At Time Zero, There Are 10.0 Grams Of W - 187. If The Half - Life Is 23.9 Hours, How Much Will Be Present (2024)

Answer:

Step-by-step explanation:

D11 => (-2)-(-2) = 0

D12 => (-4)-(-2)=-2

D13=>(2)-(-2) = 4

D21 => (0)-(4) = -4

D22 => (6)-(4) = 2

D23 => (4)-(4) = 0

The linear equation best describes the given model is the link between the amount of time spent and the distance traveled is proportional once the model has been fitted.

The average number of hours spent throughout the course of the specified number of hours can be determined using a line of fit.

We draw a line of fit central fit and aim for similar centrality as that similar results of the mean with one additional consideration, namely weather conditions including data. We suggest that if there is nothing to weigh the line of fit to a balancing outcome that shows the opposite of kilometres walked then it may just alter the line by a small fraction of how many treks he completed, but not in data less than 30 entries.

When the line is fitted, it will follow the equation for a straight line.

A straight line's general equation is stated as y = mx + c, where m is the line's slope and c is the y-intercept.

Y is the distance traveled, while T is the amount of time.

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The probability of P given K, is 82.6%.

The conditional probability of event B is the probability that the event will occur given the knowledge that event A has already occurred. This probability is written P(B|A), a notation for the probability of B given A. In the case where events A and B are independent (where event A has no effect on the probability of event B), the conditional probability of event B given event A is simply the probability of event B, that is P(B).

Here we have P(k)=2.3% =[tex]\frac{2.3}{100}[/tex]

P(p)=8.6% and P(p∩k)=1.9% ( ∩, this symbol means intersection)

So, for the probability of P given K,

P([tex]\frac{p}{k}[/tex]) = 1.9/2.3 = .828 = 82.8%

Thus, the probability of P given K is 82.6%.

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Answer:

[tex] |6| = | - 6| [/tex]

Step-by-step explanation:

[tex] |6| = | - 6| \\ 6 = - ( - 6) \\ 6 = 6[/tex]

Answer:

y = 75 x

Step-by-step explanation:

y is the total amount in his account. Every month it increases $75

x = the number on months

y = 75x After 3 months

y = 75(3)

y = 225

The polynomial expressions (-4p2 - 9p + 11) and (p2 - 5p + 4) are subtracted to provide 5p2 + 4p - 7.

From (p2 - 5p + 4) deduct (-4p2 - 9p + 11).

⇒ (p² - 5p + 4) - (-4p² - 9p + 11)

If we condense the phrase, we have

⇒ p² - 5p + 4 + 4p² + 9p - 11

⇒ 5p² + 4p - 7

The polynomial expressions (-4p2 - 9p + 11) and (p2 - 5p + 4) are subtracted to provide 5p2 + 4p - 7.

Algebra is the study of mathematical symbols, and logic is the manipulation of those symbols.One of the earliest areas of mathematics that deals with number theory, geometry, and analysis is algebra. Algebra is also defined as the study of mathematical rules and symbols through the manipulation of those mathematical symbols.

It only denotes taking something away from a person, place, item, etc. Subtraction is the process of removing something from a group or list of possibilities.

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Answer:

The area is 11.7cm²

The perimeter is 14.9cm

Step-by-step explanation:

AREA OF A RECTANGLE

A = L × B

A =

[tex]2 \frac{1}{4} \times 5 \frac{1}{5} [/tex]

A =

[tex] \frac{9}{4} \times \frac{26}{5} [/tex]

A = 234/20

A = 11.7cm²

PERIMETER OF A RECTANGLE

P = 2(L + B)

P =2( 2¼ + 5^1/5)

P = 2(9/4 + 26/5)

P = 2(

[tex] \frac{45 + 104}{20} = \frac{149}{20} [/tex]

P = 2(149/20)

p = 298/20

p = 14.9cm

i hope this helps

In the provided triangle, there are a total of 12 lengths for TP.

What is a triangle?

A triangle is a polygon with three edges and three vertices.

It belongs to the basic geometric shapes.

A triangle having vertices A, B, and C is known as triangle ABC.

Any three locations in Euclidean geometry that are not collinear result in a distinct triangle and a distinct plane.

So, triangles TIP and TOP have sides and are isosceles triangles;

TI = 5, PI = 7, PO = 11,

The length of segment TP will therefore be equal to either segment TI's or segment PI's length because triangle TIP is an isosceles triangle, resulting in;

TP = TI 5 or TP = PI = 7.

The total lengths for TP are equal to the sum of the two unequal sides of the triangle TIP.

For TP, there are a total of 5 + 7 = 12 lengths.

Therefore, in the provided triangle, there are a total of 12 lengths for TP.

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Answer:

Step-by-step explanation:

log=(x+3)

x=1

(1+3)=4

log=4

Answer:

x = 2

Step-by-step explanation:

x + 3 > 0

x > -3

x > 0

log [x(x+3)]= log 10

log (x² + 3x) = log 10

x² + 3x = 10

x² + 3x - 10 = 0

(x+5)(x-2) = 0

x = -5 (not acceptable)

x = 2

The numbers are 6 and -2 check pic for explanation.

In first equation,

Slope = 2

y - intercept = - 6

In second equation,

Slope = 1/2

y - intercept = 12

What is Equation of line?

The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The equation of lines are,

⇒ y = 2x - 6

⇒y = 1/2x + 12

Now,

We know that;

The slope intercept form of an equation is,

⇒ y = mx + b

Where, 'm' is slope of the line and 'b' is y - intercept.

So, By comparing, we get;

In first equation,

⇒ y = 2x - 6

Slope = 2

y - intercept = - 6

In second equation,

⇒y = 1/2x + 12

Slope = 1/2

y - intercept = 12

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Consequently, it creates a South of East angle of 20.538 with a horizontal line.

What is vector ?

A vector is a quantity or phenomenon with independent magnitudes and orientations. The expression also describes a quantity's geometric or mathematical representation. Natural phenomena such as weight, force, electromagnetic fields, momentum, and velocity are examples of vectors.

Here,

Resultant R of the two vectors is

=>[tex]R^{2}[/tex] = [tex]a^{2}[/tex]+[tex]b^{2}[/tex] + 2abcosθ

=> [tex]R^{2}[/tex] = [tex]30^{2}[/tex]+[tex]5^{2}[/tex] + 2(30)(5)cosθ

where θ is the 100 degree angle formed by two vectors.

=>[tex]R^{2}[/tex] = [tex]30^{2}[/tex]+[tex]5^{2}[/tex] + 2(30)(5)cos100

=> [tex]R^{2}[/tex] = 900 +25 + 2(30)(5)cos100

=> [tex]R^{2}[/tex] = 925 + 300cos100

=> [tex]R^{2}[/tex] = 925 - 52.094

=> [tex]R^{2}[/tex] = 872.906

=> R =29.544

R=29.544 miles per hour

and it creates an angle Ф with a 30 mph vector.

=> tanФ = 5/30

=> Ф = [tex]tan^{-1}[/tex] (1/6)

=> Ф = 9.642°

Consequently, it creates a South of East angle of 20.538 with a horizontal line.

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Answer:

n = 3m

Step-by-step explanation:

N is per month, 3m (movies) a month

Answer:

%20

Step-by-step explanation:

Answer: The answer is 103

Step-by-step explanation:

x+y=59

x+2y = 103

subtract 1st equation from the 2nd to get

y = 44 two point shots

x = 59-44= 15 one point shots

15+2(44) = 15 + 88 = 103 total points

Answer:

V = 508.68 in^2

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where pi = 3.14 r is the radius and h is the height = 2

V = 3.14 * ( 9) ^2 * 2

V = 508.68 in^2

True, to calculate the average of numeric values in the list, the first step is to get the total of values in the list.

Steps to calculate the Average:

Let’s assume there are 4 numbers having values of 2,8,22,48 respectively.

To find the average we first have to take the total of all values.

2+8+22+48=80.

Our next step will be to divide this total by the number we have in our question i.e., 4.

so, our average will be 80/4= 20.

So, 20 will be our average.

So yes, it is true that to calculate the average of numeric values in the list, the first step is to get the total of all values in the list.

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The value x comes from a normal distribution with mean μ and standard deviation σ

The standard normal distribution is a normal distribution of standardized values called z-scores. A z-score is measured in units of the standard deviation. For example, if the mean of a normal distribution is 79 and the standard deviation is 7, the value 11 is three standard deviations above (or to the right of) the mean. The calculation is as follows:

x = μ + (z)(σ) = 79 + (93)(7) = 730

The z-score is 93.

The mean for the standard normal distribution is zero, and the standard deviation is one. The transformation

z=x−μσ

= 730-79*7

= 177

produces the distribution Z ~ N(0, 1). The value x comes from a normal distribution with mean μ and standard deviation σ.

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The required average price of the new home in 2000 was $310798.12. using the concept of percentage -

What is percentage?

Percentage is a measurement to find value of given number out of hundred.

Given that,

The average price of new home in 2016 = $662,000.

Since,

The price increased by 113% and from 2000 to 2016,

So the increased price in percentage = 100 + 113 = 213%.

Let the initial price of new home was x which is 100%.

According to given conditions,

213 % = 662,000

1 % = 662000/213

1 % = 3107.9812

100 % = 310798.12

The average price of the new home in 2000 was $310798.12.

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Answer:

$918.86

Step-by-step explanation:

You want the value of an account in which $800 is invested for 5 years earning interest of 2.78% compounded quarterly.

Account value

The account value is given by the formula ...

A = P(1 +r/n)^(nt)

where P is the principal amount, r is the annual interest rate, n is the number of times per year interest is compounded, and t is the number of years.

A = $800(1 +0.0278/4)^(4·5) ≈ $918.86

The value of the account after 5 years is $918.86.

In linear equation, $ 11340 is amount did she pay.

Describe a linear equation using an example.

An equation in which there is only one variable is known as a linear equation in one variable.

It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value. One such linear equation in one variable is 9x + 78 = 18.

The payable after the 80% cut is

$6,300* 80% = 5040

plus the annual premium

5040 + 6,300 = 11340

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All of the cell Chi-Square values are added to provide the overall Chi-Square test statistic.

A statistical hypothesis test for contingency tables that are employed when the sample sizes are big is the chi-squared test. It is also known as the "χ² test" or chi-square. This evaluates how well a model matches up with actual observed data.

The formula to calculate this test is given by [tex]\chi^2 =\sum\frac{(O-E)^2}{O}[/tex] where the observed value is denoted by O and the expected value is denoted by E. By summing up the squares of the differences between the observed (O) and expected (E) values by the expected values, one may calculate the overall Chi-Square test statistic. Therefore, the blank can be filled with option d " adding".

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The strongest correlation is - 0.89 that is option B

To gauge how closely two variables are related to one another, correlation coefficients are used. The most common correlation coefficient is Pearson's, though there are other varieties as well. The correlation coefficient known as Pearson's is frequently applied in linear regression. Correlation coefficients typically fall between -1.00 and +1.00. The strongest correlation is taken into account when the value is closest to +1 or -1, according to the rule of correlation coefficients.

A positive correlation coefficient means that the two variables directly affect one other's values. There is no association between the two variables, according to a zero correlation coefficient and when the correlation coefficient is negative, it means that the values of the two variables are inversely related.

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When Gap, Inc. gave employees who fit the desired old navy customer profile $200 a piece and set them loose on a shopping spree, and then interviewing them about what they purchased so those products would be on the old navy shelves when the stores opened, they utilized non probability sampling format of participant sampling.

Non probability sampling is the way of choosing samples not randomly from a population. Here we can see that the people they choose to select as sample to study their behaviour was not random, but it was their own employees.

Advantage of this type of participant sampling is that it is faster, cheaper and easier to obtain the observations.

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The range of probability is [0, 1]

What is probability?

Probability is an area of mathematics that deals with the occurrence of a random event. There are four varieties of probability: classical, empirical, subjective, and axiomatic. Since probability and possibility are equivalent, you may argue that it refers to the likelihood that a specific occurrence will occur.

Probability of an event is always greater than or equal to 0 & less than or equal to 1.

So, the range of probability is [0, 1]

Here,

a. minus−​1.5, because probability values cannot be less than 0. CORRECT

b. ​0.0002, because probability values must be rounded to two decimal places. WRONG 0.0002 is greater than 0 & less than 1

c. start fraction 64 over 25 end fraction 64 25​, because probability values cannot be greater than 1. CORRECT

d. ​33.3%, this is because probability values cannot be greater than 1. WRONG 33.3 % is less than 1 & greater than 0.

e. start fraction 320 over 1058 end fraction 320 1058​, because probability values cannot be in fraction form. f. ​0, because probability values must be greater than 0.WRONG 33.3 % Probability values can be written in fraction, But it's decimal value of fraction should be greater than 0 & less than 1.

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the standard form of the equation -9x²+25y²-100y = 125 is x²/25 + (y-2)²/9 = 1

Add 125 to both sides of the equation.

-9x²+25y²-100y = 125

Complete the square for 25y²-100y

25(y-2)²-100

Substitute 25(y-2)²-100 for 25y²-100y in the equation

-9x²+25y²-100y = 125

-9x²+25(y-2)²-100 = 125

Move −100 to the right side of the equation by adding 100 to both sides.

-9x²+25(y-2)² = 125 +100 = 225

Divide each term by 225 to make the right side equal to one.

-9x²/225 +25(y-2)²/225 = 225/225

Simplify each term in the equation in order to set the right side equal to 1. The standard form of an ellipse or hyperbola requires the right side of the equation to be 1.

x²/25 + (y-2)²/9 = 1

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David is using a subform to create a form based on two tables that have a one-to-many relationship.

A form that is put into another form is known as a subform. The form that is contained within another form is referred to as the subform, while the major form is known as the main form. A master/detail form or parent/child form may also be used to describe a form/subform pair.

When you wish to display information from tables or queries with a one-to-many connection, subforms are particularly useful. A one-to-many connection is an association between two tables where each record's main key value in the primary table matches a value in a number of records' matching fields in the related table.

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Therefore , no the chest will not fit next to her bed.

What is perimeter?

A shape's perimeter is equal to the length of its outline. The perimeter of a rectangle or square is equal to the sum of its four side widths. In this case, x and y stand for the length and width of the rectangle, respectively. A shape's area is calculated from its surface.

Here,

Given : It is 86 inches broad in her room. The bed has a 76-inch width.

And she wants to fit chest of drawer 72 centimeter wide

which converts into inches is

=> 72 cm = 28.3465 inches

and the space left in her room = 86-76=10 inches

thus, the chest will not fit next to her bed

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The types of triangles which can be used as a counterexample to the statement " all angles in a triangle are acute " are:

isoscelesacuteequilateral

Given:

the types of triangles are:

A scalene triangle is a triangle with various lengths for each of its three sides and different measurements for each of its three angles. A scalene triangle's angles adhere to the angle sum property and always add up to 180 degrees.

The hypotenuse, along with the two legs, make up a right triangle. The hypotenuse, the longest side of the right triangle and the side opposite the right angle, is where the two legs of a right triangle come together at a 90° angle.

Therefore, an isosceles triangle has two equal sides as well as two equal angles. hence true.

40°-65° - 75° (all acute angles). The sides opposite these unequal acute angles are also unequal lengths.

An elementary polygon having three sides and three vertices is a triangle. There are three interior angles because it has three sides. An acute angle is one that is between 0° and 90° in length.

Hence we get the required answer.

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The final temperature in North Bay is 28° , as calculated using the Newton's model of temperature.

Temperature in north bay = 23°

Temperature falls by 7° , hence new temperature = 23° - 7 ° = 16°

Again temperature rises by 12° , hence final temperature = 16° + 12° = 28°

Therefore the final temperature is 28° .

How hot or cold something is can be expressed numerically using the physical concept of temperature. Temperature is measured with a thermometer.

Different scales of temperature, which normally established a large number of reference points and thermometric materials, are mainly used to calibrate thermometers. The most widely used scales are the Kelvin scale (K), which is mostly used in science, the Fahrenheit scale (°F), and the Celsius scale, also referred to as centigrade and denoted by the unit symbol °C.

Kinetic theory offers a microscopic account of temperature for particular forms of material, especially gases, based on the premise that macroscopic systems are composed of multiple microscopic particles, such as molecules and ions of various species, the particles of a species being all comparable.

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