What is the slope for y=200-5x

Aristotle taught that a speakers ability to persuade an audience is based on how well the speaker appeals to that audience in three different areas.

These are given below:

1) LOGOS

2)ETHOS ans

3)POTHOS

These considerd together,logos,ethos and pothos appeals from what later rhetoricians have called the rhetorical tringle.They are effective because rhetorical devices are used both in speech and writting,its purpose by stimulating emotional responses in the readers or listeners.

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Two point charges, q1 = 3.99 nC located at x = 0.205 m and q2 = 5.01 nC at x = -0.302 m, are placed on the x-axis. The electric field and direction at a given point can be calculated using the principle of superposition.

The electric field at a point due to a point charge is given by Coulomb's law, E = kq/r^2, where E is the electric field, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q is the charge, and r is the distance between the point charge and the point where the electric field is being measured. To calculate the net electric field at a point due to multiple charges, we use the principle of superposition, which states that the total electric field at a point is the vector sum of the electric fields due to each individual charge.

In this case, we have two charges, q1 = 3.99 nC and q2 = 5.01 nC. The electric field at a point P on the x-axis, due to q1, can be calculated as E1 = kq1/r1^2, where r1 is the distance between q1 and point P. Similarly, the electric field at point P due to q2 can be calculated as E2 = kq2/r2^2, where r2 is the distance between q2 and point P. To find the net electric field at point P, we add the electric fields vectorially, E_net = E1 + E2.

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To dilate a point at a point, you start by selecting a center of dilation and a scale factor.

Then, for each point that you want to dilate, you do the following:

For example, if you wanted to dilate point P by a scale factor of 2, with the center of dilation at O, you would draw a line segment from O to P, double its length, and then draw a new line segment from O to the new point, using the new length that you calculated. The new point would be the point that you arrive at when you complete this line segment.

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answer : 13

steps:

its asking

subtract 8 from 60 which is 56

subtract 10 from 75 which is 65

then its asking

find the largest number that can divide 56 and 65

that number is

13

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Answer:

5 × 2

Step-by-step explanation:

Multiplication is a simpler way of writing 'adding the same number multiple times'

Here you have added 5 2s together

So the answer is 5 times 2

Answer:

2x

Step-by-step explanation:

The estimated value of the machine after 4 years when the rate of depreciation dV/dt is inversely proportional to the square of t + 1 is $234,375.

Since the rate of depreciation is inversely proportional to the square of t + 1, we can write:

dV/dt = k / (t + 1)²

where k is the constant of proportionality. We can find k by using the initial value of the machine:

dV/dt = k / (t + 1)² = -100,000 / year when t = 0 (the first year)

Therefore, k = -100,000 * (1²) = -100,000.

To find the value of the machine after 4 years, we need to solve the differential equation:

dV/dt = -100,000 / (t + 1)

We can do this by separating variables and integrating:

∫dV / (V - 500,000) = ∫-100,000 dt / (t + 1)²

ln|V - 500,000| = 100,000 / (t + 1) + C

where C is the constant of integration.

We can find C by using the initial value of the machine:

ln|500,000 - 500,000| = 0 = 100,000 / (0 + 1) + C

Therefore, C = -100,000.

Substituting this value of C, we get:

ln|V - 500,000| = 100,000 / (t + 1) - 100,000

ln|V - 500,000| = -100,000 / (t + 1) + ln|e¹⁰|

ln|V - 500,000| = ln|e¹⁰ / (t + 1)²|

V - 500,000 = \(e^{10/(t + 1)²)}\)

V = \(e^{10/(t + 1)²)}\) + 500,000

Finally, we can estimate the value of the machine after 4 years by substituting t = 3:

V = \(e^{10/(3 + 1)²}\) + 500,000

V ≈ $234,375

Therefore, the correct answer is $234,375.

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An assumption made about the value of a population parameter is called a hypothesis.

What is null hypothesis?

In inferential statistics, the null hypothesis is that 2 possibilities are an equivalent. The null hypothesis is that the determined distinction is because of likelihood alone. mistreatment applied mathematics tests, it's doable to calculate the chance that the null hypothesis is true.

Main Body:

As we need to make an assumption about population , it could be done by using a hypothesis test. so , the incorrect options are identified below:

The confidence, significance and normal curve cannot be used to make the assumptions about the value of a population parameter.

Hence , An assumption made about the value of a population parameter is called a hypothesis.

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Answer:

24

Step-by-step explanation:

3 /2 ÷1/ 16

= 3 /2 ×16 /1

=  3 × 16 /2 × 1

= 48 /2

= 48 ÷ 2 /2 ÷ 2

= 24

The variable data refers to the list [10, 20, 30]. After the statement data[1] = 5, data evaluates to [10, 5, 30]. A list is one of the compound data types that Python provides. Lists can contain items of different types, but they are usually all the same type.

Lists are mutable sequences, meaning that their elements can be changed after they have been created. Lists can be defined in several ways, including by enclosing a comma-separated sequence of values in square brackets ([ ]).

The elements of a list can be accessed using indexing, with the first element having an index of 0. The second element has an index of 1, the third element has an index of 2, and so on. To change the value of an element in a list, you can use indexing with an assignment statement.

For example, the statement `data[1] = 5` changes the second element of the `data` list to 5. Therefore, after this statement, the `data` list will be `[10, 5, 30]`.

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Answer: 3/10

Step-by-step explanation:

Since the rest of the trees are pears trees and plum trees in the ratio of 7:5 and there are 175 plum trees, the number of pear trees will be:

= 175 ÷ 5/7

= 175 × 7/5

= 245

Plum trees = 175

Pear trees = 245

Apple trees = 600 - (175 + 245)

= 600 - 420

= 180

Fraction of apple trees = Number of apple trees / Total number of trees

= 180/600

= 3/10

Answer:

x < - 3 , x > 5

Step-by-step explanation:

The function is

• positive above the x- axis

• equal to zero on the x- axis

• negative below the x- axis

here the function is negative below the x- axis for

x < - 3 and x > 5

Answer:

1.80

Step-by-step explanation:

1.30x7=9.10

1270-910=360

2kg of apples - 3.60

360/2=180

We have proved that Angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

To prove that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, we can use the following steps:

Step 1: Join points A and C with a line segment. Let's label the point where AC intersects with line segment BD as point E.

Step 2: Since line segment AC is drawn, we can consider triangle ABC and triangle ADC separately.

Step 3: In triangle ABC, we have angle B + angle ABC + angle BCA = 180 degrees (due to the sum of angles in a triangle).

Step 4: In triangle ADC, we have angle D + angle ADC + angle CDA = 180 degrees.

Step 5: From steps 3 and 4, we can deduce that angle B + angle ABC + angle BCA + angle D + angle ADC + angle CDA = 360 degrees (by adding the equations from steps 3 and 4).

Step 6: Consider quadrilateral ABED. The sum of angles in a quadrilateral is 360 degrees.

Step 7: In quadrilateral ABED, we have angle BAD + angle ABC + angle BCD + angle CDA = 360 degrees.

Step 8: Comparing steps 5 and 7, we can conclude that angle B + angle BCD + angle D = angle BAD + angle ABC + angle ADC.

Step 9: Rearranging step 8, we get angle BCD = angle BAD + angle ABC + angle ADC.

Therefore, we have proved that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

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Given: Quadrilateral \(\displaystyle\sf ABCD\)

To prove: \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\)

Proof:

1. Draw segment \(\displaystyle\sf AC\) and extend it to point \(\displaystyle\sf E\).

2. Consider triangle \(\displaystyle\sf ACD\) and triangle \(\displaystyle\sf BCE\).

3. In triangle \(\displaystyle\sf ACD\):

4. In triangle \(\displaystyle\sf BCE\):

5. Since \(\displaystyle\sf \angle BCE\) and \(\displaystyle\sf \angle BCD\) are corresponding angles formed by transversal \(\displaystyle\sf BE\):

6. Combining the equations from steps 3 and 4:

Therefore, we have proven that in quadrilateral \(\displaystyle\sf ABCD\), \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

75%

Step-by-step explanation:

Because there  were 12 marbles and only 3 of them are orange so it is a 75% chance she won't pick one and a 25% chance she will.

Hope it helps Have a great afternoon:)

The correct test statistic for this hypothesis test is 3.21 or 0.2617

To determine the appropriate test statistic for this hypothesis test, we need to first state the null and alternative hypotheses.

In this case, the null hypothesis is that the population mean height of adult women is equal to 63 inches, while the alternative hypothesis is that the population mean height is greater than 63 inches.

Next, we can use the formula for a t-test to calculate the test statistic:

t = (sample mean - hypothesized mean)/(sample standard deviation/sqrt(sample size))

Plugging in the given values, we get:

t = (64.2 - 63)/(2.9√40) = 3.21 or 0.2617

Therefore, the correct test statistic for this hypothesis test is 3.21. or 0.2617

To determine whether this test statistic is statistically significant, we would need to compare it to a critical value from the t-distribution with 39 degrees of freedom (since we have a sample size of 40 and are estimating one parameter, the population mean). If the test statistic is greater than the critical value, we can reject the null hypothesis and conclude that the population mean height of adult women is greater than 63 inches at a given level of significance.

In summary, the correct test statistic for this hypothesis test is 3.21. To determine whether this test statistic is statistically significant, we would need to compare it to a critical value from the t-distribution with 39 degrees of freedom.

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Answer:

8b

Step-by-step explanation:

You can factor the b-term out since b-term exists for all terms in the expression. By factoring out, you are basically dividing the factored term off and put it outside of the bracket, thus:

\(\displaystyle{16b-8b=\left(16-8\right)b}\)

Then evaluate and simplify:

\(\displaystyle{\left(16-8\right)b=8\cdot b}\\\\\displaystyle{=8b}\)

a. The equation for the line tangent to the graph is W(0.4) ≈ 3 + 3(0.4) = 4.2°C.

b. The particular solution to the differential equation with the initial condition W(0) = 3 is W(t) = 3e^(3sin(t/2)).

c. To find the cost of operating the refrigerator for the 24-hour interval, an expression involving an integral would be ∫[0, 24] 0.001(W(t) - 20) dt.

a. To find the equation for the line tangent to the graph of W(t) at t = 0, we can find the derivative dW/dt and evaluate it at t = 0. We have dW/dt = 3cos(t/2)W. Evaluating it at t = 0 gives dW/dt = 3cos(0/2)W = 3W. This represents the slope of the tangent line. Using the point-slope form, we get the equation for the tangent line as W(t) ≈ 3 + 3t. Plugging in t = 0.4, we find W(0.4) ≈ 3 + 3(0.4) = 4.2°C as an approximation for the temperature inside the refrigerator at t = 0.4 hours.

b. To find the particular solution to the differential equation dW/dt = 3cos(t/2)W with the initial condition W(0) = 3, we can separate variables and integrate both sides. After solving the integral, we arrive at the particular solution W(t) = 3e^(3sin(t/2)).

c. The cost of operating the refrigerator accumulates at a rate of $0.001 per hour for each degree that the temperature in the kitchen exceeds the temperature inside the refrigerator. Let's denote the cost as C(t). To find the cost for the 24-hour interval, we need to calculate the accumulated cost over that period. This can be expressed as the integral of the rate of accumulation, which is 0.001 multiplied by the difference between the kitchen temperature (20°C) and the temperature inside the refrigerator W(t), integrated from t = 0 to t = 24. Thus, the expression involving an integral to find the cost of operating the refrigerator for the 24-hour interval is ∫[0, 24] 0.001(W(t) - 20) dt.

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Answer:

$52000.00

Step-by-step explanation:

formula= principal (1+(rate÷100))^years

500 (1+(4÷100))^1

500 (1+0.04)^1

500 (1.04)

520

$520.00

100 cents = $1

520×100

52000 cents

From the relationship between the distance and time, the rate of change is constant and represents a speed of 1120 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the initial value of y.

Let y represent the distance travelled by the bike after x minutes.

From the table:

Rate of change = (4480 - 1120) / (4 - 1) = 1120 ft/min

The rate of change is constant and represents a speed of 1120 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.

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Answer:

3/5 ÷ 5/6

3/5 × 6/5

3×6=18

5×5=25

18/25 is your answer

The Maclaurin series of f is  \(& \left|x^4 \cdot \frac{1}{1+\frac{1}{n}}\right|\). The radius of convergence R is 1.

Recollect that, the Maclaurin series for ln(1+x) is,

\($$\ln (1+x)=x-\frac{x^2}{2}+\frac{x^3}{3}-\frac{x^4}{4}+\ldots=\sum_{n=1}^{\infty} \frac{(-1)^{n+1} x^n}{n}$$\)

Replace x by \($x^4$\) to get, the Maclaurin series for \($\ln \left(1+x^4\right)$\),

\($$\begin{aligned}\ln \left(1+x^4\right) & =x^4-\frac{\left(x^4\right)^2}{2}+\frac{\left(x^4\right)^3}{3}-\frac{\left(x^4\right)^4}{4}+\ldots \\& =x^4-\frac{x^8}{2}+\frac{x^{12}}{3}-\frac{x^{16}}{4}+\ldots \\& =\sum_{n=1}^{\infty} \frac{(-1)^{n+1} x^{4 n}}{n}\end{aligned}$$\)

Find the Radius of Convergence by Ratio Test.

A series is convergent (or converges) if the sequence. of its partial sums tends to a limit; that means that, when adding one after the other in the order given by the indices, one gets partial sums that become closer and closer to a given number.

Let \($a_n=\frac{(-1)^{n+1} x^{4 n}}{n}$ $\left|\frac{a_{n+1}}{a_n}\right|=\left|\frac{(-1)^{n+2} x^{4 n+4}}{n+1} \cdot \frac{n}{(-1)^{n+1} x^{4 n}}\right|$\)

\($$\begin{aligned}& =\left|x^4 \cdot \frac{n}{n+1}\right| \\& =\left|x^4 \cdot \frac{1}{1+\frac{1}{n}}\right|\end{aligned}$$\)

\($$\begin{aligned}\lim _{n \rightarrow \infty}\left|\frac{a_{n+1}}{a_n}\right| & =\lim _{n \rightarrow \infty}\left|x^4 \cdot \frac{1}{1+\frac{1}{n}}\right| \\& =\left|x^4 \cdot \frac{1}{1+0}\right| \\& =\left|x^4\right|\end{aligned}$$\)

By Ratio Test, the given series convergence if \($\left|x^4\right| < 1$\), that is, \($|x| < 1$\).

Thus, the radius of convergence is R=1.

Therefore, the radius of convergence R is 1.

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39°

Try harder to achieve success

Answer: I believe it’s c

Step-by-step explanation:

Stay safe have a good day

Answer: i hope this will help you

a^x=y this is a simple equation

where as loga(in the base) y=x this is a logarithmic equation

Let us consider the breadth(B) of the rectangle to be x.

So now,

Length of Rectangle(L) = 2x-3

Perimeter of Rectangle = 2 (Length + Breadth) = 2(L+B)

So according to the question,

Perimeter = 2(L+B) = 24 feet

                     L + B   = 12 feet

                     2x - 3 + x = 12 feet

                     3x - 3 = 12 feet

                        3x = 12+3

                         x = 15/3

                          x = 5 feet = Breadth

So ,                   Length = 2x - 3 = 2x5 - 3 = 10 - 3 = 7 feet

Hence the length of the Rectangle is 7 feet.

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The probability that a person on the list, known to have a Mastercard, also has an American Express card is  50%.

To find the probability that a person on the list, known to have a Mastercard, also has an American Express card,  use conditional probability.

Let's denote the following probabilities:

P(M) represents the probability of having a Mastercard.

P(A) represents the probability of having an American Express card.

P(A|M) represents the conditional probability of having an American Express card given that the person has a Mastercard.

From the given information,

P(M) = 40% = 0.40 (40% of the people on the list have only a Mastercard).

P(A) = 10% = 0.10 (10% of the people on the list have only an American Express card).

P(M ∩ A) = 20% = 0.20 (20% of the people on the list have both Mastercard and American Express cards).

P(neither) = 30% = 0.30 (30% of the people on the list have neither card).

To find P(A|M), use the formula for conditional probability:

P(A|M) = P(M ∩ A) / P(M)

P(A|M) = 0.20 / 0.40

P(A|M) = 0.50

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Jose's dad wants to leave a rectangular flower bed in the middle of the garden measuring 2 feet by 8 feet. The total area of the garden is 225 square feet.

To find out how many square feet of surface area Jose's dad will lay cement, he needs to subtract the area of the flower bed from the total area of the garden.

The area of the flower bed is 2 x 8 = 16 square feet. Subtracting this from the total area of the garden, we get 225 - 16 = 209 square feet of surface area that Jose's dad will lay cement.

If each square foot of cement costs $3.16, then the total cost of the cement will be 209 x $3.16 = $661.24. Therefore, Jose's dad will need to spend $661.24 to lay cement in the seating area of the garden.

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An 8-sided polygon is called an octagon. The word "octagon" comes from the Greek words "okto," which means "eight," and "gonia," which means "angle."

An octagon is a two-dimensional shape that has eight straight sides and eight angles. All of the angles in an octagon add up to 1080 degrees, and each of the eight angles in a regular octagon (an octagon with equal side lengths and equal angles) measures 135 degrees.

Octagons are a common shape in geometry and can be found in a variety of applications, such as in architecture, art, and engineering. For example, many stop signs and traffic signals are octagonal in shape. In architecture, octagons are used in the design of buildings and rooms, and are often used to create interesting visual effects.

In summary, an 8-sided polygon is called an octagon, which is a two-dimensional shape with eight straight sides and eight angles.

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