Find the 5th term of the
sequence: 2, -6, 18, -54...

Answers

Answer 1

Answer:

162 5th term

Step-by-step explanation:

Answer 2

Answer:

5th term =162

Step-by-step explanation:

It is a geometric progression whose nth term = ar^n-1

Where a = 1st term =2

r=ratio of two term= -6/2=-3

n =nth term

So 5th term= 2x-3^5-1

=2x-3^4

=2x81=162 answer


Related Questions

14 Solve for the value of x.
3
(2x - 10)
(4x + 16)

Answers

Value of x is 29.........

Simplify the expression: (n-8)-(-2n+2)

Answers

Step-by-step explanation:

3 n - 10

Answer:

3n-10

Step-by-step explanation:

Distribute

(n-8)-(2n+2)

(n-8)+2n-2

Eliminate Perinthesis

n-8+2n-2

Subtract

n-10+2n

Combine like terms

3n-10

if payton has an 73% for a grade and got and 78% on a test does it lower or rises her grade?​

Answers

Pretty sure it rises her grade.

prettyy pretty help :):) ?

Answers

Answer: B

Step-by-step explanation:

Write a linear function in the form y = mx + b for this function
representation.

Answers

Answer:

y = -3, 3

Step-by-step explanation:

The function line goes on both -3 and 3. The answer is y = -3, 3

Answer:

c= -2

m= 2/3

y=2/3x-2

3y=2x-6

which shows the price of a $35 video game after a mark up 27%

Answers

Answer:

Step-by-step explanation:

35*27%=9.45 mark up

35+9.45= 44.45 total cost

Answer:

The answer is $44.45

Step-by-step explanation:

You change the percent into a decimal so it would be .27 then multiply the .27 to the $35 and you will get $9.45. Then you add the $9.45 to the $35 and you will get the answer.

The value of x is???

Answers

Step-by-step explanation:

x/9 = 9/15

x = 9(9)/15

x= 5.4

Find 3028 ÷ 150. Write the answer as a mixed number in simplest form.

Answers

Answer: 20.1866666667 as a mixed number is  20  14/75

Step-by-step explanation:

Select all the values that are equivalent to the given expression. Express your answer in scientific notation.
(9.6 X 103) X (6.7 X 10)
6.432 X 105
6.432 X 106
64.32 x 105
64.32 X 106
(9.6 X 6.7) X (103 X 10)

Answers

the equivalent expressions are:

(9.6*6.7)*(10³*10) 64.32*10⁴ 6.432*10⁵

And the expression in scientific notation is the last one in the bullet points.

Which are the values equivalent to the given expression?

Here we start with the expression:

(9.6*10³)*(6.7*10)

Where both numbers are in scientific notation, notice that we can write that product as:

(9.6*10³)*(6.7*10) = (9.6*6.7)*(10³*10) = 64.32*10⁴

Now, remember that in scientific notation, we only can have a single digit in the left of the decimal point, so we can rewrite:

64.32*10⁴ = 6.432*10⁵

So the equivalent expressions are:

(9.6*6.7)*(10³*10) 64.32*10⁴ 6.432*10⁵

And the expression in scientific notation is the last one in the bullet points.

Learn more about scientific notation:

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g(x) = 2r- 9x2 + 7x + 6
factor

Answers

Answer:

(2x+1)(x−3)(x−2)

Step-by-step explanation:

Which is the best estimate for the height of the candle after 1 hour?
A. 4 cm
B. 5 cm
C. 8 cm
D. 9 cm​

Answers

Answer:

about 5.5

Step-by-step explanation:

so 5cm. Just trust me i dont know how to explain but i know its right.

Answer:

C.8cm

Step-by-step explanation:

i took the test its correct

The ratio of red balloons to blue balloons at a party is 4 to 9. If there are 20 red balloons, how many blue balloons are there?

Answers

Answer:

Step-by-step explanation:

4/9 to 20/x

cross multiply and divide to get your answer

4     20

9     x

4x=180

x=45

The number of blue balloons will be equal to 45.

What is a fraction?

Any number of equal parts is represented by a fraction, which also represents a portion of a whole.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the ratio of red balloons to blue balloons at a party is 4 to 9. There are 20 red balloons. The number of blue balloons will be calculated as below:-

4/9 to 20/x

Cross multiply and divide to get your answer.

4 / 9 = 20 / x

4x=180

x=45

Therefore, the number of blue balloons will be equal to 45.

To know more about fractions follow

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Solve for the angle denoted by the "?". Round to the nearest tenth. *
(10 Points)
0.7 degrees
35.4 degrees
54.6 degrees
45.3 degrees
WILL MAKE BRANLIEST

Answers

Answer:

Step-by-step explanation:

tanx=27/38

take the inverse...

tan^-1(27/38)

≈35.4 degrees

Given h(x) = -7x + 1, find x if h(x) = 50

Answers

Answer:

-7

Step-by-step explanation:

-7(-7) is 49 and 49 + 1 = 50

Answer:

h(50)=-349

Step-by-step explanation

Substitute all x values with 50

h(50)= -7 (50)+1

Simplify

h(50)= -350+1

Simply even further

h(50)= -349

Hope this helps!

Several paint mixtures are made by mixing blue paint and white paint. Paint Colors Blue Paint White Paint Mixture A 5 cups 12 cups Mixture B 6 cups 6 cups Mixture C 4 cups 12 cups Mixture D 5 cups 6 cups Which mixture has the lowest ratio of blue paint to white paint? mixture A mixture B mixture C mixture D

Answers

Answer:

The mixture C is the correct option

Step-by-step explanation:

According to the given scenario, the calculation is as follows:

For Mixture A

Blue Paint - 5 cups

White Paint - 12 cups

The ratio between them is 5:12

For Mixture B

Blue Paint - 6 cups

White Paint - 6 cups

 The ratio between them is 6:6 = 12:12

It came by multiply the numerator and denominator by 12

For Mixture C

Blue Paint - 4 cups

White Paint - 12 cups

 The ratio between them is 4:12

For Mixture D

Blue Paint - 5 cups

White Paint - 6 cups

 The ratio between them is 5:6 = 10:12

It came by multiply the numerator and denominator by 12

As it can be seen that in all four mixtures the denominator is the same so for calculating the lowest ratio we have to see the small value in the numerator

As it can be seen that there is a small value of 4

hence, the mixture C is the correct option

Answer:

C mixture

Step-by-step explanation:

Austin is working two summer jobs, making $12 per hour washing cars and $13 per hour landscaping. Austin must earn a minimum of $150 this week. Write an inequality that would represent the possible values for the number of hours washing cars, ww w, and the number of hours landscaping, ll l, that Austin can work in a given week.

Answers

Answer:

12w+13l≥150

Step-by-step explanation:

From the information given, the inequality would indicate that the amount Austin receives from washing cars plus the amount he receives from landscaping that are equal to the price per hour of each job for the number of hours would be greater than or equal to $150:

12w+13l≥150

write cp and sp i bought a suit rs 5750.00 and sold it at rs 5890.00?​

Answers

CP = Rs 5750.00

SP = Rs. 5890.00

[tex]\rm \blue{\: mark \: brainleist \: }[/tex]

How to find missing angles

Answers

Step 1: Add together the known angles.
Step 2: Subtract the sum from 180°.

Is (6, -6) a solution to the system
- 4x – 2y = -12
4x + 8y = -24
Yes
No

Answers

Yes (6, -6) is a solution to the system.

Answer:

[tex] - 4x - 2y = - 12 \\ 4x + 8y = - 24 \\ \\ 6y = - 36 \\ y = \frac{ - 36}{6} = - 6 \\ \\ - 4x - 2( - 6) = - 12 \\ - 4x + 12 = - 12 \\ - 4x = - 12 - 12 \\ - 4x = - 24 \\ x = \frac{ - 24}{ - 4} = 6 [/tex]

yes it's a right answer

What's the equation of the line that passes through the points (7,4) and (-7,1)

Answers

Answer:

y=-5/14x-3/2

Step-by-step explanation: Thats the equation

I really hope this answer make sense for you

Find the missing side. Round to the nearest tenth.

A. 13.3
B. 11.3
C. 16.8
D. 27.1

Answers

Answer:

A. 13.3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Trigonometry

tan∅ = opposite over adjacent

Step-by-step explanation:

Step 1: Set up equation

tan55° = 19/x

Step 2: Solve for x

Multiply x on both sides:                    xtan55° = 19Divide tan55° on both sides:             x = 19/tan55°Evaluate:                                             x = 13.3039Round:                                                x ≈ 13.3

And we have our final answer!

Answer:

13.3

Step-by-step explanation:

This is trigonometry

So for this one, we use a basic ratio. We need to use 19 and 55 degrees for the answer. We are given that the leg adjacent to the 55-degree angle is x and the opposite leg to the 55-degree angle is 19.

So we use tangent(opposite leg/adjacent leg) for this (TOA of SOH CAH TOA)

tan(55 degrees)=19/x

  SO then solve for x and then evaluate using a scientific calculator and you should get 13.30394322

      13.3

Simplify 4x + 3(5x) + 4y - x =​

Answers

Answer:

= 18x + 4y hope this helps :)

Step-by-step explanation:

Answer:

18x+4y

Step-by-step explanation:

What is the value of x in the equation 0.02x + 0.7 = 0.8?

Answers

Answer:

5

Step-by-step explanation:

0.02x=0.8-0.7

0.02x=0.1

x=5

Answer:

x = 5

Explanation :

0.02(5) + 0.7 = 0.8

0.1 + 0.7 = 0.8

Help please!!! ON THISSS (i will report you if not answered seriously) :))

Answers

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[tex]XCV \: \: angle = \frac{XWV \: \: arc}{2} \\ [/tex]

Multiply sides by 2

[tex]2 \: XCV \: \: angle = XWV \: \: arc[/tex]

[tex]XWV \: \: arc = 2 × XCV \: \: angle \\ [/tex]

[tex]XWV \: \: arc = 156°[/tex]

_________________________________

[tex]XWV \: \: arc + VCX \: \: arc = 360° \\ [/tex]

[tex]156° + VCX \: \: arc = 360°[/tex]

Subtract sides 156°

[tex]-156° + 156° + VCX \: \: arc = -156° + 360° \\ [/tex]

[tex]VCX \: \: arc = 204°[/tex]

_________________________________

[tex]XWV \: \: angle = \frac{XCV \: \: arc}{2} \\ [/tex]

[tex]17x = \frac{204}{2} \\ [/tex]

[tex]17x = 102[/tex]

Divide sides by 17

[tex] \frac{17x}{17} = \frac{102}{17} \\ [/tex]

[tex]x = 6[/tex]

_________________________________

Sum of the interior angles of XWVC equal 360° .

Thus in XWVC :

[tex]X + W + V + C = 360°[/tex]

[tex](9y) + (17x) + (6y) + (78°) = 360° \\ [/tex]

[tex]15y + 17x + 78° = 360°[/tex]

[tex]15y + 17(6) + 78° = 360°[/tex]

[tex]15y + 102° + 78° = 360°[/tex]

[tex]15y + 180° = 360°[/tex]

Subtract sides 180°

[tex]15y + 180° - 180° = 360° - 180° \\ [/tex]

[tex]15y = 180°[/tex]

Divide sides by 15

[tex] \frac{15y}{15} = \frac{180}{15} \\ [/tex]

[tex]y = 12[/tex]

_________________________________

[tex]X = 9y[/tex]

[tex]X = 9(12)[/tex]

[tex]X = 108°[/tex]

[tex]V = 6y[/tex]

[tex]V = 6(12)[/tex]

[tex]V = 72°[/tex]

[tex]W = 17x[/tex]

[tex]W = 17(6)[/tex]

[tex]W = 102°[/tex]

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2x-5(x-4)=-7+3x+15 pls help
Asap

Answers

Answer:

x=2

Step-by-step explanation:

2x-5x+20=-7+3x+15

-3x+20=8+3x

20-8=3x+3x

12=6x

x=2

share 126 in the ratio 2:5

Answers

Answer:

first share 2x=36

Second share=5x=90

Step-by-step explanation:

Ratio 2:5

Share=126

Let first share=2x

Second share=5x

So 2x+5x=126

7x=126

X=126/7

X=18

So first share 2x=36

Second share=5x=90

Katie runs 5 laps arround the park in 8 minutes.how many laps her minute is that

Answers

Answer:

1.6 mins

Step-by-step explanation:

8 divided by 5 = 1.6

Answer:

8÷5=1.6 answer is 1.6

Step-by-step explanation:

running each lap at 1.6 minutes

What is an equation of the line that passes through the point (−2,−2) and is parallel to the line 5x−y=4?

Answers

Answer:

It is -5

Step-by-step explanation:

Answer: y=5x+8

Step-by-step explanation:

first you solve for y:
5x - y = 4
-5x       -5x
     ↓
[tex]\frac{-y}{-1}[/tex] = [tex]\frac{-5x+4}{-1}[/tex]
     ↓

y = 5x - 4

slope of given line: 5
slope of a parallel line: 5

plug in slope:
y = 5x + b

find b, which is 8 :)

plug it in!

y = 5x + 8

A business has a 200 ft wall and places 6 ft letters on the center of an exterior wall to spell SALE. If there is 1ft between each letter, where do they start the letter S?

Answers

Answer:

200 - 6 = 194

194 / 2   = 97

So the wall pretty much will be

]

]

]

]     97 fT

]

]

S

A

L

E

]

]

]     97 fT

]

]

Step-by-step explanation:

Help plz with this math problem. I’m so confused

Answers

Slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

From this graph we should determine two points so we can work out the slope. Let's take points (3, -4) and (6, -2).

                                       

The equation to find the slope is:

m = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

Let's substitute in our values:

m = [tex]\frac{-2 - -4}{6 - 3}[/tex]

Remember that two negatives make a positive, let's solve for m:

m = [tex]\frac{2}{3}[/tex]

Okay, now we have the value of m. Now we need the value of b. We can determine this by looking at the graph and looking where the line passes through the y-axis. In this graph, we can see the line pass through the y-axis at point (0, -6).

Therefore we can determine that b = -6.

Let's substitute our value for m and our value for b into the slope-intercept formula:

y = mx + b

y = [tex]\frac{2}{3}[/tex]x + -6

There's your final answer! I hope this helps, have a great night. :)

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