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ElenaW [278]
3 years ago
5

Determine whether the following sequence is geometric. 2,6,18,54

Mathematics
1 answer:
jonny [76]3 years ago
8 0

Answer: Yes, this is a geometric sequence.

Step-by-step explanation:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by  3  gives the next term.

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Pelomyxa palustris is an amoeba with a length of 4.9 mm.Amoeba proteus has a length of 0.7 mm.How many amoeba proteus would you
prohojiy [21]

Answer:

  21

Step-by-step explanation:

Let n represent the number we're looking for. Then ...

  n × (proteus length) = 3 × (palustris length)

  n × 0.7 mm = 3 × 4.9 mm

  n = (3 × 4.9 mm)/(0.7 mm) = 3 × 49/7 = 3 × 7

  n = 21

You would have to line up 21 amoeba proteus to equal the length of three pelomyxa palustris.

3 0
3 years ago
How the heck do I do this? And what’s the answer?
stira [4]

Answer:

Option A

Step-by-step explanation:

We need to find two expressions that, when simplified, give the same results.

1) First, simplify the expression stated in the question. Multiply each of the terms in the parentheses by the number that is next to them. This would mean you have to multiply both 9x and -6 by \frac{2}{3}. You also have to multiply \frac{1}{2}x and -\frac{1}{2} by 4. Then, simplify.

\frac{2}{3}(9x-6) + 4 (\frac{1}{2} x - \frac{1}{2})\\\frac{18}{3}x- \frac{12}{3} + \frac{4}{2}x -\frac{4}{2} \\6x - 4 + 2x - 2

2) Now, combine the like terms.

6x - 4 + 2x - 2

8x - 6

So, we need to find which of the expressions listed equal 8x - 6.

3) Let's try option A. Do the same as before. Multiply each of the terms in the parentheses by the number that is next to them. So, multiply 4x and -12 by \frac{3}{4}. Also, multiply 30x and 18 by \frac{1}{6}. Then, combine like terms and simplify.

\frac{3}{4} (4x-12) + \frac{1}{6}(30x + 18)\\\frac{12}{4}x-\frac{36}{4} + \frac{30}{6} x + \frac{18}{6}   \\3x - 9 + 5x + 3 \\8x - 6

This also equals 8x - 6. Therefore, option A is the answer.

5 0
2 years ago
A jar contains n nickels and d dimes there are 30 coins in the jar and the total value of the coins is $2.10 Set up and solve a
Gekata [30.6K]

Answer:

12 dimes and 18 nickels

Step-by-step explanation:

Equations given by word problem:

n + d = 30

0.05n + 0.1d= 2.10

How I solved them:

d= 30 - n

0.05n + 0.1(30 - n)= 2.10

0.05n + 3 - 0.1n= 2.10

-0.05n= -.09

Divide both sides by -0.05

n= 18

18 + d = 30

d= 12

8 0
3 years ago
Read 2 more answers
The inequality 2x+1&gt;15 will be true when<br> 1. x=7<br> 2. x=0<br> 3. x=10<br> 4. x=5
pogonyaev

Answer:

3.) x = 10

Step-by-step explanation:

Let’s plug it into our equation

2(10) + 1 = 21

21 is greater than 15

3 0
2 years ago
Sheila is going to divide a 38-inch piece of ribbon into 5 equal pieces. She says each piece
DENIUS [597]

Sheila is incorrect! I think what she did is think the 38 was actually a 35, which WOULD of made her statement true, but since it's 38, she's very incorrect. Sheila should be using the quotient for the size of each piece. 38 divided by 5 is 7.6. The correct answer is 7.6 inches.

5 0
3 years ago
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