x^3 = -216/343
Round to the nearest tenth. Put the negative sign in the numerator.

Answer:

it would be 748 feet, sorry if im worng!

Answer:

y = 8

Step-by-step explanation:

Plug in the point and slope into the equation y = mx + b to solve for b:

8 = 0(4) + b

8 = b

Then, plug this back into the equation:

y = 0x + 8

y = 8 will be the equation

Answer: y=8

Step-by-step explanation:

concept to know: when it is a horizontal line, the slope is zero, when it is a vertical line, the slope is undefined.

---------------------

If it is required to have a slope of 0, then it is a horizontal line.

y=b (this is the equation for some line that slope is 0)

We then should find the b, or the y-intercept

The question did not provide us with a point of y-intercept, BUT since it is a horizontal line, the y value of any point is the same, including y-intercept (when x value is 0)

Therefore, the y-intercept will be (0, 8), and the equation will be

y=8

As the y-intercept increases, the graph of the line shifts up;

As the y-intercept decreases, the graph of the line shifts down

There are two perspectives on this issue. The graphical technique would be the first method.

If we merely alter the y-intercept, the slope remains unchanged;

The vertical axis is the y-axis;

A higher or lower y-intercept can be obtained by shifting the line's point of intersection with the y-axis, respectively.

Now, using algebraic reasoning, a line has the general form of the following equation:

When x = 0, the y-intercept is essentially computed as follows:

y = b:

The graph shifts up or down depending on how much we change the b value, which also affects how much the y value changes.

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Answer:

32

Step-by-step explanation:

ik

Answer:

L=22

Step-by-step explanation:

158+l=180

180-158=22

l=22

Answer:

y = -5/7x - 2

Step-by-step explanation:

The slope intercept form is y = mx + b

5x + 7y = -14

Subtract 5x both sides

7y = -5x - 14

Divided by 7 both sides

y = -5/7x - 2

So, the answer is y = -5/7x - 2

Answer:

ldldlldldlsñspleleldldkkfkdosos

Answer:

Step-by-step explanation:

a.) The population is years measured after 2000 so 2000 is 0. Any number to the 0 power is 1 so the population is 23.1 (million).

28.3 = \(23.1e^{0.0152t}\)

1.22510823 ≈ \(e^{0.0152t}\)

ln 1.22510823 ≈ 0.0152t

t≈13.4 million

Answer:

1 dollar

Step-by-step explanation:

1 dollar is one tenth of a dollar ie 10%

Answer:

the answer is $1.

Step-by-step explanation:

- convert 10% into decimal form, which is 0.10

- then multiply 0.10 to 10

- that would equal to 0.10x10=1

Answer:

y = mx + b

y = 1/3x + b

Use (2,4) to find b

4 = 1/3(2) + b

b = 4 - 2/3

b = 12 - 2

3

b = 10/3

The equation will be:

The equation will be: y = 1/3x + 10/3

Answer:

Step-by-step explanation:

Answer:

b, or 1b

Step-by-step explanation:

First of all, you have to combine like terms. In this situation though, they are all b. So start at the beginning. 8-9 is -1. -1 - 5 is -6. -6+7 is 1. So you say, b, because it is the same thing as 1 b.

The unit vector that has the same direction as -5i + 9j is (-5/106)i + (9/106)j.

To find a unit vector with the same direction as a given vector, we need to:

To find a unit vector with the same direction as -5i + 9j, we need to divide this vector by its magnitude:

For the vector -5i + 9j, the magnitude is:

\(| -5i + 9j | = sqrt((-5)^2 + 9^2) = sqrt(106)\)

To find a unit vector in the same direction, we divide the vector by its magnitude:

\((-5i + 9j) / | -5i + 9j | = (-5/106)i + (9/106)j\)

So, the unit vector that has the same direction as -5i + 9j is (-5/106)i + (9/106)j.

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Answer:

For me either skeppy or dream...probably skeppy

Step-by-step explanation:

The probability that the first three questions have the same answer choice is 1/4, since there are four answer choices and the instructor is randomly selecting the answers according to a discrete uniform distribution. This means that each answer choice has an equal probability of being chosen. Therefore, the probability of all three questions having the same answer is 1/4.

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At the equilibrium price, the price elasticity of demand (PED) is approximately 13.845 and the price elasticity of supply (PES) is approximately 0.834.

To find the elasticities at the equilibrium price, we first need to determine the equilibrium price itself. This occurs when the quantity demanded (Od) equals the quantity supplied (Os).

Setting Od equal to Os, we have:

25 - 3P + 0.2P^2 = -5 + 3P - 0.01P^2

Simplifying the equation, we get:

0.21P^2 - 6P + 30 = 0

Solving this quadratic equation, we find that the equilibrium price is P = 28.57.

Now, let's calculate the elasticities at the equilibrium price.

Price Elasticity of Demand (PED):

PED = (% change in quantity demanded) / (% change in price)

At the equilibrium price, PED can be calculated as the derivative of Od with respect to P, multiplied by P divided by Od.

PED = (dOd/dP) * (P/Od)

Taking the derivative of Od with respect to P, we have:

dOd/dP = -3 + 0.4P

Substituting the equilibrium price (P = 28.57) into the equation, we get:

dOd/dP = -3 + 0.4(28.57) = 6.228

Now, let's calculate Od at the equilibrium price:

Od = 25 - 3(28.57) + 0.2(28.57^2) = 12.857

Substituting the values into the PED formula, we get:

PED = (6.228) * (28.57/12.857) = 13.845

Price Elasticity of Supply (PES):

PES = (% change in quantity supplied) / (% change in price)

At the equilibrium price, PES can be calculated as the derivative of Os with respect to P, multiplied by P divided by Os.

PES = (dOs/dP) * (P/Os)

Taking the derivative of Os with respect to P, we have:

dOs/dP = 3 - 0.02P

Substituting the equilibrium price (P = 28.57) into the equation, we get:

dOs/dP = 3 - 0.02(28.57) = 2.286

Now, let's calculate Os at the equilibrium price:

Os = -5 + 3(28.57) - 0.01(28.57^2) = 78.57

Substituting the values into the PES formula, we get:

PES = (2.286) * (28.57/78.57) = 0.834

Therefore, at the equilibrium price, the price elasticity of demand (PED) is approximately 13.845 and the price elasticity of supply (PES) is approximately 0.834.

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Answer:

40 + x = 3x - 10

50 = 2x

x = 25

Answer:

DEW

Step-by-step explanation:

Answer:

Carmen needs more than 5 hours to meet her goal.

Step-by-step explanation:

to make a valid interpretation of Carmen's situation, solve the given inequality for t.

Carmen could reach 350 total miles at 5 hours if she drives at a constant rate of 65 miles per hour. To reach over 350 miles, Carmen will need to drive for more than 5 hours.

So, Carmen needs more than 5 hours to meet her goal.

The response of the system to a unit impulse input is given by \(.\)y(t) = -1 + 3e^(-3t) - 3e^(-t) + 2t e^(-t).

Given transfer function is:

G(s) = Y(s) / V(s) = S+6 / s(s + 3)(s + 1)²

a. Zeros and poles of sys.

Zeros are the values of s where the transfer function G(s) is zero. The zeros of the given system can be obtained by equating the numerator to zero,

so

S + 6 = 0

S = -6

Zeros of the system are -6.

Poles are the values of s where the transfer function G(s) is undefined.

The poles of the given system can be obtained by equating the denominator to zero, so

s(s + 3)(s + 1)² = 0

s = 0, -3, -1

Poles of the system are 0, -3, -1.

b. Find partial fraction expansion.

The given transfer function can be expressed in partial fractions as:

S+6 / s(s + 3)(s + 1)²

= A/s + B/(s + 3) + C/(s + 1) + D/(s + 1)²

Where A, B, C, and D are constants.To solve for these constants, we have to multiply both sides by the common denominator of the fractions and equate the coefficients of the terms with the same degree.

On doing so, we get:

S + 6 = A(s + 3)(s + 1)² + B s(s + 1)² + C s(s + 1)² + D s(s + 3)

On substituting s = -3, we get

B = 3

On substituting s = -1, we get

C - D = -5

On substituting s = 0, we get

A = -1

Simplifying the above equation, we get

C = -3 and D = 2

Substituting these values of A, B, C, and D in the partial fraction expansion, we get:

S+6 / s(s + 3)(s + 1)²

= -1/s + 3/(s + 3) - 3/(s + 1) + 2/(s + 1)²

c. Find the response of sys if the input is a unit impulse.

The Laplace transform of a unit impulse is 1.

Hence the response of the system to a unit impulse input can be obtained by evaluating the inverse Laplace transform of the transfer function G(s) multiplied by the Laplace transform of the input, which is 1.

G(s) = -1/s + 3/(s + 3) - 3/(s + 1) + 2/(s + 1)²

The inverse Laplace transform of the above transfer function is

y(t) = -1 + 3e^(-3t) - 3e^(-t) + 2t e^(-t).

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Answer:

4 x X = y

Step-by-step explanation:

x = the amount of weeks

y = the amount you save

4 times the amount of weeks you put $4 in equals the amount of money you saved.

Answer:

1) 78.87%

2) 99.7%

Step-by-step explanation:

The z-score for a normal distribution is given by:

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

1- The given data is:

σ = 4 years

μ = 50 years

For X = 45 and X =55

\(z_1=\frac{45-50}{4}\\z_1=-1.25\\z_2=\frac{55-50}{4}\\z_2=1.25\)

A z-score of -1.25 corresponds to the 10.57th percentile of a normal distribution, while a z-score of 1.25 is equivalent to the 89.44th percentile.

Therefore, the percentage of the alligators are between 45 and 55 years old is:

\(P=89.44-10.57=78.87\%\)

78.87% of alligators.

2- The given data is:

σ = 2 minutes

μ = 17 minutes

For X = 11 and X =23

\(z_1=\frac{11-17}{2}\\z_1=-3\\z_2=\frac{23-17}{2}\\z_2=3\)

A z-score of -3.0 corresponds to the 0.135th percentile of a normal distribution, while a z-score of 3.0 is equivalent to the 99.865th percentile.

Therefore, the percentage of people that should be seen by the doctor between 11 and 23 minutes is:

\(P=99.865-.0135=99.73\%\)

99.7% of people.

Using the normal distribution, it is found that:

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 proportion between 45 and 55 years old is the p-value of Z when X = 55 subtracted by the p-value of Z when X = 45, then:

X = 55:

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

\(Z = \frac{55 - 50}{4}\)

\(Z = 1.25\)

\(Z = 1.25\) has a p-value of 0.8944.

X = 45:

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

\(Z = \frac{55 - 50}{4}\)

\(Z = -1.25\)

\(Z = -1.25\) has a p-value of 0.1057.

0.8944 - 0.10567= 0.7887.

0.7887 = 78.87% of the alligators are between 45 and 55 years old.

For the second question, by the Empirical Rule, 99.7% of people should be seen by the doctor between 11 and 23 minutes for this to be considered a normal distribution.

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The value of angle θ is 315°

Positive and negative angles are determined by the direction in which a ray rotates to form an angle.

If it rotates in a clockwise direction then the angle is negative and if it rotates in an anticlockwise direction then the angle is positive.

As it is shown the direction of the angle is in anticlockwise direction. Therefore the angle will be positive.

The angle in a quadrant is 90° , this means 2 quadrants will be 2 × 90 = 180°

The angle passes through 3 ½ quadrant

= 7/2 × 90

= 7 × 45

= 315°

Therefore the value of θ is 315°

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The change in electrical potential when moving along the x-axis from x = 5.0 m to x = 1.0 m. The result depends on the values of A, B, and C, which are given as 1.5 V/m^(-3), 0.45 V/m^(-2), and -15 V/m^(-1) respectively.

To calculate the change in electrical potential, we need to integrate the electric field along the path of motion. In this case, we are moving along the x-axis, so only the x-component of the electric field is relevant.

The electric potential difference (ΔV) between two points A and B is given by the formula:

ΔV = ∫ E · dl

where E is the electric field and dl is an infinitesimal displacement along the path of motion. Since we are only concerned with the x-component of the electric field, the integral simplifies to:

ΔV = ∫ (Ax^2 + Bz) dx

Integrating with respect to x from x = 5.0 m to x = 1.0 m, we can find the change in electrical potential.

ΔV = ∫ (Ax^2 + Bz) dx = ∫ (1.5x^2 + Bz) dx

Evaluating the integral, we get the change in electrical potential when moving along the x-axis from x = 5.0 m to x = 1.0 m in the given electric field.

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Answer:

17.628 = 17.6

Step-by-step explanation:

At the second concert, there were 217% more people than in the first concert.

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. The sign used to represent percentages is %.

Number of people who attended the second concert compared to the first concert = (949/299) - 1 x 100 = 217%

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The answer is A. The normal distribution in its standardized form has a mean of 0 and a standard deviation of 1. This means that the distribution is centered around 0, and the spread of the data is determined by the standard deviation of 1. This is useful in statistical analysis because it allows us to compare data from different distributions on a standardized scale.

The normal distribution is a continuous probability distribution that is often used in statistical analysis. It is characterized by a bell-shaped curve and is symmetrical around its mean. In its standardized form, the normal distribution has been transformed to have a mean of 0 and a standard deviation of 1. This transformation is achieved by subtracting the mean of the distribution from each data point and dividing by the standard deviation. This standardization allows us to compare data from different normal distributions on a standardized scale.

The normal distribution has many properties that make it useful in statistical analysis. It is often used as a model for many real-world phenomena, such as the distribution of human height, IQ scores, and many others. The normal distribution is also useful because it is well understood and has many mathematical properties that make it easy to work with.

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Answer:

8.5

Step-by-step explanation:

d = √[(-7+1)²+(-1-5)²]

= √[(-6)²+(-6)²]

=√(36+36)

=√72

= 8.5

Answer:

8.5

Step-by-step explanation:

we can plug those coordinates into the distance formula

d =  √(x2 - x1)2 + (y2 - y1)2

d= √((-7)-(-1)^2+((-1)-(5)^2

d = √36+36

d=√72 = 8.48 or 8.5

The sample mean in random samples of size n from a given population can be considered a random variable because it varies from sample to sample. This means that the value of the sample mean will not be the same for every random sample taken from the same population. Therefore, it can be considered a random variable.

A random variable is a variable whose value is determined by chance, or randomness. In the case of the sample mean, its value is determined by the values of the individual data points in the sample. Since these data points can vary from sample to sample, the sample mean can also vary. As a result, it is considered a random variable.

The distribution of the sample mean can also be considered a random variable, since it is also affected by chance. The shape and characteristics of the distribution will depend on the population from which the sample is drawn, as well as the sample size. Therefore, the sample mean and its distribution are both random variables in the context of random sampling.

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The component of a linear programming model that is NOT listed is "Decision variables."

A linear programming model consists of several components that work together to optimize a given objective while considering various constraints. The components of a linear programming model include:

Constraints: These are the limitations or restrictions that define the feasible set of solutions. Constraints restrict the values that decision variables can take.

Objective Function: This function represents the goal or objective of the linear programming problem. It is either minimized or maximized based on specific criteria.

Feasible Region: Also known as the feasible set or feasible solution space, this refers to the collection of all points that satisfy each constraint in the linear programming problem. It represents the set of possible solutions that meet all the given constraints.

However, "Decision variables" is not a component of a linear programming model but rather the unknowns or variables that we want to determine in order to optimize the objective function.

Decision variables are not a component of a linear programming model. The components of a linear programming model include constraints, objective function, and feasible region. The feasible region refers to the collection of all points that satisfy each constraint in the linear programming problem.

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Answer:

2(11n+6)

Step-by-step explanation:

=2n3+16n+12

=2n*3+16n+12

=6n+16n+12

=22n+12

=2(11n+6)

:Hope it helps you

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