Jennifer’s bank account is modeled by the following equation where x equals the number of weeks andf(x) equals the total balance.f(x) = 12x + 45william's bank account balances after weekly deposits are showing in the following table.Jennifer claims that her bank account is growing at a greater rate of change than William’s bank account. Is Jennifer correct? Justify your reasoning.

The probability of renting exactly three apartments in a week is approximately 0.2018 or 20.18%.

If the average number of units rented per week is 2.3 and the distribution is Poisson, then the parameter lambda is also equal to 2.3.

The probability of renting exactly three apartments in a week is given by the Poisson probability function:

\(P(X = 3) = (e^(-lambda) * lambda^x) / x!\)

Substituting the values, we get:

\(P(X = 3) = (e^(-2.3) * 2.3^3) / 3!\)

P(X = 3) = (0.09963 * 12.167) / 6

P(X = 3) = 0.2018

Therefore, the probability of renting exactly three apartments in a week is approximately 0.2018 or 20.18%.

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The total area of the given shape is 71cm².

The size of a section on a surface is determined by its area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina. A shape's area can be calculated by contrasting it with squares of a known dimension. The square meter (abbreviated as m²), which is the area of a square whose sides are one metre long, is the common measure of area in the International System of Units (SI). Three such squares would be the same size as a shape with a three square metre surface.

The following figure can be divided into a rectangle 7cm x 8cm and a triangle of height and base 6 cm and 5 cm respectively.

Area of rectangle= 7*8= 56 cm²

Area of triangle= 1/2* base*height= 1/2*6*5 = 15 cm²

Total area of shape = 56+15= 71 cm²

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Answer:

start with -29, multiply each term by 3

start with 90, multiply each term by 0.2

start with 67 and multiply each term by 2

The colony has 8576 cells after 7 minutes

Step-by-step explanation:

The pattern for the first part of Q2 is multiply each term by 3.

-29, -87, -261, -783... start with -29, multiply each term by 3

The pattern for the second part of Q2 is multiply each term by 0.2.

90, 18, 3.6, 0.72... start with 90, multiply each term by 0.2

The pattern for the third part of Q2 is multiply each term by 2

start with 67 and multiply each term by 2

The colony has 67×2×2×2×2×2×2×2= 8576 cells after 7 minutes

Answer:

\(n=35\)

Step-by-step explanation:

From the question we are told that:

Standard Deviation \(\sigma=4min\)

Let

\(CI=95\%\)

Since

Significance level \(\alpha\)

\(\alpha =1-CI\)

\(\alpha =1-0.95\)

Therefore

\(Z_{\alpha/2}=Z_{0.025\)

\(Z_{\alpha/2}}=1.96\)

Generally the equation for Sample size is mathematically given by

\(n = (Z_{\alpha/2}* \frac{\sigma}{E})^2\)

\(n= \frac{1.96 * 3}{1}^2\)

\(n=35\)

Answer:

b is the y-intercept

Step-by-step explanation:

Answer:

X÷5y

Step-by-step explanation:

5 x y is 5y and then we divide

The expression for the given phrase is 5y/x.

Given that, x divided by the product of 5 and y.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Here,

The product of 5 and y =5×y

= 5y

x divided by the product of 5 and y

= 5y/x

Therefore, the expression for the given phrase is 5y/x.

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The line of reflection that maps polygon VWXYZ to polygon V'W'X'Y'Z' is the y-axis.

What is polygon?

A polygon is a two-dimensional geometric shape that is made up of straight lines connecting a sequence of points, which are called vertices.

The line of reflection is the y-axis.

We can see this by looking at the relative positions of the vertices of the two polygons.

The vertices of polygon VWXYZ are all located in the top half of the coordinate plane, while the vertices of polygon V'W'X'Y'Z' are all located in the bottom half of the coordinate plane.

When we reflect polygon VWXYZ across the y-axis, each vertex will be reflected to a corresponding point on the opposite side of the y-axis, while maintaining the same distance from the y-axis.

This will result in a new polygon that is congruent to the original polygon, but with opposite orientation.

Similarly, when we reflect polygon V'W'X'Y'Z' across the y-axis, each vertex will also be reflected to a corresponding point on the opposite side of the y-axis, while maintaining the same distance from the y-axis.

This will result in a new polygon that is congruent to the original polygon, but with opposite orientation.

Therefore, the line of reflection that maps polygon VWXYZ to polygon V'W'X'Y'Z' is the y-axis.

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Answer:

x=2 or x=5

Step-by-step explanation:

From the amounts found using simple and compound interest formulas, we found that Carlie earns more interest than Jack by $1009.45.

What is the difference between simple and compound interests?

Simple interest is based on the principal amount, which is the main distinction between it and compound interest. Contrarily, compound interest is calculated using the principle sum and interest that has been compounded over the course of a period. Simple interest is a predetermined proportion of the principal amount borrowed or lent that is paid or received over a set period of time. Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

The complete question is given below.

Given,

  The principal amount deposited by both Jack and Carlie  P = $17,250

The rate of interest r = 6% = 0.06

The time period = 6.5

Jack's account earns annual simple interest and Carlie's account earns annual compound interest.

So the amount in each person's account after a time period of t = 6 years.

Jack:

Amount = P(1+rt) = 17250 ( 1 + 0.06*6) = $23,460

Carlie:

number of times compounded in a year n = 1

Amount = \(P(1 + \frac{r}{n})^{nt}\) = 17250 ( 1+0.06)⁶ = $24,469.45

Therefore from the amounts found using simple and compound interest formulas, we found that Carlie earns more interest than Jack by $1009.45.

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Answer:

Angle D

Step-by-step explanation:

If you flip the triangle upside down, Angle D should be in the same location as Angle A. Congruent triangles will have corresponding congruent angles.

The dilation is (x, y) → (2x, 2y). So, the correct answer is D).

Let the coordinates of point C be (x, y). Then, the distance from the origin to point C is given by the distance formula

OC = √(x² + y²)

The corresponding side lengths are

CG = 16 - x

CD = √((x - 0)² + (y - 0)²)

The scale factor is the ratio of corresponding side lengths

CG/CD = 2

Therefore,

16 - x = 2*√(x² + y²)

Solving for y, we get

y = √(13x² - 64x + 256)

If we assume that point G corresponds to point C, then the center of dilation is the origin and the rule that represents the dilation is

(x, y) → (2x, 2y)

Therefore, the answer is

(x, y) → (2x, 2y)

So, the correct answer is D).

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--The given question is incomplete, the complete question is given

" Quadrilateral ABCD is dilated about the origin into quadrilateral EFGH so that point G is located at (16,8). scale factor is 2.

Which rule represents the dilation?

Select one

(x, y) → (18x, 18y)

(x, y) → (x+8, y+4)

(x, y) → (12x, 12y)

(x, y) → (2x, 2y) "--

Therefore, the equation that has the solutions x = Start Fraction negative 3 plus-or-minus Start Root 3 End Root i Over 2 EndFraction is 2x2 + 6x + 3 = 0.

The equation that has the solutions x = StartFraction negative 3 plus-or-minus StartRoot 3 EndRoot i Over 2 EndFraction is as follows:SolutionUsing the quadratic formula, we can find the solutions to a quadratic equation of the form ax2 + bx + c = 0, where a ≠ 0.

The quadratic formula is given by:

x = (-b ± √(b2 - 4ac)) / 2a

Comparing the equation

2x2 + 6x + 3 = 0

to the general form ax2 + bx + c = 0, we have:

a = 2, b = 6, and c = 3.S

Substituting these values into the quadratic formula, we get:

x = (-b ± √(b2 - 4ac)) / 2a= (-6 ± √(62 - 4(2)(3))) / (2)(2)

= (-6 ± √(36 - 24)) / 4= (-6 ± √12) / 4= (-3 ± √3)i / 2

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Answer:

2x^2 + 6x + 3 = 0

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Answer:

1/6 if rolled on a dice.

Step-by-step explanation:

There are 6 options on a dice, so 6 is the denominator.

There is only one chance to roll a 3, so 1 is the denominator.

Therefore, the answer would be 1/6.

Answer:

200

Step-by-step explanation:

1inch=50miles

Now the distance between two places are 4 inches:

1 *4 inches = 50*4 miles

4inches= 200miles

Answer:

m=(y2-y1) / x2-x1

4-(-4)=8

5-(-7)=12

12/8

Step-by-step explanation:

The three angles are 44, 54, and 82 degrees. Since two angles (44 and 44 degrees) have the same measure, the triangle is isosceles.

If the measures of the three angles of a triangle are x, x + 10, and 2x - 6, the triangle must be isosceles.

In a triangle, the sum of the angles is always 180 degrees. Therefore, we can set up the equation:

x + (x + 10) + (2x - 6) = 180

Combine the terms:

4x + 4 = 180

Subtract 4 from both sides:

4x = 176

Divide by 4:

x = 44

Now, we can find the measures of the other two angles:

x + 10 = 44 + 10 = 54
2x - 6 = 2(44) - 6 = 88 - 6 = 82

The three angles are 44, 54, and 82 degrees. Since two angles (44 and 44 degrees) have the same measure, the triangle is isosceles.

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The missing information that we need to establish a side angle side congruence is that ∠C≅∠J.

The congruence of a triangle can be established on three basis;

Side angle side

Angle angle side

Side side side

Now we know from the figure that the sides CL = JK.

It then follows that the missing information that we need to establish a side angle side congruence is that ∠C≅∠J.

Hence, The missing information that we need to establish a side angle side congruence is that ∠C≅∠J.

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If 500 grams of a salt is dissolved and completed with water to 4 liters of solution then the concentration is 125 g/l.

In order to find the concentration in g/L (grams per liter) of a solution,

We divide the amount of solute (in grams) by the volume of the solution (in liters).

In this case, 500 grams of solute have been dissolved and the solution has been completed with water to a total volume of 4 liters.

So, the concentration of the solution is:

⇒ Concentration = (Amount of solute)/(Volume of solution);

⇒ Concentration = (500 g)/(4 L),

⇒ Concentration = 125 g/L

Therefore, the concentration of the solution is 125 grams per liter.

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The given question is incomplete, the complete question is

500 grams of a salt have been dissolved and completed with water to 4 liters of solution. Find the concentration in g/l.

The scatter plot suggests that there is a positive relationship between the flight of stairs and the time taken to descend them, indicating that as the number of stairs increases, it takes longer to descend them.

The scatter plot is a graphical representation of the relationship between the flight of stairs and the time taken to descend them. Based on the scatter plot, we can make some observations about the relationship between these variables.

Positive Correlation: The scatter plot suggests a positive correlation between the flight of stairs and the time taken to descend them. As the number of stairs increases, the time taken to descend also tends to increase. This indicates that there is a direct relationship between these variables.

Linear Relationship: The scatter plot appears to show a roughly linear relationship between the flight of stairs and the time taken to descend them. The points on the scatter plot roughly follow a straight line pattern, indicating that the relationship between these variables can be approximated by a linear equation.

Variability: Although there is a general positive trend, there is also some variability in the data points. This suggests that factors other than just the number of stairs might also influence the time taken to descend, such as individual differences in walking speed or physical fitness.

Overall, the scatter plot indicates a positive correlation between the number of stairs and the time required to descend them, demonstrating that the time required to descend stairs increases with the number of stairs.

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Step-by-step explanation:

I suspect you mean

11³ × 11 = ?

11³ ÷ 11 = ?

11³ × 11 = 11⁴

11³ ÷ 11 = 11²

why ?

11³ = 11×11×11

11³ × 11 = 11×11×11 × 11 = 11×11×11×11 = 11⁴

11³ ÷ 11 = 11×11×11 / 11 = 11×11 × 1 = 11×11 = 11²

a) We need to select at least 56 books to guarantee that there are 12 books in the same language.

b) We need to select at least 78  books to guarantee that we have at least one book from each language.

For the given problems, in the first case, there are a total of  12 books of the same language, so we need to consider the least case which is we select 11 books from each language group and still don't have 12 books of the same language,  that moment we select a total of 11 x55 = 55 books, to get a total of 12 books of the same language.

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The final number remaining in this sequence is the number 2.

We start with the first 300 natural numbers written in ascending order. We remove the numbers at odd places, which means we remove all the numbers at positions 1, 3, 5, and so on.

After the first removal, we are left with the numbers at even positions: 2, 4, 6, and so on.

Now, we repeat the process and remove the numbers at odd positions again. We remove numbers at positions 1, 3, 5, and so on from the remaining sequence.

After the second removal, we are left with the numbers at even positions again: 4, 8, 12, and so on.

We can observe that in each removal, the sequence reduces to half its size, and we are left with the numbers at even positions.

Continuing this process, we will eventually reach a point where we have only one number left.

Since we start with 300 numbers, after the first removal, we have 150 numbers. After the second removal, we have 75 numbers. After the third removal, we have 38 numbers. After the fourth removal, we have 19 numbers. After the fifth removal, we have 10 numbers. After the sixth removal, we have 5 numbers. After the seventh removal, we have 3 numbers. After the eighth removal, we have 2 numbers. Finally, after the ninth and last removal, we are left with a single number.

Therefore, the final number remaining in this sequence is the number 2.

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For this  we need to calculate the surface integral over the given region.

The given equation \(x^{2} +y^{2} +z^{2}\)=49 represents a sphere centered at the origin with a radius of 7. The cone \(\sqrt{x} ^{2} +\sqrt{y ^{2}\) is a double cone that shares the same apex with the sphere.

To find the surface area, we can set up a surface integral over the part of the sphere that lies above the cone. We need to parametrize the surface and calculate the magnitude of the surface normal vector.

Using spherical coordinates, we can write the parametric equations for the surface of the sphere as x=7sin∅ cosФ,y=7sin∅sinФ,and z=7cos∅ where ∅ range from 0 to π/2 and Ф range from 0 to 2π.

Next, we calculate the magnitude of the surface normal vector N using the cross product of the partial derivatives of the parametric equations. The surface area element is then given by

dS =INId∅dФ

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Answer:4x4−4x3−16x2+16x

Step-by-step explanation:

The average price in 1992 and 2013 was given. It is required to find the percentage increase in the average price over these years.

Recall that the formula for Percentage Increase is:

Substitute initial price=12500 and final price= 22000 into the formula:

Hence, the percent increase in the average price is 76%.

Answer:

depends on whether or not the dealerships are scammers

Step-by-step explanation:

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 value of x from the given expression is -10

Given the following expression

AC = x + 24,

AB = 2x + 28,

and BC = 6.

Using the addition property, we will have:

AC = AB + BC

Substitute the expression to have:

x+24 = 2x + 28 + 6

x-2x = 34 - 24

-x = 10

x = -10

Hence the value of x from the given expression is -10

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Answer:

X=-10

Step-by-step explanation:

In this case, "X+24" is the sum of "2x+28" and "6"

The correct equation would be:

2x+34=x+24

Now, subtract X from both sides and add 34 to both sides

Now:

x=-10

Hence, -10 is the answer

Based on this evaluation, the correct answer is:

d. "false : 14 is 104"

The value of 's' after the given statement can be determined by evaluating each part of the expression step by step:

1. Evaluate (!true): Since 'true' is negated using the '!' operator, this expression becomes 'false'.

2. Concatenate " : " to "false": The resulting string also becomes "false : ".

3. Calculate (10 + 4): This arithmetic expression is equals to  14.

4. Concatenate "14" to "false : ": The resulting string becomes equal to "false : 14".

5. Finally, concatenate " is 104" to "false : 14": The final value of 's' becomes "false : 14 is 104".

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there no table showing mechanic b. but mechanic a charges a one time fee of $50

35 an hour times 5 hours is 175

the total of 225 -175= $50 as a one time fee

Answer:

$4.80 per day

Step-by-step explanation:

We want the unit rate so take the dollar amount and divide by the number of days

$48/10

$4.80 per day