let be the solution of the equation y''-5y' 6y=0 satisfying the conditions y(0)=1 and y'(0)=2 and . find ln(y(1))

The triangle is an equilateral triangle, therefore, Diego didn't draw the right triangle.

A triangle simply means a polygon that has three edges and vertices. It's a shape in geometry.

In this case, I don't agree with Diego's drawing as the triangle is an equilateral triangle and this means that each side is 60° and not 45° as illustrated.

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Answer:

476 Students

Step-by-step explanation:

36% of 350 = 126 Students

350 + 126 = 476 students

Given the probability distribution for the angle x of a tree blowing from the vertical, we can see that the probability density function (PDF) is zero for values of x less than or equal to 0. Therefore, we need to calculate the area under the PDF curve for values of x greater than 4.

Using integration, we can find that the area under the curve for x > 4 is approximately 0.7315. This means that the probability of the tree's angle, from the vertical, being greater than 4 degrees is 0.7315 or about 73.15%.

Therefore, there is a high probability that the tree's angle, from the vertical, will be greater than 4 degrees.

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a. The probability that the fifth draw gives the first white ball is 0.01.

b. The probability that 2 of the 5 drawn balls are white is 0.3456.

c. The probability that it takes more than 5 draws to get a white ball is 0.32768.

a. The probability that the first white ball is drawn on the fifth draw can be calculated using the geometric distribution. Let W denote the event that a white ball is drawn and R denote the event that a red ball is drawn. The probability of getting a white ball on the first draw is 6/10, and the probability of getting a red ball is 4/10. Since the balls are replaced after each draw, the probability of getting a white ball on the fifth draw is

P(W on the 5th draw) = P(R, R, R, R, W) = (4/10)^4 × (6/10) = 0.01

b. To calculate the probability that 2 of the 5 drawn balls are white, we can use the binomial distribution. Let X denote the number of white balls drawn out of 5. Then, the probability of drawing 2 white balls out of 5 is:

P(X = 2) = (5 choose 2) × (6/10)^2 × (4/10)^3 = 0.3456

c. The probability that it takes more than 5 draws to get a white ball is the complement of the probability that a white ball is drawn within the first 5 draws. This can also be calculated using the geometric distribution

P(more than 5 draws to get a white ball) = 1 - P(W on or before 5th draw)

= 1 - P(R, R, R, R, W) - P(R, R, R, W) - P(R, R, W) - P(R, W) - P(W)

= 1 - (4/10)^4×(6/10) - (4/10)^3×(6/10) - (4/10)^2×(6/10) - (4/10)×(6/10) - (6/10)

= 0.32768

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If each car in the parking has only one color , then the option which cannot be the probability that the selected car will be green is 0.6 , the correct option is (c) .

In the question ,

it is given that ,

total numbers of car in the parking lot = 200 cars

number of white cars = 50

number of red cars = 30

number of silver cars = 20

let the number of green cars be "x" ,

So , the number of green cars possible = 200 - 100 = 100

that means x ≤ 100 .

So , P(green) = x/200

Option(a)

p = 0.2 ,

So , x/200 = 0.2

x = 40

Option(b)

p = 0.1 ,

So , x/200 = 0.1

x = 20

Option(c)

p = 0.6 ,

So , x/200 = 0.6

x = 120

Option(d)

p = 0.5 ,

So , x/200 = 0.5

x = 100 ,

We can see that only option(c) gives the number of green cars as 120 , which is not possible .

Therefore , If each car in the parking has only one color , then the option which cannot be the probability that the selected car will be green is 0.6 , the correct option is (c) .

The given question is incomplete , the complete question

In a parking lot with 200 cars, 50 cars are white, 30 cars are red, and 20 cars are silver. one car will be selected at random from the parking lot. if each car in the parking has only one color, which of the following cannot be the probability that the selected car will be green ?

(a) 0.2

(b) 0.1

(c) 0.6

(d) 0.5

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Answer:

GCF: 8

Answer: 8(7z - 3)

Step-by-step:

For the answer you just need to factor 8 out of 56z - 24

Answer:

GCF is 8

Step-by-step explanation:

Prime factor 56 and 24

See the biggest factor that will divide into them

Answer:50%

Step-by-step explanation: there is no real answer to your question because 50%is not there

The probability of drawing 2 green balls simultaneously from a bag containing 2 yellow and 4 green balls can be determined using the following method:

First, calculate the total number of balls in the bag. There are 2 yellow balls and 4 green balls, so the total is 6 balls.

Now, let's find the probability of drawing 2 green balls. To do this, consider the number of green balls (4) and the total number of balls (6). When drawing the first green ball, there are 4 green balls out of 6 total balls. Therefore, the probability of drawing one green ball is 4/6.

Since the balls are drawn simultaneously, there's no change in the number of balls for the second draw. So, the probability of drawing a second green ball remains 4/6.

Now, we can calculate the probability of both events occurring simultaneously by multiplying the probabilities:

(4/6) * (4/6) = 16/36

To simplify the fraction, divide both numerator and denominator by their greatest common divisor (4):

16/36 = 4/9

So, the probability of drawing 2 green balls simultaneously is 4/9.

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Step-by-step explanation:

let 'x' represent the total number of students in the class

5 = 20% of x

0.20x = 5 divide both sides by 0.20

x = 25 students

there are 25 students in the class.

I'm not sure about the answer but still I think its right.....

The function that represents the data in the table is 3x²+2. The correct answer is B.

The quadratic function is shown in the data table.

We must ascertain the function's equation.

The quadratic equation's generic form is

Let's replace the general form with the three coordinates (1,5, (2,14), and (3,29).

We therefore have;

a+b+c =5——— (1)

4a+2b+c= 14——— (2)

9a+3b+C =29------(3)

When (2) is subtracted from (1), we have;

9= 3a+b(4)

Subtracting (3) from (2) gives us;

15= 5a +b(5)

Subtracting (5) from (4) gives us;

6= 2a

3= a

As a result, the value of an is 3. When we replace this value in equation (4), we obtain;

3(3)+b= 9

b= 0

When a = 3 and b = 0 are substituted in equation (1), we obtain;

a+b+c =5

3+0+c=5

c=2

As a result, c has a value of 2.

As a result, when we substitute a = 3, b = 0, and c = 2 in the quadratic equation's general form y =ax²+bx+c, we obtain;

3x²+2

Consequently, the function that symbolizes the information in the table is 3x²+2

As a result, Option B is the right response.

Your question is incomplete but maybe your full question attached below

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9514 1404 393

Answer:

  see attached

Step-by-step explanation:

a) Any set of functions that has a total degree of 4 and a total number of x-intercepts of 4 will do. Shown in the first attachment are 4 linear functions. A quadratic function with two x-intercepts could replace two of the linear functions, or a cubic with 3 x-intercepts could replace 3 of the linear functions.

__

b) Again, the total degree must be 3. Since there can only be one x-intercept, the quadratic factor must have none. A possible choice is shown in the second attachment.

Yes, it is possible to draw a triangle.

This will be done by the property: the sum of two sides of a triangle should be more than the third side.

(5cm + 9cm) =10 cm

14 cm = 10 cm

LHS>RHS

A triangle is possible.

A triangle is a polygon with three edges and 3 vertices. The terminology for categorizing triangles is more than two thousand years vintage, having been defined on the first actual page of Euclid's elements.

In Euclidean geometry, any three factors, while non-collinear, decide a completely unique triangle and simultaneously, a unique plane (i.e. a -dimensional Euclidean space). In different words, there's best one plane that consists of that triangle, and every triangle is contained in some plane. If the entire geometry is only the Euclidean plane, there is the best one plane and all triangles are contained in it; however, in higher-dimensional Euclidean spaces, this is not real. this text is ready triangles in Euclidean geometry, and in particular, the Euclidean plane, except wherein otherwise stated.

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Answer:

116=1

Step-by-step explanation:

I hope this helps you!

Answer:

  [c] The value of w cannot be a negative number.

  [d] Substitution is used to replace the variable l with a value of 20.

  [e] The subtraction property of equality is used to isolate the term with the variable w.

Step-by-step explanation:

     To figure out which steps of the solution are true, let us solve.

2 l plus 2 w equals 62 -> 2l + 2w = 62

----

2l + 2w = 62

2(20) + 2w = 62  <- Substitution is used to replace the variable l with a value of 20.

40 + 2w = 62

2w = 22 <- The subtraction property of equality is used to isolate the term with the variable w.

w = 11

     This means that the value of w is not 10 feet so the first option is incorrect. This shape is a rectangle, so the value of w cannot be 0. Since we cannot have a negative measurement, option three is incorrect. This leaves us with the last three options as our answer, shown by the work above.

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Answer: 9.42 Feet or 9 Feet 5.04 Inches

Step-by-step explanation: To solve for the circumference, the equation you must use is C = 2πr (Circumference = 2pi(3.14)radius(half of the diameter)).

The length of side b is 56m, angle A is 45°, and angle C is 67°.

In the given triangle with side lengths a = 74m, b ≈ 56m, and c = 36m, the length of side b is approximately 56m.

To solve the triangle, we can use the Law of Cosines and the fact that the sum of angles in a triangle is 180 degrees. Given angle B = 67°51', we have:

Using the Law of Cosines, we have:

b² = a² + c² - 2ac * cos(B)

Substituting the known values:

b² = 74² + 36² - 2 * 74 * 36 * cos(67°51')

Calculating the value of b:

b ≈ √(74² + 36² - 2 * 74 * 36 * cos(67°51'))

b ≈ 55.92m (rounded to the nearest whole number, b ≈ 56m)

Using the Law of Cosines again, we have:

cos(A) = (b² + c² - a²) / (2 * b * c)

Substituting the known values:

cos(A) = (56² + 36² - 74²) / (2 * 56 * 36)

Calculating the value of A:

A = cos⁻¹((56² + 36² - 74²) / (2 * 56 * 36))

A ≈ 45° (rounded to the nearest whole number)

Using the fact that the sum of angles in a triangle is 180 degrees:

C = 180° - A - B

Substituting the known values:

C ≈ 180° - 45° - 67°51'

Calculating the value of C:

C ≈ 67°9' (rounded to the nearest whole number, C ≈ 67°)

Therefore, in the given triangle, the length of side b is approximately 56m, angle A is approximately 45°, and angle C is approximately 67°.

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Option 1 is correct, The point will be on 10 for the cost $240.

=> 0—————————-10—————————-20

By multiplying the data οbtained with such a nanοsectiοn variable whilst alsο twο that used the unitary methοd , the jοb can be finished. In essence, this mean that whenever a desired item appears, the specified entity is set οr the cοlοur space οf bοth prοductiοn runs is skipped. A varying fee οf Inr ($1.01) might have been necessary fοr fοrty pens.

Here,

Greg wants tο cοllect enοugh cash tο spend $210 οn a new bicycle. He needs tο make an extra $150 because he already has $60. He needs tο mοw the fοllοwing lawns in οrder tο make his $15 per lawn:

=> 150 ÷ 15 = 10 acres

Greg must mοw at least 10 yards in οrder tο accοmplish his οbjective. The number line shοwing hοw many fields he can mοw is as fοllοws:

=> 0—————————-10—————————-20

The number οf lawns he can mοw tο reach his οbjective is represented by any value οn this number line larger than οr equal tο 10. He will, fοr instance, be cοmpensated:

=> 12 × $15 = $180

He already has $60, sο after adding this, he will have:

=> $60 + $180 = $240

which will cοver the cοst οf the new mοtοrbike.

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Answer:

The square root of 5 is 2.2360679775

Answer:

that they were going a constant speed for a while

And at one time they came to a complete stop

Hopes this helps

Answer:

AC²=AB²-BC²=13²-10²=169-100=69

AC=√69=~8.3

Step-by-step explanation:

reciproque de pytaghore to solve AC

The answer to the problem is 1843.

To solve the equation ? − 1529 = 314,

Let the unknown be x

we need to isolate the variable on one side of the equation.

Adding 1529 to both sides, we get:

x − 1529 + 1529 = 314 + 1529

Simplifying, we get:

x = 1843

Therefore, the answer is x = 1843.

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Answer:

7.

lateral surface area of traingular prism=perimeter of traingle ×length=[5+3+4]×6=72cm²

curved surface area=2[area oftraingle]=2×1/2×4×3

=12cm²

now

total surface area=72cm²+12cm²=84cm²

8.

volume of traingular prism=area of traingle ×length

=1/2×12×3.4×4=81.6cm³

There are two terms in the given expression 5xy²+ 35xy².

What is meant by term?

Terms comprise expressions. A term may be a constant, a variable, or a combination of variables and constants.

What is an example of a term?

It could be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase. Single-word examples: A single phrase is 3x.

There are two terms in the equation 5xyA ^2 + 35xyA^2 that is separated by an arithmetic operator +.

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Answer:

120 + z = 180 (linear pair)

=> z = 180 - 120

=> z = 60

130 + y = 180 (linear pair)

=> y = 180 - 130

=> y = 50

50 + 60 + x = 180 (Angle sum property of a triangle = 180)

=> 110 + x = 180

=> x = 180 - 110

=> x = 70

Assuming the amount of ingredients given are enough to make one batch, and the chef had enough celery and garlic.

We can see : For one batch to be made, 2 cups of onions and 3 cups of carrots are used.

-> 5 cups combined.

Since a total of 20 cups of the same ingredients were used, we can deduce the number of batches the chef made by dividing it by 5.

-> 20 : 5 = 4 (batches)

(r,θ) = (7.28,254.05°) are 2-7i in polar coordinates on the complex plane.

The polar coordinates system is a two-dimensional coordinate system in which each point is determined by distance from the point and an angle from the reference direction.

I. Polar form = (r,θ) = (7.28,254.05°)

z = 2 - i7

r= \(\sqrt{ 2^2+-7^2}\)

= √53

 = 7.28

θ = tan^-1 (-7/-2)

  =3.5

  = 74.05

Point lies in the third quadrant

Hence θ = 180+74.05

              = 254.05°

Polar form = (r,θ) = (7.28,254.05°)

II. Z=16

De Moivre's theorem states if

z= r(cos(θ) + i sin (θ)) , then

\(z^2=r^2(cos(n\theta)+ i sin (n\theta))\)

\(r= \sqrt{1^2+1^2}\)

= √2

θ= arc tan (1/1)

  = π / 4

z= √2 (cos (π / 4)+i sin (π / 4))

z^8 = (√2 (cos (π / 4)+i sin (π / 4)))^8

= (√2 (cos (8π / 4)+i sin (8π / 4)))^8

=16 (cos(2π) + i sin (2π)

=16

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Answer:

A.) Measurement of angle 1 is 60, and measurement of angle 2 is 60.

Step-by-step explanation:

We know because those are both acute angles, and cannot be 135, so that eliminates that option. We also know that 45 + 67.5 wont work because the last angle would need to measure 67.5 which would not make sense based on the fact all of the triangles are equal in size and angle measurement. The last option is wrong because 22.5 is way to small for there to only be 8 triangles in the octagon. All the angle measures have to be equal in order for this model to work.

We must find p′, q′ in order to calculate the confidence interval; the sample proportion is p′ = 0.842; This is the population proportion's point estimate. Since CL = 0.95 is the requested confidence level, = 1 – CL = 1 – 0.95 = 0.05 (2) (2) = 0.025.

For P, what is the confidence interval at 95 percent?

Since 95% of the area under the curve falls within this interval, the interval (-1.96, 1.96) serves as a 95% confidence interval for the standard normal distribution.

What is the 95 percent confidence interval for the population's proportion of smokers?

Standard Error for Proportion Calculating a 95% Confidence Interval for each group separately is another way to consider whether smokers and nonsmokers have significantly different proportions with wrinkles. For the smokers, we have a certainty time period ± 2(0.0394) or 0.63 ± 0.0788.

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Answer:

Manuel también está en la clase de ciencias del Sr. Whittaker. Observó que el nivel del agua subió 1.8 milímetros por año, lo que coincide con la tendencia anual promedio. esto ocurrió durante 2,2 años. Explique cómo determinar la variación total en el nivel del agua. ¿Cómo puedes comprobar tu respuesta?

Step-by-step explanatio: No enendit  

Answer:

Step-by-step explanation:

the ratio of 1.8 millimeters / 1 year has to be equivalent with

the ratio of ? millimeters / 2.2 years

? = 1.8*2.2/1  = 3.96

the total variation in water level is 3.96 millimeters per 2.2 years

to check calculate the average annual trend

(1.8 + 3.96 ) millimeters / ( 1+ 2.2) years = 5.76 / 3.2 = 1.8 millimeters annually