What is the value of
k
when n = 64 and k = 2?
nk

Answer:

7 ([tex]y^{2}[/tex] + 6[tex]Z^{2}[/tex])

3a (x - 2y) - 4b(2y - x)

pq(p - 1) - [tex]r^{2}[/tex]( p - 1)

Step-by-step explanation:

(ii) 7y^2+35Z^2

=7(y^2+5Z^2)

(v) 3ax-6ay-8by+4bx

=x(3a+4b)-2y(3a+4b)

=(3a+4b)(x-2y)

viii)p^2q-pr^2-pq+r^2

=pq(p-1)-r^2(p-1)

=(p-1)(pq-r^2)

Answer:

Volume = 100 cm³

​Surface area of the square pyramid = 145 cm²

Step-by-step explanation:

Given:

Perpendicular height = 12cm

Square length = 5cm

Find:

Volume

​Surface area of the square pyramid

Computation:

Area of base = side²

Area of base = 5²

Area of base = 25 cm²

Volume = (1/3)(A)(h)

Volume = (1/3)(25)(12)

Volume = 100 cm³

​Surface area of the square pyramid = A + 1/2(P)(h)

Perimeter square pyramid = 4(s)

Perimeter square pyramid = 4(5)

Perimeter square pyramid = 20 cm

​Surface area of the square pyramid = 25 + 1/2(20)(12)

​Surface area of the square pyramid = 145 cm²

-9-(-7)

-9--7

-9+7

7-9

-2

---

hope it helps

Answer:

-3

Step-by-step explanation:

-4x-16=2x+2

-4x-2x= 16+2

-6x = 18

x = 18/-6 = -3

I hope im right!!

Answer:

Step-by-step explanation:

-4x-16=2x+2

-4x-16+16=2x+2+16

-4x=2x+18

-4x-2x=2x+18-2x

-6x=18

{-6x over {-6} = {18} over {-6}

simplify

x=-3

Answer:

Not enough information to give answer

Answer:

yeah not enough info to answer

Answer:

Last one

Step-by-step explanation:

Answer:Analyze the results of the correlation using the given residual plot.

Residual

Step-by-step explanation:

Answer:

12 cm^2

Step-by-step explanation:

Answer:

x = 10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 2x - 5

f(x) = 15

Step 2: Solve for x

Answer:

a

Step-by-step explanation:

f(x)=-(x+5)(x+1)=-(x²+6x+5)=-(x²+6x+9-9+5)

=-(x+3)^2+4

Range: all numbers ≤4

Answer: Slope means the gradient. So find the equation of the line first then graph the points on the graph.

Step-by-step explanation:

y=mx+c                 *We want m*

m=(y2-y1)/(x2-x1)

m=(0-1)/(6-3)

m=-1/3

y=-1/3x+2          *(0,2) co-ordinate means it's the y-intercept=c*

I think the slope is -1/3 and then just plt the points on the graph manually.

Answer:

Did u ever get the answer to this?

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the given information:

[tex]a_n = a_{n-1} + a_{n-2}; \ \ \ n \ge 2 \\ \\ a_o = 1 \\ \\ a_1 =1 \ \ \ \ \ since \ \ a_o = a_1 = 1[/tex]

A)

[tex]a_n - a_{n-1} - a_{n-2} = 0 \\ \\ \implies \sum \limits ^{\infty}_{n=2}(a_n -a_{n-1}-a_{n-2} ) x^n = 0 \\ \\ \implies \sum \limits ^{\infty}_{n=2} a_nx^n - \sum \limits ^{\infty}_{n=2} a_{n-1}x^n - \sum \limits ^{\infty}_{n=2}a_{n-2} x^n = 0 \\ \\ \implies (a(x) -a_o-a_1x) - (x(a(x) -a_o)) -x^2a(x) = 0 \\ \\ \implies a(x) (1 -x-x^2) -a_o-a_1x+a_ox = 0 \\ \\ \implies a(x)(1-x-x^2)-1-x+x=0 \\ \\ \implies a(x) (1-x-x^2) = 1[/tex]

[tex]\mathbf{Generating \ Function: a(x) = \dfrac{1}{1-x-x^2}=f(x)}[/tex]

B)

[tex]If \ \ 1 -x-x^2 = (1 - \alpha x) ( 1- \beta x) \\ \\ \implies 1 -x - ^2 = 1 + \alpha \beta x^2 - ( \alpha + \beta )x \\ \\ \text{It implies that:} \\ \\ \alpha \beta = -1 \\ \\ \alpha + \beta = 1 \\ \\ \implies \alpha = ( 1-\beta) \\ \\ ( 1- \beta) \beta = -1 \\ \\ \implies \beta - \beta^2 = -1 \implies \beta - \beta^2 -1 = 0\\ \\ \beta = \dfrac{-(-1) \pm \sqrt{(-1)^2 -4(1)(-1)}}{2(1)}[/tex]

[tex]\beta = \dfrac{1\pm \sqrt{5}}{2} \\ \\ \beta = \dfrac{1 + \sqrt{5}}{2} \ \ and \ \ \alpha = \dfrac{1 - \sqrt{5}}{2}[/tex]

C)

[tex]\dfrac{1}{1-x-x^2}= \dfrac{A}{1-\alpha x}+ \dfrac{\beta}{1-\beta x} \\ \\ = \dfrac{A(1-\beta x) + B(1-\alpha x)}{(1-\alpha x) (1 - \beta x)} \\ \\ = \dfrac{(A+B)-(A\beta+B\alpha)x}{(1-\alpha x) (1-\beta x)}[/tex]

[tex]\text{It means:} \\ \\ A+B=1 \\ \\ B = (1-A) \\ \\ A\beta+ B \alpha =0 \\ \\ A\beta ( 1 -A) \alpha = 0 \\ \\ A( \beta - \alpha ) = -\alpha \\ \\ A = \dfrac{\alpha}{\alpha - \beta } \\ \\ \\ \\ B = 1 - \dfrac{\alpha }{\alpha - \beta} \implies \dfrac{\alpha - \beta - \alpha }{\alpha - \beta } \\ \\ =\dfrac{-\beta }{\alpha - \beta} \\ \\ \mathbf{B = \dfrac{\beta }{\beta - \alpha }}[/tex]

D)

[tex]\text{The formula for} a_n: \\ \\ a(x) = \dfrac{\alpha }{\alpha - \beta }\sum \limits ^{\infty}_{n=0} \alpha ^n x^n - \dfrac{\beta}{\beta - \alpha }\sum \limits ^{\infty}_{n=0} \beta x^n \\ \\ \implies \sum \limits ^{\infty}_{n =0} \dfrac{\alpha ^{n+1}- \beta ^{n+1}}{\alpha - \beta}x^n \\ \\ a_n = \dfrac{\alpha ^{n+1}- \beta ^{n+1}}{\alpha - \beta } \\ \\ \\ a_n = \dfrac{1}{\sqrt{5}} \Big (\Big( \dfrac{\sqrt{5}+1}{2}\Big)^{n+1}- \Big ( \dfrac{1-\sqrt{5}}{2}\Big) ^{n+1}\Big)[/tex]

Answer:

"A translation of 7 units to the left followed by a translation of 1 unit down".

Step-by-step explanation:

There are multiple transformations that map one point into another, here is one example that works particularly for translations, which are the simplest (and usually the most used) transformations.

Suppose that we have the point (a, b) which is transformed into (a', b')

Then we have a horizontal translation of (a' - a) units followed by a vertical translation of (b' - b) units.

(the order of the translations does not matter, is the same having first the vertical translation and then the horizontal one).

Here we have the point A (3, 4) transformed into (-4, 3)

Then we have a horizontal translation of ((-4) - 3) = -7 units followed by a vertical translation of (3 - 4) = -1 units.

Where a horizontal translation of -7 units is a translation of 7 units to the left, and a vertical translation of -1 unit is a translation of 1 unit down.

Then we can write this transformation as:

"A translation of 7 units to the left followed by a translation of 1 unit down".

Answer:

x = 2/3

Step-by-step explanation:

Let's unpack the equation [tex]x*2=5[/tex] from our definition of [tex]*[/tex]:

[tex]x*2=3x+2(2)-1=5[/tex] (where [tex]x\in \mathbb{Z}[/tex])

Now that we've got things defined in terms of familiar operations, we can simplify and solve for x:

[tex]3x+2(2)-1=5\\3x+4-1=5\\3x+3=5\\3x=2\\x=2/3[/tex]

Answer:

5

Step-by-step explanation:

use the distributive property

6 * 1/2 = 3

6 * 1/3 = 2

3 + 2 = 5

Hope this helped! Have a nice rest of ur day! Plz mark as brainliest!!!

-Lil G

The length of segment A'B' from the triangle A'B'C' is 6 units.

Given that, triangle A'B'C' is the image of ABC under a dilation with a scale factor of 2.

In the given triangle ABC, AB=3 units

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

2=Dimensions of the new shape/3

Dimensions of the new shape=6 units

Therefore, the length of segment A'B' from the triangle A'B'C' is 6 units.

To learn more about the scale factor visit:

https://brainly.com/question/22312172.

#SPJ1

Answer:

1/4, 3/5, 8/10

Step-by-step explanation:

3/5 is greater than 1/4

(2/4 is equal to 2.5/5---that should give you a visual picture why)  

8/10 is greater than 3/5

3/5 multipled by 2 is 6/10

so, 6/10<8/10

Answer:

1/4 then 3/5 then 8/10

Step-by-step explanation:

i did this and got a 100%

Answer:

each book costs $34

Step-by-step explanation:

assuming that all the books cost the same,

253-15=238

238/7=34

Answer: Each book cost $34.

Step-by-step explanation:

First subtract 253-15.

253-15=238.

Then divide 238/7.

238/7=34

Hope this helps :)

Answer:

Q.1 a²+10a+24

splitting the middle.

a²+6a+4a+24

=a(a+6)+4(a+6)

(a+6)(a+4)

Q.2 x²+9x+18

splitting the middle

x²+6x+3x+18

x(x+6)+3(x+6)

(x+6)(x+3)

Answer: this my graph

Step-by-step explanation:

Answer:

[tex]4x+6[/tex] units

Step-by-step explanation:

Skills needed to solve: Order of Operations, Distributive Property, Perimeter Formula, Like Terms

1) To solve this problem, you need to understand the perimeter formula, and that is:

--> [tex]P = 2(L+W)[/tex]

P = Perimeter

L = Length

W = Width

2) Based on that, we are given that:

[tex]L = x[/tex] (since the length is x)

[tex]W = x+3[/tex] (since the width is x+3)

3) After that, we substitute in the values:

[tex]P = 2(L+W)[/tex]

[tex]P = 2(x+(x+3))[/tex]

[tex]x + (x+3) = x+x+3 = 2x+3[/tex] (with like terms and addition)

so: [tex]P=2(2x+3)[/tex]

Use distributive property, which is [tex]a(b+c) = ab+ac[/tex]

get: [tex]2(2x+3) = 2(2x) + 2(3)[/tex]

[tex]2(2x) = 4x[/tex]

[tex]2(3) = 6[/tex]

So: [tex]P = 4x+6[/tex]

Hope this helps and have a nice day!! :) :]

Answer:

[tex]71a(5a^{6} - 2b^{2} )[/tex]

Step-by-step explanation:

355 a3 a4 - 142 ab2

71a( 5a^6-2b^2)

I hope im right !!

Answer:

D) 76 sq in

Step-by-step explanation:

It’s 4 triangles. A=1/2bh

1/2(8)(5)=20 (two of these)

1/2(8)(6)=24

1/2(4)(6)=12

20+20+24+12=76

Answer

Correct option is

A

68

Answer:

96 is the answer because vertically opposite angles are always equal