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Cloud [144]
3 years ago
14

How many atoms are in 115 grams of calcium

Mathematics
1 answer:
Keith_Richards [23]3 years ago
7 0
<span> 6.022 x 1023 i think thats how much 

</span>
You might be interested in
Find the shortest distance, d, from the point (5, 0, −6) to the plane x + y + z = 6.
DENIUS [597]

Answer:

\frac{7}{\sqrt{3}}

Step-by-step explanation:

The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:

d = |\frac{(ma + nb + tc - r)}{\sqrt{m^2 + n^2 + t^2}} |                   --------------------(i)

From the question,

the point is (5, 0, -6)

the plane is x + y + z = 6

Therefore,

a = 5

b = 0

c = -6

m = 1

n = 1

t = 1

r = 6

Substitute these values into equation (i) as follows;

d = |\frac{((1*5) + (1*0) + (1 * (-6)) - 6)}{\sqrt{1^2 + 1^2 + 1^2}} |

d = |\frac{((5) + (0) + (-6) - 6)}{\sqrt{1 + 1 + 1}} |

d = |\frac{(-7)}{\sqrt{3}} |

d = \frac{7}{\sqrt{3}}

Therefore, the shortest distance from the point to the plane is  d = \frac{7}{\sqrt{3}}

5 0
3 years ago
Find x if L is between N and M, and NL = (6x - 5), LM = (2x + 3), and NM = (3x+13)?
anastassius [24]

Answer:

x = 3

Step-by-step explanation:

Here, we want to find the value of x

By mathematical convention;

NM = NL + LM

Now, substitute individual values

3x + 13 = (6x-5) + (2x + 3)

3x + 13 = 6x-5 + 2x + 3

3x + 13 = 8x -2

Collect like terms

8x -3x = 13 + 2

5x = 15

x = 15/5

x = 3

3 0
3 years ago
The perimeter of a rectangular table is 8 m.
ipn [44]

Answer:

The side lengths are 1.5m and 2.5m.

Step-by-step explanation:

8 0
3 years ago
For what value of x would the expression below be undefined? 6x − 9 x − 5
Marina86 [1]
6x - 9x - 5 =

combine like terms

6 - 9 = - 3

- 3x - 5 = 

leave x by itself

- 3x - 5 = 
+3x
___
  0
       - 5 = 3x

solve for x (division)

        
- 5 = 3x
       ___
         3
-5/3 = x         OR         x = -5/3
3 0
3 years ago
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros −3 and 5
love history [14]

Answer:

<em>f(x) = x² (2+i)x-15-3i</em>

Step-by-step explanation:

Since the zeros of the equation are -3 and 5+i, hence the factors of the polynomial in x is (x+3) and (x-(5+i))

Multiplying both factors

f(x) =  (x+3)(x-(5+i))

f(x) = (x²-(5+i)x+3x -3(5+i))

f(x) = x² - (5+i- 3)x -15-3i

f(x) = x² (2+i)x-15-3i

<em>hence the required polynomial function in x is f(x) = x² (2+i)x-15-3i</em>

7 0
3 years ago
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