8x^3+12x^2-6x+9 factoring polynomials

After answering the presented question, standard deviation t Lower bound = X - \((t * (s/\sqrt(n))) = 1271.89 - (1.860 * (34.753/\sqrt(9))) = 1238.94\)

A statistic that expresses the variability or variation of a bunch of values is the standard deviation. A high standard deviation indicates that the values are more distributed, whereas a low standard deviation indicates that the numbers are closer to the set mean. The standard deviation is a measure of how far the data are from the mean (or ). When the standard deviation is small, the data tends to cluster around the mean; when it is great, the data is more spread. The standard deviation represents the average variability of the data collection. It displays the average deviation from the mean of each score.

Next, we need to find the t-value for a 90% confidence interval with 8 degrees of freedom (n-1):

t = t(0.05, 8) = 1.860

Now we can calculate the lower and upper bounds of the confidence interval:

Lower bound = X - \((t * (s/\sqrt(n))) = 1271.89 - (1.860 * (34.753/\sqrt(9))) = 1238.94\)

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Answer: Its negetive. The answer is -52d^2

Hope this helped you!

Answer:

Step-by-step explanation:

\(-12\ d^{2}+-40\ d^{2} = -12\ d^{2}-\ 40\ d^{2} = -52\ d^{2}\)

Since −52 is negative and d² is always positive for any number d

Then ,their product −52 d² is negative .

Answer:

True

Step-by-step explanation:

Vertical angles are right angle that is 90°

A supplementary angle is an angle that forms up by 2 angles with the sum of 180°.

It is true because 2 vertical angles form a supplementary angle.

Answer:

The angle between u and v is approximately 26.6 degrees.

To find the angle between two vectors, u and v, we can use the dot product formula:

u · v = ||u|| ||v|| cosθ

where u · v represents the dot product of u and v, ||u|| and ||v|| represent the magnitudes of u and v respectively, and θ represents the angle between the vectors.

Given that u = (8, -2) and v = (5, -5), we can calculate the dot product as follows:

u · v = (8 * 5) + (-2 * -5) = 40 + 10 = 50

Next, we find the magnitudes of u and v:

||u|| = √(8^2 + (-2)^2) = √(64 + 4) = √68 ≈ 8.246

||v|| = √(5^2 + (-5)^2) = √(25 + 25) = √50 ≈ 7.071

Substituting these values into the dot product formula:

50 = 8.246 * 7.071 * cosθ

Simplifying, we have:

cosθ = 50 / (8.246 * 7.071) ≈ 0.899

Taking the inverse cosine (arccos) of 0.899, we find:

θ ≈ 26.6 degrees

Therefore,To find the angle between two vectors, u and v, we can use the dot product formula:

u · v = ||u|| ||v|| cosθ

where u · v represents the dot product of u and v, ||u|| and ||v|| represent the magnitudes of u and v respectively, and θ represents the angle between the vectors.

Given that u = (8, -2) and v = (5, -5), we can calculate the dot product as follows:

u · v = (8 * 5) + (-2 * -5) = 40 + 10 = 50

Next, we find the magnitudes of u and v:

||u|| = √(8^2 + (-2)^2) = √(64 + 4) = √68 ≈ 8.246

||v|| = √(5^2 + (-5)^2) = √(25 + 25) = √50 ≈ 7.071

Substituting these values into the dot product formula:

50 = 8.246 * 7.071 * cosθ

Simplifying, we have:

cosθ = 50 / (8.246 * 7.071) ≈ 0.899

Taking the inverse cosine (arccos) of 0.899, we find:

θ ≈ 26.6 degrees

Therefore, the angle between u and v is approximately 26.6 degrees.

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Answer:

C. 1/8

Step-by-step explanation:

Probability of shooting a goal on a throw is 2/4 = 1/2.

Probability of 3 in a row is (1/2)³ = 1/8.

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8.4\% of 16.83}}{\left( \cfrac{8.4}{100} \right)16.83} ~~ \approx ~~ 1.41~\hfill \underset{ Total~for~lunch }{\stackrel{ 16.83~~ + ~~1.41 }{\approx\text{\LARGE 18.24}}}\)

Answer:

$21.75

Step-by-step explanation:

It says he spent his earnings on lunch.

All the values are,

sin π = 0

cos π = - 1

tan π = 0

sin π/2 = 1

cos π/2 = 0

tan π/2 = ∞

We have to given that;

⇒ θ = π

⇒ θ = π/2

Hence, All the values of sine, cosine and tangent of θ are,

At θ = π;

sin θ = sin π

      = 0

cos θ = cos π

         = - 1

tan θ = tan π

        = 0

At  θ = π/2;

sin θ = sin π/2

      = 1

cos θ = cos π/2

         = 0

tan θ = tan π/2

        = ∞

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Tanya swims 56 laps each month.

If Tanya swims a total of 672 laps in a year, we can find out how many laps she swims each month by dividing the total number of laps by the number of months in a year.

There are 12 months in a year, so we can divide 672 by 12 to get:

672 / 12 = 56

Therefore, Tanya swims 56 laps each month.

This assumes that Tanya swims the same number of laps every month. If she does not swim the same number of laps each month, then we would need more information to determine how many laps she swims each month.
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9514 1404 393

Answer:

  2√13

Step-by-step explanation:

The distance between the center of the circle and a point on the circle is the radius. That distance is given by the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((-5 -1)² +(6 -2)²) = √(36 +16) = √52

  d = 2√13

The radius of the circle is 2√13.

Answer:

Linear second-order differential equation F(x, y, y′, y″) = 0

y¹¹( -3 x⁴ )+ y¹12 x³ - 12 x² y= 0  

Step-by-step explanation:

Step(i):-

Given differential equation

y = c₁x + c₂x⁴  ...(i)

Differentiating equation (i) with respective to 'x', we get

y¹ = c₁(1) +  c₂ ( 4 x³ ) ...(ii)

Differentiating equation (ii) with respective to 'x', we get

y¹¹ =   c₂ ( 12 x² )

\(C_{2} = \frac{y^{11} }{12 x^{2} }\) ...(a)

Step(ii):-

Substitute (a) in equation (ii)

\(y^{l} = C_{1} + (\frac{y^{ll} }{12x^{2} } ) (4 x^{3} )\)

\(C_{1} = y^{l} - (\frac{y^{ll} }{12 x^{2} } ) (4 x^{3} )\) ...(b)

\(C_{2} = \frac{y^{11} }{12 x^{2} }\)

Step(iii):-

\(y = (y^{l} - (\frac{y^{ll} }{12 x^{2} } ) (4 x^{3} ) x + \frac{y^{ll} }{12 x^{2} } x^{4}\)

12 x² y = (y¹12 x³ - 4 x⁴ y¹¹) + x⁴ y¹¹

x⁴ y¹¹ - 4 x⁴ y¹¹ + y¹12 x³ - 12 x² y= 0

y¹¹( -3 x⁴ )+ y¹12 x³ - 12 x² y= 0

Answer:

k = \(\frac{1}{9}\)

Step-by-step explanation:

Using the discriminant

Δ = b² - 4ac

For a repeated real solution then

b² - 4ac = 0

Given

16x² - \(\frac{8}{3}\) x + k = 0

with a = 16, b = - \(\frac{8}{3}\) , c = k

(- \(\frac{8}{3}\) )² - ( 4 × 16 × k) = 0

\(\frac{64}{9}\) - 64k = 0 ( subtract \(\frac{64}{9}\) from both sides )

- 64k = - \(\frac{64}{9}\) ( divide both sides by - 64 )

k = \(\frac{1}{9}\)

Answer:

\( log_{3}( {x}^{3} + {2x}^{2})\)

Answer:

Answer:

log_{3}( {x}^{3} + {2x}^{2})log

3

(x

3

+2x

2

Theg given expression : |-5|+|3|

Since modulus is express as |-a|=a and |a|=a

The measure of the angle that turns through 3/10 of the circle is 108 degrees.

An angle is a geometric figure that is formed by two rays that share a common endpoint, which is called the vertex of the angle. The rays are referred to as the sides or legs of the angle. Angles are typically measured in degrees, with a full circle measuring 360 degrees.

Angles can be classified based on their degree of measurement: acute angles are less than 90 degrees, right angles are exactly 90 degrees, obtuse angles are greater than 90 degrees but less than 180 degrees, and straight angles are exactly 180 degrees.

Since a full circle has 360 degrees, 3/10 of the circle can be represented as:

(3/10) x 360 degrees = 108 degrees

Therefore, the measure of the angle that turns through 3/10 of the circle is 108 degrees.

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The complete question is :

The angle turns through 3/10 of the circle. What is the measure of the angle?

We can check if m=12 is a solution to the expression by replacing m with the value 12:

As the expression does not end in an identity (like 30=30, for example), m=12 is not a solution to the expression.

Answer: No, m=12 is not a solution.

G'(2,0)

G''(-2,1)

O'(1,5)

O''(-1,5)

M'(-6,5)

M''(6,5)

sorry im a year late haha

The inverse statement is false.

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Answer:

Yes, Sophia is correct

Step-by-step explanation:

The expression is correct and if you solve it, you get 23 which should be her uncle's age.

Answer:

$40

Step-by-step explanation:

Convert gallons to quarts using the following ratio:

4 quarts = 1 gallon

Since she bought 5 gallons of orange juice, multiple 5 by 4.

5 × 4 = 20 quarts

1 quart of orange juice costs $2.

20 × $2 = $40

Hope that helps.

In the question, we can draw the conclusion that, according to the formula, it will take them 10 days to get from City A to City B if they continue travelling at their current average speed of \(415 miles\)per day.

A formula is a set of mathematical signs and figures that demonstrate how to solve a problem.

Formulas for calculating the volume of \(3D\) objects and formulas for measuring the perimeter and area of \(2D\) shapes are two examples.

A formula is a fact or a rule in mathematical symbols. In most cases, an equal sign connects two or more values. If you know the value of one, you can use a formula to calculate the value of another quantity.

We need to know the average pace at which they went to figure how long it would take to get from City A to City B at the same rate.

total distance / time taken = average speed

\(415 miles\) per day \(2075/ 5\), it would take them \(10\) days to get from City A to City B because

Time taken = \(2075/415\) per days \(= 5 days\)

Therefore it will take them 10 days to get from City A to City B if they continue travelling at their current average speed of \(415 miles\)per day.

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Answer:

(a) 0.0668

(b) $638.74

Step-by-step explanation:

Let X denote the tips earned by a waiter.

It is provided that X follows a left-skewed distribution with mean, μ = $10.60 and standard deviation, σ = $6.60.

It is also provided that, the waiter usually waits on about n = 50 parties over a weekend of work.

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sum of values of X, i.e ∑X, will be approximately normally distributed.  

Then, the mean of the distribution of the sum of values of X is given by,  

 \(\mu_{S}=n\mu\\\)

And the standard deviation of the distribution of the sum of values of X is given by,  

\(\sigma_{S}=\sqrt{n}\sigma\)

As the sample size is large, i.e. n = 50 > 30, the Central Limit Theorem can be used to approximate the sampling distribution of total tips by the normal distribution.

The mean and standard deviation are:

\(\mu_{S}=50\times 10.60=530\\\\\sigma_{S}=\sqrt{50}\times 6.60=46.67\)

(a)

Compute the probability that he will earn at least $600 as follows:

\(P(S\geq 600)=P(\frac{S-\mu_{S}}{\sigma_{S}}\geq \frac{600-530}{46.67})\\\\=P(Z>1.50)\\\\=1-P(Z<1.50)\\\\=1-0.93319\\\\=0.06681\\\\\approx 0.0668\)

Thus, the probability that he will earn at least $600 is 0.0668.

(b)

Let x represents his earnings on the best 1%  of such weekends.

That is, P (X < x) = 0.99.

⇒ P (Z < z) = 0.99

The corresponding z-score is, 2.33.

Compute the value of x as follows:

\(z=\frac{S-\mu_{S}}{\sigma_{S}}\\\\2.33=\frac{x-530}{46.67}\\\\x=530+(2.33\times 46.67)\\\\x=638.7411\\\\x\approx 638.74\)

Thus, on the best 1%  of such weekends the waiter earned $638.74.

Answer:

inf > a > 13 || inf > n > 0

Step-by-step explanation:

we already know that n is positive so that means that a has to have a range starting 13 higher than n.

The polynomial with the given zeros is:;

P(x) = (300/108)*x*(x + 1)*(x - 1)*(x - 3/2)

Remember that if a polynomial has the zeros a, b, c, and d, then we can write it as:

P(x) = K*(x - a)*(x - b)*(x - c)*(x - d)

Where K is a coefficient.

Here the zeros are 0, -1, 1, 3/2

Then we can write:

P(x) =K*(x - 0)*(x + 1)*(x - 1)*(x - 3/2)

P(x) =K*x*(x + 1)*(x - 1)*(x - 3/2)

We also know that when x = -3, P(x) = 300

Then we can write:

300 = K*(-3)*(-3 + 1)*(-3 - 1)*(-3 - 3/2)

300 = K*(-3)*(-2)*(-4)*(-9/2)

300 = K*108

300/108 = K

Then the polynomial is:

P(x) = (300/108)*x*(x + 1)*(x - 1)*(x - 3/2)

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Answer:

53÷(13-8) × 2

53÷5×2

53÷10

5.6

Answer:

21.2

Step-by-step explanation:

Always must do the parenthesis first. This will give you 5 and now you must take 53 and 5 and divide them, leaving you with 10.6. Multiply that by 2 and you have 21.2.

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Answer:

Here you go! I  hope this helps

a) (6(3))+4-(3(7))

answer: 1

b) 4(7-3)2+1 =

answer: 33

c) 7^2+5(3)−6

answer: 58