Answer each of the following questions. However, you should show all steps to illustrate the process that you used to get your results.
1). Bill likes to walk his dog on the sidewalk that goes around the edge of the city park. The park is a square and each side has a length of 500 feet. Approximately, how many times does Bill need to walk around the park in order to complete a 5-mile walk?


2). Jamie is doing some baking. He needs exactly 2 cups of sugar for his recipe. When he looks in his utensil drawer, though, he can only find a 1-tablespoon measuring spoon. Jamie knows that that there are 2 tablespoons in 1 ounce and 8 ounces in 1 cup. How many tablespoons of sugar will Jamie need for his recipe?



3). Erin is moving into a new house and has rented a moving truck to haul her belongings from the old house to the new house. During the trip from the old house to the new house, she has to cross a bridge that has a 10-ton weight limit.
She knows that the moving truck has an empty weight of 12600 pounds and she knows that her belongings weigh approximately 6000 pounds. Is it safe for Erin to cross the bridge in the moving truck? Justify your answer.


4). How many liters of a fluid can be contained in a 5-gallon bucket?

Answer:

(4 , 1) ; (7 , 4) ; (11 , 1)

Step-by-step explanation:

Each of these are 3 points away from the original point, ( 7 , 1)

(7 - 3, 1) = (4 , 1)

(7 , 1 + 3) = (7 , 4)

(7 + 3 , 1) = (11 , 1)

~

A ramp-shaped collision is created by a warm front.

When a warm front moves into an area, it brings warm air that rises above the colder air ahead of it. As the warm air rises, it cools and condenses, forming clouds and precipitation. This creates a ramp-like structure where the warm air is lifted over the colder air, leading to a gradual slope of weather systems along the frontal boundary.

The warm air gradually replaces the cold air, resulting in a change in weather conditions.

In contrast, a cold front creates a steeper and more abrupt collision. When a cold front moves into an area, it pushes the warm air ahead of it upwards rapidly. This causes the warm air to cool and condense quickly, resulting in more intense weather conditions such as thunderstorms and heavy rainfall.

In summary, a warm front creates a ramp-shaped collision where warm air rises above colder air, leading to gradual weather changes.

On the other hand, a cold front creates a steeper and more abrupt collision, causing rapid changes in weather conditions.

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Answer:

30000 metres or 30 kilometers (km)

hope this helps

Answer:

30,000 m or 30 km

Step-by-step explanation:

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Answer:

the answer is b, c, e I know I'm a little late

Answer:B, C, D,

Step-by-step explanation: edu 2021

Answer:

w = 8 is NOT a solution because 5 + 8 = 13

Step-by-step explanation:

In the equation 5 + w = 58, we're asked if 8 is a solution to this. To solve this problem, we plug in the value of w.

As you can see, 5 + 8 = 13, not 58.

Thus, the answer is w = 8 is NOT a solution because 5 + 8 = 13.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

The growth rate of the sloth population when the population is made up of 275 individuals is 99 individuals per year.

To calculate the growth rate of the three-toed sloth population when there are 275 individuals, we will use the logistic growth model formula:

Growth rate = r * N * (1 - N/K)

where r is the maximum per capita growth rate (0.8 per year), N is the current population size (275 individuals), and K is the carrying capacity of the forest (500 individuals).

Growth rate = 0.8 * 275 * (1 - 275/500)
Growth rate = 0.8 * 275 * (1 - 0.55)
Growth rate = 0.8 * 275 * 0.45
Growth rate ≈ 99 individuals per year

So, the growth rate of the sloth population when the population is made up of 275 individuals is approximately 99 individuals per year.

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The instantaneous acceleration at any time t is given by 10t. The limit definition of a derivative is true because it allows us to find the instantaneous rate of change of a function at a specific point.

To use the limit definition of a derivative to calculate instantaneous acceleration, we need to find the derivative of the velocity function with respect to time. The derivative of velocity gives us acceleration.

The limit definition of a derivative is given by:

f'(x) = lim (h→0) [f(x+h) - f(x)] / h

To calculate instantaneous acceleration, we substitute the velocity function, v(t), into the limit definition. Let's say v(t) = 5t^2.

Using the limit definition, we have:

a(t) = lim (h→0) [v(t+h) - v(t)] / h

Substituting v(t) = 5t^2, we get:

a(t) = lim (h→0) [5(t+h)^2 - 5t^2] / h

Expanding and simplifying:

a(t) = lim (h→0) [10th + 5h^2] / h

Now, we can cancel out the h term:

a(t) = lim (h→0) 10t + 5h

Taking the limit as h approaches 0, we get:

a(t) = 10t

Therefore, the instantaneous acceleration at any time t is given by 10t.

The limit definition of a derivative is true because it allows us to find the instantaneous rate of change of a function at a specific point. By taking the limit as the change in input approaches zero, we are able to approximate the exact rate of change at that point. This concept is fundamental to calculus and is used in various applications such as physics, engineering, and economics.

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Answer:

its is either 339.3 or 1357.2

Step-by-step explanation:

The volume of the cylinder having radius 6 feet and height 12 feet is  1357.7 cubic feet.

Volume is referred to as the area occupied within an object's three-dimensional space.

Given that,

The radius of cylinder r = 6 feet,

And the height of the cylinder h = 12 feet.

To find the volume of the cylinder, use formula,

Volume of cylinder = π × r² ×h

= (22/7) × 6 × 6 × 12

= (22/7) × 432

= 9504 / 7

= 1357.7 cubic feet.

The required volume of the cylinder is 1357.7 cubic feet.

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Table C has a constant proportionality between y and x of 0.3.

A constant is an expression-unchanging value or number. It always has the same value.

In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one double, and both decrease in size when one drops to a tenth of its original value.

The answer is the same as the one in the y column when you multiply the x number in table C by 0.3. The value that remains constant in the ratio is the proportionality constant. It is evident that table C is accurate because when you multiply each value in the x column by 0.3, the result is always the value in the y column.

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Thus, the total surface area of the given triangular prism is found to be:

A = 232  ft².

A prism is a solid form that is enclosed by plane faces on all of its sides. A prism has two different kinds of faces. Bases refer to the identical top and bottom faces.

The name "prism" refers to the form of these bases. For instance, a prism is referred to be a triangular prism if its base is triangular.

The dimension of the prism is shown:

Perimeter =  sum of bases

P = 7 + 5 +5 = 17

P = 17 ft

Curved surface area = perimeter x height

                               = 17 × 8

                              = 136 ft²

Base area shown triangular prism = 1/2 *h (b1 + b2)

= 1/2 * (5 + 7)

= 48 ft²

Now,

Total surface area of shown triangular prism:

A = P*h + 2* base area

A = 136 + 2*48

A = 232  ft²                            

Thus, the total surface area of the given triangular prism is found to be:

A = 232  ft².

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Complete question:

Find the total surface area of the prism.

7 ft

8 ft

5 ft

5 ft

The picture is attached:

The slope-intercept form a of the equation of a line is:

Where m is the slope and b is the intercept.

For this exercise m = -1 and b = -1

To find the 'y' values of the table you just have to replace the x values into the equation:

And put these pairs into the graph and join them with a line:

If you rolled two dice, recorded the face values and summed them up, you would be collecting quantitative data. This is because quantitative data is numerical in nature and involves counting, measuring or quantifying something.

In this case, the numbers on the faces of the dice would be counted and added together to obtain a total sum. This data can be further classified as discrete since the possible outcomes of rolling dice are limited to a set of discrete values.

Therefore, this data can be easily analyzed using statistical methods to determine the probability of certain outcomes occurring. Collecting quantitative data is essential in many fields such as science, economics, and finance, as it provides valuable insights into the behavior and trends of various phenomena.

In this situation, the face values on the dice represent numbers, and the sum of these values is also a number. The data you collect can be analyzed using statistical methods and can provide meaningful insights.

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Answer:

They are 12, 13, 14 and 15.

Step-by-step explanation:

If the least integer is x, then:

x + x + 1 + x + 2 + x + 3 = 54

4x + 6 = 54

4x = 48

x = 12.

Answer:

Thanks for the free points...

I love school by the way

Answer:

hey

can you give me a brainliest

Step-by-step explanation:

Answer:

A!

Step-by-step explanation:

100 - 4 = 96, which is represented in the first option, A! There are 96 squares!

I hope this helped!!

Answer:

A

Step-by-step explanation:

the box has 100 mini boxes inside of it and all of them are colored in, then we take away 4 that is how many mini boxes are colored in on the second box. 100-4=96 and thats how many mini boxes are colored in on A.

Answer:

it is a rational number

Step-by-step explanation:

Answer:

D. 7/8

Step-by-step explanation:

Answer:

D. 7/8. (has to be twenty characters long so here are some words )

Answer:

The total number of marbles is 3.4*r

Step-by-step explanation:

We have 25% more red than blue, so we can write the equation:

\(red = 1.25*blue\)

We have 60% more green than red, so:

\(green = 1.6*red\)

In total we have 'r' red marbles, so:

\(red = r\)

The total number of marbles in the collection is the sum of all three amount of marbles:

\(total = red + blue + green\)

\(total = red + (red/1.25) + 1.6*red\)

\(total = r + 0.8*r + 1.6*r\)

\(total = 3.4*r\)

The total number of marbles is 3.4*r

Once you have the values for the cohesion (c'), bearing capacity factors (Nc, Nq, Nγ), and unit weight of soil (γ), you can substitute them into the formula to calculate the ultimate bearing capacity (Qb) of the foundation.

To calculate the bearing capacity of the foundation, you can use the following formula:
Qb = c'Nc + γDNq + 0.5γBNγ

Where:
Qb = Ultimate bearing capacity of the foundation
c' = Effective cohesion of the soil
Nc, Nq, and Nγ = Bearing capacity factors
γ = Unit weight of soil
D = Depth of embedment
B = Width of the foundation

In this case, since the soil is assumed to be saturated, the cohesion (c') can be considered as zero. The bearing capacity factors can be determined using empirical charts or formulas based on the angle of friction. The unit weight of soil (γ) can be obtained from soil testing.

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The value is 24 square units is parallel to the face of the right rectangular prism.

We can see that the face of the given rectangular prism shows a width 4 and a height of 6. If we cut the figure at any point along the length 20, such that the cross-section is parallel to the face, the cross-section, which occurs at x length, will always have the same dimensions, which are 4 and 6.

So the area of the cross-section which is parallel to the face of the given rectangular prism is given by:

A = 6 × 4

A = 24

Thus, the value is 24 square units is parallel to the face of the right rectangular prism.

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A = 6 × 4

A = 24

Thus, the value is 24 square units is parallel to the face of the right rectangular prism.

Answer:

She is struggling with addition of double-digit numbers

Step-by-step explanation:

She could benefit from a written explanation of vertical addition

Answer:

6 runners

Step-by-step explanation:

Complete question

A relay race covers 1 1/2 kilometers, and each runner on a team will run 1/4 of a kilometer.  How many runners are needed for a team?

Given that;

1 runner = 1/4 km

If a relay race covers  1 1/2 km, hence;

x runner = 1 1/2 km

Divide both expressions

1/x = (1/4)÷(1 1/2)

1/x = 1/4 ÷ 3/2

1/x = 1/4 * 2/3

1/x = 2/12

Cross multiply

2x = 12

x = 12/2

x = 6

Hence 6 runners are needed for the race

Answer:

120 cm^3

Step-by-step explanation:

1. 9 times 5 =45

2. 45 divided by 3 = 15

3. 15 times 8 = 120

Answer: 3.6

Step-by-step explanation:

Using pythagorean we can determine that a^2+b^2=c^2

In this case the leg and adjacent make a distance of 2 and 3 we can substitute for a and b so

\(2^{2}+3^{2}=c^{2}\)

13=\(c^{2}\)

c= 3.605 rounded is 3.6

(a) The weight of 72 kg in pound is 158.73 lbs.

The kilogram (also kilogramme) is the unit of mass in the International System of Units (SI), having the unit symbol kg.

The pound or pound-mass is a unit of mass used in British imperial and United States customary systems of measurement.

lb is a written abbreviation for pound, when it refers to weight.

Once we have found the value of a single unit, then we can calculate the value of the required units by multiplying the single value unit.

1 kg = 2.20462 lb ≈ 2.2046 lb

Convert from kilograms to pounds by taking the number in kilograms and multiplying it by 2.2046.

To find the weight of 72 kg in lbs we have to multiply 72 with 2.205.

= 72 x 2.2046

= 158.7312 lbs ≈ 158.73 lbs

The result, therefore, is 158.73 lbs.

(b) The weight of 72 kg in stone is 11.34 stone.

The stone or stone weight is an English and imperial unit of mass equal to 14 pounds (6.35 kg).The stone continues in customary use in the United Kingdom for body weight.

1 kg = 0.157473 stone ≈ 0.1575 stone

To find the weight of 72 kg in stone we have to multiply 72 with 0.1575.

= 72 x 0.1575

= 11.34 stone.

The result, therefore, is 11.34 stone.

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Answer:

Hi there!

Here is your answer...

The Area of the Parallelogram is:

The Perimeter of the Parallelogram is:

\(64ft\)

Step-by-step explanation:

To find the Area of a Parallelogram you must first identify the Base and Height. In this instance the Base would be the top and bottom which we know are 17ft in length. The Height would be the dotted line that we know it 12ft tall. The next step would be to Multiply the Base by the Height. That would give us 204. After we add the correct units we have \(204ft^{2}\).

To find the Perimeter we would simply add together all side lengths. We know that the top and bottom are equal to 17ft and the left and right are equal to 15 feet. This gives us 17+17+15+15. Which would equal 64, add the units and it becomes \(64ft\).

Area=base x height

Perimeter = base + base + angle +angle

(angle is the side length.)

Answer:

1.2(2.5)x - 1

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

After calculation, we can conclude that 36 ounces of ginger ale should be included.

To make fruit punch, the recipe calls for 2 parts of orange juice, 3 parts of ginger ale, and 2 parts of cranberry juice.

If 24 ounces of orange juice are used, we can calculate how much ginger ale should be included.

Since the ratio of orange juice to ginger ale is \(2:3\), we can set up a proportion:

2 parts orange juice / 3 parts ginger ale = 24 ounces orange juice / x ounces ginger ale

Cross-multiplying, we get:
\(2x = 3 * 24\\2x = 72\)

Dividing both sides by 2, we find that:
\(x = 36\)

Therefore, 36 ounces of ginger ale should be included.

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To determine how much ginger ale should be included in the fruit punch recipe, we need to calculate the amount of ginger ale relative to the amount of orange juice used. we need 36 ounces of ginger ale to make the fruit punch recipe.

The recipe calls for 2 parts orange juice, 3 parts ginger ale, and 2 parts cranberry juice. This means that for every 2 units of orange juice, we need 3 units of ginger ale.

Given that 24 ounces of orange juice are used, we can set up a proportion to find the amount of ginger ale needed.

Since 2 parts orange juice corresponds to 3 parts ginger ale, we can write the proportion as:

2 parts orange juice / 3 parts ginger ale = 24 ounces orange juice / x ounces ginger ale

Cross multiplying, we have:

2 * x = 3 * 24

2x = 72

Dividing both sides by 2, we find:

x = 36

Therefore, we need 36 ounces of ginger ale to make the fruit punch recipe.

In summary, if 24 ounces of orange juice are used in the recipe, 36 ounces of ginger ale should be included.

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