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Radda [10]
3 years ago
11

Urgent!!! Please simplify

Mathematics
1 answer:
Fofino [41]3 years ago
5 0

Answer:

The answer is

<h2>3x² - 2x³</h2>

Step-by-step explanation:

First factor (x+1)² out of the expression

That's

\frac{ ({x + 1})^{2} (6 \cos( \frac{\pi}{3} )) {x}^{2} -  {x}^{3}   \times 2 \sin( \frac{\pi}{2} )  }{ ({x + 1})^{2} }

Reduce the expression by (x + 1)²

We have

6 \cos( \frac{\pi}{3} )  \times  {x}^{2}  -  {x}^{3}  \times 2 \sin( \frac{\pi}{2} )

Using trigonometric values table

\cos( \frac{\pi}{3} )  =  \frac{1}{2}

\sin( \frac{\pi}{2} )  = 1

So we have

6 \times  \frac{1}{2}  \times  {x}^{2}  -  {x}^{3}  \times 2 \times 1

Simplify

We have the final answer as

{3x}^{2}   - 2 {x}^{3}

Hope this helps you

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A teacher has 40 learners in her class. She chooses 1% to clean her board. Is this possible?​
worty [1.4K]

Step-by-step explanation:

No, 1% of 40 is the same as 40% of 1. Which is 0.025% You cant have 0.025% of a learner or a human so this isn't possible.

7 0
3 years ago
Standard issue passenger license plates in Ohio consist of three letters followed by four numbers. How many standard issue licen
dezoksy [38]

Answer:

The standard issue license plates that can be produced if there are no restrictions on the letters and numbers = 175760000

Step-by-step explanation:

If there are no restrictions, all numbers and letters are available to be used then. And with no restrictions, every number or letter can appear more than once.

There are 7 spaces available; 3 spaces for letters, 4 spaces for numbers

The different combination of letters and numbers then becomes,

26 × 26 × 26 × 10 × 10 × 10 × 10

This is because, all 26 letters (A to Z) can occupy the first space, the second space and the third space. And all 10 digits (0 to 9) can occupy the fourth space, the fifth space, the sixth space and the seventh space.

So, the standard issue license plates that can be produced if there are no restrictions on the letters and numbers = 26 × 26 × 26 × 10 × 10 × 10 × 10 = 175760000 different standard issue license plates.

8 0
3 years ago
A mass club has 40 members the number of girls is five less than two times the number of boys how many members are boys how many
Lorico [155]

Answer:

15 boys and 25 girls

Step-by-step explanation:

The sum of boys (b) and girls (g) is given as 40:

g + b = 40

The number of girls is 2 times the number of boys minus 5:

2b - 5 = g

First formula can be rewritten as g = 40 - b

Then you can substitute this for g in the second, and you get:

2b-5 = 40-b

Which simplifies to:

2b + b = 40 + 5

3b = 45

b = 15

g = 40-15 = 25

15 boys, 25 girls.

6 0
4 years ago
(−1) to the power of 3
stiv31 [10]

(-1) ^3

-(1) * (-1) * (-1)

1 * (-1)

=-1

Answer: -1

3 0
3 years ago
Read 2 more answers
0. Kevin needs to buy shrubs for his yard. Six shrubs at the nursery cost $72.00. At the garden
Elanso [62]

Answer:

72÷6=12

so at the nursery it cost $12 per shrub

66÷6=11

so at the store it cost $11 per shrub

so if you buy 21 shrubs from the nursery it will cost: 12×21=$252

but if you buy 21 shrubs from the store it only cost: 11×21=$231

$252-$231=$21

7 0
3 years ago
Read 2 more answers
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