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3 years ago

A colony of insects doubles every day. If the colony has 5 insects todayHow many will be present in 20 days?

Mathematics

1 answer:

Alex787 [66]3 years ago

5 0

Answer: b is the correct answer.

Step-by-step explanation:

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EXPLAIN THE ERROR Cody was given two points (1/2,4) and (2/3,1), on a line and asked to create a linear equation in standard for

inessss [21]

Answer:

Cody made a mistake when calculating the slope of the line and this affected every other steps after than.

She divided -3 by 6 instead of -3 by 1/6

Step-by-step explanation:

Given

$(x_1,y_1) = (\frac{1}{2},4)$

$(x_2,y_2) = (\frac{2}{3},1)$

<em>See attached for steps</em>

Required

Explain Cody's error

<em>Cody made a mistake when calculating the slope of the line and this affected every other steps after than.</em>

See Proof

Slope (m) is calculated as thus:

$m =\frac{y_2 - y_1}{x_2 - x_1}$

$m =\frac{1 - 4}{\frac{2}{3} - \frac{1}{2}}$

$m =-\frac{ 3}{\frac{1}{6}}$

$m = -3/\frac{1}{6}$

$m = -3 * 6$

$m = -18$

This is in contrast to $m = -\frac{1}{2}$ , calculated by Cody

Solving further to determine the equation.

$y - y_1 = m(x - x_1)$

Where

$(x_1,y_1) = (\frac{1}{2},4)$

$m = -18$

$y - 4 = -18(x - \frac{1}{2})$

$y - 4 = -18x + 9$

Collect Like Terms

$y + 18x = 9 + 4$

$y + 18x = 13$

6 0

3 years ago

Express in words 18.01

galben [10]

What is the question?

5 0

2 years ago

Read 2 more answers

Steve placed 5 weights on a scale during science class. If each weight

s2008m [1.1K]

Answer:

Step-by-step explanation:

If each weight is the same than we can simple multiply the weight of one by the number of weights there are

$5(0.8)=4$

3 0

3 years ago

Write the number 31 in tens and ones

cluponka [151]

Just use 3 tens and 1 ones.

3 0

3 years ago

Read 2 more answers

The difference of the square of a number and 24 is equal to 5 times that number. Find the negative solution.

vampirchik [111]

Answer:

the "negative solution" is -3

Step-by-step explanation:

Represent the number by n.

Then n^2 - 24 = 5n

We rewrite this in standard quadratic form:

n^2 - 5n - 24 = 0

This factors as follows; (n + 3)(n - 8) = 0

The roots are n = -3 and n = 8. Thus, the "negative solution" is -3

8 0

3 years ago