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The answer to the query is that $14.28 is left on your credit throughout 44 minutes of calls.

When any term's greatest degree is two or higher, an equation is said to be nonlinear. This is a sample of a numerical solution since formula has the highest degree of 2, whereas equation 2 includes the variables x and y. 3x + 4y = 5, etc., where + 2x + 1 = 0.

Let y be the remaining credit (in dollars) and x be the calling time (in minutes). Based on the information given, we have two points on the line: (24, 16.88) and (38, 15.06).

Using these two points, we can find the equation of the line using the point-slope form:

y - 16.88 = m(x - 24)

where m is the slope of the line. Substitute one of the points to find m:

15.06 - 16.88 = m(38 - 24)

-1.82 = m(14)

m = -1.82/14 = -0.13

Now we have the slope of the line, we can write the equation of the line using the point-slope form:

y - 16.88 = -0.13(x - 24)

To find the remaining credit after 44 minutes, substitute x = 44 into the equation:

y = -0.13(44 - 24) + 16.88

y = -0.13(20) + 16.88

y = 16.88 - 2.6

y = 14.28

So the remaining credit after 44 minutes of calls is $14.28.

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Answer: The area of the rectangular region is 27 m².

Step by step explanation:

Data :

We calculate the area taking into account the formula that I will give you:

[tex] \bold{A = b * h }[/tex]

We simplify according to the given formula:

[tex]\bf A = 9(3)[/tex]

[tex]\boxed{ \bf A = 27 \: {m}^{2} }[/tex]

Rpt: The area of the rectangular region is 27 m².

Answer:

Step-by-step explanation:

Labor rate: $60/hr

Labor time: 0.3hr

Labor cost= 60*0.3=$18

Battery cost= $69.95

Tax=5%

Total battery cost is 69.95*1.05= 73.4475≈$73.45

Total cost= $73.45+$18= $91.45

The required cost of the computer after 3 years is given as $548.43.

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,
A laptop computers purchase for $1300 after each year the resale value decreases by 25%.
Price of the laptop after x years,

y = 1300[1 - 0.25]ˣ

Put x = 3
y = 1300[0.75]³

y =  $548.43

Thus, the required cost of the computer after 3 years is given as $548.43.

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$2360 was invested at 7% and $1910 was invested at 8% to get a total interest of $318

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

Let x represent the amount of money invested at 7% and y represent the amount of money invested at 8%.

The total interest is $318, hence:

0.07x + 0.08y = 318   (1)

she has $450 more in the 8% account, hence:

y = x + 450    (2)

Solving both equations simultaneously:

x = 2360, y = 1910

$2360 was invested at 7% and $1910 was invested at 8%.

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The measure of angle AOB is 180°.

Since COE and BOD are right angles, the measure of both angles is 90°.

The measure of COD is 1/4th of the measure of BOC, which is 90°. Therefore, the measure of COD is 90/4 = 22.5°.

Adding the measures of all three angles gives us 180°.

Therefore, the measure of AOB = 180 - (90 + 22.5) = 67.5°

During Week 0, the number of specialty items that were produced at the old factory than at the new factory is 46 specialty items.

The growth rate for the old factory is 0.08 or 8%.

The weekly number of specialty items produced at the new factory would exceed the weekly number of specialty items produced at the old factory from the 5th week.

Mathematically, an equation which can be used to model an exponential growth rate is given by this mathematical expression:

A(t) = P(1 + r)^{t}    ......equation 1.

Where:

Based on the information provided, an exponential function that represents the number of specialty items that are produced at the old factory is given by:

P(w) = 236(1.08)^w     .......equation 2.

When week, w = 0, the number of specialty items that were produced at the old factory is:

P(0) = 236(1.08)^0

P(0) = 236 specialty items.

For the new factory, the number of specialty items is equal to the y-intercept of the given graph, which is equal to 190 specialty items.

Therefore, the difference = 236 - 190 = 46 specialty items.

For the growth rate for the old factory, we would compare equation 1 and equation 2 as follows:

1 + r = 1.08

Growth rate, r = 1.08 - 1

Growth rate, r = 0.08 or 8%.

Next, we would determine the exponential function that represents the new factory:

505 = 190(1 + r)^7

505/190 = (1 + r)^7

Growth rate, r = (505/190)^{1/7} - 1

Growth rate, r = 1.1499 - 1,

Growth rate, r = 0.1499 ≈ 0.15 or 15%.

Therefore, the function is given by q(w) = 190(1.15)^w.

When the weekly number of specialty items produced at the new factory exceed the weekly number of specialty items produced at the old factory, we have:

190(1.15)^w > 236(1.08)^w

(1.15)^w/(1.08)^w > 236/190

1.0648^w > 1.2421

Taking the ln of both sides, we have:

w > ln(1.2421)/ln(1.0648)

w > 4.3

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Answer:

To solve for x, you can use the equation 6x = 5. This gives x = 5/6.

Answer:

(1,-9) or d(0,9) ahahahshaiaiahsiaoajaj

Answer:

(1,-9), (-1,-9)

Step-by-step explanation:

Given:  y+9=0

Therefore: y=-9

Answer:

Below

Step-by-step explanation:

A.) Finding velocity from position requires deriving it

s' = v(t) = 21t^2 + 5

B.) Now it's plug and play

v(3) = 21(3)^2 + 5

= 21(9)+5

=194m/s

C.) Same thing, well derive the v(t)

v' = 42t

D.) One more plug and play

a = 42(3)

= 126m/s^2

Answer: The equation -0.67x + 0.47x = 6.4 is equivalent to -0.2x = 6.4

Step-by-step explanation: To solve this equation for x, we can divide both sides of the equation by -0.2

x = 6.4 / -0.2

x = -32

Therefore, x = -32 is the solution to the equation -0.67x + 0.47x = 6.4

This solution represents the value of x that makes the equation true.

The line with slope -2 through the point (-13, 21) is y = -2x + b where b= y intercept, found by plugging in the values x=-13 and y=21.

21 =-2(-13) + b

b = 21 -26 = -5

y =-2x -5 is the equation in slope intercept form

or

2x +y =-5 in standard form the graph is a downward sloping straight line

y intercept is (0,-5), x intercept is (-5/2, 0) = (-2 1/2, 0)

plot those two points,  connect them with a straight line

add arrows on both ends of the line to indicate the line goes forever in both directions

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The total bill with 6 percent of tax is $36.87, for which the server must be paid one $20 bill, one $10 bill, one $5 bill, one $1 bill and 0.87 pennies.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred.

The amount for total bill is $34.78.

The sales tax percentage added is 6%.

The total bill including tax will be -

Final Bill = Total Bill + (Total Bill × tax)

Substitute the values into the equation -

Final Bill = 34.78 + (34.78 × 6%)

Final Bill = 34.78 + (34.78 × 0.06)

Final Bill = 34.78 + 2.0868

Final Bill = 36.8668 ≈ 36.87

Therefore, the final bill is $36.87.

The amount of $20 bill = 1

The amount of $10 bills = 2

The amount of $5 bills = 1

The amount of $1 bills = 5

The amount of pennies = x

So, the amount of bill given to server to make a total of $36.87 is -

1 × ($20) + 1 × ($10) + 1 × ($5) + 1 × ($1) + x = $36.87

20 + 10 + 5 + 1 + x = 36.87

36 + x = 36.87

x = 36.87 - 36

x = 0.87

Therefore, along with 1 bill each 0.87 pennies should be given to the server.

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Random sampling is a method of selecting a sample of items from a population in which the probabilities of selecting each item are the same.

Random sampling is used to ensure that each item in the population has an equal opportunity to be selected in the sample.

In this scenario, a random sample of size 40 is needed from a population of 200 items. The random start of 4 will be used to begin the sample selection process.

To begin, a list of all the items in the population should be created. Then, a random number generator can be used to select the first item in the sample, based on the random start of 4.

The next item in the sample should be selected at random from the remaining items in the population, and so on until the desired sample of 40 items is obtained.

Random sampling is an important method for ensuring that a sample is representative of the population it is drawn from.

This method helps to eliminate bias from the sample selection process and ensures that the sample accurately reflects the characteristics of the population.

Random sampling is used in many areas of research, including surveys, data collection, and experiments.

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The complete question is: Given a population of 200 items, select A sample of size 40 using a random number 4.

Answer:

Step-by-step explanation:    A. IS CORRECT

Answer:
it took Sean 3 hours to write the essay.

Step-by-step explanation:

We know that the ratio of time Sean spent writing the essay to the time he spent revising the essay was 4:1, which means that for every 4 units of time he spent writing the essay, he spent 1 unit of time revising it.

Let's call the time he spent writing the essay "x" and the time he spent revising the essay "y". We know that x + y = 15 (because he spent a total time of 15 hours writing and revising the essay) and that the ratio of x to y is 4:1, so 4x = y.

We can substitute the second equation into the first equation:

x + 4x = 15

5x = 15

x = 3

So it took Sean 3 hours to write the essay.

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This fraction can be simplified to its lowest terms, which is 8/15.

In mathematics, a fraction is in its lowest terms when its numerator and denominator cannot be divided by any other number than one. This means that the numerator and denominator of the fraction do not share any common factors, except one. To convert a fraction to its lowest terms, divide the numerator and denominator by any common factors they may have.

To solve this problem, we need to first convert both fractions to have the same denominator. To do this,

we can multiply the denominator of 4/9 by 5/5,

which is equal to 20/45.

Then, we can multiply the denominator of 6/15 by 3/3,

which is equal to 18/45.

Now that both denominators are the same,

we can add the numerators together to get a sum of 8/15.

This fraction can be simplified to its lowest terms,

which is 8/15.

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Answer:

No.C 5 is the correct answer

Answer:

c is the correct answer..

The value of C is 1/3 for the probability density function f(x)=cx , 0<x<2.

The probability density function is a function of a continuous random variable, whose integral across an interval gives the probability that the value of the variable lies within the same interval.

Given that the function as;

f(x)={cx} ,at 0,

0≤x≤2

Here, we can see that the value of x is varies as 0,1,2

So, at 0,1,2 the value of the function is

f(1) = c

f(2) = 2c

Thus, the probability density function is given as:

f(x) = f(1) + f(2)

f(x) =c + 2c = 1

3c = 1

c = 1/3

Therefore, the value of C=1/3

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Answer:

The patient's blood sugar levels should stay within the range of 73 to 93 milligrams per deciliter in order to be considered within the normal range. Any blood sugar level below 73 milligrams per deciliter or above 93 milligrams per deciliter should be monitored closely and adjustments may need to be made to their diet or medications.

The number of sausage rolls is 8 and the chicken pie is 12.

How many of each item did she buy?

The first step is to form a system of equations using the information in the question:

c + s= 20 equation 1

2.50c - 1.50s = 18 equation 2

Where:

c = number of chicken pies bought

s = number of sausage rolls bought

The elimination method would be used to determine the required values.

Multiply equation 1 by 2.50

2.5c + 2.5s = 50 equation 3

Subtract equation 2 from equation 3:

4s = 32

Divide both sides of the equation by 4

s = 32 / 4

s = 8

Substitute for s in equation 1:

c + 8= 20

c = 20 - 8

c = 12

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The limit of the function [tex]\lim_{x\rightarrow 2}\frac{x^3-8}{x-2}[/tex] is 12 and from the graph, we can say that for x = 2, g (x) is continuous while f (x) is not.

The function is [tex]\lim_{x\rightarrow 2}\frac{x^3-8}{x-2}[/tex].

We firstly simplify the expression.

We can write the function as:

[tex]\lim_{x\rightarrow 2}\frac{x^3-8}{x-2}[/tex] = [tex]\lim_{x\rightarrow 2}\frac{(x)^3-(2)^3}{x-2}[/tex]

Using the formula, [tex](a)^3-(b)^3 = (a-b)(a^2+ab+b^2)[/tex]

[tex]\lim_{x\rightarrow 2}\frac{x^3-8}{x-2}[/tex] = [tex]\lim_{x\rightarrow 2}\frac{(x-2)(x^2+2x+4)}{x-2}[/tex]

Simplify

[tex]\lim_{x\rightarrow 2}\frac{x^3-8}{x-2}[/tex] = [tex]\lim_{x\rightarrow 2}[/tex](x^2 + 2x + 4)

Using, [tex]\lim_{x\rightarrow c}[/tex] f(x) = f(c)

[tex]\lim_{x\rightarrow 2}\frac{x^3-8}{x-2}[/tex] = [(2)^2 + 2×2 + 4]

[tex]\lim_{x\rightarrow 2}\frac{x^3-8}{x-2}[/tex] = (4 + 4 + 4)

[tex]\lim_{x\rightarrow 2}\frac{x^3-8}{x-2}[/tex] = 12

We have [tex]\frac{x^3-8}{x-2}[/tex] = (x^2 + 2x + 4)

So the simpler function is

g(x) = (x^2 + 2x + 4)

that agrees with the function f(x) = [tex]\frac{x^3-8}{x-2}[/tex] except x = 2.

Now we graph the function f(x) and g(x).

We can see that for x = 2, g (x) is continuous while f (x) is not.

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The complete question is:

Write a simpler function that agrees with the given function at all but one point. Then find the limit of the function. Use a graphing utility to confirm your result.

[tex]\lim_{x\rightarrow 2}\frac{x^3-8}{x-2}[/tex]

Answer:

approximately 87,178,291,200

Step-by-step explanation:

The number of ways to arrange the letters of the word 'jvuyojzrxccome' is 14! (14 factorial), since there are 14 distinct letters in the word. This is a very large number, approximately 87,178,291,200.

Answer:

Step-by-step explanation:

A security is a financial instrument, generally any financial asset that can be traded. The nature of what is and is not considered a security generally depends on the jurisdiction in which the asset is traded. Securities are transferable financial instruments issued by companies or governments that convey ownership, debt obligations, or the right to buy, sell, or trade options.

It may represent a company represented by an ownership interest in the company in the form of shares, a creditor relationship with a government agency, or an ownership interest in the bonds of that agency or property rights represented by options.

Debt or fixed income securities represent loans that must be repaid on terms that indicate the amount borrowed, interest rate, and maturity date. In other words, a debenture is an instrument of debt such as a bond or a certificate of deposit (CD) that can be traded between parties. Debt securities, such as bonds and certificates of deposit, typically require the owner to make periodic interest payments, repay principal, and other contractual rights. Such securities are typically issued for a period of time and eventually repaid by the issuer.

In a case whereby formula for the area of a triangle is A=1/2bh. Kevins answer for the area of this triangle is 40 inches2, then Kevins solution is not correct because the correct solution is 20inches.

The concep[t that will be used is the area of triangle, The area of the triangle can be calculated using

A=1/2bh

where  A = area

b = base=5

h= height =8

then A=1/2*8*5= 20 inches

Therefore, the correct area of triangle from the fiqure is 20 inches

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The manager is mistaken in believing that the set of integers is the best domain for this model. The domain in this case represents the times of day when shoes were sold.

Hours are continuous values that can be any real number between 0 and 24. As a result, a set of real numbers such as 0 = t = 14, where t represents the hour of the day, would be a better domain for this model.

The manager wants to achieve by analyzing the data. This could be to gain insights into customer behavior, identify areas for improvement, measure the success of marketing efforts, etc.

The domain of integers would be appropriate only if the number of pairs of shoes sold could only be an integer value, which is not the case for online shoe sales.

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Based on the information in the graph, we can infer that the correct answer is A. None of the above, since none of the options represents the intersection of the set A and B.

The symbol ∩ is used in set theory to refer to the set that contains all those elements that A and B have in common.

Based on the above, we can infer that this refers to the central set in which the number 1 is found. However, none of the options have this value, so the correct answer would be A. none of the above.

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To fit the mascot's digital image on the school's Web page, it needs to be resized. To determine the largest image that will fit, we need to find the aspect ratio of the Web page and the aspect ratio of the digital image and keep the aspect ratio the same after resizing.

How is the ratio defined?

A ratio depicts the quantity of one object in relation to another. Ordinarily, ratios are expressed in the format a:b. If you're preparing orange squash, the ratio of orange to water will be one part orange to four parts water (1 to 4).

The aspect ratio of the Web page is 176 pixels wide / 110 pixels high = 1.6.

The aspect ratio of the digital image is 600 pixels wide / 375 pixels high = 1.6.

Since both aspect ratios are the same, we can simply choose the smaller dimension from the Web page (110 pixels) to determine the size of the resized image.

So, the resized image will be 110 pixels high and the width will be 110 pixels * 1.6 aspect ratio = 176 pixels.

Therefore, the largest image of the mascot that will fit on the Web page is 176 pixels wide by 110 pixels high.

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The expected number of offspring, given the probabilities of offspring is   1. 64 offspring.

To find the expected number of offspring to the healthy adult female, look at the probability of an offspring and the number of offspring.

Multiply these probabilities with the offspring and then sum up the quotients.

The expected number of offspring is therefore:

= ( 0 x 30 %) + ( 1 x 0.22 ) + ( 2 x 0.17 ) + ( 3 x 0. 16 ) + ( 4 x 0.15)

= 1. 64 offspring

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Step-by-step explanation:

The equation of the function is y = 1/2x.