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3 years ago

If 2^n+2-2^n+1+2^n= C*2^n, find the value of C

Mathematics

1 answer:

maxonik [38]3 years ago

8 0

Answer:

c= 1

Step-by-step explanation:

To get rid of (c) on the right side, simply divide 2^n both side. But first collect like terms on the left side so you will get 2^n + 1 which you will then simplify the like term(2^n) and you will left with c= 1.

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When 1,250 Superscript three-fourths is written in simplest radical form, which value remains under the radical?

Dvinal [7]

The value remains under the radical is 8 ⇒ last answer

Step-by-step explanation:

Let us revise how to write the exponent as a radical

$a^{\frac{m}{n}}$ can be written as $\sqrt[n]{a^{m}}$
To simplify the radical factorize the base "a" to its prime factors

Example:

$(54)^{\frac{2}{3}}=\sqrt[3]{(54)^{2}}$ ,
Factorize 54 into prime factors ⇒ 54 = 2 × 3 × 3 × 3 = $2(3)^{3}$
$\sqrt[3]{(54)^{2}}=\sqrt[3]{[2(3^{3}]^{2}}=\sqrt[3]{2^{2}*3^{6}}$
2² can not go out the radical because 2 is less than 3 not divisible by 3
$3^{6}$ can go out the radical because 6 is divisible by 3, then divide 6 by 3, so it will be 3² out the radical
$\sqrt[3]{(54)^{2}}=3^{2}\sqrt[3]{2^{2}}=9\sqrt[3]{4}$

Now let us solve your problem

∵ $1250^{\frac{3}{4}}=\sqrt[4]{1250^{3}}$

- Factorize 1250 to its prime factors

∵ 1250 = 2 × 5 × 5 × 5 × 5

∴ $1250=2*5^{4}$

∴ $\sqrt[4]{(2*5^{4})^{3}}=\sqrt[4]{2^{3}*5^{12}}$

∵ 2³ can not go out the radical because 3 < 4 and not divisible by it

- $5^{12}$ can go out the radical because 12 can divided by 4

∵ 12 ÷ 4 = 3

∴ $5^{12}$ can go out the radical as 5³

∴ $\sqrt[4]{1250}=5^{3}\sqrt[4]{2^{3}}$

∴ $\sqrt[4]{1250}=125\sqrt[4]{8}$

∴ The value remains under the radical = 8

The value remains under the radical is 8

Learn more:

You can learn more about the radicals in brainly.com/question/7153188

#LearnwithBrainly

8 0

3 years ago

$350 at 3% for 10 years whats you account balance

Juliette [100K]

1030 .......................

4 0

3 years ago

Alona [7]

Similarities:
Have a consistent change for every interval can be represented as functions of a variable points lie on a line.

Differences: linear equations represent all solutions to all x values, whereas arithmetic sequences pick integer spacing

4 0

3 years ago

One bag of marbles contains 2 black , 3 red , and 5 white marbles . A second bag contains 3 white and 2 black marbles . What is

BaLLatris [955]

Answer:

NOT BOTH BLACK = 1-2/25 = 23/25

Step-by-step explanation:

Bag 1 : 8 non-black out of 10

P(1) = 8/10

Bag 2: 3 non-black out of 10

P(2)=3/5

Probability of both independent events happening can be calculated using the multiplication rule

P(1) and P(2) = P(1)*P(2) = 8/10 * 3/5 = 24/50 = 12/25 (both are not black, or none is black)

Interpretating not both black meaning at most one black, then

we calculate the probability of both are black,

P(1) = 2/10

P(2) = 2/5

Probability that both balls are black can be calculated using the multiplication rule

P(1) and P(2) = 2/10 * 2/5 = 2/25

Probability that NOT BOTH BLACK = 1-2/25 = 23/25, i.e. at most one black

5 0

3 years ago

Isabella has a 22 once cola. She drinks 17 ounces. Enter the percentage of once’s Isabella has left of her cola. Round your answ

Rashid [163]

Answer:

1.1%

Step-by-step explanation:

22- 17 = 5% of 22 = 1.1

5 0

3 years ago

Read 2 more answers