(0.624, 3.91)
-2
(-1,0)
(-0.145.0)
-2
(1.145, 0)
(-0.624, -1.91)
Q. Which interval has y values that are positive?

Answer: Graphing a Quadratic Function

y=−10x2−31x

Step-by-step explanation:

Graphing a Quadratic Function

f(x) ÷ x - k.

9) f(x) = x' - 8x? - 10x² – 24x

The probability of either of the two die landing on 4 is 1/36.

To calculate the probability of either of the two dice landing on 4 when rolling two regular dice, we need to determine the favorable outcomes and the total possible outcomes.

Favorable outcomes: There are three ways to get a 4 with two dice: (1, 3), (3, 1), and (2, 2).

Total possible outcomes: Each die has 6 sides, so there are 6 possible outcomes for the first die and 6 possible outcomes for the second die.

Therefore, the total possible outcomes are 6 x 6 = 36.

Probability = Favorable outcomes / Total possible outcomes

Probability = 1/6 x 1/6

Probability = 1/36

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When a two-way table shows one relationship between two variables, but the relationship reverses when a third variable is introduced, it indicates the presence of a confounding variable.

A confounding variable is an additional factor that is related to both the independent and dependent variables, and it can distort or influence the observed relationship between the two variables of interest. In such cases, the initial relationship observed in the two-way table may be misleading or inaccurate because the third variable is influencing the relationship. It highlights the importance of considering and controlling for potential confounding variables in order to accurately understand and interpret the relationship between the two primary variables.

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Let the circumference of the circle be c and the diameter be d.

Then

Since c =36m

Then

As k increases (from 1 to 8), the critical value increases. This is because as k increases, the probability of a Type I error decreases.

A Type I error is the probability of rejecting the null hypothesis when it is true. By increasing the critical value, it is making it less likely to reject the null hypothesis when it is true.

Power is the probability of rejecting the null hypothesis when it is false. As k increases, power also increases. This is because as k increases, the difference between the two populations becomes more pronounced. This makes it more likely that we will be able to detect a difference between the two populations.

In conclusion, as k increases, the critical value increases and power also increases. This is because as k increases, the probability of a Type I error decreases and the difference between the two populations becomes more pronounced.

The critical values for a sample size of 24 participants (N = 24) given the following values for k is attached.

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Research has shown that competent communicators achieve effectiveness by adjusting their behaviors to the person and situation (option e).

Effective communication involves being adaptable and responsive to the specific context, individual preferences, and the needs of the situation.

Competent communicators recognize that different people have different communication styles, preferences, and expectations. They understand the importance of tailoring their communication approach to effectively connect and engage with others.

This may involve using appropriate language, tone, non-verbal cues, and listening actively to understand the needs and perspectives of others.

By adapting their behaviors, competent communicators can build rapport, foster understanding, and promote effective communication exchanges. They are mindful of the social and cultural dynamics at play, and they strive to communicate in a way that is respectful, inclusive, and conducive to achieving mutual goals.

In summary, competent communicators understand that effective communication is not a one-size-fits-all approach. They adjust their behaviors to the person and situation, demonstrating flexibility and adaptability in order to enhance communication effectiveness.

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Competent communicators achieve effectiveness mostly by adjusting their behaviors to suit the person they are communicating with and the situation they find themselves in. While other factors, like having a broad vocabulary or giving feedback, play a part in effective communication, the former is considered the most crucial.

Research suggests that competent communicators achieve effectiveness mostly through adjusting their behaviors depending on the person they are communicating with and the situation they are in. This is option e. of your question. Communicating effectively involves behaviors like active listening, understanding the other person's point of view, being able to express thoughts and ideas clearly, and being polite and respectful. While a broad vocabulary (option b.) can be useful, it is not as crucial as adapting your behavior to fit the situation. Moreover, giving feedback (option d.) is a part of effective communication but not the sole defining factor. Apologizing when offending others (option c.) is also important but it doesn't necessarily make one a competent communicator. Using the same type of behavior in various situations (option a.) might not always work, as different situations and individuals require different communication styles.

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Answer:

x=7

Step-by-step explanation:

Answer:

20x-8 =18x+6

20x-18x=6+8

2x=14

x=7

Step-by-step explanation:

expand the brackets

group the numbers into light terms

reduce the answers into light terms n then you get yr x

We have expressed y in terms of the given expressions for a, b, c, and d. To simplify it further, we can distribute and perform the necessary computations.

To compute y = t^3 - 8 using the given expressions for a, b, c, and d, we need to substitute the values of a, b, and c into the expression and simplify it. Let's break it down step by step:

Given:

a = d - 1

b = d^2

c = d^2d - 2

d = d/dt

We can start by substituting d into a and b:

a = d - 1 = (d/dt) - 1

b = d^2 = (d/dt)^2

Next, we substitute the value of c:

c = d^2d - 2 = [(d/dt)^2][(d/dt)] - 2

Now, we substitute these expressions into y = t^3 - 8:

y = t^3 - 8

= (t^3 - 8)[(d/dt) - 1][(d/dt)^2][(d/dt)] - 2

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The following equation is m=d-10+k×i represent the total amount in account(m) in dollar.

Although the question does not specify the options, but I have specified my answer as follows:

Given:

The equation representing the total amount in the account, m, when starting with d dollars and being charged a 10$ fee.

Account Opening Charges: $10

Starting amount: $d

The total amount in the account: $m

Let us say the depositor deposits an amount $k for 'i' number of months

Banks deduct their charges from the account balance itself, hence account opening charges are deducted from the bank balance.

I have assumed an amount $k invested every month. You can remove that term as per the requirement of the question.

The total amount at a point in time = starting amount - Account Opening Charges + monthly deposit till that time

⇒m=d-10+k×i

This equation shows that the total amount in the account will be equal to the initial deposit minus the fee charged by the bank.

Therefore, the following equation is m=d-10+k×i.

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The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week is 0.653 or 65.3%.

The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week can be calculated as follows:

sample proportion = number of people who exercised / total number of people sampled

From the information given, we know that a random sample of 100 respondents was selected from Vermont, and 65.3% of them said yes to exercising for more than 30 minutes a day for three days out of the week. Therefore:

number of people who exercised in Vermont = 65.3% of 100 = 0.653 x 100 = 65.3

So the sample proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week is:

sample proportion = 65.3 / 100 = 0.653

Therefore, the value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week is 0.653 or 65.3%.

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For a balloon mortgage, the monthly payments are usually lower, but there is a final "balloon" payment due at the end of the term.

a. Property Taxes:

The assessed value of the building is $500,000, and the property tax rate is 2.415%. To calculate the property taxes, we multiply the assessed value by the tax rate:

Property taxes = Assessed value * Tax rate

Property taxes = $500,000 * 2.415% (convert percentage to decimal)

Property taxes = $500,000 * 0.02415

Property taxes = $12,075

Therefore, the property taxes on the assessed value of the building will be $12,075.

b. Monthly Mortgage Payment:

To calculate the monthly mortgage payment, we need to consider the loan amount, interest rate, and loan term. The down payment is 20%, so the loan amount will be 80% of the market value of the building:

Loan amount = Market value * (1 - Down payment percentage)

Loan amount = $457,350 * (1 - 20%) (convert percentage to decimal)

Loan amount = $457,350 * 0.8

Loan amount = $365,880

We can now use this loan amount, along with the mortgage interest rate and loan term, to calculate the monthly payment using the formula for a fixed-rate mortgage:

Monthly payment = (Loan amount * Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-Total number of months))

The monthly interest rate is the annual interest rate divided by 12, and the total number of months is the loan term multiplied by 12.

Annual interest rate = 4.55% (convert percentage to decimal)

Monthly interest rate = 4.55% / 12

Loan term = 30 years

Total number of months = 30 * 12

Now, let's calculate the monthly payment:

Monthly payment = ($365,880 * Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-Total number of months))

c. Total Interest Paid:

To calculate the total interest paid over the life of the loan, we multiply the monthly payment by the total number of months and subtract the loan amount:

Total interest paid = (Monthly payment * Total number of months) - Loan amount

d. Closing Costs:

The closing costs can vary, but a common range is between 2% and 5% of the purchase price. To calculate the range for closing costs, we'll use these percentages:

Minimum closing costs = Purchase price * 2%

Maximum closing costs = Purchase price * 5%

e. Balloon Mortgage Payment:

For a balloon mortgage, the monthly payments are usually lower, but there is a final "balloon" payment due at the end of the term. To calculate the monthly payment for the balloon mortgage, we'll use the loan amount, interest rate, and loan term:

Monthly payment = (Loan amount * Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-Total number of months))

Now, let's calculate the monthly payment for the balloon mortgage.

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Answer:

0

Step-by-step explanation:

There is no solution to the question

A) Let's call the height of the pool "h". According to the problem, the length is 5 feet longer than the height, so the length is "h + 5". The area of a rectangle is calculated by multiplying the length by the width. Therefore, the area of the pool can be represented by the polynomial expression:

A = (h + 5) * h = h^2 + 5h

B) If we add a 2 feet concrete walkway around the edge of the pool, we need to increase both the length and width of the pool by 4 feet (2 feet on each side). Therefore, the new length is "h + 5 + 4 = h + 9" and the new width is "h + 4". The total area of the pool and the walkway is the sum of the areas of the pool and the walkway. The area of the pool is given by the same polynomial expression as in part A, and the area of the walkway is:

2(2 + h + 4) * 2 = 4h + 16

So, the total area of the pool and the walkway can be represented by the polynomial expression:

A = h^2 + 5h + 4h + 16 + 4h + 36 = h^2 + 13h + 52

C) We are given the total area of the pool and the walkway as W^2 + 17W + 66. We can set this expression equal to the expression we obtained in part B for the total area of the pool and the walkway and solve for W:

W^2 + 17W + 66 = h^2 + 13h + 52

Rearranging the terms:

W^2 + 17W - h^2 - 13h + 14 = 0

We can use the quadratic formula to solve for W:

W = (-b ± sqrt(b^2 - 4ac)) / 2a

Where a = 1, b = 17, and c = -h^2 - 13h + 14. Substituting these values:

W = (-17 ± sqrt(17^2 - 4(1)(-h^2 - 13h + 14))) / 2(1)

Simplifying:

W = (-17 ± sqrt(h^2 + 26h - 15)) / 2

We want the positive value of W, since width can't be negative. Therefore, the width of the new walkway is:

W = (-17 + sqrt(h^2 + 26h - 15)) / 2

We can use this expression to find the width of the walkway for any given height of the pool.

Answer:

1) area of pool = w(w+5) = w^2 + 5w square feet

2) total area = w^2 + 13w + 36 ft^2

3) the width=6 units, length=11 units

Step-by-step explanation:

hope this helps

The value of the test statistic is t = -2.15.

To test whether the manufacturer's claim of 31.3 mpg is accurate, we can use a one-sample t-test. The null hypothesis is that the true mean mpg of the van is equal to the manufacturer's claim of 31.3 mpg, while the alternative hypothesis is that the true mean mpg is different from 31.3 mpg.

The test statistic for a one-sample t-test is calculated as

t = (x - μ) / (s / √(n))

where x is the sample mean, μ is the hypothesized population mean (31.3 mpg), s is the known standard deviation, and n is the sample size.

Plugging in the values given in the problem, we get:

t = (31.1 - 31.3) / (1.3 / √(140))

t = -0.2 / (1.1 / 11.83)

t = -0.2 × 10.75

t = -2.15

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Let's try to understand how we can solve this equation

Given equation,4f+2=6f-12

Now we will take the terms on one side and constants on the other.

=> 2+12=6f-4f

=> 14=2f

=>7=f

So, the value of f would be 7. Remember that while bringing value to another side, the sign of that value changes. If it is a positive sign then it is going to be transformed into a negative one and vice versa.

Given

The sequence,

6, 24, 96, 384.

To find the nth term of the sequence.

Explanation:

It is given that,

The sequence is,

6, 24, 96, 384.

That implies,

Then, the given sequence is a GP.

Therefore,

The nth term of the given sequence is,

That implies,

Hence, the seventh term of the sequence is 24576.

Answer:

Step-by-step explanation:

Berto’s train was 34 miles past the egg farm .

Eduardo’s train had 12 miles to go before it reached the egg farm.

Distance between two trains = 34 + 12 = 46 miles

This distance has to be reduced to zero for their crossing each other .

Rate at which this distance is reduced  = their relative velocity

= 110 - 85

= 25 miles / h       [ They are moving in the same direction ]

So, time taken for them to meet each other

= 46 / relative velocity

= 46 / 25

= 1.84 hours .

Answer:

The answer is D or 1.84 hours.

Step-by-step explanation:

I got 100% on this quiz.

Answer:

y = -\(\frac{2}{3}\)x + 9

Step-by-step explanation:

Pair 2 shows one figure rotated 180 degrees compared to the other, and translated as well. So they are congruent (ie the same).

Pair 4 shows one triangle reflected over the vertical line x = 22 to get the other triangle; which shows they are the same triangle.

The other pairs are not congruent. You can show that the areas of each figure being different is enough to prove they aren't the same figure.

Answer:

x2+(3-2)x-6

x2+3x-2x-6

x(x+3)-2(x+3)

(x+3)(x-2)

its very easy please follow me and mark as brainliest i will solve your all problems of mathematics

x^+(3-2)x-6

x^+3x-2x-6

x(x+3)-2(x+3)

(x-2) (x+3)

Here there is x^+x-6 you have to mutiply x^ and 6

you will get 6x^.Then in the middle there is x so to bring x in the middle we have to think factors of 3 like 3×2=6 here 3-2=1 now we have get 1 that means x.

Now you will mutilpy 3-2 by x than you have to take common. Remember in this lesson if there is (- + = +) (- - = -) and (+ - = -) search in your book you will you will find it.

a.) The number of pounds of empty cans needed by the class is 200 pounds.

b.) The number of empty cans needed by the class to collect are 5486 cans.

The books will cost a total amount of $ 50.

If $ 0.25 per pound is the current price for aluminium at the recycling centre, the number of pounds the class will have to collect is found by dividing the total amount needed by cost per pound is,

⇒ 50/0.25 = 200

b.) Six empty cans weigh 3.5 ounces.

1 pound = 16 ounces

200 pounds = 200 × 16 = 3200 number of ounces

3200/3.5 = 914.29

914.29 × 6 = 5485.7 cans ≈ 5486 cans

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522km / 36= 14.5km PER litre

14.5 x 14= 203

Answer:

Math class ends at 10:35 AM.

Step-by-step explanation:

To find the answer, you need to add 40 minutes to the timestamp if 9:55 AM. There are 60 minutes in an hour, so you add five minutes to get to 10:00. 40-5=35. Now add 35 minutes to 10:00. The answer is 10:35 AM.

Answer:

The answer is 10:35 AM.

Step-by-step explanation:

Here, we know that in one hour there's 60 minutes.

1 hour = 60 minutes.

So, add 40 minutes in 9:55

9:55 + 40 minutes = 10:35 AM

Thus, Mr Gleasons math class will end at 10:35 AM.

The term "income" refers to the money that an individual earns or receives in exchange for their work or services.

In this case, the panhandler is making $15 to $20 per day on the streets, which can be considered his income. The terms "prestige," "status," and "wealth" are not relevant in this context.
                                             A panhandler who makes $15 to $20 per day on the streets and you want to know whether this is his A) wealth, B) income, C) status, or D) prestige.

The answer is B) income. The money a panhandler makes per day can be considered his daily income.

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Answer:

-b-12

Step-by-step explanation:

4b+7-5b-19

4b-5b+7-19

-b+7-19

-b-12

Answer:

-b-12

Step-by-step explanation:

The like terms is 4b and -5b since they both have b so you have to combine like terms. The coefficients are 4 and 5. Then you combine the rest of the like terms which are 7 and -19 and get 12. So once simplify you get the expression -b-12

The volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes is V = π∫ln 8eˣdx,

The volume of a solid generated by revolving a region about a line is calculated by using the method of slices.

In this case, we have a region in the first quadrant bounded by the coordinate axes, the curve y = eˣ and the line x = ln 8, which is being revolved about the line x = ln 8.

To find the volume of this solid, we need to take slices perpendicular to the line of rotation and calculate the area of each slice.

The volume can then be calculated by multiplying the area of each slice by its corresponding distance from the line of rotation and summing up the results.

The volume of this solid is calculated by the equation

=> V = π∫ln 8eˣdx,

where V is the volume of the solid, x is the distance from the line of rotation, and π is the constant pi

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Answer:

Distance

Step-by-step explanation:

this is the formula to fin the distance between two point

Answer:

Distance Formula

Step-by-step explanation:

The distance formula is used when trying to find the distance between two points on a 2D dimension. The formula for it is \(\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\).

Answer:

Step-by-step explanation:

 Move 3 units left and 2 units up.