Please help me with this I can't do it (2nd Image for it) It's not as important but please help

To differentiate the function f(x) = qx + r/sx + t, where q, r, s, and t are constants, the derivative is given by f'(x) = q - (r/s) * (1/x^2).

To differentiate the given function, we need to apply the rules of differentiation. Let's break down the steps:

1. Differentiate qx with respect to x: Since q is a constant, the derivative of qx is simply q.

2. Differentiate r/sx with respect to x: We can rewrite r/sx as r * (s * x)^(-1). Applying the power rule of differentiation, the derivative of (s * x)^(-1) is (-1) * (s * x)^(-1 - 1) * s = -s/x^2.

3. Differentiate t with respect to x: Since t is a constant, the derivative of t with respect to x is 0.

4. Combining the derivatives obtained from the previous steps, we have f'(x) = q - (r/s) * (1/x^2).

Therefore, the derivative of the given function f(x) = qx + r/sx + t, where q, r, s, and t are constants, is f'(x) = q - (r/s) * (1/x^2).

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Answer:

9/16

Step-by-step explanation:

For a standard normal distribution, the probability of having a z-score less than -0.58 is approximately 0.2807. This can be found by looking up the area under the standard normal curve to the left of -0.58 using a z-table or a calculator. Rounding this to 4 decimal places gives the answer of 0.2807.

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To find the reference angle for 0=11pi/6, we need to first understand what a reference angle is. A reference angle is an acute angle formed between the terminal side of an angle in standard position and the x-axis.

In this case, the angle 0=11pi/6 is not in the standard position because it does not start from the positive x-axis and rotates counterclockwise. To find an equivalent angle in the standard position, we can subtract 2pi (or 12pi/6) from the original angle until we get an angle between 0 and 2pi.

11pi/6 - 2pi = 5pi/6

Now, we have an equivalent angle in the standard position. To find the reference angle, we subtract this angle from pi/2 (or 90 degrees).

pi/2 - 5pi/6 = pi/6

Therefore, the reference angle for 0=11pi/6 is pi/6 or 30 degrees.

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The first five terms of the sequences are 2, 3, 5, 9, 17. and 1, 4, 7, 10, 13

Using the formula, an = 2an-1 - 1 where a1 = 2, we can find the first few terms of the sequence as follows:

a2 = 2a1 - 1 = 2(2) - 1 = 3

a3 = 2a2 - 1 = 2(3) - 1 = 5

a4 = 2a3 - 1 = 2(5) - 1 = 9

a5 = 2a4 - 1 = 2(9) - 1 = 17

Therefore, the first five terms of the sequence are: 2, 3, 5, 9, 17.

For the second sequence, the first five terms are

1, 4, 7, 10, 13

Because the common difference is 3

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Answer:

B. $34,086

Step-by-step explanation:

did the math

The total amount of annual take-home pay of Cynthia is $34,086.25

Income tax is a tax applied on individuals or entities concerning income or profit earned by them.

Cynthia earns $41,875 annually.

If the Canadian government levies an income tax of 18.6% on Cynthia’s tax bracket.

It can be calculated as

41,875 × 18.6%

41,875 × 18.6/100 = 7,788.75

The annual take-home pay

41,875 - 7,788.75 = $34,086.25

Thus, The total amount of annual take-home pay is $34,086.25.

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When the water is 6 feet deep, then the water level rise at the rate of 0.22 feet per minute

Water runs into a conical tank at the rate of 9 ft^3 per min

The rate of change volume with respect to time dV / dt = 9 ft^3 per min

The height of the tank = 10 feet

The base radius of the tank = 5 feet

The volume of the cone = (1/3)πr^2h

The water is 6 feet deep

r/h = 6/10

r/h = 3/5

r = 3/5h

Substitute the values in the equation

The volume of the cone = (1/3) π(3/5h)^2 ×h

= (3/25)πh^3

Differentiate the equation

dV/ dt = (9/25)πh^2 × dh/dt

9 = (9/25)πh^2 × dh/dt

dh/dt = 9 / ((9/25)π×6^2

= 0.22 feet per min

Therefore, the water level is rising at the rate of 0.22 feet per minute

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Answer:

455.1111 feet²

Step-by-step explanation:

Given that :

Array of mosaic = 8 * 8 color square tiles

Length of each tile = 2 2/3 feets long

The length of mosaic = length per tile * Number of array :

2 2/3 feets * 8 = 21.3333 feets

This corresponds to the side length of the mosaic

The Area of the whole mosaic:

Using the area of square formula = s²

Where, s = side length

s = 21.33333 ft²

s² = 21.33333²

s² = 455.1111²

Answer:

not sure if there are more but a=-5

Step-by-step explanation:

|a+5|=-5-a

|-5+5|=-5 - - 5

|-5+5| = -5 + 5

| 0 | = 0

0=0

Answer:

5-5=0+5=5 so the answer is five

The median number of newspapers sold over seven weeks is 223.

The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.

The formula for the median is as follows:

Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)

We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288

The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.

Median = (215 + 231)/2

= 446/2

= 223

In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.

Hence, the median number of newspapers sold over seven weeks is 223.

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The height of the image can be found by multiplying the magnification by the height of the object.

We have,

To determine the height of the image produced by the concave mirror, we can use the mirror equation and the magnification formula.

The mirror equation is given by:

1/f = 1/do + 1/di,

where:

f is the focal length of the mirror,

do is the object distance (distance of the object from the mirror), and

di is the image distance (distance of the image from the mirror).

We are given:

f = 10.0 cm (focal length of the concave mirror),

do = 40.0 cm (distance of the object from the mirror), and

di = -16.0 cm (distance of the image from the mirror, negative because it's in front of the mirror).

Substituting these values into the mirror equation:

1/10.0 = 1/40.0 + 1/-16.0,

Simplifying the equation:

1/10.0 = (1/40.0) - (1/16.0),

1/10.0 = (16 - 40) / (40 * 16),

1/10.0 = -24 / 640,

1/10.0 = -0.0375.

The magnification formula is given by:

magnification = -di / do.

Substituting the values:

magnification = -(-16.0 cm) / 40.0 cm,

magnification = 0.4.

Thus,

The height of the image can be found by multiplying the magnification by the height of the object.

Since the height of the object is not given, we cannot determine the exact height of the image.

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Answer:

Step-by-step explanation:

Given :

From the diagram,

m∠GEF is 13 less than 5 times m∠DEG and ∠DEF = 149°,.

To Find :

the value of m∠GEF..

Solution :

As per given data,

m∠GEF = 5m∠DEG - 13° ...(i)

∠DEF = 149° ⇒ m∠GEF + m∠DEG = 149° ..(ii)

Substituting value of m∠GEF in (ii),

We get,

(5m∠DEG - 13°) + m∠DEG = 149°

6m∠DEG - 13° = 149°

6m∠DEG = 149° + 13° = 162°

m∠DEG = ° = 27°

Substituting value of m∠DEG in (i),

We get,

m∠GEF = 5(27°) - 13°

m∠GEF = 135° - 13°= 122°

Answer:

The probability  is  \(P( p  >  0.585) =  0.044565  \)

Step-by-step explanation:

From the question we are told that

   The population proportion is p =  0.50

   The sample size is n = 100

Gnerally the mean of the sampling distribution is  

          \(\mu_x =  0.50\)

Generally the standard deviation of the sampling distribution is  

              \(\sigma  =  \sqrt{\frac{p(1- p)}{n} }\)

=>            \(\sigma  =  \sqrt{\frac{0.5 (1- 0.5)}{100} }\)

=>            \(\sigma  =0.05\)

Generally the approximate probability that the cable company will keep the shopping channel

\(P( p  >  0.585) =  P(\frac{p- \mu_{x}}{\sigma }  > \frac{0.585 - 0.50}{0.05} )\)

Generally  \(\frac{p- \mu_{x}}{\sigma } = Z (The  \  standardized \  value  \  of  p )\)

=>  \(P( p  >  0.585) =  P(Z > 1.7 )\)

From the z-table the probability of  (Z > 1.7 ) is  

       \(P(Z > 1.7 ) = 0.044565\)

So \(P( p  >  0.585) =  0.044565  \)

Answer:

Step-by-step explanation:

g(x) =(1/4 x)²

g(x)  = 4x² will be the equation of the parabola.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Given, two parabolas f(x) and g(x),

From the general equation of the parabola,

y = a(x – h)² + k or x = a(y – k)² +h.

Here (h, k) denotes the vertex.

As we can see in our case, the vertex is (0, 0)

Thus, the equation of the parabola will be

y = ax²

Since the given parabola passes through the point (1, 4)

Substitute the values,

4 = a(1)²

a = 4

therefore, the equation of the parabola g(x) will be,

g(x)  = 4x²

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Selecting all students with last names beginning with the letter M would not produce a random sample of a school population of 1000 students. Hence the answer is no.

A random sample is obtained by selecting individuals from a population in a way that ensures every member of the population has an equal chance of being included in the sample.

By choosing only students with last names beginning with the letter M, you are introducing a bias and not providing an equal chance for all students to be selected.

To obtain a random sample of 1000 students from a school population, you would need to use a random selection method that ensures each student has an equal probability of being chosen.

This could be achieved through techniques such as random number generators, random sampling software, or random sampling techniques like stratified or cluster sampling.

Selecting all students with last names beginning with the letter M would not meet the requirements of a random sample, as it would not provide an equal chance for all students in the population to be included.

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Answer:

(-infinity , 6]

Answer:

The Answer is 360

Step-by-step explanation:

cause u got to multiple

Answer:

around 29.7

Step-by-step explanation:

We can make a rectangle two tringles

Using a^2 + b^2 = c^2 we can find the diagonal

40^2 + 9^2 = c^2

800 + 81 = c^2

sqrt 881 is 29.6816442

we can round this to around 29.7

Answer:

12 sides

Step-by-step explanation:

the sum of the exterior angles of a polygon is 360°

since the polygon is regular then the exterior angles are congruent

number of sides = 360° ÷ 30 = 12

Answer:

12.

Step-by-step explanation:

Answer:

Step-by-step explanation:

In a triangle, the angle bisectors divide the opposite sides in a ratio equal to the corresponding angle measures.

Let's call the length of AC as x and the length of AB as y. The angle AKC is equal to half the sum of the angles A and C.

The angle bisector theorem states that:

x/AK = y/KC.

So, x/AK = y/(180 - 56 - AK).

Solving for AK, we get:

AK = (x * (180 - 56)) / (x + y).

Since the angle AKC is equal to half the sum of the angles A and C, we can conclude that:

angle AKC = (angle A + angle C) / 2 = (x/AK + y/(180 - 56 - AK)) / 2.

Without any additional information about the triangle, it's not possible to calculate the exact value of angle AKC.

The correct value to be initially recorded in the books is $3,000.

In compliance with IFRS, when an asset is acquired, it is initially recorded at its cost, which includes all expenditures necessary to bring the asset to its intended use. In this case, the office table was purchased for $3,000 on January 1, 2017. Therefore, the correct value to be initially recorded in the books is $3,000.

When the table was revalued on December 31, the carrying amount is the amount at which the asset is recognized in the financial statements after deducting any accumulated depreciation or impairment losses. In this case, since the table had not been recorded in the books, the carrying amount is zero.

The revaluation to $2,800 against a carrying amount of $2,250 indicates that the table's fair value has decreased. However, it's important to note that the revaluation occurred after the year-end, so it does not impact the initial recording of the asset.

Therefore, the correct value to be initially recorded in the books remains at $3,000, as it reflects the cost incurred to acquire the table. The revaluation will be considered for subsequent accounting periods to reflect the change in fair value, but it does not retroactively affect the initial recording of the asset.

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The seventh term of the sequence is 364.5

From the question, we are to determine the seventh term of the sequence

Using the formula,

\(a_{n} = ar^{n-1}\)

Where \(a_{n}\) is the nth term

a is the first term

and r is the common ratio

From the given information,

a = 1/2

r = 3

Thus,

\(a_{7} = (\frac{1}{2}) 3^{7-1}\)

\(a_{7} = (\frac{1}{2}) 3^{6}\)

\(a_{7} = \frac{1}{2} \times 729\)

\(a_{7} = 364\frac{1}{2} \ OR \ 364.5\)

Hence, the seventh term of the sequence is 364.5

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Answer:

24 , 12x12 = 144. , 144/6 =24

Answer:

Rotated 90° counterclockwise, then reflected across the y-axis

Step-by-step explanation:

The probability that the driver will be seriously injured during the course of the year is 4.734 × 10^(-2).

The probability that the driver will be seriously injured during the course of 15 months is 0.442

The probability that the driver will be injured in the next 100 hours is 0.001 or 0.1%.

Given the probability of being seriously injured in an unspecified location is about .1% per hour, the probability that the driver will be seriously injured during the course of the year is obtained as follows:Probability of being injured in an hour, P(A) = 0.1% = 0.1/100 = 0.001Probability of not being injured in an hour, P(B) = 1 - 0.001 = 0.999Probability of being injured in 1200 hours is:P(A and A and A .... 1200 times) = 0.001 x 0.001 x ... 1200 times= 0.001¹²⁰⁰= 4.734 × 10^(-2)Therefore, the probability that the driver will be seriously injured during the course of the year is 4.734 × 10^(-2).

Probability that the driver will be seriously injured during the course of 15 months is:Probability of being injured in an hour, P(A) = 0.1% = 0.1/100 = 0.001Probability of not being injured in an hour, P(B) = 1 - 0.001 = 0.999Number of hours in 15 months is 15 × 30 × 24 = 10800 hoursProbability of being injured in 10800 hours is:P(A and A and A .... 10800 times) = 0.001 x 0.001 x ... 10800 times= 0.001¹⁰⁸⁰⁰= 0.442Therefore, the probability that the driver will be seriously injured during the course of 15 months is 0.442

.Expected number of hours that a driver will drive before being seriously injured is:Expected number of hours = 1/P(A)= 1/0.001= 1000 hoursGiven that a driver has driven 1200 hours, the probability that he or she will be injured in the next 100 hours is:P(A and B) = P(A) × P(B)= 0.001 × 0.999= 0.000999, approximately 0.001 or 0.1%.Therefore, the probability that the driver will be injured in the next 100 hours is 0.001 or 0.1%.

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Answer:

\(20x - 4 = 0\)

Step-by-step explanation:

\( \frac{y - y1 }{y2 - y1} = \frac{x - x1}{x2 - x1} \\ x1 = - 4 \\ y1 = - 2 \\ x2 = - 4 \\ y2 = - 22\)

\(x2 = - 4 \\ y2 = - 22\)

H represents integer -2 on the number line

Opposite value of -2 is 2

Absolute value of -2 is 2

What is opposite and absolute value of an integer?

Opposite integers: Two numbers that are the same distance from zero but on opposite sides.

Absolute value of integer: The integer’s distance from zero on the number line.

Every integer has an opposite.

The sum of two opposites is always zero.

For example 5 is opposite of -5

According to the given question:

The integer represented by the H lies on the left hand side of zero that is negative side of number line.

H represents -2 on the number line

Opposite value of -2 is 2

Absolute value of -2 is 2

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When \(x = 0\), the triangle with vertices A=(-4, 3, -2), B=(-6, -1, -9), and C=(-9, 7, 0) has a right angle at A.

To find the value of \(x\) such that the triangle with vertices A=(-4, 3, -2), B=(-6, -1, -9), and C=(-9, 7, x) has a right angle at A, we can use the concept of perpendicular slopes.

Let's calculate the slope of the line segment AB and the slope of the line segment AC. The slope of a line passing through two points \((x_1, y_1, z_1)\) and \((x_2, y_2, z_2)\) is given by:

\[m = \frac{{y_2 - y_1}}{{x_2 - x_1}}\]

For line segment AB:

\[m_{AB} = \frac{{(-1) - 3}}{{(-6) - (-4)}} = -2\]

For line segment AC:

\[m_{AC} = \frac{{7 - 3}}{{(-9) - (-4)}} = \frac{1}{5}\]

Since we want a right angle at vertex A, the slopes of AB and AC should be negative reciprocals of each other. In other words, \(m_{AB} \cdot m_{AC} = -1\):

\((-2) \cdot \frac{1}{5} = -\frac{2}{5} = -1\)

Solving for \(x\) in the equation \(-\frac{2}{5} = -1\) gives us \(x = 0\).

Therefore, when \(x = 0\), the triangle with vertices A=(-4, 3, -2), B=(-6, -1, -9), and C=(-9, 7, 0) has a right angle at A.

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The correct answer is incorrect. The 99.8% confidence interval for the population mean is not 54.4.

To construct a confidence interval, we can use the formula:

CI = x ± z * (s / sqrt(n))

Where x is the sample mean, s is the sample standard deviation, n is the sample size, and z is the critical value corresponding to the desired confidence level.

For a 99.8% confidence level, the critical value is z = 2.807. Plugging in the values into the formula, we have:

CI = 58.5 ± 2.807 * (9.5 / sqrt(57))

Calculating the values, we get:

CI = 58.5 ± 2.807 * 1.253

CI = 58.5 ± 3.512

The confidence interval for the population mean L is therefore:

CI = (58.5 - 3.512, 58.5 + 3.512)

CI = (54.988, 62.012)

Rounding to one decimal place, the 99.8% confidence interval for the population mean is (55.0, 62.0).

The given answer of 54.4 is incorrect and does not fall within the calculated confidence interval.

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Answer:

(4b-5)^2

Step-by-step explanation:

I am assuming it's asking this? I'm not too sure.

Answer:

\((4b - 5 {)}^{2} \)

Step-by-step explanation:

1) Rewrite it in the form a² - 2ab + b², where a = 4b and b=5.

\((4b)^{2} - 2(4b)(5) + {5}^{2} \)

2) Use square of Difference: (a - b)² = a² - 2ab + b².

\((4b - 5)^{2} \)

Therefor, the answer is ( 4b - 5)².