V (x) = (18 - 2x) (24-2x) (x)
what is a reasonable domain for V in this context? ​

Answer:

D.(1,-2)

Step-by-step explanation:

y= -3x+1

when x=1

y= -3*1 +1

y=-3+1

so

y=-2

Answer:

B. y = -6

Step-by-step explanation:

You can graph each line to see which one is horizontal since the y-axis is vertical. This would make the lines perpendicular since when a vertical and horizontal line meet, they form a 90-degree angle, which is by definition what perpendicular means.

Answer:

i think that the answer is b. y=-6

Answer:

5.66 feet

Step-by-step explanation:

a^2 + b^2 = c^2

2^2 +b^2 = 6^2

square root of (36-4) = b

b= 5.66 feet

The value of the car after five years is; £26,203.14

The initial value of the car is given as:

Value =  £32000

When the depreciates in value at 8.5% per annum for the first three years, the new value of the car is:

New =  £32000 (1 - 8.5%)

Evaluate;

New =  £29,280

When the value depreciates by 5.4% after the second year, the new value of the car is:

New =  £29,280 (1 - 5.4%)

Evaluate;

New =  £27,698.88

When the value depreciates by 5.4% after the third year, the new value of the car is:

New =  £27,698.88 (1 - 5.4%)

Evaluate;

New =  £26,203.14

Hence, the value of the car after five years is; £26,203.14

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Answer:

The equation for this problem would be:

z = n * 1.58

This equation shows that the amount of money needed to buy the popcorn is equal to the number of bags purchased, multiplied by the price for each bag.

The infinite series for the given indefinite integral will be as \(\int\ {\frac{cos(x) - 1}{x} } \, dx\) Σ[infinity]n=1  \((-1)^n \frac{x^{2n}}{(2n)} . \frac{1}{(2n)!} + C\).

We know that the infinite series also called as Maclaurin series

the Maclaurin series for cos(x)

cos(x) = Σ[infinity]n=0  \((-1)^n \frac{x^{2n}}{(2n)!}\)

cos(x) = \(1 - \frac{x^2}{2!} + \frac{x^4}{4!} - .. + (-1)^n \frac{x^{2n}}{(2n)!}\)

cos(x) - 1 = Σ[infinity]n=1 \((-1)^n \frac{x^{2n}}{(2n)!}\)

Now, divide both sides by x

cos(x) -1/x = Σ[infinity]n=1 \((-1)^n \frac{x^{2n-1}}{(2n)!}\)

\(\int\ {\frac{cos(x) - 1}{x} } \, dx =\) \(\int { } \,\) Σ[infinity]n=1 \((-1)^n \frac{x^{2n-1}}{(2n)!} dx\)

or \(\int\ {\frac{cos(x) - 1}{x} } \, dx =\) Σ[infinity]n=1 \((-1)^n \frac{x^{2n}}{(2n)} . \frac{1}{(2n)!} + C\)

Therefore, \(\int\ {\frac{cos(x) - 1}{x} } \, dx =\) Σ[infinity]n=1 \((-1)^n \frac{x^{2n}}{(2n)} . \frac{1}{(2n)!} + C\)

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Answer:

y+12=m

Step-by-step explanation:

m (marys mangos)

Answer:

Mary's mangoes = y + 12

Step-by-step explanation:

Let's assume that,

→ Mary's mangoes = x

→ Jason's mangoes = y

The information given,

→ Mary has 12 more mangoes than Jason and Jason has y mangoes.

Now we have to,

→ find the mangoes Mary has now.

Forming the equation,

→ Mary's = Jason's + 12

→ [ x = y + 12 ]

Hence, the answer is x = y + 12.

Answer:

$15.60

Step-by-step explanation:

We can solve this problem easily by adding up Miguel's expenses, and then subtracting them from the amount he started with. Be careful, as he pays $4, not $2, in total for bus fare, because he is paying $2 to and from:

\(6.75+3.65+4.00\)

\(=14.40\)

Let's subtract our sum, \(14.40\), from our total, \(30\):

\(30-14.40\)

\(=15.60\)

Miguel has $15.60 left.

Answer:

4= 40.0    5=10.0 chance

Answer:

a

Step-by-step explanation:

kbhdghggjkljgggjjhgcd Dr

The chi-square distribution provides a good approximation to the sampling distribution of the chi-square statistic if the expected frequency in each cell is at least 5.

The chi-square statistic is a measure of how different an observed frequency is from the expected frequency. It is calculated by taking the difference between the observed and expected frequency in each cell, squaring it, and then summing the results. This measure can then be compared to a chi-square distribution with degrees of freedom equal to the number of cells minus one. If the calculated statistic is larger than the expected value from the chi-square distribution, then it can be concluded that the observed frequency differs significantly from the expected frequency.
In order to use the chi-square approximation, it is important that the expected frequency in each cell is at least 5. This is because the chi-square approximation only works well when there are large expected frequencies. When expected frequencies are smaller than 5, the chi-square statistic is not an accurate measure of the difference between the observed and expected frequencies.

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Janet can customize a car in 630 different ways.

To determine the number of ways Janet can customize a car, we need to multiply the number of options for each customization choice.

Number of car models: 10

Number of exterior colors: 7

Number of interior colors: 9

To calculate the total number of ways, we multiply these numbers together:

Total number of ways = Number of car models × Number of exterior colors × Number of interior colors

= 10 × 7 × 9

= 630

Therefore, the explanation shows that Janet has a total of 630 options or ways to customize her car, considering the available choices for car models, exterior colors, and interior colors.

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Answer:

0.23 or 0.230

Step-by-step explanation:

You can round it by looking at the hundredths place.

Look to the thousandths place, if its 5 or more, you round up, if its 4 or less you round down.

Answer:

the way that you do this is

Step-by-step explanation:

so the number goes from 0 as in the whole number and then the decimal indicates that the whole number getting separated by a whole bunch of other numbers which go by smaller factors they go from ten hundred thousand and so forth so for this equation you have 0.234 the hundreds is the three the reason why is because the two is the tenths and the four is the thousands the reason why it's the thousands is because there's four numbers in the entire number.  so that number (0.234) would be 0.23 rounded to the nearest hundreth because the 4 is less than 5 which makes the number go lower.    If it was 0.238 then the answer would now be 0.24 because it's higher then 5.  please give me brainliest.  

Answer:

C

Step-by-step explanation:

C because x repeats

There are 846720 different values possible for the sum of xyx and yxy.

Let's denote the three digits of xyx as a, b, and c, such that xyx = 100a + 10b + c, and the three digits of yxy as d, e, and f, such that yxy = 100d + 10e + f. Note that x and y are distinct non-zero digits, so a, b, c, d, e, and f are all distinct non-zero digits.

The sum of xyx and yxy is (100a + 10b + c) + (100d + 10e + f), which simplifies to 100(a+d) + 20(b+e) + (c+f).

We want to find how many different values are possible for the sum. Since a, b, c, d, e, and f are all distinct non-zero digits, we can consider each of them separately.

For a given value of a, there are 9 choices for d (since d cannot be equal to a), and once we have chosen d, there are 8 choices for e (since e cannot be equal to either a or d). Similarly, there are 7 choices for f (since f cannot be equal to a, d, or e).

So, for a fixed value of a, the number of possible values of the sum is the number of possible values of (100(a+d) + 20(b+e) + (c+f)), which is simply the number of possible values of (20(b+e) + (c+f)), since 100(a+d) is fixed.

There are 8 choices for b (since b cannot be equal to a), and once we have chosen b, there are 7 choices for c (since c cannot be equal to either a or b). Similarly, there are 6 choices for e (since e cannot be equal to either a, d, or b), and 5 choices for f (since f cannot be equal to either a, d, e, or c).

Therefore, the total number of possible values of the sum is:

9 × 8 × 7 × 8 × 7 × 6 × 5 = 846720

Therefore, there are 846720 different values possible for the sum of xyx and yxy.

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Light bulbs is normally distributed with a variance of 625 and a mean lifetime of 520 hours, we need to calculate the cumulative probability up to 549 hours. The answer will be rounded to four decimal places.

Given a normally distributed lifetime with a mean of 520 hours and a variance of 625, we can determine the standard deviation (σ) by taking the square root of the variance, which gives us σ = √625 = 25.

To find the probability of a bulb lasting for at most 549 hours, we need to calculate the area under the normal distribution curve up to 549 hours. This can be done by evaluating the cumulative distribution function (CDF) of the normal distribution at the value 549, using the mean (520) and standard deviation (25).

The CDF will give us the probability that a bulb lasts up to a certain point. Rounding the result to four decimal places will provide the desired precision.

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The problem involves using normal distribution to find the probability of a given outcome. Using the Z-score, we can determine that the probability of a light bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%

Given the mean (µ) of the lifetime of a bulb is 520 hours. Also, the variance (σ²) is given as 625. Thus, the standard deviation (σ) is the square root of the variance, which is 25.

To find the probability of a bulb lasting for at most 549 hours, we first calculate the Z score. The Z-score formula is given as follows: Z = (X - µ) / σ, where X is the number of hours, which is 549. So substitute the given values into the formula. Z = (549 - 520) / 25, the Z value is 1.16.

We then look up the Z-table to find the probability associated with this Z-score (1.16), which is approximately 0.8770. Therefore, the probability of a bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%.

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Answer:

a. correct.

b. correct.

c. incorrect

Step-by-step explanation:

a and b. if two lines are parallel, they must line in the same plane and must not intersect.

c. you cannot infer if the lines are parallel or not based on the information given in the statement. even if the lines do not intersect, they may not be parallel.

The data point "50" represents a quantitative discrete variable in this study. In the given context, the data point "50" represents the number of books owned by individuals in a study of 85 adults.

Based on this information, the type of data represented by "50" is quantitative. Specifically, it is a discrete variable because it represents a countable value that can only take on whole numbers. In this case, "50" represents the minimum number of books owned by most adults in the study. Quantitative data refers to numerical measurements that can be analyzed and manipulated mathematically. It provides a more precise and detailed understanding of the phenomenon under study. By categorizing the number of books owned by individuals, researchers can gather insights into people's reading habits and preferences. Analyzing this data further may reveal trends, pattern, or relationships between book ownership and various factors, such as age, education, or socioeconomic status.

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Answer:

x=10 L of .30 solution

x+y=30

y=20 L water

Step-by-step explanation:

Answer:

Any number between 350,000 and 354,999

Step-by-step explanation:

The main strength of projective tests is that they have high inter-rater reliability, meaning different examiners are likely to find similar results when administering the test to the same individual.

The main strength of projective tests lies in their ability to yield consistent results across different examiners. This high inter-rater reliability ensures that if multiple examiners administer the test to the same individual, they are likely to arrive at similar findings. This reliability is important in establishing the consistency and trustworthiness of the test.

Furthermore, projective tests are often considered valid, meaning they measure the psychological constructs or traits they are designed to assess. Although projective tests rely on subjective interpretation and are not as standardized as other psychological assessment methods, they can provide valuable insights into an individual's thoughts, feelings, and motivations. They allow individuals to project their unconscious or hidden aspects onto ambiguous stimuli, providing a window into their psychological functioning.

Overall, the main strengths of projective tests lie in their inter-rater reliability and potential for valid psychological assessment, offering unique perspectives and understanding of individuals' inner experiences.

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The ratio of unsharpened pencils to sharpened pencils is 10:1

The number of total pencils bought is = 33

The number of sharpened pencils = 3

Therefore, the number of unsharpened pencils = 33 - 3

                                                                               = 30

The ratio of unsharpened pencils to sharpened pencils = 30 : 3

                                                                                            =\(\frac{30}{3}\)

                                                                                            = \(\frac{10}{1}\)

                                                                                            = 10: 1

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Journal entries for Southeastern College as a public university:

1. Donation received for capital addition:

Restricted Cash - Capital Additions Dr. $502,000

Donation Revenue Cr. $502,000

2. Contribution to the permanent endowment:

Cash Dr. $210,000

Permanently Restricted Net Assets Cr. $210,000

3. Interest and dividends received on endowment investments:

Restricted Cash - Scholarships Dr. $50,000

Investment Income Cr. $50,000

4. Increase in fair value of investments:

Investment Gain  Dr. $7,100

Unrestricted Net Assets  Cr. $7,100

To record the transactions for Southeastern College as a public university, the following journal entries are made:

1. Recording the donation received for capital addition:

Restricted Cash - Capital Additions  Dr. $502,000

Donation Revenue Cr. $502,000

The restricted cash is increased by $502,000, representing the additional donation received for capital additions. The corresponding revenue account is credited.

2. Recording the contribution to the permanent endowment:

Cash Dr. $210,000

Permanently Restricted Net Assets Cr. $210,000

The cash received from the alum is debited, and the permanently restricted net assets (part of the endowment) are credited.

3. Recording interest and dividends received on endowment investments:

Restricted Cash - Scholarships Dr. $50,000

Investment Income Cr. $50,000

The interest and dividends received on the endowment investments are debited to restricted cash for scholarships, and the investment income account is credited.

4. Recording the increase in fair value of investments:

Investment Gain  Dr. $7,100

Unrestricted Net Assets  Cr. $7,100

The increase in the fair value of the investments is recorded as an investment gain. The unrestricted net assets account is credited, as gains or losses from changes in fair value are not distributed and remain in the endowment.

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Answer:

-3

Step-by-step explanation:

divide both side by 6 to find t

Answer:

43.6°

Step-by-step explanation:

x = missing angle

sinx = 40/58

x = sin⁻¹40/58 = 43.6°

Answer:

I'm not sure on the first but the second is -32

and in the third 25,000 represents the starting value of the car.

WORK:

2:

h(-5)=(-5)^2 -7

h(-5)=-25-7

h(-5)=-32

Answer:

Step-by-step explanation:

All triangles without exception, have 180 degrees.

x + 53 + 70 = 180                Add the left

x + 123 = 180                       Subtract 123 from both sides.

x + 123 - 123 = 180 - `123    Combine.

x = 57