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3 years ago

Find each percent change 40 to 2

Mathematics

1 answer:

Nostrana [21]3 years ago

3 0

The question we need to ask is what percent of 2 is 40?

40 is 20 times 2 so 20 would be 2,000%

We need to subract 100% from any percent change:

2,000% - 100% = 1,900%

ANSWER: 1,900%

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Consider the sequence defined recursively by do = 0, an = an-1 + 3n – 1. a) Write out the first 5 terms of this sequence,

creativ13 [48]

Answer:

The first 5 terms of the sequence is 2,7,15,26,40.

Step-by-step explanation:

Given : Consider the sequence defined recursively by $a_0=0$ $a_n=a_{n-1}+3n-1$

To find : Write out the first 5 terms of this sequence ?

Solution :

$a_n=a_{n-1}+3n-1$ and $a_0=0$

The first five terms in the sequence is at n=1,2,3,4,5

For n=1,

$a_1=a_{1-1}+3(1)-1$

$a_1=a_{0}+3-1$

$a_1=0+2$

$a_1=2$

For n=2,

$a_2=a_{2-1}+3(2)-1$

$a_2=a_{1}+6-1$

$a_2=2+5$

$a_2=7$

For n=3,

$a_3=a_{3-1}+3(3)-1$

$a_3=a_{2}+9-1$

$a_3=7+8$

$a_3=15$

For n=4,

$a_4=a_{4-1}+3(4)-1$

$a_4=a_{3}+12-1$

$a_4=15+11$

$a_4=26$

For n=5,

$a_5=a_{5-1}+3(5)-1$

$a_5=a_{4}+15-1$

$a_5=26+14$

$a_5=40$

The first 5 terms of the sequence is 2,7,15,26,40.

5 0

3 years ago

Use exterior angles to show that the angle sum of quadrilateral PQRS is 360°.

Shkiper50 [21]

Answer:

I don't really know but one triangle is 180 degrees so two added together is 360 degrees...

but ohh I remembered

a=c+d (since a+b=180 and c+d+b=180)

e=g+h (since e+f=180 and g+h+f= 180)

and the fact is that c+d+g+h+b+f=the angle sum of quadrilateral PQRS

a+e+b+f= the angle sum of quadrilateral PQRS (by substitutions)

a+e+b+f=360 (four angles are from one origin so it's 360 degrees )

8 0

3 years ago

Sketch the net of the following figure on a sheet of paper and describe in words what is would look like.

tatiyna

The net would look like a square surrounded with four triangles, one on each side.

3 0

3 years ago

A plane is scheduled to complete a 1,792-mile flightin 3.5 hours. In order to complete the trip on time, what should be the plan

deff fn [24]

Answer:

512 mph

Step-by-step explanation:

The relevant relation is ...

speed = distance/time

speed = 1792 mi/(3.5 h) = 512 mi/h

The plane's average rate of speed should be 512 miles per hour.

5 0

3 years ago

Helpmeeee please!!!!!

Akimi4 [234]

Answer:

Step-by-step explanation:

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3 years ago