i need the solution geometry

If \(y=x^m\) is a solution to the ODE

\(x^2 y'' - 7xy' + 15y = 0\)

then substituting \(y\) and its derivatives

\(y' = mx^{m-1} \text{ and } y'' = m(m-1)x^{m-2}\)

gives

\(m(m-1)x^2x^{m-2} - 7mxx^{m-1} + 15x^m = 0\)

\(m(m-1)x^{m} - 7mx^{m} + 15x^m = 0\)

\((m(m-1) - 7m + 15)x^{m} = 0\)

We ignore the trivial case of \(y=x^m=0\). Solve for \(m\).

\(m(m-1) - 7m + 15 = 0\)

\(m^2 - 8m + 15 = 0\)

\((m - 3) (m - 5) = 0\)

\(\implies \boxed{m=3} \text{ or } \boxed{m=5}\)

................................

Answer:

...................................................../

Step-by-step explanation:

Answer:

the number of students enrolled this year is 21,600 students

Step-by-step explanation:

The computation of the number of students enrolled this year is as follows:

= Number of students enrolled last year × increased percentage

= 20,000 students × 108%

= 21,600 students

hence, the number of students enrolled this year is 21,600 students

The solutions for the given equations would be

x =14

x = -96

x = 53

What is a linear equation in one variable?

A linear equation in one variable is an equation that can be written in the form ax + b = 0, where x is the variable, a and b are coefficients, and a is not equal to zero. The variable x is the unknown value in the equation and the goal is to find the value(s) of x that makes the equation true.

9x = 126

x = 126/9

x = 14

x/8 = -12

x = -12 * 8

x = -96

x + 19 = 72

x = 72 - 19

x = 53

Hence, the solutions for the given equations would be

x =14

x = -96

x = 53

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Answer:.

Step-by-step explanation:

.

Answer:

13

Step-by-step explanation:

Divide 65 by 5

Answer:

13

Step-by-step explanation:

Answer:

7/6 miles

Step-by-step explanation:

As, Distance for 1 hour = x

For 2 hours = 2 1/3

For 2 hours = 2(x)

So, 2(x)= 2 1/3

2(x)= 7/3

So, x = 7/3 ÷ 2

So x= 7/3 x 1/2

Therefore, x = 7/6

Final answer= 7/6 miles per hour

Ikr its so- ion even have words

IM DEADDDDDDDDDDDDDDDDDDDDDDDDDDDD

Answer:

It's B

Step-by-step explanation:

Given that we have the graph of f(x), we want to see which one is the graph of its inverse. i just had that question and i got a 100 on it

Answer:

2A=A+A

Step-by-step explanation:

2A=A*A, not A+A

Answer:

6) 60°

7) 24.25°

8) 28°

Step-by-step explanation:

I’m not 100% sure but hope this helps.

Answer:

6. u = 60

7. 24.25°

8. 28°

Step-by-step explanation:

6. First we know that a triangle is 180 degrees. So we would do 30+90+u=180

120+u=180

-120    -120

u = 60

Therefore, a corresponds to tan θ = 3/2, and b corresponds to cos θ = 2(√13)/13.

Trigonometric ratios are mathematical functions used to relate the angles and sides of a right-angled triangle. There are three primary trigonometric ratios: sine (sin), cosine (cos), and tangent (tan). Trigonometric ratios are commonly used in various fields, including physics, engineering, and mathematics, to solve problems related to angles and triangles.

Here,

We can use the definitions of the trigonometric ratios to find which ratio belongs to each value:

sin θ = (perpendicular/hypotenuse)

= 9/(3√13)

= 3/(√13)

cos θ = (base/hypotenuse)

= 6/(3√13)

= 2(√13)/13

tan θ = (perpendicular/base)

= 9/6

= 3/2

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The width of the pool is approximately 0.67 feet or 8 inches. To find the width of the pool, we can use the given information about the volume of water it holds and the relationship between volume and dimensions.

First, we calculate the volume of the pool using the formula: Volume = length × width × height. Since the length is given as 5 feet and the height is 6 feet, we can substitute these values into the formula: Volume = 5 × width × 6.

Next, we convert the volume from gallons to cubic feet by dividing by the conversion factor of 7.5 gallons per cubic foot: (150 gallons) / (7.5 gallons per cubic foot) = 20 cubic feet.

Now we can set up the equation: 20 = 5 × width × 6.

To solve for the width, we divide both sides of the equation by (5 × 6): width = 20 / (5 × 6).

Evaluating the expression, we find that the width of the pool is approximately 0.67 feet or 8 inches.

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Total number of committees with 4 delegates from Nevada = 15 × C(24, 5)

Total number of committees with 5 delegates from Nevada = 6 × C(23, 4)

Total number of committees with 6 delegates from Nevada = 1 × C(22, 3)

What is Delegates?

An individual chosen to represent a group of people in a political assembly in the United States is known as a delegate.

To calculate the number of committees with at least 2 delegates from Nevada, we need to consider the number of possible combinations of delegates from five states: California, Arizona, New Mexico, Utah, and Nevada.

Since each state sends a team of 6 delegates, the total number of delegates available is 6 × 5 = 30 delegates.

Now let's count the number of committees with at least 2 delegates from Nevada. We can consider two scenarios:

Scenario 1: Exactly 2 delegates from Nevada

In this case, we need to select 2 delegates from Nevada and 7 delegates from the remaining 29 delegates (excluding the 2 from Nevada). The order of selection does not matter, so we use combinations.

Number of ways to choose 2 delegates from Nevada = C(6, 2) = 15 (using combinational formula)

Number of ways to select 7 delegates from the remaining 29 delegates = C(29, 7) = 3,138,225 (using combinational formula)

Total number of committees with exactly 2 delegates from Nevada = 15 × 3,138,225 = 47,073,375

Scenario 2: More than 2 delegates from Nevada

In this case, we can choose 3, 4, 5, or 6 delegates from Nevada. For each selection, we must select the remaining delegates from the remaining states.

Number of ways to select 3 delegates from Nevada = C(6, 3) = 20 (using combinational formula)

Number of ways to select 6 delegates from the remaining 27 delegates = C(27, 6) = 10,068,347 (using combinational formula)

Total Committees with 3 Nevada Delegates = 20 × 10,068,347 = 201,366,940

Similarly, we calculate the total number of committees with 4, 5, and 6 delegates from Nevada.

Number of ways to choose 4 delegates from Nevada = C(6, 4) = 15

Number of ways to choose 5 delegates from Nevada = C(6, 5) = 6

Number of ways to select 6 delegates from Nevada = C(6, 6) = 1

For each case, we calculate the number of ways to choose the remaining delegates from the remaining states using the combination formula.

Total number of committees with 4 delegates from Nevada = 15 × C(24, 5)

Total number of committees with 5 delegates from Nevada = 6 × C(23, 4)

Total number of committees with 6 delegates from Nevada = 1 × C(22, 3)

Calculating the above combinations will give you the final results.

Note: Calculations for remaining delegates from other states are required to account for the different number of delegates in each scenario.

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The probability that Shawn buys granola given that he has already bought bagels is 0.25.

In probability theory, the conditional probability is the probability of an event occurring given that another event has already occurred. In this case, we want to find the probability of Shawn buying granola (event A) given that he has already bought bagels (event B).

To calculate the conditional probability, we use the formula: P(A|B) = P(A and B) / P(B). In the given information, we are given that P(A) = 0.4, P(B) = 0.8, and P(A and B) = 0.2.

Substituting these values into the formula, we have: P(A|B) = P(A and B) / P(B) = 0.2 / 0.8 = 0.25.

Therefore, the probability that Shawn buys granola, given that he has already bought bagels, is 0.25.

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Answer:

6/5 or 1 1/5

Step-by-step explanation:

Make a common denominator: 1/2 is equal to 5/10

7/10+5/10=12/10

12/10 simplified is 6/5

Answer:

hi the answer submersible

Answer:

Answer:

if you add −5, the inequality is 13 > -12

if you add 2.7, the inequality is 20.7 > -4.3

if you add 7, the inequality is 25 > 0

Hope this helps

Using the properties of inequalities

if you add −5, to both sides of the inequality 18>−7.

the inequality is 13 > -12

Do that with all of them

if you add 2.7, to both sides of the inequality 18>−7. the inequality is 20.7 > -4.3

if you add 7, to both sides of the inequality 18>−7. the inequality is 25 > 0

Hope this helps! Also I know its right bc RSM-Viki

The odds for and against the event of rolling a fair die and getting a 6 or 5 can be found by calculating the probability of the event and its complement. Probability of getting a 6 or 5 on a die = 2/6 = 1/3Probability of not getting a 6 or 5 on a die = 4/6 = 2/3Odds in favor of getting a 6 or 5 on a die can be calculated as the ratio of the probability of getting a 6 or 5 to the probability of not getting a 6 or 5.

Hence, odds in favor of getting a 6 or 5 are (1/3)/(2/3) = 1:2.Odds against getting a 6 or 5 on a die can be calculated as the ratio of the probability of not getting a 6 or 5 to the probability of getting a 6 or 5. Hence, odds against getting a 6 or 5 are (2/3)/(1/3) = 2:1. Thus, the odds in favor of rolling a fair die and getting a 6 or 5 are 1:2, and the odds against it are 2:1.

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Answer: x = 0, \(\frac{9}{2}\)

Step-by-step explanation:

    Given:

2x^2-9x=0

    Rewrite:

0 = 2x² - 9x

    Factor:

0 = (2x - 9)x

    Solve:

x = 0, \(\frac{9}{2}\)

To factor something, we essentialy take apart the equation until we reach its most basic form as shown below

   ⇒ formal terms: break the expression down into smaller

                               expressions that are multiplied together

           \(2x^2-9x=0\\x(2x-9)=0\)<==factored form

To find the solutions in this case, we set the two parts of the factored forms, 'x' and '2x-9' equal to zero, and solve for x

   \(x = 0\\\\2x-9=0\\2x=9\\x= \frac{9}{2}\)

Thus the solutions are 9/2 and 0

Answer: 9/2, 0

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Hope that helps!

Answer:

No. If the second positive integer is larger than the first positive integer in a subtraction problem, the difference will be negative.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The kinetic energy associated with the random motions of the molecules of a material or object; often used interchangeably with the terms heat and heat energy.

Answer:

A short defination can be when the temp rises, the molecules start to move around faster and collide!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve 3-4 and (1⁄2)-2

3 - 4, 4 is greater than 3, so the result is negative (-1)

3 - 4 = -1

-----------------

1/2 is equal to 0.5, also here 2 is larger and we will have a negative result (-1.5 or -3/2)

1/2 - 2 =

0.5 - 2 = -1.5 or -3/2

Answer:

To find a range of values for the third side when given two lengths, write two inequalities: one inequality that assumes the larger value given is the longest side in the triangle and one inequality that assumes that the third side is the longest side in the triangle. Combine the two inequalities for the final answer.

Step-by-step explanation:

The value of the curved surface area is 144π m² and the total surface area is 116π m²

The formula of curved surface area of a frustrum is given as;

CSA = π(R + r)l

CSA = π(10 + 2) * 12

CSA = π144

CSA = 144π m²

b.

The formula of total surface area is given as;

TSA = π(R + r) + πR² + πr²

Substituting the values into the formula;

TSA = π(10 + 2) + 10²π + 2²π

TSA = 12π + 100π + 4π

TSA = 116π m²

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Answer:

No

Step-by-step explanation:

Because is not,if you look the fiche ys not

The angle 2 is 149° , angle 3 is 31° , angle 4 is 149°

What is the name for two opposing angles?

Angles where two lines cross that are directly opposite one another are known as opposing angles. The vertex, where the lines come together to produce the angle, is the location of the junction. Vertical angles are another name for opposite angles.

Given that :
Angle 1 is = 31°

Angle 2 is = 180 - 31 = 149° (As in a line total angle is 180°)

Angle 3 is = 31° (As equal opposite angle with angle 1)

Angle 4 is = 149°  (As equal opposite angle with angle 2)

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