What is the best estimate of the area of the lake pictured on the grid if each square has a side length of 400 meters?

On a coordinate plane, a figure contains around 30 squares.
3,520,000 square meters
4,840,000 square meters
6,720,000 square meters
8,560,000 square meters

Answer:-12x

Step-by-step explanation:

just trust me on this

Answer: 9

Step-by-step explanation: All you have to do to find the sum is simply add 6 and 3

Answer:

Step-by-step explanation:

sin 75°

sin(30°+45°)

sin30°*cos45°+cos30°sin45°

1/2*1/\(\sqrt{2}\) + \(\sqrt{3}\)/2*1\(\sqrt{2\)

1/2\(\sqrt{2}\)+\(\sqrt{3}\)/2\(\sqrt{2}\)

1+3/2\(\sqrt{2}\)

cos(-75°)

-cos(180°-105°)

-cos(-105°)

cos 105°

cos(45°+60°)

cos45°cos60°-sin45°sin60°

1/\(\sqrt{2}\) *1/2-1/\(\sqrt{2}\) *\(\sqrt{3}\) /2

1/2\(\sqrt{2\)-\(\sqrt{3\)/2\(\sqrt{2}\)

1-\(\sqrt{3}\)/2\(\sqrt{2}\)

sin(75)

=0.96

cos(-75)

=0.25

The value of the function y at x = 2 is approximately 4.5504.

Let's start by finding the general solution to the homogeneous equation xy'' - 4xy' + 6y = 0. We can assume a solution of the form y = \(x^r\) and substitute it into the equation to get:

xy'' - 4xy' + 6y = r*(r-1)\(x^r\) - \(4rx^r + 6x^r = (r^2 - 4r + 6)*x^r\)

So, we want to find the values of r that make the above expression equal to 0. This gives us the characteristic equation:

\(r^2 - 4r + 6 = 0\)

Using the quadratic formula, we get:

r = (4 ± \(\sqrt(16\) - 4*6))/2 = 2 ± i

Therefore, the general solution to the homogeneous equation is:

\(y_h(x) = c1x^2cos(ln(x)) + c2x^2sin(ln(x))\)

Now, we need to find a particular solution to the non-homogeneous equation xy'' - 4xy' + 6y = \(6*x^5\). We can guess a solution of the form \(y_p = Ax^5\) and substitute it into the equation to get:

xy'' - 4xy' + 6y = \(60Ax^3 - 120Ax^3 + 6Ax^5 = 6*x^5\)

So, we need to choose A = 1/6 to make the equation hold. Therefore, the general solution to the non-homogeneous equation is:

\(y(x) = y_h(x) + y_p(x) = c1x^2cos(ln(x)) + c2x^2sin(ln(x)) + x^{5/6\)

Using the initial conditions y(1) = 2 and y'(1) = 7, we get:

c1 + c2 + 1/6 = 2

-2c1ln(1) + 2c2ln(1) + 5/6 = 7

The second equation simplifies to:

2*c2 + 5/6 = 7

Therefore, c2 = 31/12. Using this value and the first equation, we get:

c1 = 13/12

So, the solution to the non-homogeneous equation is:

\(y(x) = 13/12x^2cos(ln(x)) + 31/12x^2sin(ln(x)) + x^{5/6\)

Finally, we can find the value of y(2):

y(2) = \(13/122^2cos(ln(2)) + 31/122^2sin(ln(2)) + 2^{5/6\)

y(2) = 4.5504

Therefore, the value of the function y at x = 2 is approximately 4.5504.

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Answer:

71

Step-by-step explanation:

Glen drank a fraction of 2 bottles and one-half bottles of water.

A fraction is a numerical value that is not a whole number. Fraction is used to represent a part of whole or in some cases the number of equal parts of a whole.

To answer this question, we must understand that in carrying out basic mathematics operation with mixed fraction, we must first convert it to an improper fraction.

In the morning, Glen drank [1(8÷12)] bottles of water, which when converted to an improper fraction gives us (5÷3) bottles

While in the afternoon, he drank (5÷6) bottles

Adding up the fractions [(5/3)+(5/6)] bottles of water drank in the morning and afternoon respectively, we have;

[(5/3)+(5/6)]= [(10+5)÷6]

[(5/3)+(5/6)]=15÷6

[(5/3)+(5/6)]=5÷2

[(5/3)+(5/6)]=[2(1÷2)] (reversing the improper fracion to a mixed fraction).

Hence,we can say that Glen drank 2 bottles and a fraction of one-half bottles of water.

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Answer: A (2,5)

Step-by-step explanation: Remove Parenthesis

                                             y = 3 (2) - 1

                                             Simplify 3 (2) - 1

                                             Multiply 3 by 2

                                             y = 6 - 1

                                             Subtract 1 from 6

                                             y = 5

Use the x and y values to from the ordered pair.

(2,5)

Answer:

(2.5)

Step-by-step explanation:

No, there cannot be a horizontal tangent at the point where the curve intersects the x-axis.

A smooth-drawn figure or line with a bend or turn is referred to as a curve.

A circle is an illustration of a curved shape.

The path, also known as the topological arc, is the name of the curve (or just arc).

If a curve is the continuous injective image of an interval or a circle, it is considered simple.

If a curve is determined by a continuous function, in other words.

So, it possible for the curve to have a horizontal tangent:

On the curve, horizontal tangents appear where:

x = -1 and y ≠ -1

y = 0 where the curve crosses the x-axis.

-1² + 2(-1) + 0⁴ + 4.0 ≠ 5

No, the point where the curve crosses the x-axis cannot have a horizontal tangent.

Therefore, no, there cannot be a horizontal tangent at the point where the curve intersects the x-axis.

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Complete question:

Consider the closed curve in the xy-plane given by : x²+2x+y⁴=4y = 5

Is it possible for this curve to have a horizontal tangent at points where it intersects the x-axis? explain your reasoning.

The ratio of all the corresponding sides of the triangle are equal to each other.

An equation is an expression that shows the relationship between two or more numbers and variables.

Two triangles are said to be similar if they have the same shape and the same corresponding angles.

Also, the ratio of all the corresponding sides of the triangle are equal to each other.

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Answer: attach an image

Step-by-step explanation:

To find the principal, we can use the formula for simple interest:

I = P*r*t

where I is the interest, P is the principal, r is the interest rate, and t is the time in years.

We need to convert 82 days to years by dividing it by 365 (the number of days in a year):

t = 82/365

t = 0.2247

Now we can plug in the values we know and solve for P:

67.14 = P*0.0625*0.2247

P = 67.14/(0.0625*0.2247)

P = 1900

Therefore, the principal is $1900.

Answer:

C. 72

Step-by-step explanation:

So imagine every straight line you see equals to 180 degrees, so given one side of the angle...180 - 108 = 72

Answer:

72

Step-by-step explanation:

Because as we know the angle of this is 180 and we already have (108°) so we have to add 108° to one of the numbers till we get to (180°)

Good luck

The rate of change of the area of the rectangle as required in the task content is; 87 in²/sec.

It follows from the task content; The length is increasing by 9 in/sec which represents 75% of the initial length and the width is growing at 2 in/sec which represents 40% of the initial width.

Since the area of a rectangle is; A = l × w

A (initial) = 60in².

Therefore, the new area of the rectangle after every second is;

Area (new) = 1.75l × 1.4w

Area (new) = 2.45 lw

This therefore translates to the fact that the area of the rectangle is increasing by a factor of 1.45 which is equivalent to 145% of initial Area.

Therefore, the area is increasing by 1.45 × 60 = 87in²/sec.

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The statement "Graphical and numerical techniques, such as histograms and least squares lines provide identical information" is FALSE.

Graphical and numerical methods are two different methods for analyzing data.

Graphical techniques represent data in visual form such as line charts, pie charts, or histograms.

These types of graphs represent data in visual form and provide a visual understanding of how the data is spread. You can identify patterns and trends in data using these charts.

Numerical methods, on the other hand, refer to the use of numerical computations, such as the mean, median, or mode.

Numerical methods provide a quantitative understanding of data.

Neither of these techniques is superior or inferior to the other, they just provide different perspectives on the same data.

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tan 36° can be written as cot 54°, which simplifies to (√3 + 1) / (√3 - 1).

The tangent of 36° can be expressed in terms of its cofunction, which is the cotangent. The cotangent of an angle is equal to the reciprocal of the tangent of that angle. Therefore, we can rewrite tan 36° as cot (90° - 36°).

Now, cot (90° - 36°) can be simplified further. The angle 90° - 36° is equal to 54°. So, we have cot 54°.

The cotangent of 54° can be determined using the unit circle or trigonometric identities. In this case, the exact answer for cot 54° is (√3 + 1) / (√3 - 1).

Hence, tan 36° can be written as cot 54°, which simplifies to (√3 + 1) / (√3 - 1).

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We know that the interior angle sum of a polygon is (n − 2) × 180°, where n is the number of sides.

Here, number of sides (n) = 12

So, interior angle sum = (n − 2) × 180°

=> interior angle sum = (12 - 2) × 180°

=> interior angle sum = 10 × 180°

=> interior angle sum = 1800°

So, the interior angle sum of this polygon is 1800°.

Answer:

the answer to your question is 9.73

Answer:

A

Step-by-step explanation:

Because according to my calculations there are supposed to be 5 digits and for the answers for the question A is the only letter with an answer with 5 digits.

My answer was 9.7325(even though the answers is different they still have the same number of digits) and for A it is 9.7324 which is another 5 digits.

Here is why I got 5 digits.

4.0125

5.7200

_______

When we add these we have to add 0er's to 5.72 because it doesn't have enough digits to add so you add zero's to it.

So 5 +0=5  2 +0=2  1 +2=3  0 +7=7  and for our last number 4 + 5=9 and so our answer is ?

9.7325

and the 9 = 1 digit 7=2 digit 3= 3 digits 2= 4 digits and last 5 = 5 digits.

Hope this helps have a great day:)

The natural values of n for which the difference (2-2n) - (5n-27) is positive are 1, 2, 3, and 4.

To find the natural values of n for which the difference (2-2n) - (5n-27) is positive, we need to simplify the expression and then solve for n.

(2-2n) - (5n-27) = 2 - 2n - 5n + 27

= -7n + 29

So, we need to find the natural numbers n for which -7n + 29 > 0.

To do this, we can solve for n as follows

-7n + 29 > 0

-7n > -29

n < 29/7

Since n is a natural number, it must be an integer greater than or equal to 1. Therefore, the natural values of n for which the difference (2-2n) - (5n-27) is positive are 1, 2, 3, and 4.

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The authors who use statistics about population and rates of homelessness to help prove their point that the increasing population of a city has contributed to rising homelessness are using logos (logical appeal) as a persuasive appeal.

What is logos? Logos is an appeal to reason that is based on logic or reason. A claim, evidence, and a conclusion are all needed in a logical argument. Logos is a logical appeal that helps to persuade a reader or listener using facts, statistics, and reasoning. It is also a persuasive appeal that helps a speaker or writer to convince their audience of the truth or validity of their argument.

The logos appeal is the most effective tool to use when the audience is educated and seeks logical reasons for believing or doing something. In the given scenario, the authors used the statistical data to back their claims, which is a method of logical persuasion or appeal. This is because the information they present is based on evidence and data, which makes it more persuasive to their readers.

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Answer:2 13/16

Step-by-step explanation: Divide the 5 5/8 divided by 2 equals

Answer:

2 13/16 is your answer

Step-by-step explanation:

80+x+45=180 (sum of angles on a straight line)

x=180-80-45

x=55.

The MOS (Military Occupational Specialty) calculator for determining how many 50-pound boxes a delivery driver can safely lift per 8 hours of work is most concerned with ensuring the safety and well-being of the delivery driver. The calculator is likely designed to take into account the physical capabilities of the driver, the amount of weight that the driver can safely lift without causing injury or strain, and the duration of the driver's work shift. By using the calculator, the delivery company can ensure that its drivers are not overworked or exposed to excessive physical strain, which can lead to injury, fatigue, or reduced productivity. Overall, the MOS calculator is an important tool for maintaining the health and safety of delivery drivers and ensuring that they can perform their duties effectively and efficiently.

From the given function f(x) the value of expression f(f(81)) is equal to 3.

Let's see how to find the answer to the question:

Find (f0f)(81)

In the given question, we need to find the value of (f0f)(81). This notation means (f◦f)(81).

Given that f(x)= sqrt(x) and g(x) =\((x - 7)^2\).

We know that to find (f◦f)(x), we need to evaluate f(f(x)).

This means we need to first evaluate f(x), and then evaluate f(f(x)).

To find (f◦f)(81), we need to find f(f(81)).

Using the function f(x), we find f(81):

f(81) = sqrt(81) = 9

Now, we use the function f(x) again to find f(f(81)):

f(f(81)) = f(9)

= sqrt(9)

= 3

Thus, we have found that

(f◦f)(81) = f(f(81))

= 3

Hence, the value of (f0f)(81) is 3.

Therefore, the value of (f0f)(81) is 3.

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Answer:

1. 210 m³

2. 320 in³

3. 189 m³

4. 150 cm³

5. 576 ft³

6. 240 m³

7. 220 cm²

8. 150 ft²

9. 132 in²

10. 592 m²

Step-by-step explanation:

Volume = l × w × h

Area = 2 (wl + hl + hw)

Volume is always cubed.(³)

Area is always squared (²)

Plug it in.

Answer: looks at the picture

Step-by-step explanation: hope this help :)

Three types of rigid transformations are Reflection, Rotation, and Translation. Rigid transformation, also called isometry.

A rigid transformation, also called isometry,  is a transformation that doesn't change the size or shape of a geometric figure. The following are 3 types of rigid transformation:

1. Reflection

→  is the act of shifting an object's coordinates that flip it across a line without changing its shape or size. Horizontal (draw a figure to the left or right) or vertical (draw a figure to the up or down) reflections are possible. The result of reflection is a mirror image of the figure itself.  

The figure is reflected across \(x-\) or \(y-\) axis, and then change \(x-\) or \(y-\) coordinate.

2. Rotation

→ is the non-modification of an object's size or shape by rotating it around an fixed point. A center of rotation is required to rotate an object. And the rotation did by using a degree.

The figure is rotated by a degree (ex: 90°), and then change \(x-\) or \(y-\) coordinate. Meanwhile, a point's center rotation stays at the same.

3. Translation

→ is sliding a figure in any direction without changing its size, shape, or orientation. Translation could be horizontal (make a figure left or right),  or vertical reflections (make a figure up or down).

Vertical translation is shifting the graph along  \(y-\) axis

Horizontal translation is shifting the graph along  \(x-\) axis.

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Answer:

1/6

Step-by-step explanation:

There are 6 different outcomes when rolling a fair dice.

You can roll a:

1

2

3

4

5

or

6

There is one outcome we want. Probability=number of desirable outcomes/total number of options.

1= number of desired outcomes

6-=total number of outcomes

1/6

Therefore, we conclude that 5 vectors in ℝ⁴ cannot be linearly independent.

In ℝ⁴, the dimension is 4, which means that at most we can have 4 linearly independent vectors. Therefore, it is not possible to have 5 linearly independent vectors in ℝ⁴.

To prove this, we can use the fact that the maximum number of linearly independent vectors in a vector space is equal to its dimension. In this case, the dimension of ℝ⁴ is 4.

Assume we have 5 vectors v₁, v₂, v₃, v₄, v₅ in ℝ⁴. If these vectors are linearly independent, it would imply that we have a set of 5 linearly independent vectors in a space with dimension 4, which is not possible.

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