Use function notation to write the equation of the line.

please help

Answer:

thirty-five and seven tenths

Answer:

(3 x 10)+(5 x 1)+(7 x 0.1)

or

30+5+.7

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

x² = 8x - 16

x² - 8x + 16 = 0

(x - 4)² = 0

x = 4

Answer:

3 hours

Step-by-step explanation:

3 Men-5 hours

5 men-?

1 man-3×5= 15 hours

therefore 5 men =15÷5= 3 hours

Each piece Measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

When a particular angle is cut into nine equal parts, the measure of each piece needs to be calculated.

Therefore, it is essential to first calculate the total angle measure and then divide it by the number of parts into which it is being cut.

What is an Angle?

An angle is a geometrical shape that consists of two rays sharing a common endpoint. The common endpoint is known as the vertex, and the two rays are known as the arms of the angle. An angle can be measured in degrees, radians, or gradians. Degrees are the most commonly used unit of measuring angles.How to Calculate Each Piece Measurement of an Angle if Cut into 9 Equal Lengths

To determine each piece measurement of an angle if cut into nine equal lengths, we will need to carry out the following steps:

Step 1: Calculate the total angle measure Suppose the angle being cut into nine equal lengths is an obtuse angle measuring 120 degrees. In that case, the total angle measure will be 120 degrees.

Step 2: Divide the total angle measure by the number of parts into which it is being cut.120 degrees ÷ 9 = 13.3333 degrees

Step 3: Add the kerf width to the piece measurements.0.125 x 9 = 1.125 degrees13.3333 + 1.125 = 14.4583 degrees

Therefore, each piece measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

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Answer:

oc,2

Step-by-step explanation:

(__(_+)£)£(£886++17+£7+

Answer:

To construct: A right angle triangle DEF where DF=6cm and EF=4cm

Steps of construction:

(a) Draw a line segment EF=4cm

(b) At point Q, draw EX⊥EF

(c) Taking F as centre and radius 6cm, draw an arc (Hypotenuse)

(d) This arc cuts the EX at point D

(e) Join DF

It is the right angled triangle DEF

Answer:

C  5

Step-by-step explanation:

The two lines can both intersect the circle twice, and can intersect each other once, so 2 + 2 + 1 = 5

Using an exponential function, it is found that there will be 8290 landlines in 5 years.

A decaying exponential function is modeled by:

\(A(t) = A(0)(1 - r)^t\)

In which:

In this problem, we have that the initial value and the decay rate are given as follows:

A(0) = 25300, r = 0.2.

Hence the function is given by:

\(A(t) = 25300(0.8)^t\)

In t = 5 years, the amount of landlines will be given by:

\(A(5) = 25300(0.8)^5 = 8290\)

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Answer:

1.42

Step-by-step explanation:

Answer-> the average weight of chipmunks is 87 grams. About half of the chipmunks weigh more than 87 grams

Answer:

D is correct

Step-by-step explanation:

Biologists studying wildlife in the state parks want to estimate the average weight of chipmunks. They measured the weights of 5 chipmunks from each of 10 parks. The mean of the data was 91 grams, and the median was 87 grams. Which predictions match the data?

About one-half of the chipmunks weigh more than 91 grams.

The average weight of the chipmunks is 87 grams.

About one-half of the chipmunks weigh more than 87 grams.

The average weight of the chipmunks is 91 grams.

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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After 300 trials, the experimental probabilities may not align perfectly with the theoretical probabilities. However, with more trials, the experimental probabilities tend to converge towards the theoretical probabilities for closer alignment.

To examine whether experimental probabilities after 300 trials align closely with theoretical probabilities, let's consider an example of flipping a fair coin.

Theoretical probability: When flipping a fair coin, the theoretical probability of obtaining heads or tails is 0.5 each. This assumes that the coin is unbiased and has an equal chance of landing on either side.

Experimental probability: After conducting 300 trials of flipping the coin, we record the outcomes and calculate the experimental probabilities. Let's assume that heads occurred 160 times and tails occurred 140 times.

Experimental probability of heads: 160/300 = 0.5333

Experimental probability of tails: 140/300 = 0.4667

Comparing the experimental probabilities to the theoretical probabilities, we can observe that the experimental probability of heads is slightly higher than the theoretical probability, while the experimental probability of tails is slightly lower.

In this particular example, the experimental probabilities after 300 trials do not align perfectly with the theoretical probabilities. However, it is important to note that these differences can be attributed to sampling variability, as the experimental outcomes are subject to random fluctuations.

To draw a more definitive conclusion about the alignment between experimental and theoretical probabilities, a larger number of trials would need to be conducted. As the number of trials increases, the experimental probabilities tend to converge towards the theoretical probabilities, providing a closer alignment between the two.

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The question probable may be:

Do experimental probabilities after 300 trials tend to align closely with theoretical probabilities? Consider an example scenario and calculate both the theoretical and experimental probabilities to determine if they are close.

Introducing numeracy to young children can be done through various types of equipment and resources that engage their senses and make learning math concepts more interactive and enjoyable.

Here are some different types of equipment commonly used to introduce numeracy to young children:

Thus, by incorporating a variety of equipment and resources, educators and parents can create a rich learning environment that supports children's numeracy development and fosters a positive attitude towards math.

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V = 19.739 is  the volume of the solid below the surface of revolution and above the xy-plane.

What is the solid's volume?

The amount of space that a solid occupies is expressed in terms of its volume. It is calculated using the quantity of unit cubes required to completely fill the solid.

                 We have 30 unit cubes in the solid after counting the unit cubes, hence the volume is 2 units. 3 units 30 cubic units from 5 units.

Given Curve

z = sin(y) , (0 ≤ Y ≤ π)

It's on the y-z plane to see the volume of revolution.

It is the upper portion of the sine curve, from 0 to π, revolved around the z - axis.

A differential area element is then dA = z dx. Revolving this around the z - axis gives the differential volume element,

dV = 2πr dA

dV = 2π (z dx)

dV = 2πy sin(y) dx

Then, integrating (I used integration by parts, u = y, dv = sin(y) dy)

V = 2π{ - y cos(y) + sin(y)} evaluated between π and 0

V = 2π{ ( - π cos(π) + sin(π)) - ( - 0*cos(0) + sin(0)) }

V = 2π²

Then, to 3 decimal places

V = 2(3.14159265)2

V = 19.739

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The missing values are 2.5, 10 and 22.5

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Using equation (y2-y1)/(x2-x1) to find the slope.

Now using two points as (5, 12.5) and (6, 15.00)

So, (15-12.5)/(6-5)

=2.5/1

=2.5

Hence, single ticket costs 2.5

For 2 tickets,

= 2.5×2=5

The cost of two tickets is $5

For 4 tickets,

=  4×2.5=10

The cost of four tickets is $10

For 9 tickets,

= 2.5×9=22.5

The price of nine tickets is $22.5.

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Answer:

a: 210 codes are possible.

b: 1/210 is the probability of entering the correct code.

a) There are 1024 codes are possible.

b) The probability of entering the correct code on the first try is 1/1024.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

a)There are 4 possible numbers (1,2,3,4) that can be placed in 5 places. Therefore the are

N = {\(4^5\)}

   = 4 x 4 x 4 x 4 x 4

  = 1024

b) If we don't know the code (or it's part) we do it at 'full' random, so the probability

= 1/ 1024

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Answer:

210

Step-by-step explanation:

210 is the least common multiple of 14 and 15

The probability that the third largest observation in the sample is less than 0.7 is  0.2401 =  24.01%.

The sample size n = 5,

Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.

Probability that X₃ is less than 0.7:

Since X₃ is the third largest observation =  (X₁ and X₂) < 0.7.

The probability that X₃ is less than 0.7 is (0.7)² = 0.49.

.

The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.

We then get the product of both cases:

Probability = 0.49 * 0.49 = 0.2401

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The Journal entry is prepared and attached

What is a journal entry?

This is a term used in accounting to refer to tables built to show the accounting details showing debits and credits

The attached table is of four columns

The serial number shows the array or the sequence of which the transactions are made . in the table, the serial number is labelled in alphabetic form.

The transactions represents the business that went on. Instances of the transactions here is: Purchased $216 in equipment, paid by signing a $5 long-term note and so on. It is represented in the table attached. The transactions are shortened in the table.

The debits and the credits are the answers to the questions. They are the major accounting terms and this part of the column is filled by the accounting fundamentals. The principle of filling is basically: crediting the receiver and debiting the giver.

The journal  entry table is attached

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Complete question

E2-7 Recording Journal Entries [LO 2-3, LO 2-5]

NIKE, Inc., with headquarters in Beaverton, Oregon, is one of the world's leading manufacturers of athletic shoes and sports apparel The following activities occurred during a recent year. The dollar amounts in (a) and (b) ere presented "in millions," and the dollar amount in (dis per share. When reporting amounts "in millions," exclude the 000.000

a Purchased $216 in equipment paid by signing a $5 long-term note and fulfilling the rest with cash bissued $21 in additional common stock for cash contributions made by stockholders. c. Several NIKE investors sold their own stock to other investors on the stock exchange for $110 per share of stock

Enter question

Required:

1. For each of the events above, prepare journal entries. (If no entry is required for a transaction/event, select "No Journal Entry Required" in the first account field. Enter your answers in millions (ie, 10,000,000 should be entered

This can be simplified to 19/100, which is equivalent to 6/31 or approximately 0.19 or 19%. The answer is: 6 over 31.

what is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain. Probability can be expressed as a fraction, decimal, or percentage.

The question asks for the experimental probability of drawing a 3, 5, or 7 from a deck of cards, given the frequency table provided.

The frequency table tells us how many times each card was drawn out of a total of 100 draws.

To calculate the frequency of drawing a 3, 5, or 7, we add the frequencies of these cards: 4 (for 3) + 6 (for 5) + 6 (for 7) = 16. Note that we do not include the frequencies of any other cards.

To calculate the probability of drawing a 3, 5, or 7, we divide the frequency of these cards (16) by the total number of draws (100): 16/100 = 0.16. This means that in our experiment, we drew a 3, 5, or 7 approximately 16% of the time.

The total number of draws is 100, and the frequency of cards 3, 5, and 7 is 7+6+6=19.

Therefore, the experimental probability of drawing a 3, 5, or 7 is:

19/100 = 0.19

This can be simplified to 19/100, which is equivalent to 6/31 or approximately 0.19 or 19%.

Therefore, the answer is: 6 over 31.

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The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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Using the normal distribution, it is found that there is a 0.1611 = 16.11% probability that the 100 pledges total more than $5,700.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem:

The probability that the 100 pledges total more than $5,700 is 1 subtracted by the p-value of Z when X = 5700.

\(Z = \frac{X - \mu}{\sigma}\)

Considering the n instances:

\(Z = \frac{X - M}{s}\)

\(Z = \frac{5700 - 5333}{370}\)

\(Z = 0.99\)

\(Z = 0.99\) has a p-value of 0.8389.

1 - 0.8389 = 0.1611

0.1611 = 16.11% probability that the 100 pledges total more than $5,700.

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Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

The sequence -19, -11, -3, 5,... is arithmetic with a common difference of 8.

An arithmetic sequence is a sequence of numbers in which each term is obtained by adding a constant value, called the common difference (d), to the preceding term. To determine if the given sequence is arithmetic, we can find the differences between consecutive terms.

The difference between the second and first terms is 11 - (-19) = 30, and the difference between the third and second terms is -3 - (-11) = 8. The difference between the fourth and third terms is 5 - (-3) = 8. Since the differences between consecutive terms are the same, the sequence is arithmetic.

The common difference can be found by subtracting any term from the term that follows it. For example, the common difference can be obtained by subtracting the second term (-11) from the third term (-3), or by subtracting the third term (-3) from the fourth term (5).

In both cases, we get a common difference of 8. Therefore, the common difference of the given sequence is 8.

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Answer:

2x

Step-by-step explanation:

5, 10, 20, 40, 80

each step is multiplying by 2, therefore the sequence is 2x

The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.

To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.

Since the owner wants the total cost to be under $2000, we can set up the inequality:

43H + 750 < 2000

Now, let's solve this inequality for H, the number of hours:

43H < 2000 - 750

43H < 1250

Dividing both sides of the inequality by 43:

H < 1250/43

To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.

Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:

H < 29

Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.

By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.

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The  x and y-intercept of the equation [8x - 9y = 15] are ( 15/8, 0 ) and ( 0, -5/3 ) respectively.

Given the equation;

8x - 9y = 15

First, we find the x-intercepts by simply substituting 0 for y and solve for x.

8x - 9y = 15

8x - 9(0) = 15

8x = 15

Divide both sides by 8

8x/8 = 15/8

x = 15/8

Next, we find the y-intercept by substituting 0 for x and solve for y.

8x - 9y = 15

8(0) - 9y = 15

- 9y = 15

Divide both sides by -9

- 9y/(-9) = 15/(-9)

y = -15/9

y = -5/3

We list the intercepts;

x-intercept: ( 15/8, 0 )

y-intercept: ( 0, -5/3 )

Therefore, the  x and y-intercept of the equation [8x - 9y = 15] are ( 15/8, 0 ) and ( 0, -5/3 ) respectively.

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Answer:

all you got to do at the Sheldon also picks tomatoes from his garden.  He picked 5 310 kg, but 1.5 kg were rotten and had to be thrown away.  How many kilograms of tomatoes were not rotten?  Write an equation that shows how you reached your answer.

Step-by-step explanation:

Sheldon also picks tomatoes from his garden.  He picked 5 310 kg, but 1.5 kg were rotten and had to be thrown away.  How many kilograms of tomatoes were not rotten?  Write an equation that shows how you reached your answer.

1. It is false that when non-Standard unit used is small few unit's are

needed .

2. Objects with different shapes can have the same volume. True

3. Length, width and height and multiplied to find volume of a rectangular prism. True

4. It is false that volume is measured in square unit.

5. It is true that Volume is a measure of the amount of space inside an object.

6. The formula for volume of a rectangular prism is V = l × w × h. True

7. It is true that Standard units give a consistent and accurate measure of a container.

8. It is false that Non-Standard units cannot be used to measure volume.

9. Volume is measured in cubic units. True

Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.

Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).

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