Jason and Alison are hiking in the woods when they spot a rare owl in a tree. Jason stops and measures an angle of elevation of 22°8'6''.

Answer:

c

Step-by-step explanation:

the number of bacteria is introduced

The function B(x) = 70000(0.5)ˣ, where x represents the number of 4 hour periods, represents the amount of bacteria present after the antibiotic is introduced. Therefore, option D is the correct answer.

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

In any situation where an amount grows or declines by a set percent every time period can be represented using an exponential function.  Since the amount of bacteria is reduced by half, or 50%, every 4 hours, this is exponential decay.

Exponential functions such as this are of the form

y = a(1+r)ˣ, where a represents the initial population, r is the percent of growth or decrease, and x is the number of time periods.  In this situation, the initial population, a, is 70000.  Since the number of bacteria decreases by half, r = -0.50.  This gives us

y = 70000(1+-0.50)ˣ, or y = 70000(0.50)ˣ.

In 24 hours, there are 6 4-hour periods.  This means x = 6; this gives us

y = 70000(0.50)⁶ = 1093.75.

Therefore, option D is the correct answer.

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The points (2, 2), (4, - 2), (- 6, - 2), (- 2, 4) are examples of ordered pairs on the coordinate plane.

Coordinate planes are generated by the intersection of two orthogonal axes, a "horizontal" (x-axis) and a "vertical" (y-axis), at a point known as origin. These axes creates four regions known as quadrants, which are introduced in the image attached below.

All the ordered pairs are points of the form (x, y), where x and y represent the orthogonal positions of the point with respect to the origin. Now we proceed to present four examples of ordered pairs, each located in each quadrant: (2, 2), (4, - 2), (- 6, - 2), (- 2, 4).

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The sum of both angles must be 180°, therefore:

(2x+24) + (4x+36) = 180°

6x + 60 = 180°

6x = 120°

x = 120/6 = 20°

Then, the smaller angle is 2*20 + 24 = 64

For the ratio of the average flux for e > 45 degrees to the omnidirectional flux, we divide the flux per solid angle for the directional case by the flux per solid angle for the omnidirectional case.

To find the ratio of the average flux for e > 45 degrees to the omnidirectional flux in a pancake distribution of sin(a) where a = 0, we need to calculate the directional flux, omnidirectional flux, directional solid angle, and omnidirectional solid angle.

Directional Flux:

The directional flux is the flux within a specific direction or range of angles. In this case, we are interested in e > 45 degrees.

Omnidirectional Flux:

The omnidirectional flux is the total flux in all directions or over the entire solid angle.

Directional Solid Angle:

The directional solid angle is the solid angle subtended by the specified direction or range of angles. In this case, it would be the solid angle corresponding to e > 45 degrees.

Omnidirectional Solid Angle:

The omnidirectional solid angle is the total solid angle subtended by all possible directions or over the entire sphere.

To find the flux per solid angle for both the directional and omnidirectional cases, we can use the formula:

Flux per Solid Angle = Total Flux / Solid Angle

Finally, to find the ratio of the average flux for e > 45 degrees to the omnidirectional flux, we divide the flux per solid angle for the directional case by the flux per solid angle for the omnidirectional case.

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Answer:

Assume we want to find the solution to this system of equations.

The solution is (2,-2)

Step-by-step explanation:

We can find the solution either mathematically or by graphing.  I'll do both.

Math:

Rearrange:

-2x-6y=8

-6y=8 +2x

y = -(1/3)x -(4/3)

---

Now use this expression of y in the second equation:

-6x-6y=0

-6x-6(-(1/3)x -(4/3)) =0

-6x + 2x +8 =0

-4x = - 8

x = 2

---

Use x = 2 in the first equation to find y:

y = -(1/3)x -(4/3)

y = -(1/3)*(2) -(4/3)

y = -(2/3) -(4/3)

y = -(6/3) or -2

The solution is (2,-2)

===============

Graphing:

See attached graph.

Answer:

Step-by-step explanation:

-2x - 6y = 8

6x + 6y = 0

4x = 8

x = 2

-4 - 6y = 8

-6y = 12

y = -2

(2, -2)

The running time is O(n log(n)) since we sort two vector.

We solve the problem with the following algorithms:  

1. Order A is in the increasing order.

2. Order B is in the decreasing order.

3. Return (A,B).

We must demonstrate that this is the best answer. without sacrificing generality, we can assume that a₁ ≤ a₂ ......≤ aₙ in the optimal solution.

Since the payoff is \(\prod_{i}^{n}=1^{a_{i}^{bi}}\), the payoff will always increase if we make a change so that \(b_{i+1} > b_{i}\).

Therefore the optimal solution will be found if B is sorted.

Thus, the running time is O(n log(n)) since we sort two vector.

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The function is

The given function is an exponential function.

A characteristic of these type of function is that it never crosses the x-axis.

If the base is between 0 and 1 and positive, then the function will be always over the x-axis.

The greater the value of x, the more close it would come to the x-axis but it will never reach it, this is called an horizontal asympote.→ since it has an horizontal asympote it will never be zero, it means that it does not have a minimum value, it just keeps decreasing until infinity.

Answer:

40°

Step-by-step explanation:

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➡2/√3= 8/x

➡x= 8√3/2

➡x= 4√3

➡Hence, required answer is 4√3

Answer:

The answer is "K= 102"

Step-by-step explanation:

Given:

Number of employees = 7128

sample size =70

k=?

Formula:

\(\to K= \frac{\text{Number of employees}}{\text{sample size}} \\\\\)

        \(= \frac{7148}{70} \\\\= 102.11\ \ \ \ or \ \ \ 102\)

Answer: 44 boys and 40 girls

Step-by-step explanation:

x = number of girls

x + 4 = number of boys

x + x + 4 = 84

2x + 4 = 84

2x = 80

x = 40

84 - 40 = 44

All of these fractions are equivalent to a number greater than 26, none of them is not equivalent to 26

To determine which fraction is not equivalent to 26, convert each fraction to a decimal or mixed number and compare it to 26.

131/3 = 43.666

123612/36 = 3433

4124/12 = 343.666

696/9 = 77.333

Since all of these fractions are equivalent to a number greater than or equal to 26, none of them is not equivalent to 26. Therefore, the answer is "none of the above".

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If two events, event A with probability P(A) and event b with probability P(B) are complementary events then the sum of the probability of events A and B will be one.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

When one event happens if and only if the other one doesn't, two occurrences are said to be complimentary. The odds of two complementary events equal one.

P(A) + P'(A) = 1

The chance of events A and B added together will equal one if events A with probability P(A) and event B with probability P(B) are complementary occurrences.

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The time is needed between injections is 3.6 hours, i.e., the drug is to be injected again when the number of milligrams reaches 6 mg.

We have the exponential function of number of milligrams D (ht) of a certain drug that is in a patient's bloodstream h hours after the drug is injected is

\(D(h)=25 {e}^{ - 0.4 h}\)

We have to solve for h (the numbers of hours) that would have passed when the D(h) (the amount of medication in the patient's bloodstream) equals 6 mg in order to know when the patient needs to be injected again.

\(6 = 25 {e}^{ - 0.4h} \)

\( \frac{6}{25} = \frac{25}{25} {e}^{ - 0.4h} \)

\(0.24= {e}^{ - 0.4h} \)

Taking logarithm both sides of above equation , we get,

\( \ln(0.24) = \ln( {e}^{ - 0.4h)} \)

Using the properties of natural logarithm,

\( \ln(0.24) = - 0.4h\)

\( - 1.427116356 = - 0.4h\)

\(h = \frac{1.42711635}{0.4} = 3.56779089\)

=> h = 3. 6

So, after 3.6 hours, the patient needs to be injected again.

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The value of ∠CBD is  68° and the value of ∠ABC is 22°

Given

Angle CBD = 4x + 52

Angle ABC = 8x − 10

If BA is perpendicular to BD, then ∠BAD = 90°

∠BAD = ∠CBD + ∠ABC

On substituting this values into the formula:

4x + 52 +  8x − 10 = 90

12x + 42 = 90

Add -42 to both sides

12x + 42 - 42 = 90 -42

12x = 48

x = 48/12

x = 4°

Here,

∠CBD = 4x + 52

∠CBD = 4 x 4 + 52 = 16 + 52 = 68°

Then,

∠ABC = 8x − 10

∠ABC = 8 x 4 − 10 = 32 - 10 = 22°

That is,

The value of ∠CBD is  68° and the value of ∠ABC is 22°

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Answer:

68 degrees

Step-by-step explanation:

got it right on khan academy

The yy-component of vector a a is -y-direction, which is equal to 0 m/s2.the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.

Given a vector, a⃗ a→ = (5.0 m/s2, −y−direction)Find the yy -component of the given vector a⃗ a→.Solution: The yy-component of the given vector a⃗ a→ = -y-directionTo find the yy-component of the given vector a⃗ a→, we have to take the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.Therefore, the yy-component of vector a⃗ a→ is :a_yy = -y-direction = (-1)(0) = 0 m/s²  Answer: 0 m/s².

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The yy-component of vector a⃗ a→ is -y-direction.

The yy-component of a vector represents the magnitude of the vector in the y-direction.

In this case, the vector a⃗ a→ is given as (5.0 m/s2, −y-direction).

Since the yy-component is the magnitude in the y-direction, the yy-component of the vector a⃗ a→ is -y-direction.

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Answer:

\(f = 2.48\)

Step-by-step explanation:

Step 1:  Subtract 4.02 from both sides

\(f + 4.02 = 6.5\)

\(f + 4.02 - 4.02 = 6.5 - 4.02\)

\(f = 2.48\)

Answer:  \(f = 2.48\)

Hope this helps!  Let me know if you have any questions

The approximate probability that the average price for 16 gas stations is over $4.69 is equals to the almost zero. Therefore, correct answer is option (a).

Under statistics, a z-score or standard score is used to identify how far from the population mean a given data point or raw score is. The following variation of the z-score formula,

z= ( x −μ)/σ/√n

Where, x--> observation score

μ-->mean

σ--> standard deviation

n--> number of sample

We have cost of unleaded gasoline in the area once will follow an unknown distribution,

Mean, μ= $4.59

Standard deviations, σ = $0.10

Sample size, n = 16

Observed value, x = $4.69

We have to calculate approximate probability for average price for 16 gas stations is over $4.69, i.e., P(x >4.69). Using the z-score formula,

P( (x −μ)/σ/√n > ( 4.69 - 4.59)/0.10/√16)

=> P(z > (4.69- 4.59)/0.10/√16)

=> P(z > 0.10/0.10/√16)

=> P(z >4) = 1 - P( z< 4)

Using the z-table, the approximate value of P(z < 4 ) is 0.999. Also, P( x> 4.69 )

= P( z>4) = 1 - 0.999 ~ 0.

Hence, required probability is almost zero.

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The number you should pick is 7

To determine the best number to pick, we need to analyze the probabilities of rolling each possible sum.

The 6-sided dice can produce numbers from 1 to 6, and the 10-sided dice can produce numbers from 1 to 10. The maximum possible sum is 6 + 10 = 16.

We can calculate the probabilities of each sum by considering all the possible combinations of numbers on the dice.

Here is a table showing the sums and their corresponding probabilities:

Sum  Probability

2      1/60

3     2/60

4          3/60

5     4/60

6     5/60

7     6/60

8     5/60

9     4/60

10     3/60

11     2/60

12      1/60

13-16 0

To determine the best number to pick, we need to consider the probabilities of winning for each sum. The higher the probability, the better chance of winning.

By examining the probabilities, we can see that the sums with the highest probabilities are 7  with a probability of 6/60 or 1/10.

Therefore, if you want to maximize your chances of winning, you should pick 7 as your guess.

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If we are standing at a personal distance from someone, you are typically 18 inches to 4 feet apart. This range allows for comfortable interaction while still maintaining a sense of personal space.

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If you are standing a personal distance from someone, you are typically 18 inches to 4 feet apart. This range is commonly referred to as the "personal space" or "social distance" zone.

personal distance can vary depending on cultural norms and individual preferences. However, in general, this distance is considered a comfortable distance for conversation and interaction with friends, family, and acquaintances.

If you are standing closer than 18 inches, it is considered the "intimate distance" zone and typically reserved for romantic partners or close family members. If you are standing farther than 4 feet, it is considered the "public distance" zone and typically used for formal interactions or public speaking.

the distance between you and someone else when standing a personal distance away is typically between 18 inches to 4 feet. However, it is important to remember that personal distance can vary and be influenced by cultural norms and individual preferences. This long answer provides a comprehensive explanation of personal distance and its various zones.

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Answer: -4.1

Step-by-step explanation:

0.4 - 4.5 = -4.1

143.25 °

is the correct answer.

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Answer:

you are from the school pinecrest glades arent you?? >:(

Step-by-step explanation:

A key requirement for the process of testing hypotheses in the scientific method is experimentation. A hypothesis is an idea or explanation for a phenomenon that is grounded in existing knowledge or observations, and the scientific method involves testing those hypotheses through experimentation.

The process of testing hypotheses requires the development of a testable hypothesis, the design of experiments to test the hypothesis, and the collection and analysis of data from those experiments to evaluate the hypothesis. The experiments must be designed carefully, with appropriate controls and variables to ensure that the results are reliable and valid. Scientists also need to communicate their findings to the scientific community, which involves publishing their results in scientific journals and presenting their work at conferences.

This helps to ensure that other scientists can replicate their experiments and validate their findings, which is a critical part of the scientific process. Ultimately, the process of testing hypotheses is essential for advancing scientific knowledge and understanding how the world works.

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Answer:For random variable X~N(3,0.75), what is the probability that X takes on a value within two standard deviations on either side of the mean?

Step-by-step explanation:

Answer: About 0.2 gallons

Step-by-step explanation: 4/18=0.2 repeating, so each person gets about 0.2 gallons.

Each of her friend will get 4 and a half gallons of juice.

Division is one of the four main arithmetical operations by which we find the equal distribution of something.

Given that, At Lara's party, 4 gallon of fruit punch are shared equally among 18 friend.

To find how much each of them got, we will divide total amount of punch  by total number friends

Amount of juice each of them gets, = 18/4 = 4.5

Hence,  Each of her friend will get 4 and a half gallons of juice.

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The hypothesis test to conduct in this situation is a two-sample test for

means, specifically a paired-sample t-test.

This is because the same group of workers is being tested twice, under

two different conditions: without exercise breaks and with exercise breaks.

The two sets of data are dependent because they are coming from the

same group of individuals, and the goal is to determine if there is a

statistically significant difference in their well-being between the two

conditions.

A paired-sample t-test is appropriate because it can compare the means of

two related samples, and it takes into account the correlation between the

data points in each sample.

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