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1 year ago

Simplify the following expressions using the properties of exponents. Please show your work.

Mathematics

1 answer:

Rus_ich [418]1 year ago

8 0

Answer:

${a}^{0} = 1 \\ {a}^{1} \times {a}^{4} = {a}^{4 + 1} = {a}^{5} \\ {4}^{2} = 16\\ \\ = \frac{2}{4 \times {4}^{2} \times {a}^{5} } \\ = \frac{1}{32 {a}^{5} }$

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Plz help with math!!!

Orlov [11]

5y+2 i think because those are parallel lines:)

5 0

3 years ago

What are the first and last terms of this geometric series

11Alexandr11 [23.1K]

ANSWER

E. 10 and 640

EXPLANATION

The given series is

$\sum_{i=1}^45 \times 2^{2i-1}$

To find the first term of the series we substitute i=1 to get,

$a_1 = 5 \times {2}^{2 \times 1 - 1}$

$a_1 = 5 \times {2}^{ 1} = 10$

For the last term of the series, we substitute i=4 to obtain,

$a_4 = 5 \times {2}^{2 \times 4 - 1}$

$a_4 = 5 \times {2}^{7}$

This implies that,

$a_4 = 5 \times 128 = 640$

Therefore the correct answer is E

7 0

2 years ago

Obtuse is to more than 90° as reflex is to

Simora [160]

9514 1404 393

Answer:

>180° (more than 180°)

Step-by-step explanation:

Angles are classified as ...

acute: < 90°
right: = 90°
obtuse: > 90°
straight/linear: = 180°
reflex: > 180°

It seems that we're looking at definitions:

obtuse : >90° :: reflex : >180°

7 0

2 years ago

Find the third term and the common difference. 1, 4, 7, 10

dusya [7]

Each term is equal the preceding term plus 3. Therefore the next term is 13 and the difference is +3.

6 0

2 years ago

Graph x > 2

Andrews [41]

Answer:

Bottom left

Step-by-step explanation:

Because when you draw the graph you see that x is larger than 2 , and 2 is not including in the solution so, we just make a small lines (forget the y-axis).

I hope that it's a clear solution and explanation.

3 0

2 years ago