Which system of equations can be used to find the roots of the equation 12x³-5x-2x²+x+6?

Answer:

Umm lol I don't know why this person and said a weird message

Step-by-step explanation:

okay the answer is ufldnduejndhsjdnshsidmdjdhsoomsbdhdjdjdnd oof lol

There will be 0.84% chances that resulting sequence in cat to occur.

Total number of nucleotides floating around = 10

Let the event of picking cat be "A"

Number of cat in group = 3

Probability of picking cat is picked at first position = P(A1) = 3 / 10

= 0.3

Probability of picking cat is picked at second position = P(A2) =  2 / 9

= 0.223

Probability of picking cat is picked at third position = P(A3) = 1 / 8

= 0.125

so , probability of picking cat in first position and again in second position and again in third position will be = P(A1) . P(A2) . P(A3)

= 0.3 × 0.223 × 0.125

= 0.0084 required probability

There will be 0.84% chances that resulting sequence in cat

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The required length of the missing side is 9.28 units for the given triangle.

As shown triangle:

∠A = 104°

∠B = 47°

∠C = 29°

Side c = 7 units

Let's denote the length of the missing side as x.

Using the Law of Sines:

sin(A)/a = sin(B)/b = sin(C)/c

We know the values of angles A, B, and C, as well as the length of side c. Plugging in these values, we get:

sin(104°)/x = sin(47°)/7

To find x, we can rearrange the equation and solve for x:

x = (7 × sin(104°)) / sin(47°)

Using a calculator, to get the value of x:

x ≈ 9.28

Therefore, the length of side a (in front of angle A) is approximately 9.28 units.

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10,000 records have 30 predictor variables, each with 5% of the values missing, resulting in 15,000 missing values. The predictive model drops any row with even a single missing value, so 5,000 records would be dropped from the analysis.

1. There are 30 predictor variables.

2. Each variable has 5% of the values missing.

3. 5% of 10,000 records = 500 records.

4. 30 variables x 500 records = 15,000 missing values.

5. 10,000 records - 15,000 missing values = 5,000 records dropped from the analysis.

The data set has 10,000 records and 30 predictor variables. Each variable has 5% of the values missing, so 500 records are missing for each variable. This results in 15,000 missing values spread randomly and independently throughout the data set. The analyst uses a predictive model that drops any row (record) with even a single missing value, so 5,000 records would be dropped from the analysis.

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The maximum possible value for 'h' = 6 for the given set of system of inequalities.

For the given set of inequalities;

y ≤ 1/2x - 5

y ≥ 3x - 20

Equation both equation;

(1/2)x - 5 = 3x - 20

x - 10 = 6x - 40

Further simplifying;

-5x = -30

x = 6

Thus, the maximum possible value for 'h' is same as the value find for the x = 6; as h also represents the point on the x-axis.

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P(A - B) = P(A ∩ B') = P(A) - P(A ∩ B) ,P(A) = 0.5 ,P[(A ∩ B)' ] = 1 - P(A ∩ B) ,P(A' ∩ B') = 1 - P(A ∪ B)

1) To compute P(A - B), we need to find the probability of event A occurring without event B. This can be calculated as:

P(A - B) = P(A ∩ B') = P(A) - P(A ∩ B)

2) If P(A ∩ B) = 0.1, we can use the inclusion-exclusion principle to find P(A):

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

0.7 = P(A) + 0.3 - 0.1

0.7 = P(A) + 0.2

P(A) = 0.7 - 0.2

P(A) = 0.5

3) To compute P[(A ∩ B)' ], we can use the complement rule:

P[(A ∩ B)' ] = 1 - P(A ∩ B)

4) To compute P(A' ∩ B'), we can again use the complement rule:

P(A' ∩ B') = 1 - P(A ∪ B)

B) Let's prove the following identities:

1) P(A ∪ B ∪ C) = P(A) + P(B) + P(C) - P(A ∩ B) - P(B ∩ C) - P(A ∩ C) + P(A ∩ B ∩ C)

To prove this, we can use the inclusion-exclusion principle and Venn diagrams to visually represent the overlapping regions of the events.

2) P(A ∪ B ∪ C) = P(B) + P(A ∩ B') + P(C ∩ A' ∩ B')

To prove this, we consider the events A, B', and C' to find the regions of the Venn diagram that are not covered by A ∩ B, B ∩ C, or A ∩ C.

C) Let's prove the following using the axioms of probability:

1) P(A ∩ B) ≥ P(A) + P(B) - 1

To prove this, we can use the fact that probabilities are between 0 and 1, so P(A) + P(B) - 1 is the upper limit of the sum of individual probabilities.

2) P(A ∩ B ∩ C) ≥ P(A) + P(B) + P(C) - 2

To prove this, we can apply the same logic as in the previous case, considering that probabilities are between 0 and 1.

3) P(A ∪ B) - P(A ∩ B) = P(A) + P(B) - 2P(A ∩ B)

To prove this, we use the inclusion-exclusion principle and simplify the equation step by step.

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The collector's item has a growth rate of the  is approximately 0.1324, or 13.24%

To determine the growth rate of the collector's item, we can use the formula for exponential growth:

\(V = P * (1 + r)^t\)

Where:

V is the final value ($496),

P is the initial value ($212),

r is the growth rate, and

t is the time period (1986 - 1980 = 6 years).

We can rewrite the formula as:

\((1 + r)^6 = 496 / 212\)

To solve for r, we can take the sixth root of both sides:

\(1 + r = (496 / 212)^{(1/6)}\)

Subtracting 1 from both sides gives us:

\(r = (496 / 212)^{(1/6)} - 1\)

Using a calculator, we can calculate the value of r:

r ≈ 0.1324

Therefore, the growth rate of the collector's item is approximately 0.1324, or 13.24%.

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Therefore, In the figure, a∥b  angle m∠7 = 34° .

An angle is a figure in Euclidean geometry made up of two rays that share a vertex, or common terminus, and are referred to as the sides of the angle. Angles of two rays lie in the plane containing the rays. Angles can also result from the intersection of two planes. Dihedral angles are the name given to them.

Here,

Given that a and b are parallel lines,

∠3 and ∠7  are corresponding angles and congruent

m∠3 = 34°

thus ,m∠7 =m∠3 = 34°

so, m∠7 = 34°

Therefore, In the figure, a∥b  m∠7 = 34° .

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Answer:

Step-by-step explanation:

3x = f

2x = e

x is how many batches you want to make.

Given:

prtion D is the correct answer.

Answer:

Step-by-step explanation:

C:1

The scale factor of triangles ΔRST and ΔUVW is 1.

Option C is the correct answer.

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

ΔRST and ΔUVW have the same measure of the corresponding sides.

So,

RS/UV = 8/8 = 1

ST/VW = 7/7 = 1

RT/UW = 7/7 = 1

Thus,

The scale factor of ΔRST and ΔUVW is 1.

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The values of x and y on the similar triangles are given as follows:

x = 6, y = 10.

Similar triangles are triangles that share these two features given as follows:

The similar triangles in this problem are listed as follows:

ABC and DBE

Then the proportional relationship relating the side lengths is given as follows:

y/(y + 5) = x/9 = 8/12.

Then the measure of x is obtained as follows:

x/9 = 8/12

Applying cross multiplication, we have that:

12x = 72

x = 72/2

x = 6.

The measure of y is then obtained as follows:

y/(y + 5) = 6/9

y/(y + 5) = 2/3.

3y = 2y + 10

y = 10.

Hence the second option is correct.

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Answer:4

Step-by-step explanation: y=mx+b is the slope intercept form of an equation. m is the slope and b is the y-intercept. just substitute 4 for m and 2 for b and get the original equation y = 4x + 2. since 4 is m, then 4 is the slope.

Answer:

y= 4(x-5) 2

Step-by-step explanation:

It seems counterintuitive, but to shift a parabola, you have to subtract five from x. To shift to the left, you would simply add five to x instead of subtract.

Answer:

Step-by-step explanation:

Horizontal line:

Vertical line:

The intersection is (m, k)

No substitution is possible, as no variables to substitute

No

One is horizontal lines

That should be in this form

a is any number

A line is vertical

Look at both equations

a and b are not equal plus there is no x in horizontal line and no y in vertical line.

There is nothing to substitute

The solution will come (b,a)

Answer: 1 tablespoon

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

12 /13   is definitely less than 36/30   because 36/30 =  1  1/5

Answer: Lower-right corner  \(3^7 \times \frac{1}{3^4}\)

Explanation:

We use the rule that

\(a^{-b} = \frac{1}{a^b}\)

The negative exponent tells us to apply the reciprocal if we want the exponent to be positive.

In this case, a = 3 and b = 4

So,

\(a^{-b} = \frac{1}{a^b}\\\\3^{-4} = \frac{1}{3^4}\)

which is why overall,

\(3^7\times 3^{-4} = 3^7 \times \frac{1}{3^4}\)

Answer:

x < 2

Step-by-step explanation:

8x -1 < 15

8x -1 (+ 1) < 15 (+ 1)

8x < 16

\(\frac{8x}{8} < \frac{16}{8}\)

x < 2

Prompt neutron lifetime refers to the average time between the moment a neutron is produced in a fission reaction and the moment it causes another fission event. The prompt neutron lifetime of an infinite critical thermal reactor can be calculated by using the following equation:

τp = (βeff − 1)/λ (in seconds)

where βeff is the effective delayed neutron fraction, and λ is the decay constant of the neutron population.

1. βeff = βU235 + βD2O = 0.0065 + 0.00024 = 0.00674

τp = (βeff − 1)/λ = (0.00674 − 1)/0.08 = -12.825 s (which is negative, indicating an unstable reactor).

2. βeff = βU235 + βBe = 0.0065 + 0 = 0.0065

τp = (βeff − 1)/λ = (0.0065 − 1)/0.08 = -12.125 s (which is also negative)

3.  none of these mixtures would produce a stable reactor.

The effective delayed neutron fraction βeff can be calculated as the sum of the delayed neutron fractions for all delayed neutron precursors:

βeff = Σjβj

Where βj is the delayed neutron fraction for the jth precursor, and Σj is the sum over all delayed neutron precursors. Now let's compute the prompt neutron lifetime for an infinite critical thermal reactor consisting of a homogeneous mixture of U235 and the following materials:

1. D20

The delayed neutron fraction βj for deuterium oxide (D2O) is 0.00024, and the decay constant λ for a thermal reactor is approximately 0.08 s-1.

Therefore,

βeff = βU235 + βD2O = 0.0065 + 0.00024 = 0.00674

τp = (βeff − 1)/λ = (0.00674 − 1)/0.08 = -12.825 s (which is negative, indicating an unstable reactor)

2. BeThe delayed neutron fraction βj for beryllium (Be) is negligible, so we can assume that βBe ≈ 0.

Therefore,

βeff = βU235 + βBe = 0.0065 + 0 = 0.0065

τp = (βeff − 1)/λ = (0.0065 − 1)/0.08 = -12.125 s (which is also negative)

3. Graphite

The delayed neutron fraction βj for graphite is approximately 0.0006, so

βeff = βU235 + βgraphite = 0.0065 + 0.0006 = 0.0071τp = (βeff − 1)/λ = (0.0071 − 1)/0.08 = -10.125 s (which is still negative)

Therefore, none of these mixtures would produce a stable reactor.

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There are 472 more buttons bought by Vance than beads.

For the stated question table is made.

So,

Total number of beads bought by Vance = Number of beads(2 packages of large beads) + Number of beads(1 package of medium beads).

= (2 × 96) + (1 × 64)

= 2 × (90 + 6) + 64

= (2 × 90) + (2 × 6) + 64

= 180 + 12 + 64

= 256 beads

Now,

Total number of buttons bought by Vance = Total number of buttons (2 packages of large buttons) + Number of buttons (2 packages of medium buttons)

= (2 × 56) + (2 × 38)

= 2 × (50 + 6) + 2 × (30 + 8)

= (2 × 50) + (2 × 6) + (2 × 30) + (2 × 8)

= 100 + 12 + 600 + 16

= 728 buttons

Thus,

Difference for the number of buttons and beads

= 728 – 256

= 472 beads

So,

Therefore, there are 472 more buttons bought by Vance than beads.

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Answer: 45 (depends on what the rightmost angle is)

Step-by-step explanation:

All angles of a triangle add up to 180 degrees.

Two angle measures are provided, 100 and 35 (?)

Add up the two to get 135, and subtract from 180

180 - 135 = 45 degrees.

I might be seeing the rightmost angle measure wrong but I think it's 35, if it's not you can still apply the same strategy, just add the two given angles and subtract that from 180 to find x.

Answer:

2/4

Step-by-step explanation:

Without specific information about the data set, it is not possible to determine which equation is the best fit.

To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.

However, I can provide a general explanation of the four options:

y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.

y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.

y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.

y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.

Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.

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Answer:

I think it will be 16.7 percent, but if I am wrong I am very sorry.

The result of the division of dividend 3 1/6 by divisor 1 3/8 is computed as 76/33.

For the stated question;

The dividend is  3 1/6, which is given in mixed fraction.

In proper fraction; 3 1/6 = 19/6.

The divisor is  1 3/8 = 11/8.

Thus,

= 19/6 / 11/8

= 19*8 / 6*11

= 76/33

Thus, the result of the division of dividend 3 1/6 by divisor 1 3/8 is computed as 76/33.

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Step-by-step explanation:

The spherical and Cartesian coordinates are related by the equations,

x = ρ sin(φ) cos(θ)

y = ρ sin(φ) sin(θ)

z = ρ cos(φ)

Here, x, y and z represent the coordinates of the center of the sphere on x, y and z axes respectively.

Now, multiply the given surface equation by ρ.

ρ² = ρsin(θ) sin(φ)

We have, ρ² = x² + y² + z².

Substitute this value in above equation and also replace the RHS by y coordinate.

x² + y² + z² = y

Now, simplify the above equation.

x² + y² - y + z² = 0

x² + y² - 2y½ + (1/2)² + z² = (1/2)²

x² + (y - 1/2)² + z² = (1/2)² ...(1)

The general form of equation of sphere is,

(x - a)² + (y - b)² + (z - c)² = r²

Here, a, b, c are the coordinates of the center of the sphere on x, y, z axes respectively and r is the radius of the sphere.

Compare equation (1) with the general form of equation of sphere. Therefore we get,

Therefore, the radius of the sphere is 1/2 and center of sphere is at (0, 1/2, 0).

Thus, The given equation represents - a sphere of radius 1/2 centers at (0, 1/2, 0).

Answer:

1. polynomial has 5 terms

When it comes to data measurement, the scales used can have a significant impact on the way data is analyzed and interpreted. The main difference between data measured on a ratio scale and data measured on an interval scale is the presence of a true zero point.

Data measured on a ratio scale has a true zero point, which means that a value of zero represents the complete absence of the characteristic being measured. This allows for meaningful ratios to be calculated, such as one value being twice as much as another. Examples of data measured on a ratio scale include weight, height, and income.

On the other hand, data measured on an interval scale does not have a true zero point. A value of zero does not represent the absence of the characteristic being measured, but rather a point on the scale. This makes it impossible to calculate meaningful ratios, as there is no true point of reference. Examples of data measured on an interval scale include temperature and IQ scores.

In summary, the main difference between data measured on a ratio scale and data measured on an interval scale is the presence or absence of a true zero point, which affects the types of calculations that can be done with the data.

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Answer:

5:00 pm

Step-by-step explanation: