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Firlakuza [10]
3 years ago
6

Find an explicit formula for the geometric sequence 3,15,75,375 a(n)=

Mathematics
1 answer:
DENIUS [597]3 years ago
8 0

Answer:

an = 3(5)^(n-1).

Step-by-step explanation:

15 / 3 = 5

75/15 = 5

375/75 = 5

So the common ratio is 5.

First term a1 =3

an = a1 r^(n-1) is the explicit formula.

so here we have:

an = 3(5)^(n-1).

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the altitude of the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 14 and 8. what is the length
lisov135 [29]

Answer:

B. 4\sqrt{7}

Step-by-step explanation:

The right triangle altitude theorem states that the altitude of a right angled triangles formed on the hypotenuse is equal to the geometric mean of the 2 line segments it creates.

This can be represented as:

h = \sqrt{(xy)}

Where,

h = the length of the altitude,

x and y are the lengths of the 2 segments formed.

Therefore, the length of the altitude = h = \sqrt{(14*8)}

h = \sqrt{112}

h = \sqrt{16}*\sqrt{7}

h = 4\sqrt{7}

3 0
4 years ago
HELPPPPP PLEWSE POINT SLOPE FORMULA
Sergio039 [100]

Answer:

y = -3/4(x+4)

Step-by-step explanation:

The point slope formula is given by

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y-0 = -3/4(x - -4)

y = -3/4(x+4)

7 0
3 years ago
Read 2 more answers
A car drives at 45 km/h for 3 hours.<br> How far does the car travel?
stellarik [79]

Answer:

Hey!

The car travelled 135 kilometers!

Step-by-step explanation:

Here you have to do the speed (45km/h) multiplied by the time (3 hours)

45 x 3 = 135

So the car has travelled 135 kilometers!

HOPE THIS HELPS!!

8 0
3 years ago
Read 2 more answers
Can someone please help meee
Hunter-Best [27]

Answer:

-3/5

Step-by-step explanation:

put down the 5,0 and 0,3 then simply start at the 5,0 and count up how many boxes it takes to get to the three then count left how many boxes it takes to get to 0 so...3/5. then look at the line. its going down which means it is negative. so the slope is -3/5

8 0
2 years ago
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Find the population mean or sample mean as indicated.<br> Sample: 17, 11, 8, 12, 22
Dominik [7]

Answer:

mean:12

Step-by-step explanation:

6 0
3 years ago
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