In a nuclear​ disaster, there are multiple dangerous radioactive isotopes that can be detected. If 90.5​% of a particular isotope emitted during a disaster was still present 11 years after the​ disaster, find the continuous compound rate of decay of this isotope.
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Part 1
The continuous compound rate of decay of this isotope is
enter your response here.
(Round to six decimal places as​ needed.)

Answer:

The equation that represents the distance left to hike is: \(y = 1600 - 200*x\)

The time it'll take to hike 1600 ft is: x = 8 h

Step-by-step explanation:

Since Joan hikes 600 ft every 3 hours, then her average speed is given by:

\(v_{avg} = \frac{600}{3} = 200\text{ }\frac{\text{ft}}{\text{h}}\)

Since she wants to cover 1600 feet, then the equation that represents the distance left to hike is:

\(y = 1600 - 200*x\)

The time it'll take to hike 1,600 feet is the time it'll take for y = 0, because at that point the distance left to hike is equal to zero.

\(0 = 1600 - 200*x\\200*x = 1600\\x = \frac{1600}{200} = 8 \text{ h}\)

Answer:

y=200x. it will take joan 8 hours to hike 1600 ft.

Step-by-step explanation: Hope This Helps :)

Answer: (3,3)

Step-by-step explanation: You have to take the y value of v and the x value of t and you get (3,3).

Answer:

-1 , -6

Step-by-step explanation:

Let x be the first number and let y be the second number.

x * y = 6

x + y = -7

Let's first find the factor pairs of 6.

1, 6

2, 3

-1, -6

-2, -3

Now, we just need to take each factor pair and add them together and see which one equals -7.

1 + 6 = 7, so that is wrong.

2 + 3 - 5, so that is also wrong.

-1 - 6 = -7, so this is our answer (-2 and -3 added is -5, which is wrong).

Therefore, our answer is -6 and -1.

From Pythagorean Theorem, the formula is given as:

Answer:

An arithmetic sequence is a sequence such that the difference between two consecutive terms is a constant, and we can call it d.

Then the general recursive relation is:

Aₙ = Aₙ₋₁ + d.

And the sum of the first N terms of this sequence is given by:

S(N) = (N/2)*(2*A₁ + (N - 1)*d)

Where A₁ is the first term of the sequence.

In this case, we have:

A₁ = -4910

Aₙ = Aₙ₋₁ + 8

Then we have: d = 8

(it actually says:

ai = -4910

ai = Ai-1 +8

But that has no actual meaning, so I assumed that the first one was actually the first term of the sequence)

The sum of the first 575 terms of this sequence is given by:

S(575) = (575/2)*(2*(-4910) + (575 - 1)*8) = -1,503,050

Answer:

if i didnt get anything mixed up it would be A. dependent

Step-by-step explanation:

When the outcome affects the second outcome, which is what we called dependent events. Dependent events: Two events are dependent when the outcome of the first event influences the outcome of the second event.

The value of n for a line that passes through point A(n, 4) and point B(6, 8) and is parallel to  y = 2x - 5 is 6.

No matter how far we extend a parallel line, it will always remain straight. Take a look at the parallel lines in the following illustration. Lines "p" and "q" are parallel to each other as are lines "a" and "b."

We know that parallel lines have same slope, so the slope of y = 2x - 5 is 2 according the y intercept form, y = mx + b

Now using the point-slope form we will find the line parallel to Point B (6, 8)

y − y₁ = m(x − x₁)

Put m as 2, y₁ as 8 and x₁ as 6, and we wil get

y − 8 = 2(x −6)

y = 2x − 4 or

2 = (y + 4)/x           (slope)

We will us point-slope form for point A(n, 4) too

y − 4 = 2(x −n)

y = 2x − 2n + 8 or

2 = (y - 8 + 2n)/x

As slope 2 is same in both points it means their equations are same too

(y + 4)/x  =  (y - 8 + 2n)/x

Lest solve for n

(y + 4)/x  =  (y - 8 + 2n)/x

y + 4 =  y - 8 + 2n

4 = - 8 + 2n

4 + 8 = 2n

2n = 12

n = 12/2

n = 6

Thus, the value of n for a line that passes through point A(n, 4) and point B(6, 8) and is parallel to  y = 2x - 5 is 6.

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Answer:

x-17.5

Step-by-step explanation:

angles in a triangle add to 180

3x+8+(2x-3)+5x = 180

simplify(collect like terms):

10x + 5 = 180

solve:

10x = 175

x=17.5

Answer:

360

Step-by-step explanation: 18x20

Answer:

area of parallelogram=base ×height=20×18=360mm²

Answer:

2/18 or 1/9

Step-by-step explanation:

just directly multiply it 2×1=2

6×3=18 so 2/18 simplify 1/9

Answer: 5 1/3 - 3 2/3 = 1 2/3. 8 4/7 - 7 5/7 = 6/7. Yes its simplified and 100% correct.

Step-by-step explanation:

There are 11 zeros in the given fraction's terminating decimal representation.

To determine the number of zeros to the right of the decimal point and before the first non-zero digit in the terminating decimal representation of  \($\frac{1}{2^5\cdot5^8}$\) , we need to simplify the fraction.

\($\frac{1}{2^5\cdot5^8}$\)  can be rewritten as \($\frac{1}{32\cdot390625}$\) .

To find the decimal representation of this fraction, we divide 1 by the product of the denominators: \($32\cdot390625$\) .

Performing the division, we get:

\($0.000000000000512$\)

In this decimal representation, there are 11 zeros located to the right of the decimal point and before the first non-zero digit, which is 5. Therefore, there are 11 zeros in the given fraction's terminating decimal representation.

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In conclusion, the chance of having HIV, assuming a positive test result, is 0.4%. It is important to remember that this number could vary depending on the accuracy and false positive rate of the test, as well as the number of people infected with HIV in the given area.

Assuming you tested positive for HIV, the chance of having the virus is higher than 2.5%, since the test has a false positive rate of 2.5%.

Out of the 10,000 people, 250 are likely to test positive, of which only one person actually has the virus. This means that the actual chance of having HIV, assuming a positive test result, is 1 in 250 or 0.4%.

It is important to note that this calculation only applies to the specific case of the 10,000 people in question, and the false positive rate of the test. Different tests have different levels of accuracy and false positive rate, which could alter the result. Furthermore, the number of people infected with HIV may differ significantly in different areas, which could also change the probability.

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Here's a scenario where you would use that expression:

A rectangular playground is x foot wide, and its lenght is 3ft more than the double of is widht.

Find an expression for the lenght of the playground.

Solution: The lenght of the playground is:

According to the conversation we can infer that the information focused on the conversation of two people; one of them is studing for an exam.

To identify what is the conversation about we have to consider who is talking and what are the ideas that they share. In this case, we can infer that the main idea of this conversation is that one of them is studying for an exam this week.

Also, the second person is apologizing because he considered that he is distracting the other person. So, the correc information about de conversation is a short conversation about study.

Note: This question is incomplete. Here is the complete information:

Conversation:
Hello

Hello, How are you?

I am fine, and you?

i am fine too, What are you doing?

I am studing for an exam this week.

Oh, sorry I won´t distract you.

Don´t worry.

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The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z=\dfrac{X-\mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

\(Z=\dfrac{X-\mu}{\sigma}\)

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

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Answer:

95.76

Step-by-step explanation:

Answer:

Step-by-step explanation:

130  17/1000

Answer:

5 hours 38 minutes

Step-by-step explanation:

Let's call Hannah H, and Destiny D.

9H = 1 (think of 1 as 100% of the job done). call this equation '1'.

15D = 1      call this '2'

multiply '1' by 5:

45H = 5

multiply '2' by 3:

45D = 3

add both up:

45H + 45D = 5 + 3

45H + 45D = 8

45(H + D) = 8.

H + D is Hannah and Destiny working together. we want to make the right side of equation 1.

divide both sides by 8:

(45/8) (H + D) = 1

so it will take both of them 45/8 ≈ 5 hours 38 minutes to paint it together

Answer:

Step-by-step explanation:

If x = 2 and y =6

Then

2 ( x+ y)

= 2 ( 2 + 6)

= 2 * 8

= 16

hope it helps :)

Answer:

16

Step-by-step explanation:

you will do 2 + 6 = 8

so it = 8

x=2

y=6

and than u will 8 x 2 = 16

the answer is = 16

The statement (b) the sum is a binomial with a degree of 3 is correct.

Expressions are defined as the combination of constants and variables with mathematical operators.

We have expressions:

6s²t – 2st²

4s²t – 3st²

Adding the above two expressions, we get;

= (6s²t – 2st²) + (4s²t – 3st²)

Combining like terms:

= 10s²t - 5st²

The above expression has degree 3(2+1)

Thus, statement (b) the sum is a binomial with a degree of 3 is correct.

Complete question:

What is true about the sum of the two polynomials?

6s2t – 2st2

4s2t – 3st2

a.) The sum is a binomial with a degree of 2.

b.) The sum is a binomial with a degree of 3.

c.) The sum is a trinomial with a degree of 2.

d.) The sum is a trinomial with a degree of 3.

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The expression that represents the amount of money Nakeisha would have saved in w weeks will be 70 + 8w

The total money Nakeisha have after 8 weeks of saving is $134.

Given that Nakeisha is saving up to buy a new jacket, she already has $70 and can save an additional $8 per week using money from her after school job.

The expression that represents the amount of money Nakeisha would have saved in w weeks is:

= 70 + 8(w)

= 70 + 8w

The total money the she would Nakeisha have after 8 weeks of saving will be:

= 70 + 8w

= 70 + 8(8)

= 70 + 64

= 134

The amount saved is $134.

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Null hypothesis: The average lifespan of the heaters is equal to or greater than 5 years

Alternative hypothesis: The average lifespan of the heaters is less than 5 years.

In hypothesis testing, the null hypothesis (H0) is a statement that assumes no significant difference between a sample statistic and a population parameter. The alternative hypothesis (Ha) is a statement that contradicts the null hypothesis and asserts that there is a significant difference between the sample statistic and the population parameter.

In this scenario, the company claims that its heaters last less than 5 years. We can express this claim as the alternative hypothesis (Ha), which states that the average lifespan of the heaters is less than 5 years.

On the other hand, the null hypothesis (H0) is a statement that assumes that the average lifespan of the heaters is equal to or greater than 5 years. This is the default assumption until evidence is found to support the alternative hypothesis.

To test these hypotheses, we would collect a sample of heaters and measure their lifespans. We would then calculate the sample mean and compare it to 5 years. If the sample mean is significantly less than 5 years, we would reject the null hypothesis and conclude that the average lifespan of the heaters is less than 5 years.

In summary, the null and alternative hypotheses for this scenario are:

Null hypothesis (H0): The average lifespan of the heaters is equal to or greater than 5 years.

Alternative hypothesis (Ha): The average lifespan of the heaters is less than 5 years

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Step-by-step explanation:

I think they are all in order already

The given expression is of the form y=mx+c. Comparing, we get the slope as 7.

The direction and steepness of a line are represented numerically by the slope or gradient of the line. It provides the ratio of how much y rises when x rises by a particular amount. The general form is therefore y=mx+c, where c represents the y-intercept and m represents the slope. This form gives the slope-intercept form.

Given the expression is  y=7x+3. Comparing this expression with the general form we get, slope or gradient as 7 and y-intercept as 3. Therefore, the required answer is 7.  

The complete question -

What is the gradient of the line y=7x+3?

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Answer:

give me 2 minutes and I will

Answer: there is so picture

Step-by-step explanation: it should give you the option when you ask the question it’s the little paper clip

The number of real solutions of a quadratic equation depends on the sign of the discriminant.We can find discriminant by using discriminant formula.

A real solution in algebra is simply a solution to an equation that is a real number. there can be 0, 1, or 2 solutions to a quadratic equation depending on whether the expression inside the square root sign (b2 - 4ac), is positive, negative, or zero.

When the discriminant value is positive we get two real solutions. When the discriminant value is zero we get one real solution. When the discriminant value is negative we get a pair of complex solutions.

So that we can find real solution of quadratic equation by finding discriminant of given equation.

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Answer:

Peter must pay $10.50

Step-by-step explanation:

Since he only used the service for 1 month, he pays for that much time.

Answer:

10.50 x 5 would be the expression.

  so the answer is  $-52.5

Step-by-step explanation: