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3 years ago

Describe how (2 cubed) (2 superscript negative 4) can be simplified.

Mathematics

1 answer:

irina [24]3 years ago

7 0

Answer:

1/2

Step-by-step explanation:

Given:

(2 cubed) (2 superscript negative 4)

= (2³)(2^-4)

= (2³) (1 / 2⁴)

= (2³ * 1) / 2⁴

= 2³ / 2⁴

Both numerator and denominator has the same base. Thus, pick one of the bases

Also, in indices, division sign can be translated to subtraction

Therefore,

2³ / 2⁴

= 2^3-4

= 2^-1

= 1/2¹

= 1/2

(2³)(2^-4) = 1/2

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There are 4 students and 1/2 sh butcher paper how much paper will each student get

inna [77]

Answer:

Step-by-step explanation:

what is sh? sheets? if so try dividing 4 by 1/2

4 0

3 years ago

Hi , step by step please

Zigmanuir [339]

Answer:

Eldest: $335,500 Middle: $182,750 Youngest: $167,750

Step-by-step explanation:

Let's represent the amount of money the youngest sibling received as x.

The amount the eldest received can be represented as: 2x

The amount the middle sibling received can be represented as: x + 15,000

If we combined the amount of money that all of the siblings received, it would be $686,000. We can write this as an equation:

686,000 = 2x + (x + 15,000) + x

Now let's solve for x. First, combine like terms

686,000 = 4x + 15,000

Subtract 15000 from both sides to isolate the 4x

671,000 = 4x

Divide both sides by 4 to isolate the x

167,750 = x

Now we know that the amount of money the youngest received is $167,750. We can use this amount to figure out how much the other two siblings received.

Eldest: 2 * 167,750 = $335,500

Middle: 167,750 + 15,000 = $182,750

We can check to make sure these answers are correct by adding them all together to make sure that they equal 686,000

167,750 + 335,500 + 182,750 = 686,000

7 0

3 years ago

The formula for the standard deviation of a sample is:

timofeeve [1]

Answer:

d. The variance is 9.56 and the standard deviation is 3.09.

Step-by-step explanation:

From the above question, we are given the following data set.

3, 7, 8, 8, 8, 9, 10, 10, 13, 14

a) Mean = 3 + 7 + 8 + 8 + 8 + 9 + 10 + 10 + 13 + 14/ 10

= 90/10

= 9

b) Variance

The formula for sample Variance = (Mean - x)²/ n - 1

Mean = 9

n = 10

Sample Variance =

(3 - 9)² + (7 - 9)² + (8 - 9)² + (8 - 9)² + (8 - 9)² + (9 - 9)² + (10 - 9)² + (10 - 9)² + (13 - 9)² + (14 - 9)² / 10 - 1

= 36 + 4 + 1 + 1 + 1 + 0 + 1 + 1 + 16 + 25/9

= 86/9

= 9.555555556

≈ Approximately 9.56

Variance = 9.56

Sample Standard deviation = √Sample Variance

= √9.56

= 3.0919249667

≈ Approximately 3.09

5 0

3 years ago

NEED HELP ASAP GIVING BRANILEST

finlep [7]

Answer:

50?

Step-by-step explanation:

I said 50 because there were 60 na butterflies so there was probably 50.

I am sorry if this wrong tho

7 0

3 years ago

Read 2 more answers

2 different companies offer online subscriptions. Company A charges $75 upfront and $20 per month. Company B does not charge the

ki77a [65]

Answer:

$15$ months

Step-by-step explanation:

Given that company $A$ charges $\$75$ upfront and $\$20$ per month and company B does not charge the upfront fee but charges $\$35$ per month.

Let after $n$ months both the company charges the same amount.

Total charges by the company $A=\$ (75+n\times 20)$ and total charges by the company $B=\$ (n\times 35)$ .

Now, from the given condition both the charges are equal, so

$75+n\times 20=n\times 35 \\\Rightarrow 75= 35 n - 20 n\\\Rightarrow 75= 15 n \\\Rightarrow n= \frac {75}{5} \\\Rightarrow n= 15$

Hence, after $15$ months both the company charges the same amount.

4 0

3 years ago