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3 years ago

2^-3/2^-5 A)2^2 B)1/2^2 C)2^8 D)1/2^8

1 answer:

4 0

Here is your answer

A) $\huge{2}^{2}$

REASON :

CONCEPT USED: $\frac{{a}^{m}}{{a}^{n}}$

= ${a}^{m-n}$

So,

$\frac{{2}^{-3}}{{2}^{-5}}$

= ${2}^{-3-(-5)}$

= ${2}^{-3+5}$

= ${2}^{2}$

HOPE IT IS USEFUL

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What is the value of f(3)?

Anni [7]

Answer:

-12

Step-by-step explanation:

Note that when x < 6, you will use the expression -4x

f(x) = -4x

Plug in 3 for x

f(3) = -4(3)

Simplify. Multiply

f(3) = -4(3)

f(3) = -12

-12 is your answer

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3 years ago

An office building casts a 90 foot shadow. At the same time of day, a 5 foot woman standing near the building casts an 8 foot sh

Elenna [48]

Make a ratio:

Make sure shadow is in same location on both fractions (either numerator or denominator) 

x/90=5/8

Cross multiply:

8x=90x5
8x=450

x=56.25 feet 

Therefore, the approximate height of the building to the nearest foot would be 56.25 feet.

That makes sense, too, because the woman's shadow is taller than she is, but is less than double her height. The building shadow is taller than the building, but it's less than double the height of the building.

I hope my answer has come to your help. Thank you for posting your question here in Brainly.

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3 years ago

Read 2 more answers

Please help me with theses 4 questions

MA_775_DIABLO [31]

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3 years ago

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3 years ago

The third term of an arithmetic sequence is 14 and the 9th term is -1. Find the first four terms of the sequence.

Liula [17]

Answer:

The first four terms of the sequence are : 19, 16.5 , 14 , 11.5

Step-by-step explanation:

In the given sequence:

a(3) = 14, a(9) = -1

The general term of a sequence in Arithmetic Progression is:

a(n) = a + (n-1)d

a(3) = a + (3 -1) d = a + 2 d

and a(9) = a + (9- 1 ) d = a + 8 d

⇒ a + 2 d = 14 ......... (1)

and a + 8 d = -1 ........... (2)

Now, solving the given system of equation, we get:

From (1), a = 14 - 2 d

Put in (2), we get:

a + 8 d = -1 ⇒ 14 - 2 d + 8d = -1

⇒ 14 + 6d = -1

or, 6d = -1 -14 = -15

⇒ d = -15/6 = -2.5

or, d = -2.5

Then a = 14 - 2 d = 14 - 2(-2.5) =14 + 5 = 19, or a = 19

Now, first four terms of the sequence is:

a = 19

a(2) = a + 4 = 19 - 2.5 = 16.5

a(3) = a + 2d = 19 + 2(-2.5) = 19 - 5 = 14

a(4) = a + 3d = 19 + 3(-2.5) = 19 - 7.5 = 11.5

Hence, the first four terms of the sequence are : 19, 16.5 , 14 , 11.5

4 0

3 years ago