Can anyone explain how to work this equations pls?
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[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &12250\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &6\\ \end{cases} \\\\\\ A=12250(1 - 0.06)^{6}\implies A=12250(0.94)^6\implies A\approx 8450.90[/tex]

Answer:

Soln;

From the given question, We know that:

x= -2

So,

y= 5x+6

= 5*(-2)+6

= -4 Ans

The closest integer value of x where both functions are equal is 1

The equations are given as:

y = 12x + 12

y  = (14)^x

Next, we plot the graph of both equations.

From the attached graph, both functions intersect at:

x = 1.249

Approximate this value

x = 1

Hence, the closest integer value of x where both functions are equal is 1

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The maximum value of the objective function p if p = 180x + 250y is 3020

The coordinates of the feasible region are given as;

(14, 2), (0, 9), (6, 8), and (10, 3)

The objective function is given as:

P = 180x + 250y

Substitute the coordinates of the feasible region in the above function

P = 180 * 14 + 250 * 2 =3020

P = 180 * 0 + 250 * 9 = 2250

P = 180 * 6 + 250 * 8 = 3080

P = 180 * 10 + 250 * 3 = 2550

The maximum value in the above computation is:

P = 180 * 14 + 250 * 2 =3020

Hence, the maximum value of the objective function p if p = 180x + 250y is 3020

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Linear Programming Quiz - Edge

Question 1: D

Question 2: D

Question 3: D

Question 4: B

Question 5: C

Question 6: C

Question 7: D

Question 8: A

Question 9: C

Question 10: C

It says I can't add anymore attachments but the rest are correct trust me

The equivalent equation using the completing the square method is (x+5)² = -2

Quadratic equations are equation that has a degree of 2. Given the equations expressed as:

x^2+10x+27 = 0

Subtract 27 from both sides

x^2+10x = -27

Complete the squares

x^2+10x = -27
x^2+10x + 5^2= -27 + 25
(x+5)² = -2

Hence the equivalent equation using the completing the square method is (x+5)² = -2

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The function that can be used to model the graphed geometric sequence is y = 1555.2(5/6)^x

The standard exponential function is expressed as y = ab^x

Using the coordinates (3, 900) and (4, 750)

Create the equations

900 = ab^3 ............. 1

750 = ab^4 ................. 2

Divide

900/750 = 1/b
b = 75/90
b = 5/6

Determine the value of "a"

900 = a(5/6)^3

900 = (125/216)a

a = 1555.2

Determine the required equation

y = 1555.2(5/6)^x

Hence the function that can be used to model the graphed geometric sequence is y = 1555.2(5/6)^x

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Answer:

a

Step-by-step explanation:

Answer:

D. [tex](x - 5)^{2} = 36[/tex]

Step-by-step explanation:

given equation: [tex]x^{2} - 10x - 11 = 0[/tex]

Answer:

6

Step-by-step explanation:

Answer:

-6, -4

Step-by-step explanation:

I got it right

Step-by-step explanation:

Let the number be X

3×X=3X

Increased by 2

3X+2>0≤-3

1, 4, 6, 9, 15, 4, 3, 12, 11

Answer:

hey!

Step-by-step explanation:

Answer:

I believe the answer is; The median is 4.5 inches.

let me know if this is right for you! :)

Step-by-step explanation:

Answer:

blue i think good luck

Answer: 40x^4 + 56x^3 − 16x − 14

Step-by-step explanation:

1. For any two functions, the derivative of the product of two functions is the first function times the derivative of the second plus the second function times the derivative of the first.

2. The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0.

3. Simplify

4. Multiply 4x^2 + 7x^1 times 6x^2

5. Multiply 2x^3 - 2 times 8x^1 + 7x^0

6. To multiply powers of the same base, add their exponents.

7. Simplify

8. Combine like terms

9. For any term t, t^1 = t

10. For any term t except 0, t^0 = 1

Answer:

Step-by-step explanation:

How many solutions are in 18+6x=20+6x

18+6x=20+6x

take away 6x from both side

18 = 20

the equation has no solution, 18 is not 20.

Answer: Choice D

y-4 = -3(x+1)

========================================================

Explanation:

Let's first find the slope of the line through (-1,4) and (1,-2)

[tex](x_1,y_1) = (-1,4) \text{ and } (x_2,y_2) = (1,-2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-2 - 4}{1 - (-1)}\\\\m = \frac{-2 - 4}{1 + 1}\\\\m = \frac{-6}{2}\\\\m = -3\\\\[/tex]

The slope is -3, which tells us that the answer must be choice D.

Choices A,B, & C can be eliminated because choices A and B have a slope of -13, while choice C has a slope of 3.

Refer to the point-slope format [tex]y-y_1 = m(x - x_1)[/tex] where m is the slope and [tex](x_1,y_1)[/tex] is a point the line goes through.

Answer:  4x - 3y (choice B)

===========================================================

Explanation:

The letter x is a variable, and a placeholder for a number. Which number? We don't know. It's basically a box where a number goes inside.

x represents having 1 box

2x is two boxes, and so on

If we add 3x and 1x, then we'll have four boxes and 3x+1x = 4x

We can only add the x terms together, which we consider to be called "like terms".

The y terms -5y and 2y are the other pair of like terms, which combine to -3y

If you want, you can draw a vertical number line. Start at -5 which is five units below zero. Then move up two spaces to arrive at -3. This is a visual way to demonstrate that -5+2 = -3, and by extension, -5y+2y = -3y

Based on the probability that each gear will fail and the fact that the gears are not linked, the probability that both will fail is 0.4%.

Because the gears are not linked together, the probability that both will fail can be found as:

= Probability that gear fails after 5 years x Probability that gear fails after 10 years

Solving gives:

= 5% x 8%

= 0.4%

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The true statement about the circle with center P is that triangles QRP and STP are congruent, and the length of the minor arc is 11/20π

Given that the circle has a center P

It means that lengths PQ, PR, PS and PT

From the question, we understand that QR = ST.

This implies that triangles QRP and STP are congruent.

i.e.  △QRP ≅ △STP is true

The given parameters are:

Angle, Ф = 99

Radius, r = 1

The length of the arc is:

L = Ф/360 * 2πr

So, we have:

L = 99/360 * 2π * 1

Evaluate

L = 198/360π

Divide

L = 11/20π

Hence, the length of the minor arc is 11/20π

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Using the monthly payment formula, it is found that the amount he will have to pay is given as follows:

a. $151.73.

It is given by:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

In which:

In this problem, the parameters are given as follows:

P = 2513.77, r = 0.1066, n = 1.5 x 12 = 18.

Hence:

r/12 = 0.1066/12 = 0.008883.

[tex]A = 2513.77\frac{0.008883(1 + 0.008883)^{18}}{(1 + 0.008883)^{18} - 1} = 151.73[/tex]

Hence option A is correct.

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The solution to the system of equations is (45, –30)

The equations are given as:

y =-4/5x + 6

y = –30

Substitute y = –30  in y =-4/5x + 6

-30 =-4/5x + 6

Subtract 6 from both sides

-36 = -4/5x

Divide both sides by -4

9 = 1/5x

Multiply both sides by 5

x = 45

So, we have:

(x,y) = (45, –30)

Hence, the solution to the system of equations is (45, –30)

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Answer:

(45, –30)

Step-by-step explanation:

Answer:

  9.45 ounces

Step-by-step explanation:

The formal definition of the standard deviation of a population is that it is the square root of the mean of the squares of the differences between the data values and their mean.

The calculation can be done more simply as the root of the difference between the mean of the squares and the square of the mean. That is the calculation shown in the attachment.

The population standard deviation is about 9.45 ounces.

_____

Additional comment

The easier way to do the calculation is to use the calculator or spreadsheet function that gives the result directly. For the Desmos calculator shown, that function is stdevp(w) for the definition of w that we used. The function has the same name in many spreadsheet programs.

Answer:

6

Step-by-step explanation:

Find the predicted y value when x=1:

[tex]\hat{y}=1.25x-6.25\\\hat{y}=1.25(1)-6.25\\\hat{y}=1.25-6.25\\\hat{y}=-5[/tex]

Find the residual:

[tex]\text{Residual}=\text{Actual Value}-\text{Predicted Value}\\\text{Residual}=y-\hat{y}\\\text{Residual}=1-(-5)\\\text{Residual}=1+5\\\text{Residual}=6[/tex]

Because our residual is positive, this is an indicator that our predicted y value is too low.

Answer:the probabilities of getting a head and a tail are equal to 12 . The probability of getting an even number on a die is 36=12

Step-by-step explanation:because among 6 results there are 3 even numbers.

Answer:

Carolyn

Step-by-step explanation:

Carolyn:

45% = 0.45

We multiply the orignal price with 0.45 to see how much it increased.

[tex]20(0.45) = 9[/tex]

We then add it to the original price

[tex]20+9 =29[/tex]

Emily:

31% = 0.31

We multiply the orignal price with 0.31 to see how much it increased.

[tex]20(0.31) = 6.2[/tex]

We then add it to the original price

[tex]20+6.2=26.2[/tex]

That means that Carolyn is correct.

Step-by-step explanation:

there are 13 out of 52 diamond cards.

and there are 26 out of 52 black cards.

so, for the first card to be diamond the probability is

13/52 = 1/4 = 0.25

but now, he does not put the card back.

he pulls the second card out of 51 possible cards.

the desired cases are still 26.

so, the probability to pull a black card as the second card under the restriction that the first card was a diamond is

26/51 = 0.509803922...

the probability for that combined event is then

1/4 × 26/51 = 26/204 = 13/102 = 0.12745098...

so, c. is the right answer.

Answer:  The answer is 9

Answer:

9% of her monthly income is spent on 'Other expenses'

Step-by-step explanation:

[tex]900+120+80+100+320=1820[/tex]

but if you divide 180 by 2000 you'll get 0.09 but times that by 100 you'll get 9%

Answer:

B

Step-by-step explanation:

Slope is change of y over change of x

Y is going up by 8 and x is going over by 1

Therefore, $8/1 lb

Answer:

4-20(6x-5x)^2+11

(6-5x)^2=11+(-16)

6^2-10x+25=-5

6^2-10x+20