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ikadub [295]
3 years ago
9

What is the factored form of the binomial expansion 64x3 − 336x2y + 588xy2 − 343y3?

Mathematics
1 answer:
Naya [18.7K]3 years ago
4 0

Answer:

Below

Step-by-step explanation:

● 64x3 − 336x2y + 588xy2 − 343y3

● (4x)^3 - 3 × 112x^2y + 3 × 196xy^2 - (7y)^3

● (4x)^2 - 3× 16x^2 × y +3× 4x×49y^2-(7y)^3

● (4x-7y)^3

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While testing a new vaccine, a lab technician noticed that the number of bacteria reduced by half every minute. How long does it
ANTONII [103]
As we know that 
x=x0*[1/2]n
putting the values 
375=3000*[1/2]n
375/3000=<span>[1/2]n
</span>1/8=<span>[1/2]n
simplify
[1/2]3=</span><span>[1/2]n
by cancelling them
so n=3
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7 0
3 years ago
It took 4 balloons to make the duck float. The duck
DaniilM [7]

Answer: 14 grams

Step-by-step explanation:

It took 4 balloons to make a duck that weighs 56 grams to float. With one balloon, the number of grams that will float will be 56 grams divided by 4. This will be:

= 56 grams ÷ 4

= 14 grams

6 0
3 years ago
The marching band sold gift wrap priced at $4.00 per roll for solid colors and $6.00 per roll for print patterns. If they sold 4
Alex Ar [27]

Answer:

The number of gift wrap rolls for solid colors sold was 270 and the number of gift wrap rolls for sprint patterns sold was 210

Step-by-step explanation:

Let

x ---> the number of gift wrap rolls for solid colors sold

y ---> the number of gift wrap rolls for sprint patterns sold

we know that

x+y=480 ---->x=480-y ----> equation A

4x+6y=2,340 ----> equation B

Solve the system by substitution

substitute equation A in equation B

4(480-y)+6y=2,340

solve for y

1,920-4y+6y=2,340

-4y+6y=2,340-1,920

2y=420

y=210

<em>Find the value of x</em>

x=480-y ----> x=480-210=270

therefore

The number of gift wrap rolls for solid colors sold was 270 and the number of gift wrap rolls for sprint patterns sold was 210

8 0
3 years ago
Which point shows the location of 5 – 2i on the complex plane below? On a coordinate plane, points A, B, C, and D are shown. Poi
Romashka-Z-Leto [24]

Answer:

The Point C shows the location of 5-2i in the complex plane: 5 points to the right of the origin and 2 points down from the origin.

Step-by-step explanation:

We have the complex number 5-2i and we have to show the location of the point that represents that number in the complex plane

In the complex plane the real numbers are located in the horizontal axis, increasing to the right. The positives real numbers are at the right of the origin and the negatives to the left.

The complex numbers are located in the vertical axis, with the positives over the origin and the negatives below the origin.

This complex number 5-2i is the sum of a real part (5) and a imaginary part (-2i), so the point will be 5 units rigth on the horizontal axis (for the real part) and 2 units down in the vertical axis (for the imaginary part).

8 0
3 years ago
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Simply 10^6 over 10^-3
NNADVOKAT [17]
Your answer will be 10³
3 0
3 years ago
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