If f(x)=√4x+9+2, which inequality can be used to find the domain of f(x)?
O √4x20
O 4x+920
O 4x20
O√4x+9+220
G

Based on the comparison of daily periodic interest rates, the second card with a 0.035% daily periodic interest rate is a better choice for a new credit card holder than the first card with a 0.03832% daily periodic interest rate.

You decide which credit card is a better choice by comparing their interest rates.

To make a fair comparison, let's first convert the Annual Percentage Rate (APR) of the first card into a daily periodic interest rate. The APR of the first card is 13.99%. To find the daily periodic interest rate, we divide the APR by 365 (the number of days in a year):

13.99% / 365 = 0.03832%

Now we can compare the daily periodic interest rates of both cards. The first card has a daily periodic interest rate of 0.03832%, and the second card has a daily periodic interest rate of 0.035%.

Since the daily periodic interest rate of the second card (0.035%) is lower than the first card (0.03832%), the second card would be the better choice for a new credit card holder. A lower daily periodic interest rate means that the cardholder will be charged less interest on their outstanding balance, which can save them money over time. Hence, The correct option is The second card is the better choice because the daily periodic interest on the first card is 0.035%, compared to 0.038% on the second card.

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Answer:

207 cubic cm

Step-by-step explanation:

3x3^2x11/3 = 99

4/3x3x3^3 = 108

108+99=207

The required average change in temperature each minute is a decrease of 0.13°C.

The average of the values is the ratio of the total sum of values to the number of values.

We can use the formula:

average change = (final temperature - initial temperature) / time

Here, the initial temperature is 100°C, the final temperature is 58°C, and the time is 312 minutes.

So,

average change = (58 - 100) / 312

average change = -0.1346...

Rounding to two decimal places, we get:

average change = -0.13°C per minute.

So, the average change in temperature each minute is a decrease of 0.13°C.

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If we spin a spinner with 10 equal-sections, then the probability that on spinning the spinner 3 times the sum becomes 15 is 0.011.

To find the probability of spinning the spinner "3-times" and getting a sum of exactly 15, we use a combination of probability and counting principles.

First, we find total number of possible outcomes when spinning the spinner 3-times.

Since there are 10 possible outcomes for each spin,

There are a total of 10 × 10 × 10 = 1000 possible outcomes,

Next, we count the number of ways to get a "sum-15" by listing out all the possible combinations of three numbers that add up to 15.

The Outcomes are : (1, 7, 7), (2, 6, 7), (2, 7, 6), (3, 5, 7), (3, 6, 6), (3, 7, 5), (4, 4, 7), (4, 5, 6), (4, 6, 5), (4, 7, 4), (5, 5, 5).

So there are 11 possible combinations of three numbers that add up to 15.

The probability of getting "sum-of-15" is found by dividing number of favorable outcomes (11) by total number of possible outcomes (1000);

⇒ P(sum of 15) = 11/1000,

Therefore, the required probability is 0.011.

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The correct option is 1, A conclusion that a linear model between the variable and age is appropriate is supported by the plot A only.

A mathematical representation of a linear connection between a dependent variable and one or more independent variables is called a linear model. It is presumptive that the variables have a linear connection, which means that when the independent variable varies, the dependent variable changes at a fixed pace.

Y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept, is the most basic form of a linear model. The y-intercept of the line reflects the value of the dependent variable when the independent variable is equal to zero, while the slope of the line shows the rate of change of the dependent variable with respect to the independent variable.

Linear models are widely used in many fields, including statistics, economics, engineering, and physics, to analyze and predict the behavior of systems that exhibit a linear relationship between variables. They can be used for simple predictions or as a building block for more complex models.

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Complete Question:-

A researcher studying koi fish collected data on three variables, A, B, and C. The following residual plots show the residual for a model for predicting each variable from the age of the fish.

A conclusion that a linear model between the variable and age is appropriate is supported by which plot or plots?

1.)A Only

2.)B Only

3.)C Only

4.)A and C only

5.)B and C only

Answer:

The situation best represented by the given information is option B: An office manager paid $675.95 for computer equipment. The office manager bought one monitor for $127.95 and hard drives for $68.50 each. What is x, the number of hard drives the office manager bought?

To represent this situation as an equation, let x be the number of hard drives. The total cost of the computer equipment is the cost of the monitor plus the cost of the hard drives:

675.95 = 127.95 + 68.50x

Now, we can solve for x to find the number of hard drives the office manager bought.

The information provided is insufficient to determine the predicted time before the first engine overhaul.

To predict the time before an engine overhaul, we need to know the manufacturer's recommended mileage or hours of operation for an overhaul.

Factors such as miles per year, load, speed, and oil change intervals affect the engine's performance and wear but do not directly provide a specific time frame for an engine overhaul.

Summary: Without knowing the manufacturer's recommended mileage or hours for an engine overhaul, we cannot accurately predict the time before the first engine overhaul for the particular truck described.

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After considering the given data we conclude that the value generated after completely factorizing the given expression is 6(3x + 2).

To factor the expression completely, you need to find the greatest common factor (GCF) of the terms and then divide each term by the GCF. The GCF of 18x and 12 is 6, so we can write:
18x + 12 = 6(3x + 2)
This is the simplest form of the expression, so we are done. You can check your answer by expanding the parentheses and seeing if you get back the original expression.
The greatest common factor (GCF) is considered the largest positive integer that divides evenly into two or more given numbers.
In order to evaluate  GCF of two numbers, we have to   list the factors of each number and then identify the largest factor that is common to both numbers.
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Answer: number of recycled paper in 1 week: 27/3= 9 kilograms

Clarence's office will recycle a total of 36 kilograms of paper in : 36/9= 4 weeks

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

12 weeks is your answer

The probability of the events

1. The point is on QR = 44.44%

2. The point is on PQ = 22.22%

3. The point is on RS = 33.33%

4. The point is not on RS = 66.67%

A probability is a number that reflects the chance or likelihood that a particular event will occur.

Probability is expressed can be as ;

Probability = sample space / Total out come.

In percentage , the total probability is 100% it is equivalent to 1 in fraction.

The total length PS is calculated as ;

8+4+6 = 12 + 6

= 18

The probability of event (PQ) in percentage = 8/18 × 100

= 44.44%

The probability of event ( QR) = 4/18 × 100

= 22.22%

The probability of event ( RS) = 6/18 × 100

= 600/18 = 33.33%

The probability of the point not on RS = 100-33.33

= 66.67%

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Answer:

A

Step-by-step explanation:

take the monthly net profits which is $2,000 and multiply with 12 which is the number of months in a year. the results is $24,000

culculation;

$2,000 X 12 = $24,000

The missing length are 24, 18 and 10.

We have,

1. There 36 labels having three division equally.

So. the length of missing section is

= 12 + 12

= 24

2. There 36 labels having 4 division equally.

So. the length of missing section is

= 9 + 9

= 18

3 There 16 labels having 8 division equally.

So. the length of missing section is

= 2 + 2 + 2 + 2 +2

= 10

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Answer:

55 degrees

Step-by-step explanation:

To solve this problem, all you have to do is 60 + 65 and subtract it from 180. We can do this because those 3 angles create a linear pair.

Answer:  55

Step-by-step explanation:

The 3 angles form a line,  <4   60 and 65.   since it is a line the 3 angles add up to 180

<4 +60 + 65 =180    solve for <4 by subtracting 60 and 65 from both sides

<4 = 55

Give the OTHER guy brainliest please.  I liked his answer.

Using the binomial theorem, we get the value of n to be 1.

The given expression can be simplified by factoring out (1 + x)² from each term, which gives

(1 + x)²[1 + (1 + x) + (1 + x)² + ... + (1 + x)⁴⁷ + (1 + x)⁴⁸]

We can then use the formula for the sum of a geometric series to simplify the expression inside the brackets

1 + (1 + x) + (1 + x)² + ... + (1 + x)⁴⁷ + (1 + x)⁴⁸ = (1 - (1 + x)⁴⁹)/(1 - (1 + x))

= ((1 - (1 + x)⁴⁹)/x)(1/x - 1)

Now, we can use the binomial theorem to expand (1 + x)⁴⁹ and simplify the resulting expression

(1 + x)⁴⁹ = ⁴⁹C₀ + ⁴⁹C₁x + ⁴⁹C₂x² + ... + ⁴⁹C₄₈x⁴⁸ + ⁴⁹C₄₉x⁴⁹

The coefficient of x² is ⁴⁹C₂ + ⁴⁹C₃, which simplifies to (3n + 1)⁵¹C₃. Therefore, we have

⁴⁹C₂ + ⁴⁹C₃ = (3n + 1)⁵¹C₃

We can solve for n by using the formula for binomial coefficients

ⁿCᵣ = n!/(r!(n-r)!)

Substituting this into the above equation and simplifying, we get

(49 × 48)/(2 × 1) + (49 × 48 × 47)/(3 × 2 × 1) = (3n + 1) × (3n) × (3n - 1) × ... × (3n - 50)

Simplifying the left-hand side and dividing both sides by (3n + 1), we get

(49 × 16) + (49 × 24 × 47)/(3 × 2) = (3n) × (3n - 1) × ... × (3n - 50)

784 + 2,352 = (3n) × (3n - 1) × ... × (3n - 50)

3,136 = (3n) × (3n - 1) × ... × (3n - 50)

Since 3n is a factor of the right-hand side, we can write

3n × k = 3,136

where k is a product of the remaining factors on the right-hand side. Since n is the smallest positive integer that satisfies this equation, we can start by letting n = 1 and finding the smallest factor k that is divisible by 3. We find that k = 16 × 31 × 32 × ... × 99. Therefore, the value of n is 1

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

" Let m be the smallest positive integer such that the coefficient of x²

in the expansion of  (1 + x)² + (1 + x)³ + (1 + x)⁴ + ........... + (1 + x)⁴⁹ + (1 + x)⁵⁰

 is (3n+1)⁵¹C₃

for some positive integer n. Then the value of n is-"--

Answer:

359.4 cubic feet

Step-by-step explanation:

The formula for the volume of a hemisphere is (2/3)πr^3, where r is the radius.

Substituting r=6.5 ft into the formula, we get:

V = (2/3)π(6.5 ft)^3

V ≈ 359.41 ft^3

Rounding to the nearest tenth of a cubic foot, we get:

V ≈ 359.4 ft^3

The residual concerning this individual using the least squares estimate is 13.025 ounces under the given condition that another dog weighs 25.7 pounds and consumes 70 ounces of food per week.

Let's us consider x = weight of a dog in pounds  
y = amount of food consumed by a dog in ounces per week.
Then the least squares estimate of y given x is
y = 2.75x - 17.5

Utilizing this equation, we can say that a dog weighing 25.7 pounds will consume
y = 2.75(25.7) - 17.5
= 56.975

To evaluate  the residual concerning thr individual using the least squares estimate,
Residual = Observed value - Predicted value
= 70 - 56.975
= 13.025 ounces

The residual concerning this individual using the least squares estimate is 13.025 ounces under the given condition that another dog weighs 25.7 pounds and consumes 70 ounces of food per week.

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Let the two consecutive odd numbers be (2n + 1) and (2n - 1)

There product is (2n - 1)(2n + 1)

4n² - 1

2(2n) - 1

let 2n² = x

2x - 1

Hence , we can say that product of two consecutive odd number is always odd.

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The length of the hypotenuse is given as follows:

c = 18.

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The theorem is expressed as follows:

c² = a² + b².

In which:

The sides for this problem are given as follows:

[tex]a = 9, b = 9\sqrt{3}[/tex]

Then the hypotenuse is given as follows:

[tex]c^2 = 9^2 + (9\sqrt{3})^2[/tex]

c² = 324

c = 18.

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Answer:

7. To find the theoretical probability of rolling a product greater than 12, we need to count the number of outcomes where the product is greater than 12 and divide by the total number of possible outcomes.

From the table, we can see that the outcomes with a product greater than 12 are: (2, 6), (3, 5), (3, 6), (4, 4), (4, 5), (4, 6), (5, 3), (5, 4), (5, 5), (5, 6), (6, 2), (6, 3), (6, 4), (6, 5), and (6, 6). This gives us a total of 15 outcomes with a product greater than 12.

The total number of possible outcomes is 6 x 6 = 36, since there are 6 possible outcomes for each of the two number cubes.

Therefore, the theoretical probability of rolling a product greater than 12 is 15/36, which simplifies to 5/12.

8. To find the approximate number of times Alan would expect to roll a product greater than 10 in 300 rolls, we can multiply the total number of rolls by the probability of rolling a product greater than 10.

From the table, we can see that the outcomes with a product greater than 10 are: (2, 6), (3, 5), (3, 6), (4, 4), (4, 5), (4, 6), (5, 3), (5, 4), (5, 5), (5, 6), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6), (3, 4), (4, 3), (5, 2), (6, 2), (4, 2), (5, 2), and (6, 2). This gives us a total of 21 outcomes with a product greater than 10.

The probability of rolling a product greater than 10 is 21/36, which simplifies to 7/12.

Multiplying the total number of rolls (300) by the probability (7/12), we get:

300 x 7/12 = 175

So Alan would expect to roll a product greater than 10 about 175 times in 300 rolls.

Answer:

The comparison operator is == if( image(j,k,m) == i)

you welcome

Step-by-step explanation:

Class B would be the one where pupils spend the least amount of time on their homework.

Class A has the least amount of variation in homework time.

The proportion of all students that prefer to use a metal pen would be 40 %.

The bookstore should not believe that the results represent the preferences accurately as the different is significant.

The least amount of time was spent on homework by students in Class B, as seen by the fact that some of them only put in 10, 15, and 20 minutes, as opposed to 35 minutes for students in Class A.

Due to their smaller range, Class A also had less variability in the amount of time spent on homework:

Class A range :

= 100 - 35

= 65 minutes

Class B range :

= 80 - 10

= 70 minutes

Proportion of students who prefer metal pens = (Number of students who prefer metal pens) / (Total number of students in the sample) = 4/10 = 0.40

= 40 %

Proportion of students who prefer metal pens on day 2 = 8/10 = 0.8

= 80%

The preferences of the student population are significantly different, according to these results.

The bookstore needs to collect more information in order to have a better knowledge of the preferences of the student population given the stark disparity in the results from the two days.

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The data distribution is, skewed and the mean of the number of emails is equal to the median numbers of email.

Given that;

The dot plot shows the number of emails that Jade receive each day for the last 10 days.

Now, We can see that;

it has more data on one side rather than the other.

Hence, It shows the skewed.

And, Mean of dot plot is,

15, 16, 18, 19, 22, 22, 22, 22, 23, 23

Hence, Mean = (22 + 22) / 2

                      = 22

And, Median = 22

Thus, We get;

The data distribution is, skewed and the mean of the number of emails is equal to the median numbers of email.

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Answer: 0.08646208568

Step-by-step explanation:

Division and Multipulication are the invesre of eachother . So when we do the inverse of division, we will get an equation of 0.7006652 ×0.1234.

a. The value of to M(t)dt based on the information is 544.09m/s.

b) Mary speed is increasing

c) The distance is increasing

d) The max Distance between Mary and Chance over the time interval is -443.553.

We need to find the maxima or minima, (-ve value of D(t) means Chance is ahead of Mary).

Solve for t OR (You can also plot d and get the max value of D).'

Either way at (t = 9.273) we get a minima of, -443.553 , which is the max distance difference between them.

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Answer:

point form:(13/5, -3/5)

equation form: x=13/5

                         y=-3/5

Step-by-step explanation:

Give me brianliest, appreciated. Peace✌

Answer:

14%

Step-by-step explanation:

like running and summing=28

28/200=14

:in percent form it is 14%

The product of the two expressions ZW, is  81( cos π²/132 + sinπ²/132 + i(cosπ/11sinπ/12 + sin π/11cos π/12).

The division of the expressions Z/W, is [ (cos π²/132 - sin π²/132) + i (sin π/11 cosπ/12 - sin π/12 cosπ/11) ] / (cos² π/12 - sin² π/12).

The given expression is simplified as follows;

Z = 9(cos π/11  +  i sin π/11)

W = 9(cos π/12 +  i sin π/12)

The product of the two expressions is calculated as follows;

ZW = 9(cos π/11  +  i sin π/11) x 9(cos π/12 +  i sin π/12)

ZW = 81(cos π²/132 + i cosπ/11  sinπ/12  + i sin π/11 cos π/12 + sin π²/132)

ZW = 81( cos π²/132 + sinπ²/132 + i(cosπ/11sinπ/12 + sin π/11cos π/12)

The division of the expressions is calculated as follows;

Z/W = 9(cos π/11  +  i sin π/11) /  9(cos π/12 +  i sin π/12)

Z/W = (cos π/11  +  i sin π/11) / (cos π/12 +  i sin π/12)

Multiply the denominator and numerator with conjugate of (cos π/12 +  i sin π/12) = cos π/12 -  i sin π/12

Z/W = (cos π/11  +  i sin π/11)/(cos π/12 +  i sin π/12) x  (cos π/12 -  i sin π/12)/(cos π/12 -  i sin π/12)

Z/W = [ (cos π²/132 - sin π²/132) + i (sin π/11 cosπ/12 - sin π/12 cosπ/11) ] / (cos² π/12 - sin² π/12)

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Answer: 7

Step-by-step explanation:

Mean means average.  Add all the numbers and divide by how many there are.

(5+5+4+8+10+10)/6

=7

Answer:

7

Step-by-step explanation:

To solve this problem you simply, add 5+5+4+8+10+10 and divide it by the number of values present.

5+5+4+8+10+10 = 42/6 = 7, so you answer is 7