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Valentin [98]
3 years ago
15

What is the 7th term of the geometric sequence where a1 = -4,096 and a4 = 64?

Mathematics
2 answers:
tatyana61 [14]3 years ago
8 0
First, we calculate the common ratio.
an = arⁿ⁻¹
64 = -4096r³
r = -1/4
a(7) = -4096r⁷⁻¹
a(7) = -1
yulyashka [42]3 years ago
5 0

Answer:

answer is -1

Step-by-step explanation:

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Help
Rudiy27

Answer:

520

Step-by-step explanation:

must be the answer..

7 0
3 years ago
Read 2 more answers
The sum of a two digit number and the number obtained by interchanging the digits is 132. If the two digits differ by 2, find th
damaskus [11]

Answer:

A two-digit number can be written as:

a*10 + b*1

Where a and b are single-digit numbers, and a ≠ 0.

We know that:

"The sum of a two-digit number and the number obtained by interchanging the digits is 132."

then:

a*10 + b*1 + (b*10 + a*1) = 132

And we also know that the digits differ by 2.

then:

a = b + 2

or

a =  b - 2

So let's solve this:

We start with the equation:

a*10 + b*1 + (b*10 + a*1) = 132

(a*10 + a) + (b*10 + b) = 132

a*11 + b*11 = 132

(a + b)*11 = 132

(a + b) = 132/11 = 12

Then:

a + b = 12

And remember that:

a = b + 2

or

a = b - 2

Then if we select the first one, we get:

a + b = 12

(b + 2) + b = 12

2*b + 2 = 12

2*b = 12 -2 = 10

b = 10/2 = 5

b = 5

then a = b + 2= 5 + 2 = 7

The number is 75.

And if we selected:

a = b - 2, we would get the number 57.

Both are valid solutions because we are changing the order of the digits, so is the same:

75 + 57

than

57 + 75.

6 0
3 years ago
The running trail in the local park is 2.826 miles long. If the park board were planning to extend the trail by 1.46 miles, what
eimsori [14]
Extend means to increase, add length to it, ADD.
       2.826
+    1.46
--------------
       4.286

5 0
3 years ago
Steps for graphing -x^2-4x-3
sdas [7]

Answer:

:)

Step-by-step explanation:

There are several ways to do this. The first, which I personally think is the quickest way without having to do too much math or rearranging the equation is to simply pick random points for x and solve for y.

For instance, you might try -2 for x.

- ( - 2)^2 - 4 ( - 2) - 3

= - 4 + 8 - 3

= 1

So one of your points would be (-2, 1)

Then you might choose, say, -3 for x. And after that, -1 for x. If you want to graph even more points after those (the more points, the more accurate your graph), choose -4 and 0 for x. Simply put it into the equation and find y. Then graph.

3 0
3 years ago
If m A= m B and m A+mC = D, then
rusak2 [61]

Answer: Substitution

Step-by-step explanation:

Because you know A is equal to B, you can substitute A for B in any mathematical equation. Essentially, you are switching mA $ mB.

3 0
3 years ago
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