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Mkey [24]
3 years ago
15

7D%20" id="TexFormula1" title=" {3}^{x + 2} - {3}^{x} = \frac{8}{9} " alt=" {3}^{x + 2} - {3}^{x} = \frac{8}{9} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
ser-zykov [4K]3 years ago
6 0

3^{x + 2} - 3^{x} = 3^{x}* 3^{2} - 3^{x} = 9(3^{x}) - 1(3^{x}) = 8(3^{x})

3^{x + 2} - 3^{x} = \frac{8}{9}

⇒ 8(3^{x}) = \frac{8}{9}

⇒ 3^{x} = \frac{1}{9}   <em>multiplied both sides by 8</em>

⇒3^{x} = \frac{1}{3^{2} }

⇒ 3^{x} = 3⁻²

⇒ x = -2

Answer: x = -2

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How many times greater is the value of the 2 in 204,936 than the value of the 2 in 124,936
Sliva [168]
I believe it would be C.10
5 0
3 years ago
Read 2 more answers
3 times 2 cubed + 5 squared-18 divided by 6
Strike441 [17]

Answer:

46

Step-by-step explanation:

3 x 2^3 + 5^2 - 18/6

= 3 x 8 + 25 - 3

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= 49 - 3

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7 0
2 years ago
Magnetism: So I need help on this question but please explain how you got the answer so I can learn and better provide evidence
kramer

Step-by-step explanation:

A) as you can see there is no current flowing in a bar magnet so (incorrect)

B) Lines of magnetic field is going in A-->B direction so it have starting and ending points.(incorrect)

C) Yes whenever a magnetic object is placed near the another magnetic object they either attract or repell so they have a force in a form of push and pull [correct]

D)No because magnetic field lines goes from North--> South so A is the South pole [ incorrect]

E) Yes it will point always towards North pole of the magnet [correct]

F) yes it depends upon the density of field lines[correct]

G)No the near the magnet is it becomes more stronger as compared to magnet kept far.(incorrect)

So option C E F are correct

Hope this helps

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7 0
2 years ago
Is the square root of -11.2 a rational number?
Schach [20]
No, it is an imaginary number.
Can't take the square root of a negative number without creating a method termed an imaginary number, which is the square root of -1 which they have used " i " to signify.
Then square root of -11.2 would be written Sqrt(11.2)i.  The Sqrt(11.2) = 3.3466
so the answer is 3.3466i

 
5 0
3 years ago
Hannah claims that people who live in southern states spend 9 hours more per week outside than do people in northern states. She
Aneli [31]

Answer: Hello your question is incomplete below is the missing part

Which of the following statements about Hannah’s claim is supported by the interval?

A) Hannah is likely to be incorrect because the difference in the sample means was 18.6−14.4=4.218.6−14.4=4.2 hours.

B) Hannah is likely to be incorrect because 9 is not contained in the interval.

 C)The probability that Hannah is correct is 0.99 because 9 is not contained in the interval.

 D)The probability that Hannah is correct is 0.01 because 9 is not contained in the interval.

 E)Hannah is likely to be correct because the difference in the sample means (18.6−14.4=4.2)(18.6−14.4=4.2) is contained in the interval.

Answer :  Hannah is likely to be incorrect because 9 is not contained in the interval. ( B )

Step-by-step explanation:

The statement that is supported by the interval in Hannah's claim is that

Hannah is likely to be incorrect because 9 is not contained in the interval.

5 0
3 years ago
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