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Which shows the following expression after the negative exponents have been eliminated? xy^-6/x^-4y^2, x=/ 0, y=/ 0.A. x^4/y^2x^6y^6B. xx^4/y^2y^6C. x^4/y^2xy^6D. x^4y^2/xy^6
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3 months ago
Yuri invests $2,000 in an account with compound interest at 6%. Maria invests $3,500 in an account with compound interest at 4%. Using the rule of 72, T=72/R how many years with it take Yuri and Maria to double their money?
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3 months ago
Which article headline indicates a correlation between two variables?A. Exposure to radiation may be related to having certain genetic disorders.B. The number of clicks on a web page impacts the revenue earned by the website owner.C. The diet of a person can be used to determine the chances of getting diabetes.D. The incidence of a variety of cancers is related to whether a person lives in an urban or rural environment.E. The hair color of a person is linked to surviving brain cancer.NextReset
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3 months ago
Solve the following system. y = (1/2)x 2 + 2x - 1 and 3x - y = 1 The solutions are ( )and ( ) (remember to include the commas)
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3 months ago
x = y^2 - 1 2x - y = 4 Which of the following equations could be the result of using substitution to solve the system?2y 2 - y - 5 = 02y 2 - y - 6 = 02y 2 - 2y - 5 = 0
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3 months ago
HELPPPPPPP ASAP PLEASEEEE
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3 months ago
A rectangular cutting board has a perimeter of 36 inches and an area of 80 square inches. What are the dimensions of the cutting board?
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3 months ago
nstructions:View the video found on page 1 of this journal activity.Using the information provided in the video, answer the questions below.Show your work for all calculations.Here are the data for the hypothetical (or imagined) rabbit population.Year (x) 0 1 2 3 4 5 6 7 8 9 10Number of rabbits (y) 6 8 10 14 19 25 33 43 57 77 1041. Looking at the data, does this rabbit growth look linear, quadratic, or exponential? Explain your answer. (1 point)2. Make a scatterplot for the data. (2 points)3. Looking at the scatterplot, which regression model do you think fits the data? Explain your answer. (1 point)4. Using a graphing calculator, find the quadratic regression equation for the rabbit data. (2 points: 1 point for identifying constants, 1 for the equation)5. Using the quadratic regression equation from question 4, predict the number of rabbits in year 70.(2 points: 1 point for setting up the correct equation, 1 for simplifying)6. Using a graphing calculator, find the exponential regression equation for the rabbit data. (2 points: 1 point for identifying the constants, 1 for the equation)7. Using the exponential regression equation from question 6, predict the number of rabbits in year 70. (2 points: 1 point for setting up the correct equation, 1 for simplifying)8. Compare the predicted number of rabbits for year 70 using the quadratic model (question 5) with the predicted number using the exponential model (question 7). Which prediction is larger? (1 point)9. Is it reasonable to use this data set to predict the hypothetical number of rabbits for year 70? Explain. (1 point)Making a Decision10. These graphs show the scatterplot with the quadratic regression equation and the exponential regression equation.a) Which do you think is a better fit? Why? (2 points: 1 point for choice, 1 point for explanation)b) How does your answer to part (a) compare with your guess about the best model in question 1? Was your initial choice correct? (1 point)Analyze Your Results11. The video says there were an estimated 10 billion rabbits in Australia after 70 years.a) How does your predicted number of rabbits for the hypothetical population compare with the actual rabbit population in Australia in year 70? (1 point)b) Why do you think the rabbit population in Australia can grow so large? (1 point)c) What are some factors that might prevent a rabbit population from growing infinitely large? (1 point)PROMPTRabbits are cute, aren't they? [An image of a rabbit appears.] But they can have lots of cute babies, and it's not long before the babies start having babies . . .[A green image of Australia appears.]In 1859, an Australian had 24 wild rabbits shipped to the land down under. [Small rabbits begin to pop up on the image of Australia and cover it entirely.] Within 70 years, there were an estimated 10 billion rabbits in Australia. That's billion . . . with a B. It's an ecological disaster they're still dealing with.So, how do we model growth like this mathematically? Here's some hypothetical data that grow a lot like the Australian rabbit population did. [A table showing the population of rabbits per year is shown]. The rabbit population is getting larger and larger, but is this growth linear? Or would a different model work better?
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3 months ago
The graph below represents functions ƒ(x) and g(x).Which value(s) of x makes ƒ(x) = g(x) a true statement?0123
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3 months ago
The area of a rectangle is 35m^2, and the length of the rectangle is 3m more than twice the width. Find the dimensions of the rectangle.
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3 months ago
Which correlation is most likely a causation? A the positive correlation between the number of pet toys in a home and the number of appointments the homeowners makes with a veterinarian B the negative correlation between the price of movie tickets and the number of ticket sales at a theater C the positive correlation between the sales of air conditioners and the sales of bathing suits in a store D the negative correlation between the sales of sleeping bags and the sales of paint brushes in a store
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4 months ago
A waterfall in a park is located 6 miles east and 3 miles north of the visitors center. There is a picnic site 1 mile east and 2 miles north of the visitors center. How long is a trail that goes directly from the waterfall to the picnic site? a. 2.9 miles c. 3.7 miles b. 1.2 miles d. 5.1 miles
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4 months ago
Which of the following compositions produces the same image as Ro,-180°?A.Ro,90°o Ro,-90°B.Ro,-90° o T 2,0C.rx ° T 1.1D.ry ° rx
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4 months ago
the graph that represents 4 ≤ x
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4 months ago
Which of the following equations represents an account that will double after approximately 6 years? y = 1(1.50)^x y = 2(1.17)^x y = 4(1.06)^x y = 3(1.12)^x
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4 months ago
What evidence does Demosthenes offer that Philip is a threat? a. Philip robbed and insulted them. c. Philip sent them help. b. Philip killed their firstborn. d. Philip was their friend.
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4 months ago
Izracunaj opseg i povrsinu kruga upisanog u kvadrat stranice duljine 8 cm.
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4 months ago
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).The slope of diagonal AB is -------?, and its equation is ----------?.
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4 months ago
The summary statistics for all of the workers at a steel factory are shown. Four sample groups were taken from each of the four shifts. For which sample group is the mean closest to the population mean?
General
4 months ago
Find the mean and range.18 23 10 39 22 17 16 15mean = 18.1; range = 28mean = 20; range = 29mean = 20; range = 32mean = 21.9; range = 29
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4 months ago
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