The seventh term of an arithmetic series is 29 and the sum of the first seventeen terms is 629. Find the sum of the first 100 terms of the series.

Answer:

m = w - t

£108

Step-by-step explanation:

m = Money Billy has to spend per week :

m = wage, w - tax, t

Hence,

m = w - t

Given;

Wage = £150 ; tax = £42

m = £150 - £42

m = £108

Answer:

p = -29/2

Step-by-step explanation:

2p + 38 = 9

Subtract 38 from each side

2p + 38-38 = 9-38

2p = -29

divide by 2

2p/2 = -29/2

p = -29/2

Answer:

p=-14.5

Step-by-step explanation:

2p + 38 = 9

      -38    -38

2p = -29

[tex]\sqrt{2}[/tex]    [tex]\sqrt{2}[/tex]

p = -14.5

Answer:

[tex]x^4+2x^3+2x^2+2x+1[/tex]

Step-by-step explanation:

Given that,

[tex](x+1)^2 . (x^2+1) = 0[/tex]

We know that, [tex](a+b)^2=a^2+b^2+2ab[/tex]

So,

[tex](x+1)^2=x^2+1+2x[/tex]

So,

[tex](x+1)^2 . (x^2+1) = (x^2+1+2x)(x^2+1)\\\\=x^2\times x^2+x^2+2x^3+x^2+1+2x\\\\=x^4+2x^3+2x^2+2x+1[/tex]

So, the value of the given expression is equal to[tex]x^4+2x^3+2x^2+2x+1[/tex]

Answer:

3.16666667 tons

Step-by-step explanation:

hope this helps have a good evening

Answer:

[tex]{ \boxed{ \bf{formular : } \: { \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }}}} \\ \sin(60 \degree) = \frac{ \sqrt{3} }{2} \\ { \underline{ \blue{ \tt{ {beckerjnr}}}}}[/tex]

The value of expression sine of 60° is,

⇒ √3 / 2

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle is shown in image.

Now, We know that;

Sin x = Opposite / Hypotenuse

Hence, We get;

⇒ sin 60° = √3 / 2

Thus, The value of expression sine of 60° is,

⇒ √3 / 2

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ7

Answer:

they are similar

Step-by-step explanation:

1.6/1.2=1.3333

2.8/2.1=1.3333

they are similar as their ratios of the legs are equal

Answer:

here is the answer bae. Feel free to ask for more

Answer: -m3+m2

Step-by-step explanation: 2m2-[m2(7m-)]6m2

2m2-7m2-m3+6m2

-m3+m2

Answer:

5 shirts

Step-by-step explanation:

Y=12x+3 equation 1

y=8x+23 equation 2

12x+3=8x+23 substituting y value will cause equations to equal

4x=20

x=5 shirts

check answer

y=12x+3

y=12(5)+3

y=60+3

y=63

y=8x+23

y=8(5)+23

y=40+23

y=63

Answer: c

Step-by-step explanation:

In order to be parallel, the slope must be the same. This means slope is 2

Now one of the point is 5,-1, so do 2x5 + x = -1, so x = -11

meaning b is -11

so the equation should be y=2x-11

Answer:

A and D

Step-by-step explanation:

Look at the answer choices as (x,y) so if you multiply the x for the x spot and the y for the y spot, you make sure the it is greater than or equal to 3 and if it is, select that answer.

Answer:

No. of sweets = 123

No. of children = 7

then

sweets per children =123/7 =17. 57

Answer: =17.57

Step-by-step explanation:

Divide the no. of sweets by the no. of children

=123/7

=17.57

Answer:

The number which is more than 6 and less than 8 is 7.

Step-by-step explanation:

There are the natural numbers.

To find the number which is more than 6 but less than 8.

The numbers which are more than 6 are 7, 8, 9, 10, ....

The numbers which are less than 8 are ...,3, 4, 5, 6, 7

So, the number which is more than 6 and less than 8 is 7.

Answer:

Step-by-step explanation:

a:0

B:1

C:-1

Answer:

JM = 18 units

Step-by-step explanation:

∆MHN and ∆JKH are similar (by A.A.A axiom)

so, their sides are proportional

i.e.

(JM+18)/(20+15) = 18/15

or, JM + 18 = 540/15

or, JM = 36-18

hence, JM = 18

Answer:

Step-by-step explanation:

52 + 27 = angle 1 (sum of two interior opposite angle is equal to the exterior angle formed)

79 = angle 1

angle 2 + 71 = 92 degree (sum of two interior opposite angle is equal to the exterior angle formed)

angle 2 = 92 - 71

angle 2 = 21 degree

Answer:

500

Step-by-step explanation:

3000 divided by 6

Hope this helped, sorry if I'm wrong!

Answer: 384

Step-by-step explanation:

Subtract 3,000 by 696 to see how many words he has left.

3,000 - 696 = 2,304

Then divide 2,304 by 6.

2,304 ÷ 6 = 384

Your answer is 384 words each day.

Answer:

2

Step-by-step explanation:

2 is the slope, it's going up 2, and right 1 which is 2/1 or just 2

Hope this helps

Answer:

{}, {s} {q} {l} {r} {s,q} {s, l} {s, r} {q, l} {q, r} {l, r} {s, q, l} {s,l,r} {s, q, r} {q, l, r} {s, q, l, r}

Answer:

C

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

If lines m and n are equal, line t intersects both of them at the exact same angle. This means that 6x+3=7x-19. Start moving the variables to one side. 3=x-19. Then move the numbers to the other side of the equation. x=21.

Answer:

= -2/7

Step-by-step explanation:

We can use the slope formula

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

    = ( 6-14)/(13 - -15)

    = (6-14)/(13+15)

    = -8/28

   = -2/7

Answer:

(4, 0)

Step-by-step explanation:

D is clearly (1, 2).

so, for D' we have (1+3, 2-2) = (4, 0).

that's it. there is nothing more to it.

Answer:

[tex]\frac{\sqrt{5}-\sqrt{2} }{3}[/tex]

Step-by-step explanation:

[tex]\frac{1}{\sqrt{5} + \sqrt{2} }[/tex]

[tex]\frac{1}{\sqrt{5} + \sqrt{2} } * \frac{\sqrt{5} - \sqrt{2} }{\sqrt{5} - \sqrt{2} }[/tex]

[tex]\frac{\sqrt{5} - \sqrt{2} }{(\sqrt5)^{2} - \sqrt{2})^2 } }[/tex]

[tex]\frac{\sqrt{5} - \sqrt{2} }{5-2}[/tex]

[tex]\frac{\sqrt{5}-\sqrt{2} }{3}[/tex]

Answer:

[tex]g(x)=\sqrt{x+2}[/tex]

Step-by-step explanation:

Parent function of the given graph is,

f(x) = [tex]\sqrt{x}[/tex]

If the parent function is shifted 2 units to he left the new function or image function will be,

g(x) = [tex]\sqrt{x+2}[/tex]

Therefore, graph will represent the graph of the function g(x) = [tex]\sqrt{x+2}[/tex].  

Answer:

The answer is Credit union

Step-by-step explanation:

Answer:

A = 112cm²

Step-by-step explanation:

Area of a triangle = (bh) / 2

b = base length and h  = height

The triangle shown has a given base length of 14cm and a given height of 16cm

Hence area = ( 16 * 14 ) / 2

16 * 14 = 224

224 / 2 = 112

A = 112cm²

Answer:

24 ft

Step-by-step explanation:

The area of a square is given by

A = s^2

36 = s^2

Take the square root of each side

sqrt(36) = sqrt(s^2)

6 = s

The perimeter of a square is

P = 4s

P = 4(6)

P = 24