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3 years ago

In 6n + 8, n is best described as

Mathematics

1 answer:

Harman [31]3 years ago

7 0

n is best described as a unknown variable

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A box contain 9 novels, 7 biographies, and 5 reference books. Alyssa randomly chooses a book, then she randomly chooses another

Tanzania [10]

$first\ book:\\9\ novels+7\ biographies+5\ reference=21\ all\ books\\probability:\\P_1("chooses\ biographie")= \frac{7}{21} = \frac{1}{3} \\\\second\ book:\\9\ novels+6\ biographies+5\ reference=20\ all\ books\\probability:\\P_2("chooses\ biographie")= \frac{6}{20} = \frac{3}{10}\\\\the\ probablity\ that\ Alyssa\ chooses\ two\ biographies:\\P("two\ biographies")=P_1\cdot P_2= \frac{1}{3}\cdot \frac{3}{10} = \frac{1}{10} =0.1\\\\Ans.\ Probability\ is\ 0.1$

5 0

3 years ago

6x - 2y = 26 2x + 3y = 5 Solve for X and Y

Softa [21]

Answer:

y is equal to -1

x is equal to 4

Step-by-step explanation:

The first thing you would do is multiply the bottom equation by a negative 3. You will get - 6x - 9y = -15. Keep the top equation the same. Both of the 6x's cancel. You then get -11y = 11 so y is equal to negative 1.

Since you have Y, you can now plug that in to any equation to find the value of x. -6x - 2(-1) = 26. You're left with 4. Plug both of the values into each equation to double check.

7 0

3 years ago

Please help ASAP thank you!!!!

mart [117]

Answer:

41. f⁻¹(x) = -9x + 4

43. m⁻¹(x) = ∛(x-2)/4

Step-by-step explanation:

41. y = (4-x)/9

swap x and y: x = (4-y)/9

solve y: 9x = 4-y

y = -9x + 4

45. y = 4x³+2

x = 4y³+2

4y³ = x-2

y³ = (x-2)/4

y = ∛(x-2)/4

Let you do 42 and 46 by yourself

5 0

3 years ago

Please can anyone help me answer this question I'm really struggling with it

Anika [276]

Answer:

$v = {210cm}^{3}$

Step-by-step explanation:

Formula for finding the volume of a triangular prism is given as:

$v = \frac{1}{2} \times b \times h \times l$

where,

b = breadth = 7cm

h = height = 6cm

l = length = 10cm

Thus,

$v = \frac{1}{2} \times 7cm \times 6cm \times 10cm$

$v = \frac{1}{2} \times 420 {cm}^{3}$

$v = \frac{ {420cm}^{3} }{2}$

$v = {210cm}^{3}$

7 0

3 years ago

Evaluate exactly the value of the integral from -1 to 0 (2x^4+8x)^3 (4x^3+4),dx. Include the use of substitution and the antider

ddd [48]

Hello,

Let's be

$z=2x^4+8x \\
dz=(8x^3+8)\ dx=8(x^3+1)\ dx \\

 \int\limits^0_{-1} {(2x^4+8x)^3*(4x^3+4)} \, dx =4* \int\limits^0_{-6} { \dfrac{z^3}{2}} \, dz \\
= 2* \left[\begin{array}{ccc} \dfrac{z^4}{4}\end{array}\right] ^0_{-6}=
\left[\begin{array}{ccc} \dfrac{z^4}{2}\end{array}\right] ^0_{-6}=0-648=-648$

3 0

3 years ago