Find the midpoint of the segment with the following endpoints.
(7, -2) (1, -10)

The mean life of an extremely unstable nucleus, often referred to as the half-life, is typically very short. It can range from fractions of a second to a few minutes. For the purpose of this response, let's assume an extremely unstable nucleus has a half-life of 1 second.

On the other hand, the average human lifespan varies across different regions and time periods. As of my knowledge cutoff in September 2021, the global average life expectancy was around 72 years.

To calculate how many times longer the human lifetime is compared to the mean life of an extremely unstable nucleus, we need to convert the human lifespan to seconds:

72 years = 72 years * 365 days/year * 24 hours/day * 60 minutes/hour * 60 seconds/minute ≈ 2,270,400,000 seconds.

Now we can calculate the ratio:

2,270,400,000 seconds (human lifespan) / 1 second (mean life of an extremely unstable nucleus) ≈ 2,270,400,000.

Therefore, the lifetime of a human is approximately 2,270,400,000 times longer than the mean life of an extremely unstable nucleus with a half-life of 1 second. Keep in mind that this calculation assumes a specific half-life for the unstable nucleus and an average human lifespan. The actual values may vary in different contexts.

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Answer:

3x-2=25

x=9. .

Answer:

9

Step-by-step explanation:

The length of the curve is approximately 34.10 units.

To find the length of the curve described by the vector-valued function r(t) = 9t i + \(8t^{(3/2)}\) j + 4t² k, where 0 ≤ t ≤ 1, we can use the arc length formula:

L = ∫ √[dx/dt)² + (dy/dt)²  + (dz/dt)² ] dt

First, let's find the derivatives of each component of the vector r(t):

dx/dt = 9

dy/dt = (\(8t^{3/2}\))) * (3/2) * (2/\(\sqrt{t}\)) = 12t² /\(\sqrt{t}\) = 12\(t^{(5/2)}\)

dz/dt = 8t

Next, we substitute these derivatives into the arc length formula:

L = ∫ √[(dx/dt)²  + (dy/dt)²  + (dz/dt)² ] dt

L = ∫ √[9²  + (12t^(5/2))²  + 8² ] dt

L = ∫ √[81 + 144t⁵ + 64] dt

L = ∫ √[144t⁵ + 145] dt

Now we integrate with respect to t:

L = ∫  \((144t⁵ + 145)^{(1/2)}\) dt

This integral can be challenging to solve analytically. However, we can approximate the length using numerical methods such as numerical integration techniques or software.

Using numerical integration software, we find that the length of the curve is approximately 34.10 units.

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Answer: A and D

Step-by-step explanation: I need 4 more brainliest answers t get the next rank I’d appreciate it

DBA

Step-by-step explanation:

all the other ones are right angles or obtuse

Answer:

Step-by-step explanation:

10,000 x 12% = 1,200

10,000 + 1,200 = 11,200

There are 60 months in 5 years

11,200 ÷ 60 = $186.67

None of these responses is correct

Answer:

C

Step-by-step explanation:

12^2 = 144, 9^2 = 81, and 15^2 = 225.

144 + 81 = 225, therefore a^2 + b^2 = c^2.

Answer:

$976.93

Step-by-step explanation:

so if the sale price is 146.54 and the discount is 15% then divide 146.54 by 15% or .15.

By analyzing the graph's features, you can determine which rational function it represents.

A rational function is a fraction of two polynomial functions, where the denominator is not zero. Rational functions can have vertical asymptotes, where the denominator equals zero and the function is undefined.

They can also have horizontal asymptotes, where the degree of the numerator and denominator functions is equal and the coordinates of the leading term are the same. The graph of a rational function can also have slant asymptotes if the degree of the numerator is one greater than the degree of the denominator.

To determine which rational function is graphed, you need to compare the graph to the standard forms of rational functions. For example, the graph of a rational function y=1/x would have a vertical asymptote at x=0 and would approach the x-axis as it goes to positive and negative infinity. By analyzing the graph's features, you can determine which rational function it represents.

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the answer is (a) 30.To find the first term that appears in both sequences, we can simply compare the terms in each sequence until we find a match

what is sequence ?

In mathematics, a sequence is a set of numbers, called terms, arranged in a specific order. Each term in the sequence is obtained by applying a certain rule or formula to the preceding term(s) in the sequence.

In the given question,

Using Rule 1, we can create the first sequence:

10, 30, 90, 270, 810

Using Rule 2, we can create the second sequence:

58, 51, 44, 37, 30

To find the first term that appears in both sequences, we can simply compare the terms in each sequence until we find a match.

We see that the number 30 appears in both sequences as the fifth term of the second sequence and the second term of the first sequence.

Therefore, the answer is (a) 30.

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Answer:

Step-by-step explanation:

what abby wrote is conjecture,which is a statement know to be proven true

No,because she hasn't proven her statement.one way to do this is to use inductive reasoning.

Answer:

The answer is 119

Step-by-step explanation:

the first thing you need to know the ALL STRAIGHT LINES EQUAL UP TO 180.

so you take the 61 and add it to the 119 and you will get 180

The limit of the ratio test for the series ∑[infinity] to n=1 10^n÷n! is infinity (∞).

The ratio test is used to determine the convergence or divergence of a series. It involves taking the limit of the absolute value of ratio of consecutive terms. If the limit is less than 1, the series converges. If the limit is greater than 1 or infinity (∞), the series diverges. If the limit is exactly 1, the test will be inconclusive.

In this case, we have f(n) = ∣(10^n+1)÷(10^n)∣ = ∣10∣ = 10. The limit of f(n) as n approaches infinity is 10.

Since the limit of f(n) is greater than 1, the series fails the ratio test. This means that the series ∑[infinity] to n=1 10^n÷n! diverges. The ratio test suggests that the series does not have a finite sum and continues indefinitely.

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Answer:

I don't see any options for inequalities, so I wrote one based on the information.

Step-by-step explanation:

We'll assume that the drinks and cake ($17) are the only items Mr. Saslow needs to purchase and that the remainder may be used on whatever extras he wants.  In this case, candy.

He starts with $32 and spends $17.  The remainder may be spent on candy (all or none).  This can be expressed as an inequality.  Let C be the cost of the candy.

  C \(\leq\) ($32 - $17)

   C \(\leq\) ($32 - $17)

  C \(\leq\) ($15)

Based on the given information, the cost per ounce of the 16 oz jar and the 12 oz jar is not provided. Therefore, it is not possible to determine which jar of mayonnaise Sigmund should buy.

In order to compare the cost of the two jars of mayonnaise and determine which one Sigmund should buy, we need to know the price per ounce for each jar. Without this information, we cannot make a conclusive decision.

The cost per ounce is essential because it allows us to compare the prices accurately. For example, if the 16 oz jar costs $3 and the 12 oz jar costs $2.50, we can calculate the cost per ounce for each jar. The cost per ounce for the 16 oz jar would be $3 divided by 16 oz, which is $0.1875 per ounce. Similarly, the cost per ounce for the 12 oz jar would be $2.50 divided by 12 oz, which is approximately $0.2083 per ounce.

With this information, we can determine that the 16 oz jar is more cost-effective as it has a lower cost per ounce compared to the 12 oz jar. However, without the specific prices per ounce provided in the given information, it is impossible to determine which jar of mayonnaise Sigmund should buy.

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Answer:

(d)

Step-by-step explanation:

sum the parts of the ratio, 2 + 3 + 4 = 9 parts

Divide 180° by 9 to find the value of one part of the ratio

180° ÷ 9 = 20° ← value of 1 part of ratio , then

4 parts = 4 × 20° = 80° ← largest angle

The product of radical 5 and 10 radical 30 in simplest radical form is 50√6

An expression is combination of variables, numbers and operators.

We need to find the product of radical 5 and 10 radical 30 in simplest radical form

It can be written as √5×10√30

√a.√b=√ab

√5×10√30

10√5×30

10√150

10√25×6

10.5√6

50√6

Hence, the product of radical 5 and 10 radical 30 in simplest radical form is 50√6

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Answer:

What the other dude said:

The product of radical 5 and 10 radical 30 in simplest radical form is 50√6

Step-by-step explanation:

Answer:

\(\frac{3x+1}{x}, x\neq -1\)

Step-by-step explanation:

We can start by combining the fractions in the numerator. We can multiply them by x/x and x + 1/x + 1 respectively to get a common denominator of x(x + 1).

\(\frac{4}{x+1}*\frac{x}{x} +\frac{2}{x} *\frac{x+1}{x+1}\\\\\frac{4x}{x(x+1)}+\frac{2x+2}{x(x+1)}\\\\\frac{6x+2}{x(x+1)}\)

Now we can rewrite an simplify:

\(\frac{\frac{6x+2}{x(x+1)} }{\frac{2}{x+1} }\\\\\\\frac{6x+2}{x(x+1)}*\frac{x+1}{2} \\\\\frac{3x+1}{x}\)

The domain would be x ≠ -1 because the starting domain is \(x\neq -1; x\neq 0\) and it changed to \(x\neq 0\), so for the two fractions to be equal, the domain would be \(x\neq -1\).

Part A

we have the equation

(x-13)^2+(y-4)^2=16

Rewrite as

(x-13)^2+(y-4)^2=4^2

so

The center of the circle is the point (13,4)

The radius of the circle is 4 units

using a graphing tool

Part B

Remember that

If an ordered pair lies on the circle, then the ordered pair must satisfy the equation of the circle

so

Verify each ordered pair

Hunter (11,4)

For x=11 and y=4

substitute in the equation of the circle

Is not true

so

Hunter is not in the spotlight

Joe (8,5)

x=8 and y=5

Is not true

so

Joe is not in the spotlight

Mason (15,5)

x=15 and y=5

Is not true

Mason is not in the spotlight

Answer:

Both x and y have to be 90

Step-by-step explanation:

x and the 90 degree angle below it must be equal because the lines are parallel.

And y would also be the same as x

Answer: x = 90, y = 90

Step-by-step explanation:

         We can use vertical angles and corresponding angles to solve this question. Vertical angles are congruent to each other, so are corresponding angles. The little box shows that the angle is equal to 90 degrees.

   See attached.

The university dean randomly selected 200 students and found that 118 of them are receiving financial aid. The % confidence interval for the proportion (p) of students receiving financial aid IS interpreted as a range

To determine the % confidence interval for the proportion (p) of students receiving financial aid, we can use the formula for calculating confidence intervals for proportions.

Assuming a normal distribution and using the sample proportion (p-hat) and sample size (n), we can calculate the standard error and then construct the confidence interval.

The confidence interval provides a range of values within which we can be confident that the true proportion of students receiving financial aid lies.

For example, if the % confidence interval is calculated to be (0.50, 0.66), it means that we can be 95% confident that the true proportion of students receiving financial aid falls between 0.50 and 0.66.

This interval allows the university dean to estimate the range of the proportion of students receiving financial aid based on the sampled data.

It provides a level of confidence regarding the precision of the estimate, indicating the uncertainty associated with the true proportion in the entire student population.

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(a) The probability that exactly two of the four components last longer than 1,000 hours is 0.3679

(b) The probability that the subsystem operates longer than 1,000 hours is 0.8130

(a) Let X be the number of components that last longer than 1,000 hours. Then X follows a binomial distribution with n = 4 and p = 0.55 (the probability that a component lasts longer than 1,000 hours is 1 - 0.45 = 0.55). The probability that exactly two of the four components last longer than 1,000 hours is

P(X = 2) = (4 choose 2) × 0.55^2 × 0.45^2 = 6 × 0.3025 × 0.2025 = 0.3679

So the probability that exactly two of the four components last longer than 1,000 hours is 0.3679 (rounded to four decimal places).

(b) The subsystem will operate if any two of the four components are operating. This means that the subsystem will fail if either none or only one component is operating. Let Y be the number of components that are operating. Then Y follows a binomial distribution with n = 4 and p = 0.45 (the probability that a component fails in less than 1,000 hours is 0.45). The probability that none of the four components are operating is

P(Y = 0) = 0.45^4 = 0.0081

The probability that exactly one of the four components is operating is

P(Y = 1) = (4 choose 1) × 0.55 × 0.45^3 = 0.1789

Therefore, the probability that the subsystem fails is

P(failure) = P(Y = 0) + P(Y = 1) = 0.0081 + 0.1789 = 0.1870

So the probability that the subsystem operates longer than 1,000 hours is

P(success) = 1 - P(failure) = 1 - 0.1870 = 0.8130 (rounded to four decimal places).

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Answer: x=8in.

Step-by-step explanation: Every rhombus has two diagonals connecting pairs of opposite vertices, and two pairs of parallel sides.

Answer:

x = 3

Step-by-step explanation:

there are 4 right triangles inside the quadrilateral

area of 4 triangles

= 4 × \(\frac{1}{2}\) bh ( b is the base and h the height )

= 4 × \(\frac{1}{2}\) × 8 × x

= 2 × 8x

= 16x , then

16x = 48 ( divide both sides by 16 )

x = 3

The given value, 55%, is a statistic. A statistic is a numerical summary of a sample.

To determine whether it is a statistic or a parameter, we need to understand the definitions of these terms:

- Statistic: A statistic is a numerical value that describes a sample, which is a subset of a population. It is used to estimate or infer information about the corresponding population.

- Parameter: A parameter is a numerical value that describes a population as a whole. It is typically unknown and is usually estimated using statistics.

In this case, since the study includes all 3237 seniors at the college, the value "55%" represents the proportion of the entire population of seniors who own a computer. Therefore, it is a statistic.

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Answer:

the awnser is c

Step-by-step explanation:

first you take 41.20$ and you subtract you're 5%

therefore that gives you 39.14$

subtract 39.14$ from 41.20

and you get a left over of 2.06$

therefore c is you're awnser

A percentage is a number or ratio expressed as a fraction of 100.

The amount spent on shipping and handling charges is $2.06.

A percentage is a number or ratio expressed as a fraction of 100.

Example:

50% = 50 / 100 = 1/2

20% = 20 / 100 = 1/5

25% = 25 / 100 = 1 / 4

10% = 10 / 100 = 1 / 10

We have,

Total spending on books = $41.20

Shipping and handling charges = 5% of $41.20

The amount spent on shipping and handling charges:

= 5% of $41.20

= 5/100 x 41.20

= 5/100 x 4120/100

= 5 x 4120 / 10000

= 20600 / 10000

= $2.06

Thus the amount spent on shipping and handling charge is $2.06.

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Answer: 1 5/12 cups of flour leftover

Step-by-step explanation: First, add 4 2/3 + 5 1/4. This gives you 9 11/12. 9 11/12 - 8 1/2 = 1 5/12.

The baker has \(1\frac{5}{12}\) cups of flour left after making the sheet cake.

A fraction represents a part of a whole.

Given that  baker needs \(8\frac{1}{2}\) cups of flour for a sheet cake recipe.

Baker has  \(4\frac{2}{3}\) cups of flour in a canister and buys \(5\frac{1}{4}\) cups more.

The flour he has in total =  \(4\frac{2}{3}\) +  \(5\frac{1}{4}\)

=14/3 +21/4

=56+63/12

=119/12

To find how much flour the baker has left after making the sheet cake, we can subtract the amount needed from the total amount:

119/12 - 17/2 = (119 - 102) / 12 = 17/12

Therefore, the baker has \(1\frac{5}{12}\) cups of flour left after making the sheet cake.

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Answer:

1.sector 2. chords

Step-by-step explanation:

chord of a circle is a straight line segment whose endpoints both lie on a circular arc. ... More generally, a chord is a line segment joining two points on any curve, for instance, an ellipse. A chord that passes through a circle's center point is the circle's diameter.

In each scenario, the choice between mean and median as a representative measure of central tendency depends on the nature of the data and the specific context..

1. Scenario: Income distribution of a population

- If the income distribution is skewed or contains extreme values (outliers), the median would be a better representation of the central tendency. This is because the median is not influenced by outliers and provides a more robust estimate of the "typical" income level. However, if the income distribution is approximately symmetric without outliers, the mean can also be an appropriate measure.

2. Scenario: Exam scores in a class

- If the exam scores are normally distributed without significant outliers, the mean would be a suitable measure as it takes into account the value of each score. However, if there are extreme scores that deviate from the majority of the data, the median may be a better representation. This is especially true if the outliers are indicative of errors or exceptional circumstances.

3. Scenario: Housing prices in a city

- In this case, the median would be a more appropriate measure to represent the central tendency of housing prices. This is because the housing market often exhibits a skewed distribution with a few high-priced properties (outliers). The median, being the middle value when the data is sorted, is not influenced by these extreme values and provides a better understanding of the typical housing price in the city.

Ultimately, the choice between mean and median depends on the specific characteristics of the data and the objective of the analysis. It is important to consider the distribution, presence of outliers, and the context in which the data is being interpreted.

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Answer:

3/5

Step-by-step explanation:

m = y2-y1 / x2 - x1

6-3 / 3 - -2 = 3/5

Answer:

m= \(\frac{3}{5}\)

hope this helps!

Step-by-step explanation: