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Oksana_A [137]
3 years ago
6

Element X decays radioactively with a half life of 9 minutes. If there are 760 grams of Element X, how long, to the nearest tent

h of a minute, would it take the element to decay to 19 grams?
Mathematics
2 answers:
ElenaW [278]3 years ago
8 0

Answer:

Step-by-step explanation:

760·0.5^(t/9) = 19

0.5^(t/9) = 19/760

2^(-t/9) = 0.025

-t/9 = log₂(0.025)

t = -9log₂(0.025) = 47.9 minutes

Kitty [74]3 years ago
4 0

Answer:

47.9 minutes

Step-by-step explanation:

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Which system of equations could be graphed to solve the equation below? log Subscript 0. 5 Baseline x = log Subscript 3 Baseline
Vanyuwa [196]

You can use the fact that two expressions in equality can be considered to be equal to a third variable(not used in given context).

The system of equations that could be graphed to solve the equation given is

  • y = \log_{0.5}(x)\\\\
  • y = \log_3(2+x)

<h3>How can we form a system of equations from an equation?</h3>

Suppose the equation be a = b\\

Let there is a symbol c such that we have a = b = c

It is because a and b are same measure (that is exactly what a = b means)

and we gave another name c to that measure.

Thus, we have

a = c\\b = c

in addition to  a = b\\

<h3>Using the above method to find the system of equations needed</h3>

Since the given equation is log_{0.5}(x) = log_2(2+x)

The 2d graphs are usually expressed as y = f(x) on X-Y plane.

Taking the equation's expressions equal to y, we get

log_{0.5}(x) = log_2(2+x) = y

or, we get system of equations as

y = log_{0.5}(x)\\\\y = log_3{(2 + x)}

Their graph is plotted below. The intersection point of both curves is the solution to the given equation as it satisfies both the equations of the system of equations formed from the given equation.

Thus,

The system of equations that could be graphed to solve the equation given is

  • y = \log_{0.5}(x)\\\\
  • y = \log_3(2+x)

Learn more about solutions to system of equations here:

brainly.com/question/14550337

4 0
3 years ago
Use the algebraic procedure explained in section 8.9 in your book to find the derivative of f(x)=1/x. Use h for the small number
Triss [41]

Answer:

By definition, the derivative of f(x) is

lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}

Let's use the definition for f(x)=\frac{1}{x}

lim_{h\rightarrow 0} \frac{\frac{1}{x+h}-\frac{1}{x}}{h}=\\lim_{h\rightarrow 0} \frac{\frac{x-(x+h)}{x(x+h)}}{h}=\\lim_{h\rightarrow 0} \frac{\frac{(-1)h}{x^2+xh}}{h}=\\lim_{h\rightarrow 0} \frac{(-1)h}{h(x^2+xh)}=\\lim_{h\rightarrow 0} \frac{-1}{x^2+xh)}=\frac{-1}{x^2+x*0}=\frac{-1}{x^2}

Then, f'(x)=\frac{-1}{x^2}

7 0
3 years ago
What is the product??
tangare [24]

Answer:

The answer to your question is the third choice

Step-by-step explanation:

To solve this problem, just multiply 6 by each of the numbers of the matrix and simplify.

            6   |  4  -2  1 |   =   | (6 x 4)   (6 x -2)   (6 x 1) |  

                 |  7   3   0|        | (6 x 7)   (6 x 3)    (6 x 0) |

                                    =   | 24   -12   6 |

                                         | 42    18    0 |

The first choice is wrong because only multiply by six the first row.

The second and fourth rows are incomplete.

7 0
3 years ago
PLEASE HELP I PROMISE I WILL MARK BRAINLIEST IF RIGHT ASAP.
Roman55 [17]

Answer:

1.8

Step-by-step explanation:

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Each chicken eats about 6 pounds of chicken feed in a month.how many pounds of chicken feed will be left after 3 months? Write a
NARA [144]
Dear Vegafred77, use 3x6=18 since a chicken eats 6 lbs of chicken.
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