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lianna [129]
3 years ago
11

1) Which of the following shows the correct steps to find the value of 27 1/3?

Mathematics
2 answers:
sesenic [268]3 years ago
4 0
First of all, we need to know: 3^3 = 3 x 3 x 3 = 9 x 3 = 27

So:

(27)^{\frac{1}{3}} = (3^3)^{\frac{1}{3}} = (3)^{3\times \frac{1}{3}} = 3^{1} = 3

So, your answer is D.
Dmitrij [34]3 years ago
3 0

Answer:

The answer is D

Step-by-step explanation:


You might be interested in
The seventh term of an arithmetic progression is equal to twice the fifth term. The sum
mario62 [17]

Answer:

a₁ = - 24

Step-by-step explanation:

The n th term of an AP is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₇ = 2a₅ , then

a₁ + 6d = 2(a₁ + 4d) = 2a₁ + 8d ( subtract 2a₁ + 8d from both sides )

- a₁ - 2d = 0 → (1)

The sum to n terms of an AP is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ]

Given S_{7} = 84 , then

\frac{7}{2} (2a₁ + 6d) = 84

3.5(2a₁ + 6d) = 84 ( divide both sides by 3.5 )

2a₁ + 6d = 24 → (2)

Thus we have 2 equations

- a₁ - 2d = 0 → (1)

2a₁ + 6d = 24 → (2)

Multiplying (1) by 3 and adding to (2) will eliminate d

- 3a₁ - 6d = 0 → (3)

Add (2) and (3) term by term to eliminate d

- a₁ = 24 ( multiply both sides by - 1 )

a₁ = - 24

6 0
3 years ago
The what value complete the square for the expression x squared plus 16x
Troyanec [42]
Take the coefficient of the x-term, half it, then square that. add this to both sides

x² + 16x. coefficient of x is 16. half of 16 is 8. 8²=64

x² + 16x + 64 =64. this is your answer but to continue

x² + 16x + 64 = 64
(x+8)² = 64
x+8 = ✓64
x+ 8 = ±8
x = 0 or -16
6 0
3 years ago
The value of a collectable car has been increasing by 4 percent each year. This year the car is valued at $15,200. Write a funct
zloy xaker [14]

Answer:

I think it would be

t(15,200)¹'⁰⁴

I used an apostrophe up there, but it's supposed to be a dot, so to the power of 1.04

5 0
2 years ago
Simplify.<br> 8√2 / 6-3√8
Sonbull [250]

 The rationalized expression in general term is given by: (-8 -4√2) / 3

<h3>What is rationalization?</h3>

  Rationalization is a mathematical operation that allows us to determine or eliminate a root of the denominator of a fraction, so that it can be expressed in linear form, either decimal or integer, by the product of a root.

  As defined above, we must perform a mathematical operation to eliminate the root of the denominator without altering the value.

(8√2 / 6-3√8 ) Multiply by  ( 6+3√8)/( 6+3√8)

(8√2 / 6-3√8 )( 6+3√8)/( 6+3√8)

8√2(6+3√8) / (6-3√8)²  Expand the denominator using the FOIL method.

8√2(6+3√8) / (36 - 18√8 + 18√8 - 72)

8√2(6+3√8) / -36

48√2 + 24√2√8 / -36  ::::.   √8 = 2√2

48√2 + 96 / -36

-12(4√2 + 8) / 12x3

(-8 -4√2) / 3 is the result.

Learn more about rationalization in:

brainly.com/question/14261303

#SPJ4

8 0
11 months ago
Jason ran 2 3/4 miles in 2/5 of an hour. How far can jason run in one hour
pogonyaev

Answer:

6 7/8 miles per hour

Step-by-step explanation:

2 3/4 ÷ 2/5

change mixed number into improper fraction; 2 3/4 = 11/4

when dividing fractions, multiply by the reciprocal of the second fraction

11/4 ÷ 2/5  =  11/4 · 5/2  =  55/8 or 6 7/8 mph

5 0
3 years ago
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