What is the answer:
6x-12=

To find the arc length for the curve y = 3x² − (1/24) ln x with the starting point p0(1, 3), we need to integrate the expression √(1 + (dy/dx)²) with respect to x over the desired interval. The resulting value will give us the arc length of the curve.

To find the arc length, we need to integrate the expression √(1 + (dy/dx)²) with respect to x over the given interval. In this case, the given function is y = 3x²− (1/24) ln x. To compute the derivative dy/dx, we differentiate each term separately. The derivative of 3x² is 6x, and the derivative of (1/24) ln x is (1/24x). Squaring the derivative, we get (6x)² + (1/24x)².

Next, we substitute this expression into the arc length formula:

∫√(1 + (dy/dx)²) dx. Plugging in the squared derivative expression, we have ∫√(1 + (6x)² + (1/24x)²) dx. To evaluate this integral, we need to employ appropriate integration techniques, such as trigonometric substitutions or partial fractions.

By integrating the expression, we obtain the arc length of the curve between the starting point p0(1, 3) and the desired interval. The resulting value represents the distance along the curve between these two points, giving us the arc length for the given curve.

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The distance between two locations on the same line of latitude can be calculated by summing the total distance between the points in degrees and multiplying it by the statute miles per degree for the shared line of latitude.

To calculate the distance in miles between two locations on the same line of latitude, we first need to find the total distance between the points in degrees. In the case of location A, which is 60°N, 30°W, and location B, which is 60°N, 50°E, the total distance between the two points is 80 degrees (50°E - 30°W).

Next, we need to multiply the sum of the degrees by the statute miles per degree for the shared line of latitude. Since the line of latitude is 60°N, we need to determine the statute miles per degree at that latitude.

The Earth's circumference at the equator is approximately 24,901 miles, and since a circle is divided into 360 degrees, the distance per degree at the equator is approximately 69.17 miles (24,901 miles / 360 degrees).

Multiplying the total distance in degrees (80 degrees) by the statute miles per degree (69.17 miles), we find that the distance between the two locations is approximately 5,533.6 miles.

Similarly, for location C, which is 30°S, 60°W, and location D, which is 30°S, 90°E, the total distance between the points is 150 degrees (90°E - 60°W). Since the line of latitude is 30°S, we use the same statute miles per degree value (69.17 miles).

Multiplying the total distance in degrees (150 degrees) by the statute miles per degree (69.17 miles), we find that the distance between the two locations is approximately 10,375.5 miles.

Therefore, the distance between locations A and B is approximately 5,533.6 miles, and the distance between locations C and D is approximately 10,375.5 miles, when calculated using the given method.

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Answer:

Step-by-step explanation:

a-6

b-165-240

c-165

d-182 and 152

e-174

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76 degrees and 47 degrees?

Answer:

18.41

Step-by-step explanation:

We want to solve for x (adjacent) with given measurement and hypotenuse. Set up the equation of cosine:

\(\displaystyle{\cos 64^{\circ} = \dfrac{x}{42}}\)

We know that cosine is adjacent to hypotenuse so that's how we set up the equation above. Then solve for x:

\(\displaystyle{42\cos 64^{\circ} = x}\\\\\displaystyle{18.41=x}\)

Therefore, x = 18.41

The average speed during her drive that morning would be 43.5 miles/hr.

What is Average Speed?

Calculating average speed involves dividing the whole distance traveled by the total time it took to cover that distance.

Explanation:

Time = 24 min = 0.4 hr

Entire way = 0.6 + 15.4 + 1.4

                  = 17.4 miles

\(Average \ speed = \frac{Distance}{Time}\\\\Average \ speed = \frac{17.4}{0.4} \\\\Average \ speed = 43.5 miles/hr\)

Hence, The average speed during her drive that morning would be 43.5 miles/hr.

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Based on the given graph, the function that must represent this graph is D. F(x)=[1/2x]+2.

The graph shows that it has a y-intercept of 2 which means that the line crosses the y-axis at 2.

The y-intercept in a linear equation is represented as c:

= mx + c

As seen from the options, the only function that has a y-intercept of 2 is the last option of F(x)=[1/2x]+2.

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Answer:

Let me try...

Step-by-step explanation:

let's combine like terms first to simplify the equation

we need to only combine the variables with the same variable.

3a+5a would make 8a

and 4b+10b would be 14b

but we cannot combine 8a and 14b

so the equation remains as 8a+14b

Final Answer: \(8a + 14b\)

Steps/Reasons/Explanation:

Question: Simplify \(3a + 4b + 5a + 10b\).

Step 1: Collect like terms.

\((3a + 5a) + (4b + 10b)\)

Step 2: Simplify.

\(8a + 14b\)

~I hope I helped you :)~

Answer:

Step-by-step explanation:

so go to the f g c and multiply my 6

In the word problem , the price is maximum at C)11:00 pm.

What is word problem?

Word problems are often described verbally as instances where a problem exists and one or more questions are posed, the solutions to which can be found by applying mathematical operations to the numerical information provided in the problem statement. Determining whether two provided statements are equal with respect to a collection of rewritings is known as a word problem in computational mathematics.

Here according to the question ,

time = 0 hours which is 12:00 pm

Now in the given diagram at 2:00 pm price is $20000

=>At 5:00 pm price is $10000

=>At 8:00 pm price is $25000

=>At 10:00 pm price is $30000

=>At 11:00 pm price is $35000

Hence the price is maximum at C)11:00 pm.

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Answer:

\(\sin 105^{\circ} = \frac{\sqrt{6}+\sqrt {2}}{4}\)

Step-by-step explanation:

We can use the following trigonometrical identity:

\(\sin (\alpha - \beta) = \sin \alpha \cdot \cos \beta - \cos \alpha \cdot \sin \beta\) (1)

Where \(\alpha\), \(\beta\) are angles, measured in sexagesimal degrees.

If we know that \(\alpha = 135^{\circ}\) and \(\beta = 30^{\circ}\), then the value of the given function is:

\(\sin 105^{\circ} = \sin 135^{\circ}\cdot \cos 30^{\circ} - \cos 135^{\circ}\cdot \sin 30^{\circ}\)

\(\sin 105^{\circ} = \left(\frac{\sqrt{2}}{2} \right)\cdot \left(\frac{\sqrt{3}}{2}\right)-\left(-\frac{\sqrt{2}}{2} \right)\cdot \left(\frac{1}{2}\right)\)

\(\sin 105^{\circ} = \frac{\sqrt{6}}{4}+\frac{\sqrt{2}}{4}\)

\(\sin 105^{\circ} = \sqrt{\frac{6}{16} }+\sqrt{\frac{2}{16} }\)

\(\sin 105^{\circ} = \sqrt{\frac{3}{8} }+\sqrt{\frac{1}{8} }\)

\(\sin 105^{\circ} = \frac{\sqrt{3}+1}{2\cdot \sqrt{2}}\)

\(\sin 105^{\circ} = \frac{\sqrt{6}+\sqrt {2}}{4}\)

Answer: D) sqrt(2 + sqrt3)/2

Step-by-step explanation: Nah

Answer:

24 rows

Step-by-step explanation:

348 divided by 16 is 24. Hope this helps!

Answer:

24

Step-by-step explanation:

You divide 384 seats and 16 rows. (348/16=24)

I'll trade you a gun for a brainiest! Lol

⌐╦╦═─

Answer:

Tommy is 14 years old.

Step-by-step explanation:

14+5=19

Jack is 19 years old.

14+19=33

Hope this helps!

\(\huge\mathcal {♨Answer♥}\)

\(\large\texttt{Let's get Jack's age as x}\)

\(\large\texttt{So Tommy's age is x-5}\)

( x - 5 ) + x = 33

2x - 5 = 33

2x = 33 + 5

2x ÷ 2 = 38 ÷ 2

x = 19

So Jack's age is 19

Then,

Tommy's age is = x - 5

= 19 - 5

= 14

☆...hope this helps...☆

_♡_mashi_♡_

Answer:

D. (x - 3)(x - 1)

Step-by-step explanation:

Factor the following:

\( \longrightarrow \) x² - 4x + 3

The factors of 3 that sum to -4 are -1 and -3.

So,

\( \longrightarrow \) x² - x - 3x + 3

\( \longrightarrow \) x(x - 1) - 3(x - 1)

\( \longrightarrow \) (x - 3)(x - 1)

Answer:

180 degrees since only two opposite sides are congruent in a rect, which would require you to flip it 180 degrees for it to map onto itself

Answer:  180 degrees

Imagine you had a long and flat rectangle. If we spin it around the center, we can rotate it 180 degrees so it lines up with its original image. The before and after is the same. We say it has rotational symmetry, and the angle of rotation is 180 degrees. This is the smallest rotational angle possible for rectangles that aren't squares.

Answer:

8 in

Step-by-step explanation:

Area of a square = l×w

Since it is a square then l and w are equal to each other.

So we can instead just say l^2 = A

l^2 = 68.2

l = square root of 68.2

l = 8.26

The absolute value of x=5 is 5.

The absolute value of a number is its positive equivalent of the number

For instance, the absolute value of -5 is 5 and the absolute value of 5 is also 5.

Generally, it is denoted by the symbol |x|.

So, we have

The absolute value of x=5

This gives

x = |5|

Evaluate

x = 5

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For this question,

matrix A is given as A = [D; -3], which can be represented as:

A = | D -3 |

To answer your question, let's go step by step through (a) to (d):

(a) To find the general solution x' = Ax, we first find the eigenvalues (λ) and eigenvectors (v) of matrix A. Since this is a 1x2 matrix, it does not have eigenvalues or eigenvectors. Therefore, we cannot find a general solution for x' = Ax in this case.

(b) Since we cannot find eigenvalues for this matrix, it is not possible to classify the stability of equilibrium solutions.

(c) For a system of differential equations to have straight-line solutions, it needs to be a 2x2 matrix with real eigenvalues. As A is a 1x2 matrix, it does not have any straight-line solutions.

(d) Unfortunately, as this is not a square matrix, it's not possible to create a direction field or sketch trajectories for this system.

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The inequality will be 3.70x ≤ 145 and the number of items that you can by is  x ≤ 39

Total budget that you have = $145

The price of each item = $3.70

Consider the number of items = x

The inequality will be

3.70x ≤ 145

We have to solve the inequality to find the number of items

3.70x ≤ 145

Divide 3.70 on the both side of the inequality

3.70x / 3.70 ≤ 145 / 3.70

x ≤ 39.18

x ≤ 39

The number of items that you can buy is x ≤ 39

Hence, the inequality will be 3.70x ≤ 145 and the number of items that you can by is  x ≤ 39

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When we add up all of the values that would go through the center of the clock, the value that we would get is 0

The reason for this is because the vectors would make a  circular distribution around the clock face. All of the values have equal magnitude but an opposing direction  when we compare this to the vector that is on the opposite side of the closck face.

An example of this is that :

12:00 is made of equal magnitude but the opposite direction when compared to  6:00. This would be the same fro the pairs 1:00 and 7:00, 2:00 and 8:00.

Hence all of these would cancel out and would be 0

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Answer:

-2.5, or -2 1/2

Step-by-step explanation:

This one is much easier than it looks...Let's take each part of the equation step-by-step:

(-1): Parenthesis are not needed here, so we can simplify it to just -1

+(-1 1/2): This one looks tricky but remember that a positive and negative equals a negative, so this can be simplified to -1 1/2, or -1.5

Let's put these together now!
-1-1.5 = -2.5, or -2 1/2

Using the normal distribution, it is found that there is a 0.0013 = 0.13% probability that the mean weight of 25 pods of coffee is less than 42.035 grams.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters are given as follows:

\(\mu = 42.05, \sigma = 0.025, n = 25, s = \frac{0.025}{\sqrt{25}} = 0.005\)

The probability that the mean weight of 25 pods of coffee is less than 42.035 grams is the p-value of Z when X = 42.035, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{42.035 - 42.05}{0.005}\)

Z = -3

Z = -3 has a p-value of 0.0013.

0.0013 = 0.13% probability that the mean weight of 25 pods of coffee is less than 42.035 grams.

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Identify the equation: Write down the given equation in the form |x - a| = b, where 'a' represents the number being subtracted or added and 'b' represents the absolute value.

Graphing absolute value equations on a number line is a process that involves several steps. First, you need to identify the equation and rewrite it in the form |x - a| = b, where 'a' represents the number being subtracted or added and 'b' represents the absolute value.

This form helps determine the critical points of the graph. Next, you set the expression inside the absolute value bars equal to zero and solve for 'x' to find the critical points. These points indicate where the graph may change direction. Once the critical points are determined, you plot them on the number line, using an open circle for critical points and a closed circle for any additional points obtained by adding or subtracting the absolute value.

After plotting the points, you can draw the graph by connecting them with a solid line for the portion of the graph that is positive and a dashed line for the portion that is negative. This representation helps visualize the behavior of the absolute value equation on the number line.

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Answer

Step-by-step explanation:

Law of sines: SinB/15 = SinA/BC

B = 90

A = 180-90-21=69°

BC= (15*SinA)/SinB = (15*sin69)/1 ≈ 14m

By using the concept of cryptography, it can be concluded that

A solution that is now widely used to allow two parties to secretly exchange keys is Deffie - Hellman protocol

What is cryptography?

Cryptography refers to secure information and communication techniques derived from mathematical concepts and a set of rule-based calculations called algorithms, to transform messages in ways that are hard to decipher.

This is a concept of Cryptography

Diffie–Hellman key exchange establishes a shared secret between two parties which will be used for secret communication for exchanging data over a public network.

A solution that is now widely used to allow two parties to secretly exchange keys is Diffie - Hellman protocol

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The total cost before the sales tax was 19.828 pounds.

For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.

We have to determine the total cost before sales tax.

As per the question, we have prices as:

cost of turkey = 3.95 per pound

cost of egg cheese = 1.3 per pound

cost of egg salad = 0.89 per pound

The total cost of turkey = 3.8 × 3.95  = 15.01 pounds

The total cost of cheese = 2.2 × 1.3 = 2.86 pounds

The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds

The total cost before sales tax = 15.01 + 1.958 +2.86

Apply the addition operation, and we get

The total cost before sales tax = 19.828 pounds

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The question seems to be incomplete the correct question would be:

Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?

Answer:

The equation that represents the distance left to hike is: \(y = 1600 - 200*x\)

The time it'll take to hike 1600 ft is: x = 8 h

Step-by-step explanation:

Since Joan hikes 600 ft every 3 hours, then her average speed is given by:

\(v_{avg} = \frac{600}{3} = 200\text{ }\frac{\text{ft}}{\text{h}}\)

Since she wants to cover 1600 feet, then the equation that represents the distance left to hike is:

\(y = 1600 - 200*x\)

The time it'll take to hike 1,600 feet is the time it'll take for y = 0, because at that point the distance left to hike is equal to zero.

\(0 = 1600 - 200*x\\200*x = 1600\\x = \frac{1600}{200} = 8 \text{ h}\)

Answer:

y=200x. it will take joan 8 hours to hike 1600 ft.

Step-by-step explanation: Hope This Helps :)

The points that must lie on the same quadrant are given as follows:

(p, q) and (2p, 2q).

When an integer is multiplied by 2, it's signal remains the same, hence the points that must lie on the same quadrant are given as follows:

(p, q) and (2p, 2q).

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Answer:

B. (p, q) and (2p, 2q) (correct)

Step-by-step explanation:

Question being asked: If p and q are nonzero integers, which pair of points must lie in the same quadrant?

(p, q) and (q, p) (incorrect)

(p, q) and (2p, 2q) (correct)

(p, q) and (–p, –q)(incorrect)

(p, q) and (p – 2, q – 2)(incorrect)

Hope this helps you :)

Answer:

value = 8

Step-by-step explanation:

when a paired-samples t test is used by this researcher we will write out the hypothesis as follows

H0: μd ≤ 8  ( null )

Ha: μd >  8 ( alternate )

Given the above Hypothesis

If a paired-sample T test is used by the researcher  the value that would be at the center of the comparison will be 8

Answer:

i think its D

Step-by-step explanation: