The sum of all proportions in a frequency distribution should be______.

Therefore, the temperature at which the reaction must be performed for the rate constant to increase by a factor of 10.0 fold is approximately 80.4 °C.

To determine the temperature at which the reaction must be performed for the rate constant to increase by a factor of 10.0, we can use the Arrhenius equation, which relates the rate constant (k) to the activation energy (Ea) and temperature (T):

k = A * exp(-Ea / (R * T))

Where:

k is the rate constant

A is the pre-exponential factor (frequency factor)

Ea is the activation energy

R is the gas constant (8.314 J/(mol*K))

T is the temperature in Kelvin

We need to find the temperature (T2) at which the rate constant increases by a factor of 10 compared to the original temperature (T1).

Using the given values:

Ea = 35.0 kJ/mol

T1 = 77.0 °C

= 77.0 + 273.15 K

= 350.15 K

T2 = Unknown

Let's set up the equation using the ratio of rate constants:

k2 / k1 = 10.0

Substituting the Arrhenius equation for k1 and k2:

(A * exp(-Ea / (R * T2))) / (A * exp(-Ea / (R * T1))) = 10.0

The pre-exponential factor (A) cancels out, simplifying the equation:

exp(-Ea / (R * T2)) / exp(-Ea / (R * T1)) = 10.0

Taking the natural logarithm (ln) of both sides:

(-Ea / (R * T2)) - (-Ea / (R * T1)) = ln(10)

Rearranging the equation:

(Ea / (R * T1)) - (Ea / (R * T2)) = ln(10)

Now, we can plug in the values and solve for T2:

(35.0 kJ/mol / (8.314 J/(molK) * 350.15 K)) - (35.0 kJ/mol / (8.314 J/(molK) * T2)) = ln(10)

Simplifying the equation and solving for T2:

0.1196 - (35.0 kJ/mol / (8.314 J/(mol*K))) * T2 = ln(10)

(35.0 kJ/mol / (8.314 J/(mol*K))) * T2 = 0.1196 - ln(10)

T2 = (0.1196 - ln(10)) / ((35.0 kJ/mol / (8.314 J/(mol*K))))

Converting the result to Celsius:

T2 ≈ 80.4 °C

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Answer:

f(3) = g (3)

Step-by-step explanation:

graphically, we notice that the graphs of f and g intersect

at the point of coordinates (3 , 0)

Then

f(3) = 6 = g(3)

Then

f(3) = g (3)

Since the new score is below the current average score, it sure decreases the average score.

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The total change in the water in the pool after 2 1/2 hours given the rate of leakage is -3 1/8,

A fraction is a non-integer. It is made up of numerators and denominators. A mixed fraction is made up of a whole number and a proper fraction. An example is 2 1/2.

The total change in the water = -1 1/4 x 2 1/2

= -5/4 x 5/2 = -25/8 = -3 1/8

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Answer:

5 yards

Step-by-step explanation:

5 yards is 15 feet.

12 feet is 4 yards.

(a) 27 outcomes in the sample space are : (1,1,1), (1,1,2), (1,1,3), (1,2,1), (1,2,2), (1,2,3), (1,3,1), (1,3,2), (1,3,3), (2,1,1), (2,1,2), (2,1,3), (2,2,1), (2,2,2), (2,2,3), (2,3,1), (2,3,2), (2,3,3), (3,1,1), (3,1,2), (3,1,3), (3,2,1), (3,2,2), (3,2,3), (3,3,1), (3,3,2), (3,3,3)

(b) All outcomes in the event that all three members go to the same station are : (1,1,1), (2,2,2), (3,3,3)

(a) The 27 outcomes in the sample space can be represented as ordered triples, where each element corresponds to the station that each family member is assigned to. The possible values for each element are 1, 2, and 3. Therefore, the sample space consists of the following 27 outcomes:

(1,1,1), (1,1,2), (1,1,3), (1,2,1), (1,2,2), (1,2,3), (1,3,1), (1,3,2), (1,3,3),

(2,1,1), (2,1,2), (2,1,3), (2,2,1), (2,2,2), (2,2,3), (2,3,1), (2,3,2), (2,3,3),

(3,1,1), (3,1,2), (3,1,3), (3,2,1), (3,2,2), (3,2,3), (3,3,1), (3,3,2), (3,3,3)

(b) The outcomes in the event that all three members go to the same station can be found by examining the 27 outcomes in the sample space and selecting those outcomes where all three elements are the same. Therefore, the outcomes in the event that all three members go to the same station are:

(1,1,1), (2,2,2), (3,3,3)

In these outcomes, all three family members are assigned to the same station. There are three such outcomes, since each family member can be assigned to any one of the three stations.

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Answer:

positive and negative or c1

Answer:

15

Step-by-step explanation:

To find the first four nonzero terms in the Maclaurin series for the function ln(1+x^3), we can start by taking the derivative of the function repeatedly and evaluating at x=0.

First, we have:

f(x) = ln(1+x^3)

f'(x) = 3x^2 / (1+x^3)

f''(x) = (6x - 9x^4) / (1+x^3)^2

f'''(x) = (18 - 36x^3 - 27x^6) / (1+x^3)^3

We can then evaluate each of these derivatives at x=0 to find the coefficients of the Maclaurin series:

f(0) = ln(1) = 0

f'(0) = 0

f''(0) = 6/1 = 6

f'''(0) = 18/1 = 18

So the first four nonzero terms in the Maclaurin series for ln(1+x^3) are:

0 + 0x + 6x^2 - 18x^3 + ...

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Mrs. Alegria paid for $1.424 one order of chicken nugget and $5.192 one chicken sandwich.

Given, Mrs. Alegria went to Chick-fil-A to buy lunch for the math teacher. One week, she purchased 3 chicken sandwiches and 2 order of chicken nugget for $17. 96.

The following week, she purchased 2 chicken sandwiches and 4 order of chicken nugget for $19. 92.

we have to find the amount she paid for one order of chicken nugget and one chicken sandwich.

Let the cost of one chicken nugget be x,

the cost of one chicken sandwich be y

According to the question,

x + 3y = 17.96

4x + 2y = 19.92

on multiplying eq 1 by 4, we get

4x + 12y = 71.84

4x + 2y = 19.92

Now on subtracting the equations we get

10y = 51.92

y = 5.192

and on substituting the value of y, we get

x + 3(5.192) = 17.96

x + 15.576 = 17

x = 17 - 15.576

x = 1.424

So, the cost of one chicken nugget be, $1.424 and the cost of one chicken sandwich be $5.192

Hence, the cost of one chicken nugget be, $1.424 and the cost of one chicken sandwich be $5.192.

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Answer:

\(\sf 9.6\:hours \:\: or \:\: 576\: minutes\)

Explanation:

\(\sf Time \ taken : \dfrac{Distance}{Speed}\)

Here given:

Applying formula,

\(\sf Time \ Taken = \dfrac{48}{5} = 9.6 \ hours = 576 \ minutes\)

The equation will be 3 y = 2 x + 12 for the graph given.

We are given a graph of the equation.

We need to find the equation of the graph.

Now, first we will see the x and y intercept of the graph.

So, we get that:

x intercept:

( - 6 , 0)

y intercept:

(0 , 4)

Now, we know that equation of the line is given by:

y = a x + b    … (1)

Put the points in the equation:

for (-6 , 0)

0 = - 6 a + b

6 a = b     … (2)

for (0 , 4)

4 = b

Put in (2)

6 a = 4

a = 4 / 6

a = 2 / 3

Put in equation (1):

y = 2 / 3 x + 4

y = ( 2 x + 12 ) / 3

3 y = 2 x + 12

Therefore, we get that, the equation will be 3 y = 2 x + 12 for the graph given.

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The time it took for Rip van Winkle's beard to grow by 5 millimeters is 2 weeks.

Based on the graph, we can determine the time it took for Rip van Winkle's beard to grow by 5 millimeters by identifying the corresponding time interval on the x-axis.

From the graph, we can observe that for each interval of 5 millimeters on the y-axis, the corresponding interval on the x-axis is 2 weeks.

Therefore, it took Rip van Winkle 2 weeks for his beard to grow by 5 millimeters.

Hence, the correct answer is 2 weeks.

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Complete Question:

Rip van Winkle has fallen asleep for a very long time.

The length of his beard (in millimeters) as a function of time (in weeks) is graphed.

How long did it take each time Rip van Winkle's beard grew by 5 millimeters?

Choose 1 answer:

2 weeks

2.5 weeks

7.5 weeks

5 weeks

Answer:

The price of each hamburger is $5 and the price of each drink is $3.

Step-by-step explanation:

Answer:

The answer is 2.

Step-by-step explanation:

Put the numbers in order, the one that appears most often is the mode.

Answer:

2

Step-by-step explanation:

Answer: 20.9420 is your answer

Answer: 210

Explanation:

Recall that the perimeter is the distance around the figure. It's the amount of fencing needed to enclose such a shape.

Add up all three sides and set the sum equal to the perimeter 70. Then solve for x.

side1+side2+side3 = perimeter

(3x)+(3x-1)+(4x+1) = 70

10x = 70

x = 70/10

x = 7

We can then calculate each side

Notice how 21+20+29 = 70 to confirm we have the correct side lengths.

Once we know the horizontal and vertical leg (aka base and height), we can find the area.

Area = 0.5*base*height

Area = 0.5*21*20

Area = 210 square cm

Step-by-step explanation:

first you have to find x . Then you can add them and equal them with triangle area.

SOLUTION

The polynomials expression given are

Expand the expression by distributing the parentheses

Simplify

Hence, the answer is

The number of boats per person in Sweden can vary and may not have a fixed value.

This information may be available from official statistics or relevant sources.

It depends on various factors such as the total number of boats in Sweden, the population size, and the distribution of boats among the population.

To determine the specific number of boats per person in Sweden, you would need to gather data on the total number of boats and the population size of Sweden and then calculate the ratio of boats per person.

This information may be available from official statistics or relevant sources.

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Answer: 444

Step-by-step explanation:

2x2 - 11x - 40= 444

The population after 105 minutes is 282651.0114.

What is exponential growth?

Exponential growth is the process by which quantity rises over time. It occurs when a quantity's instantaneous rate of change with regard to time is proportionate to the quantity itself.

Here, we have

Given: The count in a bacteria culture was 200 after 15 minutes and 1500 after 40 minutes. Assuming the count grows exponentially.

Exponential growth is modeled by the equation: P(t) = P₀\(e^{kt}\)....(1)

where P(t) is the population at time t, P₀ is the initial population and k is the growth rate.

Given

200 after 15 minutes

Now, we put the values in equation (1) and we get

200 = P₀\(e^{15k}\)...(2)

Also, 1500 after 40 minutes

1500 = P₀\(e^{40k}\)...(3)

Now, we divide equation(3)by (2) and we get

1500/200 = \(e^{40k}\)/\(e^{15k}\)

15/2 = \(e^{25k}\)

Now, we take a log and we get

ln(15/2) = 25k

k = ln(15/2)/25

k = 0.0805

Now, we put the value of k in equation(2) and we get

200 = P₀\(e^{15(0.0805)}\)

Initial size of the culture P₀ = 59.702

Now, we find the doubling period:

f(t) = 2P₀

We know that f(t) = P₀\(e^{kt}\).

2P₀ = P₀\(e^{kt}\)

\(e^{kt}\) = 2

Now, we take a log and we get

ln(2) = kt

t = ln(2)/k

t = ln(2)/0.0805

t = 8.600

The time taken to doubling period is 8.600 minutes.

Population after 105 minutes:

f(t) = P₀\(e^{kt}\)

f(t) = 59.702\(e^{0.0805*105}\)

f(t) = 282651.0114

Hence, the population after 105 minutes is 282651.0114.

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The measure of ∠V of the parallelogram is = 150.5°

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the measure of the angle ∠Y = 10x + 27

Let the measure of the angle ∠W = 2x + 29

Now , for a parallelogram the opposite sides are congruent and opposite angles are congruent

Substituting the values in the equation , we get

10x + 27 = 2x + 29

Subtracting 2x on both sides of the equation , we get

8x + 27 = 29

Subtracting 27 on both sides of the equation , we get

8x = 2

Divide by 8 on both sides of the equation , we get

x = 1/4

Let the measure of the angle ∠Y = 10 ( 1/4 ) + 27

Let the measure of the angle ∠Y = 2.5 + 27

Let the measure of the angle ∠Y = 29.5°

Now , same-side interior angles (consecutive angles) are supplementary

Substituting the values in the equation , we get

angle ∠Y + angle ∠V = 180°

29.5° + m∠V = 180°

Subtracting 29.5 on both sides of the equation , we get

m∠V = 150.5°

Hence , the measure of m∠V = 150.5°

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The performance of a thermocouple is displayed in the scatterplot is

Explanatory variable: Temperature

Response variable: Voltage

Given that,

The performance of a thermocouple is displayed in the scatterplot below.

We have to find which of the following choices accurately identifies the explanatory and response variables for the scatterplot.

We know that,

Dots are used to indicate the values for two different numerical variables in a scatter plot (also known as a scatter chart or scatter graph). The positions of each dot on the horizontal and vertical axes represent the values of a single data point. To see how different variables relate to one another, utilize scatter plots.

Explanatory variable: Temperature

Response variable: Voltage

So, we can see the scatterplot in the picture.

Therefore, Explanatory variable: Temperature

Response variable: Voltage when the performance of a thermocouple is displayed in the scatterplot

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Answer:

Explanatory variable: Temperature

Response variable: Voltage

Step-by-step explanation:

Got it right on the test.

The maximum distance Frank can travel would be 10 miles.

What is maximum distance?

For maximum distance that is maximum range of a projectile, the angle of projectile should be 45°.

From given question,

taxicabs charge for first mile = $1.00

for each additional mile = $0.30

The cost for the first mile is $1, and for each additional mile it's $0.30, so for 10 miles it would be $1 + 9 * $0.30 = $4.70. Since Frank has only $3.50, he can travel a maximum of 10 miles.

Therefore, The maximum distance Frank can travel would be 10 miles.

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Answer:

2

Step-by-step explanation:

To find the slope of the graphed line, you take two points. I have chosen (0, 4) and (8, 0)

The formula of a slope is (y value of second point \(-y\) value of first point) divided by (x value of second point \(-x\) value of first point):

\(\frac{0-4}{8-0} =-\frac{1}{2}\)

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

The slope for a perpendicular line is 2.

The p-value can be found with the F-distribution table or statistical software. If the p-value is less than or equal to α, then answer is option (a),If the p-value is greater than α, then answer is option (b).

To determine the correct statistical decision based on the given F-statistic, F (3, 12) = 2.72, we need additional information such as the significance level (α) of the hypothesis test. The significance level is a predetermined threshold that is used to assess the statistical significance of the results.

The correct decision depends on whether the calculated p-value, which quantifies the strength of evidence against the null hypothesis, is less than or equal to the significance level (α).

To find the p-value, you would need the F-distribution table or statistical software.

Once you have the p-value, you can compare it to the significance level (α) to make a decision:

If the p-value is less than or equal to α, you would reject the null hypothesis, indicating a statistically significant mean difference.

If the p-value is greater than α, you would fail to reject the null hypothesis, suggesting that there is not a statistically significant mean difference.

Therefore, without the significance level or the p-value, it is not possible to determine the correct statistical decision.

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The number of leaves that should be on the tree after 5 weeks is B. 2,916.

If the tree had 12 leaves at the beginning of the study and the number of leaves triples each week, then after 1 week, the tree would have 12 * 3 = 36 leaves.

After 2 weeks, the tree would have 36 * 3 = 108 leaves. After 3 weeks, the tree would have 108 * 3 = 324 leaves.

After 4 weeks, the tree would have 324 * 3 = 972 leaves. And after 5 weeks, the tree would have 972 * 3 = 2,916 leaves.

So the answer is B.

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The constraint on \(r=|z|\) for each of the following sums to converge are:\(\(\boxed{\textbf{(a)}\ \frac{1}{2} < |z|}\)\) and \(\boxed{\textbf{(b)}\ |z| < 2}\).

The constraint on \(r=|z|\) for each of the following sums to converge is given below;

(a)  For\(\(\sum_{n=-1}^{\infty}\left(\frac{1}{2}\right)^{n+1} z^{-n}\)\) series, the constraint is given by: We know that, for a power series\(\(\sum_{n=0}^{\infty} a_n z^n\)\), if the limit exists, then the series converges absolutely for\(\(z_0= lim\frac{1}{\sqrt[n]{|a_n|}}\)\).

Using ratio test, we get \(\(\lim_{n \rightarrow \infty}\frac{a_{n+1}}{a_n}=\lim_{n \rightarrow \infty}\frac{1}{2z}\)\), which equals to \(\(\frac{1}{2z}\)\) and hence, the constraint is given by: \(\[\begin{aligned} \frac{1}{2z} < 1 \\ \Rightarrow \frac{1}{2} < |z| \\ \Rightarrow |z| > \frac{1}{2} \end{aligned}\]\)

(b)  For \(\(\sum_{n=1}^{\infty}\left(\frac{1}{2}\right)^{n-1} z^{n}\)\) series, the constraint is given by: Using the ratio test, we get\(\(\lim_{n \rightarrow \infty}\frac{a_{n+1}}{a_n}=\lim_{n \rightarrow \infty}\frac{z}{2}\)\), which equals to \(\(\frac{z}{2}\)\) and hence, the constraint is given by: \(\[\begin{aligned} \frac{z}{2} < 1 \\ \Rightarrow |z| < 2 \end{aligned}\]\)

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Answer:

Step-by-step explanation:

We know that:

Work:

        6D + 4C = 76

        7(6D + 4C = 76)

        42D + 28C = 532

Now, let's substitute the value of D into the first equation.

Hence, the cost of 1 dozen doughnut is $6 and the cost of a dozen croissant is $10.

Hoped this helped.

\(BrainiacUser1357\)