If x is positive, what is the solution to the inequality log9x>12?

The correct formula for l after solving the given formula is:

l = (a - 2lh - 2wh) / (2w)

So, the answer is a.

To solve the formula for l, we need to isolate the variable l on one side of the equation. Let's go through the steps:

Given formula: a = 2lw + 2lh + 2wh

Step 1: Let's isolate the term containing l by subtracting the other terms from both sides of the equation:

a - 2lh - 2wh = 2lw

Step 2: To solve for l, we need to get rid of the 2w term in front of lw. We can do this by factoring out l:

l(2w) + 2lh + 2wh = a

Step 3: Combine like terms on the left side:

2lw + 2lh + 2wh = a

Step 4: Now we can solve for l by isolating it on one side of the equation. Let's subtract 2lh and 2wh from both sides:

2lw = a - 2lh - 2wh

Step 5: Finally, divide both sides of the equation by 2w to solve for l:

l = (a - 2lh - 2wh) / (2w)

Therefore, the correct formula for l after solving the given formula is:

l = (a - 2lh - 2wh) / (2w)

So, the answer is a.

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Answer:

b is the y- intercept

Step-by-step explanation:

Hope this helps :]

Answer:

y-intercept

Step-by-step explanation:

[ y = mx + b ] represents slope-intercept form where m = slope and b = y-intercept. Whenever we want to put values into this form, we can solve for the slope of two given points and solve for the y-intercept using the slope and one point.

Best of Luck!

Based on earth time:

1 day = 24 hours

1 hr = 60 minutes

Let's convert the given information regarding Mercury's rotation into hours only. Let's start with 58 days first.

Hence, 58 days equals 1,392 hrs.

Moving on to the next given information that is 15 hours, no need to convert this to hours because it is already in hours.

To the next given information that is 30 minutes, let's convert this to hours.

30 minutes is equal to half an hour or 0.5 hr.

From those converted data, we have:

It takes Mercury 1,407.5 hrs to do a full rotation.

Answer:

30/182 = 15/91.

Step-by-step explanation:

PROBABILITY: the likelihood of an event.

There are a total of 14 shirts in the basket.

Of the 14, 8 (8/14) of them are white, and 6 (6/14) of them are black.

The probability of picking a black shirt is 6 in 14, or 6/14.

The probability of picking a white shirt is 8 in 14, or 8/14.

WITHOUT REPLACING: This means that you take one without putting it back. (There will be one less).

6/14 × 5/13 = 30/182.

30/182 = 15/91.

The probability of randomly picking a black t-shirt from the basket, and then another one without putting the first one back is 15/ 91.

Probability refers to a possibility that deals with the occurrence of random events.

There are a total 14 shirts in the basket.

Out of the total of 14, 8 (8/14) of them are white, and 6 (6/14) of them are black.

The probability of picking a black shirt = 6/14.

The probability of picking a white shirt = 8/14.

The probability of randomly picking a black t-shirt from the basket, and then another one without putting the first one back

= 6/14 × 5/13

= 30/182.

= 15/91.

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Answer: 29152332 ≡ 0 (mod 3)

Step-by-step explanation:

In modular arithmetic, there is the form a ≡ b (mod m) where b is the remainder.

To solve this problem, we want to divide 29152332 by 3 and find the remainder.

29152332 ÷ 3 = 9717444

Since we get an integer with no remainder, we know the answer is 29152332 ≡ 0 (mod 3).

A supervisor finds the mean number of miles that the employees in a department live from work is 24. Then the correct option is B.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The z-score is given as

\(z = \dfrac{x-\mu }{s}\\\)

x = 29

s = 3.6

z = 1.5

Then the mean will be

\(1.5 = \dfrac{29 - \mu }{3.6}\\\\\mu = 29 - 5.4\\\\\mu = 23.6 \approx 24\)

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Answer:

20 km

Step-by-step explanation:

He walks 2 km every trip

Answer:

20 kilometers i think

Step-by-step explanation:

We need to  know about margin of error to solve the problem. The factors that influence margin of error are confidence level and sample size.

Margin of error is a statistic expressing the amount of random sampling error in the results of a survey. The larger the margin of error, the less confidence one should have that a poll result will reflect the result of a census of the entire population. Margin of error is influenced by three factors, confidence level, sample size and population standard deviation. In absence of population standard deviation, the margin of error is influenced by confidence level and sample size.

Therefore the margin of error is influenced by confidence level and sample size.

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Answer:

Step-by-step explanation:

first you solve what's in the parenthesis 10^6=1000000

1000000  * 5 = 5000000

10^8=100000000

times by 3

=300000000

answer is

1500000000000000

The purpose of a variable is to hold and represent a value Option C.

The purpose of a variable in programming or mathematics is to hold and represent a value that can be assigned, changed, and used in various operations or calculations. Variables are fundamental components of programming languages and mathematical equations, enabling flexibility and dynamic behavior in computational tasks.

Option (c) "to hold a value" is the most accurate answer, as variables are used to store data or information in memory locations. This value can be of different types, such as integers, floating-point numbers, characters, or even more complex data structures like arrays or objects.

Variables allow programmers to work with and manipulate data efficiently. By assigning values to variables, we can reference and modify them throughout the program, making it easier to manage and organize information.

Variables also play a crucial role in performing calculations, as mentioned in option (b). We can use variables in mathematical expressions and algorithms to perform arithmetic operations, comparisons, and other computations. By storing values in variables, we can reuse them in multiple calculations and update them as needed.

While option (a) "to assign values" is a specific use case of variables, it is not the sole purpose. Variables not only store values but also facilitate data manipulation, control flow, and the implementation of algorithms and logic.

Option (d) "to hold a constant value" is incorrect because variables, by definition, can hold varying values. Constants, on the other hand, are fixed values that do not change during the execution of a program. Option C is correct.

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Answer:

r=-15/4

Step-by-step explanation:

Answer:

2.4.

Step-by-step explanation:

the formula of the volume of a cylinder is ; πr²h.

so, we will have to substitute with the formula.

3.14 × 6 × 6 × h = 271.4

113.04h = 271.4

divide both sides by the number next to the unknown, which is 113.04.

you will get 2.4009200........

when u round off to the nearest tenths, you will get 2.4.

Answer:

It A

Step-by-step explanation:

Answer:

a. option is the correct answer

The set of integers is closed under the operation of addition because the sum of any two integers is always another integer and is therefore in the set of integers.

What are integers ?

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, .

According to the Property of Closure, A set has the closure property under a particular operation if the result of the operation is always an element in the set.  If a set has the closure property under a particular operation, then we say that the set is “closed under the operation.”

Hence ,  the set of integers is closed under the operation of addition because the sum of any two integers is always another integer and is therefore in the set of integers.

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Probability that a customer ordered a hot drink given that he or she ordered a large is 29.33 %

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.

From the table, we have:

n(hot and large) = 22

n(hot and small) = 5

n(hot and medium) = 48

n(hot) = 22 + 5 + 48 = 75

So, the probability P(hot | large) is calculated as:

P(hot | large) = 22/75

P( hot | large) = 0.2933

Round to the nearest hundredth

P(hot | large) = 29.33 %

Probability that a customer ordered a hot drink given that he or she ordered a large is 29.33 %

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They should mix 16 pounds of City Roast Columbian coffee with 4 pounds of French Roast Columbian coffee to make their blend.

Let x be the number of pounds of City Roast Columbian coffee.

Let y be the number of pounds of French Roast Columbian coffee.

The total cost of the blend is 7.80x + 8.10y

The total weight is x + y = 20.

We can write an equation for the cost per pound:

(7.80x + 8.10y) / 20 = 7.86.

We will multiply both sides by 20 which gives:

7.80x + 8.10y = 157.20.

We can use this equation along with the total weight equation to solve for x and y:

x + y = 20

y = 20 - x (subtract x from both sides)

7.80x + 8.10(20 - x) = 157.20 (substitute y = 20 - x into the cost equation)

7.80x + 162 - 8.10x = 157.20 (distribute)

-0.30x = -4.80

x = 16

Solve for the equation (x + y = 20):

y = 20 - x

y = 20 - 16

y = 4.

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Answer:

yes

Step-by-step explanation:

Step-by-step explanation:

To calculate the minimum number of days required to finish this project, we need to use the critical path method (CPM), which involves identifying the longest sequence of dependent tasks and their durations.

First, we need to draw the network diagram for the project:

```

|---(T1-8)---(T3-10)---|

(T2-6) (T5-12)

| / |

|---(T4-7)---(T6-15)---|

```

Next, we need to calculate the earliest start time (EST), earliest finish time (EFT), latest start time (LST), and latest finish time (LFT) for each task. For the starting task, EST = 0 and EFT = 0.

```

EST EFT LST LFT

T1 (8 days) 0 8 22 30

T2 (6 days) 0 6 6 12

T3 (10 days) 8 18 22 32

T4 (7 days) 18 25 25 32

T5 (12 days) 18 30 32 44

T6 (15 days) 32 47 32 47

```

The critical path is the longest sequence of dependent tasks that have no slack (i.e., the difference between LST and EST, or LFT and EFT, is zero). In this case, the critical path is T1-T3-T5-T6.

Therefore, the minimum number of days to finish this project is the sum of the durations of tasks on the critical path:

8 + 10 + 12 + 15 = 45 days

Therefore, the minimum number of days required to finish this project is 45 days.

The recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹

From the question, we have the following parameters that can be used in our computation:

This means that

Initial, a = 250 bacterial cultures.

Rate = 3

So, the recursive formulas is

f(n) = 3f(n - 1), where f(1) = 250

For the explicit formula, we have

f(n) = 250(3)ⁿ‐¹

Hence, the recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹

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There are 66,960 number of ways to set up a batting order of 9 players from among the 12 players on the baseball team.

To determine the number of ways to set up a batting order of 9 players from among the 12 players on a baseball team, we can use the concept of permutations.

Since the order matters in a batting order, we can use the formula for permutations.

The number of permutations of selecting 9 players from a pool of 12 players is given by:

P(12, 9) = 12! / (12 - 9)!

Calculating this, we have:

P(12, 9) = 12! / 3!

= (12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4) / (3 * 2 * 1)

= 12 * 11 * 10 * 3 * 7 * 2

= 66,960

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the solution to the equation 4z + 5 = -3z - 8 is z = -13/7.

How to solve?

We are given the equation 4z + 5 = -3z - 8.

To solve for z, we need to isolate the variable on one side of the equation. We can do this by adding 3z to both sides:

4z + 5 + 3z = -8

Simplifying, we get:

7z + 5 = -8

Next, we can subtract 5 from both sides:

7z = -13

Finally, we can divide both sides by 7 to solve for z:

z = -13/7

Therefore, the solution to the equation 4z + 5 = -3z - 8 is z = -13/7.

To check our answer, we can substitute z = -13/7 back into the original equation and see if both sides are equal:

4z + 5 = -3z - 8

4(-13/7) + 5 = -3(-13/7) - 8

-52/7 + 5 = 39/7 - 56/7

-47/7 = -47/7

Since both sides are equal, our solution is correct.

So, the solution to the equation 4z + 5 = -3z - 8 is z = -13/7.

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Answer:

9x^4 [ x^3 + 5x^2 - 2 ]

Step-by-step explanation:

9x^7 - 36x^4 + 45x^6

=9x^7 + 45x^6 - 36x^4

=9x^4 [ x^3 + 5x^2 - 2 ]

//

I hope this is the answer that you are looking for

The correct option, for the sum of the series is

d. its sum is 1/10

To find the sum of the series Σ 1 / (n+9)(n+10), we can rewrite it as follows:

Σ 1 / (n+9)(n+10) * 1(n + 9) = Σ (1 / (n+9)) - (1 / (n+10))  * 1(n + 9)

Now, let's evaluate the terms of the series:

When n = 0:

Term 1: 1 / (0+9) = 1/9

Term 2: 1 / (0+10) = 1/10

Term 3:  1(0 + 9) = 9

Therefore, the sum of the series when n = 0 is:

(1/9 - 1/10) * 9 = 1/90 * 9

So, the sum of the series when n = 0 is 1/10.

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Yes, the wait time significantly decreased after implementing the new system, based on hypothesis testing.

To determine if the wait time has significantly decreased, we can conduct a hypothesis test using the one-sample t-test. The null hypothesis, denoted as H0, is that the population mean waiting time is still 84.3 seconds, while the alternative hypothesis, denoted as Ha, is that the population mean waiting time has decreased to less than 84.3 seconds.

Let's set the significance level at α = 0.05. Since the sample size is large (n = 45), we can use the t-distribution to conduct the hypothesis test. The test statistic can be calculated as:

t = (sample mean - population mean) / (sample standard deviation / sqrt(sample size))

t = (79.1 - 84.3) / (17.3 / sqrt(45))

t = -2.16

Using a t-distribution table or calculator with 44 degrees of freedom

(df = n - 1), the p-value for this test is found to be approximately 0.018.

Since the p-value (0.018) is less than the significance level (0.05), we reject the null hypothesis. This means we have evidence to suggest that the wait time has significantly decreased after implementing the new drive-through system.

Therefore, based on the given data, we can conclude that the wait time has significantly decreased at the fast-food restaurant after implementing the new drive-through system.

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Answer:

Step-by-step explanation:

Function given

Range = -5

Domain is -1

Then, the complement of V is either uncountable or at most countable.

Thus, the complement of V is in A.

Therefore, A is an o-algebra.

Given X is an uncountable set and A = {V: VCX, V is at most countable or VC is at most countable}  

Then, we need to show that A is an o-algebra.

To show that A is closed under complements, we need to show that if V is in A, then the complement of V is also in A.  

Let V be at most countable or VC is at most countable.

An o-algebra is a collection of subsets of a set that is closed under countable unions, countable intersections, and complements.

It's a type of algebra, but with the added property that it's closed under countable unions and intersections.

This means that any sequence of sets in the o-algebra can be combined in a countable way and still be in the o-algebra.

Now, let's prove that A is an o-algebra.

To show that A is an o-algebra, we need to show that it satisfies the following conditions:

1. A contains the empty set.

We know that the empty set is countable and therefore, A contains the empty set.

2. A is closed under countable unions.

To show that A is closed under countable unions, we need to show that if Vn is in A for all n, then the union of all Vn is also in A.

Let Vn be at most countable or VC is at most countable.

Then, the union of all Vn is also at most countable or VC is at most countable.

Thus, the union of all Vn is in A.3.

A is closed under complements.

To show that A is closed under complements, we need to show that if V is in A, then the complement of V is also in A.

Let V be at most countable or VC is at most countable.

Then, the complement of V is either uncountable or at most countable.

Thus, the complement of V is in A.

Therefore, A is an o-algebra.

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Answer:

9

Step-by-step explanation:

9 (t3+0.5)

his running time is 9

Answer:

1.5 Hrs

Step-by-step explanation:

SWIM:  Time: T    Rate: 2.5mph   Distance: 2.5T

RUN:    Time: T+0.5  Rate: 9mph   Distance: 9T+4.5

BIKE:    Time: 2T+1  Rate: 16mph   Distance: 32T+16

2.5T+9T+4.5+32T+16 =  64

43.5T+20.5=64

43.5T=43.5

T=1

RUN: T+0.5= 1+0.5=1.5      

Answer:

x=2

Step-by-step explanation:

We have

y = 2x-1

y= 4x-5

Therefore, as 2x-1=y=4x-5, we can say that

2x-1=4x-5

add 1 to both sides to make one side have only x components

2x = 4x-4

subtract 4x from both sides to separate the x components

-2x = -4

divide both sides by -2 to separate the x

x = 2

I think that the length's area is 6075