The following ratios form a proportion.

5\18 = 10/90


True False

The equatiion where C is the constant of integration.To evaluate the indefinite integral ∫(3e^x + 4x^5 - x^3/4 + 1)dx, we can integrate each term separately.

∫3e^x dx = 3∫e^x dx = 3e^x + C₁

∫4x^5 dx = 4∫x^5 dx = 4 * (1/6)x^6 + C₂ = (2/3)x^6 + C₂

∫-x^3/4 dx = (-1/4)∫x^3 dx = (-1/4) * (1/4)x^4 + C₃ = (-1/16)x^4 + C₃

∫1 dx = x + C₄

Now, we can combine these results to obtain the final answer:

∫(3e^x + 4x^5 - x^3/4 + 1)dx = 3e^x + (2/3)x^6 - (1/16)x^4 + x + C

Therefore, the indefinite integral of (3e^x + 4x^5 - x^3/4 + 1)dx is:

∫(3e^x + 4x^5 - x^3/4 + 1)dx = 3e^x + (2/3)x^6 - (1/16)x^4 + x + C

where C is the constant of integration.

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Answer:

(-2,-1) i am pretty sure this is the answer because the 1/3 gives a big hint

Answer:

Slope = 6

Step-by-step explanation:

Reading your description carefully, the equation of line has been given to be

When we compare this with the standard form of a straight line

We immediately see that the slope or gradient m = 6.

Alternatively, when we consider the coordinates of the points mentioned, we have

(1, 5)    ;     (0, -1)     ;     (-1, -7)

We can take any two points out of these three and calculate the slope using the formula

For example, let us consider the points (1, 5) and (-1, -7)

Here x₁ = 1; x₂ = -1 and y₁ = 5; y₂ = -7

Plugging the numbers in the above formula, we have

This agrees with what we calculated directly from the equation of the line!

Hence, slope of the line on the graph = 6

The slope of the line in simplified form is -1

Find the required diagram attached.

The formula for calculating the slope of a line is expressed as:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Using the coordinate points (0, -2) and (-2, 0)

Substitute the given coordinates into the formula:

\(m=\frac{0-(-2)}{-2-0}\\m=\frac{0+2}{-2}\\m=\frac{-2}{2}\\m=-1\)

Hence the slope of the line in simplified form is -1

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Answer:

10/9

Step-by-step explanation:

10/9

Just flip-flop the numerator and denominator

Step-by-step explanation:

z = 32°

then

53 + 32 + y = 180 °   ( a straight line )

y = 95°

Answer:

Evaluate: 12a - 24b - 4

The inequality that represents Rita saving money from the second option is 0.059x < 0.49 + 0.019x

"Information available from the question"

In the question:

1. Pay $0. 49, plus an additional $0. 019 per minute.

2. Pay $0. 059 per minute.

Now, According to the question:

How to determine the inequality that represents the statement?

We have the following parameters that can be used in our computation:

1. Pay $0.49, plus an additional $0.019 per minute.

2. Pay $0.059 per minute.

These statements can be represented as

Option 1: y = 0.49 + 0.019x

Option 2: y = 0.059x

Where y is the total amount and x is the number of minutes

When she saves money, we have

Option 2 < Option 1

Substitute the known values in the above equation, so, we have the following representation

0.059x < 0.49 + 0.019x.

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(a) The probability that a customer arrived after 2 minutes is 13/15.

(b) (i) The probability that the first customer arrives after 2 minutes is e-1.

    (ii) The probability that the 8th customer arrives after 2 minutes is approximately 0.9938.

(a)Let X be the time within the 15 minutes that the customer arrived: The probability density function of X, f(x), is uniform, where f(x) = 1/15 for 0 ≤ x ≤ 15.

The mean and variance:

Mean: µ = E(X) = (0 + 15)/2 = 7.5 minutes.

Variance: σ2 = Var(X) = \(15^2\)/12 = 18.75

To find P(X > 2), use the following formula: \(P(X > 2) = \int\limits 2^{15} f ({x}) \, dx =\int\limits 2^{15} ({1/15}) \, dx = (1/15) [x]2^{15} = (13/15)\).

Therefore, the probability that a customer arrived after 2 minutes is 13/15.

(b) The arrival of the customers follows a Poisson process with a mean of 30 per hour.

(i)Let X denote the waiting time until the first customer arrives after 8.00 am: This is an exponential distribution with a rate parameter of

λ = 30/60 = 0.5 customers per minute.

The probability density function of X, f(x), is given by

f(x) = λe-λx = 0.5e-0.5x, where x > 0.

The mean and variance can be found as follows:

Mean: µ = E(X) = 1/λ = 2 minutes.

Variance: σ2 = Var(X) = 1/λ2 = 4

To find P(X > 2), use the following formula:

P(X > 2) = ∫2∞ f(x) dx = ∫2∞ 0.5e-0.5x dx= [-e-0.5x]2∞ = e-1.

Therefore, the probability that the first customer arrives after 2 minutes is e-1.

(ii) Let X denote the waiting time until the 8th customer arrives: This is a gamma distribution with parameters α = 8 and λ = 30/60 = 0.5 customers per minute.

The probability density function of X, f(x), is given by

f(x) = λαxα-1e-λx/Γ(α), where x > 0 and Γ(α) is the gamma function.

The mean and variance can be found as follows: Mean: µ = E(X) = α/λ = 16 minutes.

Variance: σ2 = Var(X) = α/λ2 = 32

To find P(X > 2), use the following formula: P(X > 2) = ∫2∞ f(x) dx, which cannot be evaluated analytically. However, normal approximation can be used since X is a sum of independent exponential random variables with the same rate parameter. To approximate the distribution of X with a normal distribution,

Mean: µ = 16 minutes. Variance: σ2 = 32

Standard deviation: σ = sqrt(σ2) = 5.66 minutes.

To find P(X > 2), standardize the variable as follows:

Z = (X - µ)/σ = (2 - 16)/5.66 = -2.47.

The probability can be found from a standard normal table or using a calculator: P(X > 2) = P(Z > -2.47) = 0.9938 (approx.).

Therefore, the probability that the 8th customer arrives after 2 minutes is approximately 0.9938.

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Answer:

The number y decreased by 12.

Step-by-step explanation:

Answer

the answer is b y decreased by 12

Step-by-step explanation:

that is what y-12 is

The proportion of patients who died in the treatment group is 65.2% and the proportion of patients who died in the control group is 88.2%.

In the Stanford Heart Transplant Study, the proportions of patients who died in the treatment and control groups are as follows:
Of the 34 patients in the control group, 4 were alive at the end of the study.

For the treatment group, 45 out of 69 patients died.

Therefore, the proportion of patients who died in the treatment group is 45/69, which is approximately 0.652 (65.2%).
For the control group, 30 out of 34 patients died.

Therefore, the proportion of patients who died in the control group is 30/34, which is approximately 0.882 (88.2%).

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The coordinates of X that partitions XY in the ratio 5 to 4 include the following: X (-1.6, -7).

In this scenario, line ratio would be used to determine the coordinates of the point X on the directed line segment AB that partitions the segment into a ratio of 5 to 4.

In Mathematics and Geometry, line ratio can be used to determine the coordinates of X and this is modeled by this mathematical equation:

M(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

By substituting the given parameters into the formula for line ratio, we have;

M(x, y) = [(5(2) + 4(-6))/(5 + 4)],  [(5(-11) + 4(-2))/(5 + 4)]

M(x, y) = [(10 - 24)/(9)],  [(-55 - 8)/9]

M(x, y) = [-14/9],  [(-63)/9]

M(x, y) = (-1.6, -7)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

You can figure out prime numbers by simply knowing that you can divide that number not more than one. For example, you could know that a prime number is 7 because you can only divide it once like 7 divided by 1. While for number 14, you can divide it twice which isn't a prime number because there is 14 divided by 2 and 14 divided by 1 which is more than one to divide. That's possibly an easy way to understand how to figure them out.

S is not a basis for R3 because it is linearly dependent and does not span R3.

To explain why S is not a basis for R3, we need to consider the properties of a basis, which are linear independence and spanning the entire space.

S = {(1, 1, 1), (0,1,1), (1,0,1), (0, 0, 0)}

Step 1: Check for linear independence
A set of vectors is linearly independent if none of the vectors can be written as a linear combination of the other vectors in the set. In this case, S is linearly dependent because the fourth vector (0, 0, 0) can be represented as a linear combination of the other vectors:

0 * (1, 1, 1) + 0 * (0, 1, 1) + 0 * (1, 0, 1) = (0, 0, 0)

Step 2: Check if S spans R3
A set of vectors spans R3 if every vector in R3 can be written as a linear combination of the vectors in S. Since S contains the zero vector (0, 0, 0), it does not contribute to the span of S, and the remaining three vectors are not enough to span R3.

In conclusion, S is not a basis for R3 because it is linearly dependent and does not span R3.

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Answer:

A and D

Step-by-step explanation:

2x+3=13

x=5

A=D → x=5

Answer:

slope = 1/3 , y-int = -5

Step-by-step explanation:

y = mx + b

hope this helps!

Given:

\(\angle BAC\cong \angle DAC, \angle DCA\cong \angle BCA\)

To prove:

\(\overline{BC} \cong \overline{CD}\)

Solution:

The two-column proof is:

Statement                                        Reason

1. \(\angle BAC\cong \angle DAC\)                            1. Given

2. \(\angle BCA\cong \angle DCA\)                           2. Given

3. \(\overline{AC} \cong \overline{AC}\)                                      3. Common side

4. \(\Delta ABC\cong \Delta ADC\)                          4. ASA congruent postulate

5. \(\overline{BC} \cong \overline{CD}\)                                     5. CPCTC

Hence proved.

Answer:

Which equations..? There is nothing there

Step-by-step explanation:

slope y intercept

1. -1. 3

2. 1/3. -3

3. 5. -10

4. 3. -6

5. 1/2. 2

Answer:

$39.33, including sales tax.

Step-by-step explanation:

9.25% of 36 = 3.33

36 + 3.33 = 39.33

$39.33

Answer:

39.30$(Remember to add the dollar sign and 0 in the decimals place, just write it as I did)

Step-by-step explanation:

36*0.0925=3.33

3.33 is tax

rounded to nearest tenth is 3.3

36+3.3=39.3

make it into money form

39.30$

Answer:

Step-by-step explanation:

Write a situation in which positive and negative numbers are used to describe values that have opposite meaning. What does 0 represent in this situation you created?

Answer:

100/21

Step-by-step explanation:

1. Chicken became the key product that drove the creation of the Interstate Highway System, which led to the dominance of American trucks in the US truck market.

2. A party may want to impose a tariff to protect domestic industries from foreign competition or to generate revenue for the government.

3. A party is usually trying to protect domestic industries, but a tariff on automobiles would hurt both domestic consumers who would pay higher prices and foreign producers who would face reduced demand.

4. Competition encourages innovation by providing incentives for companies to improve their products and services to stay ahead of their rivals; American trucks stayed the same because they faced little competition due to protectionist policies.

5. Foreign companies tried to get around American-imposed tariffs on automobiles by establishing factories in the US, forming joint ventures with American companies, or exporting through third countries.

6. The methods used to get around tariffs can be efficient in the short term, but they may not be sustainable or desirable in the long term as they can lead to trade imbalances and undermine the competitiveness of domestic industries.

7. Tariffs can be used as a bargaining chip to negotiate better trade deals, but they should be imposed judiciously and only as a last resort to avoid damaging the economy and harming consumers.

1. In the podcast, chicken is cited as the reason why American trucks dominate the truck market in the United States.

This is because in the 1960s, the government imposed regulations on the trucking industry that limited the amount of weight a truck could carry.

To get around these regulations, the industry started using smaller trucks to transport goods, which were often not strong enough to handle the weight.

However, they found that if they put chicken on the back of the trucks, the weight of the cargo would distribute more evenly and the smaller trucks could handle the load.

This led to the development of the modern pickup truck, which is now a staple of the American automobile market.

2. Parties may want to impose tariffs for various reasons, such as to protect domestic industries and jobs from foreign competition, to raise revenue for the government, or to level the playing field in international trade.

Two specific reasons for imposing tariffs could be to protect national security interests or to address unfair trade practices by other countries.

3. Tariffs are usually imposed to protect domestic industries and jobs, and the parties that are being protected are typically the producers of the goods or services in question.

However, tariffs can also harm consumers who may have to pay higher prices for imported goods or may have fewer choices in the marketplace. For example, if a tariff is imposed on automobiles, domestic car manufacturers may benefit, but consumers may have to pay more for cars, and foreign automakers may lose market share.

4. Competition encourages innovation by creating incentives for companies to improve their products or services to gain a competitive advantage.

In the case of American trucks, the lack of competition may have contributed to their lack of innovation over the years. Since they dominated the market, there was little pressure to improve or innovate, and as a result, they have largely stayed the same.

However, the rise of foreign competition in recent years has led American truck manufacturers to invest more in innovation to stay competitive.

5. Foreign companies have tried to get around American-imposed tariffs on automobiles in various ways, such as by moving production to countries not subject to the tariffs, by exporting parts and assembling them in the United States, or by lobbying the government for exemptions or tariff reductions.

6. The methods used by foreign companies to get around tariffs may not be efficient for the economy as a whole because they can lead to higher costs and inefficiencies in the supply chain.

However, they may be necessary for individual companies to remain competitive in the short term.

Ultimately, a more efficient solution would be to address the root causes of the trade imbalances that lead to tariffs in the first place.

7. A tariff can be used as a bargaining chip by threatening to impose tariffs on imports from a country unless they make concessions in trade negotiations.

While this can be an effective strategy in certain situations, it can also lead to a trade war and harm both economies.

In general, tariffs should be used sparingly and as a last resort, and efforts should be made to address underlying trade issues through diplomacy and negotiation.

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Answer:

The product of their ages is 36

The sum of the girls age is 13

two sister=?

13 by 36

26

Answer: 1.72

Step-by-step explanation:

Answer:

It's "P"

Step-by-step explanation: Please give me my 15 points

Answer:

X= 60º

Step-by-step explanation:

If you are solving for a ∆, a ∆ has a degree of 180º. This thus when added up gets you.

81º + 39º = 120º

180º - 120º = 60º

Therefore in conclusion, X would be 60º.

The domain and the range of the function are given as follows:

Hence the domain and the range of the function are given as follows:

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Answer:

month 4

Step-by-step explanation:

I took the test

Answer:

Its month 4 on edge.

Step-by-step explanation:

9 / 10 = Total Price: 1.90

2 = Total Price: 3.00

3 1 / 10 = Total Price: 4.10

10 = Total Price: 11.00

The function you're referring to is likely a periodic function, as Fourier series expansions are typically used for periodic functions.

The convergence of the Fourier series expansion depends on the properties of the function, such as its continuity and differentiability.

If the function is continuous and piecewise smooth, then the Fourier series will converge to the function itself.

However, if the function is not continuous or not piecewise smooth, then the Fourier series may not converge uniformly.

In some cases, the Fourier series may converge to a different function altogether, known as a Fourier series of the function.

Therefore, to determine the value at which the Fourier series converges, you would need to analyze the properties of the function itself.

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