What is the range of the function f(x)=x2−3 when the domain is {1, 3, 5}?

Answer: BC/FG and AE/AC

Step-by-step explanation:

Answer:

  $2572.22

Step-by-step explanation:

You want the value of an investment of $2000 after 7 years when it earns interest at 3.6% compounded monthly.

The formula for the account value earning compound interest is ...

  A = P(1 +r/n)^(n·t)

You have P=2000, r=0.036, n=12, t=7, so the account value is ...

  A = $2000(1 +0.036/12)^(12·7) ≈ $2572.22

Among all unbiased estimators which are weighted averages of Y₁, ..., Yₙ, the sample mean as an estimator of population mean is an estimator with lower sampling variances.

The sample mean is known to be an unbiased estimator of the population mean.

Which means that on average, it provides an estimate that is equal to the true population mean.

However, when considering estimators that are weighted averages of the observations.

The sample mean tends to have lower sampling variances compared to other unbiased estimators.

Lower sampling variance is desirable because it indicates less variability in the estimates obtained from different samples.

A lower sampling variance implies that the sample mean is likely to be closer to the population mean, providing a more precise estimate.

Therefore, among unbiased estimators that are weighted averages, sample mean stands out as having a lower sampling variance.

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Answer:

x = 3

Step-by-step explanation:

Given the linear function, f(x) = -4x + 2, for which we must determine the integer value of x that will provide an output of f(x) = -10:

The first step is to substitute the output value, f(x) = -10, into the given function, and solve for its corresponding input value, x:

f(x) = -4x + 2

-10 = -4x + 2

Subtract 2 from both sides:

-10 - 2 = -4x + 2 - 2

-12 = -4x

Divide both sides by -4 to solve for x:

\(\displaystyle\mathsf{\frac{-12}{-4}\:=\:\frac{-4x}{-4} }\)

x = 3

Hence, when x = 3, f(x) = -10.  

Substitute the value of x = 3 into the original function:

f(x) = -4x + 2

f(3) = -4(3) + 2

f(3) = -12 + 2

f(3) = -10  ⇒  f(x) = -10.

Therefore, the input value of x = 3 gives an output value of f(x) = -10.

By analyzing the final simplex tableau, we can establish whether the LP is unbounded, has multiple optimal solutions, or has a unique optimal solution.

(a) Solving the LP graphically:

First, let's graph the constraints:

5x1 + 3x2 ≤ 12

4x1 + 2x2 ≤ 10

x1 + x2 ≤ 4

x1, x2 ≥ 0

Plotting these constraints will create a feasible region bounded by the lines and the non-negativity constraints.

Next, we need to identify the corner points of the feasible region. To do this, we can solve each pair of intersecting lines to find the intersection points.

Once we have the corner points, we can evaluate the objective function z = 5x1 + 3x2 at each corner point to determine the optimal solution point that maximizes z.

(b) Solving the LP using the Simplex Method:

The initial simplex tableau is formed by adding slack variables to the constraints and setting up the objective function row.

After performing the simplex iterations, we can obtain the final simplex tableau and read the optimal solution from it.

(c) Identifying all basic feasible solutions corresponding to each tableau of the Simplex Method and finding the corresponding point in the graph:

In each tableau of the Simplex Method, the basic feasible solutions correspond to the variables that have a value of zero in the objective row.

For each tableau, we can identify the basic feasible solutions and their corresponding points in the graph by setting the non-basic variables to zero and solving for the basic variables.

(d) Determining if the LP is degenerate:

An LP is considered degenerate if there are multiple solutions that give the same optimal objective function value.

To determine if the LP is degenerate, we need to examine the final simplex tableau and check if there are multiple solutions with the same optimal objective function value.

(e) Establishing if the LP is unbounded, has multiple optimal solutions, or has a unique optimal solution:

We can determine if the LP is unbounded, has multiple optimal solutions, or has a unique optimal solution by examining the final simplex tableau.

If there is a column in the objective row with all negative values or a row with all non-positive values, the LP is unbounded.

If the optimal objective function value appears multiple times in the objective row, the LP has multiple optimal solutions.

If the optimal objective function value appears only once and there are no other non-positive values in the objective row, the LP has a unique optimal solution.

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Answer:x=61

Step-by-step explanation​

856−5x3{131}=2

8(x−9)+5(5−18)+1(15−6x)=2

8x−72−65+15−6x=2

2x=122

x=61

sorry if i'm wrong

the total, end price is $10.91

15% of 12 = 1.8 which makes it 10.2

7% of 10.2 = 0.714 which makes 10.91

the end price is $10.91

May I have brainliest please? :)

An example of a complex number in standard form is (5 + 4i), where i is the imaginary unit.

example to solve (x + 5i)(2x - 3i):

Step 1: Multiply the real numbers together:

x × 2x = 2x²

Step 2: Multiply the imaginary numbers together:

5i × -3i = -15i²

Step 3: Multiply the real and imaginary parts together:

x × -3i = -3ix and 2x × 5i = 10xi

Step 4: Add all the terms together:

2x² - 15i² + -3ix + 10xi = 2x² - 15i² - 3ix + 10xi

Step 5: Simplify the terms:

2x² - 15i² - 3ix + 10xi = 2x² - 18ix - 15i²

The product of two complex numbers (x + 5i)(2x - 3i) can be found by multiplying the real numbers together, the imaginary numbers together, and the real and imaginary parts together, then adding all of the terms together and simplifying.

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Answer: She had left 54% of the money which is $1620.

Step-by-step explanation:

40% of $3000 = $1200

15% of $1200 = $180

$3000 - ($1200 + $180)

$3000 - $1380 = $1620

$1620 is the money she had left.

$1620 is 54% of $3000

She had 54% left of the money.

Hope that helped~!

The equation that can be used to find x, the number of spotlights the committee rented is x * C = 800

To solve a first-degree equation, we must find the value of the unknown (which we will call x) and, for this to be possible, just isolate the value of x in equality, that is, x must be alone in one of the members of the equation.

Since the committee spends $800 on spotlights, we can set up the equation:

\(x * C = 800\)

In this equation, x is the number of spotlights rented and C is  the cost per spotlight.

This equation allows us to find the value of x, the number of spotlights rented, by substituting the appropriate value for C.

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Answer:

Step-by-step explanation:

A' is everything what is not A

So:

    A' = {9, 10, 11, 12, 13, 15, 16}

Number of ways it can happen: |A'| = 7

Total number of outcomes: |Ω| = 10

Probability of an event happening:

                                         \(\bold{P(A')=\dfrac{|A'|}{|\Omega|}=\dfrac7{10}=0.7}\)

To find the volume of the solid obtained by rotating the region bounded by y = 1, y = 0, and x = 1 about the y-axis, we can use the cylindrical shell method. Based on the options provided, it seems that the correct expression for the volume is (a) [ (1 - 0) dy.

The region bounded by y = 1, y = 0, and x = 1 is a rectangle with a base of length 1 and height of 1. When this region is rotated about the y-axis, it forms a cylindrical shape. The volume of this solid can be calculated using the cylindrical shell method.

In the cylindrical shell method, we integrate the volume of each cylindrical shell over the range of y-values that define the region. The volume of a cylindrical shell is given by the formula 2πrhΔy, where r is the distance from the y-axis to the shell, h is the height of the shell, and Δy represents the thickness of the shell.

In this case, the distance from the y-axis to the shell is simply x, which is equal to 1. The height of the shell is given by the difference in y-values, which is 1 - 0 = 1. Therefore, the volume of each cylindrical shell is 2π(1)(1)Δy = 2πΔy.

To find the total volume, we integrate this expression with respect to y over the range from y = 0 to y = 1: ∫[0,1] 2πΔy. Integrating this expression gives us the volume of the solid obtained by rotating the region about the y-axis.

Based on the options provided, it seems that the correct expression for the volume is (a) [ (1 - 0) dy.

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1) C = 3.14 × 1 cm

or, C = 3.14 cm

2) C = 2 × 3.14 × 5m

or, C = 3.14 × 10m

or, C = 31.4 m

3) C = 2 × 22/7 × 14 cm

or, C = 28 × 22/7 cm

or, C = 4 × 22 cm

or, C = 88 cm

4) L = 90/360 × 2 × 22/7 × 5 cm

or, L = 1/4 × 10 × 22/7 cm

or, L = 220/28 cm = 55/7 cm

or, L = 7 whole 6/7 cm

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:de

Step-by-step explanation:

Answer:

Pretty sure it's B

Step-by-step explanation:

Answer:

B) 75,000 + 4,800n+ 80,000 + 3,900n

Step-by-step explanation:

I did the quiz ^^

Answer:

region 2 for the first one ad I think 3 for the second one!

Step-by-step explanation

Answer:

Hello! answer: 45 and 45 is a complementary angle and 60 and 30 is a complementary angle

Step-by-step explanation:

Complementary angles are just angles that add up to 90 degrees so... 45 + 45 = 90 60 + 30 = 90 so that is how those are complementary angles.

Hope that helps!

Answer:

angle QRT/angle VRT  and angle SRW/angle WRV

Step-by-step explanation:

QRT and VRT: Both angles are 45 degrees, adding those degrees together gets you 90 degree angles meaning that they are complementary.

SRW and WRV: 60 plus 30 is equal to 90 making them complementary angles as right angles are 90 degrees

Answer:

B

Step-by-step explanation:

The answer is B because it tells you the letter atound triangle.

Answer:

b

Step-by-step explanation:

Answer:

79.3833333333333333333333333333333333333333333333333333333333333333333333333333333333

Step-by-step explanation:

Size of the angle marked xº is 25°.

Given,

ABC and DEFG are parallel.

AEH and BFH are straight lines.

∠CBF = 53°

∠AED = 28°

Therefore,

∠GFH = ∠CBF  (Corresponding Angles)

          = 53°

∠HEF = ∠AED  (Vertically Opposite Angles)

          = 28°

∠GFH + ∠HFE = 180°   (Straight Line)

     53 + ∠HFE = 180

             ∠HFE = 180 - 53

             ∠HFE = 127°

In ΔHFE,

∠HFE + ∠FEH + ∠EHF = 180°

                127 + 28 + x = 180

                        x + 155 = 180

                                  x = 180 - 155

                                  x = 25

Hence, size of the angle marked xº is 25°.

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Answer:

17

Step-by-step explanation:

by the Pythagorean theorem;

8x8 + 15x15 = 289

and the root of 289 is 17

1. It will cost Dave $646.62 to refill his truck's fuel tank.

2. The cost of concrete for Greg's driveway will be $9,720.

3. Total cost of the topsoil needed from suppliers is $726.90 from Holland Growers and $919.55 from Night Growers.

A refill refers to filling something again with more of same thing such as fuel, water etc.

We need to convert the fuel capacity of Dave's truck from gallons to liters.

1 US gallon = 3.78541 liters

So, 180 US gallons will give us:

= 180 * 3.78541 liters

= 681.37 liters

We will calculate total cost of refilling Dave's truck which is:

= 681.37 liters * 0.949 dollars/liter

= $646.62013

= $646.62.

2. To get volume of concrete needed, we will convert thickness of the driveway from inches to meters. 4 inches is equal to 0.1 meters.

The volume of the driveway is:

V = l x w x h

V = 20m x 36m x 0.1m

V = 72 cubic meters

The cost of the concrete for the driveway is:

= Volume x Price per cubic meter

= 72 cubic meters x $135/cubic meter

= $9,720.

3. To get total cost of the topsoil, we have to calculate volume of soil required for each planter box:

Volume = Length x Width x Depth

Volume = 44" x 24" x 18"

Volume = (44/36) yards x (24/36) yards x (18/36) yards

Volume = 1.22 yards³

Since she needs to build 35 planter boxes, the total volume of soil required is:

= 1.22 yards³ x 35

= 42.7 yards³

The cost from Holland Growers will be:

= Total Volume x $17/yd

= 42.7 yards³ x $17/yd

= $726.90

The cost from Night Growers will be:

= Total Volume x $21.50/yd²

= 42.7 yards³ x $21.50/yd²

= $919.55.

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To minimize the variance of the portfolio, the closest option is A) Asset A: 0.4, Asset B: 0.6.

In order to minimize the variance of a portfolio, the weights assigned to each asset should be non-negative and sum up to 1. Option A) Asset A: 0.4, Asset B: 0.6 satisfies these conditions, with weights totaling 1.

Option B) Asset A: 1.3, Asset B: -0.3 violates the requirement of non-negative weights, and Option C) Asset A: 1.2, Asset B: -0.6 also has negative weights and does not sum up to 1.

By allocating 40% to Asset A and 60% to Asset B, we achieve a combination that minimizes the variance of the portfolio while adhering to the constraints of weight allocation.

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Answer:

x = 20

Step-by-step explanation:

Answer:

y = -28

Step-by-step explanation:

21 = -3/4y

so:

-3/4y = 21

divide both sides by -3/4:

(-3/4y)/(-3/4) = 21/(-3/4)

y = -28

Answer:

A single number that estimates the value of an unknown parameter is called a point estimate.

Step-by-step explanation:

Don't see the point (haha) of elaborating

The confidence interval estimate of the change in occupancy for the one-year period is approximately 53.90 to 54.10.

The confidence interval estimate of the change in occupancy for the one-year period can be calculated using the formula:

Change in occupancy = Current year occupancy - Previous year occupancy

First, let's calculate the change in occupancy:
Change in occupancy = 1,512 - 1,458 = 54

Next, we need to calculate the standard error of the change in occupancy. The formula for the standard error is:
Standard error = Square root of [(Current year occupancy rate * (1 - Current year occupancy rate))/Current year total rooms + (Previous year occupancy rate * (1 - Previous year occupancy rate))/Previous year total rooms]

To calculate the occupancy rates:
Current year occupancy rate = Current year occupancy / Current year total rooms
Previous year occupancy rate = Previous year occupancy / Previous year total rooms

Plugging in the values:
Current year occupancy rate = 1,512 / 1,800 ≈ 0.84
Previous year occupancy rate = 1,458 / 1,800 ≈ 0.81

Now we can calculate the standard error:
Standard error = Square root of [(0.84 * (1 - 0.84))/1,800 + (0.81 * (1 - 0.81))/1,800]

Simplifying the equation:
Standard error = Square root of [(0.84 * 0.16)/1,800 + (0.81 * 0.19)/1,800]
Standard error ≈ Square root of (0.001344 + 0.001449)
Standard error ≈ Square root of 0.002793

Standard error ≈ 0.0529

Finally, we can calculate the confidence interval using the formula:

Confidence interval = Change in occupancy ± (Critical value * Standard error)
The critical value depends on the desired confidence level. Let's assume a 95% confidence level, which corresponds to a critical value of 1.96 (for a large sample size).

Confidence interval = 54 ± (1.96 * 0.0529)
Confidence interval = 54 ± 0.1039
Confidence interval ≈ 53.90 to 54.10

Therefore, the confidence interval estimate of the change in occupancy for the one-year period is approximately 53.90 to 54.10.

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Answer:

12 - 5 is 7 so the line would be 7 centimeters

Step-by-step explanation:

Answer:

the answer is 7

Step-by-step explanation:

12-5=7

The probability that a randomly selected adult has an IQ less than 140 is approximately 0.9772 or 97.72%.

To find the probability that a randomly selected adult has an IQ less than 140, we need to calculate the z-score and then use the standard normal distribution table.

The z-score can be calculated using the formula:

z = (x - μ) / σ

In this case, x = 140, μ = 100, and σ = 20.

z = (140 - 100) / 20

z = 40 / 20

z = 2

Now, we can use the standard normal distribution table or a calculator to find the probability associated with a z-score of 2. Looking up the z-score of 2 in the table, we find that the probability is approximately 0.9772.

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