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3 years ago

15

What is the next term in this geometric sequence? 104, -52, 26, -13, ...

1 answer:

GuDViN [60]3 years ago

7 0

Answer:

6.5

Step-by-step explanation:

Each term in this sequence is the previous term divided by -2:

104/-2=-52

-52/-2=26

26/-2=-13

So in order to find the next term, we just need to divide the last term by -2:

-13/-2 = 6.5

The next term in the sequence is 6.5

Hope this helped!

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Jesse added two more numbers to his expression, but the sum did not change. What could the two new numbers be? Explain why the n

kenny6666 [7]

Answer:

0 and 0

Step-by-step explanation:

The only number that can be applied to the expression without changing the sum is 0, for example 5 + 10 = 15, adding 2 0's will be 0 + 5 + 10 + 0 = 15 :D

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3 years ago

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Sydney is playing a game on a map with a marked grid. To start, she places a game piece at (1, 4). She moves 3 units east and 2

Anastasy [175]

Answer:

(7, 8)

Step-by-step explanation:

If Sidney places each piece 3 units east and 2 units north of the last one, we can figure out which coordinate comes first by subtracting the position of the second piece (S) by the position of the first piece (F):

$S - F = (4,6) - (1,4) = (3,2)$

We can conclude that coordinates are in the (East, North) format.

Therefore, the location of the third piece (T) is:

$T = S(E,N) +(3,2)= (4,6)+(3,2)\\T = (7,8)$

6 0

3 years ago

Which equations are correct? Select each correct answer. −5a4(2a2+4)=−10a6−20a4 −4x2(2x2+5)=−8x4−20x2 −6y4(4y2+2)=−24y8−12y4 −4b

slamgirl [31]

1. Consider the expression $-5a^4(2a^2+4)=-10a^6-20a^4.$

Start with left side and use dustributive property :

$-5a^4(2a^2+4)=-5a^4\cdot 2a^2-5a^4\cdot 4=-10a^6-20a^4.$

This option is true.

2. Consider the expression $-4x^2(2x^2+5)=-8x^4-20x^2.$

Start with left side and use dustributive property :

$-4x^2(2x^2+5)=-4x^2\cdot 2x^2-4x^2\cdot 5=-8x^4-20x^2.$

This option is true.

3. Consider the expression $-6y^4(4y^2+2)=-24y^8-12y^4.$

Start with left side and use dustributive property :

$-6y^4(4y^2+2)=-6y^4\cdot 4y^2-6y^4\cdot 2=-24y^6-12y^4\neq -24y^8-12y^4.$

This option is false.

4. Consider the expression $-4b^3(5b^2+3)=-20b^6-12b^3.$

Start with left side and use dustributive property :

$-4b^3(5b^2+3)=-4b^3\cdot 5b^2-4b^3\cdot 3=-20b^5-12b^3\neq -20b^6-12b^3.$

This option is false.

Answer: A, B - true, C, D - false.

5 0

4 years ago

Read 2 more answers

I need help trying to figure this out I think I have and answer but I want to make sure.

yKpoI14uk [10]

Answer:

34

Step-by-step explanation:

The mean is calculated as

mean = $\frac{frequency(midpoint)}{frequency}$

let x be the missing frequency, then

Total frequency × midpoint

= (16 × 2) + 7x + (20 × 12) + (10 × 17) = 32 + 7x + 240 + 170 = 442 + 7x

Total frequency = 16 + x + 20 + 10 = 46 + x, thus

$\frac{242+7x}{46+x}$ = 8.5 ( cross- multiply )

442 + 7x = 8.5(46 + x)

442 + 7x = 391 + 8.5x ( subtract 8.5x from both sides )

442 - 1.5x = 391 ( subtract 442 from both sides )

- 1.5x = - 51 ( divide both sides by - 1.5 )

x = 34

The missing frequency is 34

3 0

3 years ago

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Arada [10]

Answer: the answer is 8960

Step-by-step explanation:

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3 years ago