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krek1111 [17]
4 years ago
6

I will give you branilest!

Mathematics
1 answer:
sweet [91]4 years ago
8 0

We are given relation between distance( in kilometers) travelled and number of hours taken by an Albatross bird.
Distance in kilometers taken by variable d.
Number of hours by t.
And situation is given d=50t.
We know, direct relation formula y= kx read as y is directly proportional to x. And k is the constants of proportionality.
In the given fuction y is taken by variable d and x is taken by variable t.
If we compare d=50t by y = mx, the value of k is 50.
Therefore, constant of proportionality is 50.
Constant is a number that never change it's value.
Therefore, constant of proportionality is just 50.
But we can say variables d and t are two variables those are directly proportional to each other.
Constant of proportionality is actually unit rate of change.
For the given situation constant of proportionality is the number of km travelled in per unit time (in 1 hour.)
If we divide 400km 8 hours, we get 400/8 = 50 km per hour.
Therefore, variables of proporation are d and t and relation between them is " they are directly proportional to each other".
And the constants of proportionality is just 50.
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(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}

<em><u>Solution:</u></em>

<em><u>Given that,</u></em>

(8a^{-3})^{\frac{-2}{3}

We have to write in simplest form

<em><u>Use the following law of exponent</u></em>

(a^m)^n = a^{mn}

Using this, simplify the given expression

(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^{ -3 \times \frac{-2}{3}}\\\\Simplifying\ we\ get\\\\(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^2\\\\We\ know\ that\ 8 = 2^3\\\\Therefore\\\\(8a^{-3})^{\frac{-2}{3}} =2^3^{\frac{-2}{3}} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} =2^{-2} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}

Thus the given expression is simplified

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3 years ago
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Juliette [100K]

Answer:

Step-by-step explanation:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest.

Hope this help

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What do you want to find out? &gt; The rate at which Bill puts shringles on a rood. What do you know? &gt; Bill and Chip each fi
denis23 [38]

Answer:

  (a) b = (4/7)c

  (b) Bill: 40 shingles/hour; Chip: 70 shingles/hour

Step-by-step explanation:

Let b and c represent Bill's and Chip's rates in shingles per hour, respectively. Then we have ...

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(a) Bill's rate in terms of Chip's rate can be found by dividing the first equation by 7

  b = (4/7)c . . . . . Bill's rate is 4/7 of Chip's rate

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(b) To find the rates, we can multiply the second equation by 7 and substitute using the first equation:

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  b = (4/7)(70) = 40

Bill's rate is 40 shingles per hour; Chip's rate is 70 shingles per hour.

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