There lies_________ rational numbers between 3 & 6 *​

Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

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Answer: 24,500 ways

Step-by-step explanation:

The number of ways to select 4 appetizers out of 8 is given by the combination C(8,4) = 70. Similarly, the number of ways to select 3 main courses out of 5 is given by C(5,3) = 10, and the number of ways to select 3 desserts out of 7 is given by C(7,3) = 35.

To find the total number of ways to select the full meal consisting of 4 appetizers, 3 main courses, and 3 desserts, we can use the multiplication principle of counting, which states that the total number of ways to perform a sequence of independent tasks is equal to the product of the number of ways to perform each individual task.

Therefore, the total number of ways to select the full meal is given:

70 x 10 x 35 = 24,500

Hence, there are 24,500 ways to select 4 appetizers, 3 main courses, and 3 desserts from the given options.

Answer:

Step-by-step explanation:

The number of ways to select 4 appetizers out of 8 is given by the combination C(8,4) = 70.
Similarly, the number of ways to select 3 main courses out of 5 is given by C(5,3) = 10, and the number of ways to select 3 desserts out of 7 is given by C(7,3) = 35.

To find the total number of ways to select the full meal consisting of 4 appetizers, 3 main courses, and 3 desserts, we can use the multiplication principle of counting, which states that the total number of ways to perform a sequence of independent tasks is equal to the product of the number of ways to perform each individual task.

Therefore, the total number of ways to select the full meal is given:70 x 10 x 35 = 24,500.

Hence, there are 24,500 ways to select 4 appetizers, 3 main courses, and 3 desserts from the given options.

23.55 feet is your answer

Answer:

f(-3) = -8

Step-by-step explanation:

The graph of the given equation is attached below.

The equation of a line in slope-intercept form is expressed as y = mx + b.

Given an xy plane, we are to plot the graph of the given equation

y = -2/3 x + 1

The given equation has a slope of -2/3 and a y-intercept of 1. This shows that the constructed line must cut the y-axis at the point (0, 1).

The graph of the equation is attached below.

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Answer:

504

Step-by-step explanation:

2 to the power of 9 is 512 2 to the power of 3 is 8 so 512-8 is 504 (hope w this helps!)

Answer:

504

Step-by-step explanation:

2^9 = 512

2^3= 8

512-8=504

Answer:

f is 14 And 8 is E

Step-by-step explanation:

so you have to solve the first step of 14 and 8 it is 90 dress angle

Answer:

3 friends

Step-by-step explanation:

4 / 1 1/3 = 4 / 4/3 = 4 x 3/4 = 3 friends

Hope that helps!

Answer:

3 friends.

Step-by-step explanation:

Divide 4 pizzas by 1 1/3. This will get you 3. You can check your work by multiplying 3 by 1/13, which gets you 4 pizzas, therefore proving this answer as correct.

Answer:

x=22000 ( bonds)

Step-by-step explanation:

total money invested=26000 , x for bonds and y stocks

x+y=26000 ⇒ x=26000-y

0.05 x + 0.08 y=1420  solve by substitute : x=26000-y

0.05(26000-y)+0.08 y =1420

1300-0.05y+0.08y=1420

0.03y=1420-1300

y=120/0.03

y= 4000 ( the amount invested in stocks)

the amount invested in bonds x= 26000-4000

x=22000 ( bonds)

check :

0.05(22000)+0.08(4000)= 1420 correct

Answer:

x=−3

Step-by-step explanation:

Move all terms that don't contain

x to the right side and solve.

hope this helps !

Answer: 3.65, 3.7, 323

Step-by-step explanation:

The numbers from least to greatest are as follows:

3.65, 3.7, 323

Hope this helps

Answer:

the third one

Step-by-step explanation:

-5 is the least out of all of them and 6 is the greatest so then you can put the numbers in between

Answer:

A.

Step-by-step explanation:

He already had 100 into the account so we add that, 25x is derived from the fact that x=the amount of months and 25 is the amount per a month he saves.

The common difference of ap = 41/4 and the sum of 200 terms = 204575.

The difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. It also goes by the name Arithmetic Sequence. For instance, the natural number sequence 1, 2, 3, 4, 5, 6,... is an example of an arithmetic progression. It has a common difference of 1 between two succeeding terms (let's say 1 and 2). (2 -1). We can see that the common difference between two subsequent words will be equal to 2 in both the case of odd and even numbers.

We have a3= 5 and a11=87 we have to find the value of d,

n th term of ap= An= a+(n-1)d

A3=5

5=a+2d

87=a+10d

d=41/4 and a=-31/2

the sum of 200 terms when a=3

\(S_n=\frac{n}{2}{(2a+(n-1)d)\\S_{200}=100(6+199*41/4)\\\\S_{200}=204575.\)

The complete question is :-

suppose {an} is arithmetic and a3 = 5, a11 = 87. what is the common difference

And find \(\sum_{3}^{200}ak\),

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Answer:

176

Step-by-step explanation:

Apply PEMDAS

Solve the parenthesis first

11 ( 7 + 9 )

11 ( 16 )

Now open the parenthesis and you will have your answer

11 times 16

176

Answer:

No solution.

Step-by-step explanation:

The two lines are parallel and will never meet. Therefore, they have no solution.

Answer:

Ernest is wrong, because the sandwich can be made in 6 different ways (lunch > sandwich: white bread > cheese, pickles, mayonnaise ; wheat bread > cheese, pickles, mayonnaise) and the lunch can be made in 8 different ways.

If the dead space tidal volume ratio is 0.65 and the tidal volume is 700, the dead space volume would be 455 mL. Dead space volume is calculated by multiplying the tidal volume by the dead space tidal volume ratio.

The dead space tidal volume ratio represents the proportion of the tidal volume that does not participate in gas exchange. To calculate the dead space volume, we multiply the tidal volume by the dead space tidal volume ratio.

Given that the dead space tidal volume ratio is 0.65 and the tidal volume is 700 mL, we can calculate the dead space volume as follows:

Dead space volume = Tidal volume * Dead space tidal volume ratio

Dead space volume = 700 mL * 0.65

Dead space volume = 455 mL

Therefore, the dead space volume would be 455 mL. This means that out of the total tidal volume of 700 mL, 455 mL does not participate in gas exchange and represents the dead space volume.

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Answer:

156 and is greater by 141

Step-by-step explanation:

156>15

156-15=141

Step-by-step explanation:

To compare the two predictions, we need to convert the units of measurement to the same unit. We can do this by converting 15 feet to inches.

1 foot = 12 inches

Therefore, 15 feet = 15 x 12 = 180 inches.

So, the first meteorologist predicted 180 inches of snow.

Now, we can compare the two predictions:

- First meteorologist: 180 inches

- Second meteorologist: 156 inches

The first meteorologist's prediction is greater by:

180 - 156 = 24 inches

Therefore, the first meteorologist's prediction of 15 feet of snow at Mount Rainier is greater than the second meteorologist's prediction of 156 inches of snow by 24 inches.

Answer:

36.81233927

13.02532494

Step-by-step explanation:

You need to use the law of sine for both of them

the law of sine is as follows:

\(\frac{a}{\sin(A)}=\frac{b}{\sin(B)}=\frac{c}{\sin(C)}\)

Question 1:

\(\frac{15}{\sin(64)}=\frac{10}{\sin(y)}\\y=36.81233927\)

Question 2:

Let x= AB

Start by solving for the missing angle, 53

\(\frac{8.4}{\sin(31)}=\frac{x}{\sin(53)}\)

x= 13.02532494

I will leave you to round the answers

Answer:

Step-by-step explanation:

so we can make a system of equations

y=hotdogs

x=hamburgers

you need a combination that sums to 23, so add the two and get 23:

y+x=23

and then you need to account for how much money you have and the cost.

1.50x+1.10y=32.10

still working on it, will edit in rest so that you can see what I did

Let A be a 5×6 real matrix such that rank(A)=5. The statements that are true are B and C. The rows and columns of A are linearly independent.

To determine which statements are true, let's analyze each option:

A. The dimension of the null space of A is equal to 0.

The null space of a matrix consists of all vectors that, when multiplied by the matrix, result in the zero vector. Since the rank of A is 5, it means that the number of linearly independent columns is 5. Therefore, the dimension of the null space, which represents the number of linearly dependent columns, is equal to the total number of columns (6) minus the rank (5), resulting in a dimension of 1. Therefore, statement A is false.

B. The rows of A are linearly independent.

Since the rank of A is 5, it means that there are 5 linearly independent rows. Therefore, statement B is true.

C. The columns of A are linearly independent.

Since the rank of A is 5, it means that there are 5 linearly independent columns. Therefore, statement C is true.

D. The rank of A^T is equal to 6.

The rank of the transpose of a matrix, A^T, is equal to the rank of the original matrix, A. Since the rank of A is given to be 5, the rank of A^T is also 5. Therefore, statement D is false.

E. The dimension of the row space of A is 1.

The row space of a matrix consists of all linear combinations of the rows. Since the rank of A is 5, it means that there are 5 linearly independent rows, and therefore, the dimension of the row space is also 5. Therefore, statement E is false.

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The solution to the differential equation y''(t) = 1 - t^17 with initial condition y(1) = 12 is:

y(t) = (1/2)t^2 - (1/342)t^19 + (217/18)t + (19805/342)

None of the provided options (a, b, c, d) match the correct solution.

To solve the given differential equation y''(t) = 1 - t^17 with the initial condition y(1) = 12, we can integrate the equation twice.

Integrating the equation once will give us y'(t):

y'(t) = ∫(1 - t^17) dt

y'(t) = t - (1/18)t^18 + C₁

Now, we need to apply the initial condition y(1) = 12 to determine the value of the constant C₁:

12 = 1 - (1/18) + C₁

C₁ = 12 + (1/18) - 1

C₁ = 217/18

Next, we integrate y'(t) to find y(t):

y(t) = ∫(t - (1/18)t^18 + 217/18) dt

y(t) = (1/2)t^2 - (1/342)t^19 + (217/18)t + C₂

Finally, we apply the initial condition y(1) = 12 to determine the value of the constant C₂:

12 = (1/2) - (1/342) + (217/18) + C₂

C₂ = 12 - (1/2) + (1/342) - (217/18)

C₂ = (20619 - 1 + 6 - 819)/(342)

C₂ = 19805/342

Therefore, the solution to the differential equation y''(t) = 1 - t^17 with initial condition y(1) = 12 is:

y(t) = (1/2)t^2 - (1/342)t^19 + (217/18)t + (19805/342)

None of the provided options (a, b, c, d) match the correct solution.

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Answer:

30 students are 6th graders

Step-by-step explanation:

3/7×70= 30

About 4.01% of the test scores in the normal distribution that are greater than 90

An equation is an expression that shows the relationship between two or more number and variables.

Z score is given by:

z = (raw score - mean) / standard deviation

Given that mean score is 76, and the standard deviation is 8.

For x > 90:

z = (90 - 76) / 8 = 1.75

P(z > 1.75) = 1 - P(z < 1.75) = 1 -  0.9599 = 0.0401

About 4.01% of the test scores in the normal distribution that are greater than 90

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Answer:

298.15

Step-by-step explanation:

i)  The Cobb-Douglas production function y = \(Ax^1h^1x^2b^2\) is negatively sloped and convex to the origin. ii) These positive signs ensure that the partial derivatives and second-order partial derivatives are positive or non-negative. iii) This equation represents the isocline defined by RTS = 1 for the given Cobb-Douglas production function.

i) To prove that the Cobb-Douglas production function y = Ax^1h^1x^2b^2 is negatively sloped and convex to the origin, we need to show that the partial derivatives with respect to x1 and x2 are positive, and the second-order partial derivatives are non-negative.

Partial derivatives:

∂y/∂x1 = A *\((1 * x^1 * h^1 * x^2b^2) / x1 = A * h^1 * x^2b^2\)

∂y/∂x2 = A *\((1 * x^1 * h^1 * x^2b^2) / x2 = A * x^1 * h^1 * b^2 * x2(b^2-1)\)

The partial derivatives are positive since A, h^1, and x^1 are assumed to be positive parameters.

Second-order partial derivatives:

∂^2y/∂x\(1^2\) = \(A * h^1 * x^2b^2 > 0\)

∂^2y/∂x\(2^2\) = \(A * x^1 * h^1 * b^2 * (b^2-1) * x2(b^2-2) > 0\)

The second-order partial derivatives are non-negative since A, \(h^1,\) and \(b^2\) are assumed to be positive parameters.

Therefore, the Cobb-Douglas production function y = \(Ax^1h^1x^2b^2\) is negatively sloped and convex to the origin.

ii) For the function to be well-behaved, the parameters A, \(h^1,\) and \(b^2\) should have the following signs:

- A should be positive, as it represents the overall productivity level of the production function.

-\(h^1\) should be positive, as it represents the elasticity of output with respect to the input factor x1.

- \(b^2\) should be positive, as it represents the elasticity of output with respect to the input factor x2.

These positive signs ensure that the partial derivatives and second-order partial derivatives are positive or non-negative, leading to a well-behaved and meaningful production function.

iii) The marginal rate of technical substitution (RTS) for a Cobb-Douglas production function is defined as the ratio of the marginal product of one input to the marginal product of the other input:

RTS = (∂y/∂x1) / (∂y/∂x2)

From the partial derivatives calculated earlier, we have:

RTS = \((A * h^1 * x^2b^2) / (A * x^1 * h^1 * b^2 * x2(b^2-1))\)

    =\((x^2b^2) / (x^1 * b^2 * x2(b^2-1))\)

    = \((x^2b^2) / (x^1 * x2(b^2-1))\)

To find the isocline defined by RTS = 1, we set RTS equal to 1:

1 =\((x^2b^2) / (x^1 * x2(b^2-1))\)

Simplifying, we get:

\(x2(b^2-1) = x^1 * x^2b^2\)

This equation represents the isocline defined by RTS = 1 for the given Cobb-Douglas production function.

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Answer:

2824 pigs

Step-by-step explanation:

You divide 101667 by 36. The resulting number, 2824 , rounded to the nearest whole number, 2824, is your answer.