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2 years ago

What is the error in the equation

Mathematics

1 answer:

dimulka [17.4K]2 years ago

4 0

Answer:

The fifth line contains the error.

Step-by-step explanation:

Line 1 is the equation.

Lines 2, 3, and 4 are correct.

The error is in the 5th line.

The square root of a negative number is not a real number, so if this problem is solved only with real numbers, there is no solution.

If imaginary numbers are allowed, then the last line should read:

$x = \pm\dfrac{i\sqrt{11}}{2}$

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Niklas takes a dose of 25 micrograms of a certain supplement each day. The supplement has a half life of 4 hours, meaning that 1

MrRa [10]

Answer:

The amount of the supplement in Niklas' body immediately after the 12th dose is 4.30 micrograms.

Step-by-step explanation:

Half life is the time required for an element to decay into half of its initial size. The supplement has a half life of 4 hours means that it decay to half of its size every 4 hours. Therefore there are 6 stages of division in a day.

i.e $\frac{1}{2}$ × $\frac{1}{2}$ × $\frac{1}{2}$ × $\frac{1}{2}$ × $\frac{1}{2}$ × $\frac{1}{2}$ = $\frac{1}{64}$

The amount of the supplement in Niklas' body after the first dose (first day) can be determined by;

= $\frac{1}{64}$ × 25

= 0.390625 micrograms

He used the supplement daily for 12 days (12th dose), but the amount of the supplement in his body immediately after the 12th dose would be;

amount in his body per day × number of period for complete decay

= 0.390625 × 11

= 4.296875

The amount of the supplement in Niklas' body immediately after the 12th dose is 4.30 micrograms. This is because immediately after the 12th dose, the supplement has not reach its half life.

3 0

3 years ago

Jenna is buying four new shirts at $20 each. Which of the following is NOT a way to write a calculation for how much money Jenna

suter [353]

Answer:

20/4

Step-by-step explanation:

Because that would mean 20 divided by 4 which wouldn't accumulate to 80

8 0

3 years ago

I forgot how to divide

atroni [7]

Set up the equation. On a piece of paper, write the dividend (number being divided) on the right, under the division symbol, and the divisor (number doing the division) to the left on the outside. ...

Divide the first digit.

Divide the first two digits.

Enter the first digit of the quotient.

(See image attached for an example)

6 0

3 years ago

Read 2 more answers

X/-2 - 4 < 2 <br> what is x?

Jet001 [13]

Answer:

x>-12

Step-by-step explanation:

x/-2-4<2

x/-2<2+4

x/-2<6

x<6(-2)

x<-12

x>-12

5 0

3 years ago

Which equation is represented by the graph below?

DIA [1.3K]

<h2>Hello!</h2>

The answer is:

The equation that is represented by the shown graph is the equation from the option D.

$y=e^{x}-4$

Since we are given two types of functions, exponential and logarithmic, we need to remember that there is just an option that matches with the graph.

So, from the graph we can see that we are looking for an exponential function which intercepts are located at the point (0,-3) and a point which y-coordinate is equal to 0 and its x-coordinate is located at the x-axis between the number 1 and 2.

From the given options we can see that the only exponential function that intercepts the function at y equal to -3 is the fourth option, so, let's prove that:

Option D,

$y=e^{x}-4$

Finding the y-intercept, we need to make "x" equal to 0, so:

$y=e^{x}-4$

$y=e^{0}-4$

$y=1-4=-3$

So, we know that the y-intercept point is located at (0,-3)

Finding the x-intercept, we need to make "y" equal to 0, so:

$0=e^{x}-4$

$e^{x}=4$

$ln(e^{x})=ln(4)\\x=ln(4)=1.386$

So, we know that the x-intercept point is located at (1.386,0)

Hence, we have that the axis interception points are (0,-3) and (1.386,0), so, the function that matches with the shown graph is the function from the option D.

$y=e^{x}-4$

Have a nice day!

Note: I have attached a picture for better understanding.

6 0

3 years ago

Read 2 more answers