The Kelvin scale is an absolute temperature scale that can be used to calculate percent change in temperatures. The formula to convert Celsius to Kelvin is K = C + 273.15. What is the percent change if the temperature rises from 21 c to 29 c? Round to the nearest tenrh

The decrease in price offered by the retail outlet is causing a decrease in the quantity of portable CD players supplied each week.

The steps to find how the decrease in price offered by the retail outlet will affect the number of portable CD players supplied:

\(q = 0.2p^2 + 3p\)

\(q = 0.2(90)^2 + 3(90)\)

q = 1980

Therefore, the current quantity supplied is 1980 portable CD players per week.

p = 90 - 2t

where t is the number of weeks from now.

Substituting this new price into the supply function, we get:

\(q = 0.2p^2 + 3p\)

\(q = 0.2(90 - 2t)^2 + 3(90 - 2t)\)

\(q = 0.2(8100 - 360t + 4t^2) + 270 - 6t\)

\(q = 1620 - 72t + 0.8t^2\)

Therefore, the corresponding quantity supplied as a function of t is\(q = 1620 - 72t + 0.8t^2\)

\(dq/dt = -72 + 1.6t\)

The negative sign indicates that the quantity supplied is decreasing over time due to the decreasing price offered by the retail outlet.

The rate of change of quantity supplied with respect to time is -72 + 1.6t. This means that for every week that passes, the quantity supplied decreases by 72 - 1.6t portable CD players. Therefore, the decrease in price offered by the retail outlet is causing a decrease in the quantity of portable CD players supplied each week. The rate of this decrease is proportional to the time passed since the decrease in price. As time passes, the rate of decrease will slow down until it reaches zero when the quantity supplied becomes zero.

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The speed of the train is 1 m/s.

A train travelled along a track for 70 s at a constant speed. What was its speed in metres per second (m/s)?The speed of the train in metres per second is the distance covered by the train in one second. Therefore, to determine the speed of the train, we must first determine the distance it covered during 70 seconds along the track.

The speed of the train can be calculated by dividing the distance covered by the train in meters by the time taken in seconds.  Therefore,Speed = Distance/TimeThe formula for distance is;Distance = Speed x TimeThe time taken by the train is 70s.The distance travelled by the train is not given, but we can calculate it using the speed of the train and time taken.

Therefore;Distance = Speed x Time Substituting the values;Distance = Speed x 70To find the speed of the train, we rearrange the formula as shown below;Speed = Distance/TimeNow we can substitute the value of distance to get the speed;Speed = (Speed x 70)/70Simplifying the expression,Speed = Speed

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Answer: none of the above

Step-by-step explanation: there is no such input value.

Answer:

None of the above because none of the other answers make sense

Step-by-step explanation:

Answer:

c. 11

Step-by-step explanation:

g(x) = 3(5) -4

= 15-4

= 11

The given heat conduction problem for a rod can be represented by the one-dimensional partial differential equation (PDE) aUzr (x, t) Utxx = f (x, t), where a, r, and f are constants related to the rod's properties.

The boundary conditions for the insulated rod are U (0, t) = U1 and U (L, t) = U2. By multiplying the PDE with a test function v (x) and integrating over the interval [0, L], we obtain the weak formulation of the problem. Discretizing the problem in space and time, we can solve it numerically using a consistent, stable, and convergent numerical method. The numerical solution approaches the exact solution as the grid is refined.

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The given statement "For a fixed confidence level, when the sample size decreases, the length of the confidence interval for a population mean decreases." is false because as the sample size decreases, the precision of the estimate decreases, resulting in a wider confidence interval for a population mean.

When the sample size decreases, the length of the confidence interval for a population mean tends to increase, not decrease.

The confidence interval is a range of values within which we can expect the population mean to fall with a certain level of confidence.

It is calculated based on the sample mean, sample standard deviation , and sample size. The formula for the confidence interval is:

Confidence interval = sample mean ± (critical value) × (standard deviation / √sample size)

The critical value is determined based on the desired confidence level. As the sample size decreases, the denominator (√sample size) becomes smaller.

Since it is in the denominator, a smaller value leads to a larger result, causing the confidence interval to widen.

Intuitively, this makes sense because with a smaller sample size, there is less information available to estimate the population mean accurately.

Therefore, the range of plausible values for the population mean becomes wider, resulting in a longer confidence interval.

In conclusion, as the sample size decreases, the length of the confidence interval for a population mean tends to increase, indicating greater uncertainty in the estimate.

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Based on the given parameters, the calculated value of the probability that it will not rain is 2/3

From the question, we have the following parameters that can be used in our computation:

P(Rain) = 1/3

The probability it will not rain is the complement of the probabilty it will rain

This means that

If the probability of rain tomorrow is 1/3, then the probability of not raining tomorrow is 1 - 1/3 = 2/3.

This can be expressed as

Probability = 0.67 or 67%

Hence, the probability that it will not rain tomorrow is 2/3 or approximately 0.67 (or 67%).

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a. the polar coordinate r for point P, with r > 0 and 0 < θ < 180°, is approximately 5.0874. b. the Cartesian coordinates for point P are approximately (-1.4587, 4.8793). c. The curve does not pass through the origin when 0 < θ < 2π.

a) To find the polar coordinate r for point P, we substitute the given angle θ = 161.14° into the equation r = 7 + 2cosθ.

r = 7 + 2cos(161.14°)

Using a calculator, we can evaluate the cosine function:

r = 7 + 2(-0.9563)

r = 7 - 1.9126

r ≈ 5.0874

Therefore, the polar coordinate r for point P, with r > 0 and 0 < θ < 180°, is approximately 5.0874.

b) To find the Cartesian coordinates for point P, we can convert the polar coordinates (r, θ) to Cartesian coordinates (x, y) using the formulas:

x = rcosθ

y = rsinθ

Substituting r = 5.0874 and θ = 161.14° into the formulas, we have:

x = 5.0874cos(161.14°)

y = 5.0874sin(161.14°)

Evaluating the trigonometric functions:

x = 5.0874(-0.2868)

y = 5.0874(0.958)

x ≈ -1.4587

y ≈ 4.8793

Therefore, the Cartesian coordinates for point P are approximately (-1.4587, 4.8793).

c) To determine how many times the curve passes through the origin when 0 < θ < 2π, we need to examine the values of θ for which r = 0. When r = 0, it indicates that the curve passes through the origin.

Setting r = 0 in the equation r = 7 + 2cosθ:

0 = 7 + 2cosθ

Solving for θ, we have:

2cosθ = -7

cosθ = -7/2

The cosine function has values between -1 and 1. Since -7/2 is outside this range, there are no values of θ between 0 and 2π that satisfy the equation, and thus the curve does not pass through the origin.

In conclusion, for the given curve in polar coordinates with r = 7 + 2cosθ, point P has a polar coordinate r ≈ 5.0874 with θ = 161.14°, and its Cartesian coordinates are approximately (-1.4587, 4.8793). The curve does not pass through the origin when 0 < θ < 2π.

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Answer:g(x) = (x + 3)^2

Step-by-step explanation:

It is translated 3 units to the right so it is the only one that makes sense!

<!> Brainliest is appreciated! <!>

well, from 1990 to 1998 is 8 years, and we know the amount went from $4800 to $6300, let's check for the rate of growth.

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6300\\ P=\textit{initial amount}\dotfill &\$4800\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{years}\dotfill &8\\ \end{cases} \\\\\\ 6300=4800(1 + \frac{r}{100})^{8} \implies \cfrac{6300}{4800}=(1 + \frac{r}{100})^8\implies \cfrac{21}{16}=(1 + \frac{r}{100})^8\)

\(\sqrt[8]{\cfrac{21}{16}}=1 + \cfrac{r}{100}\implies \sqrt[8]{\cfrac{21}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[8]{\cfrac{21}{16}}=100+r\implies 100\sqrt[8]{\cfrac{21}{16}}-100=r\implies \stackrel{\%}{3.46}\approx r\)

now, with an initial amount of $4800, up to 2007, namely 17 years later, how much will that be with a 3.46% rate?

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4800\\ r=rate\to 3.46\%\to \frac{3.46}{100}\dotfill &0.0346\\ t=years\dotfill &17\\ \end{cases} \\\\\\ A=4800(1 + 0.0346)^{17} \implies A=4800(1.0346)^{17}\implies A \approx 8558.02\)

Answer:

\( \displaystyle 12 \log_{5}( {x}^{} {)}^{} - 6 \log_{5}(y ^{} )\)

Step-by-step explanation:

we would like to expand the following

\( \displaystyle \log_{5}\bigg( \frac{{x}^{2}}{y} \bigg) ^{6} \)

since we have a division of two different variable we can consider using division logarithm rule

\( \displaystyle \log_{5}( {x}^{2} {)}^{6} - \log_{5}(y) ^{6} \)

use law of exponent:

\( \displaystyle \log_{5}( {x}^{12} {)}^{} - \log_{5}(y ^{6} )\)

by exponent logarithm rule we acquire:

\( \displaystyle 12 \log_{5}( {x}^{} {)}^{} - 6 \log_{5}(y ^{} )\)

and we are done!

Answer:

Find the slope of the original line and use the point-slope formula y−y1=m(x−x1)to find the line parallel to y=4x.

y=4x+4

Step-by-step explanation:

The statement is true and the function f(x) = ln(x)/x is a solution of the differential equation x^2y' + xy = 1.

To determine whether the statement is true or false, we need to check whether the function f(x) = ln(x)/x satisfies the differential equation x^2y' + xy = 1.
Differentiating f(x) with respect to x, we get:
f'(x) = (1 - ln(x))/x^2
Substituting y = f(x) and y' = f'(x) into the differential equation, we get:
x^2f'(x) + xf(x) = 1
Substituting the expression for f'(x) we derived earlier, we get:
x^2[(1 - ln(x))/x^2] + x[ln(x)/x] = 1
Simplifying, we get:
1 - ln(x) + ln(x) = 1
The equation simplifies to 1 = 1, which is always true.
Therefore, the statement is true and the function f(x) = ln(x)/x is a solution of the differential equation x^2y' + xy = 1.
In conclusion, we have verified that the given function satisfies the differential equation. The importance of checking whether a given function satisfies a differential equation lies in its applications, as it enables us to model various physical and natural phenomena.

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Answer:

y = -7x + 16 and y = -2x - 9

Step-by-step explanation:

Of the five equations the only ones that exist at the point, (5, -19) are y = - 7x + 16 and y = -2x - 9 (Test them out yourself!).

Hope this helps :)

The given number is

The scientific notation of the number is,

it is two i think. hope i could help

For A: Bar graph; for B: Histogram; for C: Pie chart; and for D:  Bar graph would be appropriate graphical representations.

a. The number of sales for your online company on each of the seven days in the past week:

The best graphical display to use here would be a bar graph. This is because a bar graph is appropriate for showing the distribution of a categorical variable, and the days of the week can be considered a categorical variable. The bar graph can clearly show the number of sales for each day of the week, making it easy to compare sales across days.

b. The amounts of each of the sales on Monday of the past week:

A histogram would be the best choice for this scenario. A histogram is used to represent continuous data, and sales amounts are continuous data. The histogram can be used to show the frequency of sales amounts within a specific range, providing a clear visual representation of the distribution of sales amounts on Monday.

c. The number of items bought by each of the customers who made a purchase on Monday of the past week:

A Pareto chart would be the best choice for this scenario. A Pareto chart is used to show the relative frequency or size of problems or categories, with the largest categories displayed on the left and the smallest on the right. The Pareto chart can clearly show the number of items bought by each customer, making it easy to see which customers made the most purchases.

d. The total amount of sales during the past year for each of the customers who made a purchase on Monday of the past week:

A bar graph would be the best choice for this scenario. This is because a bar graph can clearly show the distribution of the total sales amount for each customer, making it easy to compare the total sales among customers.

"

Complete question

Which graphical display should you use? For each of the following scenarios, decide which graphical display (pie chart, bar graph, Pareto chart, stemplot, or histogram) you would use to describe the distribution of the variable. Give a reason for your choice and if there is an alternative choice that would also be reasonable, explain why your choice was better than the alternative.

a. The number of sales for your online company on each of the seven days in the past week.

b. The amounts of each of the sales on Monday of the past week.

c. The number of items bought by each of the customers who made a purchase on Monday of the past week.

d. The total amount of sales during the past year for each of the customers who made a purchase on Monday of the past week.

"

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The research company's analysis of a random sample of 100 junior students' exam scores will provide valuable insights into the accuracy of the reported average score of 74 for the national test.

The parents' concern regarding the low average score on the national test is valid, and their decision to contract a research company to investigate the matter further is a proactive step.

By collecting exam scores from a random sample of 100 junior students, the research company can conduct a statistical analysis to determine if the reported average score of 74 is accurate or potentially inflated.

Random sampling ensures that the selected students represent the larger population of junior students fairly. This approach minimizes bias and allows for generalizations to be made about the entire population based on the characteristics of the sample.

The research company will calculate the mean (average) score of the collected exam scores and compare it to the reported average score of 74. If the calculated mean differs significantly from 74, it suggests that the reported average score may not be an accurate representation of the overall performance of the students.

This analysis will provide objective evidence to support or challenge the parents' claim. If the research company finds that the average score is indeed higher than 74, it strengthens the argument that the reported average was too low. On the other hand, if the calculated mean aligns closely with 74, it may indicate that the reported average was reasonably accurate.

In conclusion, the research company's analysis of the collected exam scores from a random sample of 100 junior students will shed light on the accuracy of the reported average score of 74 for the national test. This evidence-based approach will provide valuable insights and help determine whether the parents' concerns are justified.

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The main answer for the first argument is that we cannot prove that the band could play rock music based on the given premises and rules of inference.

1. Let's assign the following propositions:

  - P: The band could play rock music.

  - Q: The refreshments were delivered on time.

  - R: The New Year's party was canceled.

  - S: Alicia was angry.

  - T: Refunds were made.

2. The given premises can be expressed as:

  (¬P ∨ ¬Q) → (R ∧ S)

  R → T

3. To prove that the band could play rock music (P), we need to derive it using valid rules of inference.

4. Using the premises, we can apply the rule of modus tollens to the second premise:

  R → T        (Premise)

  Therefore, ¬R.

5. Next, we can use disjunctive syllogism on the first premise:

  (¬P ∨ ¬Q) → (R ∧ S)     (Premise)

  ¬R                    (From step 4)

  Therefore, ¬(¬P ∨ ¬Q).

6. Applying De Morgan's law to step 5, we get:

  ¬(¬P ∨ ¬Q)  ≡  (P ∧ Q)

7. Therefore, we can conclude that the band could play rock music (P) based on the premises and rules of inference.

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The required answers are a) y = 60 + 2.5x, b) y = 10x, c) y = 7.5x - 60.

The meaning of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' symbol.

a. The cost of dyeing materials is a fixed cost, so the equation for the money the Drama Club spends is a linear function:

y = 60 + 2.5x

b. The money the Drama Club collects is the price of each T-shirt multiplied by the number of T-shirts sold. This is also a linear function:

y = 10x

c. Profit is the difference between the money collected and the money spent. Thus, the equation for their profit as a function of the number of T-shirts they sell is:

y = 10x - (60 + 2.5x)

y = 7.5x - 60

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Answer:

Spanish:

Los diferentes métodos de integración incluyen:

Integración por sustitución.

Integración por partes.

Integración mediante identidades trigonométricas.

Integración de alguna función particular.

Integración por fracción parcial

Step-by-step explanation:

English:

The different methods of integration include:

Integration by Substitution.

Integration by Parts.

Integration Using Trigonometric Identities.

Integration of Some particular function.

Integration by Partial Fraction.

Answer:

Step-by-step explanation:

Given,

Back of lot of the trapezoid = 175

Front of lot of the trapezoid = 185

Length of lot of the trapezoid = 100

Therefore,

Area of the trapezoid

\( = \frac{a + b}{2} c\)

\( = \frac{175 + 185}{2} \times 100\)

= 360 × 50

= 18000

Hence,

We got the Total Area as 18000.

As per given equation,

Solution ,

\( = > \frac{40}{100} = \frac{x}{total \: area} \)

\( = > \frac{40}{100} = \frac{x}{18000} \)

=> 40 × 18000 = 100 × x

=> 720000 = 100x

\( = > \frac{720000}{100} = \frac{100x}{100} \)

=> x = 7200

Hence,

Xavier's avaliable lot coverage (x) = 7200 (Ans)

Answer:

x = 40

Step-by-step explanation:

50 + 150 + 2x + x + x

200 + 4x

360 - 200 = 160

160 / 4 = 40

x = 40

50 + 80 + 40 + 150 + 40

Answer:associative property?

Step-by-step explanation: because you adding

Answer:

B

Step-by-step explanation:

From the given information:

Sienna has $8 denotes the unit blocks of x tiles. So, she saved $3 per week.

This implies that:

8x + 3(1) = 8x + 3

Also,

If Jacob as well had $6 which implies 6x unit block of tiles while he saved $4;

i.e.

6(x) + 4(1) = 6x + 4

So;

the model that can determine when Sienna will have the same amount as Jacob is:

8x + 3 = 6x + 4

Answer:

b

Step-by-step explanation:

Answer:

ITS C

Step-by-step explanation:

Because since it has a one time fee of 5, the graph has to start at 5, then you narrow it down to c or d, if you look at d then you can see that the graph isnt going up 2 dollars, so then the answer is c.

Answer:

Jack has a toy poodle names Lucy. He is supposed to feed Lucy 11 ounces of dog food a day. He has s ounces of food in the bag he bought for the month. The amount of dog food left in the bag after feeding Lucy today is represented by s-11.

Answer:

To solve the given system of equations using the substitution method, we need to solve one equation for one variable and then substitute that expression into the other equation for that same variable. Let's solve the second equation for y.

-x + y = 4

y = x + 4

Now we can substitute this expression for y into the first equation and solve for x.

-2x + 2(x + 4) = 7

-2x + 2x + 8 = 7

8 = 7

The equation 8 = 7 is not true, which means the system of equations has no solution. We can see this visually by graphing the two lines. They are parallel and will never intersect, which means there is no point that satisfies both equations.

Therefore, the solution to the system of equations is "No solution."

Note: Please be sure to double-check your work to avoid mistakes.

Step-by-step explanation:

Hope this helps you!! Have a wonderful day/night!!

Answer:

  A

Step-by-step explanation:

The rate of change for the table is found using the slope formula. The rate of change for the linear function is the coefficient of x.

__

The slope formula tells us the rate of change is ...

  m = (y2 -y1)/(x2 -x1)

  m = (-9 -(-10))/(-1 -(-4)) = 1/3

The coefficient of x in the equations of the offered answer choices are 1/4 and 6.

The relations between the various slopes are ...

  1/4 < 1/3 < 6

That is, the equation with a slope of 1/4 has a rate of change less than that of the function represented by the table:

  y = 1/4x +4 because ... table of values is 1/3

Answer:

(8+24)÷(12·4)

Step-by-step explanation:

(8+24)= 32

(12·4)= 48

32/48

Simplify

2/3