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3 years ago

What is the next term in the sequence below? -324,108,-36,12,...

2 answers:

5 0

This is a geometric sequence with a common ratio of -1/3 and an initial term of -324. Any geometric sequence can be expressed as:
a(n)=ar^(n-1), in this case a=-324 and r=-1/3 so
a(n)=-324(-1/3)^(n-1) so the 5th term will be
a(5)=-324(-1/3)^4
a(5)=-324/81
a(5)= -4

vesna_86 [32]3 years ago

3 0

The next term is the sequence is -4

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4/9 × negative 3/8

enot [183]

4/9x - 3/8=

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3 years ago

Drag each figure to show if it is similar to the figure shown or why it is not similar

Margarita [4]

Answer:

Step-by-step explanation:

The given figure is a rectangle having length = 9 yd and width = 3 yd

Now we will check each figure

Figure one- rectangle with length = 18 yd and width = 9 yd

For similarity of both rectangles ratio of length should be equal to ratio of widths.

$\frac{3}{9}\neq\frac{9}{18}$

So rectangles are not similar.

Figure 2- rectangle with length = 3 yd and width = 6 yd

$\frac{9}{3}\neq \frac{3}{6}$

So figures are not similar.

Figure 3 - rectangle with length = 3 yd and width = 1 yd

$\frac{9}{3}=\frac{3}{1}$

Therefore, figures are similar.

Figure 4 -rectangle with length = 8 yd and width = 2 yd

$\frac{3}{2}\neq \frac{9}{8}$

So given rectangles are not similar.

Figure 5 - rectangle with length = 18 yd and width = 6 yd

$\frac{9}{18}=\frac{3}{6}$

So rectangles are similar.

Figure 6 - trapezoid with larger base = 18 yd and height = 6 yd

Since shapes of the given figures are not same so they are not similar.

8 0

3 years ago

In the summer, you charge people $10 for going to their house to mow lawns, then $6 for every hour you mow. If you make $34 one

bazaltina [42]

Answer: 4 hours

Step-by-step explanation:

10+6=16

16+6=22

22+6=28

28+6=34

6 0

3 years ago

Please solve with explanation

mars1129 [50]

9514 1404 393

Answer:

4 : 1

Step-by-step explanation:

Each segment joining midpoints is called a "midline." It is parallel to the segment not being joined, and is half its length. All the dimensions of the smaller triangle are half those of the larger triangle. (They are similar triangles.) The ratio of areas is the square of the ratio of side lengths:

2² : 1² = 4 : 1 . . . . . . ratio of triangle areas

6 0

2 years ago

Which expression is equivalent to this quotient?

Ne4ueva [31]

Answer: $B. \: \: \: \dfrac{5}{x+5}$

Step-by-step explanation:

$\dfrac{\dfrac{1}{x+5} }{\dfrac{x+3}{5x+15} } =\dfrac{1}{x+5} \times \dfrac{5x+15}{x+3}=\dfrac{1}{x+5} \times \dfrac{5(x+3)}{x+3}=\dfrac{1}{x+5} \times 5 = \dfrac{5}{x+5}$

5 0

2 years ago