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1 year ago

Us mathematical symbols to write an inequality that compares -2 and -9

Mathematics

2 answers:

zimovet [89]1 year ago

6 0

Answer:

-2 > -9

-9 < -2

Step-by-step explanation:

Kaylis [27]1 year ago

5 0

<h3>Answer:</h3>

-2 > -9

<h3>Step-by-step explanation:</h3>

Inequalities represent values by comparing their size to other numbers.

Negative Numbers

While positive 9 might be larger than positive 2, remember that negative numbers work in the opposite way. -9 is more negative than -2, thus it is smaller. Another way to think about it is that -9 is further below 0 than -2.

Inequality Symbols

There are 2 main inequality symbol < (less than) and > (greater than). The symbol opens to the side of the larger number. Because we know that -2 is greater than -9, we can make the inequality -2 > -9.

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What type of counting problem is this? How many different sequences of 3 playing cards (from a single 52-card deck) exist?

n200080 [17]

Answer:

Permutation without repetition

Step-by-step explanation:

The order of the cards matter, which makes it a permutation, but since none of the cards are exactly the same, repetition isn't allowed/possible

7 0

3 years ago

I desperately need help !

Lorico [155]

Answer:

t = 9.57

Step-by-step explanation:

We can use trig functions to solve for the t

Recall the 3 main trig ratios

Sin = opposite / hypotenuse

Cos = adjacent / hypotenuse

Tan = opposite / adjacent.

( note hypotenuse = longest side , opposite = side opposite of angle and adjacent = other side )

We are given an angle as well as its opposite side length ( which has a measure of 18 ) and we need to find its adjacent "t"

When dealing with the opposite and adjacent we use trig ratio tan.

Tan = opp / adj

angle measure = 62 , opposite side length = 18 and adjacent = t

Tan(62) = 18/t

we now solve for t

Tan(62) = 18/t

multiply both sides by t

Tan(62)t = 18

divide both sides by tan(62)

t = 18/tan(62)

t = 9.57

And we are done!

3 0

2 years ago

Read 2 more answers

Derivative of tan(2x+3) using first principle

kodGreya [7K]

$f(x)=\tan(2x+3)$

The derivative is given by the limit

$f'(x)=\displaystyle\lim_{h\to0}\frac{f(x+h)-f(x)}h$

You have

$\displaystyle\lim_{h\to0}\frac{\tan(2(x+h)+3)-\tan(2x+3)}h$
$\displaystyle\lim_{h\to0}\frac{\tan((2x+3)+2h)-\tan(2x+3)}h$

Use the angle sum identity for tangent. I don't remember it off the top of my head, but I do remember the ones for (co)sine.

$\tan(a+b)=\dfrac{\sin(a+b)}{\cos(a+b)}=\dfrac{\sin a\cos b+\cos a\sin b}{\cos a\cos b-\sin a\sin b}=\dfrac{\tan a+\tan b}{1-\tan a\tan b}$

By this identity, you have

$\tan((2x+3)+2h)=\dfrac{\tan(2x+3)+\tan2h}{1-\tan(2x+3)\tan2h}$

So in the limit you get

$\displaystyle\lim_{h\to0}\frac{\dfrac{\tan(2x+3)+\tan2h}{1-\tan(2x+3)\tan2h}-\tan(2x+3)}h$
$\displaystyle\lim_{h\to0}\frac{\tan(2x+3)+\tan2h-\tan(2x+3)(1-\tan(2x+3)\tan2h)}{h(1-\tan(2x+3)\tan2h)}$
$\displaystyle\lim_{h\to0}\frac{\tan2h+\tan^2(2x+3)\tan2h}{h(1-\tan(2x+3)\tan2h)}$
$\displaystyle\lim_{h\to0}\frac{\tan2h}h\times\lim_{h\to0}\frac{1+\tan^2(2x+3)}{1-\tan(2x+3)\tan2h}$
$\displaystyle\frac12\lim_{h\to0}\frac1{\cos2h}\times\lim_{h\to0}\frac{\sin2h}{2h}\times\lim_{h\to0}\frac{\sec^2(2x+3)}{1-\tan(2x+3)\tan2h}$

The first two limits are both 1, and the single term in the last limit approaches 0 as $h\to0$ , so you're left with

$f'(x)=\dfrac12\sec^2(2x+3)$

which agrees with the result you get from applying the chain rule.

7 0

2 years ago

Bicycle license plates in Flatville each contain three letters. The first is chosen from the set ({C,H,L,P,R}) the second from (

amm1812

$5\cdot3\cdot4=60$ - the current possible number of plates

after adding 2 letters into the 1st set:
$7\cdot3\cdot4=82$
after adding 2 letters into the 2nd set:
$5\cdot5\cdot4=100$
after adding 2 letters into the 3rd set:
$5\cdot3\cdot6=90$
after adding 1 letter into the 1st set and 1 into the 2nd set:
$6\cdot4\cdot4=96$
after adding 1 letter into the 1st set and 1 into the 3rd set:
$6\cdot3\cdot5=90$
after adding 1 letter into the 2nd set and 1 into the 3rd set:
$5\cdot4\cdot4=80$

<span>The largest possible number of plates after adding two numbers is 100.
So, </span><span>the largest possible number of additional plates is 100-60=40</span>

7 0

3 years ago

Find the median for the following set of numbers: <br> 12, 15, 15, 16, 19, 21, 25

Hoochie [10]

The median is the number in the middle of the data set.

There are 7 numbers, so the 4th number is the median.

(Another method is to eliminate a number on each side until you get to the middle number)

<h2>Answer:</h2>

<u>The median is </u><u>16</u><u>.</u>

I hope this helps :)

7 0

2 years ago

Read 2 more answers