For which values of x will the rational expression below be undefined? Check
all that apply.
(x - 1)(x + 1)
X + 2
A. -1
B. 1
C. -2
D. 2
E. -5
F 5

The correct formula for finding the present value of an investment is given by option D) PV = FV x 1/(1 + r)^n.

The present value (PV) of an investment is the current value of future cash flows discounted at a specified rate. The formula for calculating the present value takes into account the future value (FV) of the investment, the interest rate (r), and the number of periods (n).

Option D) PV = FV x 1/(1 + r)^n represents the correct formula for finding the present value. It incorporates the concept of discounting future cash flows by dividing the future value by (1 + r)^n. This adjustment accounts for the time value of money, where the value of money decreases over time.

In contrast, options A), B), and C) do not accurately represent the present value formula and may lead to incorrect calculations.

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Answer:  4 1/2 slices/friend

Step-by-step explanation:

One pizza = 9 slices

9 slices/2 friends = 4 1/2 slices/friend

Answer:

3

Step-by-step explanation:

because 9×3=3

2 friends and me

Answer:

3

Step-by-step explanation:

Probability that the event can happen = 1/2

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes

Given,

Total outcomes of event = 14

Outcomes, event can happen = 7

Probability

= Favorable Outcomes/Total Outcomes

= 7/14 = 1/2

Hence, 1/2 is Probability that the event occurs.

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Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

Answer:

Step-by-step explanation:

The center of the triangle VWX represented by is are centroid and orthocenter.

The centroid of a triangle is the point where the three medians of the triangle intersect.

This median is a line segment that connects a vertex of the triangle to the midpoint of the opposite side.

We can also call the centroid the center of gravity of the triangle.

On the other hand, the orthocenter of a triangle is the point where the three altitudes of the triangle intersect.

An altitude is a line segment that connects a vertex of the triangle to the opposite side, and is perpendicular to that side.

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Answer:

-4

any more help just ask :)

Answer:

they could possibly have the same number of vertices

True, Monte Carlo simulation is used for statistical sampling where larger number of trials are used for the precise result.

Step by Step Explanation:

Therefore, it is true to have more number of trials in Monte Carlo simulation  statistical sampling for precise result.

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Answer:

y = -1/2x - 1/2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

y = -1/2x + 3/7

Point (-1, 0)

Step 2: Find parallel line

Parallel lines have the same slope as the original but different y-intercepts.

m = -1/2

y = -1/2x + b

0 = -1/2(-1) + b

0 = 1/2 + b

b = -1/2

Step 3: Write parallel line

y = -1/2x - 1/2

The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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Answer:

the 3 one

Step-by-step explanation:

This problem presents a situation where Sara's weekly pay check is equal to $125.52, and we need to calculate how much it'd be if another person got paid 3.2 more.

In order to solve this problem, we need to multiply the value for Sara by 3.2. We have:

Kim's weekly pay check would be equal to $400.8

Answer:

the link dosent work says it have bug in it

Step-by-step explanation:

In summary, while the given data can be analyzed to determine factors that influence scrumptiousness, the design described does not align with a proper 23 factorial design. A suggested approach would be to conduct a complete 23 factorial design with multiple replicates for each combination of factor levels to obtain more reliable and meaningful results.

The given design is described as an "eight replicates of a 23 design." This implies that there are eight batches of brownies tested, with each batch prepared using a combination of three factors (pan material, stirring method, brand of mix) at two levels (low and high). The scrumptiousness ratings are obtained from an eight-person test panel.

a. If we want to maximize the ratings for the brownies with a minimum desirable rating of 10, we need to determine the factor levels that yield the highest ratings. This can be achieved by analyzing the data using appropriate statistical methods, such as factorial analysis of variance (ANOVA) or regression analysis, to identify the significant factors and their levels that impact scrumptiousness.

b. However, it is important to note that the given design does not align with a proper 23 factorial design with eight replicates. In a true 23 design, there would be eight different combinations of the factor levels tested. In this case, there are only two levels for each factor, resulting in a total of 2^3 = 8 possible combinations. However, the given description states that there are only eight batches, which means there is only one replicate of each combination. Therefore, the design is incomplete for a 23 factorial design.

To properly address this issue, a suggested design for this problem would be a complete 23 factorial design with at least two replicates for each combination of factor levels. This would allow for a more robust analysis and interpretation of the effects of each factor on scrumptiousness.

c. Analyzing the average and standard deviation of the scrumptiousness ratings can provide insights into the overall performance and variability of the brownie batches. This analysis is appropriate in assessing the general quality and consistency of the brownies. However, it may not provide detailed information about the specific effects of the factors and their interactions, which can be obtained through a proper factorial design analysis.

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The set of strings that are in both languages, which is {bba, bbab}.

The intersection of the languages specified by (L₁;L₂;) and L₃ is the set of strings that are in both languages.

The language (L₁;L₂;) is formed by concatenating a string from L₁ with a string from L₂. Since L₁ only contains the string "bb", every string in (L₁;L₂;) starts with "bb" and is followed by a string from L₂. Thus, (L₁;L₂;) contains the strings "bba" and "bbab".

The language L₃ contains all strings of length 3 or less over the alphabet {a,b}. Thus, L₃ contains the strings "a", "b", "aa", "ab", "ba", "bb", "aaa", "aab", "aba", "abb", "baa", "bab", "bba", and "bbb".

The intersection of (L₁;L₂;) and L₃ is the set of strings that are in both languages, which is {bba, bbab}.

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The city that has the biggest difference between the maximum and minimum temperatures is Glasgow.

In order to determine which city has the biggest difference, subtract the difference between the minimum temperature from the maximum temperature.

Range = maximum temperature - minimum temperature

Range of Glasgow = 2 - (-8)

2 + 8 = 10

Range of Cardiff = 6 - (-1)

6 + 1 = 7

Range of Exeter = 8 - 0 = 8

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Answer:

-6(2f-g)

Step-by-step explanation:

3f×(-4)-3g×(-2)

3×(-2)×(f×2-g)

3×(-2)×(2f-g)

-6(2f-g)

Recall that the formula for the volume of a sphere of radius R is given by:

Notice that you are given the diameter of the sphere, and not the radius, so make sure we divide by two the measure of the diamtere in order to find the radius:

Radius = 4.2 cm / 2 = 2.1 cm

So we use this value in the above formula to find the volume:

So we round the answer as requested to one decimal as shown below

Volume = 38.8 cm^3

Answer:

Jessica's mum will give her 44.46

Step-by-step explanation:

To solve this, we will first of all need to get the total cost of sending the birthday invitations across. After that, we can now split the cost into two.

Cost of sending birthday invitations:

Package cost = 16.95

Number of packages bought = 4

total sum spent on packages = 4 X 16.95 = 67.8

Each package contains 12 invitations.

There are 4 packages.

Total number of invitations = 12 X 4 = 48 invitations

One stamp cost 0.44.

Putting stamps on all 48 invitations will cost 0.44 X 48 = 21.12

Therefore the total cost will be  the total sum spent on packages +the total sum spent on stamps = 67.8 + 21.12 = 88.92

Her mum has agreed to pay half of this cost which is 88.92 / 2 = 44.46

Answer:

133.33ft

Please see the photo attached.

I hope this helps you

:)

Answer: 48

Step-by-step explanation:

Given

Trapezoid DEFG is dilated by a scale factor of  \(\frac{2}{3}\)

\(E'F'=32\)

Suppose the length of EF is \(x\)

Multiply the side length of DEFG by \(\frac{2}{3}\) to form E'F'

\(\Rightarrow E'F'=x\times \dfrac{2}{3}\\\\\Rightarrow 32=x\times \dfrac{2}{3}\\\\\Rightarrow x=16\times 3\\\Rightarrow x=48\)

\(\therefore EF=48\)

Answer:

The answer is A

Step-by-step explanation: I just took the quiz.

Answer:

A

Step-by-step explanation:

The domain is all real numbers and the range is all real numbers greater than zero

The domain is {x| all real numbers} and the range is {y| y > 0}

The domain of a function is the set of inputs that we can use in the function. To find it, we initially assume that it is the set of all real numbers, and then remove the problematic values of x.

For example, a problematic point would be a value of x that causes the denominator to be equal to zero.

In this particular case, we can see that the variable is in the exponent, thus it can take any real value and it will not cause any problem, so the domain is the set of all real numbers.

The range is the set of possible outputs. Because in this case, the base is a positive number, the outcomes will only be positive, then the range is given by:

y > 0.

So the correct option is A.

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Answer:

The Answers:

-5, 2

2, 2

7, 2

9, 2

Answer:

every box should be marked as 2.