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Answers

Answer 1

Answer:

Answer:

$x^(6)$ / $z^(-1)$

Step-by-step explanation:

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Find an explicit solution to the Bernoulli equation. y'-1/3 y = 1/3 xe^xln(x)y^-2

Answers

$y'-\frac13y=\frac13xe^x\ln x\,y^(-2)$

Divide both sides by $\frac13y^(-2)(x)$ :

$3y^2y'-y^3=xe^x\ln x$

Substitute $v(x)=y(x)^3$ , so that $v'(x)=3y(x)^2y'(x)$ .

$v'-v=xe^x\ln x$

Multiply both sides by $e^(-x)$ :

$e^(-x)v'-e^(-x)v=x\ln x$

The left side can be condensed into the derivative of a product.

$(e^(-x)v)'=x\ln x$

Integrate both sides to get

$e^(-x)v=\frac12x^2\ln x-\frac14x^2+C$

Solve for $v(x)$ :

$v=\frac12x^2e^x\ln x-\frac14x^2e^x+Ce^x$

Solve for $y(x)$ :

$y^3=\frac12x^2e^x\ln x-\frac14x^2e^x+Ce^x$

$\implies\boxed{y(x)=\sqrt[3]{\frac14x^2e^x(2\ln x-1)+Ce^x}}$

Boris buys candy that costs $7 per pound. He will spend at least $63 on candy. What are the possible numbers of pounds he will buy?

Answers

Answer:

Anything above 9

Step-by-step explanation:

63/7=9

Explain how 7/10 and 70/100 are equivalent decimals

Answers

It is proved that the given decimals are equivalent decimals.

What are equivalent fractions? What is a mathematical function, equation and expression?

equivalent fractions : Equivalent fractions can be defined as fractions that may have different numerators and denominators but they represent the same value.
function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.

equation : A mathematical equation is used to equate two expressions.

Given are the fractions -

7/10 and 70/100

We have the following fractions -

A = (7/10) = 0.7

B = 70/100 = (7 x 10)/(10 x 10) = (7/10)

B = (7/10) = 0.7

It can be seen that fraction A equals to B.

Therefore, it is proved that the given decimals are equivalent decimals.

To solve more questions on functions, expressions and polynomials, visit the link below -

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Step-by-step explanation:

7/10 in percentage form is 70%

70/100 in percentage form is 70%

Simple as that

Vanessa is skiing along a circular ski trail that has a radius of 2.5 km. She starts at the 3-o'clock position and travels in the CCW direction. Vanessa stops skiing when she is 1.244 km to the right and 2.169 km above the center of the ski trail. Imagine an angle with its vertex at the center of the circular ski trail that subtends Vanessa's path.How many radians has the angle swept out since Vanessa started skiing?

Answers

Answer:

1.05 radians

Step-by-step explanation:

Given that Vanessa is skiing along a circular ski trail that has a radius of 2.5 km. She starts at the 3-o'clock position and travels in the Counter Clockwise direction.

She stops skiing when she is 1.244 km to the right and 2.169 km above the center of the ski trail.

This can be represented as (1.244, 2.169) on a circle of radius 2.5 km.

From the coordinate point (1.244, 2.169) derived, x=1.244 and y=2.169.

By the definition of tangent,

$\tan \theta =(y)/(x) \n\n\tan \theta =(2.169)/(1.244)\n\n \theta=\arctan (2.169)/(1.244)\n\n\n \theta=1.05006$

Vanessa swept out approximately 1.05 radians since she started skiing.

Final answer:

Vanessa's path on the circular ski trail has swept out an angle of 1.076 radians since she started skiing.

Explanation:

First, let's find the position vector of Vanessa's stop point. The position vector is given by the coordinates (x, y), where x is the horizontal distance and y is the vertical distance from the center of the ski trail. In this case, x = 1.244 km to the right and y = 2.169 km above the center. Therefore, the position vector is (1.244 km, 2.169 km).

Next, we need to find the angle swept out by Vanessa's path. To do this, we can use trigonometry. The radius of the ski trail is 2.5 km, and the position vector is (1.244 km, 2.169 km). We can use the inverse tangent function to find the angle:

angle = tan^(-1)(y/x) = tan^(-1)(2.169/1.244) = 61.63 degrees

Finally, we need to convert the angle from degrees to radians. To convert degrees to radians, we use the conversion factor π/180. So, the angle in radians is:

angle_radians = 61.63 degrees * (π/180) = 1.076 radians

Learn more about Swept Angle here:

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Evaluate 9 x 8 = (10 x 8) - ( blank x 8) =80 - blank = blank

Answers

Answer:

see below

Step-by-step explanation:

9 x 8 = (10 x 8) - ( blank x 8) =80 - blank = blank

We are replacing 9 with 10 minus something

9 = 10 -1

9 x 8 = (10 x 8) - ( 1 x 8)

80 - 8

Determine what information you would need to know in order to use SAS to show that the triangles are congruent

Answers

Answer:

Option D

Step-by-step explanation:

We already have two reasons to support two sides. We have the reflexive property and that the base is divided by a midpoint. So we will need an angle.

Also, AC is the median so it divides into two congruent angles and parts

Option D, because the reflexive property is then included in that part

Other Questions

Kenny bought 20 packs of baseball cards. There are 12 cards in each pack. How many cards did Kenny buy?

PLEASE HELP ME ASAP!

Melissa put her cat, Herman, on a diet and kept track of his weight. At the end of 4 weeks, she recorded Herman's weight change as −4 1/2 ounces. She noticed that he had lost the same amount of weight each week. What is Herman's weight change each week of the diet? Enter your answer in the box.

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