What is the second derivative of x\(\sqrt{x+3}\)?

1. x≤5 Work: 2x+9≤19 move the constant to the right then its 2x≤19-9, then subtract the numbers and it would be 2x≤10, then divide both sides of the inequality by 2 which gives you the final answer of x≤5

2. x≥19 Work: x-7≥12 move the constant to the right then its x≥12+7, then add the numbers and get your final answer of x≥19

3. x≤4 Work: Divide both sides of the inequality by -3 and flip the inequality sign and that gives you -3÷(-3)≤-12÷(-3) and divide that which gives you x≤4

4. x<-3 Work: move the constant to the right which gives you -5x>16-1, then subtract to get -5x>15 and divide both sides of the inequality by -5 and flip the inequality sign to get x<-3

Note: This Took Forever LOL

Answer:

2 1/4 hrs

Step-by-step explanation:

2 1/4 th of an hour passes between 2:24pm and 4:40pm

Between 2:24pm and 4:40pm 2.26 part of hours has been passed.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, What part of an hour passes between 2:24 pm and 4:40 pm.

Now (4 : 40 - 2 : 24 ) = 2 and 16 minutes.

16 minutes is 16/60 = 4/15 or 0.26 hours.

So, in total (2 + 0.26) = 2.26 part of an hour have been passed.

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Answer:

k=1

Step-by-step explanation:

\(3k + 8 = 11\\\)

Subtract 8 from both sides

\(3k = 3\)

Divide

\(\frac{3k}{3} = \frac{3}{3}\)

Simplify

\(k =1\)

Answer:

k=1

Step-by-step explanation:

Answer:

in step 3, 6 shoupd be substituted for x not for y

and

y= -9

Answer:

The correct answer is :

Range is: {1000,1100,1200,1300,1400,1500,1600}

Step-by-step explanation:

We are given here input-output table.

Let us define the domain and range of a function.

Domain is the set of values that can be given as input to the function.

and

Range is the set of values that comes out as the output of the function.

For example:

\(y = f(x) = 2x\)

The domain of the function above is the set of values of x.

The range of function is the value of y or f(x).

For above example, range can be set of all Real numbers i.e. R.

Range for the above example will also be set of all Real numbers i.e. R.

From the given table in the question statement:

Input or Domain = {10,20,30,40,50,60,70}

Output or Range = {1000,1100,1200,1300,1400,1500,1600}

To test the hypothesis H₁: μx = μy versus Hoxy, where μx and μy represent the means of X and Y respectively, we can perform a two-sample t-test. The test compares the means of two independent samples to determine if they are significantly different from each other.

The given information provides the sample means (X = 33.8, Y = 32.5) and the sample standard deviations (Sx = 3.9, Sy = 5.1). The sample sizes for both X and Y are n = m = 25.

Using this information, we can calculate the test statistic, which is given by:

t = (X - Y) / sqrt((Sx^2 / n) + (Sy^2 / m))

Plugging in the values, we get:

t = (33.8 - 32.5) / sqrt((3.9^2 / 25) + (5.1^2 / 25))

Next, we need to determine the degrees of freedom for the t-distribution. Since the sample sizes are equal (n = m = 25), the degrees of freedom for the test is given by (n + m - 2).

Using the t-distribution table or software, we can find the critical value corresponding to a significance level of α = 0.05 and the degrees of freedom.

Finally, we compare the calculated test statistic with the critical value. If the test statistic falls within the rejection region (i.e., the absolute value of the test statistic is greater than the critical value), we reject the null hypothesis. The p-value can also be calculated, which represents the probability of observing a test statistic as extreme or more extreme than the calculated value, assuming the null hypothesis is true.

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Answer:

Step-by-step explanation:

y=10

Answer:

θ ≈ 50°, AB ≈ 15.6

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanθ = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AC}\) = \(\frac{11.9}{10}\) = 1.19 , then

θ = \(tan^{-1}\) (1.19 ) ≈ 50° ( to the nearest degree

-----------------------------------------------------------------

Using the cosine ratio in the right triangle

cos50° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{AC}{AB}\) = \(\frac{10}{AB}\) ( multiply both sides by AB )

AB × cos50° = 10 ( divide both sides by cos50° )

AB = \(\frac{10}{cos50}\) ≈ 15.6 ( to 1 dec. place )

The Montana outlook poll was a study conducted by the Bureau of Business and Economic Research, University of Montana in 1993.

A sample of 209 Montana residents were classified according to their age group, their sex, their income group, their political affiliation, the area of the state they lived in, whether they expected their personal finances to improve, and whether they expected the state's financial situation to improve. This poll was conducted to gather information about Montana's residents' opinions, attitudes, and beliefs about the state's economic conditions, as well as their personal financial situation.

The study aimed to provide policymakers with accurate data that they could use to make informed decisions about economic policies. The poll found that Montana residents were optimistic about the state's economic future, with more than half expecting their personal finances to improve in the coming year. The poll also found that residents' political affiliation played a significant role in their economic outlook, with Democrats more likely to be optimistic about the state's economic future than Republicans.

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Answer:

Individual                     |

Population                   |

Community                  |

Ecosystem                   |

Biosphere                   V

Step-by-step explanation:

Answer:

population

community

ecosystem

biosphere

Answer:

4 3/4

Step-by-step explanation:

8 1/2=8 2/4

8 2/4-3 3/4= 4 3/4

If 1 book cost $7, 3 books will cost: 3*$7 = $21. (Multiplying)

The answer is $21.

Answer:

The correct answer is B. 20,000

Step-by-step explanation:

To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."

According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:

0.33x = 6600

To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:

x = 6600 / 0.33

Evaluating the right side of the equation gives:

x ≈ 20,000

Therefore, the man's total monthly salary is approximately Birr 20,000.

Hence, the correct answer is B. 20,000.

In this case, with the car's angle of sight increasing from 30 degrees to 45 degrees after traveling 10 miles, we can calculate that the height of the tower is approximately 5.77 miles or 30,461.76 feet.

1. To determine the height of the tower, we can use the tangent function, which relates the angle of elevation to the height and distance. Let's assume the height of the tower is represented by 'h'. When the car is at the starting point, the tangent of 30 degrees is equal to the height of the tower divided by the distance between the car and the tower (10 miles). So, we have tan(30) = h/10.

2. Similarly, when the car is 10 miles away from the starting point, the tangent of 45 degrees is equal to the height of the tower divided by the distance between the car and the tower (20 miles, considering the 10-mile distance already covered). So, we have tan(45) = h/20.

3. Now, we can solve these equations simultaneously to find the value of 'h'. By rearranging the equations, we get h = 10 * tan(30) and h = 20 * tan(45). Calculating these values, we find that h is approximately 5.77 miles or 30,461.76 feet.

4. Therefore, the height of the tower is approximately 5.77 miles or 30,461.76 feet.

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Answer:

Step-by-step explanation:

If she can husk 8 in 24mins

⟩ 8 = 24

Let x = ears of corn in 33mins

⟩ 8 = 24

x = 33

If less more divide

⟩ 24x = 8×33

⟩ x = 264÷24

⟩ x = 11 mins

Answer:

9/4

Step-by-step explanation:

2 1/4 = 4x2+1/4 = 9/4

Main Answer:The approximate probability is 0.033

Supporting Question and Answer:

How do we calculate the expected average and standard deviation for a sample?

To calculate the expected average and standard deviation for a sample, we need to consider the characteristics of the population and the sample size.

Body of the Solution:

a) To find the expected average amount of the waiter's tips, we can use the fact that the mean of the sample means is equal to the population mean. Since the mean of the tips is given as 7 dollars, the expected average amount of his tips is also 7 dollars.

b) The standard deviation for the average amount of the waiter's tips, also known as the standard error of the mean, can be calculated using the formula:

Standard deviation of the sample means

= (Standard deviation of the population) / sqrt(sample size)

In this case, the standard deviation of the population is given as 2 dollars, and the sample size is 30. Plugging these values into the formula, we have:

Standard deviation of the sample means = 2 / sqrt(30) ≈ 0.365

Therefore, the standard deviation for the average amount of the waiter's tips is approximately 0.365 dollars.

c) To find the approximate probability that the average amount of the waiter's tips is less than 6 dollars, we can use the Central Limit Theorem, which states that for a large sample size, the distribution of sample means will be approximately normal regardless of the shape of the population distribution.

Since the sample size is 30, which is considered relatively large, we can approximate the distribution of the sample means to be normal.

To calculate the probability, we need to standardize the value 6 using the formula:

Z = (X - μ) / (σ / sqrt(n))

where X is the value we want to standardize, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Plugging in the values, we have:

Z = (6 - 7) / (2 / sqrt(30)) ≈ -1825

Using a standard normal distribution table or a calculator, we can find the probability associated with this z-score. The approximate probability that the average amount of the waiter's tips is less than 6 dollars is approximately 0.033.

Final Answer:Therefore, the approximate probability is 0.033, accurate to three decimal places.

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The approximate probability is 0.033

To calculate the expected average and standard deviation for a sample, we need to consider the characteristics of the population and the sample size.

a) To find the expected average amount of the waiter's tips, we can use the fact that the mean of the sample means is equal to the population mean. Since the mean of the tips is given as 7 dollars, the expected average amount of his tips is also 7 dollars.

b) The standard deviation for the average amount of the waiter's tips, also known as the standard error of the mean, can be calculated using the formula:

Standard deviation of the sample means

= (Standard deviation of the population) / sqrt(sample size)

In this case, the standard deviation of the population is given as 2 dollars, and the sample size is 30. Plugging these values into the formula, we have:

Standard deviation of the sample means = 2 / sqrt(30) ≈ 0.365

Therefore, the standard deviation for the average amount of the waiter's tips is approximately 0.365 dollars.

c) To find the approximate probability that the average amount of the waiter's tips is less than 6 dollars, we can use the Central Limit Theorem, which states that for a large sample size, the distribution of sample means will be approximately normal regardless of the shape of the population distribution.

Since the sample size is 30, which is considered relatively large, we can approximate the distribution of the sample means to be normal.

To calculate the probability, we need to standardize the value 6 using the formula:

Z = (X - μ) / (σ / sqrt(n))

where X is the value we want to standardize, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Plugging in the values, we have:

Z = (6 - 7) / (2 / sqrt(30)) ≈ -1825

Using a standard normal distribution table or a calculator, we can find the probability associated with this z-score. The approximate probability that the average amount of the waiter's tips is less than 6 dollars is approximately 0.033.

Therefore, the approximate probability is 0.033, accurate to three decimal places.

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Answer:

it is C if I am not mistkin

When the thermometer reads 6 degrees the temperature drops 15 degrees overnight, the temperature at 9:00pm will be 16°.

What is a simple definition of temperature?

Given, the thermometer reads 6 degrees the temperature drops 15 degrees overnight the it rises 25 degrees at 9:00am.

Therefore, the temperature at 9:00pm will be:

=6° - 15° + 25°

= 16°

Therefore, the temperature at 9:00pm will be 16°.

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Patrick’s August finance charge will be $0.6717 more if it is calculated using the previous balance method.

Previous balance method: Interest charges are based on the amount owed at the beginning of the previous month's billing cycle.

Adjusted balance method: Based on finance charges on the amount(s) owed at the end of the current billing cycle after credits and payments have been posted.

The total amount on which interest will be applied using the previous balance method is;

\(= 1,466.22+28.48+40.00+31.76\\\\ = 1566.46\)

So, interest levied on this is;

\(= 1566.46 \times 15.40 \times \dfrac{30}{360} \times \dfrac{1}{100}\\\\=20.10\)

Now, the total amount on which interest will be applied using the adjusted balance method is;

\(= 1566.46-150.00-115.75\\\\=1300.71\)

So, interest levied on this is;

\(= 1300.71 \times 15.40 \times \dfrac{30}{360} \times \dfrac{1}{100}\\\\=16.69\)

The difference between charges by previous balance method and adjusted balance method is;

= 20.10 - 16.69 = 3.41

Hence, Patrick’s August finance charge will be $0.6717 more if it is calculated using the previous balance method.

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Answer:

Bottom right

Step-by-step explanation

Answer:

first answer is correct

Answer: ITS 10!!!!

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Total length of the fabric is \(6\dfrac{2}{3}=\dfrac{20}{3}\ \text{yards}\)

We need to find the number of scarves can she make if she needs 5/6 of a yard for each scarf.

Let she needs x scarves. So, ATQ

\(x\times \dfrac{5}{6}=\dfrac{20}{3}\\\\x=\dfrac{20}{3}\cdot\dfrac{6}{5}\\\\x=8\)

Hence, she can make 8 scarves.

Answer:

8

Step-by-step explanation:

the guy above me explained

False. The derivative of the function f(x) = 5sin(x) + cos(x) is not equal to -5cos(x) - sin(x). The correct derivative of f(x) can be obtained by applying the rules of differentiation.

To find the derivative, we differentiate each term separately. The derivative of 5sin(x) is obtained using the chain rule, which states that the derivative of sin(u) is cos(u) multiplied by the derivative of u. In this case, u = x, so the derivative of 5sin(x) is 5cos(x).

Similarly, the derivative of cos(x) is obtained as -sin(x) using the chain rule.

Therefore, the derivative of f(x) = 5sin(x) + cos(x) is:

f'(x) = 5cos(x) - sin(x).

This result shows that the derivative of f(x) is not equal to -5cos(x) - sin(x).

In summary, the statement that f'(x) = -5cos(x) - sin(x) is false. The correct derivative of f(x) = 5sin(x) + cos(x) is f'(x) = 5cos(x) - sin(x).

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The solution is, A and C are not independent.

B and C are not independent either.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

By the multiplication rule, the sampling space has possible outcomes.  

Let's compute P(A), P(B), P(C), P(A∩C), P(B∩C), P(A|C) and P(B|C).

As there are only two outcomes that does not have at least on tail in the first three tosses (H,H,H,H) and (H,H,H,T) then  

P(A) = 14/16 = 7/8

Similarly, as there are only two outcomes that does not have at least on head in the last three tosses (H,T,T,T) and (T,T,T,T) then  

P(A) = 14/16 = 7/8

A∩C and B∩C have 4 possible outcomes (T,H,T,T), (T,H,T,H), (H,H,T,T) and (H,H,T,H), so  

P(A∩C) = P(B∩C) = 4/16 = ¼

P(A) given C and P(B) given C have the following probabilities:  

P(A|C) = P(A∩C)/P(C) = 1

P(B|C) = P(B∩C)/P(C) = 1

Since P(A|C)≠P(A), A and C are not independent

Since P(B|C)≠P(B), B and C are not independent

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Answer:

hope this helps!

Step-by-step explanation:

hyp. is always opposite the right angle (the square)

opposite is always opposite the labelled angle (the rounded ones, with the 0 next to them)

The differential equation that models this situation is dx/dt = kx(M - x) (option c).

To determine the differential equation that models the situation, let's analyze the problem statement.

The rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized.

Let's denote the number of words memorized as "a" and the number of words not yet memorized as "M - a" (where M is the total number of words in the list).

The problem states that the rate of memorization is proportional to the product of "a" and "M - a". We can express this mathematically as:

Rate of memorization ∝ a * (M - a)

To convert this proportionality into an equation, we introduce a positive constant k:

Rate of memorization = k * a * (M - a)

The left side of the equation represents the rate of change of the number of words memorized (da/dt), and the right side represents the product of "a" and "M - a" multiplied by the constant k.

Therefore, the differential equation that models this situation is:

da/dt = k * a * (M - a)

Comparing this with the given options, we can see that the correct choice is option C:

dx/dt = k * x * (M - x)

The complete question is:

At any time t > 0 the rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized. If a denotes the number of words memorized at time t, which differential equation models this situation? Assume k is a positive constant.

A. dx/dt = kx

B. dx/dt = kx(x - M)

C. dx/dt = kx(M - x)

D. dx/dt = kt(M - t)

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