An event management company purchases a new van. The value of the van, x years after the purchase, is shown in the table. here is the graph: Time (years): 0, 1, 2, 3 Value (dollars): 20000, 18000, 16200, 14580

Answer:

Possible answers:

8 (8x - 2)

(64) x X - 16

4 (16 x- 4)

Equivalent expressions of Expression  64x – 16 are  16 (4x - 4 ) , 8 (8x - 2 ) , 4 ( 16x - 4 ) , 2 ( 32x - 8 )    etc.

The equivalent expressions are the expressions that are the same, even though the expression looks different. But if the values are plugged in the expression, both the expressions give the same result.

According to the question

Expression is  64x – 16.

Equivalent expressions are = 16 (4x - 4 )

                                               = 8 (8x - 2 )

                                               = 4 ( 16x - 4 )

                                               = 2 ( 32x - 8 )    etc.

Hence, some Equivalent expressions of Expression  64x – 16 are  16 (4x - 4 ) , 8 (8x - 2 ) , 4 ( 16x - 4 ) , 2 ( 32x - 8 )    etc.

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It will take 60 hours for the inlet and drainpipe to fill and empty the tank simultaneously, since they work at different rates.

To solve this problem, we need to determine the rate of each pipe and then find the combined rate when both pipes are working together. The inlet pipe can fill the tank in 10 hours, so its rate is 1/10 of the tank per hour. The drainpipe empties the tank in 12 hours, so its rate is 1/12 of the tank per hour. When both pipes work together, their combined rate is (1/10 - 1/12) of the tank per hour. To find the time needed, take the reciprocal of their combined rate: 1 / (1/10 - 1/12) = 60 hours.

When both the inlet and drainpipe work together, it takes 60 hours for the tank to be filled and emptied.

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refer to the picture attached

After 14 days, you will have approximately $2.4414 invested in the stock market.

The amount you will have invested after 14 days can be calculated using the geometric sequence formula. The formula for the nth term of a geometric sequence is given by:

an = a1 x \(r^{(n-1)\)

Where:

an is the nth term,

a1 is the first term,

r is the common ratio, and

n is the number of terms.

In this case, the initial investment is $20,000, and each day the investment loses half of its value, which means the common ratio (r) is 1/2. We want to find the value after 14 days, so n = 14.

Substituting the given values into the formula, we have:

a14 = 20000 x\((1/2)^{(14-1)\)

a14 = 20000 x \((1/2)^{13\)

a14 = 20000 x (1/8192)

a14 ≈ 2.4414

Therefore, after 14 days, you will have approximately $2.4414 invested in the stock market.

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The amount you will have invested after 14 days is given as follows:

$2.44.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term of the sequence.

The parameters for this problem are given as follows:

\(a_1 = 20000, q = 0.5\)

Hence the amount after 14 days is given as follows:

\(a_{14} = 20000(0.5)^{13}\)

\(a_{14} = 2.44\)

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Answer:

12 answer

Step-by-step explanation:

(8x-34)=(5x+2) (correspounding angle)

8x-5x=34+2

3x=36

x=36/3

x=13

Answer:

2

Step-by-step explanation:

You add 2 subtract 3

Answer:

its 2, you add 2 then subtract 3

Step-by-step explanation:

a) The probability of randomly selecting 4 males out of 7 spectators, given that 70% of the spectators are males, can be calculated using the binomial probability formula.

b) To find the probability that at most 5 of the randomly selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females from the total number of selected spectators.

a) To calculate the probability of selecting 4 males out of 7 spectators, we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

- n is the total number of trials (number of people selected)

- k is the number of successful trials (number of males selected)

- p is the probability of success in a single trial (probability of selecting a male)

- C(n, k) is the binomial coefficient, calculated as C(n, k) = n! / (k! * (n - k)!)

In this case, n = 7, k = 4, and p = 0.70 (probability of selecting a male). Therefore, the probability of selecting 4 males out of 7 spectators is:

P(X = 4) = C(7, 4) * (0.70)^4 * (1 - 0.70)^(7 - 4)

b) To find the probability that at most 5 of the selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females. This can be done by summing the individual probabilities for each case.

P(X ≤ 5 females) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

To calculate each individual probability, we use the same binomial probability formula as in part a), with p = 0.30 (probability of selecting a female).

Finally, we sum up the probabilities for each case to find the probability that at most 5 of the selected spectators are females.

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If August 17 is a Sunday, then the first of September will be a Monday.

First, we need to count the number of days between Agust 17 and September 1.

We know that August has 31 days, so between Agust 17 and September 1 there are:

31 - 17 = 14

And adding the other day until September 1, we have 15 days.

So there are 15 days between August 17 and September 1, and we know that the days have a pattern in a period of 7 days.

So, 7 days after August 17, is Sunday again.

Another 7 days (for a total of 14) Is Sunday again.

Adding the last day (total of 15) is Monday.

So we conclude that the first of September will be a Monday.

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Answer:

Part A: We can use the given clues to write a system of equations as follows:

x + y = 17 (Clue 1)

y = 2x + 5 (Clue 2)

Part B: To solve the system of equations, we can use the substitution method, which involves solving one equation for one of the variables and substituting the resulting expression into the other equation. In this case, we can solve the second equation for y:

y = 2x + 5

Then we can substitute this expression for y into the first equation:

x + (2x + 5) = 17

Simplifying and solving for x, we get:

3x + 5 = 17

3x = 12

x = 4

Now that we know x is 4, we can substitute this value back into either equation to solve for y. Using the second equation, we get:

y = 2x + 5

y = 2(4) + 5

y = 13

Therefore, the two numbers that Katie is thinking of are x=4 and y=13.

Answer: The smaller number is 4 and the larger number is 13.

The paper airplane swoops down before rising back up, the paper airplane will crash into the ground at x = 5 seconds.

To find when the paper airplane will crash into the ground, we need to find the time (x) when the height (h) is equal to zero.

So, we need to solve the equation:

\(x^2\) - 12x + 35 = 0

We can factor this equation to get:

(x - 5)(x - 7) = 0

Therefore, the paper airplane will crash into the ground at either x = 5 or x = 7 seconds.

To determine which time is correct, we need to analyze the function. The paper airplane swoops down at a single point to graze the ground before it rises back into the air, which means that the height of the plane will first decrease, reaching a minimum value, and then increase again. This function is a parabola that opens upwards, which means it has a minimum value. We can find the minimum value by finding the x-coordinate of the vertex of the parabola.

The vertex's x-coordinate is supplied by:

x = -b/2a

where a = 1, b = -12, and c = 35.

So, x = -(-12)/2(1) = 6.

Since the vertex occurs at x = 6, and the paper airplane swoops down before rising back up, the paper airplane will crash into the ground at      x = 5 seconds.

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The different arrangements that would be gotten if all science books are put together is =120

The number of science books owned by Annaa= 5

The number of music books owned by Annaa= 3

Total number of books owned by Anna= 8

But the different arrangements that would be gotten if all science books are put together is = 5!

But 5! = 5×4×3×2×1

= 120

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The calculated price is -1558. However, since prices cannot be negative in most real-world scenarios, we need to consider the valid range of prices. None of the options are correct.

To find the price at which sales are equal to Q=10, we need to substitute Q=10 into the inverse demand function P=342-190 and solve for P.

Let's start by substituting Q=10 into the inverse demand function:

P = 342 - 190 * Q

P = 342 - 190 * 10

P = 342 - 1900

P = -1558

The calculated price is -1558. However, since prices cannot be negative in most real-world scenarios, we need to consider the valid range of prices.

Given the options provided (a, 18; b, 36; c, 152; d, 171), we can see that none of them match the calculated price of -1558.

Therefore, none of the options are correct.

It is important to note that the calculated price of -1558 may not be realistic or feasible in the context of the problem. It is possible that there may be some error or inconsistency in the information provided.

If you have any additional information or if there are any constraints or limitations mentioned in the problem, please provide them, and I will be happy to assist you further.

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The plane intercepts on the x,y, z axes are 1, ∞, and 1/2. Hence, the Miller indices for the plane inside the cubic unit cell is (102).

Miller indices are used to specify planes and directions. These planes and directions could be in lattices or crystals. The number of indices will correspond to the size of the lattice or crystal.

In the given graph, the plane intercepts are:

x-intercept : 1

y-intercept : ∞  (since the planes does not intercept y-axes)

z-intercept = 1/2

Take the reciprocal:

1/1 = 1

1/∞ = 0

1/(1/2) = 2

Hence, the miller indices are (102)

The graph in your question is missing. Most likely it was like on the attached picture.

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\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)

Answer: C

Step-by-step explanation:

Answer:

60 degrees

Step-by-step explanation:

a triangle degrees altogether is 180 degrees

80+40=120

so 180-120=60

The correct option of the given statement "Determine the electron pair geometry, molecular geometry for the following compound: SF6" is a) Octahedral/Octahedral.

The electron pair geometry and molecular geometry of a compound are determined by the arrangement of electron pairs around the central atom. In the case of SF6, sulfur (S) is the central atom, and it has six fluorine (F) atoms bonded to it. To determine the electron pair geometry, we need to consider both the bonding and non-bonding electron pairs around the central atom.

Step 1: Count the total number of electron pairs around the central atom.
In SF6, there are six bonding pairs (from the six S-F bonds) and no lone pairs of electrons on the central atom. Therefore, there are a total of six electron pairs.

Step 2: Determine the electron pair geometry.
The electron pair geometry describes the arrangement of all the electron pairs around the central atom, regardless of whether they are bonding or non-bonding pairs. In this case, with six electron pairs, the electron pair geometry is octahedral. This is because an octahedron has six vertices, and each electron pair occupies one of these positions.

Step 3: Determine the molecular geometry.
Molecular geometry considers only the arrangement of the bonding pairs around the central atom. In SF6, all six bonding pairs are attached to fluorine atoms, resulting in a symmetrical arrangement. Therefore, the molecular geometry is also octahedral.


This means that the electron pair geometry and molecular geometry of SF6 are both octahedral, with the sulfur atom at the center and the six fluorine atoms surrounding it in a symmetrical arrangement.

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The value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

(1). angle B = 180 - (22 + 90) {sum of interior angles of a triangle}

angle B = 68°

Given that the triangle ∆ABC is similar to the triangle ∆PQR.

(2). PQ/7.5cm = 12cm/18cm

PQ = (12cm × 7.5cm)/18cm {cross multiplication}

PQ = 5cm

(3). 13cm/BC = 12cm/18cm

BC = (13cm × 18cm)/12cm {cross multiplication}

BC = 19.5cm

(4). area of ∆PQR = 1/2 × 12cm × 5cm

area of ∆PQR = 6cm × 5cm

area of ∆PQR = 30cm²

Therefore, the value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

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Answer:

x = 1 / (1/3 - R)

Step-by-step explanation:

Let's call Robert R, and Juan J.

6R = 1 (think of 1 as 100% of the job done). call 6R = 1 equation '1'.

xJ = 1, J = 1/x (call this equation '2').

if Robert and Juan can do it together in 3 hours, then:

3(R + J) = 1

3R + 3J = 1

3J = 1 - 3R

J = 1/3 - R

1/x = 1/3 - R

x = 1 / (1/3 - R)

The correct answer is A. The standard error of the sample proportion will become larger as the sample size increases.

The standard error is a measure of the variability or uncertainty associated with an estimate. In the case of the sample proportion, it measures the spread or variability in the proportion of successes observed in the sample compared to the true population proportion.

As the sample size increases, the standard error decreases, indicating greater precision in estimating the true population proportion. This is because a larger sample provides more information and reduces the impact of sampling variability.

On the other hand, options B, C, and D are incorrect. The standard error is not affected by the population proportion itself but rather by the sample size. The population proportion approaching 0.50, 1.00, or 0 does not directly impact the standard error, although it may affect other measures such as the margin of error or confidence intervals. The primary factor influencing the standard error is the sample size, with larger samples leading to smaller standard errors.

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Answer: a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation: the y-intercept is where the line meets the y line which in this case is -3. I used slope formula to find the m of the equation ( slope ) take a look at the attached image to see how I solved it.

Answer:

a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation:

Answer:

(6, 5) will be the point after the rule is applied

The required translation as of the given condition is (6, 5).

Given that,
To apply the following rule to the point (-5,6): (x,y)-->(y, -x).

Coordinate, is represented as the values on the x-axis and y-axis of the graph

Translation of a point is defined as changing the location of the point on an arbitrary space with the help of any function and instructions.

Here,
In the question, a rule is mentioned for the transposition of the coordinates,
(x,y)-->(y,-x)
we just need to simply poor the coordinate in the given translation equation,
(-5, 6) - - -> (6, -(-5))
(-5, 6) - - -> (6, 5)

Thus, the required translation as of the given condition is (6, 5).

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Answer

C (Standard Deviation )is the ans

Answer:

Step-by-step explanation:

General knowledge to apply with similar questions

If the scale factor is k, then:

a. The hypothesis is that it rains, and the conclusion is that I get wet. The hypothesis is what is being assumed in the argument, while the conclusion is what is being proven.

b. The hypothesis is that the sun is shining, and the conclusion is that we go hiking and biking. The hypothesis is what is being assumed in the argument, while the conclusion is what is being proven.

c. The hypothesis is that x is greater than zero, and the conclusion is that there exists a y such that y²=0. The hypothesis is what is being assumed in the argument, while the conclusion is what is being proven.

d. The hypothesis is that 2x+1=5, and the conclusion is that either x=2 or x=3. The hypothesis is what is being assumed in the argument, while the conclusion is what is being proven.

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The maximum rectangular area that can be fenced can be

2499 sq meters.

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know for a quadrilateral, A square has the maximum area.

We also know That the product of two numbers is maximum when the difference between them is minimum.

Given, A farmer has 2,000 meters of fencing and wants to use it to create a rectangular area for grazing.

So, 2(l + b) = 2000.

l + b = 1000.

For a square, it would be 500 and 500, But to be a rectangle it can be 49 and 51.

Therefore, The maximum area would be,

= (51×49) sq meters.

= 2499 sq meters.

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Answer:

8

Step-by-step explanation:

\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)

Answer:

b

Step-by-step explanation:

I double checked, its b

The correct answer would be: An angle that turns through 10/360 of a circle has a measure of 10°

The inequality expression is -1/4 < -2/3x and the solution is x < 3/8

From the question, we have the following statement

-1/4 is less than the product of -2/3 and a number.

When the statement is represented as an inequality, we have

-1/4 < -2/3x

Where the number is x

Rewrite the expression properly

So, we have

-2/3x > -1/4

Divide both sides of the inequality by -2/3

So, we have

x < 3/8

Hence, the solution to the inequality is x < 3/8

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