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soldier1979 [14.2K]
1 year ago
8

Evaluate, leave ur answer in index form. 2³ × 2^-1​

Mathematics
1 answer:
vitfil [10]1 year ago
3 0

Multiply = add powers

3 + - 1 = 2

- - means +

+ + means +

- + means -

Thus, answer is 2^2

Hope this helps!

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Find P 20 of the following arithmetic sequence: 206, 212, 218, 224....
Yanka [14]

Answer:

p_{20} = 1.25528

P₀ = 206 and difference d = 6

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the arithmetic sequence

                 206,212,218,224,.....

P₀ = 206 and difference d = 212-206 = 6

The n^{th} term of the sequence

   t_{n} = ar^{n-1}

<u><em>Step(ii):-</em></u>

The n^{th} term of the sequence

   P_{n} = ar^{n-1}

Put n=20

P_{20} = 206 ( 6) ^{20-1}

p_{20} = 1.25528

7 0
2 years ago
a circle has a circumstance of 20. it has an arc on length 4. what is the central angle of the arc in degrees?
erastovalidia [21]

Answer:

∠72°.

Step-by-step explanation:

If a circle has a circumference of 20 and an arc with a length of 4, we can simply set up a ratio to determine the angle of the arc in degrees:

\frac{4}{20} = \frac{x}{360}

Cross multiply:

1440 = 20x\\

Divide both sides by '20':

x = 72°.

Therefore, the measure of the central angle of the arc is ∠72°.

4 0
2 years ago
How to write this in slope-intercept form? 8x + 10y = 40
worty [1.4K]

Answer:y=-4/5x+4

Step-by-step explanation:

4 0
3 years ago
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A 25 ft. ladder resting against the side of a building forms a right triangle with the ground. The bottom of the ladder is 7 ft.
ruslelena [56]

Answer:

The correct answer is 24

Step-by-step explanation:

to solve this you will need to use the pathagreom theorum

a^{2}+b^{2}=c^{2}

A= one side lenth

B= the secons side lenth

C= hypotnuse

It is helpfull to draw out the situation

you know that the latter is 25 ft, that is your hypotnuse

you also know that the 7 ft away from the base of the building is one of the side lenths, lets call it side a

so plug the numbers into the equation

7^2 + b^2 = 25 ^2

you leave b^2 alone because that is the side you are trying to find

now square 7 and 25 but leave b^2 alone

49 + b^2 = 625

now subtract 49 from both sides

b^2 = 576

now to get rid of the square of b you have to do the opposite and square root both sides removing the square of the B and giving you the answer of..........

B= 24

Hope this helped!! I tryed to explain it as simpil as possiable

6 0
2 years ago
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Is 5feet greater less or equal to 60 inches
tatyana61 [14]
5 feet is equal to 60 inches
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