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3 years ago

Simplify: −z^3+5k^6−(−z^3+10k^6)

Mathematics

1 answer:

Georgia [21]3 years ago

6 0

-z³ + 5k^6 + z³ -10k^6

(-z³ cancels out with z³)

5k^6 -10k^6

(then subtract)

Answer is -5k^6

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liam has 8 3/4 gallons of paint. he wants to use 2/5 of paint to paint his livingroom. how many gallons of paint will liam use?

slava [35]

<u>Answer:</u>

Liam will use 3.5 gallons of paint to paint his living room

<u>Solution:</u>

Given that Liam has $8 \frac{3}{4}$ gallons of paint.

He uses $\frac{2}{5}$ of paint to paint his living room

We need to find how many gallons of paint will Liam use

The gallons of paint Liam used can be found as follows:

Amount of paint Liam has = $8 \frac{3}{4}$ gallons

Converting mixed fraction $8 \frac{3}{4}$ to decimal we get 8.75

Amount of paint used = 2/5th of available amount

$= \frac{2}{5} \times 8.75=3.5 \text { or } 3 \frac{1}{2} \text { gallons }$

Hence Liam will use 3.5 gallons of paint to paint his living room

3 0

3 years ago

16 The perimeter of the pentagon is equal to the perimeter of the square.

STatiana [176]

7x+2

Step-by-step explanation:

add all the sides of the pentagon and make it equal to the perimeter of the square which is 4y

sides of the pentagon are

5x+3

2x+3

7x+4

9x-10

5x+8

28x+8=4y

7x+2 = y

7x+2 = answer

gathmath

gathmathier6961

another way :

in a standardized test you may want to use real numbers

make x equal a prime number like 3

so then the sides are

then divide by 4

then divide by 3

which is 7 remainder of 2

which is

7x+2

8 0

2 years ago

the performance score of 10 adults is recorded, and the results are 83 87 90 92 93 100 104 111 115 121 find the standard deviati

luda_lava [24]

Answer:

The standard deviation of the data set is $\sigma = 12.7906$ .

Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)

To find the standard deviation of the following data set

$\begin{array}{cccccccc}83&87&90&92&93&100&104&111\\115&121&&&&&&\end{array}$

we use the following formula

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }$

Step 1: Find the mean $\left( \overline{X} \right)$ .

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}$

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}=\frac{83+87+90+92+93+100+104+111+115+121}{10} \\\\Mean = \frac{996}{10} =\frac{498}{5}=99.6$

Step 2: Create the below table.

Step 3: Find the sum of numbers in the last column to get.

$\sum{\left(x_i - \overline{X}\right)^2} = 1472.4$

Step 4: Calculate σ using the above formula.

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} } = \sqrt{ \frac{ 1472.4 }{ 10 - 1} } \approx 12.7906$

3 0

3 years ago

Tyron has 27 playlists on his iPod. Each playlist contains 35 songs. How many songs does Tyron have on all of his playlists?

xeze [42]

Answer:

945 songs

Step-by-step explanation:

27*35=945

4 0

3 years ago

Under the Declaration of Independence ordinary citizens have the right to do what and why?

Westkost [7]

Answer:

yes, ordinary netizens have a right to do what they want or what opinion they want to say. Declaration of Indepence is not just for powerful people but also for ordinary netizens in order for them to spek the truth

8 0

3 years ago