find the 120th term of the following sequence
7, 14, 21, ...
a120 =

Answer:

Equation 1

hope this helps

Answer:

Joyce should write [tex]1,8,64,512,4096[/tex]

Step-by-step explanation:

Let's analyze the procedure of how the pictures are formed.

Her teacher said the images were created by taking a red square, dividing it into 9 smaller squares, and removing the center square.

For the first two images we can see and count that there is 1 red square in the first picture and 8 red squares in the second picture.

For the third image, there are 8 squares formed by 8 red squares each one.

The number of red squares is 8 x 8 = 64

We can write the sequence as

1 , 8 , 64 ⇒ 1 , 8 , [tex]8^{2}[/tex]

For the fourth picture we can do the same reasoning and figure out that there are 8 x 8 x 8 = 512 red squares in the fourth image.

The sequence so far is

1 , 8 , 64 , 512 ⇒ 1 , 8 , [tex]8^{2}[/tex] , [tex]8^{3}[/tex]

We can generalize the sequence and write that the sequence is :

[tex]8^{n}[/tex] with [tex]n[/tex] ∈ IN ⇒ The first five numbers will be

[tex]8^{0},8^{1},8^{2},8^{3},8^{4}[/tex] = [tex]1,8,64,512,4096[/tex]

Answer:

x + y

Step-by-step explanation:

In these examples, a and b are positive numbers.

- a + ( - b) = - (a+ b)

- a - ( - b) = - a + b

- a * - b = a * b

- a / -b = a/b

Hope this helps understanding.

Step-by-step explanation:

Think of 4.29 and 4.3 as 429 and 430.

Now which is greater, 429 or 430?

430, right? Then we convert them back to decimals.

4.29<4.3

Hope it helps!

Answer:

(-3.5 8.5)

Step-by-step explanation:

Midpoint Formula: ([tex]\frac{x2 + x1}{2}[/tex], [tex]\frac{y2 + y1}{2}[/tex])

What I did: -10 + 3 = 7, 7 / 2 = 3.5 x = 3.5 | 9 + 8 = 17, 17 / 2 = 8.5

Midpoint = (-3.5, 8.5)

Answer:

A

Step-by-step explanation:

in the end of the sentence it mentions "in the future" so you need to make that verb future tense as well

I think the correct answer is A.

Explanation: It just makes the most sense to me. I dont really know how to explain it any better! Im sorry! I hope this helped!! :)

Answer:

x=8.25

Step-by-step explanation:

Divide both sides by 7/3

(x+9/28) = 8.57

Subtract 9/28 on both sides

x = 8.25

Answer:

  D)  7.01

Step-by-step explanation:

The rates of doing work, in terms of jobs per hour, will add when the two painters are working together. If A represents Alberto's time to do the job alone, we have ...

  1/4.12 = 1/10 + 1/A

(Jobs per hour is the inverse of hours per job.)

  A = 1/(1/4.12 -1/10) ≈ 7.0068 ≈ 7.01

It takes Alberto 7.01 hours to do the job alone.

slope-intercept form: y = mx + b

m = the slope and b = the y-intercept.

We know that the line passes through x-coordinate 1 and y-coordinate 1 and has a slope of 2

Let's plug our numbers into the slope-intercept form

1 = 2(1) + b

Simplify the right side

1 = 2 + b

Subtract 2 from both sides

-1 = b

The final answer: y = 2x - 1

Answer:

The question is incomplete. The complete question is :

A plane traveling at a constant speed flew over Pittsburgh, Saint Louis, Albuquerque, and Phoenix on its way from New York to San Diego.

Complete the table as you answer the questions. Be prepared to explain your reasoning.

       segment                              time                     distance        speed

Pittsburgh to Saint Louis    1 hour                    550 miles  

Saint Louis to Albuquerque 1 hour 42 minutes  

Albuquerque to Phoenix                             330 miles  

Step-by-step explanation:

We can complete the table as :

  segment                              time                     distance        speed

Pittsburgh to Saint Louis    1 hour                   550 miles   550 miles/hour

Saint Louis to Albuquerque 1 hour 42 minutes    93.5 miles 550 miles/hour

Albuquerque to Phoenix   3/5 hour           330 miles 550 miles/hour

Since it is given in the question that the plane is flying in a constant speed from one place top another place.

So, it is maintaining the same speed to cover different distances for different time.

Thus the constant of proportionality is 550.

Answer:

x= -1

x=1

Step-by-step explanation:

Answer:

The value of x is 29°...

When an angle is bisected, it is cut in half. We can assume that m<BAR = m<CAB and we know that m<CAR = m<CAB + m<BAR

88 = 2x - 14 + 2x - 14

Combine like terms

88 = 4x - 28

Add 28 to both sides

116 = 4x

Divide both sides by 4

29 = x

Given :

An expression D = 401 km 101 m – 34 km 153 m.

To Find :

Value of D.

Solution :

We know, 1 km = 1000 m.

So, 401 km 101 m =( 401000 + 101 ) m = 401101 m.

Also, 34 km 153 m = ( 34000 + 153 ) m = 34153 m.

Now, D is given by :

D = 401101 - 34153 m

D = 366948 m

Now, D = 366948 m = 366 km 948 m.

Therefore, the difference is 366 km 948 m.

Hence, this is the required solution.

Answer:

[tex]\frac{7x}{8}-\frac{1}{40}[/tex]

Step-by-step explanation:

[tex](\frac{3x}{4}-\frac{5}{8})+(\frac{x}{8}+\frac{3}{5})[/tex]

By combining the like terms,

= [tex](\frac{3x}{4}+\frac{x}{8})+(\frac{3}{5}-\frac{5}{8})[/tex]

= [tex](\frac{6x}{8}+\frac{x}{8})+(\frac{3}{5}\times \frac{8}{8}-\frac{5}{8}\times \frac{5}{5} )[/tex]

= [tex]\frac{7x}{8}+(\frac{24}{40}-\frac{25}{40})[/tex]

= [tex]\frac{7x}{8}-\frac{1}{40}[/tex]

Therefore, by solving the given expression we find the answer as [tex]\frac{7x}{8}-\frac{1}{40}[/tex].

Answer:

the first component of ordered pair is domain and second component is range

Answer:

In its simplest form the domain is all the values that go into a function, and the range is all the values that come out

Answer:

Please check explanation

Step-by-step explanation:

Here, in this question, we are interested in identifying the error made by Jillian in his solution of the equation.

This error is traceable to the second step of his solution. Adding 4.3 to 7.05 and subtracting again is the same thing as not adding anything or just adding zero only.

What he should have done is to subtract the value of 4.3 from both sides of the equation. In that manner, he would have been able to isolate v on the left hand side of the equation

Answer:

15% = 3/20 = 0.15

1.25 =125% =5/4

12 3/8 = 12.375 = 1237.5%

Step-by-step explanation:

15% to fraction , then decimal ;

[tex]15\% = \frac{15}{100} \\Cross\:cancel\:common\:factor ; 5\\\\15\div 5 = 3\\100\div 5 = 20\\\\= \frac{3}{20}\\\\\frac{3}{20} = 0.15[/tex]

1.25 to fraction , then percentage

[tex]1.25 = \frac{1.25}{1} \times \frac{100}{100} \\\\1.25\times 100 =125\\1\times 100 = 100\\\\= \frac{125}{100} \\= \frac{5}{4} \\\\1.25\times 100\\= 125\%[/tex]

12 3/8 to decimal then percentage

[tex]12\frac{3}{8} =\frac{99}{8} = 12.375\\\\12.375\times 100\\\\= 1237.5\%[/tex]

Answer:

14=7(2x-4)

0r, 14/7 = 2x-4

or, 2= 2x-4

0r,2x= 6

or x=3

14=7(2x-4)

14=14x -28

14x=42

x=42/14=3

Method 1

Divide both sides by 7 first to get

14 = 7(2x-4)

14/7 = 7(2x-4)/7

2 = 2x-4

Then add 4 to both sides

2+4 = 2x-4+4

6 = 2x

2x = 6

Finally, divide both sides by 2

2x/2 = 6/2

x = 3

which is the final answer

------------------------------------------------------------------------------------------------

Method 2

Distribute the 7 through to each term in the parenthesis

14 = 7(2x-4)

14 = 7*2x + 7*(-4)

14 = 14x - 28

Then we follow similar steps as done earlier. Add 28 to both sides

14+28 = 14x-28+28

42 = 14x

14x = 42

Then divide both sides by 14 to fully isolate x

14x/14 = 42/14

x = 3

Either way we get the same result. As to which method you pick (if you could only choose one), its up to you based on whichever you find easier.

The basic idea with either method is that we follow PEMDAS in reverse to undo everything happening to x. This way we fully isolate it.

----------------

Checking the answer:

Plug x = 3 into the original equation. Simplify to get

14 = 7(2x-4)

14 = 7(2*3-4)

14 = 7(6-4)

14 = 7*2

14 = 14

This confirms the answer. As you can see, if we know the value of x, we use PEMDAS to simplify both sides. But if we don't know x, and want to find it, then we follow PEMDAS in reverse.

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(6,4) and (-5,-1)

The distance between them is

[tex]d = \sqrt{ ({6 + 5})^{2} + ( {4 + 1})^{2} } \\ = \sqrt{ {11}^{2} + {5}^{2} } \\ = \sqrt{121 + 25} \\ = \sqrt{146} \\ \: \: \: \: \: \: \: \: \: \: \: = 12.0830459[/tex]

We have the final answer as

Hope this helps

Answer:

Option 4

Step-by-step explanation:

If the circle is filled in them it will be either ≤, ≥, ≈ .

One circle is open one is closed

Answer:

V2 = 670.129

Step-by-step explanation:

V1T2 = V2T1

Let V2 = y

600 x 86.0 = y x 77.0

51600 = 77y

77y/77 = 51600/77

y = 670.129

since y= V2

V2 = 670.129

Answer:

$12.5

Step-by-step explanation:

Since prize is split equally.

So, money received by each person

= 75/6

= $12.5

Answer:6:2

Step-by-step explanation:

Answer:

how many batches you need to know? If 2 batches the answer is 6:2 and if 4 batches it is 12:4

Hey there!☺

[tex]Answer:\boxed{3y+2}[/tex]

[tex]Explanation:[/tex]

[tex]3y+2[/tex]

Since there are no like terms and it can't be factored the answer is:

[tex]3y+2[/tex]

Hope this helps!

Answer:

Do you have a picture of the problem, please?

Step-by-step explanation:

Only then, can I edit this and provide an accurate answer! ;D

Answer:

x=7

Step-by-step explanation:

x=7

Answer:

b

Step-by-step explanation:

The sum of the first ten terms of the sequence is -59,048. The correct option is C.-59,048

Here is the correct question:

What is the sum of the first ten terms of the sequence 4, -12, 36, -108...

From the question,

The given sequence is 4,-12, 36, -108...

This is a geometric progression since it has a common ratio.

The common ratio, r = -3

Recall that,

Given a geometric progression, the common ratio, r is given as

[tex]r = \frac{T_{2} }{T_{1}} = \frac{T_{3} }{T_{2}} =\frac{T_{4} }{T_{3}} = ...[/tex]

From the given sequence,

[tex]T_{1} = 4[/tex]

[tex]T_{2} = -12[/tex]

[tex]T_{3} = 36[/tex]

[tex]T_{4} = -108[/tex]

∴ [tex]r = \frac{-12 }{4} = \frac{36}{-12} =\frac{-108} {36} = -3[/tex]

Therefore, the sequence is a geometric progression with a common ratio of 3

Now, to determine the sum of the first ten terms of the sequence,

From the formula

[tex]S_{n} = \frac{a(1-r^{n}) }{1-r}[/tex]

Where [tex]S_{n}[/tex] is the sum of n terms

[tex]a[/tex] is the first term

[tex]r[/tex] is the common ratio

and [tex]n[/tex] is the number of terms in the series

From the question

[tex]a = 4[/tex]

[tex]r = -3[/tex]

and [tex]n = 10[/tex] (Since, we are to determine the sum of the first 10 terms)

Now, put the parameters into the formula

[tex]S_{n} = \frac{a(1-r^{n}) }{1-r}[/tex]

We get

[tex]S_{10} = \frac{4(1-(-3)^{10}) }{1-(-3)}[/tex]

[tex]S_{10} = \frac{4(1-59049) }{1+3}[/tex]

[tex]S_{10} = \frac{4(-59048) }{4}[/tex]

[tex]S_{10} = \frac{-236192 }{4}[/tex]

[tex]S_{10} = -59048[/tex]

Hence, the sum of the first ten terms of the sequence is -59,048. The correct option is C.-59,048

Learn more here: https://brainly.com/question/10315487

Answer:

- 5

Step-by-step explanation:

Step 1:

2p - 3 = 3p + 2

Step 2:

2p = 3p + 2 + 3

Step 2:

2p = 3p + 5

Step 3:

- p = 5

Answer:

p = - 5

Hope This Helps :)

Answer:

-5

Step-by-step explanation:

2p - 3 = 3p + 2

combine the like terms

-3 -2 = 3p -2p

-5 = p