a rectangular table top is three times as it is wide. it's width is 2 meters. what is the area of the table top

Answer:

25 liters will last 82 minutes.

Step-by-step explanation:

All you have to do is divide 23 by 7 to get the minutes per liter.

This will get 3.285714285714286.

Next you multiply 3.285714285714286 by 25 and you get 82.14285714285714.

But since we need to round the answer by the closest minute the answer would be 82 minutes.

Hope this helped :D

The width of the pool is 18 feet, and the length is 24 feet (since it is 6 feet longer than the width).

Let's represent the width of the pool as x. Then, the length of the pool would be x + 6.

The total area of the pool and walk is given by:

Total area = (length + 2(4)) × (width + 2(4))

Total area = (x + 6 + 8) × (x + 4)

Total area = (x + 14) × (x + 4)

The area of the pool itself is given by:

Pool area = length × width

Pool area = x(x + 6)

Pool area = x² + 6x

We're told that the total area is 272 more than the area of the pool:

Total area = Pool area + 272

(x + 14) × (x + 4) = x² + 6x + 272

Expanding the left side of the equation:

x² + 18x + 56 = x² + 6x + 272

Simplifying the equation:

12x = 216

Solving for x:

x = 18

So the width of the pool is 18 feet, and the length is 24 feet (since it is 6 feet longer than the width).

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Full Question: A rectangular pool is surrounded by a walk 4 feet wide. The pool is six feet longer than its wide. If the total area is 272 ft² more than the area of the pool,what are the dimension of the pool?

Heyyy friend.!!!! Hope it helps uh....

Answer:For the first 40 hours, Mr. Smith earned:

$23.20/hour × 40 hours = $928.00

For the additional 11.5 hours, he earned:

$23.20/hour × 1.5 = $34.80/hour

So, for these hours, he earned:

$34.80/hour × 11.5 hours = $400.20

Adding these amounts together, we get:

$928.00 + $400.20 = $1,328.20

Therefore, Mr. Smith earned $1,328.20 last week.

Step-by-step explanation:

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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Answer:

12

Step-by-step explanation:

The average rate of change in the closed interval [ a, b ] is

\(\frac{f(b)-f(a)}{b-a}\)

Here [ a, b ] = [ 2, 4 ]

f(b) = f)4) = 32 ← from table

f(a) = f(2) = 8 ← from table

Then average rate of change is

\(\frac{32-8}{4-2}\) = \(\frac{24}{2}\) = 12

Answer:

8

Step-by-step explanation:

Deer = snow flake = 4

4 + 4 + 4 = 12

Dear - 3 = 1

Snowman = 1

Tree = 8

8 + 1 (snowman) + 8 = 17

Answer:

-2.3 -  1.2 = -3.5

Step-by-step explanation:

when we’re doing negative adding means subtracting so what I idi was add 2.3 and 1.2 and I got 3.5 so I think what number is bigger it’s -2.3 so since it’s negtive I put a negative that’s how I got it

Steps to solve:

-8(x - 3) - 9

~Distribute

-8x + 24 - 9

~Combine like terms

-8x = 15

~Divide both sides by -8

x = 15/-8

Best of Luck!

For the function F(x)=1/x-2, if x is close to 2 then the value of F(x) may be 10000.

Function is relationship between two or more variables expressed in equal to form. In a function each value of x must have a corresponding value of y.

We have to find the value of function when x is close to 2. Let the number which closes to 2 is 2.0001. Put the value of x in the function to find the value of function.

F(x)=1/x-2

=1/2.0001-2

=1/0.0001

=10000

Hence for the function F(x)=1/x-2 the value of function could be 10000 if x is close to 2.

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You can do this problem in two ways.
Either the long way or the short and easy way.

Here is the easy way:

You do 180x1.06 to get you their total of $190.80

Or you can do the slightly longer way which finds you the tax amount which then you can add onto the total:

You do 180*0.06 which gets you $10.80 of tax. $10.80 is how much tax they have to pay on top of the $180, then we can do 180+10.80 to get us the grand total of $190.80.

Happy to help

Answer:

23.63

Step-by-step explanation:

First you want to start with PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition and Subtraction)

Since we have parentheses we will start with those

\(4.5 * 10 = 45\\4.2 *10 =42\\8 *10= 80\)

for the decimals whenever you multiply a decimal by 10 you move the period one over to the right

now our equation looks something like this:

45 * 42 ÷ 80

for multiplication and division it doesn't matter which comes first as long as its in the order of the equation

\(45 * 42 = 1890\)

now we divide that by 80

1890 ÷ 80= 23.625

so then we rounded the 2 to 3 because if the number to the right is ≥ (greater than or equal to) 5 we round up, therefore having:

23.63

Answer:

x= 3

Step-by-step explanation:

Move all the terms that do not contain x to the right side and solve.

Hope this helped!

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The amount more in interest over the life of the loan which Nellie have to pay is $14814.

Bankruptcy is the procedure by which the people who are unable to pay the debts to creditors, may get relief from some or all the debts.

Nellie has a bankruptcy on her credit report and therefore pays higher interest rates on her current loans.

Nellie took out a car loan for $45,000 payable for 6 years at an interest rate of 15%. Thus, the interest is,

\(I=\dfrac{45000\times6\times15}{100}\\I=40500\)

If she had not applied for bankruptcy, she would have been able to take out the loan at a rate of 6%. In this case, the interest paid would be,

\(I=\dfrac{45000\times6\times6}{100}\\I=16200\)

The difference between the interest paid would be,

\(I=40500-16200\\I=24300\)

Hence, the amount more in interest over the life of the loan which Nellie have to pay is $14814.

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✛ Here ✛

\( \qquad \sf \:➛ \: x = \frac {4 }{20} \\ \qquad \sf \:➛ \: x = \frac { \cancel4 }{ \cancel{20}} \\ \qquad \sf \:➛ \: x = 0.2min\)

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★ Hence probabllty that the news and weather report is NOT on P(A)

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Hope it helps !

If a player can play a game by rolling a fair die several times. the player can win money based on the numbers rolled, then the expected payout is $204

To find the expected payout of the game, first we need to multiply each payout amount by its probability and then sum up the results.

Assume that the remaining probability has a payout of 0 so that the probabilities add to 1

From the table,

Expected payout of the game = (140 × 0.101) + (4400 × 0.029) + (155000 × 0.0004)

Multiply the numbers

= 14.14 + 127.6 + 62

Add the numbers

= 203.74

≈ $204

Therefore, the expected payout of the game is approximately $204.

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The given question is incomplete, the complete question is :

A player can play a game by rolling a fair die several times. the player can win money based on the numbers rolled. the table shows the probability of each payout amount (assume that the remaining probability has a payout of 0 so that the probabilities add to 1). to the nearest dollar, what is the expected payout of the game?

Answer: W = 2/L

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

19000 Pa

Step-by-step explanation:

Answer:

560, 600, 620, 630, 640, 650

Step-by-step explanation:

Just counted from 10, I guess.

Because of the slow process to get to high team productivity, organizational productivity may fall before it rises.

Because teams give employees the freedom to manage themselves and gain respect and dignity, employees in teams often experience organizational productivity, this is known as enhanced performance.

Firms offer various training and development programs to their employees to enhance their skills and knowledge. These programs could be on-the-job training, coaching, mentoring, workshops, and seminars. The aim is to equip employees with the necessary skills and knowledge required to perform their job functions effectively.

They also set performance goals and expectations for their employees to help them stay focused on achieving specific objectives. These goals are typically aligned with the firm's overall objectives and may include performance metrics, such as productivity, quality, efficiency, and customer satisfaction. Incentives and benefits are offered to motivate employees to perform at their best.

Missing words "Because of the may fall before it rises Because teams give employees the freedom to manage themselves and gain respect and dignity, employees in teams often experience organizational productivity Use your knowledge of how to effectively move to a team-based organization to answer the following question."

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Answer:

The closest answer would be C.) 3,767

Step-by-step explanation:

If you do 2,340 * 1.61 you will get your answer which is closest to 3,767.

The value is closest to the length, in kilometers, of the river is 3767 kilometers. Therefore, option C is the correct answer.

Given that, the length of a river = 2,340 miles.

Convert miles to kilometers by multiplying the number of miles by 1.61, since there are 1.61 kilometers in a mile.

Multiply the 1.61 to the given number

Now, 2340 × 1.61

= 3,767.4 ≈ 3767

The value is closest to the length, in kilometers, of the river is 3767 kilometers. Therefore, option C is the correct answer.

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To find the absolute maximum value of the function g(x)=−2x^2/x−1 over the closed interval [−3,5], we will use the Extreme Value Theorem (EVT).EVT states that if a function is continuous over a closed interval, then the function will have an absolute maximum and minimum over that interval.

So, for finding the absolute maximum value of the given function, we will follow these steps:Step 1: Check the function's domain.We know that the denominator of the function g(x) is x - 1, so the function is not defined at x = 1. However, the closed interval we are working with is [-3, 5], which does not include x = 1. Hence, the function is defined over this interval.Step 2: Find the critical points of the functionTo find the critical points, we need to differentiate the function g(x) and equate it to zero:g'(x) = (-4x(x-1) + 2x^2)/(x-1)^2= 2x(3-x)/(x-1)^2=0So, the critical points of g(x) are x = 0 and x = 3.Step 3: Find the end-point values of the functiong(-3) = -2/5, g(5) = -50/9.

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Answer:

x = 13

Step-by-step explanation:

BH / YL = HN / LR

28 / 21 = 3x-7 / x+11

cross-multiply:

4x + 44 = 9x - 21

-5x = -65

x = 13

Answer:13

Step-by-step explanation:

Let a = (-1, 4) and b = (2, 4). The angle between the vector, in degrees is 41.41°

The angle between two vectors, we can use the dot product formula:

a · b = |a| |b| cosθ,

where,

a · b represents the dot product of vectors a and b,

|a| and |b| are the magnitudes of vectors a and b, respectively, and

θ is the angle between the vectors.

First, let's calculate the magnitudes of vectors a and b:

|a| = √((-1)² + 4²)

    = √(1 + 16)

    = √17

|b| = √(2² + 4²)

    = √(4 + 16)

    = √20

    = 2√5.

Next, let's calculate the dot product of vectors a and b:

a · b = (-1)(2) + (4)(4)

       = -2 + 16

       = 14.

Substituting these values into the dot product formula:

14 = √17 × 2√5 × cosθ.

Simplifying:

14 = 2√(17 × 5) × cosθ,

14 = 2√85 × cosθ.

Dividing both sides by 2√85:

7 / √85 = cosθ.

cosθ ≈ 0.7647.

The angle θ in degrees, we can use the inverse cosine function (cos⁻¹):

θ ≈ cos⁻¹ (0.7647).

θ ≈ 41.41°.

Therefore, the angle between the vectors a and b is approximately 41.41 degrees.

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Answer:

\(\\A. |4+3|\ , E. |-4-3|\)

Step-by-step explanation:

\(We\ know\ that,\\Distance\ between\ two\ points\ on\ the\ graph= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\Here,\\Point\ 1=(-3,0)\\Point\ 2=(4,0)\\Hence,\\Distance\ between\ Point\ 1\ and\ 2\ =\sqrt{(4-(-3))^2+(0-0)^2}\\ Hence,\\Distance\ between\ Point\ 1\ and\ 2\ =\sqrt{(4-(-3))^2}\\Distance\ between\ Point\ 1\ and\ 2\ =(4-(-3)\\=4+3\\As\ |-4-3|\ and\ |4+3|\ are\ absolute, they\ can\ be\ additively\ equal\ to\ each\ other.\\Hence,\\|-4-3|=|4+3|\)

Answer:

Theoretical Probability: P(even) = . 1/2

Experimental Probability: P(evn) = 94/200 = 47/100

Step-by-step explanation:

The theoretical probability of getting a even number is 1/2 because it equally likely to get and not to get it. Since half of the numbers are even then the probability of getting an even is 1/2.

The theoretical probability of rolling an even number is one-half.

Hence, Option B is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

To find the theoretical probability of rolling an even number, we need to determine how many of the 6 possible outcomes are even.

In this case, we have 3 even outcomes: 2, 4, and 6.

Therefore, the probability of rolling an even number on a fair die is:

P(even) = number of even outcomes / total number of outcomes

P(even) = 3 / 6

P(even) = 1/2

Thus, The theoretical probability of rolling an even number is one-half.

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C is the most accurate one i guess

Answer: ten -  80(?)

hundred - 100

whole number - 80

tenth - 79.8