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alukav5142 [94]
3 years ago
8

A radioactive nuclide has a half-life of 10 days. At what rate does the substance decay each day?

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
6 0

Answer:

6.7% decrease each day

Step-by-step explanation:

Half life: 10 days

Fraction = 0.5^(t/10)

Where t is the no. of days

Per day: t = 1

0.5^(1/10)

0.9330329815 × 100 = 93.30329917

Decrease of: 100 - 93.30329917

= 6.696700846% each day

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Can someone please help me with this question? Thanks.
forsale [732]

Answer:

f(x) = 3 + 5x

Step-by-step explanation:

For this problem, we can see a simple pattern whereas x increases by 1, y is increasing by 5.

This means that f(0) = 3.

And to create the function, we simply use f(0) summed with the increasing 5 multiplied by the input x.

Hence, we will create the function equation:

f(x) = 3 + 5x

Cheers.

3 0
4 years ago
Help me with this plz no links
Kisachek [45]

Answer:

29,344.87 feet

Step-by-step explanation:

Tall Mountain is 8606.37 feet higher than Mt. Might. Let's replace the missing number with x.

Let's set up an equattion:

x = 20,738.5 + 8,606.37

Now let's solve the equation.

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Add feet after the answer.

29,344.87

6 0
2 years ago
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The following equation involves a trigonometric equation in quadratic form. Solve the equation on the interval [0,2π).
Effectus [21]

Answer:

\dfrac{\pi}{6}, \dfrac{5\pi}{6}, \dfrac{3\pi}{2}

Step-by-step explanation:

Given the quadratic equation as:

2sin^2x+sinx=1\\OR\\2sin^2x+sinx-1=0

Let us put sinx=y for simplicity of the equation:

Now, the equation becomes:

2y^2+y-1=0

Now, let us try to solve the quadratic equation:

\Rightarrow 2y^2+2y-y-1=0\\\Rightarrow 2y(y+1)-1(y+1)=0\\\Rightarrow (2y-1)(y+1)=0\\\Rightarrow 2y-1 = 0, y+1 = 0\\\Rightarrow y = \dfrac{1}{2}, y = -1

So, the solution to the given trigonometric quadratic equation is:

sinx = \dfrac{1}{2}

and

sinx=-1

Let us try to find the values of x in the interval [0, 2\pi).

sin\theta can have a value equal to \frac{1}{2} in 1st and 2nd quadrant.

So, x can be

30^\circ, 150^\circ\\OR\\\dfrac{\pi}{6}, \dfrac{5\pi}{6}

For sinx=-1,

x = 270^\circ\ or\ \dfrac{3 \pi}{2}

So, the answer is:

\dfrac{\pi}{6}, \dfrac{5\pi}{6}, \dfrac{3\pi}{2}

7 0
3 years ago
In how many ways can you
Sergeu [11.5K]

Answer:

3 r 4

Step-by-step explanation:

22/6= 3.6 recurring so we round down (3.6 → 3)

so 3 remainder 4.

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Photo math will help
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