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tatuchka [14]
3 years ago
12

Question 10 [10 points] The number of frogs in a pond increases continuously at a rate proportional to the number present. There

are 150 frogs present at a given time and 530 present 4 hours later. (a) How many frogs will there be 10 hours later the initial time? (b) How long will it take for the population to reach 10000 frogs?
Mathematics
1 answer:
White raven [17]3 years ago
4 0

Answer:

a) 1325 frogs b)75.47 hours

Step-by-step explanation:

start = 150 frogs

after 4 hours = 530

1) figure out how many frogs per hour 530/4 = 132.5 frogs per hour

2) 10 hours after initial time * 132.5 frogs = 1325 frogs

3) Time to reach 10000 frogs is => 10000 / 132.5 = 75.47 hours

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Phoenix [80]
845* (100-62)%
=845*38%
=845*38/100
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3 years ago
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How do I do this ahh!?
NISA [10]
Just scan it, there’s an answer for it already I’m pretty sure
3 0
3 years ago
Can someone help idk if this is right
navik [9.2K]

Answer:

a_n=-3 \cdot a_{n-1}

a_1=2

You gave the explicit form.

Step-by-step explanation:

You gave the explicit form.

The recursive form is giving you a term in terms of previous terms of the sequence.

So the recursive form of a geometric sequence is a_n=r \cdot a_{n-1} and they also give a term of the sequence; like first term is such and such number. All this says is to get a term in the sequence you just multiply previous term by the common ratio.

r is the common ratio and can found by choosing a term and dividing by the term that is right before it.

So here r=-3 since all of these say that it does:

-54/18

18/-6

-6/2

If these quotients didn't match, then it wouldn't be geometric.

Anyways the recursive form for this geometric sequence is

a_n=-3 \cdot a_{n-1}

a_1=2

5 0
3 years ago
Jeffery bought 203 sheets of stickers. Each sheet has a dozen stickers. He gave away 907 stickers to his family on valentines da
fomenos

Jeffrey has 1529 stickers remaining

<h3>Further Explanation</h3>

From the problem above we know that

Jeffery bought 203 sheet of stickers

Each sticker has a dozen stickers or equal to 12 pcs stickers

He gave away 907 stickers

How many stickers does Jeffery have now?

<u>Step by step explanation</u>

First, we need to calculate the total stickers that Jeffery has, we are going to use the area model methods (see the attachment)

=\boxed {203 \times12\ }\\ =\boxed {(200+3) \times(10+2)\ }\\ =\boxed {(200 \times10)+(200 \times2) + (3 \times10)+(3 \times2)\ }\\ =\boxed {2000+400+30+6\ }\\ =\boxed {2436\ }

Total stickers that Jeffery has is 2436 pcs of stickers, he gave away 907. Total remaining stickers is

=\boxed {2436-907\ }\\ =\boxed {1529\ }

or

2436

<u>  907 -</u>

1529

Now, Jeffery has 1529 pcs of stickers.

<h3>Learn more</h3>

Total spend on equipments brainly.com/question/11593405

Total cost for an office space brainly.com/question/7357576

Standard algorithm model brainly.com/question/1150215

Keywords: multiplication, standard algorithm, area model, three digits multiplication, big number multiplication, additional, subtraction, math expression, substraction of three digits numbers

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4 years ago
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All I need is the answer to part b and c
Reil [10]

Answer: 24, c

Step-by-step explanation:

Looked it up

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