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3 years ago

Can someone help me understand this?

Mathematics

2 answers:

ASHA 777 [7]3 years ago

4 0

< means 'less than'. 3.5 is less than 4.5, so A is correct. Since -4.5 is NEGATIVE it is less than 0. As for C, since both numbers are negative, it would be the seemingly 'smaller' number that is actually bigger. It may help to think of the numbers on a number line. In the negatives, the numbers start to go in reverse, so the further from 0 a negative number is, the smaller it is. -4.5 IS LESS than -3.5. All answers are correct.

dexar [7]3 years ago

3 0

I'm pretty sure that all of them are correct because 4.5 is greater than 3.5, 0 is greater than -4.5, and -3.5 is greater than -4.5.

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Evgesh-ka [11]

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3 years ago

Simplify: (3n2 +9+5n4 – 3n)+(-9n* - 7 -5n?)

Alona [7]

Answer:

3n^2+9+5n^4+55n

Step-by-step explanation:

Steps

$\left(3n^2+9+5n^4-3n\right)+\left(-9n\left(-7\right)-5n\right)$

$\mathrm{Remove\:parentheses}:\quad\left(a\right)=a,\:-\left(-a\right)=a$

$=3n^2+9+5n^4-3n+9n\cdot\:7-5n$

$\mathrm{Add\:similar\:elements:}\:-3n-5n=-8n$

$=3n^2+9+5n^4-8n+9\cdot\:7n$

$\mathrm{Multiply\:the\:numbers:}\:9\cdot\:7=63$

$=3n^2+9+5n^4-8n+63n$

$\mathrm{Add\:similar\:elements:}\:-8n+63n=55n$

$=3n^2+9+5n^4+55n$

7 0

3 years ago

According to postal regulations, a carton is classified as "oversized" if the sum of its height and girth (the perimeter of its

kotykmax [81]

Answer:

18" X 18" X 36"

Step-by-step explanation:

Given a square base container of height h, let a side of the base =s

The volume of the container, $V= s^2h$

If the sum of its height and girth (the perimeter of its base) equals 108 in

$4s+h = 108\\h = 108-4s$

Substituting h=108-4s into V

$V= s^2(108-4s)$

We are required to determine the maximum volume of such container, first we take the derivative:

$V'(s)= s(216-12s)$

Optimizing:

$s(216-12s)=0\\216-12s=0\\12s=216\\s=216 \div 12\\s=18$

Recall that: h = 108-4s

$h = 108-4(18)=108-72=36inch$

The dimensions of the carton are 18" X 18" X 36".

4 0

3 years ago

Need help with this asap, please

Lilit [14]

Answer:

<h3> Perimeter = 3√5 + 6 + √73 + √58 + 5√2</h3>

Step-by-step explanation:

$AB=\sqrt{(6-0)^2+(5-8)^2}=\sqrt{36+9}=\sqrt{45}=3\sqrt5\\\\BC=|-1-5|=|-6|=6\\\\CD=\sqrt{(-2-6)^2+(-4-(-1))^2}=\sqrt{64+9}=\sqrt{73}\\\\DE=\sqrt{(-5-(-2))^2+(3-(-4))^2}=\sqrt{9+49}=\sqrt{58}\\\\EA=\sqrt{(0-(-5))^2+(8-3)^2}=\sqrt{25+25}=\sqrt{25\cdot2}=5\sqrt2$

6 0

3 years ago

I don’t need you to explain just answer.

Mama L [17]

Answer:

-4 <x< -2

Step-by-step explanation:

you need to plot the line between -4 and -2

5 0

4 years ago