5. (20 points) Solve the initial value problem y" – 2y′ + 10y = 0, y(0) = 0, y′(0) = 6

Answer:

a

Step-by-step explanation:

that is the answer

Answer: The answer is B.

Step-by-step explanation:

This is using the independent probability

Are events M and event N independent. No, because P(M)·P(N) ≠ P(M ∩ N).

What do you mean by independent events?

A and B are said to be independent events if the probability of an event A occurring is unaffected by the occurrence of another event B whereas dependent events influence the probability of other events Independent events can have common outcomes.

If two events A and B are independent of each other, then A and B have equal probability of occurring as

P(A∩B) = P(A) · P(B)

Event M and N have probabilities such that P(M) = 0.4, P(N) = 0.28 , P(M∪N) = 0.56 and P(M∩N) = 0.12

P(M)·P(N) = 0.4 × 0.28 = 0.112

and P(M∩N) = 0.12 (Given)

So, P(M∩N) ≠ P(M)·P(N)

This shows that both the events are not independent events.

Therefore, Event M and N are not independent event.

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Answer:

11.44

Step-by-step explanation:

tallest to smallest:

11.44, 11.4, 11.36, 11.309

A fundamental identity is an equation that relates the values of the trigonometric functions for a given angle. The equation cot θ = cos θ/sinθ is an example of a fundamental identity.

This identity states that the cotangent of an angle is equal to the cosine of the angle divided by the sine of the angle. The equation sec θ = 1/cosθ is another example of a fundamental identity. This identity states that the secant of an angle is equal to the reciprocal of the cosine of the angle. The equation sec^2 + 1 = tan^2θ is also a fundamental identity. This identity states that the square of the secant of an angle plus one is equal to the square of the tangent of the angle. The equation 1 + cot^2θ = csc^2θ is not a fundamental identity. This equation states that one plus the square of the cotangent of an angle is equal to the square of the cosecant of the angle. This equation is not a fundamental identity because it does not relate the values of the trigonometric functions for a given angle.

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Answer:

d

Step-by-step explanation: i took the test and pasted

Answer

Graph 2

Step-by-step explanation:

Two shapes of the same size and shape are congruent. There are five conditions or rules for two triangles to be congruent. They are SSS, SAS, ASA, AAS, and RHS joint properties.

Triangle Congruence:

The congruence of two or more triangles depends on the measurements of their sides and angles. The three sides of a triangle determine its size, and its three angles determine its shape.

Two triangles are considered congruent if their pairs of corresponding sides and corresponding angles are equal.

SSS (side-side-side) :

According to this criterion, two triangles are congruent if his three sides of one triangle are equal to the corresponding sides of the other triangle.

ASA ( Angle-Side-Angle ) :

According to the ASA criterion, two triangles are congruent if any two angles and the inner side of one triangle between them are equal to the corresponding angles and inner sides of the other triangle.

SAS (Side Angle Side)

According to this criterion, two triangles are congruent if two sides and included angles of one triangle are equal to the corresponding sides and included angles of the other corresponding triangle.

AAS ( Angle - Angle Side) :

According to the AAS standard, two triangles are congruent if any two angles and the excluded side of one triangle are equal to the corresponding angles and the excluded side of the other triangle

RHS (Right Angle Two-sided)

According to this criterion, two triangles are congruent if the hypotenuse and side of one right triangle are equal to the hypotenuse and corresponding side of another right triangle.

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Answer: Bandit is not a dog

3rd satment is true

Step-by-step explanation

Answer:

10 miles

Step-by-step explanation:

5 1/4+ 4 3/4 = 10

Answer:

10 miles

Step-by-step explanation:

Answer:

It would be a five

Step-by-step explanation:

\(9.6\times 10^9~~ = ~~(2\times 10^5)(4.8\times 10^n)\implies \cfrac{9.6\times 10^9}{2\times 10^5}~~ = ~~4.8\times 10^n \\\\\\ \cfrac{9.6}{2}\times \cfrac{10^9}{10^5}~~ = ~~4.8\times 10^n\implies 4.8\times 10^{9-5}~~ = ~~4.8\times 10^n \\\\\\ 4.8\times 10^4~~ = ~~4.8\times 10^n\implies \cfrac{4.8\times 10^4}{4.8}=10^n\implies \cfrac{4.8}{4.8}\times 10^4=10^n \\\\\\ 1\times 10^4=10^n\implies 10^4=10^n\implies 4 = n\)

Answer:

50,646

Step-by-step explanation:

Jim would have saved 50,646 in 4 years

1 Year= 12.6615

12.6615 x 4=50,646

Jim will have $5,149,010 in 4 years.

Simple interest is a method for figuring out how much interest was paid on a sum of money during a specific time period at a specific rate. Simple interest has a constant principle amount. Simple interest is a clear-cut and simple method for computing financial interest.

We have,

P = $84,410.

R= 15%

T = 4 years

Using Simple Interest

SI = (P x R x T) / 100

SI = (84410 x 15 x 4)/100

SI = 5,064,000

So, the amount is

= 84,410 + 5,064,000

= 5,149,010

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Answer:

speed

1)the distance travelled by a body per unit time is known as speed.

2) speed is speed, or something how fast is going,

3) while velocity is speed how fast something is going in a specific direction.

average speed

1) average speed is the speed added up and divided by number of speed .

2)the average of all the instantaneous speed in a give time interval.

3) the average speed as the duration of the time interval approaches zero.

Answer:

Mr. Jones' tally showed that 0.6 of the students brought in scissors, so the remaining fraction of students would be 0.4 or 40%, who did not bring in scissors.

Step-by-step explanation:

simple

Answer:

40% of the students did not bring in scissors

Step-by-step explanation:

Since % means out of 1.

0.6 would equal 60%

1.0 - 0.6 = 0.4

Other forms of 0.4 would include:

0.40

40%

2/5s

4/10s

40/100s

Given data:

The principal is

The time is

The interest is

Concept:

The formula to calculate interest rate (R) is given below as

By substituting the values in the formula above, we will have

Hence,

The final answer is 5%

Answer:

Step-by-step explanation:

In the associative property of multiplication, the product of the multiplication of 3 or more numbers is the same irrespective of how they are grouped. This means that irrespective of the bracket or which number comes first, the product will always be the same.

From the given scenarios, the pair of expressions that are equivalent using the Associative Property of Multiplication are

B 6(4a ⋅ 2) = (4a ⋅ 2) ⋅ 6

C 6(4a ⋅ 2) = 6 ⋅ 4a ⋅ 2

D6(4a ⋅ 2) = (6 ⋅ 4a) ⋅ 2

The results are the same irrespective of the arrangement of the numbers.

Answer:

Step-by-step explanation:

I am assumimg you mean 5/9 and 16/5.

2 irrational numbers between these values are e and π.

Two irrational numbers between 5 / 9 and 16 / 5 are,

⇒ 0.56674549....

⇒ 0.588454755....

A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

Given that;

Two rational numbers are,

⇒ 5 / 9 and 16 / 5

Now, We get;

⇒ 5 / 9 = 0.5555

⇒ 16 / 5 = 3.2

Hence, Two irrational numbers between 5 / 9 and 16 / 5 are,

⇒ 0.56674549....

⇒ 0.588454755....

Thus, Two irrational numbers between 5 / 9 and 16 / 5 are,

⇒ 0.56674549....

⇒ 0.588454755....

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The use of a "thumbs-up" gesture to symbolize the statement "good luck" is a common practice in many cultures. This gesture is typically used to express approval or agreement, but it can also be used to convey positive wishes, such as wishing someone good luck before an exam or a job interview.

It is believed that this gesture originated in ancient Rome, where it was used as a sign of approval in the gladiatorial arena. Today, the thumbs-up gesture has become a universal symbol of positivity and encouragement. So, if you want to wish someone good luck, a thumbs-up gesture is a great way to do it!

The use of a "thumbs-up" gesture to symbolize the statement "good luck" involves the following steps:

1. Extend your arm: To perform the thumbs-up gesture, first extend your arm in the direction of the person you want to wish good luck.
2. Make a fist: Close your fingers into a fist, with your thumb pointing upwards.
3. Show your thumb: Ensure that the thumb is clearly visible and pointing upwards. This represents the "thumbs-up" gesture.
4. Make eye contact: Look at the person you're wishing good luck to, so they know the gesture is directed at them.

By performing the thumbs-up gesture, you're using a universally recognized symbol to convey your positive sentiment and wish someone good luck in their endeavors.

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Answer:

98

Step-by-step explanation:

180 means supplementary so we subtract that by 82 which gives us 98

Answer:

Below

Step-by-step explanation:

The two supplementary angles sum to 180 °

180 - 82 = other angle = 98°

Answer:

x=-4

Step-by-step explanation:

-6x=17+7

-6x=24

x=-4

Answer:

x = -4

Step-by-step explanation:

Add 7 to each side of the equation (left and right of the equal sign) which should get you to -6x = 24. Then multipy both sides by -1 to make the -6x positive and turn the 24 negative. That should leave you with 6x = -24, then divide by 6 on each side and your answer should be x = -4

The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

Answer:

35$

Step-by-step explanation:

25 x 1.40 = 35

Answer:

g = 1/2

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

9 + 3.5g = 11 - 0.5g

Step 2: Solve for g

Step 3: Check

Plug in g into the original equation to verify it's a solution.

Here we see that 10.75 does indeed equal 10.75.

∴ g = 1/2 is a solution of the equation.

Answer: g= 0.5

Step-by-step explanation:

Add

3.5g and 0.5g. to get

9+4g=11

then subtract 9 from the 11 and you should get 4g=2.

then divide 4 from 2 and you should get the answer of 2/4.

simplify it and you should get the answer g=0.5

Adjusted data:

a. Decrease Office Supplies, Increase Office Supplies Expense by $1,800.

b. Decrease Depreciation Expense, Increase Accumulated Depreciation by $200.

c. Decrease Prepaid Insurance, Increase Insurance Expenses by one month's value.

d. Increase Interest Expense, Increase Accrued Interest Payable by $75.

We have,

Based on the adjusted data provided:

a. The office supplies used during the month would result in a decrease in assets and an increase in expenses.

This adjustment would decrease the Office Supplies account and increase the Office Supplies Expense account by $1,800.

b. Depreciation for the month would result in a decrease in assets and an increase in expenses.

This adjustment would decrease the Depreciation Expense account and increase the Accumulated Depreciation account by $200.

c. The expiration of one month of insurance would result in a decrease in assets and an increase in expenses.

This adjustment would decrease the Prepaid Insurance account and increase the Insurance Expense account by the value of one month's insurance.

d. Accrued interest expense would result in an increase in expenses and a corresponding increase in liabilities.

This adjustment would increase the Interest Expense account and also increase the Accrued Interest Payable liability account by $75.

Thus,

Adjusted data:

a. Decrease Office Supplies, Increase Office Supplies Expense by $1,800.

b. Decrease Depreciation Expense, Increase Accumulated Depreciation by $200.

c. Decrease Prepaid Insurance, Increase Insurance Expenses by one month's value.

d. Increase Interest Expense, Increase Accrued Interest Payable by $75.

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Line segment BD is 12 units

Using the pythagorean theorem a^2 + b^2 = c^2

To estimate the number of sandwiches the deli manager should anticipate selling when 178 customers visit the deli, we can analyze the given data and approximate it using a linear function.

By observing the table, we notice that the number of sandwiches sold varies with the number of customers. This indicates a relationship between the two variables.

To estimate the number of sandwiches, we can fit a line to the data points and use the linear function to make predictions. Using a statistical software or a spreadsheet, we can perform linear regression analysis to find the equation of the best-fit line. However, since we are limited to text-based interaction, I will provide a general approach.

Let's assume the number of customers is the independent variable (x) and the number of sandwiches is the dependent variable (y). Using the given data points, we can calculate the equation of the line.

After calculating the linear equation, we can substitute the value of 178 for the number of customers (x) into the equation to estimate the number of sandwiches (y).

Please provide the data points for the number of sandwiches sold corresponding to each number of customers so that I can perform the linear regression analysis and provide a more accurate estimate for you.

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The probability of the weight loss falling between 8 pounds and 11 pounds is 1/2

Variation of weight = Between 6 to 12.

It is required to ascertain the percentage of the overall range that corresponds to that interval in order to calculate the chance that the weight reduction will fall between 8 pounds and 11 pounds.

Calculating the total range of weight -

Range = Higher weight - Lower weight

= 12 - 6

= 6

Similarly, calculating the total range of weight for 8 pounds and 11 pounds

Range = Higher weight - Lower weight

= 11 - 8

Calculating the probability -

Probability = Range of interest / Total range

= 3 / 6

= 1/2.

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Complete Question:

Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 pounds, and is spread evenly over the range of possibilities, so that there is a uniform distribution. Find the probability of the given range of pounds lost between 8 pounds and 11 pounds

a. 1/2

b. 1/4

c. 2/3

d. 1/3

Measure of segment DC is 24

Measure of segment C'B' is 16

Measure of segment AD is 10

Measure of segment A'B' is 7

Measure of angle C is 49 degrees

Measure of angle A' is 111 degrees

Measure of angle D' is 65 degrees

Measure of angle B' is 135 degrees

Measure of angle A is 111 degrees

To determine the measures, we need to know the properties of parallelograms, we have;

We have that the two parallelograms are equal

Now, trace the angles from one to other

Angle A = 360 - (49 + 135 + 65)

add the values, we have;

Angle A = 360 -249

Angle A =111 degrees

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In a queueing system with customer arrivals every 6 seconds and service times of 4 seconds, the task is to calculate the average number of customers in the queue

To calculate the average number of customers in the queue, we can use Little's Law, which states that the average number of customers in a stable queueing system is equal to the average arrival rate multiplied by the average time spent in the system.

First, we need to calculate the average arrival rate. Since customers arrive once every 6 seconds, the arrival rate is 1 customer per 6 seconds or 1/6 customers per second.

The total service time is 4 seconds, and the standard deviation is 5.9. Therefore, the average service time is 4 seconds.

Using Little's Law, we multiply the average arrival rate (1/6 customers per second) by the average service time (4 seconds) to obtain the average number of customers in the queue.

Average number of customers in the queue = (1/6) * 4 = 2/3 ≈ 0.667

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