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2 years ago

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1. Find the degree of the monomial 6p3q2.

1 answer:

frozen [14]2 years ago

7 0

1. degree of monomial...add the exponents...degree of 5
2. 7t^2 + 9 + 6t^2 + 8 = 13t^2 + 17
3. 3n(4n^2 + 5n) = 12n^3 + 15n^2
4. 18s - 63 = 9(2s - 7)
5. ?? simpler form of what ?
6. (x + 7)(x + 5) = x^2 + 5x + 7x + 35 = x^2 + 12x + 35
7. (2z - 3)(2z - 3) = 4z^2 - 6z - 6z + 9 = 4z^2 - 12z + 9

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Simplify this equation <br> Thanks a lot!!!

den301095 [7]

Answer:

-1

Step-by-step explanation:

We need to simplify the given expression . The given expression is ,

$\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}$

Here we can see that the power of the both exponent is same that is (2n+1) . Recall the property of exponents ,

$\bf\implies a^m \times b^m = (ab)^m$

Using this property , we have ,

$\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}$

This can be written as ,

$\rm\implies\{( 2 \sqrt6 +5) ( 2\sqrt6 - 5)\}^{2n-1}$

Simplifying using ( a+b)(a-b) = a² - b² ,

$\rm\implies\{( 2 \sqrt6)^2 -5^2 \}^{2n-1}\\\\\rm\implies ( 24 - 25)^{2n-1}$

Subtracting the numbers inside the brackets ,

$\rm\implies (-1)^{2n - 1 }$

Now we know that every odd number is in the form of 2n -1 , where n is any integer. Therefore , the <u>power is odd</u> .

Since the base is (-1) , for even power it is 1 and for odd power it is -1 . Therefore the final answer is ,

$\rm\implies\boxed{\quad \red{ -1 }\quad }$

<u>Hence </u><u>the</u><u> </u><u>required</u><u> answer</u><u> is</u><u> </u><u>(</u><u>-</u><u>1</u><u>)</u><u> </u><u>.</u>

4 0

2 years ago

The cone volume of 180 1/4 and a radius of square of 9. What is the height?

Lerok [7]

Answer:

h≈2.12

Radius =9

volume = 180

Step-by-step explanation:

$v=\pi r^{2} \frac{h}{3}$

h=3V / πr2=3· 180 / π·9^2 ≈ 2.12207

7 0

2 years ago

A company determined that the marginal cost, C' (x )of producing the xth unit of a product is given by C' (x )= x^3- 6x. Find t

Rashid [163]

Answer:

$C(x) = \frac{x^4}{4}-3x^2+3,000$

Step-by-step explanation:

The marginal cost function, C'(x), is the derivate of the cost function, C(x).

Therefore, we can obtain the cost function by finding the integral of the marginal cost function:

$C(x) = \int\ {C'(x)} \, dx \\C(x) = \int\ {(x^3-6x)} \, dx \\C(x) = \frac{1}{4} x^4-3x^2+a$

Where 'a' is a constant and represents fixed costs. If fixed costs are $3,000, the cost function is:

$C(x) = \frac{x^4}{4}-3x^2+3,000$

3 0

3 years ago

Help ASAP!! QR is the median of trapezoid MNOP. If MN = 41 and OP = 53, calculate QR.

stealth61 [152]

Answer:

QR = 86

Step-by-step explanation:

<em>Trust.</em>

5 0

3 years ago

Read 2 more answers

Find the volume of a cone that has a height of 15 centimeters and a radius of 6 centimeters.

Mekhanik [1.2K]

Answer:

565.2

Step-by-step explanation:

Cone=1/3bh

B is pir^2

so that means b=pi36 (6*6 =36)

36*15/3 is 565.2

7 0

2 years ago