A car park needs 8 square meters for 1
car. How many car spaces would be needed for 60 cars

The approximate value of f(1) using Euler's method with two steps of equal size is 6.636. The range of f for t > 0 is 0 < f(t) < 6.

a. The limiting factor in this logistic differential equation is the carrying capacity, which is 6 in this case. As y approaches 6, the growth rate of y slows down, until it eventually levels off at the carrying capacity.

b. To use Euler's method, we first need to calculate the slope of the solution at t=0. Using the given differential equation, we can find that the slope at t=0 is y(0)/8(6-y(0)) = 8/8(6-8) = -1/6.

Using Euler's method with two steps of equal size, we can approximate f(1) as follows:

f(0.5) = f(0) + (1/2)dy/dx|t=0

= 8 - (1/2)(1/6)*8

= 7.333...

f(1) = f(0.5) + (1/2)dy/dx|t=0.5

= 7.333... - (1/2)(7.333.../8)*(6-7.333...)

= 6.636...

Therefore, the approximate value of f(1) using Euler's method with two steps of equal size is 6.636.

c. The range of f for t > 0 is 0 < f(t) < 6, since the carrying capacity of the logistic equation is 6. As t approaches infinity, f(t) will approach 6, but never exceed it. Additionally, f(t) will never be negative, since it represents a population size. Therefore, the range of f for t > 0 is 0 < f(t) < 6.

Learn more about Euler's method here

https://brainly.com/question/21245378

#SPJ11

The system of inequalities that describes the graph is given as follows:

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

For the lower bound of the inequality, we have that:

Hence:

y ≥ -4/3x + 8

4x/3 + y ≥ 8

4x + 3y ≥ 24.

For the upper bound of the inequality, we have that:

Hence:

y ≤ -5x/8 + 5

5x/8 + y ≤ 5

5x + 8y ≤ 40.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer:

Yes, this function can be defined by linear model.

Step-by-step explanation:

\(\mathrm{Total\:=\:Fixed\:Fee\:+\:Hourly\:Rate\:\times Number\:of\:hours}\)

\(\mathrm{Linear:}\:\:T=\:$25+30h\)

Best Regards!

The value of the additional data point is 36

To find the value of the additional data point, we can use the concept of the sample mean.

Given the data set: 23, 28, 20, 33, 42, 12, 19, 50, 36, 25, 19.

The sample mean of this data set is 26.5.

To find the value of the additional data point, we can use the formula for the sample mean:

(sample mean) = (sum of all data points) / (number of data points)

In this case, we have 11 data points in the original data set. Let's denote the value of the additional data point as x.

Therefore, we can set up the equation:

26.5 = (23 + 28 + 20 + 33 + 42 + 12 + 19 + 50 + 36 + 25 + 19 + x) / 12

Multiplying both sides of the equation by 12 to eliminate the fraction, we have:

318 = 282 + x

Subtracting 282 from both sides of the equation, we find:

x = 318 - 282

x = 36

Know more about sample mean here;

https://brainly.com/question/33323852

#SPJ11

.

The given expression 7x - y = -9 in the slope intercept form can be represented as y = 7x + 9.

The expression given to us is -

7x - y = -9

We have to represent this in the slope intercept form.

The slope intercept form can be represented as -

y = mx + c

where, y = y coordinate of the line

           m = slope of the line

            x = x coordinate of the line

            c = y intercept of the line

Thus, representing the given expression in the slope intercept form, we have

7x - y = -9

=> -y = -7x - 9

=> y = 7x + 9

Thus, the given expression in the slope intercept form can be represented as y = 7x + 9.

To learn more about slope intercept form visit https://brainly.com/question/9682526

#SPJ1

The value of p-hat (the sample proportion) is 0.24, or 24% if total number of skittles in a sample is 300 out of which 72 skittles are purple.

The sample proportion, denoted by p-hat, is the proportion of purple skittles in the sample. We can calculate p-hat by dividing the number of purple skittles by the total number of skittles in the sample

p-hat = number of purple skittles / total number of skittles in sample

In this case, we have

Number of purple skittles = 72

Total number of skittles in sample = 300

Therefore,

p-hat = 72/300 = 0.24

To know more about sample proportion here

https://brainly.com/question/29893420

#SPJ4

Answer:

\(a_n=4n-11\)

Step-by-step explanation:

The common difference is \(d=4\) with the first term being \(a_1=-7\), so we can generate an explicit formula for this arithmetic sequence:

\(a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11\)

Answer:

37

Step-by-step explanation:

Answer:

it 102

Step-by-step explanation:

I hope it works

The value of a is 3.

The value of b is -14.

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The function of the graph is,

y = 2x² + ax + b

The graph intersects the x-axis at the points (-7/2, 0) and (2, 0).

Now,

Since, The graph intersects the x-axis at the points (-7/2, 0) and (2, 0).

Hence, The points must satisfy the graph of the function.

So, Points (-7/2, 0) and (2, 0) are satisfy the function y = 2x² + ax + b.

When point (-7/2, 0) satisfy the function y = 2x² + ax + b

Then,

0 = 2 × (-7/2)² + a × (-7/2) + b

0 = 49/2 - 7a/2 + b

7a/2 - b = 49/2 .... (i)

And, When point (2, 0) satisfy the function y = 2x² + ax + b

Then,

0 = 2 × (2)² + a×2 + b

2a + b = -8    .... (ii)

Add equation (i) and (ii) we get;

7a/2 - b + 2a - b = 49/2 + (-8)

11a/2 = 33/2

11a = 33

a = 3

And, 2a + b = -8

2 × 3 + b = -8

b = -8 - 6

b = -14

Hence, The value of a is 3.

The value of b is -14.

Learn more about the coordinate visit:

https://brainly.com/question/12959377

#SPJ1

Answer:

The given equation is:

(1/3) – ÷ 27 = x

We can simplify it as follows:

(1/3) - (1/27) = x

8/27 = x

So, the value of x is 8/27.

We can substitute this value of x in each equation to see which one gives a true statement.

A. -27 × 3 = -81 ≠ 8/27

B. -27 ÷ 3 = -9 ≠ 8/27

C. -1 ÷ (27 ÷ 3) = -1/9 ≠ 8/27

D. -1 ÷ (27 × 3) = -1/81 ≠ 8/27

Therefore, none of the given equations could be solved to find x.

have a nice day/night po! rate 5stars and give thanks for more!

Using proportions, the number of pounds that will be needed for a single serving is: one and three seventh pounds.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The number of pounds for 3 people is given by:

\(3 \frac{3}{7} = 3 + \frac{3}{7} = \frac{24}{7}\)

Hence, for one person, the number of pounds can be divided by three(multiplied by 1/3), hence:

\(\frac{24}{7} \times \frac{1}{3} = \frac{24}{21}\)

24 divided by 21 has a quotient of 1 and remainder of 3, hence as a mixed number, the amount is:

one and three seventh pounds.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

Step-by-step explanation:

the awnser is cerrot.

Answer:

135 feet.

Step-by-step explanation:

Perimeter = 2 ( L+B )

930 = 2 ( L+330 )

930 = 2L + 660

2L = 930 - 660

2L = 270

Length = 135

Answer:

To get rid of a log on one side of an equation, you can use the inverse operation of taking the logarithm, which is raising the base of the logarithm to the power of both sides of the equation.

Step-by-step explanation:

For example, if you have an equation: log base 2 (x) = 3

You can eliminate the log on the left side by raising 2 to the power of both sides:

2^(log base 2 (x)) = 2^3

Simplifying the left side using the logarithmic identity:

x = 8

So the solution is x = 8, and the logarithm has been eliminated.

Learn more about logarithm here, https://brainly.com/question/25710806

#SPJ11

The specific range depends on the material properties and the energy levels involved.

The minimum and maximum frequencies for the acoustic and optic modes depend on the specific system or material under consideration. However, I can provide some general information.

Acoustic Mode:

The acoustic mode refers to the propagation of sound waves or vibrations in a material. In a solid, the acoustic mode can have different types, such as longitudinal and transverse modes.

The minimum frequency for the acoustic mode is typically determined by the size and physical properties of the material. In general, it can be close to zero for macroscopic objects or materials with low elasticity.

The maximum frequency for the acoustic mode depends on factors such as the speed of sound in the material and the characteristic dimensions of the system. It can range from a few kilohertz to several gigahertz.

Optic Mode:

The optic mode is related to the interaction of light with a material. It typically refers to the vibrations of charged particles (such as electrons) in a solid or the oscillations of electric or magnetic fields associated with photons.

The minimum frequency for the optic mode is typically determined by the energy gap between electronic states in the material. For example, in a semiconductor, the minimum frequency is usually in the infrared range.

The maximum frequency for the optic mode is not strictly defined, as it can extend into the terahertz, infrared, visible, ultraviolet, X-ray, and even gamma-ray regions. The specific range depends on the material properties and the energy levels involved.

It's important to note that these frequency ranges are general guidelines and can vary depending on the specific system or material being studied.

To know more about Frequency related question visit:

https://brainly.com/question/32280350

#SPJ11

We have a normally distributed random variable, with mean 23 and standard deviation 9.

a) We have to find the area of the left of 25.

The area to the left of 25 will be P(x<25) = 0.588.

b) We have to find the area to the left of 19:

The area to the left of 19 is P(x<19) = 0.328.

c) Find the area to the right of 23:

The area to the right of 23 is P(x>23) = 0.5.

d) Find the area to the right of 28:

The area to the right of 28 is P(x>28) = 0.289.

The phase of inferential statistics which is sometimes considered to be the most crucial because errors in this phase are the most difficult to correct is "data gathering".

Inferential statistics are frequently employed to compare treatment group differences.

Some characteristics of inferential statistics are-

To know more about the inferential statistics, here

https://brainly.com/question/4774586

#SPJ4

Answer: The correct answer is C.

Step-by-step explanation: Divide 15 and 6. That'll give you 6.5. Therefore, the correct answer is C.

Answer:

The answer is C 2.5

Step-by-step explanation:

Because u have to divide 15 by 6

Answer:

B is correct.

The base is 20 feet, and the height is 8 feet, so the area is 20 × 8 = 160 square feet.

The probability that someone does not believe that it is morally wrong to not report all income on tax returns is = 0.15

For given question,

A research center poll showed that 85 percent of people believe that it is morally wrong to not report all income on tax returns.

so, the probability that someone have this belief is P = 0.85

We know that in probability,

p = 1 - q

where;

p is probability of success

q is probability of failure.

Thus the probability that someone does not have this​ belief would be,

= 1 - P

= 1 - 0.85

= 0.15

Therefore, the probability that someone does not believe that it is morally wrong to not report all income on tax returns is = 0.15

Learn more about the probability here:

https://brainly.com/question/3679442

#SPJ4

Answer:

Let's use "a" to represent the length of the shortest side. The remaining two sides are equal in length and double the length of the shortest side, thus we may represent them as "2a" according to the issue.

Because the perimeter of a triangle is equal to the sum of its sides' lengths, we may solve the following equation:

a + 2a + 2a = 36

We may simplify the left side of the equation as follows:

5a = 36

When we divide both sides by 5, we get:

a = 7.2

Now that we know the length of the shortest side, we can calculate the lengths of the other two sides:

2a = 14.4

As a result, the triangle's sides are 7.2 inches, 14.4 inches, and 14.4 inches.

To ensure that these lengths match the problem's requirements, we may check that the two larger sides are equal in length and twice the length of the shortest side:

14.4 = 2(7.2)

14.4 = 14.4

As a result, x = 7.2 inches and 2x = 14.4 inches is our solution.

The length of the shortest side is 7.2 inches, and the equal sides are each 14.4 inches (2x).The three sides of the triangle are 7.2 inches, 14.4 inches, and 14.4 inches.

Let's use x to represent the length of the shortest side. According to the problem, the other two sides are equal in length and double the shortest side, so they must be 2x each.

To find the perimeter of the triangle, we add up the lengths of all three sides:

x + 2x + 2x = 5x

We know that the perimeter is 36 inches, so we can set up an equation:

5x = 36

To solve for x, we divide both sides by 5:

x = 7.2

Now that we know the length of the shortest side, we can find the lengths of the other two sides:

2x = 2(7.2) = 14.4

So the three sides of the triangle are 7.2 inches, 14.4 inches, and 14.4 inches.

Learn more about length  here:

https://brainly.com/question/9842733

#SPJ11

The expected number of full days hereafter that the machine will remain operational before the next breakdown is still 10 days

We calculated that the expected number of full days until the next breakdown was 10 days. Now, suppose that the machine has already gone 15 full days without a breakdown since the last repair was completed. This means that the machine has already exceeded the expected number of full days until the next breakdown.

However, the fact that the machine has already gone 15 full days without a breakdown does not change the underlying probability distribution of the time until the next breakdown. The distribution is still exponential with a mean of 10 days. Therefore, even though the machine has already exceeded the expected number of full days until the next breakdown, the expected number of full days hereafter that the machine will remain operational before the next breakdown is still the same as before: 10 days.

Learn more about probability distribution here

brainly.com/question/14210034

#SPJ4

hi! im chimken and i have your answers!!!

1. polygon: is a closed figure where the sides are all line segments.

2. lateral face: a side of three-dimensional figure that is not a base.

3. pyramid: a solid figure that has a polygon for a base and triangles for sides. it is named for the shape of its base.

4. polyhedron: formed by two parallel, congruent, polygonal bases connected by lateral faces that are parallelograms.

5. i don't know this one :(

6. a net: a two dimensional representation of a three-dimensional figure that is unfolded along it's edges so that each face of the figure is shown in two dimensions.

7. face: is a plane figure that serves as one side of a solid figure.

8. i don't know this one :(

9. there are 4 possible answers. rectangular prism, sphere, cone, cylinder: 3D geometric shapes with the basic three-dimensional shapes.

10. triangular prism: with a known base and height of its face.

i hope this helped!!!

braise bingus!

The height of the cone in discuss as required to be determined is; 16.38 cm.

Since the height of the cone is three times the length of the diameter of its base;

h = 3d;

d = h/3

Therefore, radius,

r = d/2

r = h/3 ÷ 2

multiply by the reciprocal of 2

r = h/3 × 1/2

r = h / 6.

Volume of a cone, V = (1/3) πr²h

128 = (1/3) × (22/7) × (h³/36)

h³ = 4398.55

h = 16.38 cm.

Ultimately, the height of the cone is; 16.38 cm.

Read more on volume of a cone;

https://brainly.com/question/28109167

#SPJ1

Answer:

I think it is B

Step-by-step explanation:

Angle AMB is not more than 90 and less than 180 degrees, and neither is angle BMC. Therefore, neither angle is obtuse.

In \(\angle\) A, \(\angle\) BMC is an obtuse angle.

In \(\angle\) B, \(\angle\) AMB is an obtuse angle.

In \(\angle\) D, \(\angle\) AMB is an obtuse angle.

But, in C there are two right angles

Therefore, two right angles exist supplementary.

When the sum of the measures of two angles is 180°, such angles are called supplementary angles and each of them is called a supplement of the other.

Two angles exist named supplementary when their measures count up to 180 degrees. By the explanation of obtuse angles, the angles that estimate more significant than 90° exist as obtuse. If we add two obtuse angles, the sum will be more significant than 180°. It will not help the results of the supplementary angles when we add obtuse angles.

In \(\angle\) A, \(\angle\) BMC is an obtuse angle.

In \(\angle\) B, \(\angle\) AMB is an obtuse angle.

In \(\angle\) D, \(\angle\) AMB is an obtuse angle.

But, in C there are two right angles

The two right angles exist supplementary.

Therefore, the correct answer is option B.

To learn more about supplementary angles refer to:

https://brainly.com/question/1553934

#SPJ2

Answer:B

Step-by-step explanation:

I’m not sure why

The probability of rolling a sum of 7 is 6/36, which simplifies to 1/6 or approximately 0.167 when rounded to three decimal places.

To find the probability of rolling a sum of 7 on a pair of six-sided dice, we need to determine the number of favorable outcomes (combinations that result in a sum of 7) and divide it by the total number of possible outcomes. There are 6 possible outcomes for rolling the first die (numbers 1 to 6), and for each of these outcomes, there is only one corresponding outcome on the second die that would result in a sum of 7 (e.g., rolling a 3 on the first die and a 4 on the second die).

Therefore, there are 6 favorable outcomes. The total number of possible outcomes when rolling two dice is given by 6 multiplied by 6, which equals 36. Therefore, the probability of rolling a sum of 7 is 6/36, which simplifies to 1/6 or approximately 0.167 when rounded to three decimal places.

To learn more about   probability click here: brainly.com/question/31828911

#SPJ11