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Dovator [93]
3 years ago
12

Which statement is correct?

Mathematics
2 answers:
Alina [70]3 years ago
7 0
<h3>Answer: </h3>

Option C: (2.06 × 10^-2)(1.88 × 10^-1) > 7.69 × 10^-2 / 2.3 × 10^-5

--

2.06 × 10^-2 = 206

1.88 × 10^-1 = 18.8

206 × 18.8 = 3,872.8

-

7.69 × 10^-2 = 769

2.3 × 10^-5  = 230,000

769 ÷ 230000 = ‭0.00334347826086956521739130434783‬

-

3,872.80 > 0.00334347826086956521739130434783‬

RUDIKE [14]3 years ago
4 0

Answer:

C

Step-by-step explanation:

(2.06 times 10 Superscript negative 2 Baseline) (1.88 times 10 Superscript negative 1 Baseline) is rounded to 3.9

StartFraction 7.69 times 10 Superscript negative 2 Baseline Over 2.3 times 10 Superscript negative 5 Baseline EndFraction  is rounded to 3.3

3.9 > 3.3

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If p is the smallest of four integers, what is their sum interms of P​
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Answer:

If  p  is the smallest of  n  consecutive integers of the same sign than we have  p ,  p+1 ,  p+2 ,  … ,  p+(n−1) ,

So the sum is

∑k=0n−1(p+k)=∑k=0n−1p+∑k=0n−1k=np+n2−n2  

Here  n=4  

So we have  4p+6  

And checking

p+(p+1)+(p+2)+(p+3)=4p+6  

Note if  p=−v  

Than you have the same thing as if  p=v−n+1  just negative for example  3  consecutive integers the smallest is  −5  so the sum is  −5+(−4)+(−3)=3×−5+32−32=−15+3=−12  

On the other hand:

−(3+4+5)=−(3×3+32−32)=−(9+3)=−12  

If  p=−v  the sum of next  v+1  integers is  −(∑k=0vk)=−(v2+v2)  

Than needs an other  v  integers to bring it up to  0  again. From there it is

∑k=0hk=h2+h2  

Where  h=n−(2v+1) .

So recap if  p  is the smallest of  n  consecutive integers their sum is

p+(p+1)+(p+2)+…+(p+(n−1))=⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪np+n2+n2−(n|p|+n2+n2)((n−|p|)2+(n−|p|)2)−(|p|p+|p|2+|p|2)((n−|p|)2+(n−|p|)2)n≥0p<0∧n<|p|+1p<0∧|p|<n<2|p|+1p<0∧n>2|p|+1

Step-by-step explanation:

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On a piece of paper, graph y&gt;x-1. Then determine which answer choice
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The graph that matches the given equation is y≥x-1 is Graph A.

Option: C.

<u>Step-by-step explanation:</u>

The given equation y≥x-1 is a linear inequality equation.

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  1. First, rearrange the equation as y in the left and other terms in the opposite side.
  2. Check for the line: y= , y≤ and y≥ comes with straight line where as y< and y> comes with a dotted line.
  3. Shading: If y> greater than or y≥ greater than or equal is present then the space above the line has to be shaded. If y< less than or y≤ less than or equal  is present then the space below the line has to be shaded.

For the given equation y≥x-1,

The line will be solid passing through (0,-1) and (3,2) since it has y≥. Also, the region above the line is shaded.

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\left(\begin{array}{ccc}n\\k\end{array}\right)=\frac{n!}{k!(n-k)!}

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330 ways






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4 years ago
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