Determine the 8th term in the sequence defined by: A_n = 3 * 2^n-1​

Answers

Answer 1

Answer:

384 but see below.

Step-by-step explanation:

Remark

A_n = 3*2^(n - 1) I will assume that's what you mean. I'll give the answer for A_n = 3*2^n - 1 as well.

Solution

n = 8

A_n = 3 *2^(8 - 1)

A_8 = 3*2^7

A_8 = 3* 128

A_8 = 384

If you mean A_n = 3*2^n - 1

Then you would get

A_n =3 * 2^8 - 1

A_8 = 3 * 256 - 1

A_8 = 768 - 1

A_8 = 767


Related Questions

what fractions are equal to 2

Answers

Answer:

Step-by-step explanation:

I wanna make sure this is right pls help

Answers

Answer:

C

Step-by-step explanation:

Set it up like a formula

feet = inches/feet = cm/inches

You decide to decrease your average room rate from $160/night to $150/night. What is your rate decrease percentage?


a) 6.25%
b) 6.66%
c) 10%
d) 16%

Answers

The answer is B since 6.66% times 150 is 159.99

6. A pencil costs $2 less than a notebook. A pen costs 3 times as much as a pencil. The pen costs
$9. Write and solve an equation to determine the cost of the notebook and the cost of the
pencil.

Answers

Answer:

Step-by-step explanation:

9 x 3 = 27 aka pencil

27 + 2 = 29 = notebook

Write down the value of the 7 in 47298 in figures

Answers

Answer:

thousands or tens thousands

Step-by-step explanation:

I believe the answer is either thousands or ten thousand

Work out the surface area of this cylinder.

Answers

Answer: A≈2010.62

Step-by-step explanation:

Hope this helps

Find the area and the circumference of a circle with radius 8cm. Use the value 3.14 for π, and do not round your answers. Be sure to include the correct units in your answers.

Answers

Answer:

50.272 cm

Step-by-step explanation:

GIven

radius= 8cm

Pi= 3.142

Required

The circumference C

C= 2πr

substitute

C=2*3.142*8

C=50.272 cm

Hence the circumference is 50.272cm

Solve the system of equations for x and y.
y = x + 5
y = 2x + 2

Answers

Answer (x,y) (3, -2)

Explanation:
using the
substitution method
y
=
x

5

(
1
)
y
=

2
x
+
4

(
2
)
since both equations are expressed in terms of x we

can equate them

x

5
=

2
x
+
4
add 2x to both sides
2
x
+
x

5
=

2
x
+
2
x
+
4

3
x

5
=
4
add 5 from both sides
3
x
+
5

5
=
4
+
5

3
x
=
9
divide both sides by 3
3
x
3
=
9
3

x
=
3
substitute this value in
(
1
)
y
=
3

5
=

2
As a check
substitute these values into
(
2
)
right
=

6
+
4
=

2
=
left

point of intersection
=
(
3
,

2
)

1/4 is 60% of x. Write a proportion that you can use to find x

Answers

0.6x = 0.25
Woooooooo

The required value of x is approximately 0.4167 if 1/4 is 60% of x.

What is the proportion?

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.

To write a proportion that we can use to find the value of x, we can use the fact that "1/4 is 60% of x" and set up the proportion:

1/4 = (60/100) × x

Here, we have converted 60% to its equivalent decimal form (0.60) and 100% to its equivalent fraction (1).

We can then cross-multiply to solve for x:

1/4 × 1 = 0.60 × x

1/4 = 0.60x

0.25 = 0.60x

x = (0.25) / 0.60

x ≈ 0.4167

Therefore, the value of x is approximately 0.4167.

Learn more about the proportion here:

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Which of the following could be the graph of the equation y = -2x? *
please answer

Answers

B.

The line starts at the origin and goes down by two.

2.
.
X + 3
X + 18
X +4
X=

Answers

x = -1,-16,-2.

TIE FIGHTERS GO ZOOOOOOOM

Will Mark Brainliest to the smartest and best answer!!!!! What is the measure of each interior angle in a regular 24-gon? If necessary, round your answer to one decimal place. PLEASE SHOW ALL/FULL SOLUTIONS. THANK YOU AND GOD BLESS.....

Answers

Answer:

165°

Step-by-step explanation:

Use sum of internal angles formula 180°(n - 2)

For regular 24-gon it is:

180°(24-2) = 3960°

Each angle would be:

3960/24 = 165°

compare using >,= or <

e. 7.2 _ 7
f. -7.2 _ -7

Answers

Answer:

e. 7.2 > 7

f. -7.2 < -7

Step-by-step explanation:

Refer to number line

what are the first 100 digits of pi ([tex]\pi[/tex])?

Answers

Answer:

1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679

Answer:

3.14...

Step-by-step explanation:

3.14159265358979323846

Jamie receives 15% commission on magazine subscriptions. One week her sales totaled $860. What was her commission?

Answers

Given:

Jamie receives 15% commission on magazine subscriptions.

One week her sales totaled $860.

To find:

Her commission.

Solution:

We have,

Total sales of one week = $860

Rate of commission = 15%

Now,

[tex]Commission=\dfrac{15}{100}\times 860[/tex]

[tex]Commission=\dfrac{15}{10}\times 86[/tex]

[tex]Commission=\dfrac{1290}{10}[/tex]

[tex]Commission=129[/tex]

Therefore, the amount of commission is $129.

If there are 30 boys and 15 girls in the room fill out all the possible ratios of boys to girls that could be made

Answers

Answer:

All the possible ratios of boys to girls that could be made are:

30:15

10:5

6:3

2:1

Step-by-step explanation:

If there are 30 boys and 15 girls in the room

We have :

Boys : Girls

30 : 15

a) 30 : 15

Dividing through by 3

= 10:5

b) 30 : 15

Dividing through by 5

= 6:3

c) 30 : 15

Dividing through by 15

= 2:1

Hence:

All the possible ratios of boys to girls that could be made are:

30:15

10:5

6:3

2:1

Use the Zero Product Property to find the x-intercepts for x^2+6x=y

Answers

Answer:

[tex]x=0\ or\ x =-6[/tex]

Step-by-step explanation:

Given

[tex]x^2+6x=y[/tex]

Required

Determine the x intercepts

To get the x intercepts, we simply set y to 0

Substitute 0 for y;

[tex]x^2+6x=0[/tex]

Factorize:

[tex]x(x +6) = 0[/tex]

Apply zero product property

[tex]x=0\ or\ x + 6 =0[/tex]

[tex]x=0\ or\ x =-6[/tex]

BRAINLIEST IF ANSWERED CORRECTLY

5 x (12 + 24) x 5

add steps on how you figured this out for brainliest, thanks!

Answers

Answer:

90

Step-by-step explanation:

do parantheses first then work left to right outside of them

900 i think.............

SOMEBODY PLS HELP ASAPP!!!
A train car is in the shape of a right rectangular prism and has a volume of 540 cubic feet as shown.
feet
12 feet
What is the height of the train car?
A 10 feet
B. 12 feet
C 22.5 feet
D. 24 feet

Answers

Answer:

its c

Step-by-step explanation:

The table shows the relationship “Dental Assistants make 19 dollars per hour.”

Hours (h)
Dollars (d)
1
19
2
38
3
57
4
76
5
95

Which statements are correct? Check all that apply.
The variable d is the independent variable.
The variable h is the independent variable.
The number of hours worked causes a change in the number of dollars earned.
The variable d is the dependent variable.
The number of dollars earned causes a change in the number of hours worked.
The variable h is the dependent variable.
The more hours that are worked, the fewer dollars that are earned.

Answers

Answer:

The Answers Are:

B. The variable h is the independent variable.

C. The number of hours worked causes a change in the number of dollars earned.

D. The variable d is the dependent variable.

Step-by-step explanation:

As you can see on the picture, the more hours you work, the more dollars you get.

d=19h

The statement,B. The variable h is the independent variable. The number of hours worked causes a change in the number of dollars earned. The variable d is the dependent variable are correct.

We have the given options,

A.The variable d is the independent variable.

B. The variable h is the independent variable.

C. The number of hours worked causes a change in the number of dollars earned.

D. The variable d is the dependent variable.

Here d is dependent on hours,

What is the meaning of the independent variable?

In an experiment, any variable that can be attributed a value without attributing a value to any other variable is called an independent variable.

As you can see below, the more hours you work, the more dollars you get.

Hours        Dollars

1                   19

2                  38

3                  57

4                  76

5                  95

d=19h.

To learn ore about the variable visit:

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When x equals 4 what does y equal?
A. 1
B. 3
C. 2
D. 4​

Answers

When x equals 4 what does y equal?
A. 1
B. 3
C. 2
D. 4
Ans is D.4

Which one of the following reasons does NOT explain why 2x + 3y ≠ 5xy?

Answers

Answer:

Since 2 and 3 are factors, they should be multiplied to get 6xy.

Step-by-step explanation:

The solution is Option B.

Since 2 and 3 are factors, they should be multiplied to get 6xy and the equation is False

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

2x + 3y ≠ 5xy

a)

If you substitute 4 for x and 5 for y in the expression 2x+3y, it does not equal 5(4)(5)

Substituting the value of x = 4 and y = 5 in the equation , we get

2 ( 4 ) + 3 ( 5 ) ≠ 5 ( 4 ) ( 5 )

8 + 15 ≠ 100

23 ≠ 100

Therefore , the statement is True

b)

Since 2 and 3 are factors, they should be multiplied to get 6xy

2x ( 3y ) = 6xy

But the equation does not equals 6xy

Hence , the statement is False and does not explain the given equation

c)

x and y are not like terms

The statement is true because the variables x and y are not the same

Therefore , the statement is True

d)

Adding x and y is not the same as multiplying x and y

The value of the equation x + y = x + y and on multiplying x and y = xy

And , x + y ≠ xy

Therefore , the statement is True

Hence , the equation 2x ( 3y ) = 6xy is False

To learn more about equations click :

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given f(x)=17x-18, find x when f(x)=33

Answers

33=17x-18 add 18 both sides
51=17x. divide 17 both sides
3 = x

Which is the slope of the line that passes through the points (12, -6) and (12, 3)?

Answers

Answer:

use the slope equation: (y2-y1) / (x2-x1)

(3 -(-6) / (12-12) (plug in the values)

9/0 the slope is undefined anytime there's a denominator of 0

Step-by-step explanation:

I hope this helps :)

Answer:

Undefined

Step-by-step explanation:

Slope=y2-y1/x2-x1

3-(-6)=3+6

9

12-12=0

9/0 is undefined

According to Hinduism, which of the following is the supreme spiritual force?

Answers

Answer:

According to Hinduism, shiva is the supreme spiritual force

but u havent given option

While the correct answer SHOULD be Shiva, if you are doing this for Connexus, then the answer they teach and are seeking is Brahman.

6th grade math !!!!!!!!

Answers

I would think b or d I would prob say b not 100% hope this helps?

Answer:

Heyy, don't cheat on an online test

Step-by-step explanation:

find what b=_____
show work please​

Answers

b = 25 :)...................

The question is in the picture

- I really need this !! Thank you !!

Answers

Answer:

y=-1/5x+9

Step-by-step explanation:

-1/5x is the slope and 9 is y intercept

Given that a leg of a 45-45-90 triangle has a length of 5 feet, what is the length of the hypotenuse? (PLEASE HELP im timedd!!!)

Answers

Answer:

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

Step-by-step explanation:

Use the 45-45-90 triangle property. If the leg is x then the hypotenuse would be [tex]\sqrt{2}x[/tex]. Since x is 5, then the hypotenuse would be 5[tex]\sqrt{2\\}[/tex]

Find the 64th term of the arithmetic sequence 33, 25, 17, 9?

Answers

Answer: -467

I sure but not so sure but hoped it helped

Step-by-step explanation:

It’s decrease by 8 so do the formula

an= a + d(n−1).

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