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ANEK [815]
3 years ago
6

Write a function that models the variation. x = 1/3, y = 1/5, and r = 3 when z = 1/2. z varies directly with x and inversely wit

h the product of r^2 and y.
Mathematics
1 answer:
Elodia [21]3 years ago
6 0
Z varies directly with x 
<span>so, let z = kx (k is some constant) </span>
<span>now, since when z = 1/2, x = 1/3 </span>
<span>we get, 1/2 = k/3, so k = 3/2 </span>
<span>so, we get z = 3x/2 </span>

<span>z varies inversely with the product of r^2 and y </span>
<span>so, z = c/(y * r^2) (c is some constant) </span>
<span>again, when z = 1/2, y = 1/5 and r = 3 </span>
<span>so, we get, 1/2 = c/(9/5), so c = 9/10 </span>
<span>so, we get z = 9/(10*y*r^2) </span>

<span>the above two functions model the variations </span>

<span>does this make sense ?
hopefully this is right!</span>
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NNADVOKAT [17]

Answer:

<h2>37/9</h2>

Step-by-step explanation:

<h3>we have</h3>

<h3>3.77777... :- is a repeating decimal</h3>

<h3>Let</h3>

<h3>x = 3.7...</h3>

<h3>so</h3>

<h3>10x =37.7...</h3>

<h3>10x - x = 37.7... -3.7...</h3>

<h3>9x=34</h3>

<h3>x= 34/9</h3>

<h3>convert to mixed number</h3>

<h3>34/9=(27/9)+(7/9)=3+(7/9) =37/9</h3>

<h3> I hope this may help you.</h3>
7 0
3 years ago
The King Cobra is a roller coaster. It sells more than 900
Elena-2011 [213]

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Step-by-step explanation:

3 0
3 years ago
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Adam is going to cook a turkey for 14 people and wants to allow ¾ lb of turkey for each person.
Kobotan [32]
Missing info:
Turkey Sizes: 
<span>small - 2kg - 3.9kg </span>
<span>medium - 4kg - 5.4kg </span>
<span>large - 5.5kg - 7.2kg </span>
<span>extra large - 7.3kg - 9.2kg </span>

<span>Turkey Prices: </span>
<span>Small / Medium - £5.99 per kg </span>
<span>Large / Extra Large - £4.99 per kg 
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1 lb = 450 grams

10.5 lbs * 450grams/lb = 4,725 grams

1 kg = 1000 grams

<span>4,725 grams * 1kg/1000 grams = 4725 kg / 1000 = 4.725 kg.

4.725 kg is under the Medium size of the Turkey.

Medium sized turkey costs </span>£<span>5.99 per kg.

4.725 kg * </span>£5.99 per kg = £<span>28.30

A turkey would cost </span> £<span>28.30 for 14 people.</span>
4 0
3 years ago
Vicki is 5 years older than twice Ella's age, a.
Anettt [7]

Answer:

5+3a=29

Step-by-step explanation:

let Ella's age be 'a'

Vicki's age=5+2a

sum of their ages= 29

So, the equation is

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<em>hope this helps!</em>

8 0
3 years ago
Read 2 more answers
Select the correct answer.
Nataly_w [17]

Answer:

<em>The translation corresponds to a translation of 13 units to the right</em>

Step-by-step explanation:

<u>Translation of a Graph</u>

If the graph of

y=f(x) is translated a units horizontally, then the equation of the translated graph is

y =f(x - a)

The value of a is considered positive for translations to the right.

The parent function is

y = x

and the given function is

y = x - 13

The translation corresponds to a translation of 13 units to the right

6 0
3 years ago
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