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V. Tasks 1. Write a program that accepts two integers from the user and calculate the product of the two integers 2. Write a C program to do the following:
- Declare a variable called temperature in Fahrenheit (F).
- Read the value of the temperature in Fahrenheit ( F ) ifrom the keyboard.
- Compute the temperature in Celsius based on the following formula:
C=(F−32)×5/9
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Eighth grade
2.5 Graph a line using slope
You have prizes to reveall go to yourgame board
Learn with an example
Watch a video (D)
Questions
answered Graph the line that has a slope of 101 and includes the point (0,1).
34 Click to select points on the graph.
\begin{tabular}{|c|c|}
\hline & Time tapsed \\
\hline 00 & 2529 \\
\hline \begin{tabular}{l}
3 m \\
out
\end{tabular} & Martscore of 100 O \\
\hline
\end{tabular}
(0)
Sulmiz
17. Use a graphing calculator to write an equation of the best fit line for the data. Round to the nearest hundredth.
\begin{tabular}{|l|l|l|l|l|l|l|l|l|}
\hlinex & 2.2 & 2.5 & 2.8 & 3.5 & 5.1 & 6.3 & 8.5 & 9.6 \\
\hline y & 6.1 & 7.6 & 7.8 & 6.8 & 6.6 & 8.1 & 7.5 & 8.8 \\
\hline
\end{tabular}
y=x+
1) Use the figure to answer the question. Choose the correct equation to find the value of a.
m∠MLN=m∠MLKm∠MLN+m∠MLK=90∘m∠MLN=90∘+m∠MLKm∠MLN+m∠MLK=180∘ 2) Use the figure to answer the question. Using the equation from question 1, find the value of a.
a=4.04a=31a=22.04
i
0
C. The equation of Line A is y=−31x+4. The graph of Line B is parallel to Line A and passes through the point (3,5). Graph the two lines.
A.
B.
D.
Save For the following equation, (a) give a table with at least three ordered pairs that are solutions, and (b) graph the equation.
y=∣x−5∣
(a) Complete the following table.
\begin{tabular}{|c|c|}
\hlinex & y \\
\hline-5 & 10 \\
\hline 5 & 0 \\
\hline 13 & \\
\hline
\end{tabular}
Help aidh parcon weach the destination by ploting the points and connecting them.
1) (5,9),(5,7),(6,7),(6,4),(6,1)
2) (2,8),(2,6),(4,6),(4,2),(6,2)
3) (10,3),(8,3),(8,6),(5,6),(5,8)
4) (4,3),(6,3),(6,6),(8,6),(8,7)
A graph G is obtained from a graph of y by the following sequence of transformations. Write an equation whose graph is G.
y=x2: a vertical stretch by a factor of 2, then a shift right 9 units The equation whose graph is G is □
(Type an equation.)
Write a proportion for each of the following. Do not solve. 5. If two identical tasks can be accomplished in 5 hr ., how many can be accomplished in 7 hre? 6. If three grain augers can be assembled in 5 hr ., how many can be assembled in an 8 hr . day? 7. If three pages were done in 5 min ., how many could be completed in 1 hr .? 8. If two barrels weighed 300 lb . together, how many barrels would it take to weigh 7,000lb.? 9. Logan gained 340 yd . in his first seven games. At that rate, how many games would it take him to reach a total of 1,000yd. gained? 10. It took 40 lb , to reseed 5,000yd22. How many yd. 2 could be reseeded with 225 lb .? 11. If a recipe calls for 121 cups of flour and makes 24 cookies, how many cups of flour will be needed to make 72 cookies? 12. Five yards of 72 in . fabric is needed to make three pairs of curtains. If eight pairs of curtains are needed, how many yards of fabric should be purchased?
10. Rod says that he is thinking of two functions that have the following characteristics:
a. One is rational, and has a y-intercept at -2
b. One is trigonometric, and does not include the cosine function
c. One contains the digit " 3 " and the other does not.
d. Both have an instantaneous rate of change of 1.23 (rounded to two decimal places) at x=2
e. The two functions intersect at x=2 Provide one example of a pair of functions that meet Rod's criteria. Explain your thought process in making the functions, a screenshot, and calculations to verify each criterion.
[7 marks]
In the game of roulette, a wheel consists of 38 slots numbered 0,00,1,2,…,36. To play the game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots. If the number of the slot the ball falls into matches the number you selected, you win $35; otherwise you lose $1. Complete parts (a) through ( g ) below.
Click here to view the standard normal distribution table (page 1):
Click here to view the standard normal distribution table (page 2).
(a) Construct a probability distribution for the random variable X, the winnings of each spin.
(Type integers or decimals rounded to four decimal places as needed.)
Out of 160 workers surveyed at a company, 37 walk to work.
a. What is the experimental probability that a randomly selected worker at that company walks to work?
b. Predict about how many of the 4000 workers at the company walk to work.
a. The experimental probability is □
3. The table below shows the number of snacks still in the pantry as time goes on:
\begin{tabular}{|l|c|c|c|c|}
\hline \begin{tabular}{l}
Days since \\
Store Trip
\end{tabular} & 1 & 3 & 6 & 7 \\
\hline \begin{tabular}{l}
Number of \\
Snacks
\end{tabular} & 20 & 12 & 5 & 3 \\
\hline
\end{tabular}
a. Create a scatter plot for the data from the table:
b. Draw a line of best fit.
c. What association is depicted in the graph?
d. Predict how many snacks were left by the 5th
day.
e. Predict how many snacks were left by the 10th day. .
Name:
Date: Per:
Unit 11: Sequences and Series
□
Homework 3: Geometric Sequences
This is a 2-page document! ** 1. {18,−108,648,−3888,…} 2. {27,36,48,64,…} 3. {10,4,58,2516,…} Directions: Write a rule for each sequence, then find the indicated term. 4. {−3,−9,−27,−81,…};a, 5. {−18,27,−281,4243,…};a9 6. {401,−101,52,−58,…};a11 7. {100,60,36,5108…};a8
3. A bus company has 4000 passengers daily, each paying a fare of $2. For each $0.15 increase in the fare, the company estimates that it will lose 40 passengers. If the company needs to take in (revenue) $10450 per day to stay in business, what fare should be charged? 4. Following its advertising campaign to double its toppings, Zittza Pizza decides to double the area of its 10 cm by 12 cm advertisement in the Woodbridge Times by adding the same length (number of centimeters) to both dimensions of the ad. What length must be added to each side? Give you answer correct to one decimal place?
2. [4 pts] In the diagram below, △ABC has coordinates A(1,1),B(4,1), and C(4,5). Graph and label △A′′B′′C′′, the image of △ABC after the translation five units to the right and two units up followed by the reflection over the line y=0. [Unit 2, Unit 5]
At a jazz club, the cost of an evening is based on a cover charge of $30 plus a beverage charge of $5 per drink.
(a) Find a formula for t(x), the total cost for an evening in which x drinks are consumed.
t(x)=5x+30
(b) If the price of the cover charge is raised by $5, express the new total cost function, n(x), as a transformation of t(x).
n(x)=t(x)+5 Note: Do not give an explicit formula. Using function notation, write an expression for n(x) by performing the necessary transformations to t(x). For example your answer should be of the form, n(x)=t(x−100)+180 and not of the form n(x)=80x+9.
(c) The management increases the cover charge to $35, leaves the price of a drink at $5, but includes the first two drinks for free. For x≥2, express p(x), the new total cost, as a transformation of t(x).
p(x)=□
(see note in (b) above for the correct way to express your answer)
Problem situation: Amy's cable company charges her a $75 installation fee and $89 per month for cable services.
She has had cable services for 10 months.
How much has she paid in total for cable services?
Select the equation that represents this situation.
The letter c represents the total cost of cable.
CLEAR
CHECK
89+10+75=c89×10×75=c89×10+75=c(89+75)×10=c
Problem Situation: Gabi buys tickets to the movies.
She buys 1 adult ticket for $14 and 3 youth tickets.
She pays a total of $35.
What is the cost of each youth ticket? Complete the equation to represent this situation.
The letter t represents the cost of a youth ticket.
10. Rod says that he is thinking of two functions that have the following characteristics:
a. One is rational, and has a y-intercept at -2
b. One is trigonometric, and does not include the cosine function
c. One contains the digit " 3 " and the other does not.
d. Both have an instantaneous rate of change of 1.23 (rounded to two decimal places) at x=2
e. The two functions intersect at x=2 Provide one example of a pair of functions that meet Rod's criteria. Explain your thought process in making the functions, a screenshot, and calculations to verify each criterion.
[7 marks]
22. Sketch a function that has the following properties:
f′(0)=0,f′(2)=0f′′(x)>0 on the interval (1,3)f′′(x)<0 on the intervals (−2,1) and (3,∞)limx→−∞f(x)=4limx→∞f(x)=5limx→−2f(x)=−∞
The center of a wind turbine is attached to the top of a 60 m tower and it has four spinning blades that are 40 m long. The turbine makes 40 revolutions (counterclockwise) every minute. We're trying to track the motion of a particular blade. The blade starts at an angle of 4π with the horizontal. Find a function H such that t minutes after the turbine starts turning the tip of this particular blade is at a height of H(t) feet.
H(t)=
C
RM, 15. Point P is on the terminal arm of an angle in standard position in us Quadrant 1. The distance r between P and the origin is given. Determine possible coordinates for P.
a) 29
Question 22 - of 48 Step 1 of 1
Write the following logarithmic equation as an exponential equation. Do not simplify your answer.
2x=logc(V) Answer 2 Points
8. A contestant on a game show spins a wheel that is located ona plane perpendicular to the floor. He grabs the only red peg ons the circumference of the wheel, which is 1.5 m above the floor, and pushes it downward. The red peg reaches a minimum height of 0.25 m above the floor and a maximum height of 2.75 m above the floor. Sketch two cycles of the graph that represents the height of the red peg above the floor, as a function of the total distance it moved. Then determine the equation of the sine function that describes the graph.
Consider the following integral.
∫t6e−t7dt Find a substitution to rewrite the integrand as −71eudu.
udu=−t7=(□)dt Evaluate the given integral. (Use C for the constant of integration.)
□
Remember to use capital C.
Question 4 Write an equation for the transformed logarithm shown below, that passes through (2,0) and (1,
f(x)=□
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Wodurch ist eine Ebene festgelegt? - Auftrag 3
Eine Ebene kann nicht nur durch drei geeignete Punkte festgelegt werden, sondern auch durch zwei Geraden.
a). Begründe: Zwei verschiedene, zueinander parallele Geraden legen eine Ebene fest. Im Folgenden sind zwei Geraden gegeben:
g:x=⎝⎛321⎠⎞+t⋅⎝⎛100⎠⎞h:x=⎝⎛010⎠⎞+s⋅⎝⎛100⎠⎞
b) Diese zwei verschiedenen, parallelen Geraden legen eine Ebene fest. Bestimmen eine Parametergleichung der Ebene.
7. (0-2) Podstawą prostopadłościanu jest kwadrat o boku x, a jego krawędź boczna jest o 2
krótsza od krawędzi podstawy. Wyznacz wielomian V opisujący objętość tego
prostopadłościanu. Określ dziedzinę funkcji.
142-7
2. Дан треугольник ABC:A(2;3),B(6;−5),C(0;0). Составьте уравнение средней линии MN, где M и N - середины сторон AB и BC соответственно. 3. Для данной системы векторов
and moon seen by Galileo Spacecraft. Image credit: NASA Complete the following equation to determine the force that Earth and the moon exert on each other:
F=□×□×m2□2=□
F Where m2 is the mass of Earth. Use what you know about calculating gravitational potential energy to correctly set up and solve the equation.
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Express the following equations in logarithmic form:
(a) 44=256 is equivalent to the logarithmic equation: □
(b) 10−4=0.0001 is equivalent to the logarithmic equation: □
Exemple 3: Ėve fait voler un cerf-volant qui est fixé au bout d'une corde de 50 m . Le soleil se trouve directement au-dessus de sa tête et la corde crée un angle de π/6 par rapport au sol. Le vent souffle plus fort et le cerfvolant s'élève jusqu'à ce que la corde forme un angle de π/3 par rapport au sol.
Détermine l'expression en valeur exacte qui définit la distance parcourue par l'ombre du cerf-volant entre les deux positions.
If a student scores 78%,74%, and 75% on their first 3 exams, what would they need to score on their 4th exam in order to have an exam average of exactly 80\%? Select one:
a. 93%
b. 97%
c. 95%
d. 90%
e. none of these
f. IDon't Know
Exercises: 1. A homeowner wants to fence off a rectangular garden plot next to the street. The fend along the street costs $14 per meter. The fencing along the other three sides costs $10 pe meter. The total amount of money available for fencing material is $240. Find the dime of the garden of maximum area. 2. A rancher plans to enclose a rectangular field next to a road (there will be no fence alo
y=−x+3b=3 Use the given information to write the equation of each line in the form y=mx+b.
slope =−3 and y-intercept =4
b.) m=−5 and b=0y=4−
parallel to y=6x−1 and y-intercept =−3
According to TrueCar.com, the July 2016 market average price for a 2013 Honda Civic Coupe in Bellflower, CA was xˉ=$14,995. Suppose that the standard deviation for the price was s=$1,116, based on a sample of 144 cars.
a. Construct and interpret a 90\% confidence interval for the market average price for all 2013 Honda Civic Coupes in Bellflower, CA. Use PMACC.
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Student: cristian.alvarez@ctstate.edu
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Problem Status HW7 Angular Motion Begin Date: 11/4/2024 12:01:00 AM Due Date: 11/22/2024 11:59:00 PM End Date: 12/13/2024 11:59:00 PM
Problem 4: ( 25% of Assignment Value)
A bowling ball of mass m=2.4kg drops from a height h=14.4m. A semi-circular tube of radius r=6.2m rests centered on a scale.
Alvarez, Cristian - cristian.alvarez@ctstate.edu
@theexpertta.com - tracking id: 8C84-EB-49-43-A913-26821. In accordance with Expert TA's Terms of Service, copying this information to any solutions sharing website is strictly forbidden. Doing so may result in termination of your Expert TA Account.
Ctheexpertta.com Part (a)
Write an expression for the reading of the scale when the bowling ball is at its lowest point, in terms of the variables in the problem statement and g.
W=□
g
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8
9
HOME
4
5
6
□
1
2
3
□
0
.
END
Grade Summary
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7. Students measured the diameter of many different plastic rings found in a teacher's classroom. The distribution of their measurements (M) is roughly symmetric, with a mean of 21.3 cm and a standard deviation of 1.88 cm . The teacher quickly realized that her students were measuring in millimeters and not centimeters. Additionally, they measured from the end of the ruler which was 0.5 centimeters from the mark for zero centimeters. To adjust for these errors, the teacher transforms the distribution using the following expression: 10M−0.5
Two divers were exploring a new territory. Diver 1 started at 18
* 2 points
meters above sea level and was descending at a rate of 3 meters per minute. Diver 2 started 2 meters below sea level and was ascending 2 meters per minute. When will the divers be at the same height? Let x represent minutes and y represent meters traveled. What equation represents Diver 1?
y=18x+3y=−3x+18y=3x+18
Fill in each blank to construct an ϵ−δ proof showing that
x→7lim1−x=−6 Where it asks for δ give the largest value that will work.
Proof. Let ? ✓>0 be given. Let δ be the product
δ=(□ ) (ϵ) If
| x−□1<?□
then after some algebra we arrive at ∣(1−x)−□1< ?
which is what we wanted to prove.
Note: You can eam partial credit on this problem.
\begin{align*}
\text{(b) Write a piecewise defined function to describe the usage rate.} \\
\text{NOTE: Enter the exact answer in dollars, or round to three decimal places.} \\
C(n) = \begin{cases}
\square & \text{for } 0 \leq n \leq 16 \\
\square & \text{for } n > 16
\end{cases} \\
\text{(c) What is the cost for 31 kWh?} \\
\text{NOTE: Round your answer to two decimal places.} \\
\text{The cost of 31 kWh is } \$3.35 \\
\text{(d) How many kWh can you burn on a day for } \$4? \\
\text{NOTE: Round your answer to three decimal places.} \\
\text{You can burn } 35.937 \text{ kWh on a day for } \$4. \\
\text{The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.} \\
\text{Dialogue Transcript:} \\
\text{Assistant:} \\
\text{Hi there! It looks like you're working on a problem related to piecewise functions and cost calculations for electricity usage. However, to help you complete part (b) where a piecewise function needs to be defined, I need more information about the rates for electricity usage for both when } 0 \leq n \leq 16 \text{ and when } n > 16. \\
\text{Could you provide the specific cost rates or any details about the pricing structure?} \\
\text{Once I have that information, I'll be able to assist you further.} \\
\text{User:} \\
\text{kWh: 0, 5, 10, 15, 20, 25, 30, 35, 40 cost in dollars: 0.17, 0.54, 0.93, 1.31, 2.31, 2.96, 3.61, 4.26, 4.91}
\end{align*}
2. Find a second order homogenous linear ODE in standard form for which a basis of the solution is
cos5x,sin5x Show linear independence by the Wronskian. Solve the initial value problem with initial conditions
y(0)=3,y′(0)=−5.
Graph the function.
f(x)=3x−6 Plot five points on the graph of tliz function, as follows.
- Plot the first point using the x-value that satisfies 3x=0.
- Plot two points to the left and two points to the right of the first point. Then click on the graph-a-function button.
30. Let A={(1,2,3),(2,1,0),(4,5,0)},B={(2,1,2),(3,1,2),(2,1,3)}. Find a matrix C∈M3×3(R), fulfilling the following condition. For a given vector α∈R3 : if the coordinates of α in the basis A are x1,x2,x3 and the coordinates of α in the basis B are y1,y2,y3, then
C⋅⎣⎡x1x2x3⎦⎤=⎣⎡y1y2y3⎦⎤.
The graph shows g(x), which is a translation of f(x)=x2. Write the function rule for g(x) Write your answer in the form a(x−h)2+k, where a,h, and k are integers or simplified fractions.
15) Given a parabola has a vertex at (−2,16) and a point at (3,−9)
a) Write the equation in vertex form
b) Write the equation in standard form
c) Write the equation in intercept form
A sign shows that the distance to Las Vegas is 22 miles. A traveler wants to know what this distance is in kilometers. Help the traveler by completing the parts below.
(a) Let x be the unknown number of kilometers. Using the values below, create a proportion that can be used to find x. Use the conversion 1 mile =1.6 kilometers. Values: □
1 □□□□□□
(b) Use the proportion from part (a) to find the distance to Las Vegas in kilometers. Do not round any computations.
□ kilomete
Use a system of linear equations to solve the following problem.
A new restaurant is to contain two-seat tables and four-seat tables. Fire codes limit the restaurant's maximum occupancy to 58 customers. If the owners have hired enough servers to handle 18 tables of customers, how many of each kind of table should they purchase? Write a system of linear equations using the given information. Choose correct answer below.
A. {x−y=582x−4y=18
B. {2x+4y=58x+y=18
C. {2x−4y=58x−y=18
D. {x+y=582x+4y=18 They should purchase □ two-seat tables and □ four-seat tables.
Create four (4) problems that include fractions. Solve the probl using estimation. Each problem must contain:
- at least three (3) fractions
- two (2) must include the addition of fractions
- two (2) must include subtraction of fractions.
- an explanation of your reasoning process for each problem
A number, v, is decreased by 10 and the result is then multiplied by 3 . The final result is greater than the original number. Write and solve an inequality to show the possible values that v could take.
(6) i sample of gas occupies a volume of 2.00 L when the pressure is 2.00 atm . If the pressure is changed to 1.50 atm. what volume will the gas occupy. assuming that there is no change in the temperature? 6.
A :
Baries
\begin{tabular}{|c|c|c|}
\hline \multicolumn{3}{|l|}{\begin{tabular}{l|l} 1. Factual Recall & 2. Carry out a Procedure
\end{tabular}} \\
\hline \multicolumn{2}{|l|}{The function f is logarithmic. The table shows output values over equal-length output value intervals. Complete the input values of the table.} & \multirow[t]{7}{*}{A logarithmic function has the form of g(x)=a⋅logbx, where a>1 and b is the base. Use the table in \#1 to find a and b.} \\
\hline x & f(x) & \\
\hline 1/9 & -4 & \\
\hline 1/3 & -2 & \\
\hline 0 & 0 & \\
\hline 2 & 2 & \\
\hline 4 & 4 & \\
\hline
\end{tabular}
Question
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Show Examples Write the equation of the line that passes through the points (0,9) and (0,7). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
Answer Attempt 1 out of 2
AISA
5 to the 8th power -
Start Page Jaxon has two bins. The bins are shaped like cubes with the dimensions shown. Write an algebraic expression that Jaxon can use to find the total volume, in cubic inches, of the two bins for any value of x. Then find the total volume of the bins when x=4. Use the number pad and x to enter your answers in the boxes. Algebraic Expression: 125+x3 Total Volume when x=4:189
The following table represents an exponential function.
\begin{tabular}{|c|c|}
\hlinex & y \\
\hline 0 & 4 \\
\hline 1 & 2 \\
\hline 2 & 1 \\
\hline 3 & 21 \\
\hline 4 & 41 \\
\hline
\end{tabular} The exponential function represented by the table can be written in the form y=abx. Find the values for a and b.
a=□b=□
Consider the following system of equations.
2x+3y=223x+5y=35
(a) Write a matrix equation that is equivalent to the system of linear equat
[2335][xy]=[2235]
(b) Solve the system using the inverse of the coefficient matrix.
(x,y)=(□)
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