your friend measured the distance between her town and the state capital on the map. Her measurement was 4 1/2 inches. Based on your friend's measurement ,what is the actual distance (in miles) between her town and the state capital ?

The cost function is C(t) = $46.25.

Companies frequently utilize the cost curve to reduce costs and increase production efficiency. A cost function is a function of input prices and output quantity whose value represents the cost of producing that output given those input prices.

The evaluation of marginal costs and sunk costs are only two examples of the many potential uses for this cost curve.

Given that,

Rental fee = $40

Additional fees= $6.25 per hour

So, cost function is $40+$6.25= $46.25

Thus, The cost function is C(t) = $46.25.

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Rhoxy is the chemical symbol for Rhodium (Rh).

Rhodium is a transition metal found in group 9 of the periodic table, and its atomic number is 45. Its atomic mass is 102.90550 g/mol. Its atomic radius is 1.36 angstroms and its oxidation state is +3.

Rhoxy can be calculated by taking the atomic mass of Rhodium and converting it to moles. This is done by dividing the atomic mass of Rhodium by the molar mass constant, which is 1.00794 g/mol. This results in 0.1022 moles of Rhodium. The formula for moles of a substance is n = m/M, where n is the moles, m is the mass of the substance, and M is the molar mass constant.

To calculate the amount of Rhoxy, divide the moles of Rhodium by Avogadro’s number (6.02 x 10^23). This results in 1.68 x 10^-24 moles of Rhoxy. The formula for this calculation is n = n/N, where n is the moles of the substance, and N is Avogadro’s number.

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Complete question :

What is the symbol for Rhodium?

The relationship between x and y is that x is equal to twice the value of y.

The relationship between x and y can be expressed as a logarithmic equation. The first equation states that Log(c) = X/2, where c is a constant. The second equation states that Log(c^2) = Y. We can solve for the relationship using the two equations given. For equation 1, we can isolate X on one side of the equation to get X = 2*Log(c). For equation 2, we can isolate Y on one side of the equation to get Y = Log(c^2). Plugging the expression for X into equation 2, we get Y = Log(c^2) = Log(c)*2 = 2*Log(c) = X. Therefore, the relationship between X and Y is X = Y.To calculate the relationship between x and y, we can use the power law equation, which states that c^(x/2) = c^y. This can be rewritten as x/2 = y, so we can conclude that the relationship between x and y is x = 2y. Therefore, the relationship between x and y is that x is equal to twice the value of y.

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Answer:

Clearly this figure is delusional loser bs

D = 93º

E = 43.5º

F = 43.5º

DF = 40

DE = 40

EF = 58

Step-by-step explanation:

Assuming angles F and E are the same angle, then:

8x - 24 = 40

8x = 40 + 24

8x = 64

x = 8

6x + 10 =

6 * 8 + 10 =

48 + 10 =

58

Cut the triangle in half:

58 / 2 = 29

sin x = 29 / 40 = 0.725 =~ 46.5º

D = 46.5 * 2

D = 93º

180 - 93 = 87º

87 / 2 = 43.5º

A. -10x^2 - 3x +4 , is the expression is equal to f(x) + g(x).

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

f(x)= -3x^2+4x+4

g(x)= x(-7x-7)

now,

f(x) + g(x)

=-3x^2+4x+4 +x(-7x-7)

= -10x^2 - 3x +4

Hence, A. -10x^2 - 3x +4 , is the expression is equal to f(x) + g(x).

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It is a proportionate relationship if the ratio remains not constant constant.

As an illustration of a proportionate relationship in real life, let's look at the following: There is a correlation between the number of gallons of gas we put in our car and the price we will have to pay when we fill up the tank. That is to say, the more gas we use, the more we will have to pay.

When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. The "constant of proportionality" is a term used to describe this constant.

Examining the ratios between the two variables will help you determine whether a relationship is proportional. It is a proportionate relationship if the ratio remains constant.

11     $24  

36    $39

66     $79

85     $98

It is a proportionate relationship if the ratio remains not constant constant.

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Answer:

The answer is $297

Answer: The price of the PC is now $693.

Step-by-step explanation:

1. Find 30% of $990.

30% of $990 = $297

2. subtract.

$990 - $297 = $693

The range is 4.5, and it means that the data varies by a value of 4.5.

A data set is a structured group of data. As we are all aware, data is a grouping of information that has been gathered by observations, measurements, research, or analysis. Facts, figures, names, and even simple descriptions of objects could be included in it.

The range is the difference between the largest and smallest values in a data set.

In this case, the largest value is 8 and the smallest value is 3.5,

so the range is 8 - 3.5 = 4.5.

This means that the ballet shoe sizes in this class vary by 4.5, with the largest size being 8 and the smallest size being 3.5.

Hence, The range is 4.5, and it means that the data varies by a value of 4.5.

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The probability that it rains at least one of the days is 40%.

Given data :

Let D1 = the event that it will rain on today

D2 = the event that it will rain on tomorrow.

P(D1) = 40% = 0.4

P(D2) = 40% = 0.4

The general probability formula can be expressed as: Probability = Number of Favorable Outcomes / Total Number of Outcomes. or. P(A) = f / N.

P(D1) + P(D2) / 2 = 0.4 + 0.4 = 0.8 / 2 = 0.4 = 40%

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.

Answer:

The slope of the function y = -2x - 3 is -2. This is calculated by taking the coefficient of the x-term and making it the numerator of a fraction, and making the constant term the denominator.

Step-by-step explanation:

mark as brainliest

Answer: A) The equation can be written as y = mx + b, where m is the slope and b is the y-intercept. The slope represents the cost per person and the y-intercept represents the fixed cost. Using the two given points, we can find the slope and y-intercept:

(15, 120) and (25, 200)

m = (200 - 120) / (25 - 15) = 80 / 10 = 8

b = 120 - 8 * 15 = 120 - 120 = 0

So the equation is y = 8x.

B) In the equation y = 8x, x represents the number of people attending the party and y represents the cost of having the party catered.

C) To predict the cost of having a party of 40 people catered, we plug in x = 40 into the equation:

y = 8x

y = 8 * 40

y = 320

So it will cost $320 to have a party of 40 people catered.

Step-by-step explanation:

The statement is True. Mean normalization scales data to have a mean of 0, which allows the gradient descent algorithm to more quickly identify the optimum point.

Mean normalization is a feature scaling technique used to speed up the learning process of gradient descent algorithms. It works by mapping the values of a dataset to a range of [-1, 1], or [0, 1], by subtracting the mean from each data point and dividing by the standard deviation. This scaling process helps to reduce the impact of the outliers and normalize the data, allowing the gradient descent algorithm to more quickly converge on the optimal solution. This results in faster and more accurate models.

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The proportion of the class with a midterm grade less than 75 is approximately 0.3085, or 30.85%. This means that 30.85% of the class is expected to have a midterm grade lower than 75.

We can use the cumulative distribution function (CDF) of the normal distribution to find the proportion of the class with a midterm grade less than 75.

The CDF of a normal distribution with mean μ and standard deviation σ evaluated at a point x is given by the formula:

CDF(x) = 0.5 * [1 + erf((x - μ) / (σ * √2))]

where erf is the error function.

For this problem, μ = 78 and σ = 6, and x = 75, so the CDF can be calculated as follows:

CDF(75) = 0.5 * [1 + erf((75 - 78) / (6 * √2))]

= 0.5 * [1 + erf(-0.3536)]

The value of erf(-0.3536) can be looked up in a table or calculated using a software package. The result is approximately -0.383.

CDF(75) = 0.5 * [1 + -0.383] = 0.5 * [0.617] = 0.3085

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Answer:

1.4024390244 I hope that helps

The required quotient of the given expression -2 1/2 / [3/4] is given as -2.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
= -2 1 / 2 [3/4]
= -3/2 × 4 / 3
= -2

Thus, the required quotient of the given expression -2 1/2 / [3/4] is given as -2.

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After simplifing [tex]6\frac{1}{2} \ and \ 2\frac{1}{3}[/tex] after dividing the value is [tex]2\frac{11}{14}[/tex]

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

The numerator of an improper fraction is bigger than the denominator. For instance, 2/3 is a valid fraction since its denominator is bigger than its numerator, but 3/2 is an improper fraction.

The mixed fractions are

[tex]6\frac{1}{2} \ and \ 2\frac{1}{3}[/tex]

The improper fractions are :

13/2 and 7/3

Dividing 13/2 by 7/3 we get the value :

(13/2)/(7/3) = 13/2 * 3/7 = 39/14 = [tex]2\frac{11}{14}[/tex]

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Side-Angle-Side postulate states that if two sides and the angle joining them of a triangle are congruent to the corresponding sides of another triangle, then the triangles are congruent.

therefore triangle ABC congruent triangle EDC

The corresponding sides of both triangles are congruent.

The corresponding angles have the same measure. That is, they are congruent.

First draw two triangle: ABC and CDE that meet the questions criteria.

triangle ABC and CDE

C is the midpoint of BD and AE

By using definition of midpoint AC congruent CE ; BC congruent CD

With the help of definition of vertical angles we can say angle BCA congruent angle DCE

Side-Angle-Side postulate states that if two sides and the angle joining them of a triangle are congruent to the corresponding sides of another triangle, then the triangles are congruent.

therefore triangle ABC congruent triangle EDC

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After 13 hours, there are 17,582 people living there, to the nearest whole number.

Divide the amount by the cost of capital, the length of time, and other factors to arrive at simple interest. Simple gain = initial + return + hours is the marketing formula. This system makes it easiest to calculating interest. The most conventional technique to figure out interest is as a portion of the principal sum. He will indeed pay his share of the 100percent annual interest, for example, if he borrows $100 from a partner and commits to pay it back with 5% concern. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you give it out, you must charge interest. Interest is often determined as an extra component of the loan total. The interest on the loan is this percentage.

given

initially populous,

Increased Rate, r = 2

Time-doubling, d=5 Hours

Population after t hours is P(t).

After 13 hours, we want to know how many bacteria are present.

e.g., at t=13 hours

After 13 hours, there are 17,582 people living there, to the nearest whole number.

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This is simple question , answer is 4 ways

The probability that it takes 10 circuit boards to be inspected before a defective board is found is approximately 0.16777216%.

The probability that it takes 10 circuit boards to be inspected before a defective board is found can be calculated using the cumulative distribution function (CDF) of the geometric distribution. The CDF of the geometric distribution is given by the formula:

[tex]CDF(k) = (1 - p)^{k-1} * p[/tex],

where p is the probability of success (in this case, the probability of finding a defective circuit board) and k is the number of trials (in this case, the number of circuit boards inspected). Since the probability of finding a defective circuit board is 0.02, we can calculate the CDF as follows:

CDF(10) = [tex](1 - 0.02)^{10-1}[/tex] * 0.02 = 0.0016777216 = 0.16777216%.

This means that the probability that it takes 10 circuit boards to be inspected before a defective board is found is approximately 0.16777216%.

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The six functions that are incresing on their domain are : identity, cubing, square root, exponential, natural log and logistic function.

Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

The set of integers x for which a function has a valid definition is known as its domain. A closed interval is referred to as a function's domain if it is specified across the interval a≤ x ≤b.

The logistic function is a function that simulates the exponential expansion of a population while also taking into account variables like the carrying capacity of land and other considerations.

The inverse of an exponential function, the natural log is the logarithm to the base of the integer e. Natural logarithms are unique varieties of logarithms that are employed in the treatment of time and growth-related issues. The basis of logarithms and natural logs are exponential functions and logarithmic functions.

The six functions that are incresing on their domain are :

identity, cubing, square root, exponential, natural log and logistic.

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Answer:

49

Step-by-step explanation:

7x7 = 49

you can just square 7 in your calculator

The region bounded by y=6-x^2 and y=2 is revolved about the x-axis has the volume as 384pi/5.

The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

Various forms have various volumes. We have examined the numerous three-dimensional solids and shapes, such as cubes, cuboids, cylinders, cones, etc., in three-dimensional geometry.

The intersection points of y = 6−x^2 and y = 2 are given by the equation 6 − x^2 = 2, i.e., x^2 = 4, so x = −2 and x = 2.

The integration can be written as:

[tex]\int\limits^2_{-2} {\ \pi (y_t^2 - y_b^2) } \, dx \\\\\int\limits^2_{-2} {\ \pi((6 - x^2)^2 - 4)} \, dx \\\\\int\limits^2_{-2} {\ \pi (x^4 - 12x^2 + 32)^2} \, dx\\ \\= \pi [\frac{x^5}{5} - 4x^3 + 32x ]_{-2}^2\\\\= \frac{384 \pi}{5}[/tex]

Hence, the region bounded by y=6-x^2 and y=2 is revolved about the x-axis has the volume as 384pi/5.

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In exercises 1 and 2:

In exercise 3 and 4, the value of x is 6 and 9

Please refer to the attached picture below as the referrence

The scale factor of the two triangles can be calculated by comparing the smallest side of both triangle. We will use side AB on ABC and side HI on HIJ. The scale factor of the two triangles is:

AB = 36  = 4

HI       27       3

The congruent angles of the two triangles are

A = H

B = I

C = J

The ratio of corresponding side lengths are:

AB = 36  = 4

HI       27       3

BC  =  42   =  4  

IJ       31.5     3

CA  =     59   = 4

JH       44.25     3

The ratio of corresponding side lenghts is 3/4

The scale factor of the two trapesium can be calculated by comparing the smallest side of both triangle. We will use side XY on WXYZ and side TU on STUV. The scale factor of the two triangles is:

XY  = 4  = 2

TU      6     3

The congruent angles of the two triangles are

W = S

X = T

Y = U

Z = V

The ratio of corresponding side lengths are:

WX  =  7     = 2

ST      10.5     3

XY  = 4  = 2

TU      6     3

YZ =   7    =  2  

UV     10.5     3

ZW = 10 =  2

VS     15     3

The ratio of corresponding side lenghts is 2/3

We can find the ratio of corresponding side lengths using the gvien data. We name the small parallelogram as A and the large one as B.

Side A = 2 = 1.5

Side B     8      x

2x = 12

x = 6

We can divide the poligons into 2 proportionally similar triangle. We name the small triangle as triangle C and the large one as triangle D.

Side C = 6 = x

Side D     10    15

6 = x

10     15

3  =  x

5     15

45 = 5x

x = 9

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The volume is 1088.64 cm^2 of a rectangular prism with 7.2cm,8.4cm,18cm.

What is volume?

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

a rectangular prism with 7.2cm,8.4cm,18cm

we know,

the volume is

V= l.b.w

here,

l= 7.2 cm

b= 8.4 cm

w= 18cm

i.e. V= 1088.64 cm^2

Hence, The volume is 1088.64 cm^2 of a rectangular prism with 7.2cm,8.4cm,18cm.

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Answer:

The y-intercept of the line of fit is 60, which means that a student who studies for 0 hours is predicted to earn 60% on the test. This indicates that there is a positive correlation between the amount of time a student spends studying and their grade on the test.

Step-by-step explanation:

Answer:

Give the guy brainliest he deserves it

Step-by-step explanation:

If the quadratic has x-intercepts of -3 and 5 the equation would be:

y=c(x+3)(x-5)

The axis of symmetry is an imaginary straight line that divides a shape into two identical parts, by creating one part as the mirror image of the other part.

First, we have to define the axis of symmetry.

The point right in between the two x-intercepts of a quadratic equation is called axis of symmetry.

We have x-intercepts of -3 and 5

In ordered to find the axis of symmetry we have to find their middle intercept

To find the axis of symmetry:

-3+5/2=2/2=1

So the axis of symmetry is x = 1

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Frequency distributions can show absolute or relative frequencies, such as percentages or proportions.

Organizing and presenting frequency counts in a way that makes them easier to understand is done through frequency distributions, which are visual displays. Absolute or relative frequencies, such as percentages or proportions, can be displayed in frequency distributions.

The number of people in each category on the measuring scale is arranged by tabulation or graphic representation in a frequency distribution. The full data set can be simply viewed by the researcher thanks to this.

An ordered tabulation of how many people fall into each group on a scale of measurement is known as a frequency distribution. Both a table and a graph can be used to arrange a frequency distribution, although both display the same two components: 1.

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