Situation: a 25 gram sample of a substance that’s used for drug research has a K-value of 0.1205N0(zero)= initial mass(at time t=0)
N= mass at time t
K= a positive constant that depends on the substance itself and on the units used to measure time
t= time, in days
Find the substances half-life, in days. Round your answer to the nearest tenths????

Answers

Answer 1

Answer: The decay model is given as

$N=N_0e^(-Kt)$

The substance's half-life is the time it takes for the substance to decay to half its original amount. In other words, it's the time $t$ such that $N=\frac{N_0}2$ . Substituting into the model, you have

$\frac12=e^(-Kt)$

You can solve for $t$ now.

$\frac12=e^(-Kt)$
$\implies\ln\frac12=\ln e^(-Kt)$
$\implies-\ln2=-Kt\ln e$
$\implies\frac{\ln2}K=t\approx5.7523\text{ days}$

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The number that appears most often in a given set of data is called the ______.

Answers

Answer: Mode

For instance, the mode of the set {1,2,3,5,4,4,6,4,8,4,4,7,4} is 4 because it shows up the most compared to the other values. Making a frequency table can be helpful to determine the mode.

Final answer:

In statistics, the most recurring number in a data set is identified as the mode. It is calculated by identifying the frequency of each number in the data set. A data set may have one mode, no mode, or more than one mode.

Explanation:

The number that appears most often in a given set of data is called the mode. The mode is an important concept of statistics and helps in identifying the most frequent value in a data set. There can be more than one mode for a data set if they have the same frequency, which is the number of times a value appears in the data set. For example, in a data set of [2, 3, 3, 5, 5], both 3 and 5 are modes because they appeared twice each, which is more frequently than any other number in the data.

In some cases, the data set might have no mode when no number repeats or two modes, which will then be referred to as bimodal.

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73/260 73 is what percent of 260. also 42/220 42 is what percent of 220. please help.

Answers

73 = x(260). Translate the word "is" as equals, and "of" as multiply. Divide both sides by 260 (as you already did): 73/260 = x

73/260 = 28%. (Move the decimal point two positions to the left).

42/220 = 19%.

Is 4xy + 2y = 9 linear ? If yes write the equation in standard form & determine the x & y interests

Answers

no it is not. if that y by the x wasn't there then yes it would be

Final answer:

Yes, the equation 4xy + 2y = 9 is linear. Its standard form is 4xy + 2y - 9 = 0. The x-intercept is (2.25, 0) and the y-intercept is (0, 4).

Explanation:

Yes, the equation 4xy + 2y = 9 is linear. To write it in standard form, we can rearrange the terms to bring them all to one side of the equation:

4xy + 2y - 9 = 0

The x and y intercepts can be determined by setting either x or y to 0 and solving for the other variable. Let's set x = 0:

2y - 9 = 0

Solving for y, we get y = 4. So the y-intercept is (0, 4).

Next, let's set y = 0:

4x + 0 - 9 = 0

Solving for x, we get x = 2.25. So the x-intercept is (2.25, 0).

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90 is decreased to 81

Answers

Answer:

17.1%

Step-by-step explanation:

17.1%

-1 TIMES the ABSOLUTE VALUE of -24 =
will give brainliest !!!!!

Answers

Answer:

-24

Step-by-step explanation:

absolute value of -24 would make it +24

-1 times 24 is -24

Answer: -24

Step-by-step explanation:

The absolute value of a number is how far away the said number is from zero, so -24's would be 24.

24 x -1 = -24

Solve x^2 - 8x + 3 = 0 by completing the square. Which equation is used in the process? (x - 4)^2 = 0 (x - 4)^2 = 13 (x - 4)^2 = 19 Match the following items by evaluating the expression for x = -3

Answers

Answer:

(x -4)^2 = 13

Step-by-step explanation:

To solve this equation using the completing the square method;

x^2 - 8x + 3 = 0

The first step is to take +3 to the right-hand side of the equation, 3 becomes negative when it crosses over the equality sign.

The equation becomes;

x^2 - 8x = -3

The next step is to add square of half of the coefficient of x to both-side of the equation. That is; you will add (-4)^2 to both-side of the equation.

x^2 - 8x + (-4)^2= -3 + (-4)^2

Then, we factorize the left hand side of the equation and our equation

(x - 4)^2 = -3 + (-4)^2

The we simplify the right-hand side of the equation

(x - 4)^2 = -3 + 16

(x - 4)^2 = 13

Hello,
Answer B

x²-8x+3=0
==>x²-2*4*x+16-13=0
==>(x-4)²=13

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