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2 years ago

12. A bag contains 12 red, 9 green and 5 black markers. If Cooper randomly selects 7 markers, how many

Mathematics

1 answer:

ASHA 777 [7]2 years ago

8 0

Answer:

Step-by-step explanation:

7 marks

6 same colors

from 12 red 6 same exactly the same

12 x 11 x 10 x 9 x7 x6

1 remainig

from 9 green 6 saem exactly the same

9 x 8 x 7 x 6 x5 x4

1 remaining

add the results above to get your final answer

26 markers in total

6 to be chosen of the same color from 7

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PLEASE HELP. TAKE AT HOME TEST. if u = LN5 and v = LN2, write LN8/15 in terms of u and v. (8/15 is 8 over 25)

astra-53 [7]

Answer:

$\ln( \frac{8}{25} ) = 3v - 2u$

Step-by-step explanation:

We have that

$u= \ln(5)$

and

$v = \ln2$

This implies that;

$5 = {e}^{u}$

and

$2 = {e}^{v}$

Now find and expresion for

$\ln( \frac{8}{25} )$

Which is

$\ln( \frac{8}{25} ) = ln(8) - ln(25)$

$\ln( \frac{8}{25} ) = ln( {2}^{3} ) - ln( {5}^{2} )$

$\ln( \frac{8}{25} ) = 3 ln( {2} ) - 2ln(5)$

$\ln( \frac{8}{25} ) = 3v - 2u$

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3 years ago

Write a possible third degree polynomial with integer coefficient that have zeros: 1 2i, -4. Assume the leading coefficient to b

jasenka [17]

Answer:

The polynomial is:

$p(x) = x^3 + 2x^2 - 3x + 20$

Step-by-step explanation:

A third degree polynomial can be written in function of it's zeros $x_1, x_2, x_3$ the following way:

$p(x) = a(x - x_1)(x - x_2)(x - x_3)$

In which a is the leading coefficient.

Integer coefficient that have zeros: 1+2i, 1-2i, -4

Leading coefficient: 1

$p(x) = 1(x - (1+2i))(x - (1-2i))(x - (-4))$

$p(x) = (x - 1 -2i)(x - 1 + 2i)(x + 4)$

$p(x) = ((x-1)^2 - (2i)^2)(x + 4)$

$p(x) = (x^2 - 2x + 1 - 4i^2)(x + 4)$

Since $i^2 = -1$

$p(x) = (x^2 - 2x + 1 + 4)(x + 4)$

$p(x) = (x^2 - 2x + 5)(x + 4)$

$p(x) = x^3 + 4x^2 - 2x^2 - 8x + 5x + 20$

$p(x) = x^3 + 2x^2 - 3x + 20$

3 0

3 years ago

Can someone pls help

Liono4ka [1.6K]

Answer:

Step-by-step explanation:

I honestly dont know the step by step process but im pretty sure its A

7 0

3 years ago

If it has work to show, please include it. please help

aleksklad [387]

Answer:

B) 256

Step-by-step explanation:

You are doubling the amount of boxes there are each time:

Pattern 1: 1 box

Pattern 2: 2 boxes

Pattern 3: 4 boxes

Pattern 4: 8 boxes

Pattern 5: 16 boxes

Pattern 6: 32 boxes

Pattern 7: 64 boxes.

Each box takes 4 matches to create. There are 64 boxes in total by the 7th pattern. Multiply 4 with 64:

64 x 4 = 256

B) 256 matches is your answer.

4 0

3 years ago

How to write three million forty four thousand six hundred twenty one in number form

Gelneren [198K]

Im pretty sure its like this

3,440,621. Srry if its wrong..

8 0

3 years ago