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The function B has a greater rate of change.

What is rate of change?

How quickly something changes over time is referred to as its rate of change, or ROC. Therefore, rather than the size of each change individually, it is the rate—or the acceleration or deceleration of changes. In finance, rate of change is employed to comprehend price returns and spot trend momentum.

First to find the rate of change for function A.

Rate of change = \(\frac{0-5}{2.5-1.5} = \frac{-5}{1}=-5\)

Function A has rate of change is -5.

Now consider, the second equation

y = -4.5x + 15

Since, the slope is rate of change for the equation.

So, function B has rate of change of -4.5

Now compare the rate of change for both the functions A and B

-5 < -4.5

Therefore, function B have greater rate of change.

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Answer:

  (x, y) = (1, -6)

Step-by-step explanation:

The expression for y given by the first equation can be substituted into the second equation.

  11x +(-8x +2) = 5 . . . substitute for y

  3x +2 = 5 . . . . . . . simplify

  3x = 3 . . . . . . . . . subtract 2

  x = 1 . . . . . . . . . divide by 3

  y = -8×1 +2 = -6 . . . . use the first equation to find y

The solution is (x, y) = (1, -6).

Answer:

D. 12x = -8

Step-by-step explanation:

D. 12(-2/3) = -8

-24/3 = -8

-8 = -8

The production functions provided exhibit various characteristics regarding the marginal returns to capital and labor, the nature of marginal products, increasing or decreasing marginal returns, and returns to scale.

1. F(K, L) = AKαL^(1−α), where 0 < α < 1:

  - Marginal return to capital: αAK^(α−1)L^(1−α)

  - Marginal return to labor: (1−α)AK^αL^−α

  - Marginal product of capital and labor: Positive for both factors

  - Increasing or decreasing marginal returns: Decreasing for both factors

  - Returns to scale: Increasing returns to scale

2. F(K, L, D) = AKαD^γL^(1−γ−α), where 0 < α < 1, 0 < γ < 1:

  - Marginal return to capital: αAK^(α−1)D^γL^(1−γ−α)

  - Marginal return to labor: (1−α−γ)AK^αD^γL^(−α−γ)

  - Marginal return to D: γAK^αD^(γ−1)L^(1−γ−α)

  - Marginal product of capital, labor, and D: Positive for all factors

  - Increasing or decreasing marginal returns: Decreasing for capital and labor, constant for D

  - Returns to scale: Increasing returns to scale

3. F(K, L) = AKαL^(1−α), where 1 < α < 2:

  - Marginal return to capital: αAK^(α−1)L^(1−α)

  - Marginal return to labor: (1−α)AK^αL^−α

  - Marginal product of capital and labor: Positive for both factors

  - Increasing or decreasing marginal returns: Increasing for both factors

  - Returns to scale: Increasing returns to scale

4. F(K, L) = min(K, L):

  - Marginal return to capital: 1 if K < L, 0 if K > L (undefined if K = L)

  - Marginal return to labor: 1 if K > L, 0 if K < L (undefined if K = L)

  - Marginal product of capital and labor: Positive for the smaller factor, zero for the larger factor

  - Increasing or decreasing marginal returns: Undefined due to discontinuity at K = L

  - Returns to scale: Constant returns to scale

5. F(K, L) = αK + (1 − α)L, where 0 < α < 1:

  - Marginal return to capital: α

  - Marginal return to labor: (1 − α)

  - Marginal product of capital and labor: Positive for both factors

  - Increasing or decreasing marginal returns: Constant for both factors

  - Returns to scale: Constant returns to scale

6. F(K, L) = α log K + (1 − α) log L, where 0 < α < 1:

  - Marginal return to capital: α/K

  - Marginal return to labor: (1 − α)/L

  - Marginal product of capital and labor: Positive for both factors

  - Increasing or decreasing marginal returns: Decreasing for both factors

  - Returns to scale: Increasing returns to scale

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There are 2,300 possible 5-topping pizzas that can be made with 14 different toppings and no double-orders of toppings allowed.

If the pizza parlor offers 14 different toppings and no double-orders of toppings are allowed, the number of 5-topping pizzas possible can be calculated using the combination formula:

nCr = n! / (r! × (n-r)!)

where n is the total number of items to choose from (14 toppings in this case) and r is the number of items to be selected (5 toppings for a pizza).

Therefore, the number of 5-topping pizzas possible can be calculated as:

14C5 = 14! / (5! × (14-5)!)

= (14 × 13 × 12 × 11 × 10) / (5 × 4 × 3 × 2 × 1)

= 2002

Therefore, there are 2002 possible 5-topping pizzas that can be ordered from the pizza parlor.

To calculate the number of 5-topping pizzas possible when there are 14 different toppings available and no double-orders of toppings are allowed, we can use the formula for combinations, which is:

n C r = n! / (r! × (n-r)!)

where n is the total number of items, r is the number of items being selected, and ! denotes the factorial operation.

In this case, we have:

n = 14 (the total number of toppings)

r = 5 (the number of toppings being selected)

Plugging these values into the formula, we get:

14 C 5 = 14! / (5! × (14-5)!)

= (14 × 13 × 12 × 11 × 10) / (5 × 4 × 3 × 2 × 1)

= 2,300

To calculate the number of possible 5-topping pizzas, we need to use the combination formula since the order of the toppings doesn't matter. The formula is:

n C r = n! / (r! × (n-r)!)

where n is the total number of items to choose from, r is the number of items to choose, and "!" denotes the factorial function (i.e., the product of all positive integers up to that number).

In this case, n = 14 (the total number of toppings) and r = 5 (the number of toppings to choose).

So, the number of possible 5-topping pizzas is:

14 C 5 = 14! / (5! × (14-5)!)

= (14 × 13 × 12 × 11 × 10) / (5 × 4 × 3 × 2 × 1)

= 2,002,200

Therefore, there are 2,300 possible 5-topping pizzas that can be made with 14 different toppings and no double-orders of toppings allowed.

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Answer:

Step-by-step explanation:

how to convert quinary into binary numbers​?

If this means x in base 5 is equal to y in base 2

You just have to divide in base 5 by 2

Let's take an example.

\((14)_5= (? )_2\\\\\begin{array}{c|c}14&1\\4&0\\2&0\\1&1\\0\\\end {array}\\\\\\\\\)

\(Read\ from\ down\ to\ up ==> 1001\\\\\)

\(Explanation:\\(14)_5=1*5+4=9\ in\ base\ 10\\\\\)

\(in\ base\ 5\\4*2=13 \\14=4*2+1\\4=2*2+0\\2=1*2+0\\1=0*2+1\\\)

\(So\ (14)_5=(1001)_2\\\)

Answer:

8 + 4i

Step-by-step explanation:

according to the bi form, the solution to the expression √4+ √−4+√36 + √−4 would be 8 + 4i

\(y = (1/5) x^5 + Ce^ {(-x^5)}\) is the general solution of the given differential equation.

The given differential equation is:

y' + 5x⁴ y = x⁴

To solve this equation, we can use an integrating factor. First, we need to multiply both sides of the equation by the integrating factor, which is \(e^{(int 5x^4 dx)}\):

\(e^{(int 5x^4 dx) }y' + 5x^{4} e^{(int 5x^4 dx)} y = x^4 e^{(int 5x^4 dx)}\)

The integral of 5x⁴ is (5/5)x⁵ = x, so the integrating factor is \(e^{(x^5)}\):

\(e^{(x^5)} y' + 5x^{4} e^{(x^5)} y = x e^(x^5)\)

Now we can recognize the left-hand side as the product of the derivative of the product of \(e^{(x^5)\)and y:

\((d/dx)[e^{(x^5)} y] = x^4 e^{(x^5)}\)

Integrating both sides with respect to x, we get:

\(e^{(x^5)} y = (1/5) x^5 e^{(x^5)} + C\)

where C is the constant of integration. Dividing both sides by \(e^{(x^5)}\), we get the general solution:

\(y = (1/5) x^5 + Ce^(-x^5)\)

where C is an arbitrary constant.

\(y = (1/5) x^5 + Ce^{(-x^5)}\) is the general solution of the given differential equation.

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Step-by-step explanation:

A1= 3.5×9=31.5

A2=2×2=4

A3=(1/2) × 5×2=5

A4= (1/2)×2×2=2

At=A1+A2+A3+A4

At= 31.5+4+5+2

At=42.5

Answer:

x=-12

Step-by-step explanation:

\(16+\frac{2}{5}x=\frac{-3}{5}x+4\)

Fraction \(\frac{-3}{5}\) can be rewritten as \(-\frac{3}{5}\)  by extracting the negative sign.

\(16+\frac{2}{5}x=-\frac{3}{5}x+4\)

Add \(\frac{3}{5}x\) to both sides.

\(16+\frac{2}{5}x=\frac{3}{5}x+4\)

Combine \(\frac{2}{5}x\) and \(\frac{3}{5}x\) to get \(x\)

\(16+x=4\)

Subtract 16 from both sides.

\(x=4-16\)

Subtract 16 from 4 to get -12

\(x=-12\)

Hope this helps!

~

Answer:

D) 2

Step-by-step explanation:

16 to the fourth root is what?

We need to find what number multiplied by itself 4 times is 16.

That number is TWO.

Answer:I dont understand this question

Step-by-step explanation:but I would say 10 feet

Answer:

10 feet would most likely be the height of a room.

The probability that at least three individuals must be typed to obtain the desired type is 0.25

Finding Probability:

In Mathematics,  Probability is used to predict how likely events can happen. In simple words, it is defined as the ratio between the number of favorable outcomes to the number of total outcomes in a random expriment.

The formula for Probability is given by

P(E) = No of favorable outcomes / Total No. of outcomes          

Here we have,

Four blood donors

Only one of them has the desired blood group

Here we need to find the probability that at least three individuals must be checked to obtain the desired type

As we know,

P(E) = No of favorable outcomes / total outcomes

From the above observations,

Probability of 1 donor (among 3 persons) that not have desired blood group = 3/4  

As one of the donors is already checked

The probability of 2nd donor (from the remaining 3 persons) that not have desired blood group = 2/3    

As 2 donors are already checked  

The probability that 3rd donor that not have desired blood group = 1/2  

The probability that at least three individuals must be checked to obtain the desired type  

p =  \((\frac{3}{4} )( \frac{2}{3} ) ( \frac{1}{2} )\)

= \(\frac{6}{24}\)  = 1/4 = 0.25  

Therefore,  

The probability that at least three individuals must be typed to obtain the desired type is 0.25

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Answer:

Step-by-step explanation:

so

V = energy / q

The potential difference * charge = potential energy change of charge

delta V = 10J/(5*10^-6) = 2*10^6 volts

Answer:

35cm

98°

Step-by-step explanation:

4x+3=6x-13

4x+16=6x

16=2x

8= x

4x+3 = 8*4+3 = 35

9y+17=11y-1

9y+18=11y

18=2y

9=y

9y+17 = 9*9+17= 98°

Okay, let's solve this step-by-step:

1) The two parallelograms are similar. This means they have the same shape and proportions, but different sizes.

2) The area of the larger parallelogram is 288cm2.

3) To find the area of the smaller parallelogram, we need to know the ratio of their sizes. Since they are similar, we can use any two corresponding sides.

4) Let's call the lengths of the sides of the larger parallelogram: a, b

And the lengths of the sides of the smaller parallelogram: x, y

5) Setting up the ratio: a/x = b/y (since they are similar triangles)

6) We know: a = ? (the length of any side of the larger parallelogram) And a/x = ? (the size ratio we need to find the area)

7) Now we also know: The area of the larger parallelogram = 288cm2

=> a * b = 24cm

8) Substitute in the ratio: a/x = 24/x

=> x = 4 (solve for x)

9) Now we know:

The size ratio is a/x = 24/4 = 6

And the area ratio is (a*b)/(x*y) = 6^2 = 36

10) Therefore, the area of the smaller parallelogram = 288/36 = 8cm^2

Does this make sense? Let me know if you have any other questions!

Answer:

25

Step-by-step explanation:

9514 1404 393

Answer:

  acute scalene triangle

Step-by-step explanation:

The largest angle is acute, and all sides are different lengths. The triangle is an acute scalene triangle.

____

The magnitudes of the coordinate differences are ...

  WX = (7, 5), XY = (2, 7), WY = (9, 2)

The two sides that are closest in length are ...

  WX = √(49+25) = √74

  WY = √(81 +4) = √85

Obviously, these are different lengths.

You can get a clue by comparing the numbers whose squares you are adding:

  7^2 +5^2 > 7^2 +2^2 . . . . . WX > XY

  9^2 +2^2 > 7^2 +2^2 . . . . WY > XY

so, the only question is relation between WX and WY. We note that the length of WX is less than one of the coordinate differences of WY, so we know WY is the longest. (√74 < 9)

We can tell from the graph that angle X (opposite longest side WY) is an acute angle, so the triangle is acute.

The number of ways Link can color the triforce so that it remains recognizable and he doesn't color any two triangles the same color if they share a side is 6 ways.

To find the number of ways Link can color the triforce so that it remains recognizable and he doesn't color any two triangles the same color if they share a side, follow the steps below:

1: Color one of the triangles with any of the three colors. There are 3 ways to do this.

2: Color the other two triangles adjacent to the first one with different colors from the first one. There are 2 ways to do this since only two colors are left.

3: Color the remaining triangle with the color that is different from the colors of the other three. There is only one color left to do this.

Therefore, the total number of ways Link can color the triforce so that it remains recognizable and he doesn't color any two triangles the same color if they share a side is:3 × 2 × 1 = 6 ways

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The fund balance at the end of 2019 will be $8,000.

The given problem has four different parts, where we are supposed to calculate the accumulation of funds at the end of 2019 in different scenarios.

Scenario 1In the first scenario, the first deposit is made on December 31, 2016, and interest is compounded annually.

Using the FVA of $1 table; Payment: $2,000n = 4i = 12%

Fund balance 12/31/2019: $9,559

Hence, the fund balance at the end of 2019 will be $9,559.Scenario 2In the second scenario, the first deposit is made on December 31, 2015, and interest is compounded annually.

Using the FVAD of $1 table;Payment: $2,000n = 4i = 12%

Fund balance 12/31/2019: $10,706 Therefore, the fund balance at the end of 2019 will be $10,706.Scenario 3In the third scenario, the first deposit is made on December 31, 2015, and interest is compounded quarterly. Using the FV of the $1 chart, we get the following calculation:

Deposit Date i = n = Deposit Fund Balance 12/31/2015 3% 16 $2,000 $3,20912/31/2016 3% 12 $2,000 $2,85212/31/2017 3% 8 $2,000 $2,53412/31/2018 3% 4 $2,000 $2,251

The interest rate is 3%, and the payment is $2,000. Hence, the fund balance at the end of 2019 will be $10,846.Scenario 4In the fourth scenario, the first deposit is made on December 31, 2015, interest is compounded annually, and interest earned is withdrawn at the end of each year.

Deposit Amount No. of Payments Interest left in Fund Fund Balance 12/31/2019$2,000 $8,000 Hence, the fund balance at the end of 2019 will be $8,000.

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Answer:6 im not to sure

Step-by-step explanation:

The value of the standard deviation of the variance S is equivalent to 250 and the value of the variance (S) is equivalent to 62500.

Given that:

2Ax = 0.08

Ax = 0.2

A fully discrete whole life insurance issued to (x) is 1000.

Firstly we have to find out the value of variance S.

Variance S = (insurance issued)^2 * [2Ax - Ax^2]/(1- Ax)^2

Variance S = (1000)^2 * [0.08 -  0.2^2]/(1- 0.2)^2

Variance S = (1000)^2 * [0.04]/.64

Variance S = (1000)^2 * .0625

Variance S = 62500

Standard deviation of S = (insurance issued) * [\(\sqrt{2Ax - Ax^2}\)]/(1- Ax)

Standard deviation = 1000 * [\(\sqrt{0.08 - 0.2^2}\)]/(1- 0.2)

Standard deviation = 1000 * 0.2/0.8

Standard deviation = 1000 * 1/4 = 250

The value of the standard deviation of the variance S is equivalent to 250 and the value of the variance (S) is equivalent to 62500.

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Answer:

It's 84

Step-by-step explanation:

To calculate the area of a triangule you need to use this formula:

B * H / 2

So:

12 * 14 / 2 = 84

Hope this helps :)

Pls brainliest...

The annual effective rate of interest is approximately 3.218%.

To find the annual effective rate of interest, we can use the formula for the present value of a perpetuity:

PV = C / i

where PV is the present value, C is the cash flow, and i is the interest rate.

In this case, the present value (PV) is given as 0.5 and the cash flow (C) is 1, as the perpetuity pays 1 at the end of every 6 years. Plugging these values into the formula, we have:

0.5 = 1 / i

Rearranging the equation to solve for i, we get:

i = 1 / 0.5

i = 2

So the annual effective rate of interest (i) is 2.

However, since the interest is paid at the end of every 6 years, we need to convert the rate to an annual rate. We can do this by finding the equivalent annual interest rate, considering that 6 years is the period over which the cash flow is received.

To find the equivalent annual interest rate, we use the formula:

i_annual = \((1 + i)^(^1^ /^ n^)\) - 1

where i is the interest rate and n is the number of periods in one year. In this case, n is 6.

Plugging in the values, we have:

i_annual =\((1 + 2)^(^1 ^/^ 6^) - 1\)

i_annual = \((3)^(^1 ^/^ 6^) - 1\)

i_annual ≈ 0.03218

So the annual effective rate of interest (i_annual) is approximately 3.218%.

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Answer: 19.6 feet

Step-by-step explanation:

Using the Pythagorean theorem,

\(x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6\)

Answer:

Step-by-step explanation:

Answer:

Y=4/5x-3

3=4/5x-y

Step-by-step explanation:

Answer:

x = 11.8

Step-by-step explanation:

hypotenuse = 12

1 leg = 10 - 8 = 2

Formula:

a² + b² = c²

a² + 2² = 12²

a² + 4 = 144

a² = 144 - 4

a² = 140

\(\sqrt{a^2} =\sqrt{140}\)

a = 11.8

Answer:

x = 11.8

Step-by-step explanation:

hypotenuse = 12

1 leg = 10 - 8 = 2

Formula:

a² + b² = c²

a² + 2² = 12²

a² + 4 = 144

a² = 144 - 4

a² = 140