what is the 4th term/number of (a+b)^9, pascal’s triangle?

The remainder when x³ - 1 is divided by (x + 3) is  -28

The functions are given as

x 3 1 is divided by x 3

Rewrite them as

f(x) = x³ - 1 is divided by (x + 3)

Set the divisor to 0

So, we have

x + 3 = 0

Determine the value of x

This gives

x = -3

By the remainder theorem

Substitute x = -3 in the function f(x)

So, we have

f(-3) = (-3)³ - 1

Evaluate the expression

f(-3) = -28

By the remainder theorem, this represents the remainder

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Answer:

18

Step-by-step explanation:

Can you please help me with a question? language arts related?

Answer:

Step-by-step explanation:

Yes it is a quadratic equation

5x^2 + 40x = -7

5x^2 + 40x + 7 = 0

a = 5

b = 40

c = 7

-40/10 + (sqrt(1600 - 4(5)(7)))/10

-4 + (sqrt(1600-160))/10

-4 + (sqrt(1440))/10

-4 + 12(sqrt(10))/10

-4 + 6/5(sqrt(10))

Answer: B. statistic

Step-by-step explanation: A characteristic, usually a numerical value, which describes a sample, is called a statistic.

Answer:

x= 50

Step-by-step explanation:

The unknown angle is also x since we have an isosceles triangle and the bases angle are the same

The sum of the angles of a triangle are 180 degrees

x+x+80 =180

2x+80 = 180

Subtract 80 from each side

2x= 180-80

2x= 100

Divide by 2

2x/2 =100/2

x= 50

Answer:

\(x=50\)°

Step-by-step explanation:

This is an isosceles triangle since 2 of it's sides are the same length. That means the missing angles are the same. Since a triangles' interior angles add up to 180°, we get:

(180°-80°)÷2=x°

100°÷2=x°

50°=x°

x°=50°

Answer:

Plot at (8,2)

Step-by-step explanation:

Answer:

Equations are

20c + 10m = 495..............(1)

8c + 1m = 178.5.................(2)

Now ,  equation (2) * 10 = 80c + 10m = 1785...........(3)

So, Eq. (3) -  Eq(1) =

80c + 10m - 20c - 10m = 1785 - 495

60c = 1290

c= 21.5

********************************************************

Now place the value of c in Eq (2)

So , m =6.5

Mark my answer as brainlist answer

Step-by-step explanation:

Answer:

y = x +1

Step-by-step explanation:

y= mx + b

where m is the slope and b is the y-intercept

m = (y2-y1)/ (x2-x1) = 2+4 / 3+3 = 6/6 = 1

from the point -slope equation we have

y-y1 = m* (x-x1)

y-3 = 1* ( x-2)

y= x -2+3

y= x +1

so the slope m=1 and the y-intercept b=1

Answer:

n > 3

Step-by-step explanation:

2n - 5 > 1

Add 5 on both sides

2n > 6

Divide by two on both sides to isolate n

n > 3

Answer:

A.

Step-by-step explanation:

For square one, the dark part added up= 1/4 of the whole big square.

For square 2. the colored in part= 1/4 of the whole big square.

For square 3. The colored part = 1/4 of the whole big square.

Keep in mind that EACH OF THE SEGMENTS THAT INTERSECT THE SIDES OF THE SQUARES INTERSECT AT MIDPOINTS OF THE SIDES.

For number three, make sure to draw in what square two looks like. one line vertical, one horizontal.

THE ANSWER IS A THOUGH.

Answer: 14.25 or 14 1/4

Step-by-step explanation:

15 3/4 = 15.75

1 1/2 = 1.5

15.75 - 1.5 = 14.25

14.25 = 14 1/4

=============================================

Explanation:

Focus on triangle OCT. We can see that the triangle is isosceles because OT = OC are two radii of the same circle. That consequently means angles T and C are the congruent base angles (rotate the triangle to see what I mean). The base angles are opposite the congruent sides.

Since base angle C is 35 degrees, that makes base angle T this measure as well.

-----------

We just found angle CTO is 35 degrees. Angle PTO is supplementary to this, so it is 180-35 = 145 degrees.

Now focus solely on quadrilateral PTOQ. The goal is to find angle O, aka angle QOT. We found angle T in the paragraph above and it's 145 degrees. Angle Q is 90 degrees assuming segment PR is tangent to the circle at point Q.

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

Recall that for any quadrilateral, the interior angles always add to 360

let x be the measure of angle O, aka angle QOT

P+T+O+Q = 360

60+145+x+90 = 360

x+295 = 360

x = 360-295

x = 65

Therefore, angle QOT is 65 degrees

Answer: sorry I didn't answer your question but i really need the points for my quiz

Step-by-step explanation: you see its not cool when someone else does it

Answer:

b is the correct geometry because there is vertices and coordinates

The estimated area of Alberta in square miles is equal to 278,250 mi².

In Mathematics, the area of a complex geometric shape can be calculated by decomposing geometric shape into two (2) or more polygons whose areas can then be easily determined.

By critically observing the image of the given complex geometric shape representing the area of Alberta (see attachment), we can logically deduce that it can be decomposed into two (2) polygons as follows:

Mathematically, the area of a trapezoid can be calculated by using this formula:

A = ½ × (a + b) × h

Where:

Mathematically, the area of a rectangle can be calculated by using this formula:

A = LW    

Where:

Therefore, the area of Alberta is given by the areas of both the trapezoid and rectangle;

Area of Alberta = LW + ½ × (a + b) × h

Area of Alberta = (180 × 760) + ½ × (760 + 470) × (410 - 180)

Area of Alberta = 136,800 + 141,450

Area of Alberta = 278,250 mi².

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Answer:

  (25 -5√7)/3 ≈ 3.924 inches

Step-by-step explanation:

After removing squares from the corners and folding up the sides, the open-top box will have dimensions ...

  x × (20 -2x) × (30 -2x)

The maximum value for this cubic expression in the domain 0 < x < 10 is found easily by a graphing calculator to be at x = 3.924 inches.

__

You can solve this by expanding the cubic and finding the solution that makes its derivative equal to 0.

  V(x) = 4x^3 -100x^2 +600x

The derivative is ...

  V'(x) = 12x^2 -200x +600 = 0

Dividing by 12, we have ...

  x^2 -50/3x +50 = 0

Completing the square, we get the form ...

  (x -25/3)^2 = -50 +(25/3)^2 = (-450 +625)/9 = 175/9

Taking the square root gives ...

  x -25/3 = ±(5√7)/3

The solution in the desired range is ...

  x = (25 -5√7)/3 ≈ 3.924 . . . inches

_____

Additional comment

We limit the value of x to half the width of the cardboard material, as any longer cuts would overlap to create a negative box dimension. The graph shows the maximum volume to be about 1056.3 cubic inches. Box dimensions would be 3.924 in deep by 12.153 in by 22.153 in.

__

The generic solution can be found using a similar procedure. For cardboard dimensions a×b, it will be ...

x = ((a +b) -√((a -b)² +ab))/6

To find the selling price that will yield the maximum profit, we need to find the vertex of the quadratic function given by the profit equation y = -5x² + 286x - 2275.The x-coordinate of the vertex can be found using the formula:

x = -b/2a

where a = -5 and b = 286.

x = -b/2a

x = -286/(2(-5))

x = 28.6

So, the selling price that will yield the maximum profit is $28.60 (rounded to the nearest cent).

Therefore, the widgets should be sold for $28.60 to maximize the company's profit.

Hope I helped ya...

Answer:

29 cents

Step-by-step explanation:

The amount of profit, y, made by the company selling widgets, is related to the selling price of each widget, x, by the given equation:

\(y=-5x^2+286x-2275\)

The maximum profit is the y-value of the vertex of the given quadratic equation. Therefore, to find the price of the widgets that maximises profit, we need to find the x-value of the vertex.

The formula to find the x-value of the vertex of a quadratic equation in the form y = ax² + bx + c is:

\(\boxed{x_{\sf vertex}=\dfrac{-b}{2a}}\)

For the given equation, a = -5 and b = 286.

Substitute these into the formula:

\(\implies x_{\sf vertex}=\dfrac{-286}{2(-5)}\)

\(\implies x_{\sf vertex}=\dfrac{-286}{-10}\)

\(\implies x_{\sf vertex}=\dfrac{286}{10}\)

\(\implies x_{\sf vertex}=28.6\)

Assuming the value of x is in cents, the widget should be sold for 29 cents (to the nearest cent) to maximise profit.

Note: The question does not stipulate if the value of x is in cents or dollars. If the value of x is in dollars, the price of the widget should be $28.60 to the nearest cent.

Answer:

yes

Step-by-step explanation:

Answer:its c

Step-by-step explanation:

i took the test

A basic feasible solution to a linear program refers to a solution that satisfies all the constraints of the problem and lies on one of the extreme points of the feasible region.

To describe all descent directions from this point, we need to consider the gradient of the objective function. A descent direction is any direction along which the objective function decreases. Mathematically, the descent directions can be obtained by considering the null space of the constraint matrix.

The null space of the constraint matrix represents all the directions in which the constraints are satisfied. In other words, any linear combination of the vectors in the null space would not violate any of the constraints. Therefore, these vectors represent feasible descent directions.

However, not all descent directions are feasible descent directions. A feasible descent direction is one that not only decreases the objective function, but also satisfies all the constraints. The feasible descent directions can be obtained by intersecting the null space with the feasible region.

The simplex method, which is commonly used to solve linear programs, does not always move in a descent direction. In some cases, the simplex method may move in a direction that increases the objective function temporarily before eventually finding a better solution. This is because the simplex method explores different vertices of the feasible region in search of the optimal solution.

The descent directions from a basic feasible solution can be obtained by considering the null space of the constraint matrix. Feasible descent directions are those that not only decrease the objective function but also satisfy all the constraints. The simplex method does not always move in a descent direction as it may explore different vertices in search of the optimal solution.

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The words that correctly match these definitions are X-coordinate, Y-coordinate, coordinate plane, quadrant, X-axes, Y-axes, ordered pair, and origin.

All the concepts presented are related to coordinate planes, which are used to visually represent lines, points, etc. by considering a vertical (y-position) and a horizontal position (x-position).

These are numbers that tell you how to move on an axis, this includes the x and y coordinates.

This refers to one out of the four sections a coordinate plane is usually divided into.

A plane that results from the intersection of a y and x-axis.

This describes a horizontal (x) or vertical (y) line that intersect to form a coordinate plane.

Two numbers, one from each axis that describe a specific location in the plane.

This refers to the position 0,0 in a coordinate plane.

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Answer:

A and B

Step-by-step explanation:

x < 100 means x is less than 100. Therefore, pick any x-values that are less than 100 which are x = 54 and x = 89.

Hence, A and B are the answer.

The probability of selecting exactly 4 red balls from an urn with 20 red balls and 30 green balls is given by the formula P(X=4) = (20C4)(30C6) / (50C10) where X is the number of red balls chosen. This simplifies to P(X=4) = 0.2032.

Examining the figure, length of arc AGC is

26°

Angle AGC is solved using the formula below

Angle AGC = 1/2 (arc ABC - arc DEF)

Solving for  the length of the arcs, using the given ratio

assuming arc DEF = x, we have that

3x + x + 157 + 99 = 360

4x = 360 - 99 - 157

4x = 104

x = 26

thus, arc DEF = 26 and  arc ABC = 3 * 26 = 78

Angle AGC = 1/2 (78 - 26)

Angle AGC = 26

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Avery interpreting the Probability is wrong because 0.40 represents probability in the long run over many visits to the site

Probability: The chance that a given event will occur. The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes

given that the probability that a randomly selected visitor to a certain website will be asked to participate in an online survey is 0. 40

Avery claims that for the next 5 visitors to the site, 2 will be asked to participate in the survey

Avery interpreting the Probability is wrong because 0.40 represents probability in the long run over many visits to the site

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Answer:

Because 0.40 represents likelihood over many visits to the site in the long term, Avery's interpretation of the probability is incorrect.

Step-by-step explanation:

What does the term probability mean?

Probability: The likelihood that a specific occurrence will take place. the proportion between the total number of conceivable outcomes and the number of outcomes in a comprehensive collection of equally likely outcomes that result in a specific event

Given that there is a 0. 40 percent chance that a randomly chosen website visitor will be requested to take an online survey

Avery asserts that of the following 5 site visits, 2 will be required to complete the survey.

Because 0.40 represents chance over the long term and several visits to the site, Avery's interpretation of the probability is incorrect.

Answer:

Step-by-step explanation:Here's li\(^{}\)nk to the ansly/3fcEdSxwer:

bit.\(^{}\)

Answer:

3

Step-by-step explanation:

Terms are separated by symbols for operations (like plus, minus, multiply, divide.)

So your terms would be

8y

+z

-6

We will solve as follows:

Answer:

A. -1/3 is the answer for this question

Answer:

m=-1/3 so the answer is A.

Step-by-step explanation:

Step One: Identify two points on the line.

Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

Step Three: Use the slope equation to calculate slope.

m=4-(-1)/-12-3

m=-1/3

Hope this helped!!!