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3 years ago

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A bird sanctuary initially contains 1500 birds. Each year, 15% of the birds fly away, so the sanctuary is restocked with 60 new

birds. Write a recursive rule for the number of birds an of birds at the start of the nth year A1=____. An=____

1 answer:

solniwko [45]3 years ago

8 0

Answer:

$A_1 = 1500\\A_n = A_{n-1} - 15\%\cdot A_{n-1} + 60$

Step-by-step explanation:

We just put the task description into the answer :)

The last line can also be shortened to:

$A_n = 85\%\cdot A_{n-1} + 60$

or

$A_n = 0.85A_{n-1} + 60$

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What ratio forms a proportion with 14/42?<br> A. 1/4<br> B. 7/21<br> C. 12/40<br> D. 28/80

koban [17]

Hey there!

"What ratio forms a proportion with $\frac{14}{42}$ ?"

- $\frac{14}{45} =0.56$ (for the decimal)

$A) \frac{1}{4}$ $=0.25$ $(incorrect)$
$B) \frac{7}{21}$ $=0.33$ $(Incorrect)$
$C) \frac{12}{40}$ $0.3$ $(incorrect)$
$D) \frac{28}{80}$ $0.7$ $(incorrect)$

But in order for you to solve this particular equation you'd have to go in with two (like multiplying by two)

$1\times2= 2$ ; $4\times2 = 8$ $(incorrect)$
$7\times 2= 14$ ; $21\times2 = 42$ $(correct)$
$12 \times2 = 24$ ; $40\times 2 = 80$ $(incorrect)$
$2 \times 28 = 56$ ; $2\times 80 = 160$ $(incorrect)$

Your result: $\boxed{Answer: B. \frac{7}{21} }$

Good luck on your assignment and enjoy your day!

~ $\bold{LoveYourselfFirst:) }$

3 0

3 years ago

If a cat with short brown hair (llBb) is crossed with a cat with long black hair (Llbb), what is the likelihood that there will

Advocard [28]

Bb = brown hair phenotype

bb = black hair phenotype

we see that B = brown hair is the dominant gene while b = black hair is the recessive gene

----------------------------------

ll = short hair, this is a lowercase L

Ll = long hair

In this case, l = short hair is the recessive gene while L = long hair is the dominant gene.

----------------------------------

Check out the diagram below to see the dihybrid crosses for each of the hair color and hair length genotypes. From there, I show all of the genotypes possible for any offspring. Those genotypes are

LlBb = long brown hair (comes up 4 times)
Llbb = long black hair (comes up 4 times)
llBb = short brown hair (comes up 4 times)
llbb = short black hair (comes up 4 times)

-----------------------------------

If we are talking about 1 offspring, then it is not possible for him/her to have both "long black hair AND short brown hair" as the instructions state. So let's consider two offspring instead.

The probability of having long black hair is 4/16 = 1/4 as there are 4 cases of Llbb out of 16 cases total. Similarly, the probability of getting llBb is 4/16 = 1/4 as well, for pretty much the same reasons.

The probability of having both events occur is (1/4)*(1/4) = 1/16

The multiplication of probabilities is valid because the two events are independent.

==============================================

<h3>Final Answer: A) 1/16</h3>

5 0

3 years ago

Match each time with a time in the box.

BigorU [14]

If you would like to match each time with a time above, you can do this using the following steps:

a 3h 18m 7s = 11887s<span>
3h = 3 * 60m = 180m; 180m + 18m = 198m; 198m = 198 * 60s = </span>11880s; 11880s + 7s = 11887s

b <span> 8300min = approximately 5 days 18 hours
8300min = 8300 * 60s = </span>498000s
8300 min / 60 min = 138h 20min; 138h / 24h = 5 days 18 hours 20min

c 1461 days
1461 days = 1461 * 24 hours = 35064 hours

d <span>44640min. = 31 days
</span><span>44640min / 60min = 744 hours; 744 hours / 24 hours = 31 days

e </span><span>10:21:2.5
</span>10:21:2.5 = 10 hours, 21 minutes, 2 seconds, 50 milliseconds<span>
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3 years ago

If f(n) n2 - 2n, then f(2) = 0. True.or.False?

Lady_Fox [76]

Answer:

True

Step-by-step explanation:

So we know that:

$f(n)=n^2-2n$

And we are asked to verify whether f(2)=0 is true or false.

To determine the answer, substitute 2 for n in the function and solve. So:

$f(2)=(2)^2-2(2)$

Square and multiply:

$f(2)=4-4$

Subtract:

$f(2)=0$

So, the statement is indeed true.

And we're done!

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4 years ago

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For every dollar that you make you have to pay 8% in tax how much money would that be

eimsori [14]

Answer:

8 cents

Step-by-step explanation:

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