The first four terms of an arithmetic sequence are shown below.
1, 5, 9, 13,......

(a) Write down the nth term of the sequence (general formula).

(b) Calculate the 100th term of the sequence.

(c) Find the sum of the first 100 terms of the sequence.

Answer: 170

Step-by-step explanation:

275-105

Answer:

Step-by-step explanation:

1)

First we add what we know for y into the second equation.

5x - 4(x +2)= -3

From there, we simplify it

5x-4x-8= -3

x-8=-3

Now we get the x on its own

x=5

and now we add x=5 into the first equation that we had and simplify to find y

y=5+2

y=7

So the answer is x=5, y=7 or (5,7)

2)

For this one we do the same thing as with 1.

Add what we know for y (bottom equation) to the top equation

3x-8(x-8)=24

Now we simplify

3x-8x+64=24

-5x+64=24

And now solve for X

-5x=-40

x=8

And then substitute x=8 to find y

y=8=8

y=0

So the answer is x=8, y=0 or (8,0)

Answer:

Step-by-step explanation:

Answer:

42+1882384/23 √14

Step-by-step explanation:

√56/23 (98^3) +42

42+1882384/23 √14

Answer:

d

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

First you'd write an equation:

y(the number of seats) = 3x(the number of rows) + 30

Then, you'd replace the X with 25 and get your answer:

y = 3 (25) + 30

y = 75 + 30

y = 105

Answer:

1584 in³

Step-by-step explanation:

(14 x 6 x 16) + (10 x 6 x 4) = 1584

Answer:

1,584

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

In 4z -5y, substitutte 8 for z and 3 for y, obtaining:

4(8) - 5(3) = 32 - 15 = 17

Answer:

17

Step-by-step explanation:

When you have a  number by its variable you multiple, if you know the value of the variable then you multiply the two numbers together.

4z-5y

when z=8 and y=3

The equation really is

4 times 8 - 5 times 3

4 times 8 is 32

5 times 3 is 15

15-32

15-32= 17

Answer:1st one is acute 2nd one is also acute 3rd one is obtuse last one is right

Step-by-step explanation:

Because I learned this already

Answer:The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Step-by-step explanation:Using PEMDAS which means (Parenthesis, Exponts, Mutliply, Divide, Add, and Subtract) The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Answer:

is this a question?

Step-by-step explanation:

Answer:

6-n / (n/2)-6,,,,,,,,,

Answer:

Factor

Step-by-step explanation:

Answer:

270 cubic feet

Step-by-step explanation:

3 * 6 * 15 = 270 cubic feet

Answer:

it is a triangles because the other are the name of the triangle.

Step-by-step explanation:

Answer:

121.36

Step-by-step explanation:

L times W times H

Step-by-step explanation:

8 x 3.7 x 4.1 = 121.36

length x width x height = volume

Answer:

The answer is 5

Step-by-step explanation:

Question:

The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours.

[tex]D(t) = \left \{ {{300t + 125,\ 0 \le t < 2.5} \atop {880,\ 2.5 \le t \le 3.5}} \right.[/tex]

              [tex]75t + 612.5,\ 3.5 < t \le 6[/tex]

Which times and distances are represented by the function?  

(a)The starting distance, at 0 hours, is 300 miles.

(b) At 2 hours, the traveler is 725 miles from home.

(c) At 2.5 hours, the traveler is 875 miles from home.

(d) At 3 hours, the distance is constant, at 880 miles.

(e) The total distance from home after 6 hours is 1,062.5 miles.

Answer:

Step-by-step explanation:

Given

[tex]D(t) = \left \{ {{300t + 125,\ 0 \le t < 2.5} \atop {880,\ 2.5 \le t \le 3.5}} \right.[/tex]

              [tex]75t + 612.5,\ 3.5 < t \le 6[/tex]

Required

Select the right options

(a) t = 0 hours, d(t) = 300 miles.

To check this, we make use of:

[tex]D(t) = 300t + 125, 0 \le t < 2.5[/tex]

So, we have:

[tex]D(0) = 300*0 + 125[/tex]

[tex]D(0) = 0+125[/tex]

[tex]D(0) = 125[/tex]

(a) is incorrect

(b) t =2 hours, d(t) = 725 miles

To check this, we make use of:

[tex]D(t) = 300t + 125, 0 \le t < 2.5[/tex]

[tex]D(2) = 300 *2 + 125[/tex]

[tex]D(2) = 600 + 125[/tex]

[tex]D(2) = 725[/tex]

(b) is correct

(c) t = 2.5 hours, d(t) = 875 miles

To check this, we make use of:

[tex]D(t) = 800, 2.5 \le t \le 3.5[/tex]

So, we have:

[tex]D(2.5) = 800[/tex]

(c) is incorrect

(d) t = 3 hours, d(t) = 880 miles constant

To check this, we make use of:

[tex]D(t) = 800, 2.5 \le t \le 3.5[/tex]

So, we have:

[tex]D(3) = 800[/tex]

(d) is correct

(e) t = 6 hours d = 1,062.5 miles.

To check this, we make use of:

[tex]D(t) =75t + 612.5,\ 3.5 < t \le 6[/tex]

So, we have:

[tex]D(6) =75*6 + 612.5[/tex]

[tex]D(6) =450 + 612.5[/tex]

[tex]D(6) =1062.5[/tex]

(e) is correct

Answer:

I believe the answer would be 32.64

Step-by-step explanation:

$24 x 36% = 8.64

8.64 + 24 = $32.64

Step-by-step explanation:

Hey,

I'm sorry, this is not correct. For a reflection, all you have to do is count the number of points from that specific point to the line. So, for example, w is 6 units away from the line, in order to draw that, count 6 units and graph. It's pretty hard to explain, but remember the shape is being reflected, so the orientation must change. I suggest searching this up.

Let me know if you have any more questions and I'll be more than glad to help.

- Lena :)

The solution is, the surface area of the right cone is 602 cm^2.

The surface area of a cone is equal to the curved surface area plus the area of the base: π r 2 + π L r , \pi r^2 + \pi L r, πr2+πLr,

where r denotes the radius of the base of the cone, and L denotes the slant height of the cone.

here, we have,

Given that,

The slant height of the cone, l = 16 cm

The radius of the cone, r = 8 cm

The height of the cone is :

h² = l² - r²

or, h² = 16² - 8²

         = 192

or, h = √192

       = 13.85

now, we know that,

The surface area of the cone is given by :

SA = πr² + πrl

     =200.96 + 401.92

     = 601.93

     =602

Hence,  the surface area of the right cone is 602 cm^2.

to learn more on surface area of cone click:

brainly.com/question/1984638

#SPJ2

Answer:

A

Step-by-step explanation:

2(6)-3(4)=0<9

Answer:

Given that  

Marks of ten friends

   23%, 37%, 45%, 49%, 56%, 63%, 63%, 70%, 72% and 82%

Mean = 56

Variance = 284.6

Standards deviation = 16.9

Answer: 4/5

Step-by-step explanation: We are finding sin C so that means we should divide the opposite side of angle c by the hypotenuse of the triangle. (Soh Cah Toa). The opposite side of angle c is 28 and the hypotenuse is 35. The answer is 28/35 which simplifies into 4/5. hope this helps gg

Ok so I am not exactly sure if you want to know how many whole cups can be added or simply how many 2/3 cups make up 10, but heres what I found.

So to find how many 2/3 is in 10 cups you simply have to divide

10/(2/3) = 15

So 10 cups of flour is 15 (2/3) cups of flour.

Hope this helps :)