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Rama09 [41]
2 years ago
6

a cube is dilated by a scale factor of 3/4 to create a new cube. what is the surface area of the new cube.

Mathematics
2 answers:
jeka57 [31]2 years ago
7 0

Answer:

9/16

Step-by-step explanation:

i took the test ;)

leonid [27]2 years ago
6 0

Answer: 9/16

Step-by-step explanation:

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Write 8 * 10^-7 in standard form<br> 8*10^-7 =____
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Answer:

  • 0.0000008

Step-by-step explanation:

<u>Given</u>

  • 8*10^-7

<u>Converted to standard form</u>

  • 8*10^-7 = 8*0.0000001 = 0.0000008
4 0
3 years ago
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How do you write -4 1/5 as an improper fraction
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-21/5

Multiply 4 and 5, add 1
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Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks​
Iteru [2.4K]

Let

P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

P(1):\ 1 = \dfrac{1\cdot 2}{2}=1

So, the base case is ok. Now, we need to assume P(n) and prove P(n+1).

P(n+1) states that

P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}

Since we're assuming P(n), we can substitute the sum of the first n terms with their expression:

\underbrace{1+2+\ldots+n}_{P(n)}+n+1 = \dfrac{n(n+1)}{2}+n+1=\dfrac{n(n+1)+2n+2}{2}=\dfrac{n^2+3n+2}{2}

Which terminates the proof, since we showed that

P(n+1):\ 1+2+\ldots+n+(n+1) =\dfrac{n^2+3n+2}{2}

as required

4 0
3 years ago
A rectangular prism has a length of 13 feet, a height of 2 feet, and a width of 4 feet. what is its volume, to the nearest, in c
ioda

Answer:104ft^3

Step-by-step explanation:

volume=length x width x height

Volume=13 x 4 x 2

Volume=104ft^3

5 0
3 years ago
Point Q is located at (-4, 6). Point R is located at (8, 6) What is the distance from point Q to point R?
Stels [109]

Answer:

12 units

Step-by-step explanation:

Notice that as we go from Q to R, x (the horizontal distance) increases by 12 and y (the vertical distance) does not change.  Thus, the distance between the two points is merely the horizontal distance, 12 units.

8 0
3 years ago
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