What is direct and inverse property?

Answer:

45

Step-by-step explanation:

Answer:

24496

Step-by-step explanation:

40912 * (1-5%) ^10 = 24495.5

becuase they are humans, so round up to 24496

If the mpc increases in value, the consumption function will become steeper.

What is MPC ?

MPC is an advanced method of process control that is used to control a process while satisfying a set of constraints. In economics, the marginal propensity to consume is a metric that quantifies induced consumption, the concept that the increase in personal consumer spending occurs with an increase in disposable income. The proportion of disposable income which individuals spend on consumption is known as propensity to consume. MPC is the proportion of additional income that an individual consumes.

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The homogeneous system of linear equations has a solution space with a basis of {(1, 2, -1)}. The dimension of the solution space is 1.

To find a basis for the solution space of the given homogeneous system of linear equations, we need to solve the system and express the solutions in terms of a linear combination of vectors.

The system of equations is as follows:

Equation 1: -x + y - z = 0

Equation 2: 2x - y = 0

Equation 3: 2x - 3y - 4z = 0

We can start by using the equations to eliminate variables. From Equation 2, we can express y in terms of x as y = 2x. Substituting this into Equation 1 gives us -x + 2x - z = 0, which simplifies to x - z = 0. Rearranging this equation, we have x = z.

Now, we can express the variables in terms of a single parameter. Let's choose z as the parameter. Thus, x = z and y = 2x = 2z.

Now, we can express the solutions in vector form as (x, y, z) = (z, 2z, z) = z(1, 2, 1). This means that the solution space is spanned by the vector (1, 2, 1).

To find the basis for the solution space, we need to check if the vector (1, 2, 1) is linearly independent. Since it is the only vector spanning the solution space, it is linearly independent. Therefore, the basis for the solution space is {(1, 2, 1)}.

The dimension of the solution space is equal to the number of vectors in the basis, which in this case is 1. Therefore, the dimension of the solution space is 1.

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The number of constraints required at each cut-point for a cubic spline is two, and the total degrees-of-freedom for the curve can be calculated using the formula:

degrees-of-freedom = (number of cubic polynomials) x 4 - (number of cut-points) x 2

When fitting a piecewise polynomial for a regression, the number of constraints required at each cut-point to obtain a cubic spline is two. These two constraints are known as continuity constraints. The first continuity constraint is that the two adjacent cubic polynomials must have the same function value at the cut-point. The second continuity constraint is that the two adjacent cubic polynomials must have the same derivative value at the cut-point. These constraints ensure that the cubic spline is smooth and continuous at each cut-point.
The total degrees-of-freedom for the curve can be calculated by subtracting the total number of constraints from the total number of parameters in the model. For a cubic spline, there are four parameters for each cubic polynomial and two constraints at each cut-point. Therefore, the total degrees-of-freedom for the curve can be calculated using the formula:
degrees-of-freedom = (number of cubic polynomials) x 4 - (number of cut-points) x 2
It is important to note that the number of cut-points is equal to the number of pieces minus one, where a piece refers to a continuous interval in the data that is fitted with a single cubic polynomial.

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The symmetric matrix are 2 and 8, with multiplicities of 2 and 1 respectively.

The given symmetric matrix has eigenvalues of 2 and 8. The eigenvalue 2 has a multiplicity of 2, meaning there are two linearly independent eigenvectors associated with it.

The basis for the eigenspace of 2 is given by the vector (1, 1, 1). On the other hand, the eigenvalue 8 has a multiplicity of 1, indicating only one eigenvector is associated with it.

The basis for the eigenspace of 8 is given by the vectors (-1, 1, 0) and (-1, 1, 0). In summary, the eigenvalues of the symmetric matrix are 2 and 8, with multiplicities of 2 and 1 respectively.

The eigenspace bases are (1, 1, 1) for eigenvalue 2 and (-1, 1, 0) and (-1, 1, 0) for eigenvalue 8.

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Answer:

B

Step-by-step explanation:

I think its B dont quote me

Answer:

B

Step-by-step explanation:

Even though -3.613 has more digits, if you add a zero to -3.63 it becomes -3.630. -3.630 is greater than -3.613.

Answer:

b i think

Step-by-step explanation:

The following a probability model? what do we call the outcome No, the provided information is not sufficient to determine if it is a probability model. The outcome "red" is typically referred to as an event.

A probability model is a mathematical representation of a random experiment, where the sample space is defined, and probabilities are assigned to all possible outcomes. To determine if the given information is a probability model, we would need to know the complete list of possible outcomes, their corresponding probabilities, and ensure that the probabilities meet the necessary conditions (sum up to 1 and are non-negative).

Based on the limited information provided, we cannot determine if it is a probability model. The outcome "red" is called an event in the context of probability.

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Answer:

Somebody once told me the world is gonna roll me

I ain't the sharpest tool in the shed

She was looking kind of dumb with her finger and her thumb

In the shape of an "L" on her forehead

[Pre-Chorus]

Well, the years start coming and they don't stop coming

Fed to the rules and I hit the ground running

Didn't make sense not to live for fun

Your brain gets smart but your head gets dumb

So much to do, so much to see

So what's wrong with taking the backstreets?

You'll never know if you don't go

You'll never shine if you don't glow

[Chorus]

Hey now, you're an all star

Get your game on, go play

Hey now, you're a rock star

Get the show on, get paid

And all that glitters is gold

Only shooting stars break the mold

[Verse 2]

It's a cool place, and they say it gets colder

You're bundled up now, wait 'til you get older

But the meteor men beg to differ

Judging by the hole in the satellite picture

The ice we skate is getting pretty thin

The water's getting warm so you might as well swim

My world's on fire, how 'bout yours?

That's the way I like it and I'll never get bored

[Chorus]

Hey now, you're an all star

Get your game on, go play

Hey now, you're a rock star

Get the show on, get paid

All that glitters is gold

Only shooting stars break the mold

[Interlude]

Go for the moon

Go for the moon

Go for the moon

Go for the moon

[Chorus]

Hey now, you're an all star

Get your game on, go play

Hey now, you're a rock star

Get the show on, get paid

And all that glitters is gold

Only shooting stars

[Verse 3]

Somebody once asked, “could I spare some change for gas?

I need to get myself away from this place"

I said, "Yep, what a concept

I could use a little fuel myself and we could all use a little change"

[Pre-Chorus]

Well, the years start coming and they don't stop coming

Fed to the rules and I hit the ground running

Didn't make sense not to live for fun

Your brain gets smart but your head gets dumb

So much to do, so much to see

So what's wrong with taking the backstreets?

You'll never know if you don't go (Go!)

You'll never shine if you don't glow

[Chorus]

Hey now, you're an all star

Get your game on, go play

Hey now, you're a rock star

Get the show on, get paid

And all that glitters is gold

Only shooting stars break the mold

[Outro]

And all that glitters is gold

Only shooting stars break the mold

Step-by-step explanation:

Answer:

4,000%

Step-by-step explanation:

You can solve this problem by using a proportion.

So to start the proportion draw one line then put an equal sign and draw another line.

Then start filling out the proprtion. in proprtions  your is and of can make it easier to solve the problem

is $10,000_________= ______________

of 5%                                     100%    

First multiply $10,000 dollars by 100%, you get 200,000%

Then divide 200,000% by 5% and you get 4,000%

Answer:

  y = x +3

Step-by-step explanation:

The equation of a parallel line can use the same x- and y-coefficients as the given equation. Only the constant needs to be found to make the line go through the given point.

__

The equation of the given line is ...

  y = x +4

So, the equation of a parallel line will be ...

  y = x +b . . . . . for some y-intercept b

__

Using the given point (x, y) = (-1, 2), we can fill in the values and solve for b.

  2 = -1 +b

  3 = b . . . . . . add 1 to both sides

The desired equation is ...

  y = x +3

Answer:

1 skateboard will cost $73 and the other will cost $72

Step-by-step explanation:

Skateboard A (Original) = X

Skateboard B (+$1) = X + 1

Solving for X

(x + 1) + x = 145

2x + 1 - 1 = 145 - 1

2x = 144

2/2 = x  

144/2 = 72

x = 72

Answer:

(3, 1)

Step-by-step explanation:

Given the following constraints:

2x + 4y ≤ 10

x + 9y ≤ 12

x ≥ 0

y ≥ 0

We have to first graph the above constraints and secondly, we find the  boundary points for the feasible region. This is done by plotting the graphs of 2x + 4y ≤ 10  and x + 9y ≤ 12.

 From the graph, the following points satisfy the constraints:

(0,0) , (3,1) , (0,4/3) , (5,0)

Given that:

P = x + 6y

For (0, 0): P = x + 6y = 0 + 6(0) = 0

For (3, 1): P = x + 6y = 3 + 6(1) = 9

For (0, 4/3) P = x + 6y = 0 + 6(4/3) = 8

For (5, 0) P = x + 6y = 5 + 6(0) = 5

Answer:

9

Step-by-step explanation:

Acellus algebra 2

The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

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I think it helps you..............

The solution to the equation (a - b) / (a + b) = 3/5 in terms of b is a = 4b.

A statement that affirms the equivalence of two expressions joined by the equals symbol "=" is known as an equation.

Your steps are correct, and here's the solution to the equation:

(a - b) / (a + b) = 3/5

To solve for a in terms of b, we cross multiply:

5(a - b) = 3(a + b)

Expanding the brackets, we get:

5a - 5b = 3a + 3b

Simplifying the equation by combining like terms, we get:

5a - 3a = 8b

2a = 8b

Dividing both sides of the equation by 2, we get:

a = 4b

Therefore, the solution to the equation (a - b) / (a + b) = 3/5 in terms of b is a = 4b.

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The complete question is:

The equation given is A = 4b. Please write an appropriate question related to this equation.

Answer:

the square root of 1 is 1. hope this helps

Answer:

The pizza restaurant put 1/10 of the sauce on each pizza.

Step-by-step explanation:

Take the 3/5, and on a calculator divide the 3 by the 5:

0.6

Then, take the 0.6 and divide it by the 6 pizzas:

0.1, converted into a fraction equals 1/10.

The pizza restaurant put 1/10 of the sauce on each pizza.

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Answer:

x+10      x ≠ 60

Step-by-step explanation:

(x^2−50x−600)

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

   (x−60)

Factor the numerator

(x-60)(x+10)

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

(x-60)

Cancel the like terms

x+10

The solution that can be eliminated is (a) the solution –0.2 s can be eliminated because time cannot be a negative value.

The equation is given as:

h(t)) = -16t^2 + 40t + 7

From the question

When h(t) = 0, the values of t are

t = -0.2 and t = 2.7

The t in the function h(t) represents time

As a general rule, time cannot be negative.

This means that the solution t = -0.2 can be eliminated

Hence, the solution that can be eliminated is (a) the solution –0.2 s can be eliminated because time cannot be a negative value.

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Answer:

12x + 9.5y ≤ 220, x + y ≥ 220

Step-by-step explanation:

Answer: $42546.9 will be the earning in 4 years.

Step-by-step explanation:

The equation for compound interest follows:

\(A=P(1+\frac{r}{100})^n\)

where,

A = total amount

P = Principle amount

r =  rate of interest

n = number of years

We are given:

Earnings earned per month = $3250

Earnings earned per year = ($3250 × 12) = $39000

The values become:

\(P=\$39000\\r=2.2\%\\n=4yrs\)

Putting values in above equation, we get:

\(A=39000(1+\frac{2.2}{100})^4\\\\A=\$ 42546.9\)

Hence, $42546.9 will be the earning in 4 years.

Given:

To Determine: The percentage with greater than 24mpg

Solution

Answer:

$29.78

Step-by-step explanation:

30% is written as 0.3 in decimal form.

Find the amount taken off:

$42.54 · 0.3 ≈ $12.76

Then, subtract the original price by the amount taken off

$42.54 - $12.76 = $29.78

Conclusion:

The new price is $29.78

Answer:

V=100.53 inch³

Step-by-step explanation:

V=πr²h

V=22/7 x 2 x 2 x 8

V=100.53 inch³

The simplify value of numeric expression, 3 + 2, after adding 3456 then subtracting 45 and then dividing by 20 is equals the 17.8.

We have an expression of numbers, 3 + 2 we have to apply some arithematic operations on it and determine the final simplfy value. Let the expression be x = 3 + 2, add 3456 in it

=> x = 3 + 2 + 3456

Substracts 45 from above expression

=> x = 3 + 2 + 3456 - 45

Dividing the above expression of x by 20

=>

\(\frac{ x } {20} = \frac{ 3 + 2 + 3456 - 45}{20}\)

\(= \frac{3416}{20}\)

= 17.8

Hence, required simplify value is 17.8.

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Answer:

(-1, 7)

Step-by-step explanation:

Step 1 - Make the two equations equal the same:

3x + y = 4

2x + y = 5

Add 1 to the first equation:

3x + y + 1 = 5

2x + y = 5

3x + y + 1 = 2x + y

Step 2 - Subtract 2x from both sides to isolate y:

3x + y + 1 = 2x + y

3x - 2x + y + 1 = 2x - 2x + y

x + y + 1 = y

Step 3 - Subtract y from both sides:

x + y + 1 = y

x + y - y + 1 = y - y

x + 1 = 0

x = -1

Step 4 - Plug known variable back into the first equation:

3x + y = 4

3(-1) + y = 4

-3 + y = 4

Step 5 - Add 3 to both sides to isolate the y:

-3 + y = 4

-3 + 3 + y = 4 + 3

y = 7

Meaning the two coordinates  are:

x = -1

y = 7

Or:

(-1, 7)

Hope this helps!

Graph both equations

We use the graphical way to solve it

Solution is

Option A

Ordinal-level data have categories with a meaningful order but do not have consistent intervals between values. Interval-level data have consistent intervals between values but do not have a meaningful zero point.

The weights of potatoes grown with special fertilizer can be classified as ratio-level data.

Ratio-level data have a meaningful zero point and allow for the comparison of values using ratios. In the case of potato weights, a weight of zero indicates no weight or an empty condition.

Additionally, ratios can be formed by comparing weights, such as one potato weighing twice as much as another potato.

It is important to note that nominal-level, ordinal-level, interval-level, and ratio-level are the four main levels of measurement in statistics.

Nominal-level data only have categories or labels without any inherent order or numerical value.

Ordinal-level data have categories with a meaningful order but do not have consistent intervals between values.

Interval-level data have consistent intervals between values but do not have a meaningful zero point. Ratio-level data have all the characteristics of interval-level data with the addition of a meaningful zero point.

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Time taken by Miguel car to drive is, 1.6 hour.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

Miguel went for a drive in his new car. He drove at a speed of 53 miles per hour for 84.8 miles.

We know that;

⇒ Speed = Distance / Time

⇒ Time = Distance / Speed

Here, Speed = 53 miles per hour

Distance = 84.8 miles

Hence, We get;

⇒ Time = 84.8 / 53

⇒ Time = 1.6 hour

Thus, Time taken by Miguel car to drive is, 1.6 hour.

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