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3 years ago

One angle is 2 more than three times its complement. What is the measure of the smaller angle.

1 answer:

3 0

PLS HELP ASAP I DONT HAVE TIME FOR THIS, IT ALSO DETECTS IF ITS RIGHT IR WRONG PLS HELP ASAP I DONT HAVE TIME FOR THIS, IT ALSO DETECTS IF ITS RIGHT IR WRONG

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A colony of cats were introduced into a reserve. The number of cats present at timet(measured in years since the colony was intr

RUDIKE [14]

ANSWER:

a) 12 cats

b) 232

c) 246

d) 14

EXPLANATION:

Given the expression for number of cats C present at time t:

$C\text{ = }\frac{12.31}{0.05+0.56^t^{}}$

a) To find the number of cats initially on the reserve, let t = 0

Therefore, substitute 0 for t in the equation

$\begin{gathered} C\text{ = }\frac{12.31}{0.05+0.56^0} \\ \text{ = }\frac{12.31}{0.05\text{ + 1}} \\ \text{ = }\frac{12.31}{1.05} \\ =\text{ }11.72 \end{gathered}$

Number of cats initially on the reserve are approximately 12 cats

b) C(10):

$\begin{gathered} C(10)\text{ = }\frac{12.31}{0.05+0.56^{10}}\text{ = 232.12} \\ \end{gathered}$

C(10) = 232

Here, C(10) means that C is a function of 10. This means at time = 10 years

C)Using function notation to express the number of cats present after 17 years, we have:

$C(17)\text{ = }\frac{12.31}{0.05+0.56^{17}}$

$C(17)\text{ = }\frac{12.31}{0.05+0.56^{17}}\text{ = }245.94$

Therefore, number of cats present after 17 years are approximately 246 cats

C(17) = 246 cats

d) In this case, first find the number of cats present in the 10th year and subtract from the number of cats present in the 17th year.

$C(10)\text{ = }\frac{12.31}{0.05+0.56^{10}}=\text{ }232.12$

From question C above, we know C(17) = 246

Therefore, the increase in cat population to be expected from the 10th year to the 17th year is:

C(17) - C(10) = 246 - 232 = 14 cats

7 0

1 year ago

What is the domain of the relation {(2, 8), (0, 8), (–1, 5), (–1, 3), (–2, 3)}?

alekssr [168]

<u>Domain</u> <u>Range</u>
    -1 3
   0 5
   2 8
   3

The domain of the relation {(2, 8), (0, 8), (-1, 5), (-1, 3), (-2, 3)} is {-1, 0, 2, 3}.

5 0

3 years ago

Read 2 more answers

Write the equation of the line in slope-intercept form using y=mx+b

artcher [175]

Answer:
y=2x+0

Explanation:
To find the “b” of this equation you simply see where the line hits the y- intercept , in this case it will be 0. And to find the “m” of this equation you find the rise over run . Hope that helps.

3 0

3 years ago

Find the length of the third side to the nearest tenth.<br>3 6

timurjin [86]

i may not know how the triangle looks like but i assume that its a right angle triangle.

if we want to find the missing length example hypotenuese.. 3 is adjacent and 6 is opposite. Then use the formula:

c²= a²+b²

c²= 3²+6²

c²= 45

c= √45

c= 7 (nearest tenth)

hope this helps

6 0

3 years ago

Rewrite as a square or a cube:<br><br> 3 3/8

STatiana [176]

Answer:

<h2>The Answer is 3/2 in cube number.</h2>

Step-by-step explanation:

<h3> So , the answer is 3/2 in cube number.</h3>

Thank you ☺️☺️

3 0

4 years ago