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masha68 [24]
3 years ago
8

Question:

Mathematics
1 answer:
marishachu [46]3 years ago
5 0

Answer:

A.

Step-by-step explanation:

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A turtle population grows in a manner that closely resembles a geometric sequence. Given the table of values, determine the turt
AleksandrR [38]

The turtle population will be 486 after 5 years.

<u>Step-by-step explanation</u>:

The general form of a geometric progression or geometric sequence is a, ar, ar², ar³ and so on.

where,

  • a = first term
  • r = common ratio

<u>The formula to find the nth term in GP is :</u>

nth term = ar^{n-1}

The given sequence 6,18,54.

In this sequence,

  • The first term, a = 6
  • The common ratio, r = 18/6 = 3

5th term = 6\times3^{5-1}

⇒ 6\times3^{4}

⇒ 6\times81

⇒ 486

Therefore, after 5 years the population will be 486.

5 0
3 years ago
7.7 cm
svp [43]

Step-by-step explanation:

I guess the 3.14 is to be used for pi (and not r, which is what we need to find out).

the volume of a cylinder is ground area × height.

the ground area is the area of a circle, which is pi×r².

so, we have

pi×r²×height = 115 cm³

3.14×r²×7.7 = 115 cm³

3.14×r² = 14.93506494...

r² = 4.756390107...

r = 2.18091497... cm

6 0
2 years ago
Can someone help me with this question please!!!!!
faltersainse [42]
From the equation, it looks like we can set up a triangle like this.  One side is x and the other is x + 20 because the northbound car traveled 20 miles farther.  The hypotenuse is 100 because they were 100 miles apart.

Next, we can use the Pythagorean Theorem to solve for x:

a² + b² = c²
x² + (x + 20)² = 100²

This simplifies to:

x² + x² + 40x + 400 = 10000
2x² + 40x = 9600
2x² + 40x - 9600 = 0

After that, we can divided each side by 2:

x² + 20x - 4800 = 0

Next, we have to factor:

(x - 60)(x + 80) = 0
x = 60, -80

Since we know that distance can't be negative, 60 is the valid answer in this case.

x = 60
x + 20 = 80

Using this information, we know that the westbound car traveled 60 miles and the northbound car traveled 80 miles.

6 0
2 years ago
Sixteen is divided by the sum of a number q and 1
atroni [7]

No context. If you want us to write an expression:

16 / (q+1)

4 0
2 years ago
HELP (SEE IMAGE) what triangle must be a right triangle and why???
pashok25 [27]
The answer would be D
8 0
3 years ago
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