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aniked [119]
3 years ago
8

Scarlett bought an ant farm with 80 ants. Frond the following week forward, the ant population tripled every week. Let g(n) be t

he number on ants in scarletts farm in the nth week since she got it. G is a sequence. What kind is it? Write an explicit formula for the sequence starting with g(n)=? Need help really bad I’m stuck and can’t figure out what it is
Mathematics
1 answer:
saw5 [17]3 years ago
7 0

Answer:

g(n)=80×3^(n-1)

Step-by-step explanation:

First term (a)=80

The ant population tripled every week.

So, the population of ant after 1st week will be (80 × 3) = 240

After 2 weeks, the population triples again.

We have, (240 × 3) = 720

Common ratio (r)=720/240

=3

r=3

The ants population is increasing in a geometric progression

A geometric progression is given by

g(n)=a × r^(n-1)

Substitute values of a and r to get the explicit formula

g(n)=a × r^(n-1)

g(n)=80×3^(n-1)

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I need help with geometry
swat32

Answer:

6m

Step-by-step explanation:

Set up a proportion:

x/1.5=10/2.5

Cross multiply:

15/2.5=2.5x/2.5

x=6

The palm tree is 6m tall.

Hope this helps!

7 0
2 years ago
Help please!
larisa86 [58]

Answer:

The point at (-7, -5) = a

The point at (9, 3) = b

The point at (-3, 7) = c

The "a" point of the triangle is 12 units away from the center point.

So, 12 x 1/4

=> 12/4

=> 3

So, the "a" point of the dilated figure is  3 units left from the center.

=> So, the dilated "a" point is at (2, -5)

The "b" point is 8/4 (= rise/run = y-axis / x-axis) from the center point.

=> 8/4 = 2

So, the "b" point of the dilated figure is 1 unit right and 2 units up from the center point.

=> So, the dilated "b" point is at (6, -3)

The "c" point is 12/8 units away from the center point.

=> 12/8 x 1/4

=> 3/2

So, the "c" point of the dilated figure is 3 units up and 2 units left from the center point.

=> So, the dilated "c" point is at (3, -2)

7 0
2 years ago
All of the following operations are used to solve for X in the equation below except one. Which one is it ? 9x-2=4x+8 A. Additio
gtnhenbr [62]

Step-by-step explanation:

9x - 2 = 4x + 8 → (9-4)x = 8 + 2 → 5x = 10 → x = 10/2 = 5

C. multiplication

Multiplication not used

5 0
2 years ago
100 k = help me plzzzzzzz
yan [13]

100,000 is basically the same thing as 100k

3 0
3 years ago
Reagan and Nathan are 40 miles apart on a bike trail when they start pedaling toward each other on their b bicycles. Reagan ride
irinina [24]

Answer:

They meet in 2.22 hours.

Step-by-step explanation:

We can find the time at which Reagan and Nathan meet by equaling the time as follows:

v_{R} = \frac{x_{R}}{t}  

x_{R} = v_{R}t    (1)      

v_{N} = \frac{x_{N}}{t}  

x_{N} = v_{N}t   (2)

Where R is for Reagan and N for Nathan.

Knowing that:

x_{R} + x_{N} = 40 mi

By adding equations (1) and (2) we have:

x_{R} + x_{N} = v_{R}t + v_{N}t

t = \frac{x_{R} + x_{N}}{|v_{R}| + |v_{N}|} = \frac{40 mi}{8 mi/h + 10 mi/h} = 2.22 h

Therefore, they meet in 2.22 hours.        

I hope it helps you!                                                                                                                                                                                                 

4 0
2 years ago
Read 2 more answers
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