Expand the following using the Binomial Theorem and Pascal’s Triangle. Show your work
2. (x-4)^4
3. (2x+3)^5
4. (2x-3y)^4

Answer:

Step-by-step explanation:

Answer:

1 and 4 and 2

Step-by-step explanation:

Answer:

x=2/5y+6/5

Step-by-step explanation

5x-2y=6

5x-2y+2y=6+2y

5x=2y+6

step 2

5x/5=2y+6/5

x=2/5y+6/5

Answer:

Can u explain it one more time their is alot of spelling errors

Answer:

x=-2.1

Step-by-step explanation:

Step-by-step explanation:

assuming A=90 degree and B =A

cos90=0 and sin90=1

Answer:

d

Step-by-step explanation:

The true statement: A The two functions have the same initial value.

A linear function has a straight line as its graph.

A linear function has the form shown below.

a + bx = y = f (x).

A linear function consists of one independent variable and one dependent variable. The independent and dependent variables are x and y, respectively.

We know that function E is a linear function with an initial value of 2 and a rate of change of 1/3. Therefore, the equation for function E can be written as:

E(x) = (1/3)x + 2

We also know that function F is a linear function that includes the points (2, 8) and (0, 2).

We can use the two points to find the slope of the line and then use the point-slope form to write the equation for function F.

The slope of F = (8 - 2) / (2 - 0) = 6/2 = 3

Using point-slope form with the point (2, 8), we get:

F(x) - 8 = 3(x - 2)

F(x) = 3x + 2

Now we can compare the two functions.

A. The initial value of function E is 2, while the initial value of function F is 2 + 3(0) = 2. Therefore, statement A is true.

B. The rate of change of function E is 1/3, while the rate of change of function F is 3. Therefore, statement B is false.

C. The initial value of function F is 2, which is the same as the initial value of function E. Therefore, statement C is false.

D. The rate of change of function E is 1/3, which is less than the rate of change of function F, which is 3. Therefore, statement D is false.

Therefore, the only true statement is A. The two functions have the same initial value.

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hi! im chimken and i have your answers!!!

1. polygon: is a closed figure where the sides are all line segments.

2. lateral face: a side of three-dimensional figure that is not a base.

3. pyramid: a solid figure that has a polygon for a base and triangles for sides. it is named for the shape of its base.

4. polyhedron: formed by two parallel, congruent, polygonal bases connected by lateral faces that are parallelograms.

5. i don't know this one :(

6. a net: a two dimensional representation of a three-dimensional figure that is unfolded along it's edges so that each face of the figure is shown in two dimensions.

7. face: is a plane figure that serves as one side of a solid figure.

8. i don't know this one :(

9. there are 4 possible answers. rectangular prism, sphere, cone, cylinder: 3D geometric shapes with the basic three-dimensional shapes.

10. triangular prism: with a known base and height of its face.

i hope this helped!!!

braise bingus!

Answer:

40

Step-by-step explanation:

5 cells x 8 days = 40 cells

your welcome.

Answer:

[tex]5^{2} (8)[/tex] = 200

Step-by-step explanation:

Answer: D. 3[tex]\sqrt[3]{20}[/tex]

Step-by-step explanation:

Answer:

think A or B  

Step-by-step explanation:

i am not  sure

es la respuesta del de abajo pero es 62 no 61 ya que marca 61,5 y se aproxima 62 sí o sí xf

9514 1404 393

Answer:

  47.71

Step-by-step explanation:

Two "special" triangles are involved.

ΔSWR is a 30°-60°-90° right triangle, so will have sides in the ratio 1 : √3 : 2.

ΔUVW is a 45°-45°-90° right triangle so will have sides in the ratio 1 : 1 : √2.

For ΔSWR, the side SW is given as 6, so the other sides are ...

  WR = 6√3

  RS = 2(6) = 12

For ΔUVW, the side WU is given as 8, so the other sides are ...

  UV = VW = 8/√2 = 4√2

Then the perimeter of the figure is ...

  P = RS +ST +TU +UV +VW +WR

  P = 12 +8 +6 +4√2 +4√2 +6√3 ≈ 47.71

Answer:

Step-by-step explanation:

Firstly, we should begin to know what leveling off is.

Leveling off- to stay the same after a period of increase

Nearing the end of the graph you can see there is no continuous increase for the rotifers. That can be explained by carrying capacity. The flask has limited space.

There is no continuous increase for the rotifers.

We have given that the scatter diagram

And we have to determine, the graph and identify some factors that may contribute to the rotifer population leveling off in the absence of water fleas

Leveling off- to stay the same after a period of increase

Nearing the end of the graph you can see there is no continuous increase for the rotifers.

That can be explained by carrying capacity.

The flask has limited space.

Therefore, there is no continuous increase for the rotifers.

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Answer:

im pretty sure is c. but not 100 percent

Answer:

x ≤ 7.5

Step-by-step explanation:

First, get x alone by multiplying both sides by 3 (to get rid of the fraction)

3 (1/3x) ≥ 3(2.5)

x ≤ 7.5

(The sign will flip whenever you multiply or divide in an inequality)

Since the sign is 'less than or equal to' you need a closed dot on 7.5, and it will be a ray pointing left, because x will be a number smaller (aka less than) than 7.5

The endpoints of the translated segment A'B' after undergoing the given translation is; A'(3, 3) and B'(5, 0)

In transformation in mathematics, there are different types such as dilation, reflection, rotation, translation e.t.c

Now, in this case what we are dealing with is translation which simply means moving an object or figure from one point to the other without changing the shape or dimensions.

To translate the point AB(x, y) , 2 units down and 2 units right, we will use the translation rule;

A'B'(x + 2, y − 2) .

We are given the coordinates of AB as A(1,5) and B(3,2)

Thus;

A'(1 + 2, 5 - 2) = A'(3, 3)

B'(3 + 2, 2 - 2) = B'(5, 0)

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The requreid, in the given diagram, we can see a circle, and it is indicated that the center of the circle is L.

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

Where h, k is the coordinate of the center of the circle on a coordinate plane and r is the radius of the circle.

Here,
In the given diagram, we can see a circle, and it is indicated that the center of the circle is L. The center of a circle is a point that is equidistant from all points on the circumference of the circle. This means that if we draw a line segment from the center to any point on the circumference of the circle, the length of that line segment will be the same as the length of the line segment from the center to any other point on the circumference.

Thus, the requreid, in the given diagram, we can see a circle, and it is indicated that the center of the circle is L.

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Answer:

8

Step-by-step explanation:

because there is nothing to subtract 8 from

Answer:

A≈837.77 since it's only one decimal place A≈837.8

Step-by-step explanation:

Formula: A = πr²

Answer:

-175 I believe

Step-by-step explanation:

Answer:

-280

Step-by-step explanation:

-105+-35= -140

-3+5= 2

-140*2= -280

Hope this helps others

Answer:

164 inches

Step-by-step explanation:

First, add 3 and 4

3+4= 7

Then divide 287 by 7

287/7= 41

Then, multiply 4 (from the ratio) by 41

4*41= 164

To get the length of the shorter piece, subtract 164 from 287

287-164= 123

Check your work:

123+164= 287

Hope this helps!

Answer:

x= -56..................

Answer:

18

Step-by-step explanation:

give brainlyest???????

Answer:

18

Step-by-step explanation:

3*9-9

3*9=27

27-9=18

Hope this helpsss :)

Answer:

13/20

Step-by-step explanation:

Find a same denominator.

17/20 - 1/5 = 17/20 - 4/20

= 13/20