For the function f(x) = 5(x - 5)7, find f-¹(x).

It takes time of near about 35 year.

Given that,

Storage capability of computers has been doubling every 5 years

The date of 1st computer made = 1980

computer could store 5 megabytes,

Now,

We can use the following calculation to determine how long it took computers to store 100 megabytes:

Therefore,

Log₂ (final amount / beginning amount)

=  Log₂ (100 / 0.5)

= log₂ (200)

= 7.64 is the number of doublings.

If each doubling takes five years, then it would take computers just over seven doublings or almost 35 years to store 100 megabytes.

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The equation X^2/2 - 8 = 2X - 2 has two solutions, X = 6 and X = -2. These are the values of X that satisfy the equation and make both equations Y = X^2/2 - 8 and Y = 2X - 2 intersect on the graph.

To find the solutions to the equation X^2/2 - 8 = 2X - 2, we need to set the two equations equal to each other and solve for X.

The equation is:

X^2/2 - 8 = 2X - 2

To simplify the equation, let's multiply both sides by 2 to eliminate the fraction:

X^2 - 16 = 4X - 4

Next, we rearrange the equation to have all terms on one side:

X^2 - 4X - 12 = 0

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use factoring in this case:

(X - 6)(X + 2) = 0

Setting each factor equal to zero gives us two possible solutions:

X - 6 = 0 --> X = 6

X + 2 = 0 --> X = -2

So the solutions to the equation X^2/2 - 8 = 2X - 2 are X = 6 and X = -2.

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Without additional information about the model house, it is impossible to accurately describe the surface that Molly does not need to paint. It could be any surface that will not be visible when the model house is displayed, such as the underside of a roof, the back of a wall, or the bottom of a floor.

The green line is located is \(\frac{1}{2}\)

Fraction - A fraction is numerical value which is a part of a whole number. It is created by dividing a whole into number of parts. There are three major types of fractions. They are proper fractions, improper fractions and mixed fractions.

Ken takes 5 steps to get to the spot where the green line falls, and the line falls exactly between the 3rd and 4th steps. Therefore, the green line is \(\frac{1}{2}\) of the way between the 3rd and 4th steps. So, the fraction that represents where the green line is located is \(\frac{1}{2}\)

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The fraction that represents where the green line is located is 7/12.

A division is an approach to communicating a piece of an entire or a proportion between two amounts.

It is addressed by two numbers isolated by a level line, where the number over the line is known as the numerator and the number beneath the line is known as the denominator.

The numerator addresses the piece of the entire or the amount being thought of, while the denominator addresses the absolute number of a balance of in the entire or the reference amount.

If the rug is exactly six steps wide, and Ken takes six steps to measure it, then each step represents 1/6th of the rug's width.

Since the green line falls right where the third and fourth steps meet, it is located between the 3rd and 4th step, which means it is on the 3.5th step.

Therefore, the fraction that represents where the green line is located is:

3.5 / 6

For simplifying this fraction, we can divide both the numerator and denominator by 0.5, which gives:

7/12

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The correct estimate is 2000. Thus, Lenore’s estimate is not reasonable

Estimation is a method used for calculating the approximate value of a quantity (just to get a 'rough answer')

In estimation 1, 2,3, and 4 are rounded down while 5, 6, 7, 8 and 9 are rounded up.

Given:  51 x 37

In order round each factor to the nearest ten to estimate the reduction

51 will be rounded down to 50 (because of the 1 after the 5 in 51)

37 will be rounded up to 40 (because of the 7 after the 3 in 37)

Thus, the estimate will be:

50 x 40 = 2000

Therefore, Lenore’s estimate is not reasonable because she rounded down 37 to 30

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The Average rate change in [-1,1] is 1

The average rate of change in the interval [a,b] is defined by:

We know by the graph that [a,b]=[-1,1] and f(-1)=-3 , f(1)=-1

Using the definition above:

Answer:

The answer is 49

Step-by-step explanation:

We can use proportions to estimate the number of dogs in the entire population that have the disease, based on the sample of dogs with the disease.

We know that 42 dogs were selected for the study, and 14 of them had the disease. This means that the proportion of dogs in the sample with the disease is:

14/42 = 0.3333

We can use this proportion to estimate the number of dogs in the entire population that have the disease, by multiplying it by the total number of dogs:

0.3333 * 147 = 49

Therefore, the best estimate for the number of dogs that suffer from the disease is 49.

By considering these rules and properties of integers, the correct result of 6 was obtained.

When writing the response, I considered the following information:

The product or quotient of two integers with different signs is negative. This rule was used to determine that 2(-12) equals -24, not 24.

To subtract an integer, add its opposite. This rule was applied when subtracting -30 from -24, resulting in -24 - (-30) = -24 + 30.

To add integers with opposite signs, subtract the absolute values. The sum has the same sign as the integer with the greater absolute value.

This rule was used to calculate -24 + 30 = 6, where the absolute value of 30 is greater than the absolute value of -24.

By considering these rules and properties of integers, the correct result of 6 was obtained.

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Answer:

0.9703 = 97.03% probability that 15 or more of them would agree with the claim.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they agree with the claim, or they do not. The probability of an adult agreeing with the claim is independent of any other adult, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

75% of adults believe that an unattractive smile hurts career success.

This means that \(p = 0.75\)

Suppose that 25 adults are randomly selected.

This means that \(n = 25\)

What is the probability that 15 or more of them would agree with the claim?

This is:

\(P(X \geq 15) = 1 - P(X < 15)\)

In which:

\(P(X < 15) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 13) + P(X = 14)\)

14 is below the mean, so we start below and go until the probability is 0. Then

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 14) = C_{25,14}.(0.75)^{14}.(0.25)^{11} = 0.0189\)

\(P(X = 13) = C_{25,13}.(0.75)^{13}.(0.25)^{12} = 0.0074\)

\(P(X = 12) = C_{25,12}.(0.75)^{12}.(0.25)^{13} = 0.0025\)

\(P(X = 11) = C_{25,11}.(0.75)^{11}.(0.25)^{14} = 0.0007\)

\(P(X = 10) = C_{25,10}.(0.75)^{10}.(0.25)^{15} = 0.0002\)

\(P(X = 9) = C_{25,9}.(0.75)^{9}.(0.25)^{16} \approx 0\)

Then

\(P(X < 15) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.0002 + 0.0007 + 0.0025 + 0.0074 + 0.0189 = 0.0297\)

And

\(P(X \geq 15) = 1 - P(X < 15) = 1 - 0.0297 = 0.9703\)

0.9703 = 97.03% probability that 15 or more of them would agree with the claim.

The largest possible total area of the three pens is 15312.5sq.units.

What is a rectangular area?

The quantity of space occupied by a flat surface with a specific shape is referred to as the area.

Area of a Rectangle = (Length × Breadth) square units.

Here,

We let x be the length and y be the breadth of a rectangle area.

Given equation : 2y + 4x = 700

y + 2x  = 350

y = 350 - 2x .......(1)

Area of rectangular field (A)= xy

A = x(350 - 2x)

A = 350x - 2x²

Differentiating w.r.t x we get,

A' = 350 - 4x

Again, differentiating w.r.t x we get,

A" = -4

Let A' = 0

350 - 4x = 0

4x = 350

x = 87.5

A is maximum at 87.5feets.

Hence, the largest possible total area of the three pens = XY = 87.5×175 = 15312.5 sq. units.

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The number 2755 flights were scheduled.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Recently many airlines have had to cancel flights in a single day.

Republic airlines had to cancel 416 flights representing 15.1% of the airlines' scheduled flights.

The number of flights scheduled,

= 416 x 100/ 15.1

= 41600/15.1

= 2754.96

≈ 2755

Therefore, 2755 flights were scheduled.

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Answer:

8/12 and 9/12

Step-by-step explanation:

hope this helps loves x

Answer:

67%

hope this helped :)

The measure of the angle x is 30 degree if the triangle is an equilateral triangle.

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have a circle in which a triangle is formed.

Here is the length of the triangle is same, means it is an equilateral triangle.

Each angle in equilateral triangle = 60 degree

The radius and the one tangent, making an angle of 90 degree

Taking bigger triangle:

Total sum of angles in triangle = 180 degree

x = 180 – 90 -60

x = 30 degree

Thus, the measure of the angle x is 30 degree if the triangle is an equilateral triangle.

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The width of the bedroom is 17 feet. The length of the bedroom is 17 + 8 = 25 feet.

What is the area of the rectangle?

The area of the rectangle is length x breadth. The diagonals of the rectangle divide it into two equivalent right-angled triangles. Therefore, the area of the rectangle will be equal to the sum of the area of these two triangles.

Let w be the width of the bedroom and l be the length of the bedroom.

The width of the bedroom is 8 feet shorter than the length, so the length is w + 8.

The area of the bedroom is the product of its width and length, or w * (w + 8).

We can set up the equation 425 = w * (w + 8) and solve for w.

First, we can rewrite the equation as 425 = w^2 + 8w.

Then, we can complete the square by adding (8/2)^2 = 16 to both sides:

425 + 16 = w^2 + 8w + 16

441 = w^2 + 8w + 16

We can rewrite the left side of the equation as (w + 4)^2, which gives us:

(w + 4)^2 = 441

Taking the square root of both sides gives us:

w + 4 = 21

Subtracting 4 from both sides gives us:

w = 17

Therefore, the width of the bedroom is 17 feet. The length of the bedroom is 17 + 8 = 25 feet.

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Answer:

 I plugged the equation into Desmos and the graphs are below.

Step-by-step explanation:

If the graph is supposed to be a line instead of points, then the graph should look like the first picture.

If the graph is supposed to show just the points instead of a line, then the graph should look like the second picture.

If none of your choices look similar to those look for an image that has these points.

Interest   |   years

   88       |      1      

   176      |      2    

   264     |      3    

   352     |      4    

If you need more points, all you have to do is multiply 88 by however many years. For example if it's been 16 years and you need to know how much interest he's collected in that time you do 88 x 16 to find your answer.

The individual that will be paying the most for their purchase is: B.edgar paid with a credit card and paid the minimum payment each month

The individual that will pay the most according to the data provided is Edgar. Edgar's payment is spread out to the longest length of time. So, he will have to pay the added dues for extending his payment.

Usually, the person who pays cash pays the least amount while the person who pays in installments is charged for additional time spent in making the payment.

Complete Question:

Each of the following people bought a watch that costs $300. Which of the following people will pay the most for their purchase A.Sarah paid cash B.edgar paid with a credit card and paid the minimum payment each month C.susan paid with a credit card and paid the minimum payment plus 30 each month D. Sean paid with a credit card and paid the full balance the first of the month

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Answer:

I do not have access to Annexure A and Annexure B, so I cannot collect the data, draw the frequency table or pie chart, or answer the last question. However, I can provide a general explanation of how to calculate the mean, mode, median, and range from a set of data.

To find the mean (average) of a set of data, add up all the values in the set and divide by the number of values. For example, if the maximum temperatures of the 30 days are:

25, 28, 29, 27, 26, 30, 31, 32, 29, 27, 26, 24, 23, 25, 28, 30, 32, 33, 34, 31, 29, 28, 27, 26, 25, 24, 23, 21, 20, 22

The sum of the values is:

25 + 28 + 29 + 27 + 26 + 30 + 31 + 32 + 29 + 27 + 26 + 24 + 23 + 25 + 28 + 30 + 32 + 33 + 34 + 31 + 29 + 28 + 27 + 26 + 25 + 24 + 23 + 21 + 20 + 22 = 813

Dividing by the number of values (30), we get:

Mean = 813/30 = 27.1

To find the mode of a set of data, identify the value that occurs most frequently. In this example, there are two values that occur most frequently, 27 and 29, so the data has two modes.

To find the median of a set of data, arrange the values in order from smallest to largest and find the middle value. If there are an even number of values, take the mean of the two middle values. In this example, the values in ascending order are:

20, 21, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 27, 28, 28, 29, 29, 29, 30, 30, 31, 31, 32, 32, 33, 34

There are 30 values, so the median is the 15th value, which is 28.

To find the range of a set of data, subtract the smallest value from the largest value. In this example, the smallest value is 20 and the largest value is 34, so the range is:

Range = 34 - 20 = 14

To create a frequency table for the maximum temperature data, we need to group the data into intervals and count the number of values that fall into each interval. For example, we could use the following intervals:

20-24, 25-29, 30-34

The frequency table would look like this:

Interval | Frequency

20-24 | 4

25-29 | 18

30-34 | 8

To calculate the size of the angles for the pie chart, we need to find the total frequency (30) and divide 360° by the total frequency to get the proportion of each interval in degrees. For example, for the interval 25-29:

Proportion = Frequency/Total frequency = 18/30 = 0.6

Angle = Proportion * 360° = 0.6 * 360° = 216°

We can repeat this calculation for each interval to obtain the angles for the pie chart.

In terms of the last question, it is not clear what is meant by "which data collection best describe the maximum and why?". If you could provide more context or clarification, I would be happy to try to help.

Answer: 4



Step-by-step explanation:

Answer:

at least two events

Step-by-step explanation:

compound means various.

sooooooooo it would be various!

Answer:

30 feet in 10 seconds

Step-by-step explanation:

The tree grew about 3.83 inches between the first and third week.

An equation is an expression that shows the relationship between two or more numbers and variables.

On the first week, the tree was 27 1/2 inches (27.5) tall. On the second week, it was 29 1/4 inches (29.25) tall. On the third week, it was 31 1/3 inches (31.33) tall.

The length grown = 31.33 - 17.5 = 3.83 inches

The tree grew about 3.83 inches between the first and third week.

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\(\implies {\blue {\boxed {\boxed {\purple {\sf { \: 28 {x}^{3} + 48 {x}^{2} + 62x + 30}}}}}}\)

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

\((4 {x}^{2} + 4x + 6)(7x + 5)\)

\( = \: 7x(4 {x}^{2} + 4x + 6) + 5(4 {x}^{2} + 4x + 6)\)

\( = \: 28 {x}^{3} + 28 {x}^{2} + 42x + 20 {x}^{2} + 20x + 30\)

Combining like terms, we have

\( = \: 28 {x}^{3} + (28 {x}^{2} + 20 {x}^{2} ) + (42x + 20x) + 30\)

\( = \: 28 {x}^{3} + 48 {x}^{2} + 62x + 30\)

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}\)

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

30ab-10cg=20ac

Answer:

In expanded form, the number 1600 can be shown as

1000

+ 600

+ 00

+ 0

The polynomial is a quadratic function, and the completely factored expression of 2x^2 - 9x + 7 is (2x -7)(x - 1)

The polynomial expression is given as:

2x^2 - 9x + 7

Expand

2x^2 - 9x + 7 = 2x^2- 2x - 7x + 7

Factorize the above expansion

2x^2 - 9x + 7 = 2x(x - 1) - 7(x - 1)

Factor out x - 1

2x^2 - 9x + 7 = (2x -7)(x - 1)

Hence, the completely factored expression of 2x^2 - 9x + 7 is (2x -7)(x - 1)

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Given:

Base of triangle = b

Height of triangle, h, is 3 feet less than twice its base. This is expressed as:

h = 2b - 3

Area of triangle = 52 ft²

To find the height of the triangle, use the Area of a triangle formula below:

Thus, we have:

Let's solve for the base, b:

Subtract 104 from both sides to equate to zero:

Factor the quadratic equation:

Thus, we have:

We have the possible values for b as:

b = - 13/2 and 8

Since the base can't be a negative value, let's take the positive value.

Therefore, the base of the triangle, b = 8 feet

To find the height, substitute b for 8 from the height equation, h=2b-3

Thus,

h = 2b - 3

h = 2(8) - 3

h = 16 - 3

h = 13 feet.

Therefore, the height of the triangle, h = 13 feet

ANSWER:

13 feet