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larisa86 [58]
2 years ago
12

Consider the first four terms of the sequence below. -3, -12, -48, -192, . . . what is the 8th term of this sequence?

Mathematics
1 answer:
Serga [27]2 years ago
3 0

Answer: -49152

Step-by-step explanation: the pattern here is that each term is subtracting 3 times its absolute value. Going from -3 to -12 there is a difference of 9 which is 3 times to absolute value of -3. So, the sequence will continue like this : -192, - 768, -3072, - 12288, -49152.

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Solve |2x - 5| = 4. {x | x = -4.5 or x = 4.5} {x | x = 0.5 or x = 4.5} {x | 0.5 < x < 4.5}
kotykmax [81]

<u><em>Answer:</em></u>

{x | x = 0.5 or x = 4.5}

<u><em>Explanation:</em></u>

<u>Before we begin, remember that:</u>

The modulus gives the positive value of what's inside it.

<u>This means that:</u>

|a| = |-a| = a

<u>Now, for the given, we have:</u>

|2x-5| = 4

<u>From the above rule, we can deduce that:</u>

<u>either:</u>

2x - 5 = 4

2x = 4 + 5 = 9

x = 4.5 ............> first solution

<u>Or:</u>

2x - 5 = -4

2x = 5-4 = 1

x = 0.5 ..........> second solution

<u>Now, we check:</u>

<u>at x = 4.5</u>: |2(4.5)-5| = |9-5| = |4| = 4 ..........> first solution verified

<u>at x = 0.5</u>: |2(0.5)-5| = |1-5| = |-4| = 4 .........> second solution verified

Hope this helps :)


6 0
3 years ago
A baseball player reaches first base 30% of the times he is at bat. Out of 60 times at bat,
Irina-Kira [14]
30% of 60 is (60*30/100)=18
7 0
3 years ago
A student studying his classmates' cars' ages reports the 5-number summary as {1, 3, 4, 8, 20}. what is the iqr for his data?
timurjin [86]

IQR for the data {1, 3, 4, 8, 20} is 5.

Interquartile Range(IQR) for a data is defined as the difference between third quartile and first quartile.

denoted by  IQR=Q₃-Q₁              (Q₃ is third quartile and Q₁ is first quartile)

The five number summary of a data set is represented as

{minimum, first quartile , second quartile , third quartile , maximum}..…(1)

According to the question

{1, 3, 4, 8, 20}

On comparing it with equation   …(1)

minimum=1

Q₁ =3    , Q₂=4 , Q₃=8 , maximum =20

IQR=Q₃-Q₁

Substituting the values we get

IQR=8-3=5.

Therefore , Interquartile Range for the data {1, 3, 4, 8, 20} is 5.

Learn more about Inter Quartile Range here brainly.com/question/28037049

#SPJ4

3 0
1 year ago
HELP WITH QUESTION 4 PLZ ASAP <br><br>thx for the help!!
julsineya [31]
I cant see it or else i would help sorry..
7 0
3 years ago
1<br> What is the equation of the line parallel to 8x - 16y= -14 and passing through (3, 0)?
andreev551 [17]

Answer:

8x -16y = 24

Step-by-step explanation:

8x - 16y= -14

A parallel line (i.e. same slope) will be: 8x - 16y= c

We have to find the value of "c".

If it passes through (x, y) = (3, 0) ⇒ 24 - 0 =  c,

so equation is 8x -16y = 24

7 0
3 years ago
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