measure the length of a ordinary sheet of 8x11 paper in metric units (if you do not have a metric measuring device, you can measure in us units and use a free online conversion tool to change to metric units). what is the area of the sheet of paper in correct metric units?

Answer:

35.5

Step-by-step explanation:

1)The expression 4x^2-16x+12/x^2-9 is undefined when the denominator, x^2-9, equals zero because division by zero is undefined.

x^2-9 equals zero when x equals 3 or x equals -3. Therefore, the expression is undefined at x = 3 and x = -3. In all other cases, the expression is defined.

2) The given expression is:

(5-2x)/(x+2) + x^2/(x^2-4) - 5

To simplify this expression, we need to first find the LCD (least common denominator) of the two fractions. The denominator of the first fraction is x+2, and the denominator of the second fraction is x^2-4, which can be factored as (x+2)(x-2). So the LCD is (x+2)(x-2). Now we can rewrite the expression with this common denominator:

[(5-2x)(x-2) + x^2(x+2) - 5(x+2)(x-2)] / [(x+2)(x-2)]

Expanding the brackets and simplifying, we get:

(-x^3 - 3x^2 - 3x + 5) / [(x+2)(x-2)]

This expression is undefined when the denominator, (x+2)(x-2), equals zero because division by zero is undefined.

(x+2)(x-2) equals zero when x equals -2 or x equals 2. Therefore, the expression is undefined at x = -2 and x = 2. In all other cases, the expression is defined.

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It has one solution which is X=5

Hope this helps

Have a great day/night

Feel free to ask any questions

Step-by-step explanation:

y is easy.

it is the Hypotenuse (baseline) of the small right-angled triangle created by the height (8) of the main triangle, the segment 6 of the main Hypotenuse and y.

so, Pythagoras :

y² = 8² + 6² = 64 + 36 = 100

y = 10

x is a bit more complex.

I think the easiest way to get it is to know that the height of a right-angled triangle to the Hypotenuse is the square root of the product of both segments of the Hypotenuse.

so, if we call the segments of the Hypotenuse a and b with a = 6, we have

x = a + b = 6 + b

height (8) = sqrt(a×b) = sqrt(6b)

therefore,

6b = height² = 8² = 64

b = 64/6 = 32/3 = 10 2/3 = 10.66666666...

so,

x = 6 + 10.66666... = 16.666666666...

round it to what is needed. e.g. 2 positions after the decimal point (hundredths) ? then it would be 10.67

The value of m∠SRT as shown in the circle below is 46.5°.

A circle is a round-shaped figure that has no corners or edges.

To calculate the value of m∠SRT, use the formula below

Formula:

But,

From the diagram,

Given:

Substitute these values into equation 2

Finally we substitute the value m∠SUT into equation 1

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Answer:

Y= 4   and    X=2

Step-by-step explanation:

When you are trying to find the X or Y value for an equation, set the opposite value to zero. That means that if you are trying to find Y in 6x+3y=12, you would make the X zero. Since six is being multiplied by X and X now equals zero, your equation for finding the Y value is now 3y=12. Divide them both by three and you get Y=4. In order to find your X value you would do the same thing. Since you are trying to find X, set the Y value to zero. That makes your equation for finding the X value 6x=12. That is because, again, you set Y to zero, and three times zero is zero. 6x=12 equals X=2 because you divide both sides by 6.

Answer:4y    2x    i need only one brainlist to upgrade my level pls

Ste-by-step explanation:

Answer:

840 megabytes

Step-by-step explanation:

hope this helps

Step-by-step explanation:

Down 10n

Is answer

hope it helps you to

Answer:

40

Step-by-step explanation:

40 because since we know c is 25 and b is 65 we have to subtract 25 from 65 and get 40

Answer:

4*0.40+5*0.75=5.35

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

add -16 and 9 together to get -7 then add the -5 to get -12

Answer:

-12

Step-by-step explanation:

(PEMDAS)

( -16 + 9 ) - 5 = -12

     -7     -   5 = - 12

Hope this helps!

Absolute maximum: (0,4) Since it is the highest point in the interval.

Absolute minimum: (-3,-5) Since it is the lowest point in the interval.

Answer:

Step-by-step explanation:

To sketch the curve of the equation y = x / (x^2 - 25), we can start by analyzing the behavior of the function for different values of x.

First, let's identify any vertical asymptotes by finding the values of x that make the denominator equal to zero. In this case, the denominator x^2 - 25 becomes zero when x = ±5. Therefore, we have vertical asymptotes at x = -5 and x = 5.

Next, let's check the behavior of the function near these vertical asymptotes. We can do this by evaluating the function for values of x that approach the asymptotes from both sides.

As x approaches -5 from the left side (x < -5), the function becomes very negative since the numerator (-5) is negative, and the denominator becomes positive but small. As x approaches -5 from the right side (x > -5), the function becomes very positive since the numerator (+5) is positive, and the denominator becomes positive but small. This indicates that there is a vertical asymptote at x = -5.

Similarly, as x approaches 5 from the left side (x < 5), the function becomes very negative since the numerator (-5) is negative, and the denominator becomes positive but small. As x approaches 5 from the right side (x > 5), the function becomes very positive since the numerator (+5) is positive, and the denominator becomes positive but small. This indicates that there is also a vertical asymptote at x = 5.

Next, let's find the x-intercepts of the function. The x-intercepts occur when y = 0. Therefore, we can set the numerator x to zero and solve for x:

0 = x

x = 0

So, we have an x-intercept at x = 0.

Now, let's find the y-intercept of the function. The y-intercept occurs when x = 0. Plugging in x = 0 into the equation, we get:

y = 0 / (0^2 - 25) = 0 / (-25) = 0

So, we have a y-intercept at y = 0.

Based on these observations, we can sketch the curve as follows:

There are vertical asymptotes at x = -5 and x = 5.

There is an x-intercept at x = 0.

There is a y-intercept at y = 0.

The curve approaches the vertical asymptotes as x approaches -5 and 5 from both sides. The function value becomes very large in magnitude as x gets close to the vertical asymptotes.

Please note that without more specific information or additional points, it is challenging to precisely sketch the curve. The given guidelines provide a general idea of the behavior of the function.

Step-by-step explanation:

Elisa made the greater number of withdrawals, because she made 9 withdrawals, while Frances only made 6 withdraws.

Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

To remove the single quotation marks ('') at the beginning and end of a string and remove the item at index 12, you can use Python's string manipulation methods and list slicing. First, you can use the strip() method to remove the surrounding single quotation marks. Then, you can convert the string into a list using the list() function, remove the item at index 12 using list slicing, and finally convert the list back into a string using the join() method.

To remove the single quotation marks at the beginning and end of a string, you can use the strip() method. This method removes any leading and trailing characters specified in the argument. In this case, you can pass the single quotation mark ('') as the argument to strip().

Here's an example:

string = "'example string'"

stripped_string = string.strip("'")

After executing this code, the value of stripped_string will be 'example string' without the surrounding single quotation marks.

To remove the item at index 12 from the string, you need to convert it into a list. You can use the list() function for this conversion. Then, you can use list slicing to remove the item at index 12 by excluding it from the list. Finally, you can convert the modified list back into a string using the join() method.

Here's an example:

string_list = list(stripped_string)

string_list.pop(12)

result_string = ''.join(string_list)

After executing this code, the value of result_string will be the modified string with the item at index 12 removed.

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The time taken to earn the interest of $205 on the investment by Hamad is 2563 days.

The formula for calculating the simple interest is-

SI = PRT/100

In which,

Put in formula.

205 = 5,500×11×T/200

T = 205×200 /  5,500×11

T = 0.67 years

T = 8.13 months = 253 days.

Thus, the time taken to earn the interest of $205 on the investment by Hamad is 2563 days.

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Answer:

312 mi/hr

Step-by-step explanation:

Distance = 2184 miles

Time taken = 7 hours

Average speed = Distance / time taken

Average speed = 2184 miles / 7 hours

Average speed = 312 miles per hour

Hence, the average speed Traveled by the plane traveling from Knoxville to Los Angeles is 312 miles per hour

Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.

Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.

The total amount of paint needed is 3 gallons, so we have the equation:

x + y = 3

The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:

(80/100)x + (30/100)y = (50/100)(x + y)

Simplifying this equation, we get:

0.8x + 0.3y = 0.5(x + y)

Now, we can solve this system of equations to find the values of x and y.

Let's multiply both sides of the first equation by 0.3 to eliminate decimals:

0.3x + 0.3y = 0.3(3)

0.3x + 0.3y = 0.9

Now we can subtract the second equation from this equation:

(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)

-0.5x = 0.9 - 0.5x - 0.5y

Simplifying further, we have:

-0.5x = 0.9 - 0.5x - 0.5y

Now, rearrange the equation to isolate y:

0.5x - 0.5y = 0.9 - 0.5x

Next, divide through by -0.5:

x - y = -1.8 + x

Canceling out the x terms, we get:

-y = -1.8

Finally, solve for y:

y = 1.8

Substitute this value of y back into the first equation to solve for x:

x + 1.8 = 3

x = 3 - 1.8

x = 1.2

Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

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The fourth vertex's coordinates are as follows: ( 2.1, -3.6)

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.

So, let the missing coordinates be (a,b).

Let's now utilize the midpoint formula to locate the erroneous coordinate.

Let the reference point be (-2.3, 3.6) A.

Let point B be (2.3, 2.2).

(2.1, 2.2) Let C be the point.

The center of AC should be at BD.

Step 1: Locating the AC's midpoint

Middle pint of AC:

(-2.3 + 2.1/2), (-3.6 + 2.2/2)

(0.2/2), (1.4/2)

(-0.1, -0.7)

Let's equate the midpoints in step two.

The BD mid-point:

(a + -2.3/2), (b + 2.2/2) =  (-0.1, -0.7)

(a + -2.3/2) = -0.1

(a -2.3/2) = -0.1*2

a = -0.2+2.3

a = 2.1

(b + 2.2/2) = -0.7

b + 2.2 = -0.7*2

b + 2.2 = -1.4

b = -1.4 -2.2

b = -3.6

Therefore, the fourth vertex's coordinates are as follows: ( 2.1, -3.6)

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Complete question:

Freddy drew a plan for a rectangular piece of material that hehe will use for a blanket. Three of the vertices are ​( -2.3 and −3.6​), ​(−2.3​, and 2.2​), and ​(2.1​, and 2.2​). What are the coordinates of the fourth​ vertex?

Answer:

b

Step-by-step explanation:

Answer:

x= 23/9

Step-by-step explanation:

(12 + 36x) - (12x + 18) = 36 + (6x + 4)

(12 - 18) + (36x - 12x) = 36 + 4 + 6x

-6 + 24x = 40 + 6x

-6 + 18x = 40

18x = 46

x = 46/18

x = 23/9

Answer:

23/9

Step-by-step explanation:

3(4 + 12x) - 6(2x + 3) = 36 + 2(3x + 2)

12 + 36x - 12x - 18 = 36 + 6x + 4

12 - 18 - 36 - 4 = -36x + 12x + 6x

-46 = -18x

x=46/18

x=23/9

The probability that a woman who gave birth at the hospital was both unmarried and over is 0.05.

Let's assume there were 100 women who gave birth at the hospital last year. We are given that % of them were over years old, which means 35 women were over years old. We are also given that % of them were unmarried, which means 20 women were unmarried. Since % of the women were over or unmarried (or both), it means there were 45 women who were either over or unmarried.

To find the probability that a woman was both unmarried and over, we divide the number of women who satisfy both conditions (i.e., unmarried and over) by the total number of women. Since we don't have the exact numbers, we assume that the events are independent, which means we multiply the probabilities of being unmarried and being over. Therefore, the probability is (20/100) * (35/100) = 0.05.

Hence, the probability that a woman who gave birth at the hospital was both unmarried and over is 0.05, or 5%.

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Sample size of at least 23 is required to be 99% confident that our estimate of the population mean is within ±6.

To calculate the required sample size, we can use the formula:

n = (Zα/2 * σ / E)²
Where:
n = sample size
Zα/2 = the Z-score for the desired confidence level, which is 2.58 for 99%
σ = the population standard deviation (assumed to be given)
E = the desired margin of error, which is 6 in this case.

Substituting these values, we get:

n = (2.58 * σ / 6)²

Since the population standard deviation is not given, we cannot find the exact sample size. However, we can use an estimated value of σ based on prior knowledge or a pilot study.

For example, if we assume σ = 10, then the sample size required would be:

n = (2.58 * 10 / 6)² = 22.25 ≈ 23

Therefore, we would need a sample size of at least 23 to be 99% confident that our estimate of the population mean is within ±6.

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Answer:

Step-by-step explanation:

We know that:

Apply it to the given to get:

Answer:

Each large malt costed $9.18

Step-by-step explanation:

You have a total of $28.35 do you subtract the price of the pizza which was $9.99, and you get 18.36(the price before the pizza was bought). so to get the price of one malt you divide that by 2 because two malts were bought and you get 18.36÷2= $9.18.

Answer:

6x2 − 12x − 30

Answer:

−2x^2 + x + 4

Step-by-step explanation:

Answer:

The answer is run because the line is going down.

Step-by-step explanation: