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Rama09 [41]
3 years ago
11

50 Points!! Brennan has been playing a game where he can create towns and help his empire expand. Each town he has allows him to

create 1.15 times as many villagers. The game gave Brennan 5 villagers to start with. Help Brennan expand his empire by solving for how many villagers he can create with 15 towns. Then explain to Brennan how to create an equation to predict the number of villagers for any number of towns. Show your work and use complete sentences.
Mathematics
1 answer:
marishachu [46]3 years ago
3 0

Answer:

5 * 1.15ⁿ

Step-by-step explanation:


The equation would be

a1(r)^(n-1)

Now put it all together

A15= 5(1.15)^(15-1)

Count the rest and add the towns each

A15= 35.38

35 villagers now

Now you will find the equation 1

an=5(1.15)^(n-1)

So it going to equal 5 * 1.15ⁿ

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An ice cream cone has a diameter of 3 inches.The distance from the top of the cone to the point at the bottom (height) is 5 inch
solong [7]

Answer:

11.781 cubic inches (round accordingly)

Step-by-step explanation:

The formula for the volume of a cone is:

V=\frac{1}{3}\pi  r^{2} h

where r is the radius and h is the height.

For our ice cream cone:

d = 3 inches

r = 1.5 inches (the radius is half of the diameter)

h= 5 inches

So all we have to do is plug in our values and solve for the volume:

\frac{1}{3}\pi  (1.5)^{2}(5) = 11.781

So our final answer is around 11.8 cubic inches.

3 0
3 years ago
(-2,1); perpendicular to y= - 2/5x -4<br><br> Help explain step by step?
Fittoniya [83]

Answer:

  y = (5/2)x + 6

Step-by-step explanation:

The given line has a slope (coefficient of x) of -2/5. The perpendicular line will have a slope that is the negative reciprocal of this:

  -1/(-2/5) = 5/2

Since you are given a point you want the line to go through, the point-slope form of the equation of the line is useful. That form for slope m and point (h, k) is ...

  y = m(x -h) +k

For your slope m=5/2 and point (h, k) = (-2, 1), the equation of the line is ...

  y = 5/2(x +2) +1

  y = 5/2x +6 . . . . . eliminate parentheses

8 0
4 years ago
Pls help im so so so so sos os os stupid anyone?
Marat540 [252]
GE corresponds with WU
FE corresponds with VU
angle G corresponds with angle W
8 0
3 years ago
Read 2 more answers
Graph a parabola whose x-intercepts are at x = -3 and x = 5 and whose minimum value is y = -4.
shtirl [24]

Answer:

(See explanation and attachment below for further details)

Step-by-step explanation:

The parabola must satisfy the following conditions:

y + 4 = C\cdot (x - k)^{2}

y + 4 = C\cdot (x^{2}-2\cdot k \cdot x + k^{2})

The expression for the x-intercepts are, respectively:

x = -3

4 = C\cdot [(-3)^{2} - 2\cdot k\cdot (-3)+k^{2}]

\frac{4}{C} = 9 + 6\cdot k + k^{2}

x = 5

4 = C\cdot [5^{2}-2\cdot k \cdot (5)+k^{2}]

\frac{4}{C} = 25 - 10\cdot k + k^{2}

By equalizing both expressions:

9 + 6\cdot k + k^{2} = 25 - 10\cdot k + k^{2}

16\cdot k = 16

k = 1

And,

C = \frac{4}{25-10\cdot (1)+1^{2}}

C = \frac{1}{4}

The equation of parabola is:

y = \frac{1}{4}\cdot (x-1)^{2} - 4

Whose graph is included as attachment.

5 0
3 years ago
Do you need to restrict the domain of hte inverse of a cubic function
aalyn [17]
I dont believe so but im not 100% sure i hoped i helped
3 0
3 years ago
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