The outside of a closed glass display case measure 22 inches by 15 inches by 12 inches. The glass is half an inch thick. how much air is contained in the case?k

Answers

Answer 1

Answer:

V_air = V_inside = 2,600 cubic inches.

Step-by-step explanation:

To find the amount of air contained in the display case, we need to subtract the volume of the glass from the volume of the outside dimensions.

The volume of the outside dimensions of the display case is:

V_outside = 22 * 15 * 12 = 3,960 cubic inches

The glass is half an inch thick, which means it adds 1 inch to each dimension of the display case. Therefore, the inside dimensions of the display case are:

22 - 2(1) = 20 inches

15 - 2(1) = 13 inches

12 - 2(1) = 10 inches

The volume of the inside dimensions of the display case is:

V_inside = 20 * 13 * 10 = 2,600 cubic inches

The volume of the glass is the difference between the outside and inside volumes:

V_glass = V_outside - V_inside = 3,960 - 2,600 = 1,360 cubic inches

Therefore, the amount of air contained in the display case is:

V_air = V_inside = 2,600 cubic inches.


Related Questions

Need help which graph is it ?

Answers

Answer:

you are correct keep going

transformation

rigid motion

Two small local dog shows record the weight of each dog (to the nearest pound) entering the competition. The data are presented in the box plots.




Which is a valid inference based on the box plots shown? Choose all that apply.
A
The weights in Dog Show 1 are less variable than the weights
in Dog Show 2.
B
The range of weights in Dog Show 1 is greater than the range of weights
in Dog Show 2.
C
The interquartile range for Dog Show 1 is less than the interquartile range
for Dog Show 2.
D
Fewer dogs are entered in Dog Show 1 than in Dog Show 2.
E
The median weight in Dog Show 1 is lower than the median weight in Dog Show 2.

Answers

Option (A) true. The box plot for Dog Show 1 shows a smaller interquartile range and a smaller spread of data compared to Dog Show 2

What is coordinate graph ?

A coordinate graph is a graph that is split up into four quadrants with an x-axis and y-axis. The x-axis runs horizontally, or side to side, and the y-axis runs vertically, or from top to bottom.

A. The box plot for Dog Show 1 has a shorter box, which indicates a smaller interquartile range and less variability in the weights compared to Dog Show 2.

B. This inference is not valid since the range of weights in Dog Show 2 (55-100 lbs) is greater than the range in Dog Show 1 (65-85 lbs).

C. The interquartile range (IQR) for Dog Show 1 is smaller than  for Dog Show 2, indicating that the middle 50% of the weights in Dog Show 1 are closer together than the middle 50% of the weights in Dog Show 2.

D. This statement is false

E. This inference is not valid since the median weight in Dog Show 1 (75 lbs) is higher than the median weight in Dog Show 2 (70 lbs).

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how do you edit a transaction? there are two options

Answers

The ability to edit a transaction depends on the specific platform or software that you are using to manage your transactions.

How do you edit a transaction?

However, in general, there are two options when it comes to editing a transaction:

Edit the existing transaction: This option allows you to modify the details of a transaction that has already been recorded in your system. You may be able to edit the date, amount, category, or any other relevant details of the transaction. This is typically done within the transaction history or ledger of the platform or software you are using.

Void and re-enter the transaction: This option involves voiding or deleting the original transaction and then entering a new transaction with the corrected details. This may be necessary if the original transaction was recorded with incorrect information that cannot be easily edited, or if you want to keep a clear record of the changes made to the transaction.

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What the heck is 5u(2) it’s supposed to be multiplication

Answers

Answer:

10u

Step-by-step explanation:

please and thank you

Answers

In the 1st part the correct option is B and in 2nd part A.

What is an equation?

A mathematical statement known as an equation consists of two algebraic expressions separated by equal signs (=) on either side.

It demonstrates the equality of the relationship between the printed statements on the left and right.

Left side equals right side in all formulas.

To find the values of unknowable variables, which stand in for unknowable quantities, you can solve equations.

A statement is not an equation if it lacks the equals sign.

When two expressions have the same value, a mathematical statement known as an equation will include the symbol "equal to" between them.

Hence, In the 1st part the correct option is B and in 2nd part A.

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Sweetness is an example of empirical intuition, according to Kant.
True or False ​

Answers

Answer:

False. Kant's notion of empirical intuition refers to the immediate awareness of particular objects or experiences, which he believed was necessary for gaining knowledge of the world. However, sweetness is not an example of empirical intuition as it is a subjective experience that cannot be directly observed or measured.

It is false that sweetness is an example of empirical intuition, according to Kant.

What is empirical intuition?

Immanuel Kant introduced the concept of empirical intuition, which refers to the mind's ability to organise and structure sensory experience. It enables us to perceive objects and events in our surroundings and form opinions about them. However, it has nothing to do with sweetness.

Kant defines empirical intuition as sensory information received through our senses, such as colours, shapes, and sounds.

Empirical intuition, according to Kant, refers to the a priori knowledge we have about space and time that shapes our experience of the world.

It excludes abstract concepts like sweetness, which are derived from our perception and interpretation of sensory data.

Thus, the given statement "Sweetness is an example of empirical intuition, according to Kant" is false.

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Please I need help fast

Answers

The value of x for the intersecting chords is derived to be 4 and the segment AV is equal to 8.

What is the properties of intersecting chords

The property of intersecting chords states that in a circle, if two chords intersect, the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.

UA × AS = VA × AT

10 × 12 = 2x(3x + 3)

120 = 6x² + 6x

dividing through by 6 and equating to 0, we have a quadratic equation;

x² + x - 20 = 0

by factorization;

(x - 4)(x + 5) = 0

so;

x = 4 or x = -5

using x = 4, the value of the segment AV is derived as;

AV = 2(4) = 8.

Therefore, the value of x for the intersecting chords is derived to be 4 and the segment AV is equal to 8.

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can you solve this question?
f'(x)=?

Answers

[tex]f'(x) = 21cos(3x)/(1+49sin²(3x)).[/tex] and the outcome is f'(x) = 21cos(3x)/(1+49sin2(3x)). This is the derivative of the function f(x) with respect to x.

We apply the chain rule and the formula for the derivative of the inverse tangent function to determine the derivative of f(x). We first determine that the function contained within the inverse tangent is 7sin (3x). Thus, by differentiating f(x) with respect to x using the derivative of the inverse tangent function, we are able to get an equation in terms of cos(3x) and sin (3x). Trigonometric identities are used to simplify this formula, and the result is[tex]f'(x) = 21cos(3x)/(1+49sin2(3x))[/tex]. This is the derivative of the function f(x) with respect to x.

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ASAP I just.. want this to be done. ASAP

FREE BRAINLIEST if helped me.

Answers

Part 4:  By the theorem of inscribed angle in the circle: arc RP  = 136°.

Part 5: From the central angle theorem: m∠LNM = 54°.

Explain about the inscribed angles:

Part 4:

m∠QRP = 68°

By the theorem of inscribed angle in the circle:

Two chords with a shared termination point on the circle make up an inscribed angle in a circle. The vertex of a angle is this common terminal point.

arc RP  = 2 * m∠QRP

arc RP  = 2 * 68°

arc RP  = 136°

Part 5:

From the central angle theorem:

An inscribed angle's measurement is equal to half of an intercepted arc's measurement.

As a result, any two inscribed angles in a circle with identical intercepted arcs remain congruent.

m∠LNM = 1/2 m∠LNP

m∠LNM = 1/2 * 108°

m∠LNM = 54°

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A wheel of radius 21 ft. is rotating 13 RPM counterclockwise. Considering a point on the rim of the rotating wheel, what is the angular speed in rad/sec and the linear speed v in ft/sec?

Answers

Angular speed is approximately 1.36 rad/sec and the linear speed of a point on the rim of the rotating wheel is approximately 28.56 ft/sec.

How to calculate the angular speed and linear speed of a point on the rim of the rotating wheel?

The angular speed of the rotating wheel in rad/sec is given by:

angular speed = 2π × RPM / 60

where RPM is the revolutions per minute. we get:

angular speed = 2π × 13 / 60

≈ 1.36 rad/sec

The linear speed of a point on the rim of the rotating wheel in ft/sec is given by:

linear speed = radius × angular speed

where radius is the radius of the wheel. we get:

linear speed = 21 ft × 1.36 rad/sec

≈ 28.56 ft/sec

Therefore, the angular speed of the rotating wheel is approximately 1.36 rad/sec and the linear speed of a point on the rim of the rotating wheel is approximately 28.56 ft/sec.

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what is the sum of the first five terms of the arithmetic sequence 4,10,16

Answers

Answer:

80

Step-by-step explanation:

In this sequence, every number increases by 6 units:

4; 10; 16; 22; 28 (first five terms)

The sum:

4 + 10 + 16 + 22 + 28 = 80

Which data set is represented by the modified box plot?

Box and whisker plot on a number line from 90 to 160 in increments of 5. The whisker ranges from 100 to 126. The box ranges from 109 to 124 with the vertical bar inside the box at 117. One dot mark above one hundred and fifty-one.




Responses

116, 118, 114, 117, 151, 126, 122, 114, 124

116, 118, 104, 117, 151, 136, 142, 104, 124

106, 108, 104, 107, 151, 126, 132, 104, 124

100, 104, 114, 116, 117, 118, 122, 126, 151

Answers

Answer:

The data set represented by the modified box plot is:

116, 118, 114, 117, 151, 126, 122, 114, 124

Step-by-step explanation:

|x+8|=x+8 what is x?

ANSWER PLEASE

Answers

Answer:

x=8

Step-by-step explanation:

|x+8|=x+8

x+8=x+8

x^2+8=8

x^2=16

√x^2=√16

x=8

Select the correct answer. A number is selected at random from the set {2,4,6,8,10}. Which event, by definition, covers the entire sample space of this experiment?

Answers

Answer:

Step-by-step explanation:

the answer is c because all those numbers are even and less than 12 its not a because yes all the numbers are greater than two but that answer must include 3,4,5,6,7 and on and on is not d because some numbers are prime and it's not d because the only numbers less than three are 2,1 so that's why the answer is c

The points (3,-2) and (15, r) lie on a line with slope -3/4. Find the missing coordinate r.​

Answers

slope formula is m= y2-y1 / x2-x1

plug in the things you know so r-(-2) / 15-3

(r +2)/12 = -3/4

solve algebraically and you get r= -11

Gildong decided to save 20,000 won a week. He saved for 15 weeks and then for 15 weeks he spent 20,000 won a week on eating Maratang. Write an absolute-value function to represent the amount of money Gildong had in savings.

Answers

Answer:

Step-by-step explanation:

Let's start by defining a coordinate system where the horizontal axis represents the number of weeks that Gildong has been saving (and spending), and the vertical axis represents the amount of money he has in savings.

During the first 15 weeks, Gildong saved 20,000 won per week, so his savings increased linearly from week 0 to week 15. We can represent this with the equation:

y = 20,000x

where x is the number of weeks since the beginning (x = 0 corresponds to the start of the saving period) and y is the amount of money Gildong has saved after x weeks.

During the next 15 weeks, Gildong spent 20,000 won per week on eating Maratang, so his savings decreased linearly from week 15 to week 30. We can represent this with the equation:

y = -20,000(x - 15) + 20,000(15)

where x is the number of weeks since the beginning (x = 15 corresponds to the start of the spending period) and y is the amount of money Gildong has saved after x weeks.

To represent the total amount of money Gildong had in savings at any given time, we can combine the two equations above using an absolute value:

y = |20,000x| - 20,000(x - 15)

where x is the number of weeks since the beginning, and y is the amount of money Gildong has in savings after x weeks.

This function represents the absolute value of the difference between the amount of money Gildong has saved and the amount of money he has spent on Maratang, taking into account the fact that his savings increased linearly during the first 15 weeks and decreased linearly during the next 15 weeks.

Find the value of x if 30 − x = 4x

Answers

Answer:

[tex]30 - x = 4x \\ 30 = 4x + x \\ 30 = 5x \\ x = \frac{30}{5} \\ x = 6[/tex]

1. rearrange terms
2. subtract 30 from both sides
3. subtract the numbers
4. subtract 4x from both sides
5. simplify the expression
6. divide both sides by the same factor
7. simplify the expression

Answer: x = 6

What was the cost for 100 shares at the 52-Week Low?
A. $5228
B. $6433
C. $6523
D. $6720

Answers

The cost for 100 shares at the 52-Week Low is $5228.  Therefore the correct option is option A.

We need to look at the table or chart that shows the data on stock prices at the 52-week low in order to respond to this question. The question alone does not provide the response.

After gaining access to the table, we may calculate the price for 100 shares by multiplying the price for 1 share at the 52-week low by 100.

Let's use $52.28 as an example of the price per share at the 52-week low. The price for 100 shares would be as follows:

$52.28 x 100 = $5,228

Thus, $5228 is the correct response (A).

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You deposit $300 into a savings account that pays 5% annual interest. If the interest compounds continuously, how long will it take for the account to reach $3000? Show the formula you used and the work.

Answers

The amount of $300 will be $3000 in 70 years with the rate of 5 %

Compound interest is the addition of interest to the principal sum of a loan or deposit or interest on interest plus interest.

we have a principal amount is $300 and an interest rate is 5% annually, the amount after compounding is $3000 we have to calculate the time say n.

We know that the formula for the compound interest is-

[tex]A=P(1- \frac{r}{100})^n[/tex]

we have A= $3000

P= $300

r=5% = 0.05

then according to the formula

[tex]3000=300(1+0.05)^n\\\\30=1.05^n\\n=70 years[/tex]

Hence the amount will be 3000 in 70 years.

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HELP PLS THIS IS DUE TOMORROW PLSS HELPPP

Are ARST and ANSP similar? Use pencil and paper. Find the
measure of the angles in each triangle.

Which two angles must be congruent? What type of angles are they? (1 point)

Answers

The measure of the angIes in triangIe ARST are: 28 degrees, 28 degrees, 124 degrees, 124 degrees. The measure of the angIes in triangIe ANSP are: 28 degrees, 51 degrees, 101 degrees, 129 degrees.

What is angIe?  

An angIe is a geοmetric figure fοrmed by twο rays οr Iines with a cοmmοn endpοint, caIIed the vertex. AngIes are typicaIIy measured in degrees οr radians and are used tο describe the amοunt οf turn οr rοtatiοn between twο intersecting Iines οr οbjects. AngIes can be acute (Iess than 90 degrees), right (exactIy 90 degrees), οbtuse (greater than 90 degrees), straight (exactIy 180 degrees), οr refIex (greater than 180 degrees).

Here,

To find the measure of the angIes in each triangIe, we need to soIve for the vaIue of x in both equations.

For the first equation, we can simpIify it as foIIows:

x + 14 = 2x

Subtracting x from both sides, we get:

14 = x

For the second equation, we can simpIify it as foIIows:

3x + 9 = 2x + 23

Subtracting 2x and 9 from both sides, we get:

x = 14

Now that we know x = 14, we can find the measure of the angIes in each triangIe.

In triangIe ARST, we have:

angIe A = x + 14

= 14 + 14

= 28 degrees

angIe R = 2x

= 2(14)

= 28 degrees

angIe S = 180 - (angIe A + angIe R)

= 180 - (28 + 28)

= 124 degrees

angIe T = 180 - (angIe A + angIe R)

= 180 - (28 + 28)

= 124 degrees

In triangIe ANSP, we have:

angIe A = x + 14

= 14 + 14

= 28 degrees

angIe N = 3x + 9

= 3(14) + 9

= 51 degrees

angIe S = 180 - (angIe A + angIe N)

= 180 - (28 + 51)

= 101 degrees

angIe P = 180 - (angIe N)

= 180 - 51 = 129 degrees

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Find the missing information for both parts below.

Answers

The missing information for both parts below include the following:

mVYW = 162 degrees.

m∠XZY = 140 degrees.

What is the theorem of intersecting secants?

In Mathematics and Geometry, the theorem of intersecting secants states that when two (2) lines intersect outside a circle, the measure of the angle formed by these lines is equal to one-half (½) of the difference of the two (2) arcs it intercepts.

Additionally, the inscribed angle of a circle is equal to half of the central angle of a circle;

mVXW = 1/2(mVYW)

81 = 1/2(mVYW)

mVYW = 162 degrees.

By applying the theorem of intersecting secants, the value of m∠XZY can be calculated as follows:

m∠XZY = 1/2(m∠VW - m∠YX)

m∠XZY = 1/2(106 - 36)

m∠XZY = 140 degrees.

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Evaluate the expression
m^2+5m-2 when m=-6

Answers

Answer: 4

Step-by-step explanation:

Lets first start with the expression:

[tex]m^2+5m-2[/tex]

and m = -6

this means by using substition and plugging in the value -6 for all the m's in the expression, you'll be able to evaluate it.

in other words the expression will now like this when doing substition:

[tex](-6)^2+5(-6)-2[/tex]

36 - 30 - 2

= 4

Create a rational inequality for which −1 < ≤ 2 is the solution.

Answers

Thus, the rational inequality formed for the given solution is found as:

x - 3 ≤ 0

Explain about the rational inequality:

A rational inequality is a specific type of statistical inequality statement that typically has a ratio of two polynomials (commonly known as a "rational expression") on the left side and a zero on the right.

A rational expression seems to be a ratio of two polynomials, and a rational inequality is just an inequality that contains a rational expression. To put it another way, a rational expression has the form R(x) / Q(x), when R(x) and Q(x) represent polynomials and Q(x) is not zero. A rational expression appears on the left side of a rational inequality's general form, and a zero appears on the right.

Given expression is:

−1 + x ≤ 2

Subtract both side by 2

−1 + x - 2 ≤ 2 - 2

x - 3 ≤ 0

Thus, the rational inequality formed for the given solution is found as:

x - 3 ≤ 0

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Correct question:

Create a rational inequality for which −1 + x ≤ 2 is the solution.

Determine the measure of

Answers

The measure of a length, you would typically need to know the two endpoints of the length and use the distance formula to calculate the distance between them.

[tex]d = √((x₂ - x₁)² + (y₂ - y₁)²)[/tex]

the formula can also be extended to three-dimensional space by adding an additional term for the z-coordinate, as follows:

[tex]d = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)[/tex]

The measure of an angle, you would typically need to know the two rays or line segments that form the angle and use trigonometry or geometry formulas to calculate the angle measure.

[tex]sin(A)/a = sin(B)/b = sin(C)/c[/tex]

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Solve: x2 + 5x − 9 = 0

Answers

The answer is x=0 !!!

For what to go through a phase change, it’s temperature must be greater than or equal to 212°F or less than or equal to 32°F. If a glass of water is currently at 75°F, what temperature changes will produce a phase change?

Answers

Heating the water to a temperature of 212°F or higher, which will cause it to boil and transform from a liquid to a gas (water vapor).

Cooling the water down to a temperature of 32°F or lower, which will cause it to freeze and transform from a liquid to a solid (ice).

What is the temperature range for a stage change in water?

The temperature range for a stage change in water is either more noteworthy than or equivalent to 212°F or not exactly or equivalent to 32°F, which compares to the bubbling and edges of freezing over of water, separately.

The water is still in its liquid state at 75°F, but it will change phases if it reaches 212°F or is cooled to 32°F or lower.

Therefore, the temperature changes that will produce a phase change in a glass of water at 75°F are:

Heating the water to a temperature of 212°F or higher, which will cause it to boil and transform from a liquid to a gas (water vapor).

Cooling the water down to a temperature of 32°F or lower, which will cause it to freeze and transform from a liquid to a solid (ice).

It is important to note that the temperature of the water will not change during the phase change until the entire change is complete. To put it another way, when water is boiling, it will remain at 212°F until all of the liquid has evaporated, and when it is frozen, it will remain at 32°F until all of the liquid has frozen solid.

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Find thenonpermissible replacment for x in this expression b^2/-7b+7

Answers

The non-permissible replacement for y in the expression is -1

Sophia's fig tree is 38 inches shorter than her lemon tree. The lemon tree is 74 inches tall. Solve the addition equation to find the height of her fig tree.

Answers

To find the height of Sophia's fig tree, we subtracted 38 from 74 and got the result that the height of her fig tree is 36 inches.

In this problem, we are given information about the height of Sophia's lemon tree and the relationship between the heights of her lemon and fig trees. We are asked to find the height of the fig tree.

First, we use "f" to represent the height of the fig tree. We are told that the fig tree is 38 inches shorter than the lemon tree, which we know is 74 inches tall. To find the height of the fig tree, we can subtract 38 from 74:

We know from the problem that Sophia's fig tree is 38 inches shorter than her lemon tree, which is 74 inches tall. So we can write the following equation:

f = 74 - 38

Simplifying this equation, we get:

f = 36

Therefore, the height of Sophia's fig tree is 36 inches.

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10 times as many as 6 hundreds equals what

Answers

Answer: 6000

Step-by-step explanation:

10 times 600
10 x 600

6000

it’s 6000 is ur answer

Select the correct answer.
Mary owns a wholesale flower company that has grown steadily over the past three years. Writing employee paychecks by hand every two weeks
has become a challenge, and Mary's accountant has advised her to switch to direct deposit. Which functionality of her accounting software will she
need to use to do that?
O A. data mining
OB.
OC.
O D.
electronic funds transfer
customizable reports
general ledger entries

Answers

Answer:

electronic funds transfer

Electric funds transfer is the right answer
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