Help me I need the answer ASAP I’ll give brainliest

To convert a system of differential equations, we differentiate the second equation with respect to the independent variable and substitute for the derivative of the first equation.

Consider a system of differential equations in the form:

\(\frac{dx}{dt}\) = f(t)

\(\frac{dy}{dt}\) = g(t)

To convert this system into a second-order differential equation, we differentiate the second equation with respect to t:

\(\frac{d^{2} y}{dt^{2} }\) = g'(t)

Next, we substitute for \(\frac{dy}{dt}\) from the first equation:

\(\frac{d^{2} y}{dt^{2} }\)  = g'(t) = g'(x)

We now have a second-order differential equation in terms of x. By solving this equation, we can find the second derivative of y as a function of x.

To calculate the values of x at which certain conditions are satisfied, such as y = 0 and \(\frac{dy}{dt}\) = 0, we need additional information or initial/boundary conditions. Without specific conditions, it is not possible to find the exact values of x that satisfy these conditions.

Therefore, without further information, we cannot determine the specific values of x and y that satisfy the conditions y = 0 and \(\frac{dy}{dt}\) = 0. Additional conditions or information are necessary to obtain specific values.

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The maximum height of the fireworks using the equation h=-4.6t^2+27.6t+33.6 is 75 meters.

Identifying the coefficients a, b, and c from the given quadratic equation.
a = -4.6, b = 27.6, and c = 33.6

Calculating the t-value of the vertex using the formula t = -b / (2 × a)
t = -27.6 / (2 × (-4.6)) = 27.6 / 9.2 = 3

Now, plugging in the t-value back into the equation to find the maximum height.
h = -4.6(3)^2 + 27.6(3) + 33.6

  = -4.6(9) + 82.8 + 33.6

  = -41.4 + 82.8 + 33.6

  = 75

The maximum height of the fireworks is 75 meters.

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Step-by-step explanation:

Hi There! Let me help you :)

To answer this question, we have to know about the way to simplify it. First, you find the factor of 48.

\( = {48}^{ \frac{1}{2} } \)

\( = {(16 \times 3)}^{ \frac{1}{2} } \)

\( = {16}^{ \frac{1}{2} } \times {3}^{ \frac{1}{2} } \)

\( \: \)

—Use the general formula of the exponential, where a^m/n = ^n√a^m.

\( \: \)

\( = {16}^{ \frac{1}{2} } \times {3}^{ \frac{1}{2} } \)

\( = \sqrt[2]{16} \times {3}^{ \frac{1}{2} } \)

\( = 4 \times {3}^{ \frac{1}{2} } \)

The answer is C.

Answer:

2/3

Step-by-step explanation:

Let n = the repeating, non-terminating number 0.666...

We now have n = 0.666666...

We want the number n in the form of a fraction.

Since only 1 digit repeats, the 6, use a 1 followed by 1 zero, which means the number 10. Now multiply both sides by 10 and write the original equation below it.

10n = 6.666666...

   n = 0.666666...

Subtract the bottom equation from the top equation.

9n = 6

n = 6/9

n = 2/3

(a) tangent line to the graph of f(x) = x^3 at the point (4,2).

(b) equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12).

(a) To find the equation of the tangent line to the graph of f(x) = x^3 at the point (4,2), we need to find the slope of the tangent line at that point. We can do this by taking the derivative of f(x) with respect to x and evaluating it at x = 4. The derivative of f(x) = x^3 is f'(x) = 3x^2. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Once we have the slope, we can use the point-slope form of a linear equation to write the equation of the tangent line.

(b) Similarly, to find the equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12), we differentiate f(x) to find the derivative f'(x). The derivative of f(x) = x^2 - x is f'(x) = 2x - 1. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Using the point-slope form, we can write the equation of the tangent line.

In both cases, the equations of the tangent lines will be in the form y = mx + b, where m is the slope and b is the y-intercept.

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Answer:

y-5=3/7(x-3)

Step-by-step explanation:

the 3/7 is a fraction

Answer:

ill help

Step-by-step explanation:

The formula to find the radius (r) of a circle when you know the circumference (C) is r = C/(2π).

The formula presented derived from the formula for the circumference of a circle, which is C = 2πr. By rearranging the equation and isolating the radius (r) on one side, we get r = C/(2π).

So, if the circumference (C) of a circle is 18 centimeters, you can use the formula r = C/(2π) to find the radius (r). Plugging in the given value for the circumference (C), we get:

r = 18/(2π)

Simplifying the equation gives:

r = 9/π

Therefore, the radius (r) of the circle is 9/π centimeters.

In conclusion, the formula you can use to find the radius (r) of a circle when you know the circumference (C) is r = C/(2π).

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Answer:

a) Using a calculator, the exact value of 13822 x 62314 is 861,038,108.

b) To check if the answer in part a) makes sense using approximations to 1 significant figure, we round 13822 to the nearest 10,000 and 62314 to the nearest 60,000.

Approximation: 10,000 x 60,000 = 600,000,000

The approximation gives us 600 million, which is in the same order of magnitude as the exact answer of 861,038,108. Therefore, the answer in part a) appears to make sense based on the approximation.

Step-by-step explanation:

Answer: 3x+10. (If you get a membership.)

X= amount of games bought.                                                                

So, your equation you have is y = 5x + 253.

They want to know how many total pieces you will have to put together after 45 more minutes.

So, you'll want to insert 45 in for x in the equation. Like so:

y = 5(45) + 253

Now you solve:

y = 225 + 253

y = 478

So this means you will have 478 pieces put together after another 45 minutes. There are 2573 pieces total, yes?

So, you do 2573-478

This equals = 2,095

So this means you'll still have 2,095 pieces to put together. Whew!

Answer:

  5.25 m

Step-by-step explanation:

A diagram can help you understand the question, and can give you a clue as to how to find the answer. A diagram is attached. The problem can be described as finding the sum of two vectors whose magnitude and direction are known.

__

In navigation problems, direction angles are specified a couple of different ways. A bearing is usually an angle in the range [0°, 360°), measured clockwise from north. In land surveying and some other applications, a bearing may be specified as an angle east or west of a north-south line. In this problem we are given the bearing of the second leg of the walk as ...

  N 35° E . . . . . . . 35° east of north

Occasionally, a non-standard bearing will be given in terms of an angle north or south of an east-west line. The same bearing could be specified as E 55° N, for example.

A vector is a mathematical object that has both magnitude and direction. It is sometimes expressed as an ordered pair: (magnitude; direction angle). It can also be expressed using some other notations;

In the latter case, "cis" is an abbreviation for the sum cos(θ)+i·sin(θ), where θ is the direction angle.

Sometimes a semicolon is used in the polar coordinate ordered pair to distinguish the coordinates from (x, y) rectangular coordinates.

__

The first leg of the walk is 3 meters due north. The angle from north is 0°, and the magnitude of the distance is 3 meters. We can express this vector in any of the ways described above. One convenient way is 3∠0°.

The second leg of the walk is 2.5 meters on a bearing 35° clockwise from north. This leg can be described by the vector 2.5∠35°.

The final position is the sum of these two changes in position:

  3∠0° +2.5∠35°

Some calculators can compute this sum directly. The result from one such calculator is shown in the second attachment:

  = 5.24760∠15.8582°

This tells you the magnitude of the distance from the original position is about 5.25 meters. (This value is also shown in the first attachment.)

__

You may have noticed that adding two vectors often results in a triangle. The magnitude of the vector sum can also be found using the Law of Cosines to solve the triangle. For the triangle shown in the first attachment, the Law of Cosines formula can be written as ...

  a² = b² +o² -2bo·cos(A) . . . . where A is the internal angle at A, 145°

Using the values we know, this becomes ...

  a² = 3² +2.5² -2(3)(2.5)cos(145°) ≈ 27.5373

  a = √27.5373 = 5.24760 . . . . meters

The distance from the original position is about 5.25 meters.

_____

Additional comment

The vector sum can also be calculated in terms of rectangular coordinates. Position A has rectangular coordinates (0, 3). The change in coordinates from A to B can be represented as 2.5(sin(35°), cos(35°)) ≈ (1.434, 2.048). Then the coordinates of B are ...

  (0, 3) +(1.434, 2.048) = (1.434, 5.048)

The distance can be found using the Pythagorean theorem:

  OB = √(1.434² +5.048²) ≈ 5.248

Answer:

Mrs. Sigmon

Step-by-step explanation:

Mrs. Sigmon 480/3= 150 seconds/lap

Mrs. Huss  500/4= 125 seconds/lap

Mrs. Leatherman 230/2 =115 seconds/lap

1) A discontinuous function with a jump at x = -2, a vertical asymptote at x = 1, and a hole at x = 3 is f(x) = 1 for x < -2, f(x) = 1/(x-1) for -2 < x < 1, and f(x) = x-3 for x > 1. 2) The constant c that makes the function continuous on (-∞, ∞) is c = -3/5. 3) The function f(x) = 4x² - 3x³ + 2x² + x - 1 has at least one real root on the interval [-0.6, -0.5] based on the sign difference between f(-0.6) and f(-0.5).

For question 1:

A function that satisfies the given conditions is:

f(x) =

1, x < -2 (discontinuity caused by a jump)

1/(x-1), -2 < x < 1 (discontinuity caused by a vertical asymptote)

x-3, x > 1 (discontinuity caused by a hole)

For question 2:

To make the function continuous on the interval (-∞, ∞), we need the limit of f(x) as x approaches -1 from the left to be equal to the value of f(x) as x approaches -1 from the right. Setting up the equation:

lim (x→-1-) f(x) = lim (x→-1+) f(x)

cr¹ + 7c(-1)³ + 2 = 4c - (-1)² - cr

c + 7c + 2 = 4c - 1 - c

8c + 2 = 3c - 1

5c = -3

c = -3/5

For question 3:

To show that the equation f(x) = 4x² - 3x³ + 2x² + x - 1 has at least one real root on the interval [-0.6, -0.5], we need to find the values of f(-0.6) and f(-0.5) and show that their signs are different. Evaluating the function:

f(-0.6) = 4(-0.6)² - 3(-0.6)³ + 2(-0.6)² + (-0.6) - 1 ≈ -0.984

f(-0.5) = 4(-0.5)² - 3(-0.5)³ + 2(-0.5)² + (-0.5) - 1 ≈ -0.781

Since f(-0.6) is negative and f(-0.5) is also negative, and the signs are different, we can conclude that there is at least one real root in the interval [-0.6, -0.5].

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Answer: x=4/3

Step-by-step explanation:

3x-2=2

3x=2+2

3x=4

x=4/3

The population of your friend's town is 300,000 if the population of your town is about 30,000.

To solve this problem, we can use the fact that if one quantity is a fraction of another quantity, we can multiply or divide the given quantity by that fraction to find the other quantity. In this case, we know that the population of your town is 1/10th of your friend's town's population, so we can multiply your town's population by 10 to get your friend's town's population.

If the population of your town is about 30,000, and it's about 1/10 the population of your friend's town, we can calculate your friend's town's population by multiplying your town's population by 10.

So, the population of your friend's town is

30,000 x 10 = 300,000

Therefore, your friend's town has a population of about 300,000.

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Answer:

Step-by-step explanation:

(-4 - 4)/(3 - 1)= -8/2= -4

y - 4 = -4(x - 1)

y - 4 = -4x + 4

y = -4x + 8

answer is option 1

Answer: 1.11

Step-by-step explanation:

To find the range of the data set all you have to do is subtract the higher number with the lowest number, so in this math problem, we will take 1.75- 0.64 and we get 1.11 :]

Regarding the cylindrical designs, it is recommended that Kevin choose the first design, which takes around 108.35 square inches of plastic. Kevin does not have enough plastic to build the second design since it needed around 431.97 square.

Here we used the surface area formula for cylinders.

Surface Area = 2πr² + 2πrh

R is the base and h is the height.

For First Design we have

Diameter (d) = 2r = 3

so r = 1.5

So Surface Area = 2π(1.5)² + 2π(1.5) (10)

SA First Cylinder = 108.35

Repeating the same step for the second cylinder we have:

SA 2ndCylinder = 431.97

Thus, the conclusion we have above is the correct one because:

108.35in² <  205in² > 431.97in²

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Answer: False

Step-by-step explanation:

Researchers typically report the adjusted R-squared value in addition to the regular R-squared value, not because they lack confidence in the actual R-squared, but because the adjusted R-squared provides additional information about the goodness of fit of a statistical model. The regular R-squared value measures the proportion of the variance in the dependent variable that is explained by the independent variables in the model. However, it can be biased and increase as more predictors are added to the model, even if the additional predictors do not contribute significantly to the prediction.

The adjusted R-squared, on the other hand, takes into account the number of predictors in the model and penalizes the addition of irrelevant predictors. It provides a more conservative measure of the goodness of fit by adjusting for the number of predictors and the sample size. Researchers often use the adjusted R-squared to evaluate and compare different models with varying numbers of predictors or to assess the overall explanatory power of a model while considering its complexity.

In summary, researchers report the adjusted R-squared value to address the limitations of the regular R-squared and to provide a more accurate assessment of the model's goodness of fit.

The midpoint of the segment is (7, 4).

According to the section formula-

If a point (x , y) divides a line in the ratio of m : n, where the two endpoints of the line are (x1, y1) and (x2, y2), then-

x = (nx1 + mx2)/ (m + n)

and y = (ny1 + my2)/ (m + n)

Here, we are given two points- (9, 6) and (5, 2)

Therefore,

x1 = 9, y1 = 6

x2 = 5, y2 = 2

Since, midpoint divides a line segment into two equal halves, m : n = 1 : 1

Now, substituting the values in the section formula we get-

x = (9 + 5)/2

x = 14/2

x = 7

and y = (6 + 2)/2

y = 8/2

y = 4

Thus, the midpoint of the segment is (7, 4).

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True. The statement "if the range of feasibility indicates that the original amount of a resource, which was 20, can increase by 5, then the amount of the resource can increase to 25" is true.

When a range of feasibility is given, the lower and upper bounds of the values that can be chosen for the variables in a linear programming problem are given. The range of feasibility reflects the range within which the optimum answer can be found. It is a parameter that measures the extent to which the variables can change and still allow the same optimal answer to be obtained. In this case, the range of feasibility suggests that the initial amount of a resource was 20 and could be increased by 5, implying that the total amount of the resource can be 25. Therefore, statement is true.

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Answer:

The domain of the function i.e. the value of x can be any real number and the range of the function is y > 0.

Step-by-step explanation:

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and curves up and increases in quadrant 1.

Therefore, as x tends to - ∞, the y-value tends to 0 but not equal to zero and as x tends to +∞, the y-value also tends to +∞.

Hence, the domain of the function i.e. the value of x can be any real number and the range of the function is y > 0. (Answer)

Answer:

A!

Step-by-step explanation:

open circle = the number it's on isn't an answer

the arrow is pointing left, the negative side so it's less than :)

The answer would be A. 7 Nickels

Answer:

0.02777777778 or 1/36

Step-by-step explanation:

1/9 divided by 4 = 0.02777777778 or 1/36

if the data is skewed or otherwise biased, the least squares line may not accurately represent the true relationship between the number of stories and building height.

The estimated height of a building with six stories would depend on the average height of each story, which can vary depending on the building's design and construction materials. However, a general rule of thumb is that each story in a building is typically between 10 and 14 feet in height, which would put a six-story building between 60 and 84 feet tall.

As for whether the least squares line gives an accurate estimate of height, that would depend on the data being used to generate the line. The least squares method is a statistical technique used to find the line of best fit for a set of data points, with the goal of minimizing the sum of the squared distances between each data point and the line.

If the data used to generate the line is representative of the population of buildings with six stories, then the least squares line should provide a reasonably accurate estimate of height. However, if the data is skewed or otherwise biased, the least squares line may not accurately represent the true relationship between the number of stories and building height. Therefore, it is important to carefully examine the data and consider potential biases before using the least squares method to make predictions.

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Answer:

18, 38, 39, 40, 42, 43, 44, 45

Median is 41

Mean is 39

I dont know the mode sorry

Step-by-step explanation: