According to the logistic growth equation dNdt=rN(K−N)K a. the number of individuals added per unit time is greatest when N is close to zero.
b. the per capita population growth rate increases as N approaches K. c. population growth is zero when N equals K. d. the population grows exponentially when K is small.

The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.

A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.

if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.

We have to determine the decrease in diameter of the bar due to the applied load.

Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.

Length of the bar, L = 10 in

Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²

Stress produced by the applied load,σ = P/A

= 80,000/0.4418

= 181163.5 psi

Young's modulus of elasticity, E = 10,000 ksi

Poisson's ratio, ν = 0.3

The longitudinal strain produced in the bar, ɛ = σ/E

= 181163.5/10,000,000

= 0.01811635

The lateral strain produced in the bar, υ = νɛ

= 0.3 × 0.01811635

= 0.005434905'

The decrease in diameter of the bar due to the applied load, ∆d/d = -υ

= -0.005434905∆d

= -0.005434905d

The final diameter of the bar,

d - ∆d = d + 0.005434905d

= 1.005434905d

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Answer:

Use a computer software program that will pick employees randomly from a list.

Answer:

Use a computer software program that will pick employees randomly from a list

Step-by-step explanation

i took the test :)

This means that the dolphin must ascend more than 15 feet to reach a depth above -35 feet.

What is inequality ?

In mathematics, an inequality is a mathematical statement that compares two values and indicates whether one value is greater than, less than, or equal to the other value. Inequalities are represented using inequality symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).

Let's assume that the dolphin ascends x feet from its initial depth of -50 feet.

The depth of the dolphin after ascending x feet can be calculated as follows:

-50 + x

The inequality that represents the dolphin ascending a certain number of feet to a depth above -35 feet is:

-35 < -50 + x

Simplifying this inequality, we get:

-35 + 50 < x

15 < x

So the inequality that represents the dolphin ascending a certain number of feet to a depth above -35 feet is:

x > 15

Therefore, This means that the dolphin must ascend more than 15 feet to reach a depth above -35 feet.

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The total dollar change in labor expense from this 15% increase in productivity is [calculated value]. The percent change in labor expense is [calculated value].

Part I: Effective cost per hour per employee

To calculate the effective cost per hour per employee, we need to consider various factors such as base wage, fringe benefits, paid time off, and the number of working hours per year.

Base hourly wage: $12.30 per hour

Number of working hours per day: 8 (1 shift)

Number of holidays: 5

Number of vacation days: 7

First, let's calculate the total fringe benefits per hour:

Fringe benefits = 37% of base wage = 0.37 * $12.30 = $4.551

Next, let's calculate the paid time off per hour:

Paid time off = (Number of holidays + Number of vacation days) * 8 hours = (5 + 7) * 8 = 96 hours

Now, let's calculate the effective cost per hour per employee:

Effective cost per hour = Base hourly wage + Fringe benefits + (Paid time off * Base hourly wage)

Effective cost per hour = $12.30 + $4.551 + (96 * $12.30)

Part II: Reduction in labor cost

To calculate the reduction in labor cost due to a 15% increase in productivity, we need to consider the total number of working hours needed and the change in productivity.

Number of working hours needed every year: 306,050

Productivity increase from 70% to 85%: 85% - 70% = 15%

First, let's calculate the initial number of workers needed:

Initial number of workers = Number of working hours needed / (Productivity rate / 100)

Initial number of workers = 306,050 / (70 / 100)

Next, let's calculate the new number of workers needed after the productivity increase:

New number of workers = Number of working hours needed / (New productivity rate / 100)

New number of workers = 306,050 / (85 / 100)

Finally, let's calculate the total dollar change in labor expense:

Total dollar change in labor expense = (Initial number of workers - New number of workers) * Effective cost per hour * Number of working hours per year

To calculate the percent change in labor expense, we can use the following formula:

Percent change in labor expense = (Total dollar change in labor expense / Initial labor expense) * 100

Please provide the values for Effective cost per hour and Initial labor expense to calculate the final answers in Part I and Part II.

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C. Multiplication property

Properties of equality and congruence are properties that show how equations or shapes can be changed but remain equal.

Properties of Equality

Since this question deals with an equation, not a shape, the properties of equality will be used. The most common properties of equality include:

The important thing to note is that whatever is done to one side, must be done to both. No matter what operation it is, if you change the equation you must change both sides equally.

Solving for X

To find the correct property, we need to solve for x. Do this by isolating the variable.

First, let's rewrite the equation.

Now, we need to find a way to isolate the variable. To isolate x, we need to get rid of the denominator, 5. Do this by multiplying both sides by 5. This will cancel out the denominator on the left side. Remember to multiply on both sides.

Then, simplify the equation

To solve this equation, we multiplied both sides by the same number. This matches the definition of the multiplication property of equality, so that must be the correct answer.

Answer:

D. y = 1/2x - 7

Step-by-step explanation:

y = 1/2x + b

-5 = 1/2(4) + b

-5 = 2 + b

-7 = b

Answer:

\(\frac{5}{14}\) \(or\) \(0.357142857143\)

Step-by-step explanation:

__________________________________________________________

\(\frac{2}{7}\div\frac{4}{5}\) = \(\frac{5}{14}\) \(because\),

\(\frac{2}{7}\) = \(0.285714285714\)

\(\frac{4}{5}\) = \(0.8\)

\(0.285714285714\) \(\div\) \(0.8\) = \(0.357142857143\)

\(\frac{5}{14}\) = \(0.357142857143\)

__________________________________________________________

Hope this helps! <3

__________________________________________________________

Answer:

it is A

Step-by-step explanation:

Multiply them then divide them by 2

The correct option is A. It can be solved by the concept of ratio and proportion.

What is ratio?

It is the way of representation of a quantity relative to the other quantity. Its symbol is :. For example size of 2 relative to 5 is represented by 2:5 or 2/5.

Total number of applicantas = 9

Accepted applicants             = 2

Not accepted applicants      = 9-2 = 7

Take the ratio of accepted to the not accepted applicants = 2/7

Now, if new not accepted applicants are x then accepted applicants are 360. To keep the ratio constant, the following equation must be satisfied:

\(\frac{2}{7}=\frac{360}{x}\\x=\frac{7}{2}\times 360\\x=1260\)

Hence, the correct option is A. It can be solved by the concept of ratio and proportion.

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The characteristic of "Mailing Address" would be considered a qualitative variable.

A qualitative variable is a type of variable that is used to assign information that can't be measured by numbers. Qualitative data is used to label the attributes of the individuals, objects, or other items in the study.Types of Qualitative DataThere are many types of qualitative data, for instance:Nominal Data is data that can't be ranked and the measurements have no specific order or sequence.Ordinal Data is data that can be ranked and that has a definite order or sequence.Below are the options given and among them which is qualitative.Size in Square FeetMailing AddressNumber of BathroomsEstimated Market ValueAmong the given options, Mailing Address is considered a qualitative variable. Therefore, the answer is "Mailing Address".

Quantitative data are generally numerical and can be counted or measured, while qualitative data are descriptive and non-numerical. Qualitative data provide a descriptive view of the information that can be used to form ideas or summarize patterns. Qualitative data are frequently used in qualitative studies, but they can also be used in quantitative studies. However, the characteristics of a house that are qualitative variables can be any type of descriptive data that cannot be measured with a numerical value.Mailing Address is a qualitative variable. Because it is a type of data that cannot be counted or measured, it is a qualitative data type. Qualitative data are often used to describe something or to provide more information than can be given by numbers alone. Therefore, the characteristic of "Mailing Address" would be considered a qualitative variable.

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Answer:

answer of your questions is: -2is not equal to 0. so may be this is distributive property

In the given scenario, the independent variable is the distance (0.5 miles, 1 mile, or 1.5 miles) that participants are instructed to walk every day to observe whether it reduces joint stiffness in people suffering from arthritis of the knee is the correct answer.

The independent variable is the variable that is manipulated or changed by the experimenter to observe its effects on the dependent variable. In the given study, the independent variable is walking, specifically, the distance walked by the participants. The dependent variable, on the other hand, is joint stiffness. It is the variable that is being observed and measured in response to the independent variable. The experiment's design suggests that the researcher is interested in measuring the effect of different walking distances on joint stiffness. By controlling the independent variable, the researcher can observe how changes in this variable affect the dependent variable's outcomes.

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Answer:

21

Step-by-step explanation:

Answer:

The size by which the shape is enlarged or reduced is called as its scale factor. It is used when we need to increase the size of a 2D shape, such as circle, triangle, square, rectangle, etc. The scale factor is 2:5, this means that 2 feet at the original is 5 feet in new.

Therefore the new base is 18 x 5/2 = 45 feet

The new height  = 7 x 5/2 = 17.5 feet

The area of a triangle = ½ base x height

There's the area of the old deck = 1/2 × 18 × 7 = 63 square feet the area of the new deck = 1/2 × 45 × 17.5 = 393.75 square feet.

The scale factor = 2/5 = 1/2.5

and the ratio of the area 1/6.25 .i.e 63/393.75 This means the area of the new deck is twice or double of the old deck.

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Answer:

20 hours

Step-by-step explanation:

Let x = number of hours

Jordan

Allowance = $10

Pay per hour = $7

Total = 10 + 7x

Alex

Allowance = $20

Pay per hour = $6.50

Total = 20 + 6.50x

Equate total of Jordan and Alex earnings

10 + 7x = 20 + 6.50x

Collect like terms

10 - 20 = 6.50x - 7x

-10 = - 0.5x

Divide both sides by - 0.5

x = -10 / -0.5

= 20

x = 20 hours

Jordan and Alex will both work for 20 hours to have the same amount of money in a week

Answer:MON=99

Step-by-step explanation:

8x-13+7x-17=180

15x=210

x=14

Answer:

Step-by-step explanation:

8x - 13 + 7x - 17 =180

15x - 30 = 180

15x = 210

x = 14

8(14) - 13= 112 - 13 = 99

Answer:

The sum of a and b is a+b.

Step-by-step explanation:

5 divided by the sum of a and b is 5/ (a+b).

The final answer is 5/ (a+b)~

Answer:

The sum of a and b is a+b.

Step-by-step explanation:

5 divided by the sum of a and b is 5/ (a+b).

The final answer is 5/ (a+b)

hope that helps:)

The variance of a distribution of means of samples of more than one is A) smaller than the original population variance.

When considering the distribution of means of samples, the central limit theorem states that as the sample size increases, the sampling distribution approaches a normal distribution regardless of the shape of the population distribution. Additionally, the standard error of the mean decreases as the sample size increases.

The variance of a population is denoted by σ^2.

The variance of the distribution of sample means, also known as the sampling distribution, is denoted by σ^2/N, where N is the sample size.

As the sample size (N) increases, the denominator increases, leading to a smaller value for the variance of the distribution of sample means (σ^2/N). Thus, the variance of the distribution of means of samples is smaller than the original population variance.

The variance of a distribution of means of samples of more than one is smaller than the original population variance. This is due to the central limit theorem and the decrease in standard error as the sample size increases.

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The probability P(A or B) is 3/5 or 0.6. Therefore, the probability of selecting a prime number or an odd number is 3/5 or 0.6.

To calculate the probability P(A or B), we first need to determine the number of outcomes for each event and the total number of outcomes in the experiment.
Event A: Obtaining a prime number.
Prime numbers are numbers greater than 1 that have no divisors other than 1 and themselves. The prime numbers between 0 and 9 are 2, 3, 5, and 7. So, there are 4 prime numbers in this range.
Event B: Obtaining an odd number.
Odd numbers are numbers that cannot be divided evenly by 2. The odd numbers between 0 and 9 are 1, 3, 5, 7, and 9. So, there are 5 odd numbers in this range.
Since 3, 5, and 7 are both prime and odd numbers, we must account for this overlap, so we subtract these three from the total.
Total number of outcomes (digits 0 through 9) = 10
Total outcomes of A or B = (prime numbers) + (odd numbers) - (overlap) = 4 + 5 - 3 = 6
Now, we calculate the probability P(A or B) as the ratio of the total outcomes of A or B to the total number of outcomes in the experiment:
P(A or B) = (Total outcomes of A or B) / (Total number of outcomes) = 6/10 = 3/5
So, the probability P(A or B) is 3/5 or 0.6.

To solve this problem, we need to first identify the prime numbers and odd numbers among the digits 0 through 9:
Prime numbers: 2, 3, 5, 7
Odd numbers: 1, 3, 5, 7, 9
We can see that the numbers 3, 5, and 7 are both prime and odd, so we need to be careful not to count them twice when calculating the probability of events A or B.
To find the probability of event A (obtaining a prime number), we count the number of prime numbers among the digits 0 through 9, which is 4. The probability of selecting a prime number is therefore 4/10 or 2/5.
To find the probability of event B (obtaining an odd number), we count the number of odd numbers among the digits 0 through 9, which is 5. The probability of selecting an odd number is therefore 5/10 or 1/2.
To find the probability of event A or B (obtaining a prime number or an odd number), we need to add the probabilities of the two events and then subtract the probability of selecting both a prime and an odd number (i.e., the probability of selecting 3, 5, or 7):
P(A or B) = P(A) + P(B) - P(A and B)
         = 2/5 + 1/2 - 3/10
         = 4/10 + 5/10 - 3/10
         = 6/10
         = 3/5
Therefore, the probability of selecting a prime number or an odd number is 3/5 or 0.6.

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Answer:

roots are not real

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

Then the nature of the roots can be found using the discriminant

Δ = b² - 4ac

• If b² - 4ac > 0 then roots are real and distinct

• If b² - 4ac = 0 then roots are real and equal

• If b² - 4ac < 0 then roots are not real

Given

9x² - 6x + 2 = 0

with a = 9, b = - 6, c = 2 , then

b² - 4ac = (- 6)² - (4× 9 × 2) = 36 - 72 = - 36

Since b² - 4ac < 0 then the roots are not real

Answer:

im sorry i need the poonts have a good day

Answer:

B, -3

Step-by-step explanation:

-4x+5=17

this equation can be used to determine the number

-4x=12

x=-3

Answer:

\(\huge\boxed{f(x - 2) = x + 6}\)

Step-by-step explanation:

f(x) + n - shift the graph n units up

f(x) - n - shift the graph n units down

f(x + n) - shift the graph n units to the left

f(x - n) - shift the graph n units to the right

===========================================

f(x) = x + 8

shift the graph 2 units to the right

f(x - 2) = (x - 2) + 8 = x - 2 + 8 = x + 6

Answer:

Step-by-step explanation:

m= 1/2

this is answer ..........

hope it helps

pls mark my answer as the brainliest

Answer:

M = 5/6

Step-by-step explanation:

m-m-1/2=1-m-2/3

You combine like terms, in this case, the m-m and 1-2/3.

-1/2 = -m + 1/3

Now you need to isolate the m so you subtract 1/3 from both sides.

-1/3 - 1/2 = -m

Combine like terms again.

-5/6 = -m

But m needs to be positive so you divide both sides by -1.

m = 5/6

This should be the answer!

Answer:

AB=5.4 units

Step-by-step explanation:

We using the theorem of intersecting tangent and secant to solve this.

By this theorem:

\(XY^2=XB \times AX\\9^2=15(15-XB)\\81=225-15XB\\15XB=144\\XB=9.6\\$Therefore:\\AB=AX-XB\\AB=15-9.6\\AB=5.4$ units\)

Answer:

Its 9.6, the other guy got it wrong, he already got it but accidentally added a step. Its 9.6 :)

Step-by-step explanation:

trust me :).

The numbers are:

First number is:

6

Second number is:

3^2 = 9

4^2 = 16

So, Square Root of 15 is really close to 4, but less.

Third Number is:

4.5

Fourth Number is:

3.2

Fifth Number is:

5^2 = 25

6^2 = 36

So, square root of 27 is close to 5, but greater.

Least to Greatest:

Answer:

for example:

r=2 cm

Area=pi r^2

=3.14*(2)^2

=3.14*4

=12.56

hope it helps

Good luck on your assignment