Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
Mara solved an exponential equation by using logarithms. This is her work. Latex: 7 \cdot 3^x=189 7 ⋅ 3 x = 189 7 ⋅ 3 x = 189 Latex: 3^x=27 3 x = 27 3 x = 27 Latex: \log _3\!(3^x)= \log _3\!27 log 3 ( 3 x ) = log 3 27 log 3 ( 3 x ) = log 3 27 Latex: x \log _3\!3=9 x log 3 3 = 9 x log 3 3 = 9 Latex: x \cdot 1=9 x ⋅ 1 = 9 x ⋅ 1 = 9 Latex: x=9 x = 9 x = 9 Review Mara's work in steps 3 and 4. (Hint: There is one mistake in those steps.) a. Be sure to explain what she did and why it was correct or incorrect for Step 3. b. Be sure to explain what she did and why it was correct or incorrect for Step 4. c. Provide Mara with feedback on what the mistake was and how to fix it.
What series of transformations would carry the rectangle onto itself? (x + 0, y − 4), 180° rotation, reflection over the y-axis (x + 0, y − 4), 180° rotation, reflection over the x‐axis (x − 4, y + 0), 90° counterclockwise rotation, reflection over the x‐axis (x − 4, y + 0), 90° counterclockwise rotation, reflection over the y-axis
PLEASE HELP MEw/ step by step plsssssAaliyah and johans are having a competition to see who can read more pages over the coming weekend Aaliyah has been miss Solomon that she can read 50 more pages than you'll have both students read at an average rate of 40 pages per hour Johan says that he is going to read for 7.5 hours this weekend how many hours will you need to read for in the order to fulfill her promise of reading 50 more pages than Yohance.
A week before a state election, a random sample of voters from City J and a random sample of voters from City K were taken. Of the 100 voters selected from City J, 65 indicated they were supporting a certain candidate for state senate. Of the 125 voters selected from City K, 75 indicated they were supporting the candidate. Which of the following is the correct test statistic for a two-sample z z -test for a difference in population proportions for the two cities (J minus K) in their support for the candidate? Responses 0.65−0.60(0.65)(0.6)(1100+1125)√ the fraction with numerator 0.65 minus 0.60 and denominator, the square root of 0.65 times 0.6 times, open parenthesis, the fraction 1 over 100 plus the fraction 1 over 125, close parenthesis, end root 0.65−0.60(0.62)(0.38)(1100+1125)√ the fraction with numerator 0.65 minus 0.60 and denominator, the square root of 0.62 times 0.38 times, open parenthesis, the fraction 1 over 100 plus the fraction 1 over 125, close parenthesis, end root 0.65−0.60(0.62)(0.38)(1100+125)√ the fraction with numerator 0.65 minus 0.60 and denominator, the square root of 0.62 times 0.38 times, open parenthesis, the fraction 1 over 100 plus 125, close parenthesis, end root 65−75(0.65)(0.60)(1100+1125)√ the fraction with numerator 65 minus 75 and denominator, the square root of 0.65 times 0.60 times, open parenthesis, the fraction 1 over 100 plus the fraction 1 over 125, close parenthesis, end root 65−750.62100+0.38125√
Starting at midnight, Aarf the Dog barks for 15 seconds and then is silent for the next 25 seconds. Aarf the Dog continues this bark-fest until 1:01 AM that same morning. How many times did Aarf the Dog bark for 15 seconds?
A cold can of juice is removed from the refrigerator and placed on the kitchen table. Which of the following statements describes the rate of change of the can's temperature? A. The rate of change in temperature is lowest within the first 5 minutes. B. The rate of change in temperature is highest after 25 minutes. C. The rate of change in temperature is negative within the first 5 minutes. D. The rate of change in temperature is almost zero after 25 minutes. Answer: In photo below You're Welcome :)
To rent a taxi in Philadelphia, the taxi service charges a flat rate of $35.80 and an additional $5.60 per mile driven. Write an equation in slope-intercept form where x represents the distance of the trip, and y represents the amount the taxi service would charge to drive that distance. Please I need help badly
