(x - y)(x2 + xy + y2)

Answer:

4x+9y-36=0

Step-by-step explanation:

Use the slope-intercept form  

y

=

m

x

+

b

 to find the slope  

m

and y-intercept  

b

.

Slope:  

−

4

9

y-intercept:  

(

0

,

4

)

Answer:

There are 4 of each card, so there are 2 red and 2 black of each card. This means

we have 2 red kings in the deck, and 2 black 7’s in the deck.

( ) =

2

52

*Even with a red king drawn first, there will still be 2 black 7’s in the deck, but only 51

cards remaining.

( ) =

2

51

( ℎ 7) =

2

52 ∙

2

51 =

4

2652 =

1

663 = .0015 .15%

Step-by-step explanation: Hope I helped.

Answer:

16 cards

Step-by-step explanation:

13 card are clubs, and of those 13 clubs, one is a queen. Then add all the other 3 queens from the deck, and voila! 16 cards!

Happy Halloween!~

Answer:

F is -5, 4

G is 0, 1

H is 0, 4

I hope this is right and if it is not then I'm sorry.

The answers to the question are all attached given that they are all drawings. The subject here is shapes, lines, and angles.

A triangle around a point is a triangle that is constructed such that a point is equidistant from all the angles and all the sides that triangle. This point is thus referred to as the circumcenter of the triangle.

The triangle in the attached image is drawn around point D.

A Line segment is the part of a line with two endpoints. The box in the diagram is drawn between points A and B.

When you put a circle around an angle, you have circled that angle. This most case is used to highlight an angle.

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Step-by-step explanation:

a) 11*5=55

15*5=75

8*5+5=45

b) No, because (55+75+45=175°) and the perimeter of a triangle is 180°

Answer:

63 students

Step-by-step explanation:

84*75%=63

Answer:

$1,025

Step-by-step explanation:

(205000)(.015)/3  =  1025

James will receive or earn $1,025

Answer:

Explanation:

The question we have to ask ourselves is "how many smaller cubes fit into the larger cube?".

The answer is found by dividing the volume of the larger cube by the volume of the smaller cube.

Now the volume of a cube is given by

where a = side length of the cube.

Now in the case of our smaller cubes, their side length is a = 1/2 in; therefore, the volume of one cube is

Now the side length of the larger cube is 4 in; therefore, its volume is

Now, how many smaller cubes fit into the larger cube?

To find the answer we see how many smaller cubes make the volume of the larger cube.

The answer is found by dividing the volume of the larger cube by the volume of the smaller cube.

Hence, Claire needs smaller 512 cubes to build the larger cube.

Answer:

La planta de la que ha salido el ascensor es: -1(planta del sótano)

Datos:

Subió 8 pisos

Piso final= 7

Explicación:

Para resolver el enunciado, se debe tener en cuenta que:

Piso final - Piso inicial= 8

Reemplazando y despejando:

7-Piso inicial= 8

Piso inicial= 7-8

Piso inicial= -1

Por lo tanto, ha salido de la planta del sótano

Verificando:

Piso inicial +8= piso final

-1+8= Piso final

7= piso final

Profundiza en matemáticas en brainly.lat/tarea/10834640

Step-by-step explanation:

Answer:

el sótano será -1 le sumamos los pisos que ha subido que son +8 y da 7

Answer:

2

Step-by-step explanation:

Answer:

See below for an explanation

Step-by-step explanation:

The function \(f(x)=\sin(x)\) oscillates between -1 and 1 as it should with equal periods of 2π, but \(f(x)=\sin(\sqrt{x})\) has increasingly longer periods of oscillations because of the exponent for x being small (recall that \(\sqrt{x}=x^{\frac{1}{2}}\)). If the exponent were to increase, the frequency of these oscillations increase substantially.

I hope this explanation helps!

Check the picture below.

I usually like to see sine and cosine as a distance of a "dark light" over the circle as you see there in the picture, so if the flashlight moves up, the vertical shadow(sine) becomes larger and the horizontal shadow(cosine) becomes smaller, and the same happens on all four Quadrants as the flashlight moves over the arc.

If we look at the value tables there, let's notice, whilst "x" is less than 10 is all honky dory all positive for sine, we hit x = 10 and kaboom it turns negative, thus the drop you see in the sinusoid curve above at x =  10 or close, not exactly but very close.

well, by the time x = 9.5, its root becomes about 3.08 radians and sine of that is still positive, recall, π is about 3.1416 radians, and below π radians, the vertical shadow drops to the III and IV Quadrants, thus negative, so if we square say 3.1416², which is about 9.87, so when "x" is about 9.87, its root will turn to close to 3.1416 radians and sine of that will run to the negative, having the drop you see above, then it goes back up and then back down like any sinusoidal curve as the values of the angle iterate over the Quadrants.

9514 1404 393

Answer:

  (x, y) = (-7, 5)

Step-by-step explanation:

I find a graphing calculator to be useful for solving equations by graphing. The graph shows the solution to be ...

  (x, y) = (-7, 5)

__

In these equations, the y-coefficients are the same, so we can eliminate y by subtracting the first equation from the second.

  (4x -6y) -(-2x -6y) = (-58) -(-16)

  6x = -42 . . . . . . . . . simplify

  x = -7 . . . . . . . . divide by 6

Substituting into the first equation gives ...

  -2(-7) -6y = -16

  6y = 30 . . . . . . . . . . add 16+6y to both sides

  y = 5 . . . . . . . . .divide by 6

The solution is (x, y) = (-7, 5).

Justin rode his bicycle in a day = 2.4 miles

Justin ride altogether during the 20-days = ?

? = 2.4 × 20

? = 48

Therefore, Justin ride altogether during the 20-days stretch is 48 miles.

The revenue equation is given by:

R = –360p^2 + 28,800p

To find the maximum revenue that can be expected, we need to find the vertex of the parabola represented by this equation. The vertex of a parabola is given by the formula:

Vertex = (-b/2a, f(-b/2a))

where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0.

In this case, a = -360 and b = 28,800.

The x-coordinate of the vertex is given by:

x = -b/2a = -28,800/(2*(-360)) = 40

Substituting x = 40 into the revenue equation gives:

R = –360(40)^2 + 28,800(40) = 576,000

Therefore, the maximum revenue that can be expected is $576,000.

Again let me know what other ones you need help with

Answer:

2

Step-by-step explanation:

Write that down before Katie deletes it. There is no work to show, only read the graph.

For the time period of  the projectile at least 192 feet above the ground is between 2 second and 6 second

Since s=128t-16t2, we want to know the 2 times where 128t-16t2=192, as those two values will be the begin and end times of the interval in question. We can rewrite that equation in standard quadratic equation form:

16t2-128t+192=0 or, simplified, 8t2-64t+96=0

or t2-8t+12=0

since it is now in quadratic form, we can solve using the quadratic formula:

t = 2 and 6

So the time period from approximately 2 second and 6 second has the projectile above 192 feet.

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Answer:

G

Step-by-step explanation:

Try to understand what this equation is saying and what plugging in different values would represent.

At x=0, b(0)=850; which means the initial balance is $850. So H is incorrect.

At x=1, b(1)=871.25; which means that after 1 year, the initial balance will have increase to $871.25. So J is incorrect.

Since the initial vacation of 850 is being multiplied by a factor which is greater than one, the balance will be increased each year. So F is incorrect.

Finally, if we look at the factor by which we are multiplying, do a simple Algebraic step, and convert it into percentages we get:

1.025 = (1 + 0.025) = 100% + 2.5%

Essentially this is showing us that the balance will increase by 2.5% on however much is in the account each year.

So G is your answer.

The length of the short leg will be 10.4. And the length of the hypotenuse will be 20.8.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The length of the longer leg of a 30-60-90 triangle is 18.

Then the length of the short leg will be

tan 30° = x / 18

          x = 10.4

Then the length of the hypotenuse will be

sin 30° = 10.4 / h

        h = 20.8

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Answer:

please mark me brainliest

Answer:

A. Using the lens equation, 1/p + 1/q = 1/f, and substituting f = 5 cm and q = 7 cm, we can solve for p:

1/p + 1/7 = 1/5

Multiplying both sides by 35p, we get:

35 + 5p = 7p

Simplifying and rearranging, we get:

2p = 35

Therefore, the distance from the lens to the object, p, is:

p = 35/2 cm

B. Solving the lens equation, 1/p + 1/q = 1/f, for q, we get:

1/q = 1/f - 1/p

Substituting f = 5 cm, we get:

1/q = 1/5 - 1/p

Multiplying both sides by 5qp, we get:

5p = qp - 5q

Simplifying and rearranging, we get:

q = 5p / (p - 5)

Therefore, the expression that gives q as a function of p is:

q = 5p / (p - 5)

C. Here is a sketch of the graph of q(p):

The graph is a hyperbola with vertical asymptote at p = 5 and horizontal asymptote at q = 5. The image distance q is positive for object distances p greater than 5, which corresponds to a real image. The image distance q is negative for object distances p less than 5, which corresponds to a virtual image.

D. Taking the limit of q as p approaches infinity, we get:

lim q(p) = 5

This represents the horizontal asymptote of the graph. As the object distance becomes very large, the image distance approaches the focal length of the lens, which is 5 cm.

Taking the limit of q as p approaches 5 from the positive side, we get:

lim q(p) = -infinity

This represents the vertical asymptote of the graph. As the object distance approaches the focal length of the lens, the image distance becomes infinitely large, indicating that the lens is no longer able to form a real image.

In order for the lens to form a real image, the object distance p must be greater than the focal length f. When the object distance is less than the focal length, the lens forms a virtual image.

Answer:

\(n=2\frac{1}{3}\)

Step-by-step explanation:

Im assuming you mean

\(11-2n=4-5n\)

Solve

\(11-2n=4-5n\)

add \(5n\) to both sides

\(11+3n=4\)

subtract \(11\) from both sides

\(3n=-7\)

divide both sides by 3

\(n=2\frac{1}{3}\)

Answer:

9.87

Step-by-step explanation:

please give me the crown at the bottom right

We can label the point (75, 50) as the optimal solution for the banquet, as it represents the maximum number of guests that can be invited while staying within the constraints.

What is banquet?

A banquet is a large formal meal that usually involves multiple courses and is served to a group of people on special occasions such as weddings, awards ceremonies, or fundraising events. Banquets often include speeches, presentations, and entertainment, and are typically held in a large venue such as a hotel ballroom, banquet hall, or conference center. Banquets can be hosted for a variety of purposes, such as to honor a special guest, celebrate an achievement, or raise money for a charitable cause.

To create a graph showing the solution region of the system of inequalities representing the constraints of the situation, we can use custom relationships to define the variables and constraints.

Let's define the variables:

Let x be the number of adult guests.

Let y be the number of student guests.

Now, let's write the system of inequalities representing the constraints of the situation:

The total number of guests cannot exceed 125: x + y ≤ 125

The cost of hosting the banquet cannot exceed $3375: 45x + 15y ≤ 3375

To graph this system of inequalities, we can plot the boundary lines of each inequality and shade the region that satisfies all the constraints.

The boundary lines of each inequality are:

x + y = 125 (the line that connects the points (0, 125) and (125, 0))

45x + 15y = 3375 (the line that connects the points (0, 225) and (75, 0))

To find the viable combinations of guests that satisfy all the constraints, we need to shade the region that is below the line x + y = 125 and to the left of the line 45x + 15y = 3375.

The resulting graph should look like this:

The point where the two lines intersect, (75, 50), represents the maximum number of adult guests (75) and the maximum number of student guests (50) that can be invited to the banquet while staying within the budget and venue capacity. Any point within the shaded region represents a viable combination of guests.

We can label the point (75, 50) as the optimal solution for the banquet, as it represents the maximum number of guests that can be invited while staying within the constraints.

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Answer:

84

Step-by-step explanation:

2+1-6+29*3

= 2+1-6+87

= 3-6+87

= -3+87

= 84

Answer:

  \(33\frac{1}{3}\)

Step-by-step explanation:

This is a straightforward evaluation of a definite integral.

  \(\displaystyle\int_1^5{x^2-x+1}\,dx=\left.\dfrac{x^3}{3}-\dfrac{x^2}{2}+x\right|_1^5=\dfrac{5^3-1^3}{3}-\dfrac{5^2-1^2}{2}+(5-1)\\\\=41\frac{1}{3}-12+4=\boxed{33\frac{1}{3}}\)

The requried solution of the given derivative has been given below.

If F(t) is an antiderivative of t⁵, then we have:

F'(t) = d/dt(F(t)) = t⁵

According to the Second Fundamental Theorem of Calculus, we have:

\(\int_1^x t^5 dt = F(x) - F(1)\)

Using this formula, we can find \(d/dx(\int_1^x t^5 dt)\) as follows:

\(d/dx(\int_1^x t^5 dt) = d/dx(F(x) - F(1)) = F'(x) - 0 = t^5\)

Therefore, \(d/dx(\int_1^x t^5 dt) = t^5.\)

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Answer:

0.3432 units^2

Step-by-step explanation:

Variable A = area

A = length × width

A = 1.32 units × 0.26 units

A = 0.3432 units^2