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4 years ago

Simplify (-3c3w5)3 if you could help me, i would appreciate it a lot

Mathematics

1 answer:

Blababa [14]4 years ago

3 0

Answer: The answer is D sowwy if im wrong

Step-by-step explanation:

$(-3c^{3} w^{5} )^{3}$

We multiply the outside exponent 3 to every variable in the parenthesis. We multiply -3, 3 times to 3c because the exponent of -3 is going in -3 -3 -3 times which is -27 this is because -3 is a whole number

3 times -3 ^-3 ^-3 = -27

3 times 3 = 9

5 times 3 = 15

-9c^9w^15

$-27c^{9} w^{15}$

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A bag contains the following marbles: 12 black marbles, 8 blue marbles, 16 brown marbles, and 14 green marbles. What is the rati

Amanda [17]

3:2
Usually 12:8 but reduce

6 0

3 years ago

Samuel can type nearly 40 words per minute use information to find the number of hours it would take him to type 2.6 words times

AveGali [126]

<span>Samuel can type 40 words per minute.
Then how many hours will it take for him to type 2.6 words times 10 to the power of five words
=> 2.6 words time 10 to the power of 5
=> 2.6 x 10^5
=> 2.6 x 100 000
=> 260 000 words in all.
Now, we need to find the number of words Samuel can type in a hour
=> 40 words / minutes , in 1 hour there are 60 minutes
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3 0

3 years ago

Please Help me plz! Thanks

Contact [7]

Option D:

The equation of a line in point-slope form is y = 3x – 7.

Solution:

Take any two points on the line given in the graph.

Let the points be (–4, 4) and (2, 2).

$x_1=-4, y_1=4, x_2=2, y_2=2$

Slope of the given line:

$m_1=\frac{y_2-y_1}{x_2-x_1}$

$m_1=\frac{2-4}{2-(-4)}$

$m_1=\frac{-2}{6}$

$m_1=\frac{-1}{3}$

<em>If two lines are perpendicular, then the product of their slopes are –1.</em>

$\Rightarrow m_1\times m_2=-1$

$\Rightarrow \frac{-1}{3} \times m_2=-1$

Multiply by 3 on both sides of the equation.

$\Rightarrow- m_2=-3$

Multiply by –1 on both sides of the equation.

⇒ $m_2=3$

Perpendicular line passes through the point (2, –1).

Here, $x_1=2, y_1=-1$ .

Using point-slope form:

$y-y_1=m(x-x_1)$

$y-(-1)=3(x-2)$

$y+1=3x-6$

Subtract 1 on both sides of the equation.

$y=3x-7$

The equation of a line in point-slope form is y = 3x – 7.

Therefore option D is the correct answer.

5 0

3 years ago

A seed Company planted a floral mosaic of a national flag. The perimeter of the flags 540 feet. Determine the flags length and w

stiv31 [10]

Answer:

Length of the flag is 190 feet and width of the flag is 80 feet.

Step-by-step explanation:

Given:

Perimeter of the flag = 540 feet

We need to find the length and width of the flag.

Let the length of flag be 'l'.

Let the width of the flag be 'w'.

Now given:

length is 110 feet greater than the width

Length of the flag $l = 110+w$

Now we know that,

Flag is in rectangular shape.

So Perimeter of rectangle is given by 2 times sum of length and width.

framing in equation form we get;

$2(l+w) =540$

Now dividing both side by 2 we get;

$\frac{2}{2}(l+w)=\frac{540}{2}\\\\l+w =270$

Now Substituting the value of 'l' in above equation we get;

$110+w+w=270\\\\110+2w=270$

Subtracting both side by 110 we get;

$110+2w-110=270-110\\\\2w= 160$

Dividing both side by 2 we get;

$\frac{2w}{2}=\frac{160}{2}\\\\w=80\ ft$

Width = 80 feet

Length $l =110+w =110+80 =190 \ ft$

Hence Length of the flag is 190 feet and width of the flag is 80 feet.

8 0

4 years ago

Find the first 4 terms in the expansion of ( 1 + x 2 ) 8. Use your answer to find the value of ( 1.01 ) 8

anyanavicka [17]

(1+x^2)^8

=(1+8x^2+8*7/(1*2)x^4+8*7*6/(1*2*3)x^6+8*7*6*5/(1*2*3*4)x^8+....)

=1+8x^2+28x^4+56x^6+70x^8+....)

For x<1, higher power terms diminish in value, hence we can approximate powers of numbers.

1.01=(1+0.1^2) => x=0.1 in the above expansion

(1.01)^8

=1+8(0.1^2)+28(0.1^4)+56(0.1^6) [ limited to four terms, as requested]

=1+0.08+0.0028+0.000056 (+0.00000070)

=1.082856 (approximately)

7 0

4 years ago