Complete the t-chart for the given function f (x) = -3/2 x + 2

Putting it all together, the indefinite integral of 16 + 2t^3 with respect to t is: ∫(16 + 2t^3) dt = 16t + (1/2) * t^4 + C

To find the indefinite integral of the expression 16 + 2t^3 with respect to t, we can apply the power rule of integration.

The power rule states that the integral of t^n with respect to t is (1/(n+1)) * t^(n+1), where n is any real number except -1.

In this case, we have 16 as a constant term, which integrates to 16t. For the term 2t^3, we can apply the power rule:

∫2t^3 dt = (2/(3+1)) * t^(3+1) + C = (2/4) * t^4 + C = (1/2) * t^4 + C

Putting it all together, the indefinite integral of 16 + 2t^3 with respect to t is:

∫(16 + 2t^3) dt = 16t + (1/2) * t^4 + C

where C is the constant of integration

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When you trim a video, the start and end markers of the timeline indicate the portion of the video that will play during the slide; the trimmed portion indicates the portion that is removed or excluded from the final playback.

When editing a video, you may want to remove certain parts or shorten its duration. Trimming allows you to specify the exact portion of the video that will be included in the final version. The timeline represents the entire duration of the video, and the start and end markers on the timeline serve as reference points for indicating the selected segment. By adjusting the position of these markers, you can define the beginning and end points of the desired portion. The section of the timeline between the start and end markers represents the portion of the video that will play during the slide or be included in the final output. The remaining parts of the video outside of this selected segment are considered the trimmed portion, which will be excluded from the playback or final edited version of the video.

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30: look where the line is

And

8.5: also look where the line is

The actual height of the building is less than or equal to 54.1 m. The length of the vehicular tunnel remains 8328 feet.

The inequality h - 54.1 ≤ h - 54.1 states that the actual height of the building (h) is less than or equal to the measured height of 54.1 m. Since the measured height is already given with one decimal place (54.1 m), the range of the actual height includes all values equal to or less than 54.1 m.

For the vehicular tunnel length, which is stated as 8328 feet, we need to consider the concept of accuracy and significant digits. Since the given length is an exact value, we assume that it has an infinite number of significant digits. Therefore, the range of the length remains the same, from the given value of 8328 feet to itself.

In summary, the range for the actual height of the building is from negative infinity up to and including 54.1 m. The range for the length of the vehicular tunnel remains as 8328 feet to 8328 feet.

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There are 1e-6 cubic meters in a cubic centimeter.

A centimeter is a metric unit of measurement used for measuring the length of an object. It is written as cm. It can also be defined as the unit of length in the International System of Units (SI), the current form of the metric system. It is equivalent to 1/100 meters.

A meter has 100 centimeters.

10 millimeters make one centimeter.

The centimeter can be written as cm.

While calculating the surface area of an object, the unit of measurement becomes cm².

While measuring the volume of an object, the unit of measurement becomes cm³.

Thus, There are 1e-6 cubic meters in a cubic centimeter.

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Answer:54pid

just did my final

The equations that are equivalent to each other will be 2 + x = 5, x + 1 = 4, and - 5 + x = - 2. Then the correct options are A, B, and E.

The equivalent is the expression that is in different forms but is equal to the same value.

Simplify all the equations, then we have

A. 2 + x = 5, to simplify the equation, then we have

2 + x = 5

x = 3

B. x + 1 = 4, to simplify the equation, then we have

x + 1 = 4

x = 3

C. 9 + x = 6, to simplify the equation, then we have

9 + x = 6

x = - 3

D. x + (- 4) = 7, to simplify the equation, then we have

x - 4 = 7

x = 11

E. - 5 + x = - 2, to simplify the equation, then we have

- 5 + x = - 2

x = 3

The equations that are equivalent to each other will be 2 + x = 5, x + 1 = 4, and - 5 + x = - 2. Then the correct options are A, B, and E.

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Answer:

y = 3x - 10

Step-by-step explanation:

Answer:

y = 3x -10

Step-by-step explanation:

Slope intercept form is y = mx+b  where m is the slope and b is the y intercept

-9x +3y =-30

Add 9x from each side

-9x+9x +3y =9x-30

3y = 9x-30

Divide each side by 3

3y/3 = 9x/3 -30/3

y = 3x -10

The probability that the rack ends up in alphabetical order is 1/362880.

We have to find the probability of ending up in alphabetical order. First we have to find the total permutation. This can be done by calculating permutation.

Next, we find the all alphabetical combinations. To check this we find the combination. To get the probability, we divide the number of alphabetical combination by total combinations.

Number of alphabetical combinations = 11C9

Number of total combinations = 11P9

P(rack ends up in alphabetical order)

= (11C9)/(11P9)

= 55/19958400

= 11/3991680

= 1/362880

Therefore, the probability that the rack ends up in alphabetical order is 1/362880.

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Answer:

I think its true

Step-by-step explanation:

Total of all frequencies:

5+8+1213+11= 49

Divide the frequency of 59-61 by total frequencies:

13/49 = 0.265 which rounds to 0.27

The answer is 0.27

When the line to be examined's slope is known, and the provided point also serves as the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b).

When should you use point-slope form?

When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). The y value of the y intercept point is represented by b in the equation.

One of the three ways we can express a straight line is using the point slope form, also known as the point-gradient form. By merely knowing one point on the line and the slope of the line, we may use this form to get the equation of the line.

The slope and y-intercept of the matching line can be rapidly determined when we have a linear equation in slope-intercept form. This enables us to graph it as well.

The equation of a line can be represented in either slope-intercept form or point-slope form.

Slope-intercept form:

The slope-intercept form of a line is given by y = mx + b, where m is the slope of the line and b is the y-intercept.

To find the equation of the line passing through the points (3,5) and (6,11) in slope-intercept form, we can use the point-slope formula to find the slope and then use one of the points to find the y-intercept.

Point-slope form:

The point-slope form of a line is given by y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

To find the equation of the line passing through the points (3,5) and (6,11) in point-slope form, we can use the point-slope formula and one of the points.

Using the point-slope formula, the slope of the line is (11 - 5) / (6 - 3) = 6/3 = 2.

So, the equation of the line in slope-intercept form is:

y = 2x + b

We can use the point (3,5) to find the y-intercept:

5 = 2 * 3 + b

Solving for b, we get b = -1.

So the equation of the line in slope-intercept form is:

y = 2x - 1

In point-slope form, using the point (3,5), the equation of the line is:

y - 5 = 2(x - 3)

Both forms represent the same line, just in different ways.

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The sequence of transformations that will transform graph of y = cosx into the graph of y = f(x) are

The transformation of y = cos x to have a local maximum and has coordinates (1,3) and a local minimum with coordinates (2,-3) is done as follows

y = cos x have a maxima of 1 and minima of -1 a vertical stretch by a factor of 3will arrive at a maxima and minima of 3 and -3 respectively

y = 3 cos x

horizontal stretch by a factor of 3.14

A period is 6.28 units, for a maxima and minima to be a unit apart in the x direction, a period should be 2 units

hence 6.28 / 2 = 3.14

y = 3 cos 3.14x

To shift the maxima and the minima to 1 and 2 we translate to the right by 3.14 units. subtraction moves the graph to the right

y = 3 cos 3.14x - 3.14

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Answer:

1.5 grams

Step-by-step explanation:

This is because if there are five hours there will be 5 half lives due to it decaying 50% every hour. Therefore we would have to dived 48 by 2, 5 times or in other words 48÷\(2^{5}\) = 1.5

Answer:

1/3

Step-by-step explanation:

10 to 10:30

10:30 to 11

11 to 11:30

3 periods of time

10 to 11 is 2/3 periods

3/3 - 2/3 = 1/3

The answers to the multiple-choice questions are as follows:

Converse: C. If you are not awake, then you are in class.

Inverse: OB. If you are not in class, then you are awake.

Contrapositive: OC. If you are awake, then you are not in class.

The converse, inverse, and contrapositive of the given statement "If you are in class, then you are not awake" are as follows:

Converse: If you are not awake, then you are in class.

The converse swaps the positions of the hypothesis and conclusion.

Inverse: If you are not in class, then you are awake.

The inverse negates both the hypothesis and the conclusion.

Contrapositive: If you are awake, then you are not in class.

The contrapositive negates both the hypothesis and the conclusion and swaps their positions.

Therefore, the answers to the multiple-choice questions are as follows:

Converse: C. If you are not awake, then you are in class.

The converse statement reflects the swapped positions of being awake and being in class.

Inverse: OB. If you are not in class, then you are awake.

The inverse statement reflects the negation of both being in class and being awake.  

Contrapositive: OC. If you are awake, then you are not in class.

The contrapositive statement reflects the negation of both being in class and being awake, while swapping their positions.

Note: The provided option "You are not in place or you are not awake" does not correspond to any of the converse, inverse, or contrapositive statements.

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36%

Step-by-step explanation:

28 + 16 = 44 Football players

Of those, 16 are on the lacrosse team.

16 / 44 × 100 = 36.36% (We round to 36%)

To verify:

44 × 36.36% = 15.84 (Which we can round to 16)

Pardon me if it's wrong

6. The costs are given as follows:

4 kites - $28.

7 kites  - $34.

10 kites - $40.

7. The linear function is defined as follows:

y = 20 + 2x.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

From the table, the intercept b is given as follows:

b = 20.

When x increases by one, y increases by two, hence the slope m is given as follows:

m = 2.

Then the function is given as follows:

y = 2x + 20.

The costs are given as follows:

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Saltine Chemical Inc. plans to construct a chemical plant in Nassau, Bahamas, investing $0.05 billion to produce iodized salt and industrial salts, creating over 200 local jobs and contributing to the region's economic growth.

the plant and is projected to create over 200 job opportunities for the local community. The decision to build the chemical plant in Nassau stems from the region's strategic location and its abundant natural resources, which make it an ideal hub for salt production.

Saltine Chemical Inc. aims to leverage advanced technology and sustainable practices in the construction and operation of the plant. Stringent environmental regulations will be followed to ensure minimal impact on the delicate ecosystem of the Bahamas. The company also plans to collaborate with local stakeholders, including government bodies and community organizations, to foster a mutually beneficial relationship and contribute to the socio-economic development of Nassau.

The production facility will not only cater to the domestic market but also target international markets, exporting iodized salt and other industrial salts. This expansion is anticipated to boost the local economy, attract foreign investment, and enhance the region's reputation as a key player in the chemical industry.

Through its responsible approach to production and commitment to quality, Saltine Chemical Inc. aims to become a trusted supplier of iodized salt and other industrial salts, meeting the diverse needs of customers while upholding the highest standards of safety and sustainability.

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The correct Question is:

Saltine Chemical Inc. plan to build a chemical plant in Nassau,

Bahamas, for the production of Iodized Salt and other industrial

based salts. Saltine will spend SO.05 billion in constructing the

plant at the onset and S835000 in annual maintenance and

operating cost for the subsequent years of operation. A complete

overhaul of the plant will be carrying out at the end of year 6

and 8 at an extra cost ofS148200 and 132005 respectively.

Saltine intends to run the project for 12 years before they sell the

plant to an indigenous chemical company at a salvage price

calculated based on the following equation:

Answer:

10⁰ =1

why?

because when everything ⁰ =1

hope it helped you:)

Answer:

(-3, -4) corresponds to (0, 0) in f(x)

Step-by-step explanation:

Answer:

d on edge :)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

\(Z^{2}N^{3}\)

Cross 3 and 2

Z has 2 and and  N have 3

Answer:

5e-5 for the top and 0.159 for the bottom

Answer:

1 / 10

Step-by-step explanation:

From the question :

Fraction of scratch and sniff sticker from total stickers = 2/5

1/4 of scratch and sniff stickers smell like banana :

Fraction of total stickers that smell like banana :

(Fraction of scratch and sniff sticker from total stickers) * (scratch and sniff stickers smell like banana)

= (2/5) * (1/4)

= 2 /20

= 1/10

Step-by-step explanation:

the middle one has to be the same for both part ratios.

the best here is to bring the ratio element of B in the first part ratio to 10. we need to double the B element there

for that (as a ratio is a fraction) we also have to adapt the A element in the same way.

so, we get

4×2 : 5×2 : 9 =

= 8 : 10 : 9

and that is also shown in the graphic.

Answer:

X:Y:Z= 8:10:9

Step-by-step explanation:

Let x be the number of students in class A

Let y be the number of students in class B

Let z be the number of students in class C

x:y = 4:5

y:z= 10: 9

x:y:z = ?

Find the LCM of the y terms (5 and 10 ) which is 10

Divide 10 by the first y term (5) = 2

Divide 10 by the second y term(10) = 1

X: y = (4 x 2) :(5 x 2)= 8:10

y:z =(10 x 1) : (9:1)= 10:9

x:y:z= 8:10:9

Answer:

Step-by-step explanation:

According to sine law of trigonometric functions,

sin(α)/a =sin(β)/b

hence using this

sin(18)/y = sin(x)/2y

sin(x)=2*sin(18)

sin(x)=2*0.309

sin(x)= 0.618

x=sin-1(0.618)     ( sin-1  is sine inverse)

x=38.17 °