There's a catch here, and I don't really want to go into full detail. Because of
this catch, I think it would be unusually tough to write a simple equation for this
situation. If you wouldn't mind, let's just list it instead:
<u>After</u> . . <u>water added</u> . . <u>total in pool</u>
7 min . . . 14 gallons . . . 14 gallons
1 more . . 1 gallon . . . . . 15 gallons
7 more . . 14 gallons . . . 29 gallons
1 more . . 1 gallon . . . . . 30 gallons
5 more . . 10 gallons . . . 40 gallons, the pool is full
Add up all the minutes: <u>21 minutes</u>
Answer:An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference. A geometric sequence is a sequence with the ratio between two consecutive terms constant. This ratio is called the common ratio.
Step-by-step explanation:
An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference. A geometric sequence is a sequence with the ratio between two consecutive terms constant. This ratio is called the common ratio.
<span>False. Ellipses have symmetry through both major and minor axis. In order to actualize, think about folding the ellipse in half on both axis, this will create two mirror images, and thus two lines of symmetry.</span>
Answer:
- D. Y = -0.175x^2 - 3.786x + 121.119
- A. Y= 2x-2
Step-by-step explanation:
1. The data generally goes down to the right, so the peak of the curve will be to the left of the y-axis. That means the x-coefficient will have the same sign as the x^2 coefficient (negative). The values near the y-axis are large positive values, so the y-intercept is positive. The equation with these characteristics is the last one:
... D. Y = -0.175x^2 - 3.786x + 121.119
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You can have your calculator or spreadsheet program write the regression equation for you. It will give you substantially the same result. (see the attachment)
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2. For estimating a regression line through data of this sort, it often works well to use the extreme data points: (1.5, 1) and (7.5, 13). If you draw a line through these points, you find that it passes through several other points on the graph, and it has a negative y-intercept. The slope of the line is ...
... (change in y)/(change in x) = (13 -1)/(7.5 -1.5) = 12/6 = 2
Only one of your answer choices has a slope of 2:
... A. Y = 2x-2
The answer is E. if i were you, i would just plug it into my calculator