how big is New York city

Answer:

57.1 %

Step-by-step explanation:

3 blue 4 red

7 in total

red 4/7

4÷7 = 0.5714285714

round up 57.1%

The tool in Excel Analytics that can be used to extract values that meet up to three specified criteria is the "Summarize" tool.

The "Summarize" tool in Excel Analytics allows users to filter and extract data based on specific criteria. It provides a flexible way to specify conditions and extract data that meets those conditions. This tool is particularly useful when dealing with large datasets and you want to extract specific information based on multiple criteria simultaneously.

With the "Summarize" tool, users can define up to three criteria to filter the data and extract the desired values. The tool provides options to specify conditions for each criterion, such as equal to, greater than, less than, or other comparison operators. Once the criteria are set, the tool will extract the values that satisfy all the specified conditions.

By using the "Summarize" tool, users can efficiently extract and analyze data that meets multiple criteria, enabling them to gain insights and make informed decisions based on the extracted information.

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To calculate the discharge through the circular channel, we can use Manning's equation, which relates the flow rate (Q) to the channel properties and flow conditions. Manning's equation is given by:

Q = (1/n) * A * R^(2/3) * S^(1/2)

where:

Q is the discharge (flow rate)

n is Manning's coefficient (0.014 in this case)

A is the cross-sectional area of the channel

R is the hydraulic radius of the channel

S is the slope of the channel bed

First, let's calculate the cross-sectional area (A) of the circular channel. The diameter of the channel is given as 6m, so the radius (r) is half of that, which is 3m. Therefore, the area can be calculated as:

A = π * r^2 = π * (3m)^2 = 9π m^2

Next, let's calculate the hydraulic radius (R) of the channel. For a circular channel, the hydraulic radius is equal to half of the diameter, which is:

R = r = 3m

Now, we can calculate the slope (S) of the channel bed. The given slope is 1 in 600, which means for every 600 units of horizontal distance, there is a 1-unit change in vertical distance. Therefore, the slope can be expressed as:

S = 1/600

Finally, we can substitute these values into Manning's equation to calculate the discharge (Q):

Q = (1/0.014) * (9π m^2) * (3m)^(2/3) * (1/600)^(1/2)

Using a calculator, the discharge can be evaluated to get the final result.

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Answer: reflection over x-axis, 3 units up

Step-by-step explanation:

Strategies such as fast-tracking, crashing, prioritization, and resource optimization can be employed to reduce the project completion time by 5 weeks.


To reduce the completion time of the project by 5 weeks, we need to analyze the provided information and make appropriate adjustments. The initial completion time of the project is 25 weeks.

To achieve a reduction of 5 weeks, we can consider several strategies:

1. Fast-tracking: This involves overlapping or parallelizing certain project activities that were initially planned to be executed sequentially. By identifying tasks that can be performed concurrently, we can potentially save time. However, it's important to evaluate the impact on resource allocation and potential risks associated with fast-tracking.

2. Crashing: This strategy focuses on expediting critical activities by adding more resources or adopting alternative approaches to complete them faster. By compressing the schedule of critical tasks, we can reduce the overall project duration. However, this may come at an additional cost.

3. Prioritization: By reevaluating the project tasks and their priorities, we can allocate resources more efficiently. This ensures that critical activities receive higher attention and are completed earlier, resulting in an accelerated project timeline.

4. Resource optimization: Analyzing the resource allocation and identifying potential areas for optimization can lead to time savings. By ensuring that resources are utilized effectively and efficiently, we can streamline the project execution process.

It's important to note that implementing any of these strategies requires careful evaluation, considering factors such as project constraints, risks, cost implications, and stakeholder agreements. A comprehensive analysis of the project plan, resource availability, and critical path can guide the decision-making process for reducing the project completion time.

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The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

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

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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The given conditions to write an equation for the line passing through (−9,2) and parallel to the line whose equation is y = −3x+ 2.

There are many different methods to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically include one or more variables.

More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.

\($$We have the equation of a parallel line and a point which it passes through. To write the equation of the line in point-slope form, we will use the following formula:y−y1=m(x−x1)We know that the slope of parallel lines are same and we are given the equation for parallel line, y=−3x+2$$\)

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The expression 126 \(m^4\) - 63\(m^3\) is equivalent to the given expression                  7m² * (2m -1 )*(m9).

The properties of multiplication are:

There are different power rules, see some them:

1. Multiplication with the same base: you should repeat the base and  add the exponents.

2. Division with the same base: you should repeat the base and  subctract the exponents.

3.Power. For this rule, you should repeat the base and multiply the exponents.

4. Zero Exponent. When you have an exponent equals to zero, the result must be 1.

Here, you should apply the distributive property and power rules for solving this expression and finding an equivalent expression.

First, you should multiply the factors (2m -1)*(9m). As result, you find 18m²-9m.

After that, you should do the product between the previous result (18m²-9m) and the factor 7m². Thus,

(18m²-9m) * 7m²= 126 \(m^4\) - 63\(m^3\).

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Answer:

fdd

yfddd

Step-by-step explanation:

dded fdd fdd fdd fddc rttyj hreef ggg

Answer:

q is 4

Step-by-step explanation:

\(gradient = \frac{y_{2} - y_{1} }{x _{2} - x _{1} } \\ \)

let gradient of the line joining (4, q) to (6, 5) be x

let gradient of the line joining (0, 0) to (4, q) be y

\(y = 2x\)

therefore:

\(( \frac{q - 0}{4 - 0} ) = 2( \frac{5 - q}{6 - 4} ) \\ \\ \frac{q}{4} = \frac{2(5 - q)}{2} \\ \\ \frac{q}{4} = 5 - q \\ \\ q = 4(5 - q) \\ q = 20 - 4q\)

collect like terms:

\(q + 4q = 20 \\ 5q = 20 \\ q = \frac{20}{5} \\ \\ q = 4\)

Let,

As we know,

then,

→ \(\frac{q-0}{4-0} = 2(\frac{5-q}{6-4} )\)

      \(\frac{q}{4} = \frac{2(5-q)}{2}\)

      \(\frac{q}{4} = 5-q\)

By applying cross-multiplication, we get

      \(q = 4(5-q)\)

      \(q = 20-4q\)

By adding "4q" both sides, we get

\(q+4q= 20-4q+4q\)

     \(5q = 20\)

       \(q = \frac{20}{5}\)

       \(q = 4\)

Thus the above value is correct.

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Answer:

He needs 80 cups.

Step-by-step explanation:

$12/$.15(profit from every cup) =80

Answer:

252p or £2.52

Step-by-step explanation:

If one pencil is 9p, 28 pencils would be 9 × 28 which is 252p or £2.52.

Hope this helps!

Answer:

252p

Step-by-step explanation:

Answer:48

Step-by-step explanation:

Answer:

Area = 12 square units

Step-by-step explanation:

Area = b x h x 1/2

Area = 8 x 3 x 1/2

Area = 24 x 1/2

Area = 12

Hope that helps! :)

Answer:

12 is the area . ihshssisjjss

The equation of the tangent to the curve x=tan(θ) and y=sec(θ) at the point (1,√2) can be found by both eliminating the parameter and without eliminating the parameter.

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The angle of elevation from Boat A to the top of Niagara Falls is 59 degrees, and the angle of elevation from Boat B is 39 degrees.

We can use trigonometry to find the angle of elevation from each boat to the top of the falls. The angle of elevation is the angle between the horizontal and the line of sight to the top of the falls.

Let's start with boat A, which is 100 feet away from the base of the falls. We can draw a right triangle with the height of the falls as one leg, the distance from boat A to the base of the falls as the adjacent leg, and the line of sight to the top of the falls as the hypotenuse. Using the tangent function, we have

tan θ = opposite/adjacent

tan θ = 167/100

θ = tan⁻¹(167/100)

θ ≈ 59°

Therefore, the angle of elevation from boat A to the top of the falls is approximately 59 degrees.

Now let's find the angle of elevation from boat B, which is 150 feet away from the base of the falls. Using the same process as before, we have

tan θ = 167/150

θ = tan⁻¹(167/150)

θ ≈ 48°

Therefore, the angle of elevation from boat B to the top of the falls is approximately 48 degrees.

So the angle of elevation from boat A is about 59 degrees, and the angle of elevation from boat B is about 48 degrees.

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Answer:

D.

Step-by-step explanation:

12x + 7x = 19x

-7 + +9 = 2

Answer:

d

Step-by-step explanation:

The cost of one apple is $0.70.

Let's assume that the cost of one apple is "a" dollars and the cost of one banana is "b" dollars. We can create two equations based on the information given:

4a + 9b = 12.70 ...(1)

8a + 11b = 17.70 ...(2)

To solve for "a", we can use elimination method by multiplying equation (1) by 8 and equation (2) by -4, so that the coefficients of "a" in both equations will be equal and opposite:

32a + 72b = 101.60

-32a - 44b = -70.80

Adding these two equations, we get:

28b = 30.80

Simplifying and solving for "b", we get:

b = 1.10

Now, we can substitute the value of "b" in equation (1) and solve for "a":

4a + 9(1.10) = 12.70

4a + 9.90 = 12.70

4a = 2.80

a = 0.70

Therefore, the cost of one apple is $0.70.

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Answer:

To find 47% of 900, you can multiply 900 by 0.47, which represents 47% as a decimal:

47% = 47/100 = 0.47

So, 47% of 900 is:

0.47 x 900 = 423

Therefore, 47% of 900 is 423.

Convert 47% to a decimal

= 47% = 47/100 = 0.47

47%= 0.47 × 900

=423

Answer:

is. there. a. picture

Step-by-step explanation:

Answer:

an octagon has 3 more sides then a pentagon

Step-by-step explanation:

A pentagon has 5 sides while a octagon has 8 sides and 8 -5=3

Answer:

octogon: 8 sides

pentagon: 5 sides

Explanation:

an octogon has three more sides than a pentagon.

Answer:

y=2

Step-by-step explanation:

7y-1=13

+1 +1

7y=14

/7 /7

y=2

When one outcome is favored over another, we call this favoritism or preference.

When one outcome is favored or chosen over another, it is referred to as favoritism or preference. Favoritism implies a bias towards a particular outcome or individual, while preference suggests a personal inclination or choice.

This concept is commonly encountered in various contexts. For example, in decision-making, individuals may show favoritism towards a specific option based on personal preferences or biases. In voting, people may have a preference for a particular candidate or party. In sports, teams or players may be favored over others due to their past performance or popularity. Similarly, in competitions, judges or audiences may exhibit favoritism towards certain participants.

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When one outcome is favored over another, it signifies a subjective inclination or bias towards a specific result based on personal factors, and this preference can influence decision-making and actions.

When one outcome is preferred or desired over another, we commonly refer to this as a preference or favoritism toward a particular result. It implies that there is a subjective inclination or bias towards a specific outcome due to various factors such as personal beliefs, values, or goals. This preference can arise from a range of contexts, including decision-making, competitions, or evaluations.

The concept of favoring one outcome over another is deeply rooted in human nature and can shape our choices and actions. It is important to recognize that preferences can vary among individuals and may change depending on the circumstances. Furthermore, the criteria for determining which outcome is favored can differ from person to person or situation to situation.

In summary, when one outcome is favored over another, it signifies a subjective inclination or bias towards a specific result based on personal factors, and this preference can influence decision-making and actions.

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Answer:

20 % decay

Step-by-step explanation:

Exponential equations are in the form

y = a * b^x

a is the initial value

b is the growth or decay

b>1 is growth b-1 rate  of growth

b <1 decay  1-b rate of decay

1-.8 = .2

Change to decimal form

20 % decay

Answer:

x=4

Step-by-step explanation:

(x-2)2 - ((x-3)2 • 22)     -3x2 + 20x - 32

——————————————————————  =  

          22                      4      

Answer:

(2, 60°)

Step-by-step explanation:

A point in polar form (a,b) is represented by a radius and an angle (r, ϴ). To convert, use the formula r² = a² + b² to get r, and  \(tan^{-1}\)(b/a) = ϴ

\(r = \sqrt{1^{2} + \sqrt{3} ^{2} }\)

\(r = \sqrt{1+3}\)

\(r = \sqrt{4}\)

= 2

\(tan^{-1}\)(\(\sqrt{3}\)/1) = ϴ

= 60°

Tara has 1.2 kg of flour and 900 g of butter. The recipe requires 60 g of flour and 40 g of butter for 2 pasties. We need to determine the maximum number of pasties Tara can make with the given ingredients.

To find the maximum number of pasties Tara can make, we need to compare the amounts of flour and butter available with the amounts required per pasty according to the recipe.

Given:

Flour available = 1.2 kg = 1200 g

Butter available = 900 g

Amount of flour required per pasty = 60 g

Amount of butter required per pasty = 40 g

Let's calculate the maximum number of pasties Tara can make based on the available ingredients:

Number of pasties based on flour: 1200 g / 60 g = 20 pasties

Number of pasties based on butter: 900 g / 40 g = 22.5 pasties

Since we cannot make half of a pasty, the limiting factor is the amount of butter. Tara can make a maximum of 20 pasties using the available ingredients.

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