0.8% as a decimal and fraction.

Answers

Answer 1
Answer: Step 1: 0.8 = 8⁄10 
Step 2: Simplify 8⁄10 = 4⁄5 

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Solve for x

2x+1=11

provide explanation please

Answers

Answer:

x=5

Step-by-step explanation:

2x+1=11

   -1   -1

2x=10

---------

2    2

x=5

Answer:

x = 5.

Step-by-step explanation:

2x + 1 = 11

Subtract 1 from both sides:

2x = 11 - 1 =10

Divide both sides by 2:-

x = 10/2

x = 5.

The volume of a sphere is 500
3
πcm3. What is the radius?

Answers

Answer:

Step-by-step explanation:

The volume of a sphere is 500 3 πcm3. what is the radius? sphere v = 4 3 πr3 1. substitute value into formula:   500 3 π = 4 3 πr3 2. undo multiplication of 4 3 :     125π = πr3 3. undo multiplication of π:     125 = r3 4. undo cube:          3√125 = r the radius of the sphere is 6 ⇒ 5 cm

Answer:

about 4.9 cm

Step-by-step explanation:

The equation for the volume of a sphere is V= (4)/(3)\pi r^3 . So, to solve this problem we will plug in 500 for V and solve for the radius, r.

  1. 500= (4)/(3) \pi r^3
  2. Multiply both sides by 3: 1500=4\pi r^3
  3. Divide both sides by 4: 375=\pi r^3
  4. Divide both sides by \pi: (375)/(\pi ) =r^3
  5. Find the cubed root of both sides: 4.9237=r
  6. The radius is about 4.9 cm

150% of 66(Need the work shown)

Answers

Change 150% into a decimal by multiplying it by 100.
150(100)= 1.50
Now multiply 1.50(66)= 99
66 is the 100%
we can solve this problem by the rule of three.

Therefore:
66------------------------100%
x--------------------------150%

x=(66 * 150%) / 100%=99

Answer 150% of 66 is 99.

Other method:
150% of 66=1.5 *66=99

Answer: 150% of 66 is 99.

Write the number 45,000,000 in scientific notation. Thanks! (May you please leave an explanation along with the answer so that I can understand how to do other questions like this?)

Answers

4.5 times (ten to the power of 7) In scientific notation you have to always add 10 to the power of something times a number. The number has to be between 0 and 10.
4.5 to the 7th power

7) Given that Sn=3-2^(-4n)is the sum of the first n terms of a sequence.
Un is the n term.
a) Express Un+1 in terms of n.
b) Deduce that the
sequence is a geometric progression.

Answers

Answer:

Step-by-step explanation:

s_(n)=3-2^(-4n)\ns_(n+1)=3-2^(-4(n+1))=3-2^(-4n) *2^(-4)\ns_(n+1)-s_(n)=3-2^(-4n)*2^-4-3+2^(-4n)

=2^(-4n)-2^(-4n)*2^(-4)\n=2^(-4n)(1-2^(-4))\n=2^(-4n)((2^4-1)/(2^4))\n=2^(-4n)(15)/(16)\nU_(n+1)=15*2^(-4(n+1))

How many 84s are in 672

Answers

There are 8 times 84s that are present in 672.

How can we interpret the division?

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.

We need to find how many 84s are present  in 672

We will simply divide the 84 by 672.

That is;

672/ 84

= 336/42

= 168/21

= 8

Hence, there are 8 times 84s that are present in 672.

Learn more about division here:

brainly.com/question/26411682

#SPJ2

all you need to do is Divide 84 from 672.