A shirt regularly costs $14, but is on sale for 10% off. Sales tax is 6%. What is the cost of the shirt?

Given:

In an arithmetic sequence,

[tex]a_1=2[/tex]

[tex]a_i=a_{i-1}-3[/tex]

To find:

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

Solution:

The recursive formula of an arithmetic sequence is:

[tex]a_i=a_{i-1}+d[/tex]         ...(i)

Where, d is the common difference.

We have,

[tex]a_i=a_{i-1}-3[/tex]          ...(ii)

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

[tex]d=-3[/tex]

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

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

Putting [tex]i=335,a=2,d=-3[/tex], we get

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

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

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

[tex]S_{335}=\dfrac{335}{2}(-998)[/tex]

On further simplification, we get

[tex]S_{335}=335\times (-499)[/tex]

[tex]S_{335}=-167165[/tex]

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

Answer:

60 miles per hour southeast.

Step-by-step explanation:

We are told that the car is moving southeasternly, so that answers the question right off the bat. The car is moving 120 miles per 2 hours. We need to know how much it moves in one hour though, so we must divide hours and miles by 2. We ger 60 miles per hour.

Velocity will be 60 mph southeast.

The distance that an item travels in a unit of time is referred to as its speed. It merely takes into account the size of the item and ignores its orientation. Speed is referred to as a scalar quantity in this way. When referring to velocity, however, it is said that velocity is the rate at which displacement changes. A vector quantity, that is.

Given distance traveled by car is 120 miles in 2 hours. Since speed is distance divided by time.

Speed = 60 mph

Also, there is a given direction which is southeast.

Therefore, the velocity of the car will be 60 mph southeast.

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Answerz=16

Step-by-step explanation:

Answer:

D. 60 Miles

Step-by-step explanation:

Answer:

d≈21.99

Step-by-step explanation:

Answer:

the answer is 5/6

Step-by-step explanation:

1/2 + 1/3

1 =3   +   2=1          5

        x

--       +        ---  =   ---

2       x        3 =     6

9514 1404 393

Answer:

  -5 is included in the solution set of the first, but not the second

Step-by-step explanation:

The solution to -2 ≥ 10 is x ≤ -5. The solution to -2x > 10 is x < -5. The difference is that x = -5 is included in the solution set of the first inequality, but is not included in the solution set of the second inequality.

When plotted on a number line, the former inequality has a solid dot at -5, indicating that point is included. The latter inequality has an open dot (circle) at -5, indicating that point is not included. (Both plots are shaded to the left of the dot.)

Answer:

1,0

8/15,-7/25

Step-by-step explanation:

3x - 5y = 3

5y = 3x-3

y = (3x-3)/5

y= 3x² -4x +1

or, (3x-3)/5 = 3x²-4x +1

or, 3x-3 = 15x²-20x+5

or, 15x² - 23x +8 =0

or, 15x² - (15+8)x +8 =0

or, 15x² - 15x -8x +8 = 0

or, 15x (x - 1) -8(x-1) =0

or, (x-1)(15x-8)=0

Either,

x-1=0

x = 1

when x=1,

y= 0

or,

15x-8=0

x=8/15

when x= 8/15,

y= -7/25

Answer:

BD = 4

Step-by-step explanation:

∆BAD is congruent to ∆CAD based on the AAS Congruence Theorem.

Therefore:

BD = CD

3x + 1 = 5x - 1 (substitution)

Collect like terms

3x - 5x = -1 - 1

-2x = -2

Divide both sides by -2

x = -2/-2

x = 1

✔️BD = 3x + 1

Plug in the value of x

BD = 3(1) + 1

BD = 3 + 1

BD = 4

Answer:

Step-by-step explanation:

∠ABD ≅ ∠BDE..... (given).... (1)

m∠ABD + m∠CBD = 180°... (straight line ∠'s)... (2)

From equations (1) & (2)

m∠BDE + m∠CBD = 180°....(3)

m∠BDE + m∠CDB = 180°... (straight line ∠'s)... (4)

From equations (3) & (4)

m∠BDE + m∠CBD = m∠BDE + m∠CDB

m∠CBD ≅ m∠CDB.. (Proved)

Answer:

The area of the circle is 113.097

Hope this helped!

Please give brainliest if it helped!

Answer:

i think b

Step-by-step explanation:

Answer:

a=16,-2

Step-by-step explanation:

Use the formula (b/2)^2 in order to create a new term. Solve for a by using this term to complete the square.

Answer:

8

Step-by-step explanation:

taking my points back because you answered with spam.

hmm, how many cubes are there?

length times width times height

we have 6 cubes long, 6 wide and 6 tall

6*6*6=216 cubes

each is 1 cubic feet

216 times 1=216

216 cubic feet

A is answer

Answer:

d

Step-by-step explanation:

Answer:

For The Number 6 Its A

For The Number 7 The Volume is 400

Answer:

uhhhh

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

I think that this is right.

A pentagon's lines of symmetry go thru an angle and the middle of a side. Every 72 degrees, the pentagon in split into identical halves. Same with 144 because it is basically 2 72 degree rotations.

Answer:

72

Step-by-step explanation:

The order of rotational symmetry of a regular pentagon is 5.

To find the angle of rotation we divide 360 by the number of sides

360/5=72

so the angle of rotation is 72 degrees.

Answer:

c=40.192

Step-by-step explanation:

c=2pir

c=2*pi*6.4

c=12.8pi

c=12.8*

c=40.192

Answer:

i hope this helps

Step-by-step explanation:

-10 = -8+6(w-5) (reorder)

-8+6(w-5) = -10 (add 8 to both sides)

6(w-5) = -2 (divide both sides by 6)

w-5 = -1/3 (add 5 to both sides)

w = 14/3 or 4 2/3

Answer:

112 adult and 288 children

Step-by-step explanation:

x= adult seats

y= children seats

15x + 10y = 4560

x + y = 400 --> y=400-x

so plug 400-x for y in the other equation

15x + 10(400-x)= 4560

now solve this equation

15x + 10(400-x)= 4560 --> 15x + 4000-10x= 4560 --> 15x -10x = 560 --> 5x=560 --> x = 560/5 --> x= 112

now plug in 112 for this equation (x+y=400) --> 112+y=400 --> y= 288

Answer:

3.6m

Step-by-step explanation:

Answer:

x = 16.1 in

Step-by-step explanation:

Using sin law

sin44 / x = sin98/ 23in

x = 16.1 in (nearest tenth)

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

:P

Answer:

x =20?

Step-by-step explanation:

I set them equal to each other

Answer:

it says the answer s t u v

Answer:

Step-by-step explanation:

b

Step-by-step explanation:

Multiply to remove the fraction, then set equal to

0 and solve.

Inequality Form:

b<48.59

Interval Notation:

(−∞, 48.59)

The solution of the inequality 11.3 > b /4.3 is b< 48.59 along with the number line.

Given Inequality:

11.3 > b /4.3

To solve the inequality 11.3 > b / 4.3,

Multiply both sides of the inequality by 4.3 to eliminate the fraction:

11.3 * 4.3 > (b / 4.3) * 4.3

48.59 > b

The solution to the inequality is b < 48.59.

This means that any value of b that is less than 48.59 will satisfy the inequality.

To graph the solution, indicate that b is less than 48.59 by using an open circle at 48.59 and shading the line to the left of the open circle to represent all the values that satisfy the inequality.

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Answer:

A. 1.5F

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