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2 years ago

6

Please help!!! I'll give brainliest!!

1 answer:

yulyashka [42]2 years ago

8 0

Answer:

Delaware Colony

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To determine the number of trout in a lake, a conservationist catches 180 trout, tags them and throws them back into the lake.

GaryK [48]

The ratio of the trout with tags that are caught and the total trout with tags is first calculated.

r = 12 trout / 180 trout = 1/15

Then, we divide the number of trouts caught without tag by the value obtained above.

N = (48 - 12) / (1/15) = 540

Then, we add the number obtained above and 180.
T = 540 + 180 = 720

ANSWER: 720

3 0

3 years ago

(01.04 MC)Simplify the following expression: (−4)(−2)(−3) A -24 B -11 C 11 D 24

lys-0071 [83]

Answer:

-24

Step-by-step explanation:

So in short this is what it means:

-4×-2×-3

So to work it out this is what you do:

Deal with the first two numbers; -4 × -2=8

It becomes an eight without a negative because when multiplying numbers with the same signs(positive or negative) the answer is always a positive number thus the answer becomes 8.

Then 8×-3=-24

This is because when multiplying a negative and positive numbers the answer is always a negative numbers thus -24.

So automatically the answer is -24.

HOPE IT HELPED

6 0

3 years ago

Read 2 more answers

What number has exactly 5 factors between 1 and 20

mariarad [96]

<span>The factors of 16 are 1, 2, 4, 8, and 16.</span>

3 0

3 years ago

Read 2 more answers

Ashton just launched a new business page on social media. After one month, she has 35 followers.

Georgia [21]

Answer:

122.5

Step-by-step explanation:

If it triples her followers per 6 months then it gives her half of her followers in one month. So 35 times 3.5 which is 122.5

7 0

3 years ago

For every integer k from 1 to 10, inclusive the "k"th term of a certain sequence is given by (−1)(k+1)∗(12k). If T is the sum of

Katena32 [7]

Answer:

Option D. is the correct option.

Step-by-step explanation:

In this question expression that represents the kth term of a certain sequence is not written properly.

The expression is $(-1)^{k+1}(\frac{1}{2^{k}})$ .

We have to find the sum of first 10 terms of the infinite sequence represented by the expression given as $(-1)^{k+1}(\frac{1}{2^{k}})$ .

where k is from 1 to 10.

By the given expression sequence will be $\frac{1}{2},\frac{(-1)}{4},\frac{1}{8}.......$

In this sequence first term "a" = $\frac{1}{2}$

and common ratio in each successive term to the previous term is 'r' = $\frac{\frac{(-1)}{4}}{\frac{1}{2} }$

r = $-\frac{1}{2}$

Since the sequence is infinite and the formula to calculate the sum is represented by

$S=\frac{a}{1-r}$ [Here r is less than 1]

$S=\frac{\frac{1}{2} }{1+\frac{1}{2}}$

$S=\frac{\frac{1}{2}}{\frac{3}{2} }$

S = $\frac{1}{3}$

Now we are sure that the sum of infinite terms is $\frac{1}{3}$ .

Therefore, sum of 10 terms will not exceed $\frac{1}{3}$

Now sum of first two terms = $\frac{1}{2}-\frac{1}{4}=\frac{1}{4}$

Now we are sure that sum of first 10 terms lie between $\frac{1}{4}$ and $\frac{1}{3}$

Since $\frac{1}{2}>\frac{1}{3}$

Therefore, Sum of first 10 terms will lie between $\frac{1}{4}$ and $\frac{1}{2}$ .

Option D will be the answer.

3 0

3 years ago