in designing your new kitchen, you have a choice of six refrigerators, seven stoves, and nine microwaves. how many different combinations of appliances could you have?

Answer:

f(-2)=g(-2)

Step-by-step explanation:

To find an autonomous differential equation with the specified properties, we can start by considering the equilibrium solutions at y=0 and y=9. For an equilibrium solution, the derivative y' should be equal to 0.

Let's define the autonomous differential equation as follows:

dy/dt = f(y)

To have equilibrium solutions at y=0 and y=9, we need to ensure that f(y) is equal to 0 at these points. Thus, we have:

f(0) = 0

f(9) = 0

Next, we want y' to be positive for y between 0 and 9, and negative for y less than 0 or greater than 9. We can achieve this by introducing a non-linear term involving y^2 in the function f(y).

One possible autonomous differential equation that satisfies these conditions is:

dy/dt = y(9 - y)

This equation has equilibrium solutions at y=0 and y=9 since the right-hand side becomes zero at these points. Moreover, when y is between 0 and 9, the expression y(9 - y) is positive, resulting in a positive derivative y'. When y is less than 0 or greater than 9, the expression becomes negative, leading to a negative derivative y'.

Therefore, the autonomous differential equation dy/dt = y(9 - y) satisfies all the specified properties.

Learn more about autonomous differential equations here:

https://brainly.com/question/30650837

#SPJ11

(A) n3+10*2n expressed in big-O notation is O(n3).

(B) n2+3log2⁡n expressed in big-O notation is O(n2).

(C) 5nlog2⁡n+2n2 expressed in big-O notation is O(n2).

(D) 1+2+3+…+(n−1)+n can be simplified as 1+2+3+…+n and using the formula for the sum of an arithmetic series, we have n(n+1)/2. Therefore, its big-O notation is O(n2).

(E) The code fragment can be written as:

                               for(int i=0;i< n;i++){for(int j=0;j< n;j++){ans++;}}

This code fragment has two nested loops.

The outer loop executes n times, while the inner loop also executes n times for each iteration of the outer loop.

Therefore, the code fragment has a time complexity of O(n2) in the Worst case.

Learn more about worst case on the given link:

https://brainly.com/question/31951970

#SPJ11

Answer:

(-1,-6)

Step-by-step explanation:

Use substitution

y=x-5

3x-2(x-5)=9

3x-2x+10=9

x=-1

Plug it in

(-1)-y=5

-y=6

y=-6

Answer:

5 goes into 100 twenty times, so 20% is the answer

hope it helps! :)

Step-by-step explanation:

Answer:

5 goes into 20 four times, and 5 times 4 is 20, so 20% is the answer.

Step-by-step explanation:

Took the test!

Answer:

Same side interior angles theorem

Step-by-step explanation:

 Same-Side Interior Angles Theorem: Sum of the same side of interior angles of parallel lines are supplementary

Answer:

I think it is A

Step-by-step explanation:

Hope this helped have an amazing day!

To find the value of f'(0), we need to determine the quadratic function f(x) that satisfies the given conditions. By using the given information and integrating the function, we can find the value of f'(0).

Let's assume the quadratic function f(x) to be f(x) = ax^2 + bx + c, where a, b, and c are constants.

Given that f(0) = 4, we can substitute x = 0 into the function:

f(0) = a(0)^2 + b(0) + c = c = 4

Therefore, the quadratic function becomes f(x) = ax^2 + bx + 4.

Now, we need to integrate the function ∫ f(x) / x^2(x + 1)^3 dx and determine if it is a rational function.

∫ f(x) / x^2(x + 1)^3 dx = ∫ (ax^2 + bx + 4) / x^2(x + 1)^3 dx

To integrate this expression, we can use partial fraction decomposition. However, since the question asks for the value of f'(0), we can ignore the constant term (4) as it does not affect the derivative.

Now, we have ∫ (ax^2 + bx) / x^2(x + 1)^3 dx.

To determine if the integral is a rational function, we need to check if the degree of the numerator (2) is less than the degree of the denominator (5).

Since the degree of the numerator is less than the degree of the denominator, the integral is a rational function.

Therefore, the value of f'(0) exists and can be determined.

However, the value of f'(0) cannot be directly calculated with the given information. Further information or additional conditions are needed to find the specific value of f'(0).

To learn more about quadratic function  Click Here: brainly.com/question/18958913

#SPJ11

The number of mole of pure 11C (carbon-11) initially present is 0.2727 mole

The mole of a substance is related to it's mass and molar mass according to the following equation

Mole = mass / molar mass

With the above formula, we can obtain the number of mole of pure 11C. Detail below:

From the question given, the following data were obtained:

Mole = mass / molar mass

Mole = 3 / 11

Mole = 0.2727 mole

Therefore, the number of mole of pure 11C initially present is 0.2727 mole

Learn more about mole:

https://brainly.com/question/13314627

#SPJ4

Answer:

b=37

Step-by-step explanation:

if the angles are supplementary then they will add up to equal 180.

to find b you just subtract 143 from 180 to get 37

Answer:

is the birthdate

Step-by-step explanation:

because very student in the classroom need to give their day to be recorded

Answer:

4 IS THE ANSWER MATE

Step-by-step explanation:

Absolutely, I can do that!

Let's take a look at each statement:

1) f(x) has a y-intercept at (0,2)

To find the y-intercept, we need to set x to 0 and solve for y. Plugging in x = 0 into the equation for f(x), we get:

f(0) = -log(0+4) + 2

f(0) = -log(4) + 2

f(0) = -0.602 + 2

f(0) = 1.398

Since the y-coordinate of the y-intercept is 1.398, not 2, this statement is false.

2) The function -f(x) has a y-intercept at (0,2)

Since the negative sign in front of f(x) reflects the graph of f(x) across the x-axis, we can determine the y-intercept of -f(x) by taking the opposite of the y-intercept of f(x). Since the y-intercept of f(x) is not 2, this statement is also false.

3) As x approaches positive infinity, the function f(x) approaches negative infinity.

The function f(x) is a logarithmic function with a negative coefficient, which means it approaches negative infinity as x approaches positive infinity. Therefore, this statement is true.

4) As x approaches -4 from the right, the function f(x) approaches negative infinity.

As x approaches -4 from the right, the value of f(x) becomes more and more negative without bound, which means that f(x) approaches negative infinity as x approaches -4 from the right. Therefore, this statement is also true.

In summary, statements (1) and (2) are false, while statements (3) and (4) are true.

A. The work done is 300 ft-lbs when a 100 lb rock is lifted to a height of 3 ft.

To calculate the work done, we can use the formula: Work = force x distance x cos(Ф).In this case, the force is the force of gravity acting on the rock, which can be calculated using the formula:

force = m * g

where m is the mass of the rock and g is the acceleration due to gravity (32.17 ft/s^2).

force = 100 lb * 32.17 ft/s^2 = 3,217 ft-lbs

The distance is the height to which the rock is lifted, which is 3 ft.

The angle of the rock to the vertical is 90 degrees, so cos(90) = 0.

So,

Work = force x distance x cos(theta) = 3,217 ft-lbs * 3 ft * 0 = 300 ft-lbs

So, the work done is 300 ft-lbs.

For more questions like Work done  click the link below:

https://brainly.com/question/13662169

#SPJ4

Answer:

a=m+4

a=3+4

a=7

Step-by-step explanation:

hope it helps

mark as brainlist

Answer:

a = 7

Step-by-step explanation:

a = 3 + 4

Answer:

4.5 x − 5.2 = 4

Step-by-step explanation:

The Pigeon Hole Principle states that if there are more objects than containers, then at least one container must contain more than one object. To prove the given statement, we must demonstrate that there exists a positive integer n so that (44^n) - 1 is divisible by 7.

To begin, let's consider the numbers 44^1, 44^2, 44^3, 44^4, and so on. As these numbers are all positive integers, they can be considered as a set of objects. Now, consider the numbers 7, 14, 21, 28, and so on. These can be considered as containers, each one containing one object from the above set.

Since 44^1 is 7, the first container is filled. Furthermore, 44^2 is equal to 7 x (44^1) + 7. Thus, the second container is filled. Similarly, the third container is filled since 44^3 is equal to 7 x (44^2) + 7. This pattern continues, with the nth container being filled with (44^n) - 1.

Therefore, there exists a positive integer n so that (44^n) - 1 is divisible by 7. This satisfies the Pigeon Hole Principle and proves the statement.

Know more about  Pigeon Hole Principle here:

https://brainly.com/question/13263520

#SPJ11

It will take 22 years and 3 months to get the present value of $12,000 invested at 2.3% compounded monthly to get to $20,000 (future value).

The period that it will take the present value to reach a certain future value can be determined using an online finance calculator with the following parameters for periodic compounding.

I/Y (Interest per year) = 2.3%

PV (Present Value) = $12,000

PMT (Periodic Payment) = $0

FV (Future Value) = $20,000

Results:

N = 266.773

266.73 months = 22 years and 3 months (266.73 ÷ 12)

Total Interest = $8,000.00

Learn more about compounded interest at https://brainly.com/question/28020457.

#SPJ1

Answer:

2/3 times he kissed her 1/3 times he missed

Step-by-step explanation:

Hit or miss hehe

If you roll a fair 6-sided die, each of the 6 outcomes (1, 2, 3, 4, 5, 6) is equally likely, with a probability of 1/6. This means that the probability of rolling a particular number, such as 6, is 1/6.

Rolling the die 4 times gives 6 to the power of 4 = 1296 possible outcomes. The probability of not rolling a 6 in one roll is 5/6, so the probability of not rolling a 6 in four rolls is (5/6)^4. This can be calculated as: 5/6 × 5/6 × 5/6 × 5/6 = 625/1296. To find the probability of rolling at least one 6, we can use the principle of imputed probability.

This means that the probability that an event will occur is equal to 1 minus the probability that the event will not occur. In this case, the probability of rolling at least one 6 is 1 - (the probability of rolling no 6). So 1 - 625/1296 = 671/1296 = about 0.518.

Read more about this on brainly.com/question/28192449

#SPJ4

Answer:

b. 75

Step-by-step explanation:

Calculation for how many people must attend the festival

Using this formula

Numbers of people to attend the festival=Expenses/Charges

Let plug in the formula

Numbers of people to attend the festival=($115+$110)/$3

Numbers of people to attend the festival=$225/$3

Numbers of people to attend the festival= 75 people

Therefore the numbers of people that must attend the festival is 75

Answer:

196π

Step-by-step explanation:

14^2=196

196×π

=196π

the researcher can conclude that private hospitals pay more than government-owned hospitals based on the sample data.

To test whether private hospitals pay more than government-owned hospitals, we can use a two-sample t-test with equal variances.

The null hypothesis is that there is no difference in mean salary between the two groups:

H0: μprivate = μgovernment

The alternative hypothesis is that private hospitals pay more than government-owned hospitals:

Ha: μprivate > μgovernment

We can use a significance level of 0.01, which corresponds to a critical value of t = 2.364 (with degrees of freedom = 898).

First, we need to calculate the pooled standard deviation:

Sp = sqrt(((n private - 1)s^2private + (n government - 1)s^2government) / (n private + n government - 2))

where n private and n government are the sample sizes, s^2private and s^2government are the sample variances, and s^2pooled is the pooled variance.

Plugging in the values, we get:

Sp = sqrt(((100-1) * 186^2 + (800-1) * 176^2) / (100 + 800 - 2)) = 176.43

Next, we calculate the test statistic:

t = (x(bar)private - x(bar)government) / (Sp * sqrt(1/n private + 1/n government))

where x(bar)private and x(bar)government are the sample means.

Plugging in the values, we get:

t = (26,800 - 25,400) / (176.43 * sqrt(1/100 + 1/800)) = 3.14

Since our test statistic (3.14) is greater than the critical value (2.364), we reject the null hypothesis and conclude that private hospitals pay more than government-owned hospitals at a significance level of 0.01.

To learn more about sample visit:

brainly.com/question/13287171

#SPJ11

Answer:

-16+4y

Step-by-step explanation:

Answer:

Step-by-step explanation:

step 1 : finding the area of a floor using trapezius area formula

A= \(\frac{(10+14)*6}{2} = \frac{24*6}{2} =72 m^{2} \\\)

step 2 : the problem said 1 litre of paint convers an area of 2.5 m^2, so let's calculate how many liters of paint are needed to paint the floor

\(\frac{72 m^2}{2.5 m^2} = 28.8 litre\\\)

so we need 28.8 litre to paint the floor

step 3 : Each tin is 5 litre of paint so let's calculate how many tins do we need

n=\(\frac{28.8}{5} = 5.76 \\\)

we can't by 5.76 tins so it's 6 tins

step 4 : Each tin costs 21.99 and now we calculate how much 6 tins cost for us

cost = 6 × 21.99 = 131.94

step 5 : Gary has a budget of 150 and the total cost is 131.94. So, Gary has enough money to buy all the paint he needs.

Answer:

The probability of selecting an orange chew is 25/62, and the probability of selecting a peach chew is 13/62. To find the probability that the next chew Lydia removes from the bag will be orange or peach, we add these probabilities:

P(orange or peach) = P(orange) + P(peach) = 25/62 + 13/62 = 38/62

To express this probability as a percent, we divide the numerator by the denominator, then multiply by 100:

P(orange or peach) = 38/62 = 0.6129...

0.6129... × 100 ≈ 61

Therefore, the probability that the next chew Lydia removes from the bag will be orange or peach, expressed as a percent to the nearest whole number, is 61%

To find the equilibrium price and quantity, we need to set the quantity supplied equal to the quantity demanded and solve for the price.

Given:
Q = 200 + 3P (quantity supplied)
Qd = 400 - P (quantity demanded)

Step 1: Set Q = Qd
200 + 3P = 400 - P

Step 2: Solve for P
4P = 200
P = 50

Step 3: Substitute P = 50 back into the equations to find the equilibrium quantity.
Q = 200 + 3(50)
Q = 350

Therefore, the equilibrium price is $50 and the equilibrium quantity is 350.

Now, let's consider the case with a tax on buyers.

Given:
Q° = 400 - (2P + T) (quantity demanded after tax)

Step 1: Set Q° = Q (quantity demanded after tax = quantity supplied)
400 - (2P + T) = 200 + 3P

Step 2: Solve for P
5P + T = 200

Step 3: Substitute T = 20 into the equation and solve for P
5P + 20 = 200
5P = 180
P = 36

Step 4: Substitute P = 36 back into the equations to find the new equilibrium quantity.
Q = 200 + 3(36)
Q = 308

Therefore, the new equilibrium price is $36 and the new equilibrium quantity is 308.

The original equilibrium price and quantity are $50 and 350 respectively. After the tax is placed on buyers, the new equilibrium price and quantity become $36 and 308 respectively.

To know more about equations , visit ;

https://brainly.com/question/31640199

#SPJ11

This student performed better than 68% of the other test-takers in the verbal part and better than 27% in the quantitative part.

Given,

Test-taker scored at the 68th percentile for their verbal grade and at the 27th percentile for their quantitative grade .

Now,

68% percentile : 68% scores equal or less .

27% percentile : 27^ scored equal or less .

Thus option D

This student performed better than 68% of other test taker in verbal and better than 27% in quantitative part .

Know more about percentile,

https://brainly.com/question/2416601

#SPJ12

Answer:

Step-by-step explanation:

Let the submarine's speed be x km/h

the time taken by the submarine is given as 5 hours

the aircraft travels 10km/h faster than the submarine= 15km/h

time taken by the aircraft is 2hours

therefore the distance covered by both vehicles can be described using the expression below

we know that distance=velocity*time, so equating the two vehicles distance to 110km we have

5*x+15*2=110

5x+30=110

solving for x we have

5x=110-30

5x=80

divide both sides by 5 we have

x=80/5

x=40km/h

The submarine's speed is 40km/h