Which expression is equivalent to 33.63.23 without
exponents?

Step-by-step explanation:

10 % of 2700 = 270

so he had 2970 rupee

20% of 2970 = 594

so customer have to pay 2970 + 594 = 3564

Electric vehicles offer two significant environmental benefits compared to gasoline-powered engines for transportation: reduced greenhouse gas emissions and improved air quality.

One major environmental benefit of electric vehicles (EVs) is their potential to reduce greenhouse gas emissions. Unlike gasoline-powered engines that release carbon dioxide and other pollutants during combustion, EVs produce zero tailpipe emissions. By relying on electricity as their primary source of power, EVs contribute to lowering greenhouse gas emissions and combating climate change. Furthermore, the environmental impact of EVs can be further reduced if the electricity used for charging them comes from renewable energy sources, such as solar or wind power.

Another environmental advantage of electric vehicles is the improvement in air quality. Traditional gasoline-powered vehicles emit pollutants such as nitrogen oxides, particulate matter, and volatile organic compounds, which contribute to air pollution and various health issues. In contrast, EVs produce no tailpipe emissions, resulting in cleaner air and a reduction in harmful pollutants. This can lead to significant improvements in urban areas where vehicular traffic is dense, reducing respiratory illnesses and enhancing overall public health.

In conclusion, the adoption of electric vehicles offers substantial environmental benefits, including reduced greenhouse gas emissions and improved air quality. These advantages contribute to mitigating climate change, protecting human health, and fostering a cleaner and more sustainable transportation system.

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The volume of the prism is

The volume of the prism is solved by the formula

= area of triangle * depth

Area of the triangle

= 1/2 base * height

base = p = cos 51.34 * √41 = 4

height = q = sin 51.34 * √41 = 5

= 1/2 * 4 * 5

= 10

volume of the prism

= area of triangle * depth

= 10 * 7

= 70 cm³

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The answer to number 1 is 20%.

The answer to number 2 is the top left box. She charges $100 for each one hour lesson.

\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=18\pi \end{cases}\implies 18\pi =2\pi r\implies \cfrac{18\pi }{2\pi }=r\implies 9=r \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=9 \end{cases}\implies V=\cfrac{4\pi (9)^3}{3}\implies V=972\pi ~in^3\)

The integers in the grid are 1, 2, 6, 45, 53, 11, 109, 169, 322, 600, 14, and 1042.

We can start by filling in the third, sixth, and eleventh squares with the given values:

_   _   6   _   _   11  _   _   _   _   14  _

Now we can use the rule that each integer is the sum of the previous three integers to fill in the rest of the grid. We can work from left to right, filling in one square at a time.

For the fourth square, we know that it must be the sum of the first three squares, which are currently unknown. However, we know that the product of the three unknown integers is 84, so we can use this information to find the possible combinations of integers:

1 × 2 × 42

1 × 3 × 28

1 × 4 × 21

1 × 6 × 14

2 × 3 × 14

2 × 4 × 7

3 × 4 × 7

Since the digits are increasing from left to right, the only possible combination is 1, 2, 42. Therefore, the fourth square is 45.

Continuing in this way, we can fill in the rest of the squares:

1   2   6   45  53  11  109 169  322 600  14  1042

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The given region is the annulus-shaped region defined by |z - 1| > 1 and |z| < 2. To map this region onto the upper half plane, we can use the following steps:

Step 1: Shift the annulus-shaped region so that its center is at the origin by substituting w = z - 1. This results in the region defined by |w| > 1 and |w + 1| < 1.

Step 2: Scale the region by a factor of 1/2 so that its outer boundary is a circle with radius 1/2. This results in the region defined by 1/2 < |w| < 1 and |w + 1| < 1.

Step 3: Apply the Cayley transformation w = (z - i)/(z + i) to map the region onto the unit disk. This transformation maps the real line to the unit circle, and the upper half plane to the interior of the unit circle. The inverse transformation is given by z = i(1 + w)/(1 - w).

Step 4: Apply the transformation w = √z to map the unit disk onto the upper half plane. This transformation maps the unit circle to the real line, and the interior of the unit disk to the upper half plane. The inverse transformation is given by z = w^2.The composition of these four transformations gives the desired conformal mapping.

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Engineers can be held most morally blameworthy for foreseeable harms resulting from technological innovations, engineers have a responsibility to anticipate the potential consequences of their work,

and to take steps to mitigate those consequences. If they fail to do so, and their work results in harm, they can be held morally blameworthy. When engineers develop new technologies, they have a responsibility to consider the potential consequences of their work.

They need to think about how their technology could be used, and whether it could be used to harm people or the environment.

They also need to consider how their technology could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their work results in harm, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

For example, engineers who develop new weapons systems have a responsibility to consider the potential consequences of their work. They need to think about how their weapons could be used,

and whether they could be used to kill or injure innocent people. They also need to consider how their weapons could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their weapons are used to kill or injure innocent people, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

It is important to note that engineers cannot be held morally blameworthy for unforeseeable harms. This is because they did not have the opportunity to anticipate the harm, and they could not have taken steps to prevent it.

For example, engineers who develop new medical treatments cannot be held morally blameworthy if the treatments have unforeseen side effects. This is because the engineers did not have the opportunity to anticipate the side effects, and they could not have taken steps to prevent them.

In conclusion, engineers can be held morally blameworthy for foreseeable harms resulting from technological innovations.

This is because they have a responsibility to anticipate the potential consequences of their work, and to take steps to mitigate those consequences.

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Part A: The inequality representing the temperatures for benzene to remain liquid is 42°F < T < 176°F.

Part B: The graph of the inequality includes open circles at 42°F and 176°F, indicating that these temperatures are not included in the solution set. The interval between these points should be shaded, representing the temperatures within which benzene remains liquid.

Part C: No, the chemist would not have been able to conduct her research with benzene at 20°F because it is below the lower bound of the temperature range (42°F) required for benzene to remain in its liquid form.

Part A: To represent the temperatures within which benzene must remain liquid, we can use an inequality. Since the boiling point is 176°F and the freezing point is 42°F, the temperature must stay between these two values. Therefore, the inequality is 42°F < T < 176°F, where T represents the temperature in degrees Fahrenheit.

Part B: The graph of the inequality 42°F < T < 176°F represents a bounded interval on the number line. To describe the graph, we can use open circles at 42°F and 176°F to indicate that these endpoints are not included in the solution set. The interval between these two points should be shaded, indicating that the temperatures within this range satisfy the inequality. The shading should be from left to right, covering the entire interval between 42°F and 176°F.

Part C: In February, when the building's temperature fell to 20°F, the chemist would not have been able to conduct her research with benzene. This is because 20°F is below the lower bound of the temperature range required for benzene to remain liquid. The inequality 42°F < T < 176°F indicates that the temperature needs to be above 42°F for benzene to stay in its liquid form. Therefore, with a temperature of 20°F, the benzene would have frozen, making it unsuitable for the chemist's research.

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The function f(x) = 1/x represents the reciprocal function is a type of rational function.

The reciprocal function has the general form f(x) = 1/x, where x is any non-zero real number.

The reciprocal function is characterized by its graph, which is a hyperbola.

The graph of f(x) = 1/x consists of two branches that approach the x-axis and the y-axis as x approaches positive or negative infinity.

The parent function f(x) = 1/x has several key features:

As x approaches positive infinity, the function approaches zero.

This means that the graph gets closer and closer to the x-axis but never touches it.

As x approaches negative infinity, the function also approaches zero, but on the negative side of the x-axis.

The graph is symmetrical with respect to the line y = x.

This means that if you reflect one branch of the hyperbola over the line y = x, you will get the other branch.

The function is undefined at x = 0 since division by zero is not defined.

The reciprocal function and its variations have various applications in mathematics, physics and engineering, especially dealing with inverse relationships or situations where quantities approach zero or infinity.

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Answer:

-1

Step-by-step explanation:

Answer:

Slope = difference in y / difference in x

slope = 0 - 2 / 2 -0

slope = -2 / 2

slope -1

Step-by-step explanation:

Answer:

Y=7/5x+8

Is the answer to question don't ask me how I know I cheated

The equation y = 7x/5 + b represents a line which is parallel to the line 7x-5y=-30.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

We have an equation,

7x-5y=-30

Simplifying,

y = 7x/5 + 30/5

y = 7x/5 + 6.

The general formula of line parallel to a given line is,

y = 7x/5 + b, where b is the y-intercept of the line.

Therefore, y = 7x/5 + b is the required line.

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Answer:

15%

Step-by-step explanation:

0.15 x 100 = 15%

Answer:

i dont know sorry

Step-by-step explanation:

Answer:

1) $324

2) $630

3) $1254

4) $647.50

Step-by-step explanation:

1) $9.00hr times 36 hours = $324

2) $14.00 hr times 45 hours= $630

3) $22 hr times 57 hours = $1254

4) $18.50 hr times 35 hours =$647.50

The error in the reading on the staff held at a distance of 100 m is approximately 83.91 meters.

To find the error in the reading on the staff, we need to convert the deflection of the bubble into an angular error. The sensitiveness of the bubble tube is given as 20" per 2 mm division, which means that each 2 mm division corresponds to a deflection of 20".

Given that the bubble is deflected by two divisions from the center, the total deflection is 2 divisions * 20" per division = 40".

Next, we need to calculate the angular error. We can use the small angle approximation, which states that for small angles, the tangent of the angle is approximately equal to the angle itself in radians.

Therefore, the angular error can be approximated as 40" * (π/180) radians. Now, to calculate the linear error at a distance of 100 m, we need to consider the relationship between angular error, linear error, and the distance from the level.

This relationship can be expressed as follows:

Linear Error = Distance * Tangent(Angular Error)

In this case, the distance is 100 m, and the angular error is 40" * (π/180) radians. Substituting these values into the equation, we can calculate the linear error:

Linear Error = 100 m * tan(40" * (π/180))

Using a calculator, we find that tan(40" * (π/180)) ≈ 0.8391.

Therefore, the linear error in the reading on the staff held at a distance of 100 m from the level when the bubble is deflected by two divisions from the center is approximately:

Linear Error = 100 m * 0.8391 ≈ 83.91 m.

Hence, the error in the reading on the staff is approximately 83.91 meters.

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The statement that describes the graph of the system of equations is:

C. The lines intersect at (1.6, 1.4).

Here, we have,

To determine the description of the graph of the system of equations:

1.5x + 0.2y = 2.68

1.6x + 0.3y = 2.98

We can start by comparing the slopes of the two lines.

The equations are in the form y = mx + b, where m represents the slope.

In the first equation, the slope is 0.2, and in the second equation, the slope is 0.3.

Since the slopes are different, we can conclude that the lines are not parallel (option A) or overlapping at all points (option B).

To determine the point of intersection, we can solve the system of equations.

By using any appropriate method, we find that the lines intersect at (1.6, 1.4) (option C).

Therefore, the statement that describes the graph of the system of equations is:

C. The lines intersect at (1.6, 1.4).

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Answer:

(0.5, 1.3)(0.5, 1.3)

Step-by-step explanation:

Given equations are:

As we can see that the given equations are linear equations which are graphed as straight lines on graph. The solution of two equations is the point of their intersection on the graph.

We can plot the graph of both equations using any online or desktop graphing tool.

We have used "Desmos" online graphing calculator to plot the graph of two lines (Picture Attached)

We can see from the graph that the lines intersect at: (0.517, 1.267)

Rounding off both coordinates of point of intersection to nearest tenth we get

(0.5, 1.3)

Hence,

(0.5, 1.3) is the correct answer

Keywords: Linear equations, variables

Answer:

3

Step-by-step explanation:

W =3g is the correct answer.

If we have W/3 = g, we can solve for W by multiplying both sides by 3:

W/3 * 3 = g * 3

This simplifies to:

W = 3g

So we can say that W is equal to 3 times g.

In terms of elaboration, this equation represents a relationship between two variables, W and g. It states that if we know the value of g, we can determine the value of W by multiplying g by 3.

This relationship can be used in various contexts, such as in physics to calculate the weight of an object (W) given its mass (g), assuming a certain gravitational force. It is important to understand and apply such relationships in various mathematical and scientific fields.

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The x-intercept of the given linear function is 0 and the graph of the linear ufnction is shown.

So, plot the linear function:

(Refer to the graph attached below)

Therefore, the x-intercept of the given linear function is 0 and the graph of the linear ufnction is shown.

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Answer:

yes

Step-by-step explanation:

Substitute x = - 3 and y = 2 into the left side of the inequality and compare the value obtained with the right side.

- 3 - 5(2) = - 3 - 10 = - 13 < 7

Thus (- 3, 2) is a solution of the inequality

Answer:5.4444 is a decimal and 544.44/100 or 544.44% is the percentage for 49/9.

Step-by-step explanation:

Answer:

-3 and 34

Step-by-step explanation:

9514 1404 393

Answer:

  9.1 cm

Step-by-step explanation:

Corresponding sides of similar triangles are proportional.

  PQ/PR = AB/AC

  PQ/21.7 = 5.2/12.4 . . . . . . . . . . . . . . fill in the given values

  PQ = 21.7(5.2/12.4) . . . . . multiply by 21.7

  PQ = 9.1 . . . cm

Answer:

1920cm^3

Step-by-step explanation:

We use Tan in this case:

Tan=(opposite/adjacent)

Tan(36)=23/x

x=23/Tan(36)

x=31.64 length

Hope it helps!

Answer:

x ≈ 31.64

Step-by-step explanation:

Trigonometric ratios

\(\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}\)

where:

Given:

The given trigonometric ratios all use the angle of 36°.

From inspection of the given diagram:

Therefore, we should use the tan trig ratio.

\(\implies \sf \tan(36^{\circ})=\dfrac{23}{x}\)

\(\implies \sf x=\dfrac{23}{\tan(36^{\circ})}\)

Substituting the given value for tan 36°:

\(\implies \sf x \approx \dfrac{23}{0.727}\)

\(\implies \sf x\approx31.64\)

Answer: X = - 12/5

Step-by-step explanation:

8+\left\{-2-10x\right\}=30

8+\left\{-2-10x\right\}=30

Answer: about 20$ and 63cents

Step-by-step explanation:

240-75=165

165/8=20.265

Answer:

1) AD = 9 in

2) DE = 9.25 in

3) ∠EDC = 36°

4) ∠AEB = 108°

5) 11.5 in

Step-by-step explanation:

1) AD = BC = 9in

2) AC = BD (diagonals are equal)

⇒ BD = 14.25

⇒ BE + DE = 14.25

⇒ 5 + DE = 14.25

DE = 9.25

3) Since AB ║CD,

∠ABE = ∠EDC = 36°

4) ∠ABE = ∠BAE = 36°

Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)

⇒ 36 + 36 + ∠AEB = 180

∠AEB = 108

5) midsegment = (AB + CD)/2

= (8 + 15)/2

11.5

Theorem 7.1.1 states that the Laplace transform of a function f(t) is given by the integral of \(e^{-st} f(t)dt\) from 0 to infinity, where s is a complex number. Therefore, For f(t) = 6t³, the Laplace transform is 6/(s⁴), and for f(t) = 11t - 6, the Laplace transform is (11/s) - (6/s²)

Using this theorem, we can find the Laplace transform of f(t) = 6t³ by evaluating the integral of \(e^{-st} ( 6t^{3} )dt\) from 0 to infinity. Simplifying this expression gives us L{f(t)} = 6/(s⁴).

Similarly, for f(t) = 11t - 6, we can use the same theorem to find the Laplace transform by evaluating the integral of \(e^{-st}(11t - 6)dt\)  from 0 to infinity. This simplifies to \(L{f(t)} = (11/s) - (6/s^2).\)

In summary, Theorem 7.1.1 allows us to find the Laplace transform of a function by evaluating an integral involved  \(e^{-st}f(t)\). For f(t) = 6t³, the Laplace transform is 6/(s⁴), and for f(t) = 11t - 6, the Laplace transform is (11/s) - (6/s²)

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Complete Question:

Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.)

f(t) = 6t³

L{f(t)} = ?

Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.)

f(t) = 11t - 6

L{f(t)} = ?