Which function forms an arithmetic sequence when x = 1,2,3,…?
( help please! )

Hi there! Let me know if you have any questions about my answer:

5.6 cm³

Step-by-step explanation:

For this problem, we can assume* that the ham did not have any salt before curing.

The questions tells us:

- The mass of the salt: 12 g

- The density of salt: 2.16 g/cm³

We are looking for:

- The volume of salt

Solve using dimensional analysis, or the "unit cancellation method":

Write an equation.

\(V_{salt} = 12g * \frac{1 cm^{3}}{2.16g}\)        

Notice that the questions includes "cm³" in the units when discussing density. Volume can be given in cm³.

We want to multiply values with their units from the question so that, when the units cancel out, you will only have cm³ left.

In this equation set-up, "g" will cancel out because one is in the numerator (top number) and another is in the denominator (bottom number).

\(= \frac{12g*1 cm^{3}}{2.16g}\)          Both "g" units cancel out

\(= \frac{12*1 cm^{3}}{2.16}\)           Multiply 12 and 1 in the numerator

\(= \frac{12 cm^{3}}{2.16}\)              Divide 12 by 2.16 and keep the cm³ units

\(= 5.55... cm^{3}\)       Keep one extra digit** to help you round. The 5 in the middle rounds to 6.

\(= 5.6 cm^{3}\)            Final answer

*The ham is here to confuse you. The question doesn't give us enough information about the ham. We don't know how much ham there is, and we don't know how much salt was in the ham originally.

**12 has 2 significant figures. 2.16 has 3 significant figures. Since you're multiplying or dividing them together, you want the answer to round to 2 significant figures. Learn more about significant figures here: https://brainly.com/question/14463143

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Applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees

Based on the linear angles theorem, we have the following equation which we will use to find the value of y:

3y + 11 + 10y = 180

Add like terms

13y + 11 = 180

Subtract 11 from both sides

13y + 11 - 11 = 180 - 11

13y = 169

13y/13 = 169/13

y = 13

Plug in the value of y

3y + 11 = 3(13) + 11 = 50 degrees

10y = 10(13) = 130 degrees.

Therefore, applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees.

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If a bakery sold 328 mocha and 72 chocolate in one day, then the percent of the cupcakes sold that day were mocha is equals to the 21.95% ~ 22%.

Percentage is a way to a number as ratio or fraction where the denominator is 100. We use the percent symbol (%). It is mainly used to represent a portion of a whole or to compare two numbers. The percentage can be calculated by dividing the value by the total value and then multiplying the resultant by 100. The formula used to calculate the percentage is, P = (value/total value)×100%

We have, a bakery sells mocha cupcakes and chocolate cupcakes.

Number of mocha sold by it in one day= 328

Number of chocolate cupcakes sold by it in one day = 72

We have to determine the percent of the cupcakes sold that day were mocha. Using the above percent formula, the percent of the cupcakes sold that day were mocha, P \(=\frac{72}{328}× 100\) = 21.95% ~ 22%

Hence, required percent is 22%.

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Answer:

Growth;

A = 20,000(1.08)^t

A = 40(3)^t

P = 1700(1.07)^t

Decay;

A = 80(1/2)^t

A = 1600(0.8)^t

P = 1700(0.93)^t

Step-by-step explanation:

The key to differentiate between decay and growth is the term inside the bracket

For growth, the term inside the bracket is greater than 1, while for decay, the term inside the bracket is less than 1

Looking at the given equations, we have;

Growth;

A = 20,000(1.08)^t

A = 40(3)^t

P = 1700(1.07)^t

Decay;

A = 80(1/2)^t

A = 1600(0.8)^t

P = 1700(0.93)^t

Answer:

* For future readers *

I just took the test :)

Answer:

The answer is 13 1/8ft3

Explanation:

Substitute into the formula:

Volume = 3 1/2 x 2 1/2 x 1 1/2

= 7/2 x 5/2 x 3/2

= 105/8

= 13 1/8 ft3

Richard and Teo are 27 and 12 years old respectively .

Let the ages of Richard and Teo be x and y respectively.

Richard's and Teo's combined ages = 39

Equation formed ⇒ x + y = 39     ...(1)

Richard's age is 3 years older than twice Teo's age means,

Equation formed ⇒ x = 2y +3       ...(2)

Solving equations 1 and 2

⇒ x + y = 39

⇒ x - 2y = 3

Subtracting equation 2 from 1 ,

⇒ 3y = 36

⇒ y = 12

Putting the value of y in equation 1

⇒ x + 12 = 39

⇒ x = 27

Hence, Richard and Teo are 27 and 12 years old respectively .

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The value of z is determined by capital-to-labor ratio and it is greater than 1.

The value of z is determined by the capital-to-labor ratio of each firm, specifically the ratio between the capital used (K) and the labor employed (L). To find the value of z, we need to compare the capital-to-labor ratios of Tom's firm (Kt/Lt) and Dana's firm (Kd/Ld).

Comparing the production functions, we can see that Tom's firm has a capital exponent of 0.7, while Dana's firm has a capital exponent of 0.3. Similarly, Tom's firm has a labor exponent of 0.3, while Dana's firm has a labor exponent of 0.8.

Since the capital exponent in Tom's firm (0.7) is greater than the capital exponent in Dana's firm (0.3), Tom's firm has a larger capital-to-labor ratio. This implies that Tom's firm uses relatively more capital compared to labor in the production process.

Therefore, z, which represents the ratio of Dana's firm's capital-to-labor ratio to Tom's firm's capital-to-labor ratio, will be less than 1. This means that Dana's firm uses relatively less capital compared to labor.

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The dimensions of the scale model of your room would be 3/4 inch represents 1 foot. To determine the dimensions of the scale model, we need to apply the scale ratio of 3/4 inch represents 1 foot.

Let's assume the length and width of your actual room are L feet and W feet, respectively. To find the dimensions of the scale model, we can multiply the actual dimensions by the scale ratio.

The length of the scale model would be L * (3/4) inch, and the width would be W * (3/4) inch.

For example, if your actual room is 12 feet long and 10 feet wide, the dimensions of the scale model would be:

Length of the scale model = 12 feet * (3/4) inch = 9 inches

Width of the scale model = 10 feet * (3/4) inch = 7.5 inches

Therefore, the scale model would have a length of 9 inches and a width of 7.5 inches, based on the given scale ratio.

It's important to note that when creating a scale model, maintaining the proportionality between the actual dimensions and the model dimensions is crucial to accurately represent the physical space in a smaller scale.

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Answer:

212 and I= 2000+212

              =2212

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

The midsegment is half the sum of the parallel bases, that is

\(\frac{1}{2}\) (3x + 3 + 4x + 2) = 13

\(\frac{1}{2}\) (7x + 5) = 13 ( multiply both sides by 2 )

7x + 5 = 26 ( subtract 5 from both sides )

7x = 21 ( divide both sides by 7 )

x = 3

It is C because if you pinpoint 1.5 on the x axis and look at the y axis right above it, go to the right and you will see 15 so C is the answer.

Answer: 14.13

Step-by-step explanation:

3.14 x Radius

The radius is half of the diameter which is  4.5

the Equation is 3.14 x 4.5=14.13

Answer:

The function is neither odd, nor even

Step-by-step explanation:

It is because an even function is always symmetrical in respect with the y axis

It is because an odd function is always symmetrical in respect with the origin

Confidence level feature of the poll was ​ omitted

To find the what important feature of the poll was ​ omitted?.

The illustration showed that​ 26% of applicants said the biggest interview turnoff is that the applicant did not make an effort to learn about the job or the company.

The margin of error was given as plus or minus 3 percentage points.

The important feature of the poll that was​ omitted was - confidence level.

The percent of all samples that are included in the true population parameter is given by a confidence level.

Confidence interval defines the probability that the given population parameter will fall within a specific range of values.

Mathematically we can express the scenario as :

Sample size is given as 1910​ professionals

Point estimate is 26%

Confidence level is not given.

Confidence interval is plus or minus 3 percent around 26%.

Hence, Confidence level feature of the poll was ​ omitted.

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Answer:

Quick Clean..........

Using the z-distribution, the 95% confidence interval to describe the total percentage of students who do not like ice cream is:

(8.34%, 17.66%).

A confidence interval of proportions is given by:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which:

In this problem, we have a 95% confidence level, hence\(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

For this problem, the estimate and the sample size are given, respectively, by:

\(\pi = 0.13, n = 200\)

Hence the bounds of the interval are:

As a percentage, the interval is:

(8.34%, 17.66%).

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Answer: B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

let the 2 consecutive odd numbers be x and x + 2 , then the sum is

x + x + 2 = 72 , that is

2x + 2 = 72 → B

subtract 2 from both sides

2x = 70 ( divide both sides by 2 )

x = 35

x + 2 = 35 + 2 = 37

the 2 consecutive odd numbers are 35 and 37

A(n) MODEL is a mathematical representation of an object created by a special software.

In computer science, a model is a mathematical abstraction of a system, process, or phenomenon that is intended to be simulated or executed on a computer system. A model is used to represent a system or process as a set of mathematical equations or logical rules in order to simulate or analyze it with a computer program.

                                                  It can be a physical object, such as a car or building, or an abstract concept, such as an economic system or a social network. In general, a model can be a simple or complex representation of a real-world object or process, and it can be used for a variety of purposes, such as predicting future outcomes, testing hypotheses, or designing new systems.

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The exponential function is P(t)=60(4)^t that can be expressed in terms of feature of the subsequent form: f ( x ) = a x.

Initial population 'a'=60 rabbits

After 1 year, the rabbit population is 240.

An exponential feature is a mathematical feature of the subsequent form: f ( x ) = a x. wherein x is a variable, and a is a regular known as the bottom of the feature.

Equation of the exponential function.

y=ab^x

Put x=0, y=60

60=ab^0

a=60

Put x=1, y=240

240=60(b)^1

b=4

Thus,

y=60(4)^x

P(t)=60(4)^t

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Answer:

n = 10

Step-by-step explanation:

(10 * 3) + 7 = 37

Answer: 6

Step-by-step explanation:

With these type of problems, it is best to work backwards.

1. Because of the seven more, you subtract 7 from 25. This gives you 18.

2. Then it says three times, this means to divide by 3. 18/3 is 6

3. Your final answer is 6

Proving the answer is 6:

1.   3 \(*\\\) 6 = 18

2. 18 + 7 = 25

Answer:

5

Step-by-step explanation:

x−y=−11, so x = y - 11

y+7=−2x, y + 7 = -2(y - 11)

y + 7 = -2y + 22

3y + 7 = 22

3y = 15

y = 5

The area under the standard normal distribution curve between z = 1 and z = 1.73 is 0.1169 (rounded to three decimal places).

To find the area under the standard normal distribution curve between the z-scores of 1 and 1.73, we need to calculate the cumulative probability or area under the curve.

Using a standard normal distribution table or a calculator, we can find the corresponding probabilities for each z-score.

For z = 1:

The cumulative probability or area to the left of z = 1 is approximately 0.8413.

For z = 1.73:

The cumulative probability or area to the left of z = 1.73 is approximately 0.9582.

To find the area between the two z-scores, we subtract the cumulative probability of the lower z-score from the cumulative probability of the higher z-score.

Area = 0.9582 - 0.8413 = 0.1169

Therefore, the area under the standard normal distribution curve between z = 1 and z = 1.73 is 0.1169 (rounded to three decimal places).

The question should be:

The values missed in the question are z = 1, z = 1.73

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Step-by-step explanation:

you can look it up

The minimum possible number of handshakes would occur if each person only shakes hands with two other people. In this case, the first person would shake hands with the second and third person, the second person would shake hands with the first and fourth person, the third person would shake hands with the first and fifth person, and so on. This pattern would continue until the 22nd person shakes hands with the 21st and 23rd person, and the 23rd person shakes hands with the 22nd and 21st person. Therefore, the minimum possible number of handshakes would be (23-1) or 22 handshakes.
Hi! To find the minimum possible number of handshakes among the 23 people attending the party, we need to ensure that each person shakes hands with at least two other people. Here's a step-by-step explanation:

1. Have the first person shake hands with two other people. This results in 2 handshakes.
2. For each subsequent person, have them shake hands with the two people that the previous person shook hands with.

Following this pattern, the first person will have 2 handshakes, and the remaining 22 people will each contribute 1 additional handshake, making a total of 22 handshakes.

So, the minimum possible number of handshakes among the 23 people at the party is 22 handshakes.

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Answer:

9.5 feet

Step-by-step explanation:

Area of square garden = side length²

⇒ 90 = l²

⇒ l = √90

⇒ l = 3√10

⇒ l = 9.5 feet (nearest tenth)

The length of one side lies between the whole numbers 9 and 10.

Answer:

9 and 10

side length = 9.5 ft (nearest tenth)

Step-by-step explanation:

Area of a square = s²  (where s is the side length)

Therefore, if the square garden measures 90 ft², the length of one side will be √90.

To find the two whole numbers that √90 lies between, find the perfect square either side of 90.

Perfect squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, ...

Therefore, 90 lies between 81 and 100:  

⇒ 81 < 90 < 100

Square root the numbers:

⇒ √81 < √90 < √100

⇒ 9 < √90 < 10

Therefore, the length of one side of Grandma's garden is between 9 and 10.

To estimate √90 to the nearest tenth, find the difference between the three numbers:

\(81 \overset{+9}{\longrightarrow} 90 \overset{+10}{\longrightarrow} 100\)

As 90 is almost in the middle of 81 and 100,

⇒ √90 = 9.5 (nearest tenth)

According to the calculator, √90 = 9.486832981... = 9.5 (nearest tenth)
which verifies the estimation.

Given a ray passing through a line at an angle of 29 degrees, the angle opposite to it (angle R) can be found by subtracting 29 degrees from 180 degrees. Therefore, the value of angle R is 151 degrees.

We are given that a ray passes through a line, making an angle of 29 degrees with the line. Let us represent this situation as follows

The angle R represents the angle opposite to the angle of 29 degrees. Since the ray and the line form a straight line, their angles add up to 180 degrees. Therefore, we can write

angle R + 29 degrees = 180 degrees

To solve for angle R, we can subtract 29 degrees from both sides of the equation

angle R = 180 degrees - 29 degrees

Simplifying the expression, we get

angle R = 151 degrees

Therefore, the value of angle R is 151 degrees.

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You can carve out 150 cubes of side 0.1 m from the given block of wood.

To determine the number of cubes, we need to calculate the volume of the block and the volume of each cube.

The volume of the block is given by:

Volume = length × width × height

Volume = 75 cm × 50 cm × 40 cm

Converting the measurements to meters:

Volume = (75 cm / 100) m × (50 cm / 100) m × (40 cm / 100) m

Volume = 0.75 m × 0.5 m × 0.4 m

Volume = 0.15 m³

The volume of each cube is given by:

Volume of each cube = side³

Volume of each cube = (0.1 m)³

Volume of each cube = 0.001 m³

To find the number of cubes that can be carved out of the block, we divide the volume of the block by the volume of each cube:

Number of cubes = Volume of block / Volume of each cube

Number of cubes = 0.15 m³ / 0.001 m³

Number of cubes = 150

Therefore, you can carve out 150 cubes of side 0.1 m from the given block of wood.

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Answer:

Step-by-step explanation:

-0.5

Step-by-step explanation:

If x is 1, plug it into the equation.

So, y=-3(1) + 2.5

-3(1) = -3

now add.

-3+2.5 = -0.5

so that should give you y = -0.5

y=x

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Answer:

Y=x

Step-by-step explanation:

it's a straight line passing by the center (0,0) at 45°

You can tell because Y is equal to X for every value of X and the points you posted fall in this case.