x2+9x+20 plz help me with it plz​

Answer: (-2,3)

Step-by-step explanation: To figure out where the missing point, D, would go, you have to figure out which side DE is congruent to and what side is missing. I saw that DE is correlates to the base of the triangle because that's the only one of that length. From there, I counted up from the center of the base, DE, to find a good place for the vertex, and made sure it was the same exact distance from DE as C is from the base of the first triangle.

Given,

To find GCF we will factor constant and variable terms individually,

First factorize 18:

Factors of 9:

Now,

Now GCF of 18,9 is 9.

GCF of

GCF of

The values of x in the interval [0, 2π] that satisfy the equation 8sin(2x) = 4 are π/12 and 5π/12.

To find the values of x that satisfy the equation 8sin(2x) = 4 in the interval [0, 2π], we can solve for x by isolating sin(2x) first and then finding the corresponding angles.

Let's solve the equation step by step:

8sin(2x) = 4

Divide both sides of the equation by 8:

sin(2x) = 4/8

sin(2x) = 1/2

To find the values of x, we need to determine the angles whose sine is 1/2. These angles occur in the first and second quadrants.

In the first quadrant, the reference angle whose sine is 1/2 is π/6.

In the second quadrant, the reference angle whose sine is 1/2 is also π/6.

However, since we're dealing with 2x, we need to consider the corresponding angles for π/6 in each quadrant.

In the first quadrant, the corresponding angle is π/6.

In the second quadrant, the corresponding angle is π - π/6 = 5π/6.

Now, let's find the values of x in the interval [0, 2π] that satisfy the equation:

For the first quadrant:

2x = π/6

x = π/12

For the second quadrant:

2x = 5π/6

x = 5π/12

Therefore, the values of x in the interval [0, 2π] that satisfy the equation 8sin(2x) = 4 are π/12 and 5π/12.

So, the comma-separated list of values is π/12, 5π/12.

Learn more about trigonometric identities click;

https://brainly.com/question/24377281

#SPJ4

Answer:

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

We can prove that the product of three consecutive positive integers is divisible by 6 using mathematical induction, without assuming that one of the integers must be divisible by 3.

Base case: Let the first positive integer be 1. Then the product of the three consecutive positive integers is 1 x 2 x 3 = 6, which is divisible by 6.

Inductive step: Assume that the product of three consecutive positive integers, n(n+1)(n+2), is divisible by 6 for some positive integer n.

We need to prove that the product of the next three consecutive positive integers, (n+1)(n+2)(n+3), is also divisible by 6.

Expanding the product, we get:

(n+1)(n+2)(n+3) = (n(n+1)(n+2)) + 3(n+1)(n+2)

By the inductive hypothesis, n(n+1)(n+2) is divisible by 6. Since 3(n+1)(n+2) is the product of two consecutive integers, it is divisible by 2. Thus, the sum of the two terms is divisible by 6 + 2 = 8.

Since 6 and 8 are relatively prime, their least common multiple is 24. Therefore, the sum of the two terms is divisible by 24. Thus, (n+1)(n+2)(n+3) is divisible by 24, which means it is also divisible by 6.

By the principle of mathematical induction, the statement is true for all positive integers.

Therefore, we have shown that the product of three consecutive positive integers is always divisible by 6, even if we do not assume that one of the integers must be divisible by 3.

You can read more about induction hypothesis at brainly.com/question/31244444

#SPJ11

Answer:

The quadrilateral formed is a trapezoid

Step-by-step explanation:

In this case, it is necessary to know what points A, B, C, and D.

If the points are equal to the following coordinate points

A (-2, 1)

B (2, 1)

C (3, -2)

D (-3, -2)

As shown in the image the answer would be a trapezoid.

________________________________

The figure cannot be a square, a rhombus or a rectangle since by definition these are:

A square has all sides of equal length and all its right angles.

A rhombus is a parallelogram that has all sides of equal length and all its angles different from right angles.

A rectangle is a parallelogram that has all its right angles.

The figure that we obtain is neither a parallelogram nor does it have all its right angles.

The most important thing to notice about a table of q-sort correlates is d. general patterns that emerge.

Q-sorting is a method of ranking items in order of preference or importance, and Q-sort correlates are used to identify relationships between the ranked items. The correlations in the table represent how strongly the items are associated with each other based on their rankings.

While the exact value of the correlations is important for statistical analysis, the most valuable information in a table of q-sort correlates is the general patterns that emerge. These patterns can help to identify groups of items that are closely related to each other, as well as those that are more distantly related.

Understanding the wording of specific items may also be important, as it can impact how the items are ranked and how they relate to each other. However, the primary focus of a table of q-sort correlates is on the relationships between the items, rather than the items themselves.

For more details about information click here:

https://brainly.com/question/13629038#
#SPJ11

Answer:

Ok

Step-by-step explanation:

Do you like ice cream?

Because I do :D

Answer:

just these two words make so much sense that i can relate to it.

Step-by-step explanation:

i can't say the pain will end but looking forward to good things really help me and others.

anyways have a good day.

:)

comment if you have depression and anxiety and understand these two words. lol

Anderson's monthly income is $7680

Let the value of Anderson's monthly income be represented by x.

Based on the information given, the equation to solve the question will be:

2/5 × x = 3072

0.4 × x = 3072

0.4x = 3072

Then, we'll find the value of x and this will be:

0.4x = 3072

x = 3072/0.4

x = 7680

Therefore, Anderson's monthly income is $7680.

Read related link on:

https://brainly.com/question/24695448

No, the presence of an effect does not necessarily imply that error variance will go away.

The presence of an effect does not necessarily imply that error variance will go away. In fact, error variance is an inherent part of any statistical model and represents the amount of variation in the response variable that is not explained by the predictor variables.

Even if a predictor variable has a significant effect on the response variable, there may still be some unexplained variation in the response that is attributable to error variance.

It is important to take into account and control for error variance in any statistical analysis, as it can affect the precision and accuracy of the estimates of the model parameters and can also influence the interpretation of the results.

One way to control for error variance is to use appropriate statistical methods, such as analysis of variance (ANOVA), regression analysis, or other modeling techniques that take into account the variability in the data.

Learn more about error variance

brainly.com/question/31592090

#SPJ11

Answer 15c3d−7c2d2

Step-by-step explanation:

Answer:

9.1

Step-by-step explanation:

To find the value of AG, we can use the Pythagorean theorem. Let's start with the given information:

Using the Pythagorean theorem, we have:

\(AC^2 = AB^2 + BC^2\)

Plugging in the values:

\(AC^2 = 7^2 + 5^2\)

\(AC^2 = 49 + 25\)

\(AC^2 = 74\)

Taking the square root of both sides to solve for \(AC\):

\(AC = \sqrt[]{(74)}\)

Now, we need to find AG. Again, we'll use the Pythagorean theorem:

\(AG^2 = AC^2 + CG^2\)

We already know that \(AC^2 = 74\) and it is given that \(CG = 3\).

Plugging in the values:

\(AG^2 = 74 + 3^2\)

\(AG^2 = 74 + 9\)

\(AG^2 = 83\)

Finally, taking the square root of both sides to solve for \(AG\):

\(AG = \sqrt[]{(83)}\)

Rounding to the nearest tenth, we get \(AG = 9.1\). Therefore, the value of \(AG\) Is 9.1.

The cost of materials for the least expensive such container is 245.31 dollars .

Suppose the width of container is x (m),

length of the base of container is 2x (m)

the base area of container is (length × width)sq. m i.e 2x² meter².

Since the volume of container is 10 m³.

the height of container = area of container/ volume of container

height of container= 10/2x² m = 5/x² m

The cost of making such container is cost of base = 2x²*10 = 20x².

cost of sides of container = (2×2x × 5/x² + 2× x × 5/x²)×6 = 180/x

The overall cost is hence the sum of the base and the sides: f(x) = 20x² + 180/x

The get the minimum,

df(x)/dx = 20×(2x - 9/x²) = 0

so 2x = 9/x^2 => 2x = 2.0800 ==> x = 1.651 m

f(x) = 245.31 dollars

To learn more about Maxima or minima, refer:

https://brainly.com/question/14378712

#SPJ4

Answer:

$6

Step-by-step explanation:

Tico’s taco truck is trying to determine the best price at which to sell tacos, the only item on the menu, to maximize profits. The taco trucks owner decided to adjust the price per taco and record data on the number of tacos sold each day with each new price. When the taco truck charges $4 for a taco, it sells an average of 60 tacos in one day. With every $1 increase in the price of a taco, the number of tacos sold per day decreases by 7.

The owner can calculate the daily revenue using the polynomial expression (-7x²+32x+240),

where x is the number of $1 increases in the taco price. In this activity, you’ll interpret and manipulate this expression and the scenario it represents.

x is number of $1 increments above the initial price of $4.  (x=0 means a price of $4, x=1 means a price of $5, etc.)

The revenue is -7x²+32x+240.  The average number of tacos sold is the revenue divided by the price.

For example, if x = 0, then the taco price is $4, the revenue is $240, and the number of tacos sold is 60.

If x = 1, then the taco price is $5, the revenue is $265, and the number of tacos sold is 53.

Each time x increases by 1, the number of tacos sold decreases by 7.

Continuing:

\(\left[\begin{array}{cccc}Value\ of\ x&Taco\ Price\ (\$)&Average\ Number\ of\ Tacos\ Sold&Daily\ Revenue\ (\$)\\0&4&60&240\\1&5&53&265\\2&6&46&276\\3&7&39&273\\4&8&32&256\\5&9&25&225\\6&10&18&180\end{array}\right]\)

The optimal price is $6.  At this price, the revenue is a maximum at $276.

Answer:

\(x = 8\frac{1}{12}\)

Step-by-step explanation:

\(\frac{17}{15} =\frac{10}{2x-2}\)

\(17 ( 2x - 2 ) = 150\)

\(34x - 34 = 150\)

\(34x = 184\)

\(x = \frac{97}{12} = 8\frac{1}{12}\)

Answer:

Step-by-step explanation:

\(\frac{17}{15}= \frac{10}{2x-2}\)

\((2x-2 )*\frac{17}{15} =\frac{10}{2x-2} *(2x-2)\)

\(\frac{34x-34}{15} = 10\)

\(15*\frac{34x-34}{15} = 10*15\)

\(34x-34=150\)

\(34x=150+34\)

\(34x=184\)

\(x=\frac{92}{17}\)

Answer:

13) x = 62

14) x = 2.5

    y = 5.88888889

Step-by-step explanation:

x = 62 because x is the alternate interior angle of 62.

37x - 19 = 29x + 1 (subtract 29x on both sides)

8x - 19 = 1 (add 19 on both sides)

8x = 20 (divide by 8)

x = 2.5

Plug 2.5 into 29x + 1 to find 9y + 25

29(2.5) + 1 = 73.5

9y + 25 = 73.5 (subtract 25 on both sides)

9y = 48.5 (divide by 9 on both sides)

y = 5.388888889

It all checks out!

HOPE THIS HELPS!

a. The standard form of the given linear programming model is as follows:

Objective function: Min Z = 8X1 + 6X2 + 0S1 + 0S2

Subject to:

2X1 + 4X2 - S1 = 8

3X1 + 2X2 - S2 = 6

X1, X2, S1, S2 ≥ 0

b. Using the linear programming simplex method to solve the standard form:

Initial tableau:

```

     BV   |   X1   X2   S1   S2   RHS

-------------------------------------

  Z   |   8     6    0    0    0

-------------------------------------

 S1   |   2     4   -1    0    8

-------------------------------------

 S2   |   3     2    0   -1    6

```

Entering variable: X1 (column with the most negative coefficient in the Z row).

Leaving variable: S1 (minimum ratio of the RHS to the coefficient in the X1 column).

Pivot operation: Divide the S1 row by 2.

```

     BV   |   X1   X2   S1   S2   RHS

-------------------------------------

  Z   |   2     6    0    0    16

-------------------------------------

  S1  |   1     2   -0.5  0    4

-------------------------------------

  S2  |   1.5   2    0.5 -1    2

```

Entering variable: X2 (column with the most negative coefficient in the Z row).

Leaving variable: S2 (minimum ratio of the RHS to the coefficient in the X2 column).

Pivot operation: Divide the S2 row by 2.

```

     BV   |   X1   X2   S1   S2   RHS

-------------------------------------

  Z   |   0     5    1    0    18

-------------------------------------

  S1  |   1     0   -1    1    2

-------------------------------------

  X2  |   0.75  1    0.25 -0.5  1

```

No more negative coefficients in the Z row. Optimal solution found.Solution: X1 = 2, X2 = 0.75, Z = 18. The optimal solution for the given linear programming model is X1 = 2, X2 = 0.75, with the minimum objective value Z = 18.

To know more about linear visit:

https://brainly.com/question/31510530

#SPJ11

Answer:

\(\large\boxed{\fcolorbox{x=10 }{}{}}\) OR \(\large\boxed{\fcolorbox{x=-10 }{}{}}\)

Let's solve the equation step-by-step:

First, you must find the square root:

x = ± \(\sqrt{100}\)

We know that 10 × 10 = 100 and -10 x -10 is 100

that means that the square root is either  10 or -10

And we also know that \(10^2\) \(-10^2\) are both 100

meaning that x = \(10^2\) OR \(-10^2\)

The probability that the diameter of a selected bearing is greater than 123 millimeters is 0.4641 (rounded to four decimal places).Hence, the correct option is A) 0.4641.

The given question is asking to find the probability that the diameter of a selected bearing is greater than 123 millimeters, when the diameters of ball bearings are distributed normally with the mean diameter of 126 millimeters and the standard deviation of 33 millimeters.

Given, Mean diameter, µ = 126 millimeters

Standard deviation, σ = 33 millimeters

We need to find the probability that the diameter of a selected bearing is greater than 123 millimeters.

Now, the given distribution is a normal distribution. Therefore, to solve the problem, we will use the z-distribution formula, which is:

z = (x - µ) / σ,

where x is the value of the variable, µ is the mean, and σ is the standard deviation.

We will substitute the given values in the above formula,

z = (x - µ) / σ=> z = (123 - 126) / 33=> z = -0.09

Using a standard normal distribution table, the probability that z is greater than -0.09 is 0.4641, which

(z > -0.09) = 0.4641

for such more question on probability

https://brainly.com/question/24756209

#SPJ11

Answer:

Step-by-step explanation:

The center of dilation is at the point of intersection of the lines through an image point and the corresponding pre-image point.

Here, A and A' are both on the line x=5. C and C' are both on the line y=2, so the center of dilation is (x, y) = (5, 2).

__

The point A' is half as far from (5, 2) as the point A is, so the scale factor of the dilation is 1/2. (A' is 3 units down; A is 6 units down from the center of dilation.)

Answer:

Step-by-step explanation:

2.10$

your answer is 2.10$

The unit tangent vector is:

T⇀(t) = u'(t) / | u'(t) | = (3t + 1)/sqrt(9t^4 + 18t^2 + 10)i^ - 6t^2/sqrt(9t^4 + 18t^2 + 10)j^ + 3/sqrt(9t^4 + 18t^2 + 10)k^

We need to find the unit tangent vector for the given vector-valued functions.

For r⇀(t)=costi^+sintj^, we have:

r'(t) = -sin(t)i^ + cos(t)j^

| r'(t) | = sqrt(sint^2 + cost^2) = 1

So, the unit tangent vector is:

T⇀(t) = r'(t) / | r'(t) | = -sin(t)i^ + cos(t)j^

For u⇀(t) = (3t^2 + 2t)i^ + (2 - 4t^3)j^ + (6t + 5)k^, we have:

u'(t) = (6t + 2)i^ - 12t^2j^ + 6k^

| u'(t) | = sqrt((6t + 2)^2 + (12t^2)^2 + 6^2) = sqrt(36t^4 + 72t^2 + 40) = 2sqrt(9t^4 + 18t^2 + 10)

So, the unit tangent vector is:

T⇀(t) = u'(t) / | u'(t) | = (3t + 1)/sqrt(9t^4 + 18t^2 + 10)i^ - 6t^2/sqrt(9t^4 + 18t^2 + 10)j^ + 3/sqrt(9t^4 + 18t^2 + 10)k^

To know more aboutunit tangent vector refer here:

https://brainly.com/question/1560823

#SPJ11

Answer:

Therefore option 2 is correct.

given:

solve:

option 1:

(x + 4)(x + 1)

x² + 4x + x + 4

x² + 5x + 4

option 2:

(4x+1) (x+1)

4x² + 4x + x + 1

4x² + 5x + 1

option 3:

4x + 5

option 4:

( 4x² + x ) (x + 1)

4x³ + 4x² + x² + x

4x³ + 5x² + x

Answer:

(4x + 1)(x + 1)

Step-by-step explanation:

The blue squares mean \(x^2\)

The red rectangles mean \(x\)

The yellow square means \(+1\)

So adding the tiles together we get:  \(4x^2+5x+1\)

Reading along the bottom = 4x + 1

Reading down the right side = x + 1

If we multiply these:

\((4x + 1)(x + 1)=4x^2+4x+x+1=4x^2+5x+1\)

which is the same as above, so correct!

Answer:

x=(2,-5.3)

Step-by-step explanation:

Hope this helps

Answer:

8%

plz mark brainliest !! :DD

$1.92/$24 = 0.08

0.08 = 8%

Answer:

8%

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

Answer:Older workers are staying in the workforce longer.

Step-by-step explanation: I had the same question as you it should be right.

Answer:

115 degrees

Step-by-step explanation:

The incenter is where the angle bisectors of a triangle meet.  So \(m\angle{PQK}=15^\circ \text{ and } m\angle{PQR}=30^\circ\).

To find the measure of angle RKQ, we need to find the measure of angle PRQ.  In the big triangle, the sum of angle measures is 180 degrees, and we know two of the angles, 50 deg and 30 deg (for a total of 80 deg).  That leave 100 degrees for the measure of angle PRQ.

But RK is an angle bisector, so \(m\angle{KRQ}=50^\circ\).

We now know two of the angles in \(\triangle{KRQ}\), 50 deg and 15 deg.  Those total 65 degrees, so \(m\angle{RKQ}=180^\circ - 65^\circ=115^\circ\)

The strategy for generating a hypothesis that does not fit among the options provided is option C) Thinking of things unilaterally.

Introspection, finding exceptions to the rule, and thinking about variables in terms of amount or degrees are all valid strategies for generating hypotheses.

Introspection involves reflecting on personal experiences, thoughts, and observations to generate hypotheses about a particular phenomenon or question.

Finding exceptions to the rule involves identifying instances that do not conform to the expected pattern or generalization, which can lead to the formulation of alternative hypotheses.

Thinking about variables in terms of amount or degrees involves considering how varying levels or quantities of a particular variable may impact the outcome or relationship being studied, which can help generate hypotheses about the nature and direction of the relationship.

On the other hand, "thinking of things unilaterally" is not a recognized strategy for generating hypotheses. The term "unilaterally" typically refers to actions or decisions made by one side or party without considering others.

Hypothesis generation involves considering multiple perspectives, factors, and possibilities, rather than approaching it unilaterally.The correct answer is option c.

Know more about  Introspection   here:

https://brainly.com/question/30784412

#SPJ11

yx^12

Step-by-step explanation:

technically it's yx with an exponent that's 12

Answer:

(-6,4)

Step-by-step explanation:

You started at (-4,2)  The first number in the ordered pair moves the number left and right and the second number moved the point up and down.

We are first told to move the point 2 units to the left.  -4 is my left right number.  If I am at -4 and I go to unites to the left, I will be at -6.  My new point is now (-6,2).  Next we are told to go up 2.  The 2 number in my ordered pair tells me that I am 2 above the x axis.  Now I am going to go two more units up.  I am now at 4, so my new ordered pair after the translation is (-6,4)

coordinates of the point (−4, 2) after a translation 2 units left and 2 units up would be (-6, 4).

What is Translation ?

"Translation" moves points the same distance along lines that are parallel to each other.

Translation involves the initial object called the pre-image and the final object called the image. As you can see in the picture above, the rust-colored item represents the pre-image, and the blue item represents the image. Because of the arrow, we can tell the direction in which the image was moved. For other images, you may receive instructions on which image is the pre-image, or you may be asked to find the pre-image from the image.

Reflection, on the other hand, moves points along a specified line in such a way that the line bisects each line segment connecting corresponding pre-image points and image points

We are asked to find the coordinates of the points (-4,2) after a translation 2 units left and 2 units up.

We know that translating a point to the left by 'a' units means we need to subtract 'a' units from x-coordinate of the point.

Translation to 2 units left:

(-4,2) → (-4-2, 2)  → (-6, 2)

We know that translating a point to upwards by 'a' units means we need to add 'a' units to y-coordinate of the point.

Translation to 2 units up:

(-6, 2) → (-6, 2+2) → (-6, 4)

Therefore, coordinates of the point (−4, 2) after a translation 2 units left and 2 units up would be (-6, 4).

Read more about Translation at:

https://brainly.com/question/17165601

#SPJ1