2 years ago

If p=3q^3 , is p a function of q ?

Mathematics

1 answer:

nexus9112 [7]2 years ago

8 0

Yes, it is a function of q since it is expressed in terms of q and hence depends on q.

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How many 10-digit ternary strings are there that contain exactly two 0s, three 1s, and five 2s?

Svet_ta [14]

There are $\dbinom{10}2$ ways of picking 2 of the 10 available positions for a 0. 8 positions remain.

There are $\dbinom83$ ways of picking 3 of the 8 available positions for a 1. 5 positions remain, but we're filling all of them with 2s, and there's $\dbinom55=1$ way of doing that.

So we have

$\dbinom{10}2\dbinom83\dbinom55=\dfrac{10!}{2!(10-2)!}\dfrac{8!}{3!(8-3)!}\dfrac{5!}{5!(5-5)!}=2520$

The last expression has a more compact form in terms of the so-called multinomial coefficient,

$\dbinom{10}{2,3,5}=\dfrac{10!}{2!3!5!}=2520$

5 0

2 years ago

Directions:Use the power rule to simplify the following monomials.

Rom4ik [11]

Step-by-step explanation:

Easy:)

$7)4a^{8}b^{12} \\8)25x^{6}y^{8}\\9)x^{9}y^{9}$ × $xy^{2}$

= $x^{10}y^{11}$

$10)a^{3}$ × $a^{8}b^{4}$

= $a^{11}b^{4}$

$11)4a^{2}b^{4}$ × $9a^{4}b^{2}$

$=36a^{6}b^{6}$

Have a nice day! :)

-Vana

7 0

2 years ago

Triangle RST has vertices R(2, 0), S(4, 0), and T(–3, –1). The image of triangle RST after a rotation has vertices

gayaneshka [121]

Answer:

It should be C aka 270°

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

C 5 mi 12 mi What is the length of the hypotenuse? C = miles

aalyn [17]

12 squared plus 5 squared equals C squared

144+25=169

Square root of 169 is the answer

C= 13 mi

4 0

3 years ago

Numbers x and y both squared and added And ASAP pls Nira here :)

Over [174]

Answer:

2x² + 4y²

according to your given information.......

3 0

1 year ago