A bee flies at 15 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 16 ​minutes, and then flies directly back to the hive at 12 feet per second. It is away from the hive for a total of 18 minutes. Whats the distance?

Air needed to inflate three beach balls of diameter 1.5 feet is 3. cubic feet.

Air needed to inflate three beach balls by calculating volume of each beach ball .

Volume of each beach ball  = 4/3πr³

Diameter of beach ball = 1.5 feet

Radius of beach ball = Diameter of beach ball/2

Radius of beach ball = 1.5/2

Radius of beach ball = 0.75 feet

Volume of each beach ball  = 4/3 × 3.14 ×(0.75)³

Volume of each beach ball  = 4/3 × 3.14 × 0.42

Volume of each beach ball  = 4/3 ×1.32

Volume of each beach ball  = 1.77 cubic feet

Volume of three ball = 3 × 1.77

Volume of three ball = 5.3 cubic feet

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To find the solution of the compound inequality x − 2 > 4 or 5x ≥ 35, we need to solve each inequality separately and then combine their solutions using the OR operator.

Solving x − 2 > 4, we add 2 to both sides to get x > 6.
Solving 5x ≥ 35, we divide both sides by 5 to get x ≥ 7.

The solution of the compound inequality x − 2 > 4 or 5x ≥ 35 is the set of all values of x that satisfy at least one of the inequalities, which is x > 6 or x ≥ 7.

To graph this solution, we draw a number line and mark the points 6 and 7 with open circles (because they are not included in the solution). Then we shade the region to the right of 6 and/or to the right of 7, as shown below:

<---o---o=========>
6   7

The open circles indicate that 6 and 7 are not included in the solution, because x can be any value greater than 6 or any value greater than or equal to 7, but not both at the same time.

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the problem is x > 6 or x ≥ 7. To explain this solution, we need to solve each inequality separately and then combine the results.

First, we solve x − 2 > 4 by adding 2 to both sides to get x > 6.

Next, we solve 5x ≥ 35 by dividing both sides by 5 to get x ≥ 7.

To combine the results, we take the union of the two solutions, which gives us x > 6 or x ≥ 7. This means that any value of x that is greater than 6 or equal to 7 will satisfy the original compound inequality.

The graph that represents this solution is a number line with an open circle at 6 and a closed circle at 7, shading everything to the right of 6 and including 7.

the solution to the compound inequality x − 2 > 4 or 5x ≥ 35 is x > 6 or x ≥ 7, and the graph that represents it is a number line with an open circle at 6 and a closed circle at 7, shading everything to the right of 6 and including 7.

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Answer:

is it written like this?

if so then the coefficient of y is 1

Answer:

¼

Step-by-step explanation:

A coefficient is the number that comes before a variable, including its sign (plus/minus). Thus, the coefficient of y is the number that comes before the variable y.

\( \frac{y}{4} \) can also be written as \( \frac{1}{4} y\). Since the sign before ¼ is a plus sign, the coefficient of y can simply be written as ¼.

The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model. The model assumes that the value of a stock is equal to the present value of all its expected future dividends.

First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17

Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40

Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65

Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92

Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.

The present value of the dividends can be calculated as follows:

PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n)

where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value:

PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)

PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5

PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59

PV ≈ $16.22

Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model.
The model assumes that the value of a stock is equal to the present value of all its expected future dividends. First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n) where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value: PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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The most sensible average to use in this case would be the mode, which is the value that appears most frequently in the data set. In this case, the mode is 2, which appears 9 times in the data set. This means that the most common number of children in a family in the class is 2.

In this case, the most sensible average to use would be the mode, which is the number that appears most frequently in the data set. This is because the mode represents the most common number of children in the families of the children in the class, which is likely to be a more accurate representation of the typical family size in the class than the mean or median.

To find the mode, we first need to count how many times each number appears in the data set. In this case, the numbers 1, 2, 3, and 4 appear in the data set as follows:

1: 7 times

2: 11 times

3: 3 times

4: 1 time

We can see that the number 2 appears most frequently, with a count of 11. Therefore, the mode in this case is 2, and this is the most sensible average to use in this situation.

The calculated value of the surface area of the cube is 294 mm^2

From the question, we have the following parameters that can be used in our computation:

The cube

The side length of the cube is

Length = 7 mm

The surface area of the cube is calculated as

Surface area = 6 * Length^2

Substitute the known values in the above equation, so, we have the following representation

Surface area = 6 * 7^2

Evaluate

Surface area = 294 mm^2

Hence the surface area is 294 mm^2

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Answer:

sorry I dont know

Step-by-step explanation:

Answer:

Step-by-step explanation:

5$

Answer:

1. x

2. 8-2x

3. width times 8-2x times x

4. Don't understand.

5. I don't know?

6. The volume is (6 - (2x))(8 - (2x))(x).

Step-by-step explanation:

Answer:

The answer is 1/3.

The interaction plot consistent with the combination of main effects and interactions described is Plot D, which shows an interaction between squirrels and location.

An interaction occurs when the effect of one independent variable (in this case, squirrels) on the dependent variable (cone sizes) depends on the level of another independent variable (location).

Based on the given information, we have the following main effects and interactions:

1. Main effect of location: This means that the location (island vs. mainland) has an independent effect on cone sizes. It suggests that there is a difference in cone sizes between the two locations.

2. Main effect of squirrels: This means that the presence or absence of squirrels has an independent effect on cone sizes. It suggests that the presence of squirrels may influence cone sizes.

3. Interaction between squirrels and location: This means that the effect of squirrels on cone sizes depends on the location. In other words, the presence or absence of squirrels may have a different impact on cone sizes depending on whether the trees are on an island or the mainland.

Among the given interaction plots, Plot D is consistent with these main effects and interactions. It shows that the effect of squirrels on cone sizes differs between the island and mainland locations, indicating an interaction between squirrels and location.

Therefore, Plot D is the interaction plot that aligns with the combination of main effects and interactions described in the question.

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Answer:

B

Step-by-step explanation:

-3/7 (21x + 7) = -7x + 11

Let's simplify the left side real quick

Distribute the -3/7

(-3/7)21x + 7(-3/7)

-63x/7 + -21/7

-9x - 3 = -7x + 11

Move like terms to one side

Let's move the variables to the left side by adding both sides by 7x

-9x - 3 = -7x + 11

+7x        +7x

-2x - 3 = 11

Add both sides by 3

-2x - 3 = 11

     +3    +3

-2x = 14

Divide both sides by the coefficient, -2, to isolate the variable, x

-2x/-2 = 14/-2

x = -7

Answer:

c. 3/4

Step-by-step explanation:

(a) The community will use approximately 1.21449 billion units of electricity 5 years from now.

(b) It will take approximately 35 years for the consumption to double.

(a) To calculate the electricity consumption of the community 5 years from now, we need to apply the annual growth rate of 2% to the current consumption of 1.1 billion units.

The formula to calculate the future value with a constant growth rate is:

Future Value = Present Value * (1 + Growth Rate/100)^Number of Years

Let's calculate the future value:

Future Value = 1.1 billion * (1 + 2/100)⁵

Future Value = 1.1 billion * (1.02)⁵

Future Value ≈ 1.1 billion * 1.10408

Future Value ≈ 1.21449 billion

Therefore, the community will use approximately 1.21449 billion units of electricity 5 years from now.

(b) To find the number of years it will take for the consumption to double, we need to determine the time it takes for the initial consumption to increase by 100% or multiply by 2.

Let's set up the equation:

Future Value = Present Value * (1 + Growth Rate/100)^Number of Years

2 * Present Value = Present Value * (1 + 2/100)^Number of Years

Dividing both sides by Present Value:

2 = (1 + 2/100)^Number of Years

Taking the natural logarithm of both sides:

ln(2) = Number of Years * ln(1 + 2/100)

Number of Years = ln(2) / ln(1 + 2/100)

Using a calculator, we can determine the approximate value of Number of Years:

Number of Years ≈ 34.66

Therefore, it will take approximately 34.66 years for the consumption to double. Rounded to the nearest year, it will take about 35 years.

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Answer:  Choice C

(-19/2, -33/2)

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

Explanation:

We'll plug the second equation into the first one

In other words, we'll replace every copy of y with 3x+12 and solve for x

This is an example of the substitution rule.

x-y = 7

x-( y ) = 7

x - (3x+12) = 7

x - 3x - 12 = 7

-2x - 12 = 7

-2x = 7+12

-2x = 19

x = -19/2

Based on this alone, we can see the answer must be choice C. No other answer choice has this x coordinate.

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

If you want to find y based on this x value, then,

y = 3x+12

y = 3(-19/2)+12

y = -57/2 + 12

y = -57/2 + 24/2

y = (-57+24)/2

y = -33/2

This fully confirms choice C is correct.

So we have x = -19/2 and y = -33/2 pair up to get us (-19/2, -33/2)

In decimal form, this would be (-9.5, -16.5)

Answer:

3. (-19/3, -33/2)

You have to make a equation system :

\(\left \{{{x - y = 7} \atop { y = 3x + 12}} \right. <=> \left \{{{y = x - 7} \atop { y = 3x + 12}} <=> x-7 = 3x + 12 <=> 3x -x = -7 - 12 <=>\) \(2x = -19 <=> x = -19/2\)

Replacing x=-19/2 in the first equation (it's the easiest to solve) :

\(y = -19/2 - 7 <=> y =-19/2- 14/2 <=> y = -33/2\)

Answer:  A

Step-by-step explanation:

Benny's Pizza

13.60 + 2.50(3)

13.60 + 7.50

21.10

Ricco's Pizza

14.60 + 2(3)

14.60 + 6

21.60

TCP provides error checking to ensure reliable data delivery, making option A the correct answer. Only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.

TCP (Transmission Control Protocol) provides error checking as part of its services. It ensures reliable data delivery by using acknowledgments and sequence numbers to detect and recover from packet loss, errors, or out-of-order delivery. When a TCP receiver receives data, it sends an acknowledgment (ACK) back to the sender to confirm the successful reception of packets. If the sender does not receive an ACK for a particular packet within a specified timeout period, it assumes the packet was lost or damaged and retransmits it.

TCP provides error checking to ensure reliable data delivery, making option A the correct answer.

The propagation delay is the time it takes for a signal to travel from the source to the destination. It is determined by the physical distance between the devices and the speed of signal propagation in the transmission medium. The propagation delay is an inherent characteristic of the medium and cannot be eliminated by switching devices or other strategies.

The other three options—processing delay, queuing delay, and transmission delay—are all caused by the store-and-forward strategy used by switching devices. Processing delay refers to the time taken to examine and process the packet headers. Queuing delay occurs when packets have to wait in a queue before being transmitted. Transmission delay is the time it takes to push the bits onto the transmission medium.

Among the given options, only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.

3. The correct answer is A. The system is very well-engineered.

In a statistical multiplexing system, the queuing delay is the delay experienced by packets waiting in a queue before being transmitted. If the average queuing delay is very close to zero, it indicates that the system is well-engineered and efficiently managing its resources. A well-designed system can minimize or eliminate queuing delays by appropriately allocating resources and ensuring efficient scheduling algorithms.

Traffic intensity, which represents the ratio of the average traffic load to the transmission capacity, does not directly determine the queuing delay. It is possible to have low queuing delays even with high traffic intensity if the system is well-designed.

When the average queuing delay is close to zero, it suggests that the system is well-engineered and efficiently utilizing its resources, as stated in option A.

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We can find the equation of any line passing through a given point and parallel or perpendicular to a given line by finding the slope of the given line and using slope-intercept form.

Given, the line passing through a given point and parallel and perpendicular to a given line

we have to find the equation of the lines

Let l1 be a line passing through a point (p , q) and parallel to a line l2.

suppose the equation of the line l2 be,

y = mx + c

the line l2 has slope m

Now to find the equation of the line l1,

(y - q)/(x - p) = m

On cross-multiplying, we get

y - q = m(x - p)

y = mx - pm + q

So, the equation of the line l1 be,

y = mx + (q - pm)

Similarly, we can find the equation of any line passing through a point and parallel to a given line.

Hence, we can find the equation of any line with the slope.

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The expression 76a²b³ / 19ab is equivalent to the expression 4ab².

The equivalent is the expressions that are in different forms but are equal to the same value.

The expression is given below.

⇒ 76a²b³ / 19ab

Then the expression can be written as

⇒ 4ab²

Then the expression 76a²b³ / 19ab is equivalent to the expression 4ab².

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Answer:

50 cars

Step-by-step explanation:

Let's define p as the number of people and c the number of cars.

We know that p / c = 3/5 or in other words, there are 5 cars every 3 people. If we have 30 people means that p = 30 which implies 30/c = 3/5 which implies c = 5/3 * 30 = 50.

Answer:

Step-by-step explanation:people=30=3/5

30/5=6*3=18

car=30=5/3

30/3=10

10*5=50

so there are 50 cars there

The measure of angle 3 is given as follows:

m < 3 = 55º.

Vertical angles are angles that are opposite by the same vertex on crossing segments, hence they share a common vertex, thus being congruent, meaning that they end up having the same angle measure.

The vertical angles in this problem are listed as follows:

The measure of angle 1 is given as follows:

m < 1 = 55º.

Angle 1 and angle 3 are vertical angles, hence the measure of angle 3 is obtained as follows:

m < 3 = 55º.

As angle 3 is congruent to angle 1.

Angles 2 and 4 are also supplementary to angles 1 and 3, meaning that the sum of their measures is of 180º, hence m<2 = m<4 = 125º.

The diagram is given by the image shown at the end of the answer.

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Answer:

8

Step-by-step explanation:

1+2+3=6

4+5+6=15

15-6=9-1=8

To record the issuance of common stock for cash, you would make the following journal entry:

Debit: Cash $1000

Credit: Common Stock $1000

This journal entry reflects the fact that Carlton received cash in exchange for the issuance of 100 shares of common stock at a price of $10 per share. The debit to cash increases the company's cash balance by the amount received, while the credit to common stock increases the company's equity by the same amount.

Common stock is a type of security that represents ownership in a company and grants the holder certain rights such as voting rights, the ability to receive dividends and the right to receive assets in the event of a liquidation. Common stock typically pays dividends at a lower rate than preferred stock and carries more risk than preferred stock.

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South Florida Water Management

The South Florida Water Management District is a regional governmental agency that manages the water resources in the southern half of the state, covering 16 counties from Orlando to the Florida Keys and serving a population of 9 million residents.

Water management is the control and movement of water resources to minimize damage to life and property and to maximize efficient beneficial use. Good water management of dams and levees reduces the risk of harm due to flooding.

Water management is the activity of planning, developing, distributing and optimum use of water resources under defined water polices and regulations.

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The Cobb-Douglas utility function satisfies the properties of local non-satiation, decreasing marginal utility for both goods, quasi-concavity, and homotheticity.

The Cobb-Douglas utility function u(x1, x2) = xi^(α) * x2^(β), where α and β are both greater than zero, satisfies the following properties:

(a) Local non-satiation:

This property states that at each point of the consumption set, there is always another bundle that is arbitrarily close and strictly preferred. Thus, the function has local non-satiation.

(b) Decreasing marginal utility for both goods 1 and 2: The marginal utility of a good measures the utility obtained by consuming one more unit of it. The marginal utility of x1 can be obtained as:

MU1 = α * xi^(α−1) * x2^(β)

The marginal utility of x2 can be obtained as:

MU2 = β * xi^(α) * x2^(β−1)

Therefore, both marginal utilities are decreasing in x1 and x2, satisfying this property.

(c) Quasi-concavity:

The Cobb-Douglas function is quasi-concave. This means that the upper contour set of any level set of the function is convex. This can be proved by taking the second partial derivative of the function and checking whether it is negative or not.

(d) Homotheticity:

The Cobb-Douglas function is homothetic. This means that its shape is independent of the total level of utility. The proof can be achieved by checking whether the function is homogeneous of degree one or not. This is true, since multiplying the inputs by any positive scalar λ leads to a proportional increase in the output.

In conclusion, the Cobb-Douglas utility function satisfies all four properties - local non-satiation, decreasing marginal utility for both goods 1 and 2, quasi-concavity, and homotheticity.

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Answer:

150 kids

Step-by-step explanation:

If 60 kids is 40% of the total kids, we can add another 60 to get 80% and then half of 60 (30) to bring the total up to 100% of the kids.

The surface area of that part of the plane 10x+7y+z=4 inside the elliptic cylinder x^2/25+y^2/9=1 is equal to πab, where a=5 and b=3. Therefore, the surface area is equal to 45π.

Total area on a three-dimensional shape's surface is known as surface area. The surface area of a cuboid with six rectangular faces can be calculated by adding the areas of each face. Alternatively, you can write down the cuboid's length, width, and height and use the formula surface area (SA)=2lw+2lh+2hw.

The general formula for a cube's surface area is as follows: The area of the base plus the area of the cube's vertical surfaces will add up to the cube's total surface area. The cube's total surface area is calculated using the formula 6a2, where an is the side length.

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Answer:

8x+6

Step-by-step explanation:

Because each pizza is $8 you would have to multiply 8 by the amount of pizzas. Then you add the six because you only pay for the delivery charge once.

Recall that the inequality x>b in interval notation is:

Subtracting 3 to the given inequality we get:

Which in interval notation is:

Answer:

\(\dfrac{15}{4} \div\dfrac{5}{8}\)

In order to divide two fractions, you will need to use the KCF method.

Keep

Change

Flip

This means that we will keep the first fraction, change the division to multiplication, and flip the second fraction(reciprocal).

\(\dfrac{15}{4} \times\dfrac{8}{5}\)

Multiply:

\(\dfrac{15}{4} \times\dfrac{8}{5}\)

\(\dfrac{15\times8}{4\times5}\)

\(=\dfrac{120}{20}\)

Simplify:

\(120\div20\)

\(=\fbox{6}\)

Answer: 6

Step-by-step explanation:

1. 15/4 divided by 5/8 = 120/20

15/4 / 5/8 = 15/4 times 8/5 = 15 time 8 over 4 time 5 = 120/20

2. 120/6 = 6