A number is divided by four. The result is added to five. This result ismultiplied by three to give 27. What is the number?

A. 16

B. 20

C. 1

D. 3 1/2

Answer:

C

Step-by-step explanation:

Answer:

D. x = 11/c

Step-by-step explanation:

you add 4 to both sides so you can make the x by itself.

we are left with cx = 11

you divide c to both sides

Final Answer: x = 11/c

5 is pushed to the stack.63- : 3 and 6 are pushed to the stack.  (10+5)/(6−3) is the equivalent infix expression.

Given postfix (reverse Polish notation) 105+63−/ is to be converted to its equivalent infix expression which is: (10+5)/(6−3).Explanation:Postfix notation (also known as Reverse Polish notation) is a way of representing expressions in which the operator follows the operands. So, first operand comes first followed by second operand and then operator.So, the given postfix (reverse Polish notation) can be explained as below:105+ : First, 1 and 0 are pushed to the stack. When the operator + is encountered, the top two operands are popped from the stack and added. Therefore, 5 is pushed to the stack.63- : 3 and 6 are pushed to the stack. When the operator - is encountered, the top two operands are popped from the stack and subtracted. Therefore, 3 is pushed to the stack./ : When the operator / is encountered, the top two operands are popped from the stack and divided. Therefore, the final result is 1.Now, let's convert it to the infix notation as below:(10+5)/(6−3)Hence, (10+5)/(6−3) is the equivalent infix expression.

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The answer to the given question is the angular acceleration of the wheel is 0.7742 rad/s².

We can use the formula for rotational dynamics:

τ = Iα

where τ is the torque applied, I is the moment of inertia, and α is the angular acceleration.

Rearranging this equation, we get:

α = τ / I

Plugging in the given values, we have:

α = 48 Nm / 62 kg⋅m²

Simplifying, we get:

α = 0.7742 rad/s²

Rotational dynamics deals with the motion of objects that are rotating around an axis. The key concept in rotational dynamics is torque, which is a measure of how much a force can cause an object to rotate. The moment of inertia is another important quantity in rotational dynamics, and it describes an object's resistance to rotational motion. The moment of inertia depends on the distribution of mass around the axis of rotation. The angular acceleration of a rotating object is directly proportional to the torque applied and inversely proportional to the moment of inertia. Therefore, a greater torque or a smaller moment of inertia will result in a greater angular acceleration. These concepts are used in a variety of applications, from the motion of planets to the operation of engines and turbines.

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Answer:

c = 1/4

-1-1 = -2

-3-5 = -8  

Step-by-step explanation:

She will have 10 apples because there is a 2:3 ratio.

Answer:

10 apples.

Step-by-step explanation:

The equation to determine the length and width of the rug is

28 = w² + 12w

Since, the shape of the rug is rectangle, therefore area of rectangle has been used to obtain the solution.

What is a rectangle?

Rectangle is a flat, two-dimensional shape, having four sides and vertices with opposite sides being equal and parallel. We may easily represent a rectangle in an XY plane by using its length and breadth as the arms of the x and y axes, respectively.

Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.

We are given a rectangular rug with an area of 28 square feet.

Also, the rug is 12 feet longer than it is wide.

So,

Let 'l' be the length of the rug and 'w' be the width of the rug

As given, Length is 12 feet longer than its width

Therefore, l = w + 12

We know Area of rectangle = Length * Width and area is given to be 28 square feet.

So,

⇒28 = (w + 12)w

⇒28 = w² + 12w

Hence, the equation to determine the length and width of the rug is

28 = w² + 12w.

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Question: Tammy has a rectangular rug with an area of 28 square feet. The rug is 12 feet longer than it is wide.

Create an equation to determine the length and the width of the rug.

The distribution that is often used to approximate the sampling distribution of the sample mean is the normal distribution. The central limit theorem states that the distribution of sample means taken from a population with a mean and standard deviation will be normally distributed if the sample size is sufficiently large.

This theorem is very important in statistics since it justifies the use of the normal distribution to approximate the sampling distribution of the sample mean. A sampling distribution refers to a probability distribution that shows the means of all possible samples of a particular size taken from a population. The concept of a sampling distribution is essential since it allows us to make conclusions about a population using the information obtained from a sample. Even though the sampling distribution of the sample mean cannot be known precisely in general, it can be approximated by a normal distribution. The normal distribution is an important probability distribution in statistics since many variables, such as the sample mean, tend to follow a normal distribution. The normal distribution is a continuous probability distribution that is symmetrical and bell-shaped. It is characterized by two parameters, the mean and the standard deviation. The mean of a normal distribution is the center of the distribution, while the standard deviation is a measure of the dispersion of the data around the mean.

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Answer:

f(x) = (1/3)x - 2  

f(x) = (1/3)(3) - 2  

f(x) = 1 - 2  = -1

Step-by-step explanation:

f(x) usually refers to a function not a multiplication of two variables

\(fog(x) = f(g(x)) \\ 6x - 2 = 3(g(x)) - 2 \\ \\ 3g(x) = 6x - 2 + 2 \\ 3g(x) = 6x \\ \\ g(x) = \frac{6x}{3} \\ g(x) = 2x\)

\(gof)^{ - 1} (x) = \frac{1}{g(f(x))} \\ \\ 8 = \frac{1}{2(3x - 2) } \\ \\ 8 = \frac{1}{6x - 4} \\ \\ 8(6x - 4) = 1 \\ \\ 48x - 32 = 1 \\ \\ 48x = 1 + 32 \\ 48x = 33 \\ \\ x = \frac{33}{48} \\ \\ x= 0.6875\)

I hope I helped you^_^

Answer:

24/10

Step-by-step explanation:

From the diagram

Opposite BC = 24cm

Adjacent = AC = 10cm

tan theta = opposite/adjacent

Substitute

tan <A = BC/AC

tan <A = 24/10

Hence the equivalent ratio is 24/10

Answer:

  38.70 miles

Step-by-step explanation:

Each week, Reuben jogs ...

  (2.25 mi)(1 +1 +1 +1 +1 +1.8 +1.8) = (2.25 mi)(8.6)

Then in 2 weeks, he jogs ...

  2(2.25)(8.6) mi = 38.70 mi

Reuben jogs 38.70 miles in 2 full weeks.

ABC is a right angle

ABCD is a parallelogram

Opposite sides of a parallelogram are equal

So

Opposite angles are equal

<B=<D

Hence

∆ABC and ∆CDB are congruent by SAS

Sampling, Experiment, Simulation, Census

1. Sampling: This technique involves selecting a subset of individuals or items from a larger population to gather data. It is commonly used when it is not feasible or practical to collect data from the entire population. Sampling allows researchers to make inferences about the population based on the characteristics of the sample.

2. Experiment: In an experiment, researchers manipulate variables and observe the effects on the outcome of interest. They assign participants or subjects to different groups (e.g., control group and treatment group) and control the conditions to study the cause-and-effect relationships. Experiments are often used to test hypotheses and determine causal relationships between variables.

3. Simulation: Simulation involves creating a model or computer program that imitates real-world processes or systems. By running simulations, researchers can observe and analyze the behavior of the system under different scenarios. Simulations are useful for studying complex systems or situations that are difficult or costly to replicate in real life.

4. Census: A census involves collecting data from the entire population of interest rather than a sample. It aims to gather comprehensive information on all individuals or items within the population. Census data provide a complete picture of the population but can be time-consuming, expensive, and may not be feasible for large populations.

In order to determine which technique was used in a particular study, we would need more specific information about the study design, data collection methods, and objectives. Each technique has its own advantages and is suitable for different research scenarios, depending on factors such as the population size, research questions, available resources, and practical constraints.

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Both of them have to do with adding to the number

Srry Im not a math wizard like most people

Answer: Because the fraction will increase instead of decrease

Step-by-step explanation:

Step-by-step explanation:

y=45 when x=180 that is x is higher than y

4of y will give you 1of x that 45×4= 180

so when x is 80 so y will be 80÷4 that is 20

so y= 20

Answer:

fruit garden

Step-by-step explanation:Its 60 Cents- answer came from Apex

the Nash equilibrium is not necessarily the best or most desirable outcome for the players involved. It simply represents a stable state where no player has an incentive to unilaterally deviate from their chosen strategy.

To determine the Nash equilibria in a game, we need to analyze the strategies of each player and identify the combinations of strategies where no player has an incentive to unilaterally deviate.

Given the options:

1. (P1=Shot, P2=Shot)

2. (P1=No shot, P2=No shot)

3. (P1=Shot, P2=No shot)

4. (P1=No shot, P2=Shot)

Let's analyze each combination:

1. (P1=Shot, P2=Shot):

If both players choose to shoot, they both face the risk of being shot and getting injured. Neither player has an incentive to deviate from this strategy, as changing to "No shot" would expose them to the risk of being shot without being able to retaliate. Therefore, (P1=Shot, P2=Shot) is a Nash equilibrium.

2. (P1=No shot, P2=No shot):

If both players choose not to shoot, they avoid the risk of being injured. Again, neither player has an incentive to unilaterally deviate from this strategy, as changing to "Shot" would expose them to the risk of being injured without gaining any advantage. Therefore, (P1=No shot, P2=No shot) is a Nash equilibrium.

3. (P1=Shot, P2=No shot):

If Player 1 chooses to shoot while Player 2 chooses not to shoot, Player 1 has an advantage and can potentially eliminate Player 2 without being injured. In this scenario, Player 2 may have an incentive to deviate from "No shot" and switch to "Shot" to protect themselves. Therefore, (P1=Shot, P2=No shot) is not a Nash equilibrium.

4. (P1=No shot, P2=Shot):

Similarly, if Player 1 chooses not to shoot while Player 2 chooses to shoot, Player 2 has an advantage and can potentially eliminate Player 1 without being injured. In this scenario, Player 1 may have an incentive to deviate from "No shot" and switch to "Shot" to protect themselves. Therefore, (P1=No shot, P2=Shot) is not a Nash equilibrium.

Based on the analysis, the Nash equilibria in this game are:

- (P1=Shot, P2=Shot)

- (P1=No shot, P2=No shot)

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Answer:

z = 103

x = 20

Step-by-step explanation:

See photo for steps. You got this… don’t give up. I believe you can do this. Comment if u need me to explain more :)

Answer:

20

Step-by-step explanation:

just divide 600 by 30

20. because 600 divided by 30 is 20.

The correct answer is the rate of change is 6 over interval 1 ≤ x ≤ 4 and the rate of change is 6 over interval 2 ≤ x ≤ 4  

Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable. In general, the formula for rate of change is: R = (D2 - D1)/T. where: R = rate of change.

Given that is a table, we need to find the average rate of change for the function,

a = 1, f(a) = 1

b = 2, f(b) = 3

Average rate of change is given by = f(b)-f(a) / b-a

= 3-1 / 2-1

= 2

a = 3, f(a) = 7

b = 4, f(b) = 15

Average rate of change is given by = f(b)-f(a) / b-a

= 15-7 / 4-3

= 8

a = 2, f(a) = 3,

b = 3, f(b) = 7

Average rate of change is given by = f(b)-f(a) / b-a = 4

Hence, the correct answer is the rate of change is 6 over interval 1 ≤ x ≤ 4 and the rate of change is 6 over interval 2 ≤ x ≤ 4  

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Answer:90

Step-by-step explanation:

24 cans in packs of 6, so 24 divided by 6 is 4. Each pack costs $1.80, so $1.80 x 4 =$7.20.

24 cans in packs of 8, so 24 divided by 8 is 3. Each pack costs $2.10, so $2.10 x 3 =$6.30.

How much more did Elis pay than Connor? $7.20 - $6.30= .90 cents.

Ellis paid $.90 cents more than Connor.

Answer:

20 , Hope it Helps

Step-by-step explanation:

have a good day

Answer:

Step-by-step explanation:

An angle is formed where two or more lines meet. It is measured in degrees. And an angle bisector is a straight line that divides an angle into two equal parts.

Given: <XYZ = \(88^{0}\).

Construction: A bisector of <XYZ.

The construction can be seen in the attached diagram.

At year 2, you will have approximately $25,915.13 in your bank account, assuming an initial investment with a 5% interest rate compounded annually. The correct answer is (a).


To find out how much money you will have in your bank account at year 2, we can use the compound interest formula:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (in this case, $30,000)
P = Principal amount (initial investment)
R = Annual interest rate (5% or 0.05)
N = Number of times interest is compounded per year (assumed to be once per year)
T = Number of years (in this case, 3)
Let’s solve for P, the principal amount at year 0:
30,000 = P(1 + 0.05/1)^(1*3)
30,000 = P(1.05)^3
Dividing both sides of the equation by (1.05)^3:
P = 30,000 / (1.05)^3
P ≈ 25,915.13
Therefore, at year 2, you will have approximately $25,915.13 in your bank account.
The correct answer is (a) $25,915.13.

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percentage = 32%

From the question, we have

percentage  = ((2*f(.9))-1)/2

=((2*.816)-1)/2

=0.632/2

= 31.6%

= 32% (approx )

Percentage:

Use the percentage formula to express a number or percentage in terms of 100. % simply indicates one out of one hundred. An expression for a number between 0 and 1 can be made using the percentage formula. It is a number that is represented as a fraction of 100. The sign % is used to denote it and it is mostly used to compare and calculate ratios. The formula for percentage increases is the ratio of the increased value to the original value multiplied by 100. It is described in percentage form. If anything is valued more highly, both its value and proportion will rise.

Complete question:

The percentage of area under the normal curve between the mean and -0.9 standard deviations from the mean is ____%. Round to the nearest integer as needed.

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Answer:

Hamm i think si r or q mm sorry if it's wrong

Step-by-step explanation:

I think the answer would be q

Answer:

-9

Step-by-step explanation:

The correct answer is (a) Cluster sampling is used since the field is divided into subplots, a number of subplots are selected, and every corn plant in the selected subplots is sampled.

In cluster sampling, the population is divided into groups or clusters, and a simple random sample of the clusters is selected. Then, all individuals in the selected clusters are included in the sample. In this case, the field is divided into subplots, and a sample is taken from each subplot. Therefore, the subplots are the clusters, and a sample of corn plants is taken from each selected subplot. This is cluster sampling since a number of subplots are selected, and all corn plants in the selected subplots are sampled.

Stratified sampling involves dividing the population into homogeneous groups or strata and then taking a random sample from each stratum. This is not the case here since the subplots may not be homogeneous in terms of soil type, crop history, etc.

Simple random sampling involves selecting individuals from the population randomly and independently, with each individual having an equal chance of being selected. This is not the case here since the sampling is done at the level of subplots, not individual corn plants.

Convenience sampling involves selecting individuals who are readily available and easy to sample, which is not the case here since the sampling is done from all subplots, not just the ones closest to the barn

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1.5x-0.5 should be the answer