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4 years ago

Is the sequence 0.5, 5, 50, 500, .... an arithmetic sequence? How do you know?

1 answer:

4 0

No
Arithmetic sequence has terms which decrease or increase by the same amount
for example 3,6,8,12 ....
this sequence is geometric where the terms are obtained by multiplying previous term by 10

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Which pairs of angles are congruent because they are vertical angles? Check all that apply. 4 lines intersect to form 14 angles.

Oliga [24]

Answer:

◽Angle 14 and Angle 12

◽Angle 10 and Angle 8

Step-by-step explanation:

Vertical angles are opposite to each other on a pair of intersecting lines.

◽Angle 1 and Angle 4

These angles are not on the same two intersecting lines.

◽Angle 14 and Angle 12

These angles are on the same two intersecting lines. They are also opposite to each other.

◽Angle 7 and Angle 8

These angles are on the same intersecting lines, but they are not opposite to each other.

◽Angle 10 and Angle 8

They are on the same pair on lines, and opposite to each other.

◽Angle 3 and Angle 5

They are not on the same pair of intersecting lines.

◽Angle 8 and Angle 12

These angles are not on the same pair on intersecting lines. (However, they are also equal because they are corresponding, on the insides of an "F" pattern).

3 0

3 years ago

Read 2 more answers

A car travels 55 miles per hour for 2 hours how far does the car travel in 1/2 of a hour 1 1/2 hour

Illusion [34]

Answer:

Suppose you travel a distance of 100 miles, and it takes 1 1/2 hours to do it. Your average speed is then 100 miles divided by 1.5 hours which equals 66.67 miles per hour.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Use the distance formula to find the distance between (4, 2) and (3,5). Use:

rewona [7]

Answer:

d = sqrt(x2-x1)^2 + (y2-y1)^2

d = sqrt(4-3)^2 + (-3)^2

d=sqrt(1+9)

d=sqrt10

d=3.2

Let me know if this helps!

6 0

3 years ago

Read 2 more answers

Convert the rational expression to a radical...don't mind the answers I put I just need someone to show me how they do it step b

bazaltina [42]

$\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\
-----------------------------\\\\
thus\implies x^{\frac{2}{5}}\implies \sqrt[5]{x^2}
\\\\\\
and\implies (4ab)^{\frac{3}{5}}\implies \sqrt[5]{(4ab)^3}\implies \sqrt[5]{4^3a^3b^3}
\\\\
-----------------------------\\\\

now\\\\ 4\to 2^2\qquad and\qquad 4^3\to (2^2)^3\to 2^{2\cdot 3}\to 2^6\to 2^{5+1}\to 2^52^1\\\\
-----------------------------\\\\

$

$\bf \sqrt[5]{4^3a^3b^3}\implies \sqrt[5]{2^52^1a^3b^3}\implies 2\sqrt[5]{2a^3b^3}$

8 0

4 years ago

Liam opened a savings account and deposited $ 6000 $6000dollar sign, 6000. The account earns 5 % 5%5, percent in interest annual

Paul [167]

Answer:

9 years 7 months

Step-by-step explanation:

I believe we're to find how long it took.

The interest on the money is $8865 - $6000 = $2865

Interest = P x t x r

P is the principal money $6000

t is time in years

r is the rate 5% = 0.05

Equating, we have

2865 = 6000 x t x 0.05

2865 = 300t

t = 2865/300 = 9.55 yrs

Approximately 9 years 7 months

5 0

3 years ago