Last year, Mitch inherited a first-edition book from his grandfather. When he first received it, he looked online and found that the value of the book was listed at $250. He checked again one year later and saw that the value has increased to $265. The value of the book is expected to continue to increase over the next few years. Write an exponential equation in the form y=a(b)x that can model the value of Mitch's book, y, in x years. Use whole numbers, decimals, or simplified fractions for the values of a and b.

Answer: $59.99 or $60

Step-by-step explanation: Subtract 500 twice and 150 from each answers you get from subtracting 500 from 1359.99

The values where cos(x) is equal to 0 are excluded from the domain of the function y=sec(x)=1cos(x), or the values 2+n for all integers n. The function's range is either y<=1 or y>=1.

Its root is the Latin verb secare, which means "to cut." Any line that intersects a circle twice is referred to as a secant line, and you can conceive of this line as slicing the circle in half. The distance from the origin to the point where the tangent line intersects the x-axis is the secant function.

1/cos(x) = sec(x) Cot (x) = 1/Tan (x)

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Volume of figure A is 1375 cu ft

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.

Given,

Figure A ~ Figure B

In Figure A R = 5.

In Figure B R = 2.

Scale factor between Figure A and Figure B = 5/2

Volume of B = 88 cu ft

πR²h = 88

π2²h = 88

h = 88/4π

h = 22/π

Height of figure A = 5/2×height of figure B

Volume of figure A

= πR²h

= π5²×5/2×22/π

= 125 × 11

= 1375 cu ft

Hence, 1375 cu ft is volume of figure A.

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Based on the line segments, the vertical angles include the following: A. ZAFE and ZBFD.

In Geometry, the vertical angles theorem is also referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.

Since both line segment AB and line segment BE are interesting lines, we can reasonably infer and logically deduce that they are congruent and as such the magnitude of angle ZAFE is equal to angle ZBFD in accordance with the vertical angles theorem.

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If 60% of household use internet service and 80% use television service , then the probability that at least one of these two services from the company is 90%  .

the percent of house hold that use internet service from company is = P(I) = 60% ;

the percent of house hold that use television service from the company is = P(T) = 80% ;

the percent of house hold that use both the services= P(I & T) = 50%  ;

So , the probability that at least one of these two services from the company is calculated as :  P(I or T) = P(I) + P(T) - P(I&T)

⇒ P(I or T)= 60 + 80 - 50 ;

⇒ P(I or T)= 90%  .

Therefore , the required probability is 90% .

The given question is incomplete , the complete question is

In a certain residential suburb, 60% of all households get internet service from the local cable company, 80% get television service from that company, and 50% get both services from that company.

What is the probability that it gets at least one of these two services from the company ?

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The required standard deviation of the new data set is 9.

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

When 16 is added to each number in the data set, the variance of the new data set is not affected. The variance of a data set is the average of the squared deviations of the data values from the mean, and adding a constant to each data value shifts the mean but does not affect the deviations or their squares.

However, the standard deviation, which is the square root of the variance, will change because the standard deviation is expressed in the same units as the original data, while the variance is expressed in squared units. To find the standard deviation of the new data set, we need to take the square root of the variance, which is 81, and add 16 to each data value. The standard deviation of the new data set is equal to the square root of 81 + 16 = 9.

So, the standard deviation of the new data set is 9.

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The line created is a good representation of a line of best fit

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we can see that the line divides the points on the line evenly

A good line of best fit would have approximately equal number of points on either sides

Hence, the line is a good representation

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Answer:

2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

y=mx+b

M=slope B=Y-intercept

The surface area of the cylindrical gift box is 24πx² + 72xπ + 54π.

The radius of a cylindrical gift box is (2x + 3) inches. The height of the gift box is twice the radius.

Therefore, the surface area of the cylinder can be found as follows:

Hence,

surface area of the cylindrical gift box = 2πr(r + h)

where

Therefore,

r = 2x + 3

h = 2(2x + 3) = 4x + 6

Hence,

surface area of the cylindrical gift box = 2 × π × 2x + 3((2x + 3) + 4x + 6)

surface area of the cylindrical gift box = 2π(2x + 3)(6x + 9)

surface area of the cylindrical gift box = 2π(12x² + 18x + 18x + 27)

surface area of the cylindrical gift box = 2π(12x² + 36x + 27)

surface area of the cylindrical gift box = 24πx² + 72xπ + 54π

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The Data Analytics is defined below and the the techniques that university can use to recruit are Identify and target potential students , Evaluate the effectiveness of recruitment strategies .

The Data analytics is defined as the process of examining, cleaning, transforming, and modeling data to discover useful information, gain insights, and support decision-making.

A University might use data analytics techniques to recruit and attract potential students in several ways which are :

(i) Identify and target potential students :

By analyzing data from various sources, such as high school records, standardized test scores, and student behavior patterns, the university can identify students who are most likely to be interested in attending.

(ii) Evaluate the effectiveness of recruitment strategies :

By analyzing data on the response rates, conversion rates, and enrollment rates of students, the university can evaluate the effectiveness of its recruitment strategies and make decisions to improve future recruitment efforts.

(iii) Monitor student engagement:

By tracking and analyzing the student engagement data,  the university can identify which students are most likely to enroll and stay enrolled.

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Answer: subtract , largest

Step-by-step explanation:

you keep the largest number, because it is the largest number there

The standard form of the monomial 2 · (1 / 3) · a² · x · (- 3 / 7) · a³ · x² is the monomial - (2 / 7) · a⁵ · x³. The coefficient es - 2 / 7.

In this problem we find the case of a monomial that must be simplified into standard form, which can be rewritten in standard form by algebra properties. First, write the complete monomial:

2 · (1 / 3) · a² · x · (- 3 / 7) · a³ · x²

Second, use commutative and associative properties between similar expressions:

[2 · (1 / 3) · (- 3 / 7)] · (a² · a³) · (x · x²)

Third, use the definition of multiplication and power properties:

- (2 / 7) · a⁵ · x³

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Answer:

I don't understand ur question.

Step-by-step explanation:

Please there is no picture or complete

The altimeter will indicate a reading of 22,697 feet.

Standard deviation is a measure of variability in a dataset. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean. This measure indicates how much variation exists in a dataset.

If you are at an altitude of Flight Level 230 (23,000 feet) and forget to set your altimeter to the local altimeter setting during descent, your altimeter will indicate different readings depending on the field elevation and the local altimeter setting.

To calculate the difference between the two, we use the standard deviation formula. Specifically, we calculate the difference between the local altimeter setting and the field elevation, and subtract that difference from the Flight Level. The standard deviation formula then looks like this:

Flight Level - (Local Altimeter Setting - Field Elevation)

In our example, the equation would look like this:

23,000 - (30.02 - 303) = 22,697

It is important to note that when making such calculations, the Flight Level should always be expressed in feet, rather than in thousands of feet.

By using the standard deviation formula and keeping track of settings like local altimeter setting and field elevation, pilots can ensure that their altimeter readings are accurate and that their aircraft will land safely

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Answer:

Below

Step-by-step explanation:

to DIVIDE by a fraction, flip the fraction and MULTIPLY

6 ÷  8/9   =   6 x 9/8  = (6x9) / 8 = 54 / 8  = 6 3/4   or    6.75

In order to cross the bridge, the seven cars can form groups of four to cross the bridge in 35 combinations.

The process of combination is used to calculate in how many ways seven cars can form groups of four in order to cross the bridge.

Combination formula is given by:

[tex]nCr = n!/ (n! * (n-r)!)[/tex]

The number of combinations of seven cars taken four at a time can be given by the equation:

C(7,4) = 7!/(4! * (7-4)!)

C(7.4) = 5040/(24*6) = 5040/144 = 35.

Therefore, the seven cars can cross the bridge in groups of four in 35 different combinations.

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There are 8 cans will be needed to cover 208 m² of wall space.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

Five cans of paint will cover 130 m² of wall space.

Now, Number of cans to cover 208 m² of wall space is,

⇒ 5 × 208 / 130

⇒ 8

Thus, There are 8 cans will be needed to cover 208 m² of wall space.

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An equation describing how x and y are related should be completed as y = [1/2]x + [-5].

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

At data point (0, -5), a linear equation in slope-intercept form for this line can be calculated by using point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - (-4) = (-5 - (-4))/(0 - (-2))(x - (-2))

y + 4 = -1/2(x + 2)

y = -x/2 - 1 - 5

y = -x/2 - 5

y = [1/2]x + [-5].

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The percent of sales happened on  Friday and  Saturday are respectively, 26.3% &  31.6%

The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.

Formula for percentage;

Percentage = (present quantity/whole quantity)×100

Given that,

The bar graph,

In which, Horizontal digits are representing number of shirts,

And vertical component is representing week days

The number of shirts sold  on Friday = 50

The number of shirts sold  on Saturday = 60

Percentage of sales on Friday = ?

Percentage of sales on Saturday = ?

Total sales = Monday + Tuesday + Wednesday + Thursday + Friday +            Saturday

                  = 15+ 10 + 20 + 35 + 50 + 60

                  = 190

Percentage of sales on Friday =   (50/190)x100

                                                   =   26.300 %

Percentage of sales on Saturday =   (60/190)x100

                                                       =   31.600 %

Therefore, the percentage on Friday and Saturday are respectively, 26.3% &  31.6%

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The probability that a randomly selected tire will have a life of at least 47,500 miles is 6.68%, which corresponds to answer choice c: .0668.

Probability is a mathematical concept that measures the likelihood or chance of an event occurring.It is a number between 0 and 1, with 0 designating an impossibility and 1 indicating a certainty. The probability of an event is calculated as the number of favorable outcomes divided by the number of possible outcomes.

The probability that a randomly selected tire will have a life of at least 47,500 miles can be found using a normal distribution and the z-score formula.

The z-score is calculated as follows:

z = (47,500 - 40,000) / 5,000 = 3.5

Using a standard normal table or calculator, we can find the cumulative probability associated with a z-score of 3.5. The probability that a randomly selected tire will have a life of at least 47,500 miles is:

P(X >= 47,500) = 1 - P(X < 47,500) = 1 - .9993 = .0007

Therefore, the answer is: c. .0668

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The true statement about the likelihood of occurrence based on probabilities is; D: Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2)

The probabilities of Players 1, 2 and 3 are;

P(player 1) = 7/11 = 0.636

P(player 2) = 6/9 = 0.667

P(player 3) = 5/7 = 0.714

The most likely batting average will be the player with the highest probability. the player with the highest probability from the above is player 3 with a probability of 0.714.

The true statement about the probability when the softball players discussed their batting averages after a game is Player 3 is more likely to hit the ball than Player 2 because P (Player 3) > P (Player 2).

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Frequency distribution  is a way to organize qualitative data into categories and record the number of observations in each category.

Differentiate between frequency distribution and relative frequency ?

A frequency distribution lists how frequently each category of data occurs, but a relative frequency analysis lists how frequently each types of information occurs.

One approach to organise data is to use a "frequency distribution," which can be done by listing the data, placing it in a table, or displaying it in a graph. Then, the list's entries (distinct values) are counted in terms of how frequently they have occurred.

Define relative frequency distribution

A "relative frequency distribution," on the other hand, refers to the percentage of the total number of observations that fall into a certain group. Divide each frequency by the total amount of data in the sample to obtain this.

what is qualitative data ?

Quantitative data are counts or measures, whereas qualitative data describe categories. Examples of qualitative data include eye colours and shoe brand names in a consumer survey. Examples of quantitative data are student heights and test results.

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The population of bacteria in the culture after 7 hours is 4,18,607 bacteria.

Calculating the exponential growth or decay of a given collection of data is done using an exponential function, which is a mathematical function. Exponential functions, for instance, can be used to estimate population changes, loan interest rates, bacterial growth, radioactive decay, and disease spread.

Given:

We have the function

[tex]P_t[/tex] = [tex]P_0[/tex][tex]2^{t/d[/tex]

We have  [tex]P_0[/tex]= 37000

t= 7 hours

d= 2 hours

So, [tex]P_t[/tex] = 37000 x [tex]2^{7/2[/tex]

= 37000 x 11.313708499

= 4,18,607.21 bacteria.

Hence, the population is 4,18,607.21.

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multiply the numbers

The area of a triangle with the given base and height is 9.5625 square inches.

The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.

From the given triangle, height is 2.5 inches.

By using Pythagoras theorem,

3²=x²+2.5²

9=x²+6.25

x²=9-6.25

x²=2.75

x=1.65 inches

So, the base = 6+1.65=7.65 inches

Area of a triangle = 1/2 ×7.65×2.5

= 0.5×7.65×2.5

= 9.5625 square inches.

Therefore, the area is 9.5625 square inches.

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The LCM of the polynomials is x(x + 3)(x^2 - 3x + 9).

From the question, we have the following parameters that can be used in our computation:

x^3+27 and x^3-3x^2+9x​

Let's factor the first polynomial, x^3 + 27:

x^3 + 27 = (x + 3)(x^2 - 3x + 9).

Let's factor the second polynomial, x^3 - 3x^2 + 9x:

x^3 - 3x^2 + 9x = x(x^2 - 3x + 9)

Using the above as a guide, we have the following:

The LCM of these two polynomials is

LCM = x(x + 3)(x^2 - 3x + 9).

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Answer:

angle 4 is 44°

Step-by-step explanation:

180-93=87 (straight line)

180-49-84=44 (triangle)

Theprobability of discovering one or fewer surface flaws in a randomly chosen unit is 0.35.

Let X shows the number of surface defects at a randomly selected unit. Here X has Poisson distribution with parameters [tex]\lambda[/tex] =3. So the probablity of finding one or less surface defects at a randomly selected unit is

[tex]P(X\leq 1)=\frac{e^{-3}(3)^{0}}{0!}+\frac{e^{-3}(3)^{1}}{1!}=0.199[/tex]

Hence, the required probability is 0.199.

The probability of finding more than 3 defects at a randomly selected unit is

[tex]P(X > 3)=1-P(X\leq 3)=0.35[/tex]

Therefore, the probability of discovering one or fewer surface flaws at a randomly chosen unit is 0.35.

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Answer:

[6x^2 + 7x - 20]

Step-by-step explanation:

(2x + 5)(3x - 4)

Utilize FOIL,

First

Outer

Inner

Last

2x * 3x = 6x^2

2x * -4 = -8x

5 * 3x = 15x

5 * -4 = -20

6x^2 - 8x + 15x - 20

Combine like terms:

[6x^2 + 7x - 20]