ANYONE PLEASE HELP ME WITH THIS:(
1.)Click and drag like terms onto each other to simplify fully.
2.)WHAT'S THE RESULT?​

ANYONE PLEASE HELP ME WITH THIS:(1.)Click And Drag Like Terms Onto Each Other To Simplify Fully.2.)WHAT'S

Answers

Answer 1

Answer:

put both 2's on the -3 and then its simplified to -y-x+1

Step-by-step explanation:

Answer 2

Answer:

-y-x+1

Step-by-step explanation:

Step 1, Identify like terms: -y and -x aren't like terms because they aren't the same variables. (-3)+(2)+(2) Are like terms on the other hand.

Step 2: Solve like terms. -3+2 = -1  

Take the -1 and add it to the last 2 in the problem. (-1+2 = 1)

Step 3: Recreate problem in simplified version.

-y-x+1

Sorry if it's wrong, but I tried) <33


Related Questions

Martha earned $180 during the summer doing chores. She bought 3 books worth $14 each using her chore money. How much money was left after she bought the books?

$42
$46
$135
$138

Answers

Answer:

The answer is 42 dollars trust me give me brainliest pls

Step-by-step explanation:

I’m a GOAT in math

50 points and BRAINLIEST

50 points and BRAINLIEST

Answers

There are 12 inches in 1 foot and the picture is 24 inches so the pictures is 2 feet and you even it out so the answer is 2.75 for each side


Hope this is the answer you were looking for! Feel free to message or comment for any questions you have!

Answer:

There are 12 inches in 1 foot and the picture is 24 inches so the pictures is 2 feet and you even it out so the answer is 2.75 for each side

Hope this is the answer you were looking for! Feel free to message or comment for any questions you have!

Step-by-step explanation:

you said 50

Find (a) the compound amount and (b) the compound interest rate for the given investment and annu $4000 for 5 years at 7% compounded annually (a) The compound amount in the account after 5 years is $ (b) The compound interest earned is $

Answers

The future value (A) is approximately 5610.2 for the given investment and annu $4000 for 5 years at 7% compounded annually

To find the compound amount and compound interest rate for the given investment, we can use the formula for compound interest:

(a) The compound amount in the account after 5 years can be calculated using the formula:

A = P(1 + r/n)^(nt)

Where A is the compound amount, P is the principal (initial investment), r is the interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

Given that the principal (P) is $4000, the interest rate ® is 7%, and the interest is compounded annually (n = 1), and the investment is for 5 years (t = 5), we can plug these values into the formula:

A = 4000(1 + 0.07/1)^(1*5)

A = 4000(1 + 0.07/1)^(1*5)

= 4000(1 + 0.07)^(5)

= 4000(1.07)^(5)

≈ 4000(1.402551)

≈ 5610.20

Therefore, the future value (A) is approximately 5610.2

Calculating this expression will give us the compound amount after 5 years.

(b) The compound interest earned can be calculated by subtracting the principal from the compound amount:

Compound interest = Compound amount – Principa

This will give us the total interest earned over the 5-year period.

By evaluating the expressions in (a) and (b), we can determine the compound amount and the compound interest earned for the given investment.

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problem 05.058 - caps removed from sphere knowing that two equal caps have been removed from a wooden sphere of diameter 11.8 in., determine the total surface area of the remaining portion.

Answers

The total surface area of the remaining portion is approximately 23.14 in.

To find the total surface area of the remaining portion of a wooden sphere after two equal caps have been removed, use the formula SA = 4πr2. A sphere is symmetrical, and thus, the diameter of the wooden sphere is equal to the diameter of the remaining portion. The radius of the remaining portion is equal to half the diameter of the sphere minus the radius of the cap.

The diameter of the wooden sphere is 11.8 in. As such, the radius of the sphere is 5.9 in. If two equal caps are removed, the diameter of the remaining portion is equal to 11.8 in - 2x R_cap, where R_cap is the radius of the cap. Since the caps are equal, we can simplify the formula to

D = 11.8 - 2R_cap. R_cap is equal to the radius of a circle with area equal to the surface area of one cap. As such, we can use the formula SA = 2πrh + πr2 to find the surface area of the cap. We know the diameter of the sphere is 11.8 in. Thus, the radius of the sphere is 5.9 in. We also know that the height of the cap is 5.9 in. Since the caps are equal, we can use the formula to find the surface area of one cap and multiply by 2 to get the total surface area of both caps.

SA_cap = 2π(5.9 in)(5.9 in) + π(5.9 in)

2SA_cap = 2π(34.84 in2) + π(34.84 in2)

SA_cap = 2π(34.84 in2) + 109.45 in2SA_cap ≈ 219.74 in

Since the surface area of the cap is equal to 219.74 in, we can use the formula to find the radius of the cap.

219.74 in = 2πrh + πr22(219.74 in2)

= 2π(5.9 in)h + π(5.9 in)22(219.74 in2)

= 37.699 in2 + 109.45 in23r2

= 72.533 in2r ≈ 4.545 in

Using the formula D = 11.8 - 2R_cap, we can find the diameter of the remaining portion of the wooden sphere.

D = 11.8 - 2(4.545 in)D ≈ 2.71 in

The radius of the remaining portion of the wooden sphere is equal to 5.9 in - 4.545 in. Thus, the radius of the remaining portion of the sphere is 1.355 in. Finally, we can find the total surface area of the remaining portion of the sphere.

SA = 4πr2SA = 4π(1.355 in)2SA ≈ 23.14 in

Therefore, the total surface area of the remaining portion is approximately 23.14 in.

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Smith City received 2. 45 inche of rain on Monday and 1. 72 inche of rain on Tueday. Write an equation howing a way to etimate to the nearet inch the total rainfall for the two day

Answers

an equation showing a way to estimate to the neasrt inch the total rainfall for the two day 2.45 + 1.72 ≈ 4.2 inches

1. Add the two amounts of rainfall together: 2.45 + 1.72

2. Round the answer to the nearest inch: 4.2 inches

3. The equation to estimate the total rainfall for the two days is 2.45 + 1.72 ≈ 4.2 inches.

This equation provides a simple way to estimate the total rainfall for two days. By adding the two amounts of rainfall, we can then round the answer to the nearest inch to obtain the estimated total rainfall. This equation can be used to quickly and accurately estimate rainfall totals for any two-day period.

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HELP.... please??????????????

HELP.... please??????????????

Answers

Answers:

Functions

y = -x+11y = 2x^2-6x+4y = -7

Not functions

x = 3x^2+y^2 = 81y^2 = -5x-12

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

Explanation:

A function is possible if and only if any given x input leads to exactly one y output.

For something like x^2+y^2 = 81, we can see that x = 0 leads to either y = 9 or y = -9. So this would not be a function. We would need x to pair with only y value to have it be a function.

We have the same thing going on with y^2 = -5x-12 as well.

For anything of the form x = k, where k is any real number, this is also not a function. We have one single input only and it leads to infinitely many outputs. So in a sense, this is even worse compared to the other examples.

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

In summary, we have these three non-functions:

x = 3x^2+y^2 = 81y^2 = -5x-12

Everything else is a function. You can use the vertical line test as a visual way to check.

HELP.... please??????????????

Which steps can be used to solve for x? check all that apply. Divide both sides of the equation by. Subtract from both sides of the equation. Use the lcd of 2 to combine like terms. Divide both sides by. Multiply both sides by.

Answers

To solve the equation we can use the given options, except calculate the lcd of terms

What is an equation?

An equation is an equality between two algebraic expressions.

How to solve an equation?

To solve an equation we must try to isolate the variable on one side of the equation. Some alternatives may be:

Multiply, add, subtract or divide both sides of the equation by a constant or variableApply bijective operations to both sides of the equation.

Therefore, the wrong option is to obtain the lcd of two like terms.

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Additive Inverses are numbers that add to make-101/11

Answers

The aditive inverse of a number is given by itself multiplied by -1. Then if we have any number x its additive inverse is -x and their sum is:

\(x-x=0\text{ for all values of x}\)

Then theanswer is the second option, 0.

What is 16-2t=5t+9=?

Answers

Answer:

t = 1

Step-by-step explanation:

Bring the like term together.

16 - 9 = 5t + 2t

7 = 7t

t = 1

Answer:

t=1

Refer to the attachment

hope it helps

What is 16-2t=5t+9=?

If U = 4 inches, V = 5 inches, W = 7 inches, X = 7 inches, Y = 8 inches, and Z = 4 inches, what is the area of the object?

If U = 4 inches, V = 5 inches, W = 7 inches, X = 7 inches, Y = 8 inches, and Z = 4 inches, what is the

Answers

Do you know the equation for the area of a rectangle and a triangle

Answer:

45 sq. in.

Step-by-step explanation:

Area = 4 x 4 + 9 x 4 + 1/2 x 2 x 3

= 16 + 36 + 3

= 45 sq. in.

help it’s very urgent please !!!!

help its very urgent please !!!!

Answers

The answer is seven (7)

Explanation:

There are eight red flowers
There are ten white flowers
There are five yellow flowers

Add those together.

8+10+5 = 23

Subtract from the total number of flowers which is thirty.

30 - 23 = 7

Answer:

There are 7 blue flowers.

Step-by-step explanation:

Total flowers: 30

Use the chart to find the red, white, and yellow flowers.

Red: 8

White: 10

Yellow: 5

Find the sum of the these three colored flowers:

8 + 10 + 5

23

Find the difference between the total flowers and the sum of the three colored flowers:

30 - 23

7

7 blue flowers

What is the longest increasing subsequence problem in dynamic programming?

Answers

The Longest Increasing Subsequence (LIS) problem is a classic problem in dynamic programming. Given a sequence of numbers, the problem is to find the longest subsequence in which the numbers are in increasing order. For example, given the sequence {3, 1, 5, 2, 4}, the longest increasing subsequence is {1, 2, 4}, which has length 3.

The LIS problem can be solved using dynamic programming by defining an array to store the length of the longest increasing subsequence that ends at each position in the sequence. The array is initialized to 1, and then for each position i in the sequence, the length of the longest increasing subsequence that ends at i is calculated by finding the maximum length of any subsequence that ends at a position j < i and has a smaller value than the value at i. The final solution is the maximum length of any subsequence in the array.

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Solve each system by graphing. Check your answer. Y=x-22x+y=1

Answers

We have the equations :

\(\begin{gathered} y\text{ = x - 2} \\ 2x\text{ + y = 1} \end{gathered}\)

To solve graphically, we should plot the graph of the equation on the same graph.

For y = x-2

We can obtain two points to plot the graph of y = x-2

At x= 0:

\(\begin{gathered} y\text{ = 0-2} \\ =\text{ -2} \end{gathered}\)

At y= 0:

\(\begin{gathered} 0=\text{ x-2} \\ x\text{ = 2} \end{gathered}\)

We have the points : (0,-2) and (2,0)

For 2x + y =1

At x = 0:

\(\begin{gathered} 0\text{ + y = 1} \\ y\text{ =1} \end{gathered}\)

At y = 0:

\(\begin{gathered} 2x\text{ + 0 = 1} \\ x\text{ = }\frac{1}{2} \end{gathered}\)

We have the points : (0, 1) and (1/2, 0)

Plotting these points gives the graph shown below:

From the graph, we have the point of intersection of the two lines as (1,-1)

Hence, the solution to the system of equation is (1, -1)

Solve each system by graphing. Check your answer. Y=x-22x+y=1

A chef uses a recipe with these ingredients. The chef decides to make more than 1 batch of the recipe. A 2-column table with 4 rows. Column 1 is labeled Vegetable with entries onions, celery, garlic, carrots. Column 2 is labeled Cups Used with entries 2, 1, 1, 3. If a total of 20 cups of onions and carrots were used, how many batches did the chef make

Answers

Answer:

4 batches

I got it by doing the ratio

times it

Answer:

4

Step-by-step explanation:

i did the test

what expression is equivalent to 6(3+0.5)

A.6(3)+0.05
B.(6+3)+(6+0.5)
C.6(3)+6(0.05)
D.6(3)x6(0.05)

Answers

the answer is d , i did the math

In the equation 80 divided by 10 equals 8, the number 80 is the…. A: dividend. B: quotient. C: divisor. D: remainder.

Answers

Answer:

he dividend number is 80, the number used to divide another number is 10 and the result of the dividing two number is 8.

Step-by-step explanation:

c.) Find the Surface Area of the Regular Pyramid. Surface Area: Volume: 24 yds 20 yds​

c.) Find the Surface Area of the Regular Pyramid. Surface Area: Volume: 24 yds 20 yds

Answers

The first one is right to the question

Which is the simplified form of r Superscript negative 7 Baseline + s Superscript negative 12?

Answers

Answer:1/r7+1 over 8 and 12

Step-by-step explanation:

The simplified form of expression r Superscript negative 7 Baseline + s Superscript negative 12 is,

⇒ \(\frac{s^1^2 + r^7}{s^1^2 r^7}\)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

r Superscript negative 7 Baseline + s Superscript negative 12

⇒ r ⁻⁷ + s ⁻¹²

Now, We can simplify the expression as;

⇒ r ⁻⁷ + s ⁻¹²

⇒ 1 / r⁷ + 1 / s ¹²

⇒ \(\frac{s^1^2 + r^7}{s^1^2 r^7}\)

Thus, The simplified form of expression r Superscript negative 7 Baseline + s Superscript negative 12 is,

⇒ \(\frac{s^1^2 + r^7}{s^1^2 r^7}\)

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can you please help me i will give give you 20-30 points

can you please help me i will give give you 20-30 points

Answers

The value of P in the equation is 13.

How to compute the equation?

It should be noted that the equation given is illustrated as:

9(p - 14) = -9

Divide both side by 9

p - 14 = -1

Add 14 to both sides

p - 14 + 14 = -1 + 14

p = 13

Therefore, p is 13.

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How much felt is in the shape for the art project?

Answers

The amount of felt in the compound shape for the art project is: 313cm².

What is a compound shape?

A compound shape is a 2D shape made up of two or more simpler shapes, often with different sizes and orientations, combined together. When computing the dimensions of a compound shape, the first thing to do is to fragment the shape into regular shapes.

Having fragmented the above given shape (art project) there are:

three rectangles; andone triangle.

The required amount of felt for the art project will the sum of the areas of these shapes. The dimensions are given:

The dimension for Rectangle 1 is rectangle 17cm * 5cmThe dimension for Rectangle 1 is rectangle 17cm * 9cm (9cm is already given. We obtained the length by adding 6cm + 11cm + 3cm.The dimension for Rectangle 1 is rectangle 17cm * 3cm Right Angle triangle - Base 6cm, Height 8cm

We derived 6cm by removing 11cm, 5cm and 3cm from 25cm. That is:

25 - 11 - 5 - 3 = 6cm

We derived 8cm - the height of the right angled tringle by removing 9cm from 17cm. That is:

17cm - 9cm = 8cm.

Areas of the following shapes are given as follows:

1) Area of the rectangle with dimensions 17cm x 5cm:                                  Area = length x width = 17cm x 5cm = 85 square cm

2)  Area of the rectangle with dimensions 17cm x 9cm:

    Area = length x width = 17cm x 9cm = 153 square cm

3) Area of the rectangle with dimensions 17cm x 3cm:

Area = length x width = 17cm x 3cm = 51 square cm

4) Area of the right-angle triangle with base 6cm and height 8cm:

Area = 1/2 x base x height = 1/2 x 6cm x 8cm = 24 square cm

Sum of the areas of all four shapes:

85 + 153 + 51 + 24 = 313 square cm

So the amount of felt required in the shape for the art project is: 313cm².


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Full Question:

Although part of your question is missing, you might be referring to this full question: See the attached images.

How much felt is in the shape for the art project?
How much felt is in the shape for the art project?

If Mars has a diameter of approximately 4200 miles, what is the volume of Mars.
( round your answer to the nearest whole number )

Answers

Answer:

Dimplified: \(3.88\)×\(10^{10}\), or \(38,800,000,000\)

Unsimplified: \(38,792,400,000\)

Step-by-step explanation:

Remember, the volume of a sphere is \(V=\)\(\frac{4}{3}\)\(\pi r^{3}\)

This comes into: \(3.87924\)×\(10^{10}\)

As we know, the shape of mars is a sphere.

Let me know if you have a question, or if it lets you not have the ×\(10^{10}\)

Question 28 (1 point)

Find the point P along the directed line segment from point A(-18, -2) to point B(0, 6) that divides the segment in the ratio 1 to 3.

1

20

16+

12 +

84

-20 -16 -12 -8 -2

4

8

12 16 20

-8

-12

-16

-20

O a

P-224)

270)

Ob

pr-2

Oc

Od

PL-9,2

13. 0)

Pt-A

Answers

The coordinates of point P which divides the line segment AB in the ratio 1:3 are ( -13.5, 0)

What is section formula for internal division?

If point P (x,y) lies on line segment AB and satisfies AP:PB = m:n, then we say that P divides AB internally in the ratio m:n. The point of division has the coordinates

(x, y) = \((\frac{mx_2 + nx_1}{m+n} }, \frac{my_2 + ny_1}{m+n} )\)

According to the given question:

Coordinates of the line segment AB are A(-18, -2) and B(0, 6).

This line segment is divided into 1:3 ratio by point P

Let coordinates of point P be (x, y)

Using Section Formula

(x, y) = \((\frac{mx_2 + nx_1}{m+n} }, \frac{my_2 + ny_1}{m+n} )\)

Clearly (x₁, y₁) = (-18, -2) and (x₂, y₂) = (0, 6). Also m:n = 1:3

Substituting in the above equation

(x, y) = \((\frac{1.0 + 3.(-18)}{1+3} }, \frac{1.6 + 3.(-2)}{1+3} )\\\)

(x, y) = ( -13.5, 0)

Hence the coordinates of point P which divides the line segment AB in the ratio 1:3 are ( -13.5, 0)

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Find the volume of a right circular cone that has a height of 15.4 m and a base with a circumference of 18 m. Round your answer to the nearest tenth of a cubic meter.

Answers

The volume of the right circular cone with a height of 15.4 m and a base circumference of 18 m is 15.68 cubic meters.

To find the volume of a right circular cone, we can use the formula:

Volume = (1/3) × π × r² × h,

where π is the mathematical constant pi, r is the radius of the base, and h is the height of the cone.

Given that the base has a circumference of 18 m, we can calculate the radius using the formula:

Circumference = 2 × π × r

18 = 2 × π × r

r = 18 / (2 × π) = 2.864 m.

Now we can substitute the values into the volume formula:

Volume = (1/3) × π × (2.864 m)² × 15.4 m,

Volume = 15.68 m³

Therefore, the volume of the right circular cone with a height of 15.4 m and a base circumference of 18 m is 15.68 cubic meters.

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Structure: axioms quzlet axioms are statements about mathematics that require proof.

a) true

b) false

Answers

The answer is false

In a circle with radius 4.5, an angle measuring 1 radians intercepts an arc. Find the length of the arc to the nearest 10th.

Answers

The length of the arc is approximately 4.5 to the nearest 10th.

How to solve for the length of the arc

To find the length of the arc intercepted by an angle in a circle, we can use the formula:

Arc length = radius × angle (in radians)

In this case, the radius is 4.5, and the angle is 1 radian. So, we can calculate the arc length as follows:

Arc length = 4.5 × 1 ≈ 4.5

Therefore, the length of the arc is approximately 4.5 to the nearest 10th.

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a plane flies 90 kilometres on a bearing 030 and then flies 150 kilometres due east how far east of the of the starting point is the plane​

Answers

Answer:  45√3 + 150 ≈ 227.94

Step-by-step explanation:

A bearing of 30° means we can create a 30-60-90 triangle. We are looking for the x-value = 45√3 ≈ 77.94

Add to that value, the additional 150 due east.

77.94 + 150 ≈ 227.94

A wheel of radius 26 inches is rotating 25

per second. Find the following: The linear speed in inches per second = :: help (numbers) The angular speed in RPMs (Revolutions per minute) =:; help (numbers) The angular speed in radians per second = :: help (numbers)

Answers

The angular speed of the wheel is approximately 0.436 radians per second.


The linear speed in inches per second, we can use the formula:
Linear speed = radius × angular speed

The radius of the wheel is 26 inches and the wheel is rotating at 25 ∘ per second, the linear speed is :
Linear speed = 26 inches × 25 ∘ per second
= 650 inches per second
Therefore, the linear speed of the wheel is 650 inches per second.

For the angular speed in RPMs (Revolutions per minute), we need to convert the given angular speed from degrees per second to revolutions per minute.
Since there are 360 degrees in a revolution, we can calculate the angular speed in RPMs using the following formula:
Angular speed in RPMs = (Angular speed in degrees per second × 1 minute) / 360 degrees
The angular speed is 25 ∘ per second,the angular speed in RPMs is:
Angular speed in RPMs = (25 ∘ per second × 1 minute) / 360 degrees
= 25/360 RPM
= 0.069 RPM (rounded to three decimal places)
Therefore, the angular speed of the wheel is approximately 0.069 RPM.

For the angular speed in radians per second, we need to convert the given angular speed from degrees per second to radians per second.
Since there are 2π radians in a circle (360 degrees), we can calculate the angular speed in radians per second using the following formula:

Angular speed in radians per second = (Angular speed in degrees per second × 2π radians) / 360 degrees
The angular speed is 25 ∘ per second,the angular speed in radians per second is:
Angular speed in radians per second = (25 ∘ per second × 2π radians) / 360 degrees
= (25 × 2π) / 360 radians per second
= 0.436 radians per second (rounded to three decimal places)


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In class, we have showed that f(t)∗δ(t)=f(t). Plese Show that f(t)∗δ(t−T)=f(t−T)

Answers

Function f(t)∗δ(t−T) = f(t−T).

we can solve the function in the following way

1. Start with the convolution equation: f(t)∗δ(t−T).

2. Substitute the definition of the Dirac delta function: δ(t−T) = 1 when t = T, and δ(t−T) = 0 otherwise.

3. The convolution integral becomes: ∫f(t)⋅δ(t−T) dt.

4. Since δ(t−T) is 0 everywhere except at t = T, the integral simplifies to: ∫f(t)⋅δ(t−T) dt = ∫f(t)⋅1 dt.

5. The integral of 1 with respect to t is simply t: ∫f(t)⋅1 dt = f(t).

6. Therefore, the result of the convolution is f(t−T), as t is replaced with t−T in the original function f(t).

7. So, the final equation is f(t)∗δ(t−T) = f(t−T), indicating that the convolution of f(t) with the shifted Dirac delta function δ(t−T) yields f(t−T).

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is the formula for percentages compound interest is P=I/N???
P stands for principle
I stands for compound interest
N stands for nothing

Answers

Answer an essay on nothing

Step-by-step explanation:

In philosophy there is a lot of emphasis on what exists. We call this ontology, which means, the study of being. What is less often examined is what does not exist.

It is understandable that we focus on what exists, as its effects are perhaps more visible. However, gaps or non-existence can also quite clearly have an impact on us in a number of ways. After all, death, often dreaded and feared, is merely the lack of existence in this world (unless you believe in ghosts). We are affected also by living people who are not there, objects that are not in our lives, and knowledge we never grasp.

Upon further contemplation, this seems quite odd and raises many questions. How can things that do not exist have such bearing upon our lives? Does nothing have a type of existence all of its own? And how do we start our inquiry into things we can’t interact with directly because they’re not there? When one opens a box, and exclaims “There is nothing inside it!”, is that different from a real emptiness or nothingness? Why is nothingness such a hard concept for philosophy to conceptualize?

Let us delve into our proposed box, and think inside it a little. When someone opens an empty box, they do not literally find it devoid of any sort of being at all, since there is still air, light, and possibly dust present. So the box is not truly empty. Rather, the word ‘empty’ here is used in conjunction with a prior assumption. Boxes were meant to hold things, not to just exist on their own. Inside they might have a present; an old family relic; a pizza; or maybe even another box. Since boxes have this purpose of containing things ascribed to them, there is always an expectation there will be something in a box. Therefore, this situation of nothingness arises from our expectations, or from our being accustomed. The same is true of statements such as “There is no one on this chair.” But if someone said, “There is no one on this blender”, they might get some odd looks. This is because a chair is understood as something that holds people, whereas a blender most likely not.

The same effect of expectation and corresponding absence arises with death. We do not often mourn people we only might have met; but we do mourn those we have known. This pain stems from expecting a presence and having none. Even people who have not experienced the presence of someone themselves can still feel their absence due to an expectation being confounded. Children who lose one or both of their parents early in life often feel that lack of being through the influence of the culturally usual idea of a family. Just as we have cultural notions about the box or chair, there is a standard idea of a nuclear family, containing two parents, and an absence can be noted even by those who have never known their parents.

This first type of nothingness I call ‘perceptive nothingness’. This nothingness is a negation of expectation: expecting something and being denied that expectation by reality. It is constructed by the individual human mind, frequently through comparison with a socially constructed concept.

Pure nothingness, on the other hand, does not contain anything at all: no air, no light, no dust. We cannot experience it with our senses, but we can conceive it with the mind. Possibly, this sort of absolute nothing might have existed before our universe sprang into being. Or can something not arise from nothing? In which case, pure nothing can never have existed.

If we can for a moment talk in terms of a place devoid of all being, this would contain nothing in its pure form. But that raises the question, Can a space contain nothing; or, if there is space, is that not a form of existence in itself?

This question brings to mind what’s so baffling about nothing: it cannot exist. If nothing existed, it would be something. So nothing, by definition, is not able to ‘be’.

Is absolute nothing possible, then? Perhaps not. Perhaps for example we need something to define nothing; and if there is something, then there is not absolutely nothing. What’s more, if there were truly nothing, it would be impossible to define it. The world would not be conscious of this nothingness. Only because there is a world filled with Being can we imagine a dull and empty one. Nothingness arises from Somethingness, then: without being to compare it to, nothingness has no existence. Once again, pure nothingness has shown itself to be negation.

Alan wants to install security cameras in his store, which has dimensions of 30 feet by 30 feet. Each camera can view an area of approximately 112.5 ft2, with a viewing area shaped like a right triangle. How many cameras will be necessary to cover the entire store? . If he places cameras only in the corners of the store, how much area is left uncovered? ft2.

Answers

Based on the information given, the area that will be left uncovered will be 450ft².

From the information given, the area of the store roof will be:

= 30 × 30 = 900ft²

The area viewed by the camera = 112.5ft²

Therefore, the number of cameras needed will be:

= 900/112.5 = 8

When he places the cameras in the corners of the store, he area covered will be:

= 4 × 112.5 = 450ft²

Therefore, the area left uncovered will be:

= 900 - 450

= 450 ft²

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