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matrenka [14]
3 years ago
6

at time t, in hours, a lake is covered with ice of thickness y cm, where y = .5 t^1.5 . if ice forms for 0 <= t <= 6, at w

hat time in this interval is the ice thickest? at what time is the ice forming fastest?
Mathematics
1 answer:
andriy [413]3 years ago
5 0
Y = .5 * t^(1.5)
Points on the graph are:
( 0, 0 ) , ( 1 , .5 ), ( 2 1.41 ), ( 3, 2.5985 ), ( 4 , 4 ), ( 5 , 5.59 ) , ( 6, 7.34 ).
Answer:
The ice is thickest at t = 6.
The ice is forming fastest at t = 6. 
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the local bakery uses 1.75 cups of flour in each batch of cookies. the bakery usee 5.25 cups of flour this morning. How many bat
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Using 5.25 cups of flour would make 3 batches of cookies. He made 180 cookies.

Step-by-step explanation:

To see how many batches you make all you do is take the 5.25 and divide it by 1.75 because thats how much it takes to make 1. When you divide it you get 3. If there are 5 dozen in each batch thats 60 cookies because 1 dozen is 12. Then,since he made 3 batches you multiply the 60 by 3 and you get 180.

Hope this helps!

4 0
3 years ago
Of 560 marbles in a bag, 65% are red and the rest are blue. After 28 red marbles are replaced with blue ones, how many blue marb
jonny [76]

Answer:  The answer is 400  blue marbles.


Step-by-step explanation: Given that there are 560 marbles in a bag, out of which 65% are red and rest are blue.

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n_r=65\%\times 560=\dfrac{65}{100}\times 560=364,

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n_b=560-364=196.

Now, if 28 red marbles are replaced by blue marbles, the the new number of red and blue marbles will be

n_r^\prime=364-28=336~~~\textup{and}~~~n_b^\prime=196+28=224.

Now, to get 65% of the marbles blue, we need to add some more blue marbles to the bag. Let 'x' number of blue marbles are added to the bag, then

65\%\times (560+x)=224+x\\\\\Rightarrow \dfrac{65}{100}\times (560+x)=224+x\\\\\Rightarrow 13(560+x)=20(224+x)\\\\\Rightarrow 7280+13x=4480+20x\\\\\Rightarrow 7x=2800\\\\\Rightarrow x=400.

Thus, 400 blue marbles need to be added to the bag.


5 0
3 years ago
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{:\implies \quad \boxed{\bf{\dfrac{-4x+7}{2(x-2)}}}}

<em>Hence, Option B) is </em><em>required</em><em> </em><em>answer</em>

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