A sequence is defined by the recursive formula f(n + 1) = 1.5f(n). Which sequence could be generated using the formula? –12, –18, –27, ... –20, 30, –45, ... –18, –16.5, –15, ... –16, –17.5, –19, ...

Answers

Answer 1

Answer: Formula f(n+1) = 1.5 f(n) => f(n+1) / f(n) = 1.5. That means, that you have to search for a sequence where the ratio of two consecutive terms is 1.5. The first sequence is the only one that meets that: - 18 / - 12 = 1.5 and - 27 / - 18 = 1.5. So, the answer is the first option: -12, -18, -27, ...

Answer 2

Answer:

Answer: –12, –18, –27, ... [ A.K.A: (A.) ]

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A pool shaped like a rectangle prism is 40 feet long 20 feet wide and 4 feet deep attached to the side of the pool is a hot tub with 1/4 the volume of the pool what is the total volume of the pool and hot tub?

Answers

V=legnth times width times height
pool=40 by 20 by 4
pool=40 times 20 times 4
pool=3200 ft^3
hot tub is 1/4 of pool
hot tub=1/4 times 3200=800

total is pool+hot tub=3200+800=4000 ft^3

What is
$1 * 1$

Answers

Answer:

Step-by-step explanation:

red bird's flight path can be modeled by the quadratic equation y=-x^2+12x-11. What is the vertex? What is the axis of symmetry? What was the total distance? What is the domain and range?

Answers

Quadratic Equation: $y=-x^2+12x-11$

What is the Vertex?
Vertex Form: $y=a(x - h)^2 + k$ , where (h, k) is the vertex of the parabola.
$y=-x^2+12x-11$
$y=(-x^2+12x)-11$
$y=-1(x^2-12x)-11$
$y=-1(x^2-12x+36-36)-11$
$y=-1(x^2-12x+36)+36-11$
$y=-1(x-6)^2+25$
Vertex is (6,25)

Axis of Symmetry?
This is just the h value so the AoS = 6

Total Distance? (I assume x-intercepts)
$y=-x^2+12x-11$
$y=-1(x^2-12x+11)$
$y=-(x-1)(x-11)$
x-intercepts are (1,0) and (11,0) so in between them was the flight.

Domain and Range?
I'm not sure what domain and range are but I found a calc online for it and it says
Domain: (−∞,∞),{x|x∈R}Range: (−∞,25],{y|y≤25}

A line has a y-intercept of -5 and passes through the point (-3, 1). write the equation of the line.

Answers

ax+c=y
x=-3 and y=1
-3a-5=1
a=-2

y intercept—> x=0 y=c=-5

Final answer:

The slope can be found using the coordinates of the given point and the y-intercept. The equation of the line is y = -2x - 5.

Explanation:

To write the equation of a line with a given y-intercept and a point, we can use the slope-intercept form:

y = mx + b.

The y-intercept is -5, so the equation becomes:

y = mx - 5.

We also know that the line passes through the point (-3, 1). To find the slope (m), we can use the formula:

m = (y2 - y1) / (x2 - x1). Substituting the coordinates, we get:

m = (1 - (-5)) / (-3 - 0)

= 6 / -3

= -2.

Plugging the slope and y-intercept into the equation, the equation of the line is: y = -2x - 5.

Learn more about Equation of a Line here:

brainly.com/question/33578579

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Please help me with these three questions...
I will be really thankful for help

Answers

Answer:

1. Terminating

2. 60

3. I don't know

Step-by-step explanation:

Evaluate the limit, if it exists. Show work.
lim→5 2−3−10 / 2−10

Answers

Answer:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form: 13/3

Decimal Form: 4.3

Mixed Number Form:4 1/3

Step-by-step explanation:

Hope this helps ;)

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