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34kurt
2 years ago
15

how do I put -1.2 on a number line?how do I put -3.25 on a number line?how do I put 0.5 on a number line?

Mathematics
1 answer:
ArbitrLikvidat [17]2 years ago
8 0

Answer:

-3.25,-1.2 then after 0 you put 0.5

Step-by-step explanation:

   -3  -2.5  -1 -0.5 0 0.5 1  1.5 2  2.5      

___l__l__l__l__l__l__l__l__l__l_____________

  -3.25      -1.2          0.5

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the 11th term in a geometric sequence is 48 and the common ratio is 4. the 12th term is 192 and the 10th term is what?
Soloha48 [4]

<u>Given</u>:

The 11th term in a geometric sequence is 48.

The 12th term in the sequence is 192.

The common ratio is 4.

We need to determine the 10th term of the sequence.

<u>General term:</u>

The general term of the geometric sequence is given by

a_n=a(r)^{n-1}

where a is the first term and r is the common ratio.

The 11th term is given is

a_{11}=a(4)^{11-1}

48=a(4)^{10} ------- (1)

The 12th term is given by

192=a(4)^{11} ------- (2)

<u>Value of a:</u>

The value of a can be determined by solving any one of the two equations.

Hence, let us solve the equation (1) to determine the value of a.

Thus, we have;

48=a(1048576)

Dividing both sides by 1048576, we get;

\frac{3}{65536}=a

Thus, the value of a is \frac{3}{65536}

<u>Value of the 10th term:</u>

The 10th term of the sequence can be determined by substituting the values a and the common ratio r in the general term a_n=a(r)^{n-1}, we get;

a_{10}=\frac{3}{65536}(4)^{10-1}

a_{10}=\frac{3}{65536}(4)^{9}

a_{10}=\frac{3}{65536}(262144)

a_{10}=\frac{786432}{65536}

a_{10}=12

Thus, the 10th term of the sequence is 12.

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3 years ago
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6 0
3 years ago
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tiny-mole [99]

Answer:

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Step-by-step explanation:

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3 years ago
if PQ || RS and the slope of PQ= x-1/4 and the slope of RS is 3/8 then find the value of x justify algebraically and numerically
Artemon [7]

The value of x is 5/8.

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

Given,

  • The lines PQ and RS are parallel to each other.
  • slope of PQ= x-1/4
  • slope of RS = 3/8

The slopes of parallel lines are equal.

slope of PQ = slope of RS

⇒ x-1/4 = 3/8

⇒ (4x-1)/4 = 3/8

⇒ 8(4x-1) = 4(3)

⇒ 32x-8 = 12

⇒ 32x = 20

x = 20/32

x = 5/8

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3 years ago
Noah and his friend Tyree are involved in a math challenge. Noah solves 115 problems in 2 min. Tyree solves 172.5 problems in 3
Natasha2012 [34]

C) They solve the same number of problems per minute

172.5 Divided by 2

115 divided by 2

= 57.5

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3 years ago
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