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3 years ago

14

Using formulas in geometry help! due tommorow

1 answer:

zloy xaker [14]3 years ago

8 0

Answer:

1. P= 12

2. A=6

3. 3.75

Step-by-step explanation:

Hope This Helped

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What is the factorization of 729^15+1000

Nesterboy [21]

$\bf \textit{difference and sum of cubes} \\\\ a^3+b^3 = (a+b)(a^2-ab+b^2) \\\\ a^3-b^3 = (a-b)(a^2+ab+b^2) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} 729=27^2\\ \qquad (3^3)^2\\ 1000=10^3 \end{cases}\implies 729^{15}+1000\implies ((3^3)^2)^{15}+10^3 \\\\\\ ((3^2)^{15})^3+10^3\implies (3^{30})^3+10^3\implies (3^{30}+10)~~[(3^{30})^2-(3^{30})(10)+10^2] \\\\\\ (3^{30})^3+10^3\implies (3^{30}+10)~~~~[(3^{60})-(3^{30})(10)+10^2]$

now, we could expand them, but there's no need, since it's just factoring.

3 0

3 years ago

7x + 3x + x⁴ divided by x-2 using long division

VARVARA [1.3K]

Answer:

10x + x^4/x-2

Step-by-step explanation:

Combine like terms

(10x + x^4)/(x-2)

4 0

1 year ago

Read 2 more answers

The quantity of Sensitech laser gaming mice demanded each month is related to the unit price by the equation p = 480.03x2 + 1 (0

stich3 [128]

Answer: a) $p=480.03x^2+1$ , b) $R'(x)=1440.09x^2+1$ c) $5761.36.

Step-by-step explanation:

Since we have given that

Unit price is expressed as

$p=480.03x^2+1$

Let x be the number of units of a thousands.

So, Revenue function is given by

$R(x)=px\\\\R(x)=x(480.03x^2+1)\\\\R(x)=480.03x^3+x$

.(b) Find the marginal revenue function R'..

Marginal revenue function becomes,

$R'(x)=3\times 480.03x^2+1\\\\R'(x)=1440.09x^2+1$

(c) Compute R'(2).

$R'(2)=1440.09(2)^2+1\\\\R'(2)=5760.36+1\\\\R'(2)=5761.36$

Hence, a) $p=480.03x^2+1$ , b) $R'(x)=1440.09x^2+1$ c) $5761.36.

5 0

3 years ago

A store has clearance items that have been marked down by 25%. They are having a sale, advertising an additional 40% off clearan

Hatshy [7]

Answer: He would pay 45% of the original price.

Step-by-step explanation:

Since we have given that

Let the original price of item be 'x'

Rate mark down by 25%

Amount of marked down would be

$\dfrac{25}{100}\times x\\\\=0.25x$

Amount after marked down becomes

$x-0.25x\\\\=0.75x$

Additional clearance items by 40% off

Amount of additional off is given by

$\dfrac{40}{100}\times 0.75x\\\\=0.4\times 0.75x\\\\=0.3x$

After additional off, the amount becomes,

$0.75x-0.3x\\\\=0.45x$

Hence, he would pay 45% of the original price.

5 0

3 years ago

PLEASE HELP ASAP!!

koban [17]

Answer:

1200

Step-by-step explanation:

since the first week has 75 doubling it is 150 doubling that is 300 doubling that is 600 doubling that for the final week is 1200.

7 0

2 years ago