What is the product?

Mathematics

2 answers:

Leya [2.2K]3 years ago

8 0

Answer:

5/4k^2

Step-by-step explanation:

P=5\dfrac{k}{6}\times \dfrac{3}{2k^3}.

We will be using the following property of exponents:

\dfrac{a^x}{a^y}=a^{x-y}.

We have

P\\\\\\=5\dfrac{k}{6}\times\dfrac{3}{2k^3}\\\\\\=\dfrac{5}{6}\times\dfrac{3}{2}k^{1-3}\\\\\\=\dfrac{5}{4}k^{-2}=\dfrac{5}{4k^2}.

Thus, the required product is \dfrac{5}{4k^2}.

Read more on Brainly.com - brainly.com/question/8858421#readmore

Korolek [52]3 years ago

7 0

Answer: 5/4k^2

Step-by-step explanation:

Just multiply the fractions then simplify by a common factor of 3, then cancel out the common variable of k

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Baby Kana's parents measure her height every month. H(t) is models Kana's height (in centimeters) when she was t months old. Wha

Ivenika [448]

Answer:

Kana's height is 150 centimeters at the age of 160 months.

Step-by-step explanation:

We are told that Baby Kana's parents measure her height every month. H(t) models Kana's height (in centimeters) when she was t months old and we are asked to tell what does the statement H(160)=150 mean.

We can see that this is a function and each input is related to exactly one output.

Since we know that t represents number of months and H(t) represents Kana's height in centimeters after t months. 160 is number of months and 150 is height in centimeters.

Therefore, $H(160)=150$ means that Kana's height at the age of 160 months is 150 centimeters.