In what year would the money be at least $1300?
The formula that can be used to determine the number of years that $100 would have a value of $1300 is:
Number of years = In(FV / PV) / r
Where:
FV = future value
PV = present value
r = interest rate
In(1300 / 1000) / 0.05
0.2623642645 / 0.05
= 5.2 years
Future value in 5 years = $1000(1.05^5) = $1276.28
Future value in 6 years = $1000(1.05^6) = $1340.10
solve the following inequality for b 5b - 3 > 8b +4 write your answer in the simplest form
Answer:
b < [tex]\frac{7}{4}[/tex]
Step-by-step explanation:
5b - 3 > 9b + 4
-4b - 3 > 4
-4b > 7
b < [tex]\frac{7}{4}[/tex]
So, the answer is b < [tex]\frac{7}{4}[/tex]
Nicole took out a 30-year mortgage for $90,000 at 7.5%. How much is her monthly mortgage payment?
Answer:
Nicole pays 629 dollars per month.
Step-by-step explanation:
I think Nicole pays $629.29 per month
Step-by-step explanation:
HELP PLEASE !!!!!
Subtract.
(9w² + 3w) - (6w² + w)
Answer:
3w²+2w
Step-by-step explanation:
(9w² +3w)-(6w²+w)
=9w²+3w-6w²-w
collecting like terms
=9w²-6w²+3w-w
=3w²+2w
=w(2+3w)
PLEASE HELP! This is due tomorrow and I'm stuck on this question.
Who is correct? Elijah or Emma? Please explain who's correct and how. Thank you.
Elijah claim is true, the median of the data is likely to be less than or equal to six because most of the team has six or less years of experience.
What is Number line ?A number line can be defined as a pictorial representation of numbers in a straight line. The numbers are placed consecutively at the same distance along the number line. It can be infinitely extended in any direction and is usually presented horizontally.
Based on the information provided, we can conclude that the Boston Celtics roster has players with 2-12 years of experience.
Elijah claim is true, three quarters of the team's total players have six or less experience
Since the total number of players in the team is not given, we cannot determine the exact number of players with six years of experience or less. However, we can say that the median of the data is likely to be less than or equal to six because most of the team has six or less years of experience.
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there are 18 major sea islands in the queen elizabeth islands of canada. there are 15 major lakes in saskatchewan, canada. (a) if you are planning a trip to visit one of these islands, followed by one of these lakes, how many different trips could you make? (b) if you plan to visit either one of these lakes or one of these islands, how many different visits could you make?
(a) Total number of trips = 270
(b) There are 33 different visits that could make.
We have the information:
There are 18 major sea islands in the queen Elizabeth islands of Canada. There are 15 major lakes in Saskatchewan, Canada.
Let us say that A indicates the major sea Islands and B indicates the major lakes.
Taking both the cases as events, we will use multiplication principle.
Based on the information, the event A occurs in m ways and the event B will occur in n ways. So, the two events will occur in m×n ways.
(a) A × B = 18 × 15
Total number of trips = 270
(b) |A| = 18
|B| = 15
A ∩B = θ (as we cannot visit both an island and lake)
Addition Principle: There are |A| + |B| ways to choose an element form
A ∪ B , when A and B are the finite sets with A ∩B = θ
|A ∪ B| = |A| + |B| = 18 + 15 = 33
Thus, There are 33 different visits that could make.
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Write an explicit formula for an, the nth term of the sequence 14, 16, 18,
The explicit formula for the nth term of the sequence 14, 16, 18, ... is an = 2n + 12.
Define sequenceIn mathematics, a sequence is an ordered list of elements that follow a specific pattern or rule. The elements can be numbers, letters, or other objects. Each element in the sequence is called a term, and the position of a term in the sequence is determined by its index or subscript.
The given sequence is an arithmetic sequence with a common difference of 2.
The first term (a₁) is 14.
The nth term of an arithmetic sequence can be found using the formula:
aₙ = a₁ + (n - 1)d
where d is the common difference.
Substituting the given values, we get:
aₙ = 14 + (n - 1)2
Simplifying, we get:
aₙ = 2n + 12
Therefore, the explicit formula for the nth term of the sequence 14, 16, 18, ... is an = 2n + 12.
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An advertising banner has four sections.two sections are congruent trapezoids with the bases as 1.75 and 2 with a height of 1,and two sections are congruent triangles with a width of 1.75 and a height of 1.25.
A measurement that is the best estimate of the area of the banner in square meters include the following: A. 6 m².
How to calculate the area of a trapezoid?In Mathematics and Geometry, the area of a trapezoid can be calculated by using this mathematical equation (formula):
Area of trapezoid, A = ½ × (a + b) × h
Where:
a and b represent the base areas of a trapezoid.h represent the height of a trapezoid.Based on the information provided about the two congruent trapezoid, we can logically deduce that they both have the same base area of 1 m.
This Means the total base of the entire triangle will be;
Base area = 1 + 1 ¾ + 1 + 1 ¾
Base area = 1 + 1.75 + 1 + 1.75
Base area = 5.5 m
Height of main triangle = 2 m
Area of banner = ½ × 5.5 × 2 = 5.5 ≈ 6.0 m²
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Complete Question:
An advertising banner has four sections, as modeled below. Two sections are congruent trapezoids, and two sections are congruent right triangles. Which measurement is the best estimate of the area of the banner in square meters?
6 m²
15 m²
8 m²
10 m²
Pythagorean Theorem 100 points brainliest
Chipwich Summer Camp surveyed 100 campers to determine which lake activity was their favorite. The results are given in the table.
Lake Activity Number of Campers
Kayaking 15
Wakeboarding 11
Windsurfing 7
Waterskiing 13
Paddleboarding 54
If a circle graph was constructed from the results, which lake activity has a central angle of 54°?
Kayaking
Wakeboarding
Waterskiing
Paddleboarding
Question 12
A recent conference had 750 people in attendance. In one exhibit room of 70 people, there were 18 teachers and 52 principals. What prediction can you make about the number of principals in attendance at the conference?
There were about 193 principals in attendance.
There were about 260 principals in attendance.
There were about 557 principals in attendance.
There were about 680 principals in attendance.
The activity with a central angle of 54° is Kayaking and there were about 557 principals in attendance based on the prediction
The activity with a central angle of 54°The formula to calculate the central angle for an activity is:
central angle = (number of campers for the activity / total number of campers) x 360°
Using this formula, we can calculate the central angle for each activity:
Kayaking: (15/100) x 360° = 54°
Wakeboarding: (11/100) x 360° = 39.6°
Windsurfing: (7/100) x 360° = 25.2°
Waterskiing: (13/100) x 360° = 46.8°
Paddleboarding: (54/100) x 360° = 194.4°
Therefore, the activity with a central angle of 54° is Kayaking.
Predicting the number of principals in attendance at the conference?To make a prediction about the number of principals in attendance at the conference, we can assume that the proportion of principals in the exhibit room is similar to the proportion of principals in the whole conference.
In the exhibit room, out of 70 people, 52 were principals.
So, the proportion of principals in the exhibit room was 52/70
We can predict the number of principals in attendance at the conference as follows:
Number of principals = proportion of principals x total number of attendees
If we plug in the values, we get:
number of principals = 52/70 x 750 = 557
So, based on this prediction, we can say that there were 557 principals in attendance at the conference.
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191 cm
191 cm
162 cm
162 cm
170 cm
170 cm
152 cm
152 cm
192 cm
192 cm
168 cm
168 cm
201 cm
201 cm
205 cm
205 cm
190 cm
190 cm
161 cm
161 cm
193 cm
193 cm
195 cm
195 cm
177 cm
177 cm
Answer:
152 cm, 161 cm, and 162 cm
1) Consider the quadratic function: f (x) = (x + 3)2 – 2 and a function, g(x), which is created by translating
f (x) three units to the right, two units up, and reflected vertically over the x-axis. Complete the following tasks:
a) 15 points: Graph f (x) on the axes below and label it. Graph g(x) on the axes below and label it.
b) 10 points: Write the vertex form equation for g(x) below.
The graph of both functions are in the image at the end, and the vertex of g(x) are (0, 0).
How to graph the function g(x)?Here we know that the function f(x) is:
f(x)= (x + 3)² - 2
And g(x) is a translation of 3 units to the right, 2 units up, and reflected over the x-axis, then we have:
g(x) = -[ f(x - 3) + 2]
Replacing f(x) we get:
g(x) = -[ (x + 3 - 3)² -2 + 2]
g(x) = -x²
The graphs of both functions are the ones in the image at the end, there we can see that the vertex of g(x) is (0, 0).
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4) Hansen attaches his A+ test to the refrigerator with a circular magnet. Out of curiosity,
he measures the magnet and calculates that it has a diameter of 2 inches. What is the
magnet's area?
() Use 3.14 for л. If necessary, round your answer to the nearest hundredth.
square inches
Submit
The magnet's area is approximately 3.14 square inches.
What is circle?
Every point in a horizontal surface that is a certain distance above another point forms a circle (center).
The area of a circle is given by the formula:
[tex]A = \pi r^2[/tex]
where π is approximately equal to 3.14 and r is the radius of the circle. Since the diameter of the magnet is given as 2 inches, the radius is half of that, or 1 inch.
Plugging this value into the formula, we get:
[tex]A = 3.14 * 1^2[/tex]
A = 3.14 square inches
Therefore, the magnet's area is approximately 3.14 square inches.
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How many square feet are in 288 square inches
{1 inch = 12 square feet}
A pair of fair dice is rolled. What is the probability that the number landing uppermost on the first die is a 6 if it is known that the sum of the numbers landing uppermost is 7?
The probability that the landing uppermost of the first die is 6 given the conditions as required is; 1/36.
What is the probability given the requirements as stated?It follows from the task content that; the probability that the number landing uppermost on the first die is a 6 if it is known that the sum of the numbers landing uppermost is 7 is to be determined.
This implies that the first die gives 6 and the second die gives 1 so that the required probability is;
P = (1/6) × (1/6)
P = 1 / 36.
Ultimately, the required probability as described is; 1/36.
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Logan takes a trip to an amusement park and rides a Ferris wheel. The graph below shows the height, in feet above the ground, of his car over time, t, measured in minutes. Write an equation in terms of y, height in feet above the ground, and t, time in minutes, to represent the given context.
We can write the equation as:
y = 80 sin(2π/5 t) + 280
How can we calculate?
Finding the oscillation's period will help us get started. Since the height repeats every five minutes, it appears from the graph that the period is five minutes.
The distance between the oscillation's highest and lowest points, or its amplitude, can then be determined. Given that 80 feet separate the highest and lowest points on the graph, it appears that the amplitude is 80 feet.
We determine the vertical shift of the graph, which is the height of the Ferris wheel when t = 0. From the graph, it appears that the vertical shift is 280 feet, since that is the height of the car when t = 0.
Putting it all together, we can write the equation as:
y = 80 sin(2π/5 t) + 280
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