Suppose that a population develops according to the logistic equation dP/dt = 0.2P ? 0.0008P^2 where t is measured in weeks.
What is the carrying capacity?

Answer:

8.5 × 10-2

Step-by-step explanation:

I believe this is it

Answer:

The decimals that are equivalent to 5x10 +2x1/100 is: E. 50.02.

Given :

5 x 10 +2 x 1/100

Now let calculate or determine the decimal that are equivalent to 5 x 10 +2 x 1/100 :

Hence :

Decimal=(5 × 10) + (2 × 1/100)

Decimal=50+2/100

Decimal=50+0.02

Decimal=50.02

Based on the above calculation we can conclude that  5 x 10 +2 x 1 /100 is the same as 50.02 which in turn means that the correct option to the question is option E which is 50.02.

Therefore the decimals that are equivalent to 5x10 +2x1/100 is: E. 50.02.

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The complete question is:

which decimals are equivalent to ( 5 x 10) + (2 x 1/100) select all that apply A. 50.020 B. 50.002. c. 5.02. D. 50.20. E. 50.02

Using Algebraic expression, Twenty-two decreased by a number say n is phrase form of Algebraic expression (22 - n) . So, The correct option is option (D).

Algebraic expression :

An algebraic expression is a mathematical expression containing variables, constants, coefficients, and algebraic operations. For example, 5x - 5y + 5 is an algebraic expression.

There are several kinds of algebraic expressions. A monomial is a unary algebraic expression whose exponent and variables are non-negative integers.

We have given an algebraic expression (22 - n)

where n is an integer, 22 is a constant term, and subtraction is an algebraic operator.

So, the correct phrase for the algebraic expression in ( 22-n ) is 22 minus the number.

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Complete question:

Which phrase correctly represents the algebraic expression for 22-n?

A.) A number decreased by twenty-two

B.) The total of twenty two and a number

C.) The difference of two and a number

D.)Twenty-two decreased by a number

Based on this information, it could be estimated that the average change in a person's income associated with going to school for an additional year is approximately $5000 - $6000 per year.

It is challenging to provide a precise estimate of the average change in a person's income that is related to attending school for an extra year in the absence of any specific data or information. Depending on the study area, educational level, and location, the effect of education on income can differ significantly.

But studies have shown that people with greater levels of education typically earn more than people with lower levels of education. The median weekly earnings for those in 2020 with a bachelor's degree were $1,305, while those with only a high school diploma were $781, according to statistics from the US Bureau of Labour Statistics.

Which of the following is the best estimate of the average change in a person's income that is associated with going to school for an additional year?

The average change in a person's income due to attending school for an extra year is therefore estimated to be between $5000 and $6000 per year based on the information provided. It's crucial to keep in mind that this is only a rough estimate, and the impact could actually change considerably depending on the circumstances.

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Answer:

1/8

Step-by-step explanation:

Answer:

1/8 or option A for edge 2020

Step-by-step explanation:

I got it right in the warm up ^^

Hope this helps!!

Answer:

The slope is 1 1/3.

Step-by-step explanation:

\(m=\frac{y2-y1}{x2-x1} \\m=\frac{-1-(-13)}{3-(-6)}\\m=\frac{12}{9}\\m=\frac{4}{3}\\m=1\frac{1}{3}\)

Answer:

85, 68, 51

Step-by-step explanation:

Average: The sum of all the numbers divided by the number of numbers

If the ratio of the scores is 5 : 4 : 3, let's just set it as 5x : 4x : 3x

Then using the definition of an average, we can write this equation.

(5x + 4x + 3x) / 3 = 68

Multiply both sides by 3.

5x + 4x + 3x = 68 * 3

Simplify.

12x = 204

x = 17

Now, substitute x = 17 into the original scores (5x, 4x, and 3x)

5x = 5 * 17 = 85

4x = 4 * 17 = 68

3x = 3 * 17 = 51

Just in case, let's check this answer. Find the average of the 3 test scores.

(85 + 68 + 51) / 3 =

204 / 3 = 68

Thus, the answers are correct

Answer:

7 inches

Step-by-step explanation:

First, you make an imbalanced equation: 22.75/x=13/4.  Then you cross multiply: 22.75 * 4= 91. Then divide 91/13 = 7.

ANSWER

EXPLANATION

We want to find the union of the two sets given:

The union of the two sets is the combined set of all numbers that are in the two sets.

Therefore, we have that:

That is the answer.

Answer:

n=7, 14

Step-by-step explanation:

-21n + n² = -98

n² - 21n = -98

n² - 21n + 98 = -98 + 98

n² - 21n + 98 = 0

n² - 7n - 14n + 98 = 0

n(n-7) - 14(n-7) = 0

(n-14)(n-7) = 0

n-14=0 ==> n=14

n-7=0 ==> n=7

n=7, 14

Answer:

300

Step-by-step explanation:

3 :  15 :: 60 : x

Product of extremes  = Product of  means

3 * x = 15 * 60

    \(x = \frac{15 * 60}{3}\\\\x = 5*60\\\\x = 300\)

Or Do in this way

\(\frac{3}{15}=\frac{60}{x}\\\\\)

\(\frac{3*20}{15*20}=\frac{60}{x}\)

x = 15* 20 = 300

Answer:

300

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

\(a^{0}\) = 1

Given

\(9^{c}\) × \(9^{-c}\)

= \(9^{(c-c)}\)

= \(9^{0}\)

= 1 → B

Answer:

1.75 inches per hour

Step-by-step explanation:

21/12=1.75

Answer:

Y=2x-17

Step-by-step explanation:

If a line is perpendicular it means their slope is reciprocal to each other.

Y=-1/2X+5 has a slope of -1/2

The function that is perpendicular will have a slope of 2.

Y=2x+b

Plug in(10,3)

2(10)+b=3

b=-17

Y=2x-17

the amount of work required to pump the water over the upper edge of the tank until the height of the water remaining in the tank is 4 meters is 8984201 Joules.

To calculate the amount of work required to pump the water over the upper edge of the tank until the height of the water remaining in the tank is 4 meters, use the equation
Work = Force x Distance.

The force required is the weight of the water that needs to be lifted, which is calculated as follows:
Weight of Water = Volume of Water x Weight Density
Here, the Volume of Water = 1/3πr2h

Weight of Water = (1/3πr2) x (h x Weight Density) = (1/3π(7)2) x ((10 - 4) x 9800) = 1497033.52 N

Distance = Height of Water = 10 - 4 = 6 m
Work = Force x Distance = 1497033.52 x 6 = 8984201.12 Joules

Therefore, the amount of work required to pump the water is 8984201.12 Joules, rounded to the nearest integer is 8984201 Joules.

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The minimum hot-holding temperature for fried shrimp is d. 135 ° F 57 ° C. It is important to maintain this temperature to ensure that the food remains safe for consumption and to prevent the growth of harmful bacteria.

The minimum hot-holding temperature for fried shrimp is 135 °F (57 °C). When food is hot-held, it means it is kept at a specific temperature after cooking to maintain its quality and safety until it is served or consumed. This temperature is important because it helps prevent the growth of harmful bacteria, such as Salmonella and E. coli, that can cause food borne illnesses.

At a hot-holding temperature of 135 °F (57 °C) or higher, the heat inhibits the growth of bacteria, ensuring that the fried shrimp remains safe for consumption. This temperature range is considered a critical control point in food safety practices.

It's worth noting that the temperature of 135 °F (57 °C) is the minimum requirement for hot-holding fried shrimp. However, in practice, it's generally recommended to hold the shrimp at a slightly higher temperature to account for any temperature loss that may occur over time.

Some food establishments may set their hot-holding equipment to maintain a temperature of 140 °F (60 °C) or higher to ensure the safety and quality of the food.

By adhering to proper temperature control guidelines, including maintaining the minimum hot-holding temperature of 135 °F (57 °C), you can help prevent the risk of food borne illnesses and ensure that the fried shrimp remains safe and enjoyable to consume.

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5400

4500 multiplied by 1.2

Answer:

The original price would be $5,625

Step-by-step explanation:

The formula to finding out the original price is -

OP = SP/1 - P

- OP = Original Price

- SP = Sale Price

- P = Percent Discount

Now just put in the respected values and you'll get -

OP = 4500/1 - 0.20

Now solve :D

OP = 4500/1 - 0.20

= 4500/0.8

= 5625

So the original price is $5,625

Hope this helped! :D

Therefore, it would take approximately 10.246 hours for the satellite to fly 82000 miles.

We can use the concept of unit rate to solve this problem.

Given that the satellite flies 73680 miles in 9.21 hours, we can calculate the unit rate of the satellite's speed:

Unit Rate = Distance / Time

= 73680 miles / 9.21 hours

≈ 8004.55 miles/hour

Now, to find out how long it would take for the satellite to fly 82000 miles, we can use the unit rate:

Time = Distance / Unit Rate

= 82000 miles / 8004.55 miles/hour

Calculating this value:

Time ≈ 10.246 hours

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z_1 and z_2 are complex number;

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

To calculate z₁z₂ and z₁/z₂, we need to perform the complex number operations on z₁ and z₂. Let's break down the calculations step by step:

i) To find z₁z₂, we multiply the magnitudes and add the angles:

z₁z₂ = 4cos(cos(π/4) + isin(π/4)) * 2cos(2π/3) + isin(2π/3))

= 8cos((cos(π/4) + 2π/3) + isin((π/4) + 2π/3))

= 8cos(7π/12) + isin(7π/12)

ii) To find z₁/z₂, we divide the magnitudes and subtract the angles:

z₁/z₂ = (4cos(cos(π/4) + isin(π/4))) / (2cos(2π/3) + isin(2π/3))

= (4cos((cos(π/4) - 2π/3) + isin((π/4) - 2π/3))) / 2

= 2cos(π/12) + isin(π/12)

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

Please note that the given calculations are based on the provided complex numbers and their angles.

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As a result of answering the given question, we may state that This equation is the product of two numbers: T0 and -x * y * C.

In mathematics, an equation is a statement stating the equality or two expressions. An equation consists of two sides split by an algebraic equation (=). For illustration, the argument "2x + 3 = 9" argues that the statement "2x + 3" is equal to the value "9". The goal of equation solving is to find the value or values of the variable(s) to make the equation true. Simple or complex equations, regular or nonlinear, and including one or more factors are all possible. For example, the equation "x2 + 2x - 3 = 0" has the variable x raised to the second power. Lines are used in many fields of mathematics, including algebra, calculus, or geometry.

Provided the temperature of the water before adding the ice cubes is known and given by T0 (in degrees Fahrenheit), and Raul added a certain number of ice cubes to the water, we can represent the temperature of the water after adding the ice cubes as:

T = T₀ + ΔT

ΔT = -x * y * C

where C is a constant representing water's heat capacity.

Putting it all together, the temperature of the water after adding the ice cubes can be expressed as:

T = T₀ - x * y * C

This expression is the product of two numbers: T0 and -x * y * C.

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In ANOVA (Analysis of Variance), the total variability in the data is partitioned into two components: True. The within-treatments variance in an ANOVA provides a measure of the variability inside each treatment condition.

In ANOVA (Analysis of Variance), the total variability in the data is partitioned into two components: the between-treatments variability and the within-treatments variability. The between-treatments variability represents the differences among the treatment conditions, while the within-treatments variability measures the variability within each treatment condition.

The within-treatments variance, also known as the error variance or residual variance, quantifies the variation that cannot be attributed to the differences among treatment conditions. It captures the random variability within each treatment group, accounting for the individual differences and random errors present within the groups.

By analyzing the within-treatments variance, we can assess how much variation exists within each treatment condition and evaluate the consistency or homogeneity of the data within each group. It helps determine the extent to which the treatment conditions explain the observed differences and whether any remaining variation is due to random fluctuations or other factors.

Hence, the statement that the within-treatments variance provides a measure of the variability inside each treatment condition is true in the context of ANOVA.

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The reasons behind GDP is an imperfect measure of economic well being are value of goods and services , economic activity, distributional issues, and depletion of natural resources .

GDP (Gross Domestic Product) is an imperfect measure of economic well-being for several reasons.

First,

GDP only measures the monetary value of goods and services produced within a country's borders.

It does not take into account non-market activities such as household work or volunteer work,

This can be significant contributors to well-being but are not included in GDP calculations.

Second,

GDP does not distinguish between desirable and undesirable economic activity.

For example, expenditures on environmental cleanup or healthcare are counted in GDP

Just as much as expenditures on cigarettes or military weapons.

Even though the former are beneficial for society, while the latter are not.

Third,

GDP does not measure distributional issues such as inequality, poverty, or social welfare.

Even if GDP were to increase,

It does not necessarily mean that all citizens have benefited equally from the economic growth.

Fourth,

GDP does not account for the depletion of natural resources or damage to the environment.

While economic growth may be achieved through unsustainable or environmentally destructive practices.

These costs are not reflected in GDP calculations.

Finally,

GDP does not capture the value of intangible factors such as social cohesion, quality of life, or happiness.

If GDP were to include non-market activities such as household work.

It would provide a more accurate measure of overall economic activity.

However, GDP would still be an imperfect measure of economic well-being.

Because it would not account for the distributional issues or environmental factors mentioned earlier.

Additionally, including non-market activities could potentially create new problems.

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Part a

we have the function

R=-0.1x^3+11x62-100x

using a graphing tool

Part b

we have that

The value of x cannot be a negative number

The value of R can be a negative number

therefore

part c

the answer part c is the option A and C

Answer:

Step-by-step explanation:

Hello,

The table is as below

\(\begin{array}{c|c|c|c} &2&1&-2\\4&\boxed{4}&\boxed{4}&\boxed{-8}\\-8&\boxed{-8}&\boxed{-8}&\boxed{16}\\\ 0&\boxed{0}&\boxed{0}&\boxed{0} \end{array}\)

It gives

\(4x^4+(4-8)x^3-(8+8)x^2+16x=4x^4-4x^3-16x^2+16x\)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

The function representing exponential decay are:b) ... exponential decay? . f(x)=0.25(1.5)3x f(x)=(0.85)x f(x)=(1.01)x f(x)=1.8(0.6)x f(x)=(0.95)2x-*. 1 ... e). For the given function and  A) y=0.5(1.2)^x B) y=10(1.1)^x C) y=100(0.9)^x D) y=0.1x².

Step-by-step explanation:

Answer:

D. Absolute value parent function

we can know fro the symbol |x| in the question written f(x)= |3|

a. The strategy profile (U, L) is a Nash equilibrium when x is greater than or equal to 0 and z is less than or equal to 0.

b. The strategy profile (D, R) is a Nash equilibrium when x is less than or equal to 0 and y is greater than or equal to 0.

c. The strategy profile (D, L) is a Nash equilibrium when x is less than or equal to 0 and y is less than or equal to 0.

To determine the Nash equilibria for the given strategies, we need to consider each player's best response to the strategies chosen by the other players.

a. For the strategy profile (U, L) to be a Nash equilibrium, player 1 (P1) should have no incentive to deviate from playing U, and player 2 should have no incentive to deviate from playing L. In this case, if P1 plays U, their payoff is x, and regardless of the value of y, P2's payoff is always x. Thus, P1 has no incentive to deviate as long as x is greater than or equal to 0. Additionally, P2's best response to U is to play L, earning a payoff of z. Therefore, for (U, L) to be a Nash equilibrium, z should be less than or equal to 0.

b. For the strategy profile (D, R) to be a Nash equilibrium, P1 should have no incentive to deviate from playing D, and P2 should have no incentive to deviate from playing R. When P1 plays D, their payoff is 2, and P2's payoff is y. P1 has no incentive to deviate as long as x is less than or equal to 0. P2's best response to D is to play R, earning a payoff of 0. Therefore, for (D, R) to be a Nash equilibrium, y should be greater than or equal to 0.

c. For the strategy profile (D, L) to be a Nash equilibrium, P1 should have no incentive to deviate from playing D, and P2 should have no incentive to deviate from playing L. P1's payoff when playing D is 2, and P2's payoff is y. P1 has no incentive to deviate as long as x is less than or equal to 0. P2's best response to D is to play L, earning a payoff of y. Thus, for (D, L) to be a Nash equilibrium, both x and y should be less than or equal to 0.

In summary, (U, L) is a Nash equilibrium when x is greater than or equal to 0 and z is less than or equal to 0. (D, R) is a Nash equilibrium when x is less than or equal to 0 and y is greater than or equal to 0. (D, L) is a Nash equilibrium when x and y are both less than or equal to 0.

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