Q # 6 please help to resolve

Mathematics

1 answer:

Rus_ich [418]2 years ago

4 0

The numbers of choices in each category are multiplied together. We assume the order of paint choices matters: using color 1 in area A and color 2 in area B is not the same as using color 2 in area A and color 1 in area B.

P(7,2)*4*3*2 = 42*4*3*2 = 1008 ways

_____
P(n, k) = n!/(n-k)!
P(7, 2) = 7*6 = 42

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If a < 0 and c > b, circle the expression that is greater:

matrenka [14]

Answer:

The expression that is greater is a (b - c)

Step-by-step explanation:

a < 0 and c > b, this means (by the addition property) that c - c > b - c⇒0 > b - c

so for the product a(b - c) we would have a multiplication of a negative number a and another negative number (b - c). We know that the result of the multiplication of two negative numbers is a positive number.

Therefore, a (b - c) > 0

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so for a(c - b), we have the negative number a multiplied by the positive number (c - b). We know that the result of the multiplication of a negative number by a positive number is negative.

Therefore a (c - b) < 0

Thus, the expression that is greater is the positive one which is a (b - c)

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3 years ago

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dmitriy555 [2]

We know that
volume of a cylinder=pi*r²*h
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A second cylinder has
V2=V-----> volume of the second cylinder
h2=25*h----> height of the second cylinder
r2----> radius of the second cylinder
r2=√[V2/(pi*h2)]----> r2=√[V/(pi*25*h)]---> r2=(1/5)*√[V/(pi*h)

r2=(1/5)*10-----> r2=2 m

the answer is
the radius of the second cylinder is 2 m

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3 years ago

What figure can be made with exactly 420 squares?

Natali [406]

5. The 5th figure will have 30 tiles.
6. The 6th figure will have 42 tiles.
7. The pattern is non-linear (quadratic).
8. The 20th figure can be made with 420 tiles.

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.. n(n +1) = 420
.. n^2 +n -420 = 0
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3 years ago

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STatiana [176]

LCM= 40

factors of 5- 5, 10, 15, 20, 25, 30, 35, 40*
factors of 8- 8, 16, 24, 32, 40*

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3 years ago

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Lisa [10]

Answer:

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Step-by-step explanation:

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