may used 2/7 of a ribbon to make bows for her cousins. Now, she has 10/21 of a meter of ribbon left.
How much ribbon did Jennifer start with?

The sum of the reciprocals of the roots of the equation\(\[\frac{2003}{2004}x + \frac{1}{x} = 1\]\)is 1.

To solve this, let's first find the roots of the given equation.

Clear the fraction by multiplying both sides by 2004x:

2003\(x^2\) + 2004 = 2004x

Rearrange the equation to form a quadratic equation:

2003\(x^2\) - 2004x + 2004 = 0

Now, let's use Vieta's formulas, which relate the coefficients of a quadratic equation to the sum and product of its roots.

Let the roots of the equation be r1 and r2. According to Vieta's formulas, we have:

Sum of the roots: r1 + r2 = -b/a

Product of the roots: r1 × r2 = c/a

In our case, a = 2003, b = -2004, and c = 2004.

Calculate the sum of the roots:

r1 + r2 = -(-2004) / 2003 = 2004 / 2003

Find the sum of the reciprocals of the roots:

(1/r1) + (1/r2) = (r1 + r2) / (r1 × r2)

Since we already have the sum of the roots, we only need the product of the roots to complete the calculation:

r1 × r2 = 2004 / 2003

Plug the values into the equation:

(1/r1) + (1/r2) = (2004 / 2003) / (2004 / 2003) = 1

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Answer:

Step-by-step explanation:

n = 7 so it is:

5(7) - 4

= 35 - 4

= 31.

Answer:

-10 +5

its +5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

i just know it

The standard deviation is a useful tool in understanding the spread of data and making inferences about the population mean based on sample means.

The standard deviation is a measure of how spread out the data is from the mean.

In this case, the mean recycled material collected per household in other local authorities is 40kg with a standard deviation of 15kg.

In part a, the probability of a randomly selected household recycling less than 30kg in a given week is calculated. In part b, the probability of the sample mean recycled material collected in a given week being less than 30kg for a sample of 100 households is calculated.

In part c, it is explained that finding a sample mean of 30kg for 100 households on a single street does not necessarily mean that the recycling scheme of local authority A is not working.

Finally, in part d, a 95% confidence interval for the mean amount of recycled material per household in local authority A is constructed after an advertising campaign.

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This equation x + (x + 1) + (x + 2) = negative 21 will be used.

Let the first Number is x.

We have to take 3 consecutive integers.

second Number is x+1

third Number is x+2.

Sum of these 3 consecutive integers is x+(x+1)+(x+2).

Sum of these 3 consecutive integers is given as negative21.

so we can write  x+(x+1)+(x+2)=negative 21.

by using above equation we can find the value of 3 numbers.

So the final equation will be x + (x + 1) + (x + 2) = negative 21.

Given Question is incomplete, Complete Question here:

Three consecutive integers have a sum of –21. Which equation can be used to find the value of the three numbers? x + x + x = negative 21 x + 2 x + 3 x = negative 21 x + (x + 1) + (x + 2) = negative 21 x + (x + 2) + (x + 4) = negative 21

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The following ordered pair is given as {(1, -1), (2,0), (3,1)} for the given data of movement of arrow.

A set comprises elements or members that can be mathematical objects of any sort, including numbers, symbols, points in space, lines, other geometric forms, variables, or even other sets. A set is the mathematical model for a collection of various things.

An ordered pair consists of two items. The order of the objects in the pair matters because, unless a = b, the ordered pair differs from the ordered pair. Ordered pairs are also known as 2-tuples, or 2-length sequences.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence. In order to understand a point visually, it might be helpful to position it on the Cartesian plane. An ordered pair's numerical values may be fractions or integers.

The following ordered pair is given as {(1, -1), (2,0), (3,1)} for the given data of movement of arrow.

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Answer:

D

Step-by-step explanation:

False. If E and F are independent events, then Pr(E|F) is not necessarily equal to Pr(E).

The probability of an event E given event F, denoted as Pr(E|F), represents the probability of event E occurring given that event F has already occurred. In the case of independent events, the occurrence of one event does not affect the probability of the other event occurring.

By definition, two events E and F are independent if and only if Pr(E ∩ F) = Pr(E) × Pr(F), where Pr(E ∩ F) represents the probability of both events E and F occurring.

Now, let's consider the statement that Pr(E|F) = Pr(E) when E and F are independent events. This implies that the probability of event E occurring given that event F has occurred is the same as the probability of event E occurring without any knowledge of event F.

However, this is not necessarily true. The conditional probability Pr(E|F) takes into account the occurrence of event F, which may affect the probability of event E. Even if events E and F are independent, the value of Pr(E|F) may differ from Pr(E) if the occurrence of event F provides additional information or changes the probability distribution of event E.

The statement "Pr(E|F) = Pr(E)" when E and F are independent events is false. While independence between events E and F ensures that the occurrence of one event does not affect the probability of the other event, it does not guarantee that the conditional probability Pr(E|F) will be equal to the unconditional probability Pr(E).

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Answer:

The expression to find the perimeter is 12x² - 6, and the perimeter when x= 1.5 is 21

Step-by-step explanation:

The perimeter is the sum of all side lengths for a 2d shape, such as this triangle. Our perimeter is thus

4x² - 3 + 4x² - 2 + 4x² - 1

We can then separate our variables and constants to make it

4x² + 4x² + 4x² - 3 - 2 - 1

Add the constants to get

4x²+4x²+4x²  - 6

To add variables, we must first make sure that they are the same variable/letter as well as to the same degree. The coefficient only affects the result. Because all of our variables are the same letter (x) and are all to the second degree, we can add them. To do this, we simply add the coefficients together to make one big coefficient, and multiply that by the variable. Thus,

4x² + 4x² + 4x² = (4+4+4)x² = 12x²

4x²+4x²+4x²  - 6 = 12x² - 6

Another way of looking at it is that 4x² = 4(x²) = x²+x²+x²+x²

Therefore, the expression to find the perimeter is 12x² - 6, and the perimeter when x= 1.5 is 12 * 1.5² - 6 = 21

Answer:

t = 28 minutes

Step-by-step explanation:

Last Saturday, Camila practiced her dance routines for her upcoming competition. She spent some time practicing her tap routine, and then she spent 17 minutes practicing her hip-hop routine. In all, she practiced for 45 minutes. Let t be the number of minutes that Camila practiced her tap routine. Write and solve an equation to find t.

45 minutes = Number of minutes for hip-hop routine + Number of minutes for tap dance

The equation is given as

45 = 17 + t

Solving for t

t = 45 - 17

t = 28 minutes

Shes spent 28 minutes tap dancing

Step-by-step explanation:

Since cotθ = (cosθ/sinθ)

(cotθ)(sinθ) = (cosθ/sinθ)(sinθ) = cosθ. (A)

the unpacked and packed BCD representations of the given decimal numbers are as follows:

a. Decimal 29:

Unpacked BCD: 0010 1001

Packed BCD: 00101001

b. Decimal 88:

Unpacked BCD: 1000 1000

Packed BCD: 10001000

Decimal numbers are defined as a numeral system that uses ten distinct symbols to represent numbers. In the binary-coded decimal, a decimal digit is represented by a group of 4 bits. Each decimal digit is represented by its own binary number in an unpacked format.

Expressing the in unpacked BCD bytes 29 The unpacked BCD takes one byte per digit, so to convert the given decimal number to unpacked BCD bytes, we follow these steps:

29 → 2 and 9 (Separating the decimal number)2 → 0010 in binary9 → 1001 in binary

Hence, 29 in unpacked BCD is 0010 1001.88

The unpacked BCD takes one byte per digit, so to convert the given decimal number to unpacked BCD bytes, we follow these steps:

88 → 8 and 8 (Separating the decimal number)8 → 1000 in binary8 → 1000 in binary

Hence, 88 in unpacked BCD is 1000 1000.

To represent the decimal digits in packed BCD bytes, we use two decimal digits per byte.29To convert the given decimal number to packed BCD bytes, we follow these steps:

29 → 0010 1001

Hence, 29 in packed BCD is 0010 1001.88

To convert the given decimal number to packed BCD bytes, we follow these steps:

88 → 1000 1000

Hence, 88 in packed BCD is 1000 1000.

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Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

Answer:

y=-8/7x+8/7

Step-by-step explanation:

We have to find the probability of randomly drawing a chip number that is smaller than 213.

As the chips are numbered from 1 to 348,this probability will be equal to the proportion of chips that have a number that is less than 213.

We have 212 chips in the bag that have a number less than 213, so we can calculate the probability P as:

Answer: the probability is 53/87 or approximately 0.6092.

The linear equation that will produce a system with no solutions is:

y = 3*(x - 2)

A system of linear equation has no solutions only if the two linear equations are parallel.

And two linear equations are parallel only if the lines have the same slope and a different y-intercept.

Here the given linear equation is:

y = 3x + 6

So the slope is 3 and the y-intercept is 6.

Then another line of the form:

y = 3*x + c

Such that c is different than 6 will be the correct option.

Then here the correct option is the last one:

y = 3*(x - 2)

Expanding we get:

y = 3*x - 6

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Answer:

its b) y = - 3 (x + 6)

Step-by-step explanation:

just did the quiz on edge :)

Solution :

the coordinates for W′ = (-1,3)

Trapezoid :

A trapezoid is necessarily a convex quadrilateral in Euclidean geometry. The parallel sides are called the bases of the trapezoid. The other two sides are called the legs (or the lateral sides) if they are not parallel; otherwise, the trapezoid is a parallelogram, and there are two pairs of bases). A scalene trapezoid is a trapezoid with no sides of equal measure

Y = (-2,1)

Y' = (0,3)

Unit shift for Y to Y'

By distance formula :

yy' = \(\sqrt{{(x2-x1})^{2} +( y2-y1)^{2} }\\\)

= root of (2)^2 +(2^2)

= root of 4+4

Root of 16

= root of 4

Unit shift for Y to Y' = 4

then

w = (-5,-1)

shift by adding 4

W' = (-5+4, -1+4)

W' = (-1,3)

the coordinates for W′ = (-1,3)

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Answer:

-5x^4y^3

Step-by-step explanation:

so you divide -25 by 5 and the rule is if it is division for exponents then you subtract the exponent so 6-2=4, 7-4=3, 3-3=0. z^0 is 1 so we don't have to write it out.

Answer:

20

Step-by-step explanation:

Triangle inequality says that the third side can only be 18-3...15, that is bigger than 15.

And 18+3... 21, that is smaller than 21.

If the third side is 21, the 18 and the 3 will just lay right on top of the 21 and not make a triangle. So it has to be 20 in order to be a whole number.

The statement "D. Given any two distinct lines in the Cartesian plane, the two lines will either be parallel or perpendicular" is NOT true.

A. The statement is true. The ratios of the vertical rise to the horizontal run, also known as the slopes, of any two distinct nonvertical parallel lines are equal. This is one of the properties of parallel lines.

B. The statement is true. If two distinct nonvertical lines are parallel, then they have the same slope. Parallel lines have the same steepness or rate of change.

C. The statement is true. Given two distinct lines in the Cartesian plane, the two lines will either intersect at a point or they will be parallel and never intersect. These are the two possible scenarios for distinct lines in the Cartesian plane.

D. The statement is NOT true. Given any two distinct lines in the Cartesian plane, they may or may not be parallel or perpendicular. It is possible for two distinct lines to have neither parallel nor perpendicular relationship. For example, two lines that have different slopes and do not intersect or two lines that intersect but are not perpendicular to each other.

Therefore, the statement "D. Given any two distinct lines in the Cartesian plane, the two lines will either be parallel or perpendicular" is the one that is NOT true.

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Answer:

$63.00

Step-by-step explanation:

Your first step is to change the percents into fractions, you do this by moving the decimal point two times to the left.

Your equations look like this:

Tip equation: .18 * 50 = $9.00

Tax equation: .08 * 50 = $4.00

Then you just add them all up to get the total, and you get,

9+4+50 = 63

Answer:The distance around a rectangle or a square is as you might remember called the perimeter. The distance around a circle on the other hand is called the circumference (c).

circle diameter radius

A line that is drawn straight through the midpoint of a circle and that has its end points on the circle border is called the diameter (d)

Half of the diameter, or the distance from the midpoint to the circle border, is called the radius of the circle (r).

The circumference of a circle is found using this formula: so the answer is B

Step-by-step explanation:

Answer:

  circumcenter

Step-by-step explanation:

You want to know the name of the point equidistant from the vertices of a triangle.

The circle that passes through the vertices of a triangle is called a "circumcircle". It circumscribes the triangle. Its center is equidistant from all points on the circle, so is equidistant from the triangle's vertices.

The point equidistant from the vertices of a triangle is the circumcenter.

__

Additional comment

The circumcenter is at the intersection of the perpendicular bisectors of the sides of the triangle.

Answer:

99cm^2

Step-by-step explanation:

The formula for area of a triangle is 1/2bh=a with b being the base and h being the height. Base and height here are 18cm and 11cm so multiplying them gets 198, multiply by 1/2 and get 99cm^2.

If the radius of a cone is doubled and the height remains the same, the volume of the original cone will be affected. To understand this effect, we must first understand the formula for calculating the volume of a cone. The formula is V = (1/3)πr^2h, where V is the volume, r is the radius, and h is the height.

When the radius of a cone is doubled, we can see that this change will affect the value of r in the formula. If we substitute 2r for r in the formula, we get V = (1/3)π(2r)^2h. Simplifying this equation gives us V = (4/3)πr^2h. This tells us that the volume of the original cone will be multiplied by a factor of four when the radius is doubled and the height remains the same.

In summary, if the radius of a cone is doubled and the height remains the same, the volume of the original cone will be multiplied by a factor of four. This is because the formula for calculating the volume of a cone involves the radius raised to the second power, which means that doubling the radius will quadruple the volume of the cone.

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Answer:

Step-by-step explanation:

y=10

Answer:

80

Step-by-step explanation:

area is length × width. 8 × 10 = 80

Answer:

question given unclear bro add a photo or something it isnt clear

Step-by-step explanation: