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3 years ago

8

Permutations and Combinations : wake up cereal comes in 2 types, crispy and crunchy. If a researcher has 10 boxes of each, how m

any ways can he select three boxes of each for a quality control test?

1 answer:

pantera1 [17]3 years ago

6 0

Answer:

I'm pretty sure theres 11 ways

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What is the image of (1,0) after a counterclockwise rotation of 60 degrees?

Anestetic [448]

Answer:

$\vec s = \left(\frac{1}{2},\frac{\sqrt{3}}{2} \right)$

Step-by-step explanation:

The coordinate has the following polar form:

$\vec r = (1, 0^{\circ})$

The image of the coordinate rotated counterclockwise 60° is:

$\vec s = (1, 60^{\circ})$

Its equivalent form in rectangular coordinates is:

$\vec s = (1\cdot \cos 60^{\circ}, 1 \cdot \sin 60^{\circ})$

$\vec s = \left(\frac{1}{2},\frac{\sqrt{3}}{2} \right)$

3 0

3 years ago

Make Q the subject of the formula A = Q2 - 2a.

son4ous [18]

Answer:

$\huge\boxed{Q = \sqrt{A+2a}}$

Step-by-step explanation:

$A = Q^2 -2a$

Adding 2a to both sides

$Q^2 = A+2a$

Taking sqrt on both sides

$Q = \sqrt{A+2a}$

8 0

3 years ago

When a farmer harvests apples he expects 6% of the apples to be rotten how many apples would the farmer expect to be rotting whe

guapka [62]

The question is incomplete had the number of harvested apples isn't given.

Answer:

0.06n

Step-by-step explanation:

When a farmer harvests apples he expects 6% of the apples to be rotten how many apples would the farmer expect to be rotting when harvesting apples

The expected percentage of rotten apples when harvesting = 6%

The expected number of rotten apples can be obtained by taking the product of the expected percentage and the number of apples to be harvested.

Since the number of harvested apples isn't given,

Let the number of harvested apples = n

Therefore, the expected number of rotten apples will be :

6% * n

0.06n

Note : you can easily substitute the actual number of harvested apples for n in the equto get the actual answer

8 0

3 years ago

Please help! (question in attachment)

igor_vitrenko [27]

Ayy you got it right thank you very much your

5 0

3 years ago

Find f(g(x)) and g(f(x)).<br> f(x)=x²-2 and g(x)=√x+1

Archy [21]

Answer:

1. x - 1

2. $\sqrt{x^2-1}$

Step-by-step explanation:

$f(g(x)) = \sqrt{x+1}^2 - 2\\ = x + 1 - 2\\= x - 1$

$g(f(x)) =\sqrt{x^2-2+1}\\ = \sqrt{x^2-1}$

6 0

2 years ago