More elaboration please.
solve the differential equation. (Hint: You should use integrati 37. dy 10x2 = dx V1+x3 10 a. y = V1 1+x3 + c b. y = x + 1 +C c. y = 10/1+ x3 + c V1 C + C 3 30 d. y = √1+x² e. None of the above F

Answer:

Step-by-step explanation:

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In an LRC circuit problem, the term "C" stands for capacitance (option b).

An LRC circuit consists of three primary components: an inductor (L), a resistor (R), and a capacitor (C). These components are connected in series, and the circuit allows the analysis of the behavior of electrical energy in the presence of these components.

The inductor (L) stores energy in the form of a magnetic field when current flows through it, while the resistor (R) dissipates energy in the form of heat as the current passes through it. The capacitor (C), on the other hand, stores energy in the form of an electric field as it holds a charge across its plates.

Capacitance is a measure of a capacitor's ability to store electrical energy per unit voltage. It is typically measured in farads (F). The capacitance of a capacitor is dependent on its physical properties, such as the surface area of its plates, the distance between the plates, and the dielectric material between the plates.

In an LRC circuit, the interplay of the inductor, resistor, and capacitor components creates a complex electrical behavior that depends on the circuit's characteristics and the applied voltage or current. The analysis of LRC circuits typically involves solving differential equations that describe the relationships between voltage, current, and the properties of the components.

In summary, the term "C" in an LRC circuit problem represents capacitance, which is a measure of a capacitor's ability to store electrical energy per unit voltage. The LRC circuit's behavior results from the combined action of the inductor, resistor, and capacitor components.

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Answer:

the correct answers are

What value is placed on top of the X?  90

What value is placed on the bottom of the X? 21

What is the factored form of 9x2 + 21x + 10?  (3x + 2)(3x + 5)

Step-by-step explanation:

i got it right, hope this helps :D

The value top of the X is 90, the value placed on the bottom of the X is 21, and the factored form of the expression is (3x + 2)(3x + 5)

Any equation of the form \(\rm ax^2+bx+c=0\)  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

\(\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}\)

We have a quadratic polynomial:

= 9x² + 21x + 10

On comparing with the standard equation:

a = 9

b =21

c = 10

The value top of the X = ac = 9(10) = 90

The value is placed on the bottom of the X = b = 21

Factor form of the expression:

\(\rm =3x\left(3x+2\right)+5\left(3x+2\right)\)

=  (3x + 2)(3x + 5)

Thus, the value top of the X is 90, the value placed on the bottom of the X is 21, and the factored form of the expression is (3x + 2)(3x + 5)

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Answer:

8,192....this is the answer

Answer:

5x-4

Step-by-step explanation:

The correct significant figure of 0.0879/0.98 is 0.08989796. (rounded to six significant figures)

The meaningful digits in a measured or computed number are known as significant figures. They are used to convey the degree of uncertainty in a value and represent the accuracy of the measurement. You must first establish the number of significant figures in each value being utilized before you can execute a computation with significant figures. When doing the computation, use the same number of decimal places as the value with the fewest significant figures. The final step is to round the result to the appropriate number of significant digits.

According to the question

Both numbers in the calculation 0.0879/0.98 have four significant digits. The result, after performing the calculation, is 0.08989796. We look at the final digit (7) in the response to determine the right amount of significant digits to round to. The preceding digit (9) is rounded up if the digit is 5 or above. In this instance, the solution, rounded to six significant numbers, is 0.0899.

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The mathematical expression y(x,t) = Asin(kx)sin(wt) provides a way to describe the behavior of a standing wave in terms of its amplitude, frequency, and location along the string.

At time t=0,

the standing wave can be mathematically expressed as

y(x,0) = Asin(kx)sin(w*0) = Asin(kx)sin(0) = 0.

This means that the displacement of the string is zero at time t=0.

However, it is important to note that this does not mean that the string is not moving at all. Rather, it means that the string is in a state of equilibrium at time t=0, with the maximum transverse displacement being A.

As time progresses, the standing wave will oscillate between the maximum positive and negative transverse displacement values, creating a pattern of nodes (points of zero displacements) and antinodes (points of maximum displacement).

The wave number k and angular frequency w are both constants that are dependent on the physical properties of the string and the conditions under which the wave is being produced.

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Answer:

(0,-2)

Step-by-step explanation:

substitute in 0 for x

and solve for y

Answer:

The area between the curves is 4 square units.

Step-by-step explanation:

We want to find the area bounded by:

y = x

x = 0

in the interval x = 1, x = 3

This is simply equal to the integral of the function f(x) = x between x = 1 and x = 3

Written as:

\(\int\limits^3_1 {x} \, dx\)

And the integral of x is equal to x^2/2

Then:

\(\int\limits^3_1 {x} \, dx = (\frac{3^2}{2} - \frac{1^2}{2}) = (\frac{9}{2} - \frac{1}{2} ) = \frac{8}{2} = 4\)

The area between the curves is 4 square units.

Answer:

x=9

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

According to the Product of a Power Property, when you multiply the power with the same base, you just have to add the exponents.

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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According to the question The coefficient of variation for the given data set is 40%.

The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation (SD) by the mean (μ) and expressing the result as a percentage.

The formula for the coefficient of variation is:

\(\[ CV = \left(\frac{SD}{\mu}\right) \times 100 \]\)

In this case, the standard deviation is 4 units and the mean is 10 units. Plugging these values into the formula, we get:

\(\[ CV = \left(\frac{4}{10}\right) \times 100 \]\)

\(\[ CV = 0.4 \times 100 \]\)

\(\[ CV = 40 \]\)

Therefore, the coefficient of variation for the given data set is 40%.

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9514 1404 393

Answer:

Step-by-step explanation:

The product of ratio units is 12 unit³, so each must stand for 1 m.

The dimensions of the room match the ratio units:

  4 m length by 3 m breadth by 1 m height

The length and the width vary inversely.

A variation is a relation between a set of values of one variable and a set of values of other variables.

In the equation y = mx + b, if m is a nonzero constant and b = 0, then you have the function y = mx (often written y = kx), which is called a direct variation.

If first rectangle length = 72cm and width = 56cm

Then, area = length x width = 72 x 56 = 4032\(cm^{2}\)

If length of second rectangle = x

and width = 21

Area of second rectangle = 21x

so both areas are equal, which means

21x = 4032

x = 4032/21

x = 192cm

Since the first rectangle had a width of 56cm and length, 72 and second rectangle has a reduced width 21 cm and an increased length 192cm. it means that the length and the width vary inversely since the reduction in width led to an increase in length.

In conclusion, the two quantities length and width vary inversely.

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Therefore, the reliability of the results may be questioned due to the small sample size and the fact that the observed and expected counts in some cells are too small.

The fact that two of the six observed counts are 5 or less should make you the most worried about the reliability of the results of the test in this case. This is because when the observed counts in a cell are too small, it is difficult to draw reliable conclusions from them. In such cases, the chi-squared statistic may not accurately reflect the true relationship between the variables being studied. This is because the chi-squared statistic is based on the difference between the observed counts and the expected counts, and if the observed counts are too small, the chi-squared statistic may be biased and not accurately reflect the true relationship between the variables.
Moreover, the fact that two of the six expected counts are less than 5 also raises concerns about the reliability of the results. This is because when the expected counts in a cell are too small, it may indicate that the sample size is too small or that the sample is not representative of the population being studied. In this case, the sample size was only 300 black women, which may not be representative of all black women.

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Answer: 8,580

Step-by-step explanation:

The equation for the years are 6,600+y(0.03x), x being the original healthcare price 6,600, and y being the number of years elapsed since 2007. Since 10 years have elapsed, the answer would be

6,600+10(198)

Or 6,600+1,980

8,580

Answer: the square root of 25 is 5

and also it’s an app called Desmos that finds the square root for you !

Answer:

the unit cost per rubber tile is $$$$$$$$$$$$$6

Step-by-step explanation:

..

To write a program that reads in integers until a negative integer is entered and keeps track of the largest integer, we can use a loop and a variable to store the largest integer.

Here's an example code in Python:

largest = -1
while True:
   num = int(input("Enter an integer: "))
   if num < 0:
       break
   if num > largest:
       largest = num
print ("The largest integer is:", largest)

In this code, we initialize the variable largest to -1 before entering the loop. Then, we use a while loop with a True condition to repeatedly prompt the user to enter an integer. If the number entered is negative, the loop breaks. If the number is positive, we check if it is larger than the current largest integer.

If it is, we update the value of largest to the new number. After the loop finishes, we print the largest integer that was entered before the negative integer.

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B is correct, and D is correct.

that is the answer to that question. Ive already done this question before and I got it right everytime

This exercise is about direct proportionality. We have two quantities: # of pound bags of grass seed, and square feet of land. They are directly proportional, and we know that 2 pound bags "correspond" (covers) with 5000 square feet. Then, if x denotes the pound bags that covers 18000 square feet, the following equation must hold:

Comment: In simple words, direct proportionality says that dividing a number of pound bags of grass by the square feet they cover gives always the same number!

Solving the above equation for x, we get

To cover 18000 square feet it's needed 36/5 pound bags of grass seed.

Answer:

+2k

Step-by-step explanation:

See the attached image.  The addition of k will shift the function up by 2k units.

Answer:

58

Step-by-step explanation:

Angle D is an inscribed angle that intercepts arc ZBC, so the measure of angle D is half the measure of arc ZBC.

m<D = (1/2)[m(arc)ZBC]

10x + 16 = (1/2)(7x - 5 + 154)

20x + 32 = 7x + 149

13x = 117

x = 9

m(arc)BZ = 7x - 5 = 7(9) - 5 = 63 - 5 = 58

Rounding 9.69 to the nearest whole number gives us 10.

Given that we need to round the decimal number 9.69 to the nearest whole number,

To round 9.69 to the nearest whole number, we look at the decimal part of the number, which is 0.69.

Since the decimal part is greater than or equal to 0.5, we round the whole number up to the next higher number. In this case, 9.69 is closer to 10 than to 9, so we round it up to 10.

Therefore, rounding 9.69 to the nearest whole number gives us 10.

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(-3, 4) is the solution to the given system of simultaneous equation

Given the system of equation

y = -x + 1

y = -1/3x + 3​

When solving graphically, the point of intersection of both lines on an xy plane is the solution to the system of equation.

According to the graph attached, the solution to the system of equation is (-3, 4).

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Answer:

Step-by-step explanation:

I don't think this can be done without the diagram. You do not know what HD is opposite. I will take a guess that it is opposite TU which makes TU = 220 because both H and D are midpoints and that makes TU twice as large as HD.

If this is incorrect, post the diagram.

a) The box weighs 294.21 newtons.

b) Normal force has a magnitude of 294.21 N.

c) Net acceleration of the box is 3.333 meters per square second.

d) Maximum force of static friction is 88.263 newtons.

e) External force must greater than 88.263 newtons to start motion.

Newton's laws describes the motion of a system considering its causes, which are represented by loads (i.e. moments, forces). Herein the system is a box that only translates itself on the floor, then the system can represented as a particle. Let assume that floor is horizontal:

a) The weight of the box is the product of mass of box and gravitational acceleration:

W = (30 kg) · (9.807 m / s²)

W = 294.21 N

b) The normal force has the same magnitude of the weight but a direction opposite to it:

N = 294.21 N

c) According to the Newton's laws, the net force experimented by the system is equal to the product of the mass of the box and the net acceleration:

100 N = (30 kg) · a

a = 3.333 m / s²

d) The maximum friction force is described by Coulomb's formula, that is, the product of static coefficient of friction and normal force:

f = (0.3) · (294.21 N)

f = 88.263 N

e) Friction force is a reactive force, that is, against motion direction of the system and external forces must be opposite to and greater than friction force to start motion:

P ≥ 88.263 N

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Answer:

C

Step-by-step explanation:

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