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3 years ago

How do I identify a rational number? What does a rational number look like?

1 answer:

6 0

A Rational Number is a real number that can be written as a simple fraction

1.5 is a rational number because 1.5 = 3/2 (it can be written as a fraction)

You might be interested in

Some investments in the stock market have earned 10% annually. At this rate, earning can be found using the formula A=p(1.10)n,

Harlamova29_29 [7]

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
The answer to the above question is C which is $8,339.88. below is the solution:

just plug in 1500 for p, and 18 for n:

<span>1500(1.10)^18 = 8339.88</span>

4 0

3 years ago

How many inches smaller is a 6.17 inch worm than a 10.63 inch worm?

mario62 [17]

The worm is approximately 4.46 inches smaller than the other one.

8 0

3 years ago

Suppose a loaded die has the following probability model: If this die is thrown and the top face shows an odd number, what is th

PtichkaEL [24]

Answer:

the probability is 0.6

Step-by-step explanation:

The computation is shown below:

Let us assume the X would be the number appear on the top face

Now

= P(X = 1) ÷ P(X = 0)

= 0.3 ÷ 0.3 + 0.1 + 0.1

= 0.3 ÷ 0.5

= 0.6

hence, the probability is 0.6

6 0

3 years ago

The function below describes the population of caribou in a tundra, where f(t) represents the number of caribou, in hundreds, an

Blizzard [7]

Answer:

Initially, the tundra has 180 caribou, and every year , the number of caribou increases by a factor of 1.2 .

Step-by-step explanation:

"Initially" generally means "when t=0." Put 0 where t is in the function and evaluate it:

f(0) = 1.8(1.2)^0 = 1.8(1) = 1.8 . . . . . hundreds

1.8 hundreds is 1.8×100 = 180.

t is in years, so the simplest choice for the second blank in the statement is "year".

The exponent of 1.2 is t, which means that 1.2 is a factor of the expression the number of times specified by t.

for t=0, f(0) = 1.8

for t=1, f(1) = 1.8(1.2)

for t=2, f(2) = 1.8(1.2)(1.2)

for t=3, f(3) = 1.8(1.2)(1.2)(1.2)

Perhaps you can see that every year, the number increases by a factor of 1.2.

_____

You could put "3 years" in the second blank, then the third blank would be 1.2³ = 1.728. While correct, it is probably not what is expected by your answer checker.

5 0

4 years ago

Let O be an angle in quadrant III such that cos 0 = -2/5 Find the exact values of csco and tan 0.

vivado [14]

well, we know that θ is in the III Quadrant, where the sine is negative and the cosine is negative as well, or if you wish, where "x" as well as "y" are both negative, now, the hypotenuse or radius of the circle is just a distance amount, so is never negative, so in the equation of cos(θ) = - (2/5), the negative must be the adjacent side, thus

$cos(\theta)=\cfrac{\stackrel{adjacent}{-2}}{\underset{hypotenuse}{5}}\qquad \textit{let's find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2 - (-2)^2}=b\implies \pm\sqrt{25-4}\implies \pm\sqrt{21}=b\implies \stackrel{III~Quadrant}{-\sqrt{21}=b}$

$\dotfill\\\\ csc(\theta)\implies \cfrac{\stackrel{hypotenuse}{5}}{\underset{opposite}{-\sqrt{21}}}\implies \stackrel{\textit{rationalizing the denominator}}{-\cfrac{5}{\sqrt{21}}\cdot \cfrac{\sqrt{21}}{\sqrt{21}}\implies -\cfrac{5\sqrt{21}}{21}} \\\\\\ tan(\theta)=\cfrac{\stackrel{opposite}{-\sqrt{21}}}{\underset{adjacent}{-2}}\implies tan(\theta)=\cfrac{\sqrt{21}}{2}$

4 0

2 years ago