16. Which of the following functions is represented by the graph below?(Show work or explain!)3(A) y = -(B) y = -2(C) y = -(D) y = -(E) y = -

Answer:

7). y = 140

8). x = 9

Step-by-step explanation:

Question (7).

All-right pencil factory will produce the graphite pencils, table formed will represent a linear graph.

Three points on the graph are (12, 42) and (18, 63), (40, y)

Slope of the line passing through these points = \(\frac{y_2-y_1}{x_2-x_1}\)

m = \(\frac{63-42}{18-12}\) = \(\frac{y-42}{40-12}\)

\(\frac{21}{6}\) = \(\frac{y-42}{40-12}\)

3.5 = \(\frac{y-42}{40-12}\)

98 = y - 42

y = 140

Question (8),

If a bicyclist rides at a constant rate, table formed will represent a linear graph.

Slope of a line passing through three points (2, 25), (5, 62.5) and (x, 112.5) given in the table,

m = \(\frac{y_2-y_1}{x_2-x_1}\)

\(\frac{62.5-25}{5-2}=\frac{112.5-62.5}{x-5}\)

\(\frac{37.5}{3}=\frac{50}{x-5}\)

37.5x - 187.5 = 150

37.5x = 337.5

x = 9

Answer:

The cost price of 250 grams of super mix cocoa is Kshs.650/1.3=Kshs.500.

The cost price of 1 kg of super mix cocoa is Kshs.500*4=Kshs.2000.

If x kg of cocoa A is mixed with (1-x) kg of cocoa B, then the cost price of the mixture is Kshs.1800x+Kshs.2400(1-x).

Therefore, Kshs.1800x+Kshs.2400(1-x)=Kshs.2000.

Solving for x, we get x=2/3.

Therefore, the cocoa types A and B are mixed in the proportion 2:1.

Answer:

x=22

Step-by-step explanation:

3x+3+27+x+3+2x+18=180

6x+48=180

6x=132

x=22

The amount of money that Theresa has left is equal to £2,740.

In order to write a linear equation to describe this situation, we would assign variables to the cost of flights for each of them and the cost of accommodation for each of them respectively, and then translate the word problem into a linear equation as follows:

Let the variable a represent cost of flights for each of them.

Let the variable f represent cost of accommodation for each of them.

Since Theresa paid for herself and 11 friends to go on holiday with a flight cost of £339 and accommodation cost of £266, a linear equation to describe this situation is given by;

y = 12(a + b)

y = 12(266 + 339)

y = £7,260

For the amount of money left, we have:

Amount of money left = £10,000 - £7,260

Amount of money left = £2,740.

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Answer:

Hello your question is poorly written attached below is the complete question

answer :  attached below

Step-by-step explanation:

To Prove: Z is located 2/3 of the distance from each vertex of ΔABC to the midpoint of the opposite side. we will apply ; property of bisecting a line , equality theorem , transitive property and similarity theorem

Attached below is the proof

The person who gets to say the last number, 1000, will be Person 6.

Here, we have,

In this scenario, we have seven people sitting in a circle and counting clockwise. The goal is to determine which person will say the last number when they reach 1000. To solve this problem, we can use the concept of modular arithmetic.

When dividing 1000 by the total number of people (7), we get a quotient of 142 and a remainder of 6 (1000 = 142*7 + 6). This means that after completing 142 full rounds of counting, the group will have reached the number 994 (142*7). In the next round, they will continue counting from 995 to 1000.

Since the remainder is 6, it indicates that the last number (1000) will be spoken by the person sitting 6 positions after the first person in the circle (clockwise). In other words, Person 1 says numbers 1, 8, 15, and so on, while Person 6 will say 6, 13, 20, and so on.

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complete question:

10) Seven people sit in a circle and begin counting clockwise starting from 1.Each person in the group is keeping track of the numbers she is saying (e.g. 1,8, 15...) If they continue in this way, counting on and on, until they reach 1000, which person will get to say the last number

Answer:

ZOOM PLZ COME WE R BORED

MEETING ID 798 4170 2552

PASSWORD:XCNeV3

Step-by-step explanation:

Scale factor is 11.39 and ratio is 729:64

The scale factor is a measure for similar figures, who look the same but have different scales or measures.

volume of two similar spheres are 128m³ and 1458m³.

Scale factor= volume of sphere 1/ volume of sphere 2

= 1458/128

= 729/64

= 11.39

and the ratio = 729 : 64

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Answer:

-0.9

Step-by-step explanation:

it is closer to 0

Answer:

16/40 = 40%

Step-by-step explanation:

I divided 16/40 and got 0.4,

To turn a decimal into a percentage, either multiply by 100 or move the decimal to the right 2 times.

Answer:

It will take them approximately 51.43 minutes to complete the project together

Step-by-step explanation:

This is what is called a "shared job" problem.

The best way to work on them is to start by finding the "portion" of the job done by each of the people in the unit of time.

So, for example, Sarah completes the project in 90 minutes, so in the unit of time (that is 1 minute) she completed 1/90 of the total project

Betty completes the project in 120 minutes, so in the unit of time (1 minute) she completes 1/120 of the total project.

We don't know how long it would take for them to complete the project when working together, so we call that time "x" (our unknown).

Now, when they work together completing the entire job in x minutes, in the unit of time they would have done 1/x of the total project.

In the unite of time, the fraction of the job done together (1/x) should equal the fraction of the job done by Sarah (1/90) plus the fraction of the job done by Betty. This in mathematical form becomes:

\(\frac{1}{x} =\frac{1}{90} +\frac{1}{120}\\\frac{1}{x} =\frac{4}{360} +\frac{3}{360}\\\frac{1}{x} =\frac{7}{360} \\x=\frac{360}{7} \\x=51.43\,\,min\)

So it will take them approximately 51.43 minutes to complete the project together.

Answer:

Step-by-step explanation:

Answer:true

Step-by-step explanation:because yes

Answer:

22222

Step-by-step explanation:

Using it's formula, considering a loan of $10,000, the regular monthly payments required to pay off the loan will be of $221.3.

It is given by:

\(A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}\)

In which:

In this problem, we have that the parameters are given as follows:

P = 10,000, r = 0.0299, n = 4 x 12 = 48.

Then:

r/12 = 0.0299/12 = 0.00249167.

Hence, the monthly payment will be given by:

\(A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}\)

\(A = 10000\frac{0.00249167(1+0.00249167)^{48}}{(1+0.00249167)^{48} - 1}\)

A = 221.3.

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Answer:

See explanation

Step-by-step explanation:

Solution:-

- We are told that a drug is administered to a patient at a rate of ( r ). The drug present in the patient at time t is Q. The drug also leaves the patient's body at a rate proportional to the amount of drug present at time t.

- We will set up the first order ODE for the rate of change of drug ( Q ) in the patient's body.

                       \(\frac{dQ}{dt} = ( in-flow ) - ( out-flow )\)

- We know that the rate of inflow is the rate at which the drug is administered that is ( r ) and the flow out is proportional to the amount currently present in the patient's body ( k*Q ). Where ( k ) is the constant of proportionality:

                    \(\frac{dQ}{dt} = ( r ) - ( k.Q )\)

- Express the ODE in the standard form:

                    \(\frac{dQ}{dt} + k*Q = r\)

- The integrating factor ( u ) for the above ODE would be:

                  \(u = e^\int^ {k} \, ^d^t = e^(^k^t^)\)

- Use the standard solution of ( Q ) using the integrating factor ( u ):

                 \(u*Q =\int {u.r} \, dt + c\\\\e^(^k^t^)*Q =\int {e^(^k^t^).r} \, dt + c\\\\e^(^k^t^)*Q =\frac{r}{k}*e^(^k^t^) + c\\\\Q = \frac{r}{k} + c*e^(^-^k^t^)\)

Where, c: the constant of integration.

- The initial value problem is such that there is no drug in the patient body initially. Hence, Q ( 0 ) = 0:

               \(Q = \frac{r}{k} + c*(1) = 0\\\\c = -\frac{r}{k}\)

- The solution to the ODE is:

               \(Q(t) = \frac{r}{k}* [ 1 - e^(^-^k^t^) ]\)  .... Answer

- We can use any graphing calculator to plot the amount of drug ( Q ) in the patient body. The limiting value of the drug in the long-run ( t -> ∞ ) can be determined as follows:

              Lim  ( t -> ∞ ) [ Q ( t ) ] = Lim  ( t -> ∞ ) [ \(\frac{r}{k}* [ 1 - \frac{1}{e^(^-^k^*^i^n^f^) } ]\)  

              Lim  ( t -> ∞ ) [ Q ( t ) ]  =   \(\frac{r}{k}* [ 1 - 0 ] = \frac{r}{k}\)

- The long-run limiting value of drug in the body would be ( r / k ).

- If the rate of drug administrative rate is doubled then the amount of ( Q ) at any time t would be:

             \(Q = \frac{2*r}{k} * [ 1 - e^(^-^k^t^) ]\)

- The multiplicative factor is 2.

- To reach half the limiting value ( 0.5* r / k ) the amount of time taken for the double rate ( 2r ) of administration of drug would be:

           \(Q = \frac{2*r}{k} * [ 1 - e^(^-^k^t^) ] = \frac{r}{2*k} \\\\1 - e^(^-^k^t^) = \frac{1}{4} \\\\e^(^-^k^t^) = \frac{3}{4} \\\\kt = - Ln [ 0.75 ]\\\\t = \frac{- Ln [ 0.75 ]}{k}\)

- Similarly for the normal administration rate ( r ):

           \(Q = \frac{r}{k}* [ 1 - e^(^-^k^t^) ] = \frac{r}{2k} \\\\1 - e^(^-^k^t^) = \frac{1}{2} \\\\e^(^-^k^t^) = \frac{1}{2} \\\\kt = - Ln ( 0.5 ) \\\\t = \frac{ - Ln( 0.5 )}{k}\)

- The multiplicative factor ( M ) of time taken to reach half the limiting value is as follows:

               \(M = \frac{\frac{-Ln(0.75)}{k} }{\frac{-Ln(0.5)}{k} } = \frac{Ln ( 0.75 )} { Ln ( 0.5 ) }\)

- Similarly repeat the above calculation when the proportionality constant ( k ) is doubled.

Answer:

5 out of 6, or 83%

Step-by-step explanation:

6 sides and since it will not land on 3.  It will be 5/6 which equals 83%

Answer:

5,670,279

Step-by-step explanation:

3,840,159 reversed is, 9,510,483 so, 9,510,483 - 3,840,159 = 5,670,279

Answer:

B

Step-by-step explanation:

Yes, because for each input there is exactly one output. You can have two of the same x values but you cannot have 2 of the same y values. if you have two of the same y values, it is not a function as it doesn't pass the vertical line test.

In order to find the value of y when x = -1. in the given equations,

we put or substiture the value of x = 1 into the given equations

To solve for y in the first equation

To solve for y in the second equation

To solve for y in the third equation

To solve for y in the fourth equation:

Answer: To find the image of a figure under a translation, you need to apply the same translation to every point in the figure.

In this case, the image of hexagon DEFGHI is hexagon D′E′F′G′H′I′. To find the image of each point, you can apply the translation that maps point D to point D′.

For example, to find the image of point E under the translation, you can apply the same translation that maps point D to point D′:

Point D is located at (2, 5).

Point D′ is located at (-6, -2).

The translation that maps point D to point D′ is a translation 6 units to the left and 2 units down.

To find the image of point E under this translation, you can apply the same translation to point E:

Point E is located at (5, 5).

The image of point E is located at (5 - 6, 5 - 2) = (-1, 3).

You can follow the same process to find the images of the other points under the translation.

Alternatively, you can use the coordinates of point D and point D′ to find the translation vector that describes the translation. The translation vector is a displacement that describes the change in position of a point under the translation.

In this case, the translation vector is given by the displacement from point D to point D′:

Point D is located at (2, 5).

Point D′ is located at (-6, -2).

The translation vector is given by the displacement (-6 - 2, -2 - 5) = (-8, -7).

To find the image of any point under the translation, you can add the translation vector to the coordinates of the point. For example, to find the image of point E under the translation, you can add the translation vector to the coordinates of point E:

Point E is located at (5, 5).

The translation vector is (-8, -7).

The image of point E is located at (5 - 8, 5 - 7) = (-3, -2).

You can follow the same process to find the images of the other points under the translation.

Step-by-step explanation:

The firm's federal income tax is $57,168.

To calculate the firm's federal income tax, we need to determine its taxable income first. Taxable income is calculated by subtracting deductions from the firm's total income.

In this case, the firm's total income consists of income from operations, interest income, and dividend income.

Total income:

Income from operations = $231,000

Interest income = $23,100

Dividend income = $29,700

Total income = $231,000 + $23,100 + $29,700 = $283,800

Next, we deduct expenses from the total income. In this case, the only relevant expense is the interest paid to bondholders:

Total expenses = Interest paid to bondholders = $11,000

Taxable income = Total income - Total expenses = $283,800 - $11,000 = $272,800

Now, we can calculate the federal income tax by applying the federal tax rate of 21% to the taxable income:

Federal income tax = Taxable income * Federal tax rate

Federal income tax = $272,800 * 0.21 = $57,168

Therefore, the firm's federal income tax is $57,168.

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Ivanna's score was at the 36th percentile, will be 99.64 and Aldo's score was at the 19th percentile, will be 99.81.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Last year, over 10,000 students took an entrance exam at a certain state university.

Let the maximum score be 100.

Ivanna's score was at the 36th percentile, will be

⇒ [(10,000 – 36) / 10,000] x 100

⇒ 99.64

Aldo's score was at the 19th percentile, will be

⇒ [(10,000 – 19) / 10,000] x 100

⇒ 99.81

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Answer:

\( - 16 < - 0.41111... < -0.41 < \frac{3}{7} < 1.25 < 11\)

Step-by-step explanation:

\( \frac{3}{7} = 3 \div 7 = 0.428...\)

Answer:

There are 14 pieces of candy in each box.

Step-by-step explanation:

42 divided by 3 equals 14.

Could I please have Brainliest.

Answer:

there is no picture

Step-by-step explanation:

sorry without a picture i cant :(

The number that is equal to four and five sixths is A. four and eighty three hundredths with the three repeating

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

The number that is equal to 4 5/6 will be illustrated thus:

= 4 5/6

= 4 + 0.8333.

= 4.8333

In this vase, the 3 is repeating. Therefore, the correct option is A.

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Answer is x ≥ -1/2 so the graph is option C.