Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) integral (1/(xV(4x^2 + 49)) dx

The range of x are;

1. x < -30

2. x > 8

3. x > 15

4. x < -2

A relationship between two expressions or values that are not equal to each other is called 'inequality.

1. -130 > 50x +20

-130-20> 50x

-150 > 50x

-150/50 > x

-30 > x

x < -30

2. -8(x-3) < -40

-8x +24< -40

collect like terms

-8x < -64

x > -64/-8

x > 8

3. 2x - 22 > 8

collect like terms

2x > 30

divide both sides by 2

x > 30/2

x > 15

4. -35 < -5(x+9)

-35 < -5x -45

collect like terms

10 < -5x

-2 > x

x < -2

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Explanation:

Notice how the input 5 leads to the output 3 when we look at the S(x) function. The inverse will undo this. So that must mean the answer is choice A where we have the input 3 lead to the output 5. In short, the inputs and outputs swap places. This means the domain and ranges swap.

the answer is A plus or minus square root of 50

if a set S contains a countable set, then it is in one-to-one correspondence with a proper subset of itself.

To prove that if a set S contains a countable set, then it is in one-to-one correspondence with a proper subset of itself, we can use Cantor's diagonal argument.

Let's assume that S is a set that contains a countable set C. Since C is countable, we can list its elements as c1, c2, c3, ..., where each ci represents an element of C.

Now, let's construct a proper subset E of S as follows: For each element ci in C, we choose an element si in S that is different from ci. In other words, we construct E by taking one element from each pair (ci, si) where si ≠ ci.

Since we have chosen an element si for each ci, the set E is constructed such that it contains at least one element different from each element of C. Therefore, E is a proper subset of S.

Now, we can define a function f: S → E that maps each element x in S to its corresponding element in E. Specifically, for each x in S, if x is an element of C, then f(x) is the corresponding element from E. Otherwise, f(x) = x itself.

It is clear that f is a one-to-one correspondence between S and E. Each element in S is mapped to a unique element in E, and since E is constructed by excluding elements from S, f is a proper subset of S.

Therefore, we have proved that if a set S contains a countable set, then it is in one-to-one correspondence with a proper subset of itself.

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what are the answer choices?

Answer:

youngest=115

middle=150

elder=230

Step-by-step explanation:

let the youngest be x

the middle will be x+35

the oldest will be 2x

x+x+35+2x=495

4x+35=495

4x=495-35

4x=460

x=115

since the youngest is x,the money he will receive is $115.

the middle will be x+35 which is equal to 115+35=$150.

lastly the oldest will be 2x which is equal to 2×115=$230.

Answer:

Defined variables:

Y - amount the youngest son gets

M - amount the middle son gets

O - amount the oldest son gets

Y got $115

M got $150

O got $230

Step by Step explaination:

If Y is the youngest, then the middle son, M = Y + $35 since the middle child gets $35 more than the youngest gets. The oldest son, O = 2Y since it’s twice the amount the youngest gets.

If you add each of those up, the equation you get is 2Y + (Y+$35) + Y = $495. Now you can solve for Y, the youngest son.

2Y + (Y+$35) + Y = $495

4Y + $35 = $495

4Y = $460

Y = $115

If Y gets $115 and M gets $35 more, M gets $150.

If Y gets $115 and O gets twice that amount, O gets $230.

To double check my work add 230 + 115 + 150. This equals $495. Hope this helps!

Answer:

1,500,000

Step-by-step explanation:

The probability is zero because the events are mutually exclusive, and it is not possible for both events to occur at the same time.

If events A and B are disjoint or mutually exclusive, it means that they cannot occur at the same time. In other words, if event A happens, event B cannot happen, and vice versa. In such cases, the probability of both A and B occurring simultaneously is zero.

When events are mutually exclusive, the rule of addition applies. According to this rule, the probability of the union of two mutually exclusive events is the sum of their individual probabilities.

Therefore, if A and B are disjoint events with probabilities 0.3 and 0.6 respectively, the probability of both A and B occurring simultaneously is:

P(A and B) = 0

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The probability that the elevator is overloaded because 10 adult male passengers have a mean weight greater than 157 lb is 0.2257. This indicates that there is a good chance that the elevator will exceed its capacity. Therefore, the elevator does not appear to be safe.

To determine the probability of the elevator being overloaded, we need to consider the distribution of the mean weight of 10 adult male passengers. Since we are given that the weights of males are normally distributed with a mean of 162 lb and a standard deviation of 27 lb, we can use these parameters to calculate the probability.

The mean weight of 10 adult male passengers can be calculated by dividing the maximum capacity of the elevator (1570 lb) by the number of passengers (10), which gives us a mean weight of 157 lb.

Next, we need to calculate the standard deviation of the mean weight. Since we are dealing with a sample of 10 passengers, the standard deviation of the sample mean can be calculated by dividing the standard deviation of the population (27 lb) by the square root of the sample size (√10). This gives us a standard deviation of approximately 8.544 lb.

Now, we can use the normal distribution to find the probability that the mean weight of 10 adult male passengers is greater than 157 lb. We need to calculate the z-score, which represents the number of standard deviations away from the mean. The z-score is calculated by subtracting the mean weight (157 lb) from the population mean (162 lb) and dividing it by the standard deviation of the sample mean (8.544 lb).

z = (162 - 157) / 8.544 ≈ 0.5867

Using a standard normal distribution table or a calculator, we can find the probability associated with a z-score of 0.5867, which is approximately 0.2257.

This means that there is a 22.57% probability that the mean weight of 10 randomly selected adult male passengers will exceed the weight limit of the elevator. Therefore, the elevator does not appear to be safe, as there is a significant chance of it being overloaded under these conditions.

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It takes the seagull less time to travel a longer distance.

The owl has a speed of 11 1/9 miles per hour.

The seagull has a speed of 18 3/4 miles per hour.

18 3/4 miles per hour is greater than 11 1/9 miles per hour, so the seagull is faster.

In Mathematics and Science, speed is the distance covered by a physical object per unit of time. In Mathematics and Science, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

Next, we would determine the speed of the owl as follows;

Speed of owl = (8 1/3)/(3/4)

Speed of owl = (25/3)/(3/4)

Speed of owl = 25/3 × 4/3

Speed of owl = 100/9 or 11 1/9 miles per hour.

For the speed of the seagull, we have:

Speed of seagull = (12 1/2)/(2/3)

Speed of seagull = (25/2)/(2/3)

Speed of seagull = 25/2 × 3/2

Speed of seagull = 75/4 or 18 3/4 miles per hour.

In conclusion, we can reasonably infer and logically deduce that the seagull is faster because it took less time to travel a longer distance.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

It takes the seagull LESS time to travel a LONGER distance.

Answer:

4.08, 480, 4080, 4800

Step-by-step explanation:

The logarithmic form is written as logₐ(X)=b. It is a rearrangement of the exponential form, aᵇ=X.

What is Logarithmic Form?

The logarithmic form is written as logₐ(X)=b. It is generally the rearrangement of the exponential form, aᵇ=X. Any exponential equation can be written as a logarithm. The logarithmic form is mostly used to calculate an exponent of an equation. The logₐ(X)=b. is read as “log base a of X equals b“.

The logarithmic form is simply a rearrangement of an equation written in exponential form. The same numbers are used but they are written in a different order. The word log is written which implies that the logarithm function is being used.

Therefore, If the logarithmic form is logₐ(X)=b. then it is a rearranged as the exponential form as aᵇ=X.

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Answer:

AA   as the angles are similar the sides are not similar so AA is the answer

Step-by-step explanation:

Answer:

3.90

Step-by-step explanation:

Answer:

70 seconds

I think that's what you are looking for?

Answer:c the third one

Step-by-step explanation: because i did it!

The amount of Chemical  B needed is 1.6 g.

This refers to a diagram that shows a series of one or more points, lines, line segments, curves, or areas that represents the variation of a variable when compared with that of one or more other variables.

The quantity of Chemical B is plotted against the quantity of  Chemical A.

Chemical B  is plotted on the vertical axis using the scale of 1 cm to represent 2 units. Chemical A is plotted on the horizontal axis using the scale of 1 cm to represent 1 unit.

Therefore, on the graph, the line passing through the origin of the graph shows that when  1.4 g of Chemical A is used  1.6 g of Chemical B is needed.

Chemical B  is plotted on the vertical axis using the scale of 1  cm to represent 2 units.

To get the amount of Chemical B is  on vertical axis =  2 grams

                                                                                             5 boxes

                                                                                       =0.4 g

Tracing the mass of Chemical A used 1.4 g it meets the line passing through the center at 4th line (4th box).

To get the amount of Chemical B is  on vertical axis = amount of Chemical B per box * the number of line (boxes).

To get the amount of Chemical B is  on vertical axis = 0.4 g * 4 lines (boxes)

                                                                                        = 1.6 g

Hence The amount of Chemical  B needed is 1.6 g.

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Answer:

I don't get the question please mark me brainliest

Answer:

The formula for the volume of a hemisphere is:

V = (2/3) * pi * r^3

where

V = 10,109.25 cubic millimeters

Solving for r:

r = [(3V) / (4pi)]^(1/3)

r = [(3 * 10,109.25) / (4 * pi)]^(1/3)

r = 16.9 mm (rounded to the nearest tenth)

Therefore, the radius of the hemisphere to the nearest tenth is 16.9 mm.

So, the answer is B-16.9mm.

Answer: $50,750

Step-by-step explanation: To get the percentage of a number, you need to turn the percent into a decimal, then multiply it with the number you need the percentage of. 35% translates into 0.35. Then you would multiply 145,000 by 0.35, getting 50,750 as your answer!

B. \(6 {x}^{3} + 5 {x}^{2} - 9x + 18\) ✅

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)

\((6 {x}^{3} + 3 {x}^{2} + 8) + (2 {x}^{2} - 9x + 10) \\ = 6 {x}^{3} + 3 {x}^{2} + 2 {x}^{2} - 9x + 8 + 10 \\ = 6 {x}^{3} + 5 {x}^{2} - 9x + 18\)

\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}\)

The 25th percentile is 35 and the 60th percentile is 46.

Given,

The following are the ages of 15 of the signers of the declaration of Independence 47, 46, 54, 31, 50, 46, 27, 62, 40, 39, 50, 44, 35, 30, and 41 Send data to Excel Find 25th and 60th percentiles for these ages.

(a) 25th percentile = (n + 1) * Pth value

                             = (15 + 1) * 0.25th value

                             = 4th value

                             =35

(b) 60th percentile = (n + 1) * Pth value

                               = (15 + 1) * 0.6th value  

                               = 9.6th value

                               =46

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Answer:

He does not have enough money, as 10 < 10.50.

Step-by-step explanation:

The first step to solve this question is finding the cost of 7 packs of gum.

1 pack costs $1.50.

So 7 packs will cost 7*1.50 = $10.50.

Pablo has 10 dollars, which is less than $10.50(10 dollars and 50 cents). So he does not have enough money.

Answer:

1952

Step-by-step explanation:

Just add lol

A line graph is a graph that uses line segments to show how data changes over time.

Answer:

-3 2/3. i took the test