PLZ HELP!!!!!! It’s due by today .. I will make you the brainliest

Hello!

surface area

= 2(6*2) + 2(4*2) + 4*6

= 2*12 + 2*8 + 24

= 24 + 16 + 24

= 64 square inches

Answer:

To prove that FAB is congruent to ECD, we need to show that they have the same size and shape. Since ABCD is a parallelogram and FBED is a parallelogram, we know that opposite sides of these figures are parallel and equal in length. This means that AB is parallel to ED and is equal in length to ED. Similarly, FB is parallel to DC and is equal in length to DC. Therefore, FAB is congruent to ECD because they have the same size and shape.

Another way to prove this is to use the fact that a diagonal of a parallelogram divides the parallelogram into two congruent triangles. In this case, the diagonal AC of the parallelogram ABCD divides it into two congruent triangles, namely triangles ABC and ACD. Similarly, the diagonal BE of the parallelogram FBED divides it into two congruent triangles, namely triangles BEF and BED. Since triangles ABC and BEF are congruent, and triangles ACD and BED are congruent, we can conclude that FAB is congruent to ECD because they are both composed of two congruent triangles.

The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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The expected number of cards that you need to flip before you see the first ace is known as the expected value or expected number of trials. To find the expected value, you can use the formula:

E = (probability of success) * (number of trials)

Where E is the expected value, probability of success is the probability of seeing an ace on a single card flip, and number of trials is the number of cards that you need to flip.

Since there are 4 aces in a deck of 52 cards, the probability of success is 4/52 = 1/13. Plugging this into the formula above, we get:

E = (1/13) * (number of trials)

To find the expected number of trials, we can solve for number of trials:

number of trials = E / (1/13) = 13 * E

So the expected number of cards that you need to flip before you see the first ace is 13.

The shape formed is rectangle. Length of AD is 5. Perimeter of ABCD is 20. Area of BCD is  \(\sqrt{65}\) .

a) The shape formed is a rectangle.

b) The length of AD can be found using the distance formula:

AD = \(\sqrt{(3-(-2))^{2}+(-3-(-3))^{2} }\)

     = \(\sqrt{5^{2}}\)

     = 5

Therefore, the length of AD is 5.

c) The perimeter of ABCD can be found by adding up the lengths of all four sides:

AB = \(\sqrt{(-2-(-2))^{2}+(2-(-3))^{2} }\)

     = \(\sqrt{5^{2}}\)

     = 5

BC = \(\sqrt{(3-(-2))^{2}+(2-2)^{2} }\)

     = \(\sqrt{5^{2}}\)

     = 5

CD = \(\sqrt{(3-3)^{2}+(-3-2)^{2} }\)

     = \(\sqrt{5^{2}}\)

     = 5

DA = \(\sqrt{(-2-3)^{2}+(-3-(-3))^{2} }\)

      = \(\sqrt{5^{2}}\)

       = 5

Perimeter = AB + BC + CD + DA

                 = 5 + 5 + 5 + 5

                 = 20

Therefore, the perimeter of ABCD is 20.

d) Now join points B and D to form line segment BD. The area of triangle BCD can be found using the formula for the area of a triangle:

Area of BCD = (1/2) * base * height

The base is BD, which has length:

BD = \(\sqrt{(3-(-2))^{2}+(-3-2)^{2} }\)

     = \(\sqrt{65}\)

To find the height, we need to draw a perpendicular line from C to line BD:

The height is the length of the perpendicular line from C to line BD. Since C and D have the same x-coordinate, this perpendicular line will be vertical and have length 2 units (the difference between the y-coordinates of C and D).

Therefore, the height is 2.

Area of BCD = (1/2) * BD * height

                     = (1/2) *  \(\sqrt{65}\) * 2

                     =  \(\sqrt{65}\)

Therefore, the area of BCD is  \(\sqrt{65}\) square units.

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With 82% confidence that the true average weight gain during the December holidays for the sampled adult population is between -1.25 pounds. and 1.47 pounds.

To find the 82% confidence interval for the mean weight gain over the holidays in December, you can use the following formula:

\(CI = xd ± t*(SDd/sqrt(n))\)

where:

xd = average weight change of sample (0.11 lb increase)

SDd = standard deviation of weight difference (5.25 lbs)

n = sample size (23)

t = the critical value of the t distribution with n-1 degrees of freedom and the desired confidence level (82% in this case)

You can use a t-table or a calculator to find the critical value of the t-distribution. With 22 degrees of freedom (n-1) and an 82% confidence level, the critical value is approximately 1.319.

Plugging in the given values ​​gives:

\(CI = 0.11 ± (1.319*(5.25/sqrt(23))) = (-1.25, 1.47)\)

Therefore, we can say with 82% confidence that the true average weight gain during the December holidays for the sampled adult population is between -1.25 pounds. and 1.47 pounds.

Note that the confidence intervals include zero. This means that we cannot reject the null hypothesis that there is no significant difference in weight between mid-November and he early-to-mid-January.

However, this does not necessarily mean no weight gain during his December vacation, as there is individual variation in weight change within the sample.  

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The table with the scale measurements is given by the image shown at the end of the answer.

The measurements are obtained applying the proportion given for each table.

The symbols are given as follows:

For the first table, we have that every inch on the table represents one feet in real life, hence:

For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:

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The area under the standard normal distribution curve between z = 1 and z = 1.73 is 0.1169 (rounded to three decimal places).

To find the area under the standard normal distribution curve between the z-scores of 1 and 1.73, we need to calculate the cumulative probability or area under the curve.

Using a standard normal distribution table or a calculator, we can find the corresponding probabilities for each z-score.

For z = 1:

The cumulative probability or area to the left of z = 1 is approximately 0.8413.

For z = 1.73:

The cumulative probability or area to the left of z = 1.73 is approximately 0.9582.

To find the area between the two z-scores, we subtract the cumulative probability of the lower z-score from the cumulative probability of the higher z-score.

Area = 0.9582 - 0.8413 = 0.1169

Therefore, the area under the standard normal distribution curve between z = 1 and z = 1.73 is 0.1169 (rounded to three decimal places).

The question should be:

The values missed in the question are z = 1, z = 1.73

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Answer:

I think the awsner is 180 deegrees

a) The logistic equation for this problem is L dP/dt = P(1 - P/L), where L = 2000 and Po = 100.

b)  The maximum reproduction rate is 0.03465 times the current population.

a. The logistic equation for this problem is:

L dP/dt = P(1 - P/L)

where L is the carrying capacity of the lake, P is the current population, and dP/dt is the rate of change of the population over time.

We know that at t = 0, P = 100, and one year later at t = 1, P = 200. So we can use this information to find k, which is the growth rate coefficient:

P(t) = L / (1 + (L / Po - 1) * exp(-kt))

200 = L / (1 + (L / 100 - 1) * exp(-k))

200 = L / (1 + (L - 100) * exp(-k))

200 + 200L - 20000 = L * (1 + (L - 100) * exp(-k))

200L -\(L^2\) * exp(-k) + 200L * exp(-k) - 10000 * exp(-k) = 0

\(L^2\) - 400L + 5000 = (L - 200)^2 - 30000

\((L - 200)^2\) = 35000

L = 200 + sqrt(35000) ≈ 223.6

So L ≈ 223.6, and we can use this to find k:

2000 = 223.6 / (1 + (223.6 / 100 - 1) * exp(-k))

20000 + 2000L - 2236 = L * (1 + (L - 100) * exp(-k))

2236 - \(L^2\)  * exp(-k) + 2236 * exp(-k) - 100 * exp(-k) = 0

\(L^2\) - 4472L + 220000 = 0

(L - 2000)(L - 100) = 0

So either L = 2000 or L = 100. We know that L ≠ 100, since we know that the population stabilizes at 2000 after a long time. Therefore, L = 2000, and we can solve for k:

k = -ln((L / Po - 1) / (1 + (L / Po - 1))) / t

k = -ln((2000 / 100 - 1) / (1 + (2000 / 100 - 1))) / 1

k ≈ 0.0693

Therefore, the logistic equation for this problem is:

L dP/dt = P(1 - P/L)

dP/dt = 0.0693P(1 - P/2000)

b. The maximum reproduction rate occurs when the population is halfway to the carrying capacity, or P = L/2. At this point, the equation becomes:

dP/dt = 0.0693P(1 - 0.5)

dP/dt = 0.03465P

Therefore, the maximum reproduction rate is 0.03465 times the current population. For example, if the current population is 1000, the maximum reproduction rate is 34.65 fish per year.

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Full Question : Logistic Equation: L dP dt P(1-2). P() = L - Po Po 1+ 4e ki Where A 1. Fish population in a lake grows according to the logistic law. The initial population of 100 fish and year later it was 200. After a long time fish population stabilized at 2000.

a. Write down the logistic equation for this problem.

b. What is the maximum reproduction rate (fish/year)?

The solution to the expression 4+(−634) is -630

From the question, we have the following parameters that can be used in our computation:

4+(−634)

Rewrite the expression properly

So, we have the following representation

4 + (−634)

Remove the bracket in the above expression

This gives

4 + (−634) = 4 - 634

Evaluate the difference

4 + (−634) = -630

Hence, the solution is -630

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Answer: Ask three before me!

Step-by-step explanation: Ask three before me!

Answer: D

Step-by-step explanation:

This is a 30, 60 and 90 triangle. The side opposite of 30 degrees is 6,

the side opposite of the 90 degree ( the longest side or hypotenuse) is  2 times 6 or 12.

The margin of error for the sample mean income is $392 with a 95% confidence level. The expected value of the sample mean income is $56,000 with a standard error of $200.

a. To compute the margin of error for the sample mean, we can use the formula:

Margin of Error = (Z-score) * (Standard Deviation / Square Root of Sample Size)

Since the standard deviation (σ) is given as $2,000 and the sample size (n) is 100, we need to determine the Z-score corresponding to the desired confidence level. Let's assume a 95% confidence level, which corresponds to a Z-score of approximately 1.96.

Margin of Error = 1.96 * (2000 / √100) = 1.96 * 200 = $392

Therefore, we can expect the sample mean income to be within $392 of the population mean ($56,000) with a 95% confidence level.

b. The Central Limit Theorem states that the sampling distribution of the sample means will be approximately normally distributed, regardless of the shape of the population distribution, as long as the sample size is sufficiently large (typically n ≥ 30).

For the sample mean, the expected value (mean) is equal to the population mean. Therefore, we can expect the sample mean income to be $56,000.

The standard error of the sample mean (also known as the standard deviation of the sampling distribution) can be calculated using the formula:

Standard Error = (Standard Deviation / Square Root of Sample Size)

In this case, the standard error would be:

Standard Error = 2000 / √100 = 200

So, the standard deviation for the sample mean is $200.

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The solution of the given system of equations using the matrix method and elementary transformations are x = -1, y = 3, z = 1/2

Let's represent the given system of equations in matrix form.

{| 2 2x - y + 3z x + 2y - z |, | -4x + 5y + z 10 |, | 4 5 0 |}

To apply elementary row transformations, we can perform operations on the matrix to simplify and solve the system.

Multiply the first row by 2:

{| 4 4x - 2y + 6z 2x + 4y - 2z |, | -4x + 5y + z 10 |, | 4 5 0 |}

Add the second row to the first row:

| 4 4x - 2y + 6z 2x + 4y - 2z |

| 0 3y + 2z 10 |

| 4 5 0 |

Multiply the second row by (1/3):

| 4 4x - 2y + 6z 2x + 4y - 2z |

| 0 y + (2/3)z (10/3) |

| 4 5 0 |

Subtract the first row from the third row:

| 4 4x - 2y + 6z 2x + 4y - 2z |

| 0 y + (2/3)z (10/3) |

| 0 -4x - 6y + 4z -2x - 5y + 2z |

Divide the third row by -2:

| 4 4x - 2y + 6z 2x + 4y - 2z |

| 0 y + (2/3)z (10/3) |

| 0 2x + 3y - 2z x + (5/2)y - z |

Now, the system of equations can be rewritten as:

4x - 2y + 6z = 2x + 4y - 2z

y + (2/3)z = (10/3)

2x + 3y - 2z = x + (5/2)y - z

By Simplifying further:

2x - 6y + 8z = 0

3y + 2z = 10

x + (1/2)y - z = 0

Let us use substitution and elimination method, to solve the equations,

From the second equation, we can solve for y:

3y + 2z = 10

3y = 10 - 2z

y = (10 - 2z) / 3

Substituting this value of y into the third equation:

x + (1/2)((10 - 2z) / 3) - z = 0

x + (5 - z) / 3 - z = 0

x + 5/3 - z/3 - z = 0

x - (4/3)z + 5/3 = 0

x = (4/3)z - 5/3

Now, we can substitute the expressions for x and y into the first equation:

2x - 6y + 8z = 0

2((4/3)z - 5/3) - 6((10 - 2z) / 3) + 8z = 0

(8/3)z - 10/3 - (20 - 4z) + 8z = 0

(8/3)z - 10/3 - 20 + 4z + 8z = 0

(20/3)z - 10/3 = 0

20z - 10 = 0

20z = 10

z = 10/20

z = 1/2

Substituting this value of z back into the expressions for x and y:

x = (4/3)(1/2) - 5/3

x = 2/3 - 5/3

x = -3/3

x = -1

y = (10 - 2(1/2)) / 3

y = (10 - 1) / 3

y = 9/3

y = 3

Therefore, the solution to the system of equations is:

x = -1

y = 3

z = 1/2

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The value of the finite sum equation is,

⇒ S = 5 (3ⁿ - 1)

We have to given that;

Sequence is,

⇒ 10 + 30 + 90 + ..... = 2657200

Now, We get;

Common ratio = 30/10 = 3

Hence, Sequence is in geometric.

So, The sum of geometric sequence is,

⇒ S = a (rⁿ- 1)/ (r - 1)

Here, a = 10

r = 3

Hence, We get;

⇒ S = 10 (3ⁿ - 1) / (3 - 1)

⇒ S = 10 (3ⁿ - 1) / 2

⇒ S = 5 (3ⁿ - 1)

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Answer:

number is 8

Step-by-step explanation:

let n be the number then 4 times the number is 4n and increased by 30 means adding 30 to it , that is 4n + 30

70 decreased by the number means subtracting n fro 70 , 70 - n

then

4n + 30 = 70 - n ( add n to both sides )

5n + 30 = 70 ( subtract 30 from both sides )

5n = 40 ( divide both sides by 5 )

n = 8

By using distributive property we can form an equivalent expression of 8(35) which is,  8(5 + 30)

Distributive property says that, the number multiplied with the bracket is multiplied with each term when open a bracket.

For example, 3(a + b) = 3a + 3b

Given expression,

⇒ 8(35)

We have to make equivalent expression

35 can be break in form of sum of two terms,

⇒ 35 = 30 + 5

⇒  8(35) = 8(5 + 30)

Hence, the equivalent expression is  8(5 + 30)

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Answer:

The inequality is 1+3+2b ≤ 10.

Toni can carry up to 3 books in her backpack.

Step-by-step explanation:

Hope this helps!! <3

Step-by-step explanation:

First you do pie then you will get 616 then you divide 616 by 2 and youll get 308 then yoi do it again and youll get 154

270 = 54 x 4 Hope you have great day!

The interest rate is 10.89%

1. Given,С = 200+ 0.69YI = 80 - 1,000rG = 20NX = 850.09ee = 90M = 115YL = 0.5Y - 200rY = 300Using the equation for National Saving, we get,National Saving = Investment + Government Saving + Net exports(S – I) + (T – G) + (X – M) = 0T = 0, hence (S – I) + (X – M) = 0(1 – t)Y – C – (I + G) + NX = 0Where t = 0, we get,0.5Y – 200r – 200 – 69/100Y + 80 – 850.09e = 0.5Y – 200r – 970.09e – 120 = 0.5Y – 200r – 970.09e – 120 = 0Therefore, Y = 325.0454 - 0.5r + 4.851eThis is the equation for the IS curve.On the other hand, the equation for the LM curve is given by,Ms / P = YL(i)115 / 1 = 0.5Y - 200rTherefore, Y = 400 + 400rThis is the equation for the LM curve.The interest rate is given by the point of intersection of the two curves. Equating Y from both equations, we get,325.0454 - 0.5r + 4.851e = 400 + 400rSolving the above equation for r, we get r = 0.1089 or 10.89%..

The size of the nominal money supply in the new short-run equilibrium is 121.07.

2. From the equilibrium found in Question (1), if the foreign interest rate increases by 0.05, the domestic output will change in two ways, depending on the flexibility of the nominal exchange rate.Flexible Exchange Rates:In this case, the nominal exchange rate will depreciate (e decreases). This will increase net exports and shift the IS curve to the right. The new equilibrium will be at a higher level of output.Real exchange rate will fall.Increase in output will be higher compared to the fixed exchange rate case.Fixed Exchange Rates:In this case, the nominal exchange rate will remain constant. Therefore, there will be no effect on net exports.IS curve will not shift.Real exchange rate will remain unchanged.Increase in output will be less compared to the flexible exchange rate case.The nominal money supply in the new short-run equilibrium will change in the case of Fixed Exchange Rates. In the fixed exchange rate case, the domestic interest rate will increase, leading to an inflow of capital. This will increase the money supply and the LM curve will shift downwards until it intersects the IS curve at the new equilibrium point.

Real exchange rate will remain unchanged.

3. From the equilibrium found in Question (1), if the foreign interest rate increases by 0.05, the domestic output will change in two ways, depending on the flexibility of the nominal exchange rate. Flexible Exchange Rates :In this case, the nominal exchange rate will depreciate (e decreases). This will increase net exports and shift the IS curve to the right. The new equilibrium will be at a higher level of output .Real exchange rate will fall. Value of the real exchange rate in the new equilibrium is 0.891.Fixed Exchange Rates: In this case, the nominal exchange rate will remain constant. Therefore, there will be no effect on net exports.IS curve will not shift.

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The exact value of the definite integral is 1/9.

we assume that the integrand is actually \(y^2 \times y^6,\) which can be simplified to \(y^8.\)

To evaluate the definite integral ∫ from 0 to 1 of \(y^8\) dy using the fundamental theorem of calculus, we first need to find the antiderivative of \(y^8.\)

Using the power rule of integration, we can find that:

\(\int y^8 dy = y^9 / 9 + C\)

where C is the constant of integration.

Then, we can evaluate the definite integral using the fundamental theorem of calculus:

\(\int from 0 $ to 1 of y^8 dy = [y^9 / 9]\) evaluated from 0 to 1

\(= (1^9 / 9) - (0^9 / 9)\)

= 1/9.

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The fundamental theorem of calculus states that if a function is continuous on a closed interval, and if we find its antiderivative, we can evaluate the definite integral over that interval by subtracting the value of the antiderivative at the endpoints.

Applying this theorem to the integral ∫10(y2 y6)dy, we first find the antiderivative of y2 y6, which is y7/7. Evaluating this antiderivative at the endpoints (1 and 0), we get (1/7) - (0/7) = 1/7. Therefore, the exact value of the definite integral is 1/7.
To evaluate the definite integral using the Fundamental Theorem of Calculus, follow these steps:

1. Find the antiderivative of the integrand: The integrand is y^2, so its antiderivative is (1/3)y^3 + C, where C is the constant of integration.

2. Apply the Fundamental Theorem: The theorem states that the definite integral from a to b of a function is equal to the difference between its antiderivative at b and at a. In this case, a = 0 and b = 6.

3. Calculate the antiderivative at b: (1/3)(6)^3 + C = 72 + C.

4. Calculate the antiderivative at a: (1/3)(0)^3 + C = 0 + C.

5. Subtract the antiderivative at a from the antiderivative at b: (72 + C) - (0 + C) = 72.

So, the exact value of the definite integral is 72.

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From the question the transformations that non-rigid is dilation. The correct answer is B.

Any transformation of a geometric object that alters the size but not the shape is referred to as a nonrigid transformation. Examples of non-rigid types of transformation include stretching and dilation. Any action taken on a shape is referred to as a metamorphosis.

Rigid transformation is When a figure undergoes a stiff transformation, its size and shape are left unaltered. Because the image is unchanged, stiff transformations include translations, rotations, and reflections.

As a result, a dilation is a non-rigid transformation because the size of the image is changing.

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Answer:

8

Step-by-step explanation:

18-12

12-X

X=12*12/18

X=8mm

David's installment for the car on hire purchase will be R1,719.91 per month.

To calculate the installment, we need to consider the principal amount borrowed, the interest rate, and the duration of the loan.

First, we calculate the total cost of the car, including VAT and additional fees:

Total Cost = Car Cost + VAT + Documentation and Licence Fees

Total Cost = R75,000 + (R75,000 * 0.15) + R2,000

Total Cost = R75,000 + R11,250 + R2,000

Total Cost = R88,250

Next, we calculate the total interest payable over the loan period:

Total Interest = Principal Amount * Interest Rate * Time

Principal Amount = Total Cost

Interest Rate = 7% per annum = 0.07

Time = 54 months

Total Interest = R88,250 * 0.07 * (54/12)

Total Interest = R2,641.88

Finally, we calculate the monthly installment:

Installment = (Total Cost + Total Interest) / Number of Months

Installment = (R88,250 + R2,641.88) / 54

Installment ≈ R1,719.91 per month

Therefore, David's installment for the car on hire purchase will be approximately R1,719.91 per month.

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Answer: A

Step-by-step explanation:

Answer:

Step-by-step explanation:

I got 22 my friend hope i helped.

Answer:

$18

Step-by-step explanation:

50% of 40 is 20, so 40-20=20

10% of 20 is 2, so 20-2=18

total price=$18

The square root of 100 is 10.

To check, solve 10 x 10.

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