Can you please help me with this.. you only have to do the first one (a)

Answer:

(a) The sum of the previous term and 9

(b) 36, 45, 54

Step-by-step explanation:

Given

Sequence: Arithmetic Progression

[tex]0,9,18,27[/tex]

Solving (a): Describe the relationship in each term

First, we calculate the common difference (d)

In arithmetic progression:

[tex]d = T_n - T_{n-1}[/tex]

Take n as 2

[tex]d = T_2 - T_{2-1}[/tex]

[tex]d = T_2 - T_{1}[/tex]

Where

[tex]T_2 = 9\ and\ T_1 = 0[/tex]

[tex]d =9-0[/tex]

[tex]d =9[/tex]

The relationship is: The sum of the previous term and 9

Solving (b): The next three terms

As said in (a) each term is derived from a sum of 9 and the previous term

So, we have:

[tex]Next\ Term = 27 + 9 = 36[/tex]

[tex]Next = 36 + 9 = 45[/tex]

[tex]Next = 45 + 9 = 54[/tex]

Hence, the next three terms are: 36, 45 and 54

Answer:

B. 8/10

Step-by-step explanation:

Answer:

The answer is D. 4/13

Step-by-step explanation:

Answer:

D. 25

Step-by-step explanation:

By geometric mean property:

[tex] {(12)}^{2} = LM\times JM \\ \\ 144 = LM\times16 \\ \\ LM = \frac{144}{16} \\ \\ LM = 9 \\ \\ [/tex]

JL = JM + LM = 16 + 9 = 25

Answer:

A.)

Step-by-step explanation:

Answer: x=-36

2+1/6x=-4

-2         -2

1/6x=-6

*6     *6

x=-36

I hope this helps:

Answer:

225 I just checked tell me if you're right

Answer:

15*15 = 225

15*15 is the same as [tex]15^{2}[/tex]

if you wanted to sit there you could add 15 with itself 15 times and you'd get 225.

no matter how ya do it, 15 *15 is 225

Step-by-step explanation:

Answer:

angle HEG = 12 degrees

Step-by-step explanation:

A line is 180 degrees. Since there is a right angle there, you know that angleHEG and 78 added together is 90degrees

x + 78 = 90         >> subtract 78 from both sides

x = 12

angle HEG = 12 degrees

Answer:

18 degrees

Step-by-step explanation:

There is a little box on the left that indicates both angles together make a 90 degree angle so you just have to do 90 - 78 to get the answer.

Answer:

C. The relationship between the quantities is: add 25.

Step-by-step explanation:

1x = 25y,

2x = 25 + 25 = 50y

3x = 50 + 25 = 75y

4x = 75 + 25 = 100y

Note:

As you can see, every time the number goes up on the chart, it goes up by 25 and you can find that out by just simply adding 25 to the first number and seeing if it matches up with the next, (which I did above).

Answer:

$1711.5

Step-by-step explanation:

Step one

given data

Principal = $1500

interest rate= 4.5% = 0.045

time = 3 years

Step two:

The compound interest expression is

[tex]A= P(1+r)^t\\\\A=1500(1+0.045)^3\\\\A=1500(1.045)^3\\\\A=1500*1.141\\\\A=1711.5[/tex]

Answer:

32°

Step-by-step explanation:

sin 75° =  x  

    22         12

0.965925 =  x  

      22           12

22x = 11.5911

x = 0.526

[tex]sin^{-1}[/tex] (.526) = 31.7

Answer:

31.8

Step-by-step explanation:

9514 1404 393

Answer:

  B  0

Step-by-step explanation:

Converting all of the fractions to eighths, we have ...

  (9/8 +1/8) -10/8

  = 10/8 -10/8

  = 0

Answer: 0

Step-by-step explanation:

Answer:

a)

Step-by-step explanation:

PA ≅ BP

Perpendicular bisector means it divides the line into two equal part at 90°

Answer:

Just put the money divided by the percent in a calculator-

Step-by-step explanation:

:/

Answer:

The answer is

[tex]y = \frac{1}{4} x - 2[/tex]

Step-by-step explanation:

Remmeber:

[tex]Slope = \frac{rise}{run} [/tex]

Answer:

y+7 = 1/7(x+3)

Step-by-step explanation:

Point slope form of a line is given by

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

(y -  -7) = 1/7(x - -3)

y+7 = 1/7(x+3)

Answer:

m=5

Step-by-step explanation:

2x+10y=20

10y=-2x+20

y=-1/5x+2

slope of this line=-1/5

(replace the denominator by the nominator and the nominator by the denominator and change the sign to the opposite one negative to positive)

slope of perpendicular line=5

Answer:

25 Haybales

Step-by-step explanation:

On your trailer you should be able to fit 25 bales in a tier (spelling). 6 high would give you 150. Then you should be able to put another 10-20 on the neck of the trailer. All depends on how high you want to stack.

Answer:

Yes

Step-by-step explanation:

It is true because the equation would be 1 is less than or equal to 3-(-4)

Answer:

4

Step-by-step explanation:

Answer:

Everything in red works

Step-by-step explanation:

Answer: 1. X=4

2. X=12

3. X=5

4. B=1

Step-by-step explanation:

Answer:

the APY on this credit card is 15.56%

Step-by-step explanation:

The computation of the APY is as followS:

The nominal monthly rate is

= 0.1455 ÷ 12

= 0.012125

Now

real annual rate= [(1 + Nominal monthly rate)^number of months] - 1

= [(1.0.12125^12) - 1]

= 15.56%

Hence, the APY on this credit card is 15.56%

The same is considered by applying the given formula

Answer:

= 1 2

Step-by-step explanation:

Combine multiplied terms into a single fraction

Multiply by 1

Add the numbers

Subtract  7  from both sides of the equation then Simplify

Answer:

Larger number: 29.5

Smaller number: 25.5

Answer:

Part A: 100

Part B: 625

Step-by-step explanation:

Part A equation: 25 x 4 = 100

Part B equation: 25 x 25 = 625

Answer:

it is 60 of right angle

Step-by-step explanation:

there

Answer: y = 8x

3 x 8 = 24

5 x 8 = 40

8 x 8 = 64

Answer:

No

Step-by-step explanation:

because if you use distribution on 2(x+3)+7x it gives you 2x+6=7x which does not equal 2x+3+7x