−x2+6zy=
x=10, y=−2, and z=−5.

Answer:

he arithmetic sequence ai is defined by the formula: a1= 2 ai= ai - 1 -3 find the sum of the first 335 terms in the sequence

Step-by-step explanation:

In an arithmetic sequence,

a_1=2a

1

=2

a_i=a_{i-1}-3a

i

=a

i−1

−3

To find:

The sum of the first 335 terms in the given sequence.

Solution:

The recursive formula of an arithmetic sequence is:

a_i=a_{i-1}+da

i

=a

i−1

+d ...(i)

Where, d is the common difference.

We have,

a_i=a_{i-1}-3a

i

=a

i−1

−3 ...(ii)

On comparing (i) and (ii), we get

d=-3d=−3

The sum of first i terms of an arithmetic sequence is:

S_i=\dfrac{i}{2}[2a+(i-1)d]S

i

=

2

i

[2a+(i−1)d]

Putting i=335,a=2,d=-3i=335,a=2,d=−3 , we get

S_{335}=\dfrac{335}{2}[2(2)+(335-1)(-3)]S

335

=

2

335

[2(2)+(335−1)(−3)]

S_{335}=\dfrac{335}{2}[4+(334)(-3)]S

335

=

2

335

[4+(334)(−3)]

S_{335}=\dfrac{335}{2}[4-1002]S

335

=

2

335

[4−1002]

S_{335}=\dfrac{335}{2}(-998)S

335

=

2

335

(−998)

On further simplification, we get

S_{335}=335\times (-499)S

335

=335×(−499)

S_{335}=-167165S

335

=−167165

Therefore, the sum of the first 335 terms in the given sequence is -167165.

Answer:

that picture ant even clear

Step-by-step explanation:

Hi ;-)

[tex]3\cdot\boxed9=9\cdot3[/tex]

Answer:

3 × 9 = 9 × 3

Step-by-step explanation:

Step-by-step explanation:

x + 4 + 3x = 72 Let's agroup all the x

4x + 4 = 72 Subtract 4 on both sides

4x = 68 Divide both sides by 4

x = 17

x + 3 + x – 8 + x = 55 Let's agroup all the x

3x + 3 – 8 = 55 Solve 3 – 8

3x – 5 = 55 Add 5 on both sides

3x = 60 divide both sides by 3

x = 20

Answer:

13

Step-by-step explanation:

2(x – 3) + 3y

Let x = 5 and y =3

2(5 – 3) + 3*3

Parentheses first

2(2) +3*3

Multiply4 + 9

Add

13

Answer:

[tex]2(x - 3) + 3y \\ x = 5 \\ y = 3 \\ then \: 2(5 - 3) + 3 \times 3 \\ = 2 \times 2 + 9 \\ = 4 + 9 \\ = 13 \\ thank \: you[/tex]

Answer: 7d

Step-by-step explanation:

Answer:

Step-by-step explanation:

The domain is

{x|x≥0}

{y|y is all real numbers}

Answer:

cos a / 4 = -1/4

--->cos a =- 1          

Answer:

$53

Step-by-step explanation:

If he spent $53 and has nothing left then that's all he must've have had right? If he had more then he would have money leftover after his purchase.

Best of Luck!

Answer:

Step-by-step explanation:

answer B

since for all real positive r,  r^x >0

The unique function who give a negative answer is f(x)=-3* 2^x

Answer:

a. ▲▲△

b. ▲▲▲▲▲▲▲▲▲△△△△△△△

c.▲▲▲▲▲▲ △△△

Answer:

A and C

Step-by-step explanation:

A

From the table the value of f(x) when x = - 1 is 6

Thus f(- 1) = 6 ← is true

B

From the table the value of f(x) when x = 5 is 12

Thus f(5) = - 2 ← is false

C

The domain is the values of x from the table ( the input values )

domain is { - 2, - 1, 0, 1, 2, 3, 4, 5, 6 } ← is true

D

The range is the values of f(x) from the table ( the output values

range is { 5, 6, 7, 8, 9, 10, 11, 12, 13 }

The range for f(x) is all real values ← is false

0

Answer: D) g(x)= 2^1/2x -2

Step-by-step explanation:

Answer:

Bạn An có 23 quả táo

Step-by-step explanation:

Vì AN lấy đi 23 quả táo nên số táo vẫn bằng như thế

Answer:

D.x = 6; m∠XOY = 18°

Step-by-step explanation:

Supplementary angles add to 180 and complementary angles add to 90

∠WOZ + ∠WOX = 180

108 + ∠WOX = 180

∠WOX + ∠XOY = 90

∠WOX + 3x = 90

∠WOX  = 90 -3x

Replace WOX in the first equation

108 + ∠WOX = 180

108 + 90 -3x = 180

Combine like terms

198 -3x = 180

Subtract 198 from each side

-3x = 180-198

-3x = -18

Divide by -3

-3x/-3 = -18/-3

x = 6

∠XOY  = 3x = 3*6 = 18

Answer:

30%=1350

45%=2025

Step-by-step explanation:

30% of 4500 = 0.30 × 4500

=1350

45% of 4500 = 0.45 × 4500

=2025

Answer:

32 dollar

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

Step-by-step explanation:

Answer:

Let M is the midpoint of DE.

Since D is at 8 and DE = 5.

DM = ME = 5/2 = 2.5

Point M is at:

Given

Since XZ = XY + YZ, set up an equation and solve for x:

The distance from your house to friend's is LN.

We have:

Set up an equation, solve for x:

Find the distance LM:

Find the distance LN:

Answer:

24.587

Step-by-step explanation:

divide the speed value by 2.237

Answer:

(√2) / 3

Step-by-step explanation:

√(2/9) =√(2/3^2) =(√2)/3

Answer:

It is

[tex]{ \underline{ \sf{ \frac{ \sqrt{2} }{3} }}}[/tex]

Step-by-step explanation:

[tex] \sqrt{ \frac{2}{9} } \\ \\ = \frac{ \sqrt{2} }{ \sqrt{9} } \\ \\ = \frac{ \sqrt{2} }{3} [/tex]

Answer:

9,700,045,306

Step-by-step explanation:

there you go!

Step-by-step explanation:

nine billion, seven hundred million, forty-five thousand, three hundred six

9,700,045,306

Answer:

MONEY ON MONDAY=36.

MONEY ON TUESDAY =36+20=56

MONEY ON WEDNESDAY =56-19=37

MONEY LEFT ON THURSDAY=37

Answer:

[tex] \frac{ {6}^{10} }{ {6}^{3} } \\ = \frac{ {6}^{3} \times {6}^{7} }{ {6}^{3} } \\ = {6}^{7} \\ thank \: you[/tex]

Answer:

The answer is [tex]466\frac{2}{3}\,g[/tex]

Step-by-step explanation:

Let,

Amount of alloy with 30% silver = x g

Given,

Amount of alloy with 10% silver = 200 g

So, Total Amount of alloy with 24% silver = (x+200) g

Now,

[tex]x*0.30+200*0.10=(x+200)*0.24\\=>0.30x+20=0.24x+48\\=>0.06x=28\\x=466\frac{2}{3}\,g=466.67\,g[/tex]

Hope you have understood this....

pls mark my answer as the brainliest

Answer:

45.6

Step-by-step explanation:

6(3.6 + 4)

6 (7.6)

= 45.6

Answer:

This is the formula u can use but the parameters are not complete

Step-by-step explanation:

b=2 A/h

Answer:

8 cm^2.

Step-by-step explanation:

Area = 1/2 * base * height

= 1/2 * 4 * 4

= 8.

Answer:

1933

there where a total number of 20 hurricanes recorded that year