The half-life of a radioactive form of tritium is about 2 years. How much of a 5 kg sample of this material would remain after... . a) 8 years b) 12 moenths

Answer:

7

Step-by-step explanation:

Here is ur answer mate

\(3 x+ 5 = 26\)

\(3x = 21\)

\(x = 7\)

Hope it helps u

Answer:

x=7

Step-by-step explanation:

Answer:

10/1

Step-by-step explanation:

You do

6÷ 3/5

Flip the 3/5 then multiply

6 ° 5/3

Reduce the numbers with the greatest common factor 3

So 2•5

And that's 10

Ans is 10.

The numbers in 6 divided by 3/5 are labeled below:

6 = whole number

3 = numerator

5 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

6 x 5/3 = 30/3

Thus, the answer to 6 divided by 3/5 in fraction form is:

30/3

To make the answer to 6 divided by 3/5 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

30 / 3 = 10

The answer is rounded to the nearest two decimal points if necessary.

30/3 can be simplified to 10/1.

10/1 is an improper fraction and should be written as 10.

Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0.

Several real-world scenarios use exponential functions, including population increase, compound interest, radioactive decay, and the spread of diseases. For instance, an exponential function may be used to simulate the expansion of a bacterial population, with the rate of increase being proportional to the population size. Similarly, compound interest, which applies the rate of interest to the principal sum across a number of periods, can be represented by an exponential function.

Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0 and k translates the graph of f up when k > 0 and down when k < 0.

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Answer:3.277 units

Step-by-step explanation:

Given

The surface area of a sphere is \(135\ sq.units\)

The surface area of a sphere is given by

\(\Rightarrow S.A.=4\pi r^2\)

Putting values

\(\Rightarrow 135=4\times \frac{22}{7}\times r^2\\\\\Rightarrow r^2=\dfrac{135\times 7}{22\times 4}\\\\\Rightarrow r^2=10.738\\\Rightarrow r=\sqrt{10.378}=3.277\ units\)

In this given problem, we are asked to determine the number of arrangements of eight different books when two particular books must be separated from each other. Let's solve it step by step. Find the total number of arrangements of eight books We have eight different books that need to be arranged in any order.

Therefore, the total number of arrangements of eight books is 8! (8 factorial).8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40,320 Find the number of arrangements where two particular books are togetherWe need to find the number of arrangements where two particular books are together. Since there are two books, we can consider them as a single unit and the remaining six books will be arranged in any order.Therefore, the number of arrangements where two particular books are together = 7! (7 factorial)7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5,040.

However, we need to double this number because there are two different ways that two particular books can be together (e.g., AB together or BA together).Therefore, the total number of arrangements where two particular books are together = 2 × 7! = 10,080Step 3: Find the number of arrangements where two particular books are separatedThe number of arrangements where two particular books are separated = Total number of arrangements - Number of arrangements where two particular books are together= 8! - 2 × 7!= 40,320 - 10,080= 30,240Therefore, the number of arrangements of eight different books if two particular books must be separated from each other is 30,240.

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Answer:

5a-30

Step-by-step explanation:

multiply 5 since its outside by the numbers inside the parethesis

I think it would be (5 × a) + (5 × -6)

The series converges for all values of p > 0. This can be shown using the alternating series test and the fact that the terms of the series are alternating and decreasing in absolute value for n ≥ 3.

We can use the alternating series test to show that the series converges for all p > 0.

First, note that the terms of the series are alternating and decreasing in absolute value for n ≥ 3:

|(-1)^(n-1)(ln n)p/n^2| = [(ln n)p/n^2] ≤ [(ln 3)p/n^2] for n ≥ 3.

To apply the alternating series test, we need to show that the sequence of absolute values of the terms converges to zero. This follows from the fact that:

lim_{n->∞} [(ln 3)^p/n^2] = 0,

which can be shown using the squeeze theorem with the inequality [(ln n)^p/n^2] ≤ [(ln 3)^p/n^2].

Therefore, by the alternating series test, the series converges for all p > 0.

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Answer:

-24x^4 + 16x^3

Step-by-step explanation:

Because exponents of a variable rely on an exponential change rather than a linear change, x^4 and x^3 are not like terms and cannot be combined. A simpler explanation is this:

2^4 + 4^8

You can't add these values, you need to simplify the exponents first. There is no way to add exponents this way without first simplifying them. So if you use variables instead of constants, simplifying the exponents is impossible and thus adding an x^4 term and x^3 term is impossible.

It really comes down to how much you can simplify it without being able to add both terms. Fortunately for you, it's really simple here. Since you're subtracting a negative, you're adding a positive! So:

-24x^4 - -16x^3 = -24x^4 + 16x^3

The standard deviation is a measure of dispersion that is used in constructing confidence intervals for the mean and in evaluating research hypotheses.

In statistics, the same old deviation is a degree of the amount of variation or dispersion of a hard and fast of values. A low well-known deviation suggests that the values tend to be close to the suggested of the set, while an excessive widespread deviation shows that the values are spread out over a much broader range.

It tells you, in common, how some distance every rating lies from the suggestion. In everyday distributions, a high well-known deviation approach that values are typically far from the implied, while a low popular deviation suggests that values are clustered close to the mean.

Fashionable deviation tells you ways to unfold out the statistics is. It is a degree of the way some distance each location cost is from the suggest. In any distribution, about ninety-five% of values may be inside 2 preferred deviations of the suggested.

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The given function is ,

→ f(x) = -9x + 7 .

And we need to find out its value at x = 3 , that is f(3) . So just substitute x = 3 ,

→ f(3) = -9*3 +7

→ f(3) = -27+7

→ f(3) = -20

Hence the required answer is-20 .

I hope this helps.

Answer:

f= -16

i gotchu

Answer:

f = - 16

Step-by-step explanation:

f - 20 = - 36

f = - 36 + 20

Answer:

200 miles

Step-by-step explanation:

4 * 50 = 200

1 cm = 50 miles

50 miles * 4 cm

\(=\fbox{200 miles}\)

When something decreases by 15.7%, the growth factor is about 1.182 and when something decreases by 0.12%, the growth factor is about 1.00012.

In math, what is the definition of multiplying?

Multiplication is a mathematical process that shows the amount of times a number has been added to itself. It is represented by the multiplication symbols (x) or (*). Division is a mathematical process that shows how many equal amounts add up to a given quantity.

If something decreases by 15.7%, the increase in the factor is 100 / (100 - 15.7) Equals 1.182.

As a result, when something decreases by 15.7%, the growth factor is about 1.182.

When something falls by 0.12%, the expansion factor is 100 / (100 - 0.12) = 1.00012.

As a result, when something decreases by 0.12%, the growth factor is about 1.00012.

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Answer:

6.4

Step-by-step explanation:

Answer:

6.5 kilometers

Step-by-step explanation:

Step-by-step explanation:

A higher confidence interval means less power which in turns means a smaller rejection religion.So our confidence interval would become wider.

It can be inferred that there is a statistically significant result if the confidence interval excludes the value of zero effect.

Confidence Interval;

In statistics, confidence is another word for probability. For instance, if you create a confidence interval with a 95% confidence level, you can be sure that 95 times out of 100 the estimate will fall between the upper and lower values indicated by the confidence interval.

Therefore,

The confidence level is 95% if your significance level is 0.05. The hypothesis test is statistically significant if the P value is lower than your significance (alpha) level. The findings are statistically significant if the confidence interval excludes the null hypothesis value. 0

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Answer:

The required volume, if he wants to fill 75% of the pot's volume, is 11664cm³

Step-by-step explanation:

The volume of a pyramid is given as

\(V = \frac{1}{3} \times A \times h\)

Where V is the pot's volume, A is the base area and h is the height.

Our base is a square, so the base area, if s denotes the side length, would be s x s.

s = 36cm, therefore we have A = 36cm X 36cm = 1296cm².

The height is given as 36cm, therefore we have our volume to be:

\(V = \frac{1}{3} \times 1296cm^2 \times 36cm\)

\(V = 15552cm^3\)

Since Luis wants to fill 75% of the pot's volume with soil. Then it will take

\(\frac{75}{100} \times 15552cm^3 = 11664cm^3 \)

Thus, the required volume, if he wants to fill 75% of the pot's volume, is 11664cm³

Answer:

\(m=7\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (0, -7)

Point (2, 7)

Step 2: Find slope m

Substitute the points into the slope formula to find rate of change.

Answer:

b g and e

Step-by-step explanation:

The equation of the line is that passes through (1,4) and (3, -6) is

y = -5x + 9

First, write the equation in slope-intercept form:

y = mx + b

(the m is the slope, and b is the y-intercept)

Now, Lets find the slope(m) of the line by using the formula:

y2-y1/x2-x1

(-6 - 4)/ (3 - 1) = -10/2 = -5

Next, find the y-intercept (b) by using the slope-intercept form equation and substituting -5 in for m and one of the ordered pairs in for x and y:

4 = (-5)(1) + b

b = 9

-OR-

-6 = (-5)(3) + b

b = -6 + 15 = 9

b = 9

Now, we can write the full equation of the line:

y = -5x + 9 is the answer

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The multiplicity of the zero at x = 1/4 in the equation y = 16x² - 8x + 1 is 2.

To determine the multiplicity of the zeros of the quadratic equation y = 16x² - 8x + 1, we need to factorize the equation or find the solutions using the quadratic formula.

The quadratic equation can be factored as follows:

y = (4x - 1)(4x - 1)

From the factored form, we can see that the equation has a repeated factor of (4x - 1), indicating that the quadratic has a repeated zero at x = 1/4.

Therefore, the multiplicity of the zero at x = 1/4 in the equation y = 16x² - 8x + 1 is 2.

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Answer:

Plotting the points on graph and joining them gives a right angle triangle

Answer:

right angle triangle

Step-by-step explanation:

Slope = (Y1-Y2)/(X1-X2)

The slope of AC is 1/3. The slope of BC is -3. Therefore AC is perpendicular to BC (right angle).

The equation representing the relationship will be a = 5,184p.

What is representing the relationship of equations?

Yes, there is a relationship between the screen size and the number of pixels.

The equation representing the relationship will be a = 5,184p.

The equation representing the relationship will be:

= Number of pixels / Screen size

= 31.104 / 6

= 5.184

Therefore, the equation representing the relationship will be a = 5,184p.

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1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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Answer:

we have

Remember that

Multiply by  both sides

Simplify

The formula to solve a quadratic equation of the form  is equal to

in this problem we have

so

substitute in the formula

therefore

the answer is the option

x = negative 4 over 3 and x = 5

To write a quadratic function from its vertex and another point, we can use the vertex form of a quadratic function, which is f(x) = a(x-h)^2 + k. Substitute the coordinates of the vertex and the other point into the vertex form to find the value of a. Then, substitute the value of a back into the vertex form to get the quadratic function.

To write a quadratic function from its vertex and another point, we can use the vertex form of a quadratic function, which is f(x) = a(x-h)^2 + k. In this form, (h, k) represents the coordinates of the vertex of the parabola.

Let's say the vertex of the quadratic function is (h, k) and the other point is (x1, y1). We can substitute these values into the vertex form to find the value of a.

Substituting the vertex coordinates, we get:

f(h) = a(h-h)^2 + k

f(h) = k

Substituting the coordinates of the other point, we get:

f(x1) = a(x1-h)^2 + k

Now, we have two equations:

k = a(0)^2 + k

y1 = a(x1-h)^2 + k

From the first equation, we can see that k = k, which is always true. Therefore, we can ignore this equation.

From the second equation, we can solve for a:

y1 - k = a(x1-h)^2

a = (y1 - k) / (x1-h)^2

Now that we have the value of a, we can substitute it back into the vertex form to get the quadratic function:

f(x) = a(x-h)^2 + k

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