Find the 13Th term of geometric sequence 1,2,4,

Answers

Answer 1

Answer:

a₁₃ = 4096

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 1 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{2}{1}[/tex] = 2 , then

a₁₃ = 1 × [tex]2^{12}[/tex] = 4096


Related Questions

Belinda eats 40 percent of the cake and Graham eats 25 percent of the remainder.
What is the mass of the cake left over?

Answers

Answer:

35%

Step-by-step explanation:

40%+25%=65%

100%-65%=35%

m% of n =

What is m% of n
please send steps

Answers

Answer:

m%(n)

Step-by-step explanation:

whenever the word "of" comes up in a math problem, it's going to mean to multiply.  This case is no exception.

m% of n = m%(n)

n=number

m=the percent number

Ex: m=25

n=315

plug the values into m%(n)

25%(315)

There are two different forms you can do to solve this expression.

fraction: 25/100(315)=7875/100=78.75

the reason why it would be 25/100 hundred is because, %=per cent.  Cent=100 and per would mean you would have to divide.

decimal: 0.25(315)=78.75

if 25% is 25/100 that means that 25 would be in the hundreths place in a decimal(0.ab)

helppppppp11111111111111111111111!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
will give brainliest

Answers

9514 1404 393

Answer:

2/3; (x, y) ⇒ (2/3x, 2/3y)1/2; (x, y) ⇒ (1/2x, 1/2y)7/8; (x, y) ⇒ (7/8x, 7/8y)1/4; (x, y) ⇒ (1/4x, 1/4y)

Step-by-step explanation:

For dilations about the origin, such as these, the scale factor is always the ratio of any image point coordinate* to the corresponding preimage point coordinate. If the scale factor is k, the transformation can be written as ...

  (x, y) ⇒ (kx, ky)

__

  S(9,12) ⇒ S'(6, 8) . . . . scale factor is 6/9 = 2/3; relation is (x, y) ⇒ (2/3x, 2/3y)

  U(8, 18) ⇒ U'(4, 9) . . . scale factor is 4/8 = 1/2; relation is (x, y) ⇒ (1/2x, 1/2y)

  I(0,8) ⇒ I'(0, 7) . . . scale factor is 7/8; relation is (x, y) ⇒ (7/8x, 7/8y)

  X(16, 8) ⇒ X'(4, 2) . . . scale factor is 2/8 = 1/4; relation is (x, y) ⇒ (1/4x, 1/4y)

_____

* The origin is the one invariant point in a dilation, so the chosen coordinate cannot be zero.

what is 281.4/10*0?

No steps needed just answer

Answers

Answer:

0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

-12/7z=48 pls help!!

Answers

i got 81.6
explination: if this is right, please mark me brainliest.
Times both side by 7
So then -12z=336
Divide by -12
Z=-28

ANSWER ASAP PLEZ I HAVE BEEN ON THESE QUESTIONS FOREVER AND PLEASE DONT JUST TAKE THE POINTS I REALLY NEED HELPPPPPPPPPPP :(

Answers

Answer: For #6, domain is {-3≤x<4}, range is {-3<y≤-1}

Step-by-step explanation: For #6 domain, the leftmost point on the graph is -3, with a closed circle. This means that x is greater than or equal to -3 (-3≤x). The rightmost point is 4, with an open circle, meaning that x is less than 4 (x<4). Put them together in the standard format, and you get {-3≤x<4}. Same principle for range; lowest point is -3, with an open circle (-3<y), and highest point is -1, with a closed circle (x≤-1). Result is {-3<y≤-1}.

I'm not sure whether you are a beginner at this or if it's just this one that you're stuck on, I hope my answer was sufficient.

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Answers

Answer:

x=3.6

Step-by-step explanation:

multiply 4 by 9 and then divide by 10

Answer:

x/4=9/10

x*10=9*4

x=(9*4)/10

X=3.6

5/2 x X =1 what’s the answer

Answers

Answer: X is 0.4

Explanation: I typed 5/2 x a bunch of random numbers and decimals on a calculator until I tried 0.4 and when I typed 5/2 x 0.4 on the calculator it said 5/2 x 0.4 = 1.

Answer:

3

Step-by-step explanation:

"Find a number which, when added to 3, yields 7"

may be written as:

3 + ? = 7, 3 + n = 7, 3 + x = 1

and so on, where the symbols ?, n, and x represent the number we want to find. We call such shorthand versions of stated problems equations, or symbolic sentences. Equations such as x + 3 = 7 are first-degree equations, since the variable has an exponent of 1. The terms to the left of an equals sign make up the left-hand member of the equation; those to the right make up the right-hand member. Thus, in the equation x + 3 = 7, the left-hand member is x + 3 and the right-hand member is 7.

SOLVING EQUATIONS

Equations may be true or false, just as word sentences may be true or false. The equation:

3 + x = 7

will be false if any number except 4 is substituted for the variable. The value of the variable for which the equation is true (4 in this example) is called the solution of the equation. We can determine whether or not a given number is a solution of a given equation by substituting the number in place of the variable and determining the truth or falsity of the result.

Example 1 Determine if the value 3 is a solution of the equation

4x - 2 = 3x + 1

Solution We substitute the value 3 for x in the equation and see if the left-hand member equals the right-hand member.

4(3) - 2 = 3(3) + 1

12 - 2 = 9 + 1

10 = 10

Ans. 3 is a solution.

Can someone help me pleaseeee

Answers

Answer:

-40

Step-by-step explanation:

An integer is any whole number, positive or negative. However, an integer cannot be a fraction. Since you have just spent $40, you have lost that amount, therefore making your number negative or -40.

Answer 40 - 20

Step-by-step explanation:

20 is he number

Suppose x, y and z are integers. Prove that, if 3x−y + 5z is even, then at least one of x, y or z is even.

Answers

Given:

x, y and z are integers.

To prove:

If [tex]3x-y+5z[/tex] is even, then at least one of x, y or z is even.

Solution:

We know that,

Product of two odd integers is always odd.          ...(i)

Difference of two odd integers is always even.          ...(ii)

Sum of an even integer and an odd integer is odd.      ...(iii)

Let as assume x, y and z all are odd, then [tex]3x-y+5z[/tex] is even.

[tex]3x[/tex] is always odd.          [Using (i)]

[tex]5z[/tex] is always odd.          [Using (i)]

[tex]3x-y[/tex] is always even.       [Using (ii)]

[tex](3x-y)+5z[/tex] is always odd.       [Using (iii)]

[tex]3x-y+5z[/tex] is always odd.

So, out assumption is incorrect.

Thus, at least one of x, y or z is even.

Hence proved.

what are the coordinates of the point on the directed line segment from (-4,10) to (2,-10) that partitions the segment into a ratio of 1 to 3

Answers

Answer:

(-5/2,5)

I hope it will be useful.

The coordinates of the point on the directed line segment that partitions the segment into a ratio of 1 to 3 is (1/2, -5).

What is the line segment?

In geometry, a line segment is a part of a line that is bounded by two end points, and contains every point on the line that is between end points.

Now the given coordinates are,

(-4,10) and (2,-10)

Thus, we have,

x₁  = -4

y₁ = 10

x₂ = 2

y₂ = -10

Given ratio, m₁ : m₂ = 1 : 3

⇒ m₁ =  1; m₂ =  3

Let (x,y) be the coordinates of the point on the directed line segment from (-4,10) to (2,-10) that partitions the segment into a ratio of 1 to 3.

Since the section formula is given as,

So, x = (m₁x₁ + m₂x₂) / (m₁ + m₂)  

y =  (m₁y₁ + m₂y₂) / (m₁ + m₂)  

Put the values,

x = [1(-4) + 3*2)] / (1 + 3) = (-4+6) / 4 = 2/4

⇒ x = 1/2

Similarly y = [1(10) + 3*(-10)] / (1 + 3) = (10-30) / 4 = -20/4

⇒ y = -5

So, the required coordinates are (1/2, -5)

Thus, the coordinates of the point on the directed line segment that partitions the segment into a ratio of 1 to 3 is (1/2, -5).

To learn more about line segment :

brainly.com/question/12774890

#SPJ2

PLEASE HELP WILL MARL BRAINLIEST!!!!!!!!

Answers

Answer:

c

Step-by-stepexplanation:

Answer:

i believe the answer is a

i'm not sure...........

hope its right

:)

what is 100,000 times 90

Answers

Answer:

9000000

Step-by-step explanation:

9000000 is the answer you could use caculator

Simplify the expression:
10h - 4h=

Answers

6h is your answer :)

Answer:

6h=

Step-by-step explanation:

You have to combine the terms the way they are supposed to be

1/3x-2=16 solve the equation

Answers

Answer: x= 1/54
Explained: easy mental math :p

Answer:

x=54

Step-by-step explanation:

1/3 x 54 = 18, 18 - 2 = 16

:)

O is the centre of the circle and ABC and EDC are rangers to the circle. Find the side of angle BCD. You must give reason in your answer. (4marks)PLZZZZZZ HELP!!

Answers

Every line from the tangent to the centre is 90°. This is said in the circle theorems.

So angle OBC and ODC are 90°.

angle O is twice the size of angle F. This is another circle theorem.

Therefore angle O is 152°.

The quadrilateral of ODBC would equal to 360°. Which means 90° + 90° + 152° = 332°

360° - 332° = 28°.

The answer is 28°

Answer:

∠BCD = 28°

Step-by-step explanation:

arc BD = 2 x inscribed angle ∠BFD = 2 x 76 = 152

arc BFE = 360 - arc BD = 360 - 152 = 208

tangent-tangent angle ∠BCD = (arc BFE - arc BD)/2 = (208 - 152)/2 = 28

I WILL GIVE BRANLISTY HELP I HAVE A F


WHAT ARE THE INCHES AND CENTIMETERS OF THIS SQUARE AND GIVE REASON

Answers

Answer:

dude what type of question is this

Mr. Nguyen bout a package of 3 chicken legs and a package of 7 chicken wings. Ms. Dawes brought a package of 6 chicken wings. Mr. Nguyen bought 45 ounces of chicken. How much did each chicken leg and each chicken wing weigh?

Answers

Complete Question

Mr. Nguyen bought a package of 3 chicken legs and a package of 7 chicken wings. Ms. Dawes bought a package of 3 chicken legs and a package of 6 chicken wings. Mr. Nguyen bought 45 ounces of chicken. Ms. Dawes bought 42 ounces of chicken. How much did each chicken leg and each chicken wing weigh?​

Answer:

Weight of Chicken leg = x = 8 ounces

Weight of Chicken wing = y = 3 ounces

Step-by-step explanation:

Let us represent

Weight of Chicken leg = x

Weight of Chicken wing = y

Mr. Nguyen bought a package of 3 chicken legs and a package of 7 chicken wings.Mr. Nguyen bought 45 ounces of chicken.

3x + 7y = 45 ounces.... Equation 1

Ms. Dawes bought a package of 3 chicken legs and a package of 6 chicken wings. Ms. Dawes bought 42 ounces of chicken.

3x + 6y = 42 ounces... Equation 2

Combining both Equations together we solve by Elimination method

3x + 7y = 45.... Equation 1

3x + 6y = 42... Equation 2

We eliminate x by subtracting Equation 2 from Equation 1

Hence:

y = 3 ounces

Solving for x

3x + 6y = 42 ounces... Equation 2

3x +6(3) = 42 ounces

3x + 18 = 42 ounces

3x =( 42 - 18) ounces

3x = 24 ounces

x = 24 ounces/3

x = 8 ounces

Hence:

Weight of Chicken leg = x = 8 ounces

Weight of Chicken wing = y = 3 ounces

Answer:

chicken leg- 8 oz

chicken wing- 3 oz

Step-by-step explanation:

The points in the table lie on a line. What is the slope of the line?

Answers

8-1 divided by -8--2

Which is -7/6

Answer:

slope = - [tex]\frac{7}{6}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 8, 8) and (x₂, y₂ ) = (4, - 6) ← 2 ordered pairs from the table

m = [tex]\frac{-6-8}{4+8}[/tex] = [tex]\frac{-14}{12}[/tex] = - [tex]\frac{7}{6}[/tex]

You forgot the zero in your answer. So your answer would be 0.95

Answers

Answer:

yes

Step-by-step explanation:

Answer:

I'm confused

Step-by-step explanation:

What are the zeros of this function? Circle them on the graph.

Answers

Given:

The graph of a function.

To find:

The zeros of this function on the graph.

Solution:

We know that, zeros are the values at which the values of the function is 0. It means, the points where the graph of function intersect the x-axis are know as zeros of the function.

From the given graph it is clear that, the graph intersect the x-axis at two points.

Therefore, the marked points on the below graph are the zeros of the function.

The principal amount, $5500, earns 3.75% interest compounded continuously.

a. Write the function that represents the value of the account at any time, t.

b. What will the value be after 6 years?

Answers

Answer:

a)

The function that represents the value of the account at any time, t

[tex]\:\:A=Pe^{rt}[/tex]

b)

The total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 5,500.00 at a rate of 3.75% per year  compounded continuously  over 6 years is $ 6,887.77.

Step-by-step explanation:

a. Write the function that represents the value of the account at any time, t.

The function that represents the value of the account at any time, t

[tex]\:\:A=Pe^{rt}[/tex]

where

A represents the Future Value

P represents the Principle (Initial Value)

r represents the Interest rate

t represents the time

b) What will the value be after 6 years?

Given

The principal amount  P = $5500

Annual Rate r = 3.75% = 3.75/100 = 0.0375

Time Period  t  = 6 years

To Determine:

The total amount A = ?

Using the formula

[tex]\:\:A=Pe^{rt}[/tex]

substituting the values

[tex]A\:=\:5500\left(2.71828\right)^{\left(0.0375\right)\left(6\right)}[/tex]

[tex]A=5500\cdot \:2.71828^{0.225}[/tex]

[tex]A = $ 6,887.77[/tex] $

Therefore, the total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 5,500.00 at a rate of 3.75% per year  compounded continuously  over 6 years is $ 6,887.77.

Please help!! This is super important!!

Answers

Answer:

tell me the choices so i can help you............

simplify root 2 divided by root 5 + root 3 by Rationalising in the denominator​

Answers

Answer:

root4 by 2

Step-by-step explanation:

multiply the whole no with root5-root3 up and down also

3x + 4y = –20
6x + 5y = –7

Answers

Answer:

x = 8

y = -11

Step-by-step explanation:

In this question, we have to find out the value of "x" and "y".

Solve:

Lets solve for y first.

-2(3x + 4y = -20)

6x + 5y = -7

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

-6x - 8y = 40

6x + 5y = -7

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

-3y = 33

Divide both sides by -3

y = -11

We now know what the value of "y" is, now we must find the value of x. To do this, we would plug -11 to "y" in one of our equations.

Solve for x:

3x + 4y = -20

3x + 4(-11) = -20

3x - 44 = -20

Add 44 to both sides.

3x = 24

Divide both sides by 3

x = 8

Now we know that our answer are:

x = 8

y = -11

Given that f(x) = x^2 – 2x - 63 and g(x) = x + 7, find (f - g)(x)

Answers

Answer:

(f - g)(x) = x² - 3x - 70

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = x² - 2x - 63

g(x) = x + 7

(f - g)(x) is f(x) - g(x)

Step 2: Find (f - g)(x)

Substitute:                               (f - g)(x) = x² - 2x - 63 - (x + 7)Distribute -1:                            (f - g)(x) = x² - 2x - 63 - x - 7Combine like terms (x):          (f - g)(x) = x² - 3x - 63 - 7Combine like terms (Z):          (f - g)(x) = x² - 3x - 70

Simplify fully
16x²y2 over 4xy

Answers

Answer:

[tex]4xy[/tex]

Step-by-step explanation:

[tex] \frac{16 {x}^{2} {y}^{2} }{4xy} [/tex]

[tex]4 {x}^{2 - 1} {y}^{2 - 1} [/tex]

[tex]4xy[/tex]

Dilate the the triangle, scale factor = 3 (positive 3, ignore the
negative in the image below) with a center of dilation about
the origin.
A(-7,-6)
B(-5,-2)
C(-1,-5)

Answers

Answer:

The rule of dilation is [tex]P'(x,y) = 3\cdot P(x,y)[/tex].

The vertices of the dilated triangle are [tex]A'(x,y) = (-21, -18)[/tex], [tex]B'(x,y) = (-15,-10)[/tex] and [tex]C'(x,y) = (-3,-15)[/tex], respectively.

Step-by-step explanation:

From Linear Algebra, we define the dilation by the following definition:

[tex]P'(x,y) = O(x,y) + k\cdot[P(x,y)-O(x,y)][/tex] (1)

Where:

[tex]O(x,y)[/tex] - Center of dilation, dimensionless.

[tex]k[/tex] - Scale factor, dimensionless.

[tex]P(x,y)[/tex] - Original point, dimensionless.

[tex]P'(x,y)[/tex] - Dilated point, dimensionless.

If we know that [tex]O(x,y) = (0,0)[/tex], [tex]k = 3[/tex], [tex]A(x,y) = (-7,-6)[/tex], [tex]B(x,y) = (-5,-2)[/tex] and [tex]C(x,y) =(-1,-5)[/tex], then dilated points of triangle ABC are, respectively:

[tex]A'(x,y) = O(x,y) + k\cdot [A(x,y)-O(x,y)][/tex] (2)

[tex]A'(x,y) = (0,0) + 3\cdot [(-7,-6)-(0,0)][/tex]

[tex]A'(x,y) = (-21, -18)[/tex]

[tex]B'(x,y) = O(x,y) + k\cdot [B(x,y)-O(x,y)][/tex] (3)

[tex]B'(x,y) = (0,0) + 3\cdot [(-5,-2)-(0,0)][/tex]

[tex]B'(x,y) = (-15,-10)[/tex]

[tex]C'(x,y) = O(x,y) + k\cdot [C(x,y)-O(x,y)][/tex] (4)

[tex]C'(x,y) = (0,0) +3\cdot [(-1,-5)-(0,0)][/tex]

[tex]C'(x,y) = (-3,-15)[/tex]

The rule of dilation is:

[tex]P'(x,y) = 3\cdot P(x,y)[/tex] (5)

The vertices of the dilated triangle are [tex]A'(x,y) = (-21, -18)[/tex], [tex]B'(x,y) = (-15,-10)[/tex] and [tex]C'(x,y) = (-3,-15)[/tex], respectively.

Figure A is dilated to create A'. 5 in 3 in Figure A Figure A 10 in 6 in Which rule best represents the dilation that was applied to figure A? A. (x, y) (5x, 3y) B. (x, y) - (x, yl C. (x,y) - (x, y) D. (x, y) - (0.6x, 0.6y)​

Answers

Answer:

A does

Step-by-step explanation:

5+3+10+6=24x56310B=A+B=A

How are the quotients shown below related?



− 30 ÷ 6 and 30 ÷ (− 6)



Part B. Will they have the same answer? Why or why not?

Answers

Answer:

the quotient of -30/6 and 30/ -6 are same ie. -5, because if the numerator or denominator is negative the quotient will be negative.

hope it helps!

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