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2 years ago

13

Element X decays radioactively with a half life of 15 minutes. If there are 340 grams of Element X, how long, to the nearest ten

th of a minute, would it take the element to decay to 6 grams?

1 answer:

NikAS [45]2 years ago

6 0

Answer: 57 min

i used a calculator.

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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

xz_007 [3.2K]

Answer:

am i suppoesd to do number 7 as well?

Step-by-step explanation:

Two wires

tether a balloon to the ground, as shown. How

high is the balloon above the ground? (Must Use Right

Triangle Trigonometry)

look at picture

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3 years ago

Mary has 40% fewer marbles than Jolie. If they combine all their marbles in a single bag, what percent of the marbles in the bag

dedylja [7]

The easiest way to do this would be to imagine that Jolie has 100 marbles. If Mary has 40% fewer, that means she has 60 marbles. Then if they combine all their marbles into a single bag, they will have 160 marbles, of which 100 are Jolie's. So the % that is Jolie's is 100/160 = 0.625 = 62.5%.

4 0

3 years ago

Exponential expression please help

Lelechka [254]

${3}^{ - 2} = \frac{1}{9}$

8 0

3 years ago

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Branda and Laurie have rectangular shaped backyards. Branda's yard measures 35 feet by 90 feet. Laurie's yard measures 40 feet b

tia_tia [17]

To find the area of each backyard, we need to multiply the length and width together.

For Branda, her yard is 35 by 90, which means the area is 35*90 which = 3150.

For Laurie, her yard is 40 by 65, which means the area is 40*65 which = 2600.

Now, we are asked to find the difference between Branda and Lauries yard areas. The difference means how much larger Branda's area is than Lauries.

This means we have to subtract Laurie's area from Branda's.

So, we do 3150 - 2600 = 550

So, our answer is 550ft^2

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3 years ago

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