MATHEMATICS MIDDLE SCHOOL

A. Centipedes have 2 legs per segment. They can have from 30 to 354 legs. Find a range for the number of segments a centipede can have.B. Millipedes have 4 legs per segment. The record number of legs on a millipede is 752. How many segments did this millipede have?

C. There are about 6 billion humans in the world. Scientists estimate that there are a billion billion arthropods in the world. About how many times larger is the
arthropod population than the human population?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

A. 162

B: 188

C: 5,000,000,000

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A supermarket has found that 60% of their customers spend more than $75 each visit. Whats the probability that the next 2 customers will each spend more than $75? ×

Answers

Answer: 0.36 or 36%
60%=60/100=0.6

60% is the same as saying 60/100 or 0.6

To solve for the probability of this problem, we have to, multiply the odds of the two separate events together

event1 is a customer that spends more than 75$. The odds of that happening are .6

event 2 is a customer that spends more than 75$. The odds of that happening are .6

probability=event1*event2
probability=.6*.6
probability=.36 or 36%

What is the nth term in the sequence:
4, 7, 12, 19, 28
Please show working out

Answers

The correct answer is n²+3.

Explanation:
We find the first differences between terms:
7-4=3; 12-7=5; 19-12=7; 28-19=9.

Since these are different, this is not linear.

We now find the second differences:
5-3=2; 7-5=2; 9-7=2.

Since these are the same, this sequence is quadratic.
We use (1/2a)n², where a is the second difference:
(1/2*2)n²=1n².

We now use the term number of each term for n:
4 is the 1st term; 1*1²=1.
7 is the 2nd term; 1*2²=4.
12 is the 3rd term; 1*3²=9.
19 is the 4th term; 1*4²=16.
28 is the 5th term: 1*5²=25.

Now we find the difference between the actual terms of the sequence and the numbers we just found:

4-1=3; 7-4=3; 12-9=3; 19-16=3; 28-25=3.

Since this is constant, the sequence is in the form (1/2a)n²+d;
in our case, 1n²+d, and since d=3, 1n²+3.

Answer:

The nth term in the given sequence will be:

$n^2+3$

Step-by-step explanation:

We are given a sequence as:

4,7,12,19,28,....

Let $a_n$ represents the nth term in the sequence.

i.e. $a_1=4\n\na_2=7\n\na_3=12\n\na_4=19\n\na_5=28$

i.e. these terms could also be written as:

$a_1=(1)^2+3\n\na_2=(2)^2+3=7\n\na_3=(3)^2+3=12\n\na_4=(4)^2+3=19\n\na_5=(5)^2+3=28\n\n.\n.\n.\n.\n.\n.\n.a_n=(n)^2+3=n^2+3$

Hence the nth term in the given sequence will be:

$n^2+3$

Sally's cat is stuck in a tree 18 ft off the ground. The base of a ladder is placed 6 feet away from the base of the tree. What is the minimum length ladder needed to reach the cat (rounded to the nearest foot)?

Answers

The ladder at least needs to be 24 ft long

Inthink it's -18 if I ain't mistaken

Could the points (-4,3), (-1,1) and (1,3) form the vertices of a right triangle? Why or why not?

Answers

Answer:

The given points of triangle do not form a right triangle because they are satisfying the property of right angle triangle.

Step-by-step explanation:

Given : The points (-4,3), (-1,1) and (1,3)

To find : Could the points form the vertices of a right triangle? Why or why not?

Solution :

First we find the distance between the points so that we get the length of the sides.

Let, A=(-4,3), B=(-1,1), C=(1,3)

Distance formula is

$d=√((x_1-x_2)^2+(y_1-y_2)^2)$

The distance between point A and B

$|AB|=√((-4+1)^2+(3-1)^2)=√(9+4)=√(13)$

The distance between point B and C

$|BC|=√((-1-1)^2+(1-3)^2)=√(4+4)=√(8)$

The distance between point A and C

$|AC|=√((-4-1)^2+(3-3)^2)=√(25+0)=5$

According to property of triangle,

If the square of larger side of triangle is equating to the sum of square of smaller side $a^2=b^2+c^2$ the triangle is right triangle .

Larger side of the triangle is AC=5 unit and smaller sides are $AB=√(13)$ and $BC=√(8)$

$AC^2=AB^2+BC^2$

$5^2=√(13)^2+√(8)^2$

$25=13+8$

$25\neq21$

So, The given points or the vertices of triangle do not form a right triangle because they are satisfying the property of right angle triangle.

$A=(-4,3),B=(-1,1),C=(1,3)\n |AB|=√((-4+1)^2+(3-1)^2)=√(9+4)=√(13)\n |BC|=√((-1-1)^2+(1-3)^2)=√(4+4)=√(8)\n |AC|=√((-4-1)^2+(3-3)^2)=√(25+0)=5\n L=√(13)^2+√(8)^2=13+8=21\neq5^2\neq\ R$

It's impossible to form right triangle using thes points.

-9(x+3)=18
SOLVE THE EQUATION.
WILL GIVE BRAINLIST AND THANKS

Answers

Answer:

x = -5

Step-by-step explanation:

-9(x+3) = -9x-27

Add 27 onto both sides and get -9x = 45

Divide -9 on both sides and you'll see that x = -5 because 45/-9

Answer: X=-5 distribute the -9 to x and 3 move the 3 over to the 18 and - 18-3 then dived -9x/15

~ALGEBRA! PLEASE HELP!~Austin is climbing on a ladder that is attached against the side of a jungle gym wall. He is 5 feet off the ground and 3 feet horizontally from the base of the ladder, which is 15 feet from the wall. How high up the wall is the top of the ladder?
~Please show work :)

Answers

so I get it now!

so he is currently 5 feet vertically form the wall
he is currently 3 feet horizonatlly from the wall
the ladder's base is 15 total feet from the wall

height:base=5:3

to find the total height
x:15
multiply 5:3 by 5
25:15

so the top of the ladders's vertical height is 25 feet

so the answer is the ladder is 25 feet from the ground

Answer:23

Step-by-step explanation:ok

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