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3 years ago

Prove that 2^n > n^2 if n is an integer greater than 4

Mathematics

1 answer:

Tom [10]3 years ago

8 0

◆ Principle of Mathematical Induction ◆

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Need help on this equation its on the paperclip

s344n2d4d5 [400]

Answer:

Blank 1: 1 Blank 2: 8 Blank 3: 72

Step-by-step explanation:

What it is basically saying is that 9*8 is equal to 10*8 - 1*8 [Blank 1]. 10 times any number is a friendly number, it all ends with a 0. The question is saying that it is easier to think of a friendly number and subtracting from that. 10 eights - 9 eights is equal to 1 eight. So we take away 1*8=8 from 10*8=80, or in other words, 80-8 [Blank 2]= 9*8=72 [Blank 3].

Are you starting to see what I mean?

3 0

4 years ago

The slope of this line is (-12,10) and (-10,6)

Oksi-84 [34.3K]

Answer:

Slope is -2

Step-by-step explanation:

(y2-y1) / (x2-x1)

(6-10) / (-10+12) = (-4)/(2) = -2

7 0

3 years ago

Read 2 more answers

What is the slope of the line with the equation of y = =*

White raven [17]

C.) 2/3 hope it’s correct good luck

8 0

3 years ago

Two straight lengths of wire are placed on the ground, forming vertical angles. If the measure of one of the four angles formed

vitfil [10]

We have
angle 1= $72 degrees$

see the attached picture to better understand the problem

we know that
Vertical angles are congruent
 $angle1=angle3 \\ angle2=angle4$

and

adjacent angles are supplementary
 $angle2+angle1=180 \\ angle3+angle4=180$

if the measure of one of the angles is $72$ degrees and straight lines equal $180$ degrees you have to
subtract $72$ from $180$
so
$angle 2=180-72 \\ angle 2=108 degrees$

therefore
$angle 3=amgle 1 \\ angle 3=72 degrees$

$angle 4=amgle 2 \\ angle 4=108 degrees$

the answer is

the measures of the other three angles are
$108, 108 and 72 degrees$

5 0

3 years ago

Read 2 more answers

A freight elevator has a weight limit of 2 tons. each crate that is loaded weighs 80 pounds. what is the greatest number of crat

Snezhnost [94]

step 1
convert pounds to ton
1 ton------> 2204.62 lb
each crate weighs 80 pounds
so
by proportion
1/2204.62=x/80
x=80/2204.62-----> x=0.036 ton
each crate weighs 0.036 ton

step 2
divide 2 ton by 0.036
2/0.036=55.11 crate----------> 55 crate

the answer is
the greatest number of crates that can be loaded onto the elevator is 55

alalternative method
step 1
convert ton to pounds
1 ton------> 2204.62 lb
a freight elevator has a weight limit of 2 ton
2 *2204.62 -----> 4409.24 lb

step 2
each crate weighs 80 pounds
divide 4409.24 by 80
4409.24/80=55.11 crate----------> 55 crate

3 0

4 years ago