If a - 4b =18, what is the value of 3^a/81^b?

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kiruha [24]

Answer: (1) d, f (2) c, d, f (3) e, f (4) a, b, c, d, f (5) e, f

Step-by-step explanation:

a) Natural Numbers: 1, 2, 3, ...

b) Whole Numbers: 0, 1, 2, 3, ... (add zero to the Natural numbers)

c) Integers: ..., -3, -2, -1, 0, 1, 2, 3, ... (add negatives to the Whole numbers)

d) Rationals: Add terminating and repeating decimals to Integers.

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e) Irrationals: Non-repeating decimals that are non-terminating. This is its own category so cannot be a Rational number or above.

f) Real Numbers: ALL of the above (a - e) are Real numbers.

1) -5.2 has a terminating decimal so it is a RATIONAL number.

2) -4 is below zero so is an INTEGER which means it is also a RATIONAL #

3) -4.3212... is a non-terminating decimal so it is an IRRATIONAL number

4) $\sqrt4$ = 2 is a NATURAL number which means it is also a WHOLE number, INTEGER, and RATIONAL number.

5) $\sqrt7$ is a non-terminating decimal so it is an IRRATIONAL number

6 0

3 years ago

If angle LMPis 11 degrees more than angle NMP and angle NML is 137 find each measure.

OLEGan [10]

Answer:

angle NMP = 63°

angle LMP = 74°

Step-by-step explanation:

Let angle NMP be x° . It's given that angle LMP is 11° more than angle NMP. So, angle LMP = x° + 11°

But angle NML = 137°.

So,

angle NMP + angle LMP = 137°

=> x° + x° + 11° = 137°

=> 2x° + 11° = 137°

=> 2x° = 137° - 11°

= 126°

=> x° = 126/2 = 63°

angle NMP = 63°

angle LMP = 63 + 11 = 74°

7 0

3 years ago

Read 2 more answers

A circular swimming pool has a radius of 15 ft. There is a path all around that pool that is three feet wide.

Romashka-Z-Leto [24]

Answer:

Circumference(C) of the circle is given by:

$C = 2 \pi r$

where, r is the radius of the circle.

As per the statement:

A circular swimming pool has a radius of 15 ft.

⇒radius of the pool(r) = 15 ft

There is a path all around that pool that is three feet wide.

⇒radius of the outer edge of the path around the pool(r') = 15 +3 = 18 ft

Substitute these in the formula we have;

$C = 2 \pi r'$

⇒ $C = 2 \cdot 3.14 \cdot 18 = 113.04 ft$

Therefore, the circumference of the outer edge of the path around the pool is, 113.04 ft

6 0

3 years ago

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Tamika built a large play area in the shape of a rectangle. The length of one side was 8 meters, and the length of the other sid

ryzh [129]

The dimensions of the rectangle given are

length = 14 meters

Width = 8 meters

The perimeter of the rectangle is given by the sum of its sides

The rectangle has to opposite sides of 14 meters and two opposite sides of 8 meters

Hence adding up the 4 sides we get

$8+14+8+14 = 44$

Hence option B is the right answer

5 0

3 years ago

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What’s the best way to revise for maths? can never remember how to do anything.

Allisa [31]

Repetition is a guaranteed way to learn something. If it is a formula you need to learn, try doing flashcards and reading it over and over again until you can spell it without the flahcard. If it is something like factoring, just do a bunch of factoring problems until you get the feel of it.

8 0

3 years ago