what is the explicit formula cor ths geometric sequence 224,112,56,28​

Answers

Answer 1
Answer:

a_n=224(1/2)^n-1


Related Questions

Use mathematical induction to prove that, for n ≥ 1, n³ – n is divisible by 3.

Answers

Answer:

Step-by-step explanation:

a cubic function has the following properties
f'(1)=0
f'(3)=0 = f(3)=0
f(0) =0
f'(2)>0
Draw a rough sketch of f​

Answers

There you go, this is the answer to your question it was very easy think next time

For the equations given below, which statement is true?

-3x-8+19
-3x-2=25

A. The equations have the same solution because the second equation can be obtained by subtracting 6 from both sides of the first equation.

B. The equations do not have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.

C. The equations have the same solution because the second equation can be obtained by subtracting 19 from both sides of the first equation.

D. The equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.

Answers

If the equations are the same then the solution will be the same. Then the correct option is D.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The linear equations are given below.

-3x - 8 = 19 ...1

-3x - 2 = 25 ...2

Adding 6 on both sides in equation 1, then we have

-3x + 6 - 8 = 19 + 6

     -3x - 2 = 25

The equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.

If the equations are the same then the solution will be the same.

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Every variable has a coefficient. That’s the number it is multiplied by. According to mathematical convention, coefficients always go in front of their variable. If there is no number in front of a variable in an expression, the coefficient is 1 since the product of any number and 1 is that number. In expressions, operations can be applied directly to a variable. Here are some examples: What is the coefficient of the variable in the expression ½ + v - 3?

Answers

Answer:

1

Step-by-step explanation:

Answer:

There is only 1 variable and it is v.

There is no coefficient.

That means the coefficient is 1.  

The coefficient of the variable in the expression ½ + v - 3 is [tex]\frac{1}{2}[/tex]

What is the coefficient

In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression (including variables such as a, b, and c). When the coefficients are themselves variables, they may also be called parameters.

Given that,

[tex]\frac{1}{2}[/tex] is the coefficient

[tex]v[/tex] is the variable

[tex]3[/tex] is the constant

Therefore, The coefficient of the variable in the expression ½ + v - 3 is [tex]\frac{1}{2}[/tex]

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Given that A, O & B lie on a straight line segment, evaluate obtuse ∠AOC.

The diagram is not drawn to scale.


∠AOC=

Answers

Answer:

AOC = 124°

Step-by-step explanation:

Angle on a straight line is 180°, therefore, the sum of the three angles shown is 180;

This can be written like so:

(3x + 94) + (x + 30) + (2x - 4) = 180

This equation can be solved to find x:

6x + 120 = 180

6x = 180 - 120

6x = 60

x = 10

AOC = 3(10) + 94

= 30 + 94

= 124

Answer:

angle AOC = 124

Step-by-step explanation:

3x + 94 + x + 30 + 2x - 4 = 180 ( ^'s on a STR line)

6x = 180 - 120

6x = 60

x = 10

sub x into 3x + 94

3(10) + 94 = 124

Matthew had to make a bridge for his math class. It had to be at least 1 1/2 feet long. Harold made a bridge that was 2 1/3 times as long as Matthew’s. What equation would you use to find out how long Harold’s bridge is? please help

Answers

The equation used for finding the length of Harold's bridge will be [tex]3H-7M=0[/tex] and  Length will be H = [tex]\dfrac{7}{2}[/tex]

What is an equation?

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Here we have the following data:-

Matthew's bridge length is  [tex]=1\dfrac{1}{2}=\dfrac{3}{2}[/tex]

Now we have that Harold made a bridge that was 2 1/3 times as long as Matthew’s. From this data the equation will be:-

[tex]H=2\dfrac{1}{3}M\\\\\\H-\dfrac{7}{3}=0\\\\\\3H-7M=0\\\\\\3H-\dfrac{(7\times 3)}{2}=0\\\\\\H=\dfrac{7}{2}[/tex]

Hence the equation used for finding the length of Harold's bridge will be [tex]3H-7M=0[/tex] and  Length will be H = [tex]\dfrac{7}{2}[/tex]

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37/16 as a decimal rounded to the nearest tenth

Answers

Answer:

2.3

CAN I GET BRAINLIEST PLEASE

Step-by-step explanation:

Answer:

2.3.

Step-by-step explanation:

We know that:

the fraction is 37/16

What we DON'T know is:

the decimal of 37/16.

Solve for the decimal:

37/16= 2.3 (Can't find my explanation).

Answer is 2.3.

r= 8.4 in
Calculate the diameter of the
circle.

Answers

Answer:

The diameter is 16.8

Step-by-step explanation:

The diameter is double the radius.

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{Question:-}}}[/tex]

       r=8.4 in. What is the circle's diameter?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

Since the radius is exactly one-half of the diameter, we multiply the radius times 2 in order to find the diameter, which results in:-

d(diameter)=16.8 in

Good luck with your studies.

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

Find the value of sin E rounded to the nearest hundredth, if necessary.

Answers

Answer:

Step-by-step explanation:

using sin formula

[tex]\frac{sin~E}{15} =\frac{sin ~90}{39} \\sin ~E=15 \times ~\frac{1}{39} =\frac{5}{13}[/tex]

find the answer of given photo

Answers

The skewness of the plot is positive skewness, and the equation of the regression line is y = -0.052x + 2.706

The mean, standard deviation, min, max, etc.

To do this, we make use of the following data values

15, 16, 16, 17, 17, 17, 20, 22, 22, 30

The mean is calculated using:

Mean = Sum/Count

So, we have:

Mean = (15+ 16+ 16+ 17+ 17+ 17+ 20+ 22+ 22+30)/10

Evaluate

Mean = 19.2

Using a graphing calculator, we have:

Standard Deviation, σ = 4.30

The min and the max are:

Min = 15

Max = 30

See attachment for the histogram.

From the attached histogram, we can see that the skewness of the plot is positive skewness

The percentage area between min and max expenses.

The min and the max values are the range of the normal plot.

So, the percentage area between these values is 100%

Inspect three samples

Let the three samples be

16, 17, and 30

The sample mean is:

Mean = Sum/Count

So, we have:

Mean = (16 + 17 + 30)/3

Evaluate

Mean = 21

The sample mean is different from the population mean

Since the means are not equal, then we fail to accept the Null hypothesis.

The correlation coefficient

To do this, we make use of a graphing calculator with the following calculation summary:

X Values

∑ = 120Mean = 20∑(X - Mx)2 = SSx = 154

Y Values

∑ = 10Mean = 1.667∑(Y - My)2 = SSy = 3.333

X and Y Combined

N = 6∑(X - Mx)(Y - My) = -8

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = -8 / √((154)(3.333)) = -0.3531

The correlation coefficient -0.3531 means that there is a negative correlation between the data values

The equation of the Regression line

To do this, we make use of a graphing calculator with the following calculation summary:

b = SP/SSX = -8/154 = -0.05195a = MY - bMX = 1.67 - (-0.05*20) = 2.70563

So, we have:

y = -0.052x + 2.706

Hence, the equation of the regression line is y = -0.052x + 2.706

See attachment 2 for the scatter plot.

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Given the following equation, what is the slope of the linear function?

Answers

Answer:

2/3

Step-by-step explanation:

The slope sits next to the x in the slope-intercept equation, y=mx+b. Slope is the m. In the equation in the problem y=2/3x-2.

The slope is 2/3.

a classmate states that if the radius of a circle is doubled, then its area is doubled. do you agree or disagree? if you disagree, how much larger do you think the area will be?

Answers

Answer:

yes

the area of a circle is πr^2

A=πr^2

which means the area of a circle is dependent on the size of the radius of the circle.

Take for instance, the radius is 3cm and π= 3.142

A = 3.142×(3^2)

A = 28.278cm^2

Another example, if the radius of the circle is increased to 4cm, what will be the area.

A = 3.142×(4^2)

A = 50.272cm^2


A quadrilateral with vertices at A(4,-4), B(4, -16), C(12, -16), and D(12, -4) has been dilated with a center at the
origin. The image of D, point D', has coordinates (36, -12). What is the scale factor of the dilation?

1/9

1/3

3

9

Answers

Using translation concepts, it is found that the scale factor of the dilation is of 3.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, considering point D and it's image, the following translation happened:

(12, -4) -> (36, -12).

In general terms, we have that:

(x,y) -> (3x, 3y).

Hence the scale factor is of 3.

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find the value of x. Cos(67°) = x/1​

Answers

Answer:

The value of cos 67° is equal to the x- cordinate ( 0.3907 ). therefore, cos 67° = 0.3907

Shreya has 40 pairs of shoes stacked inboxes.
If a pair is 2 shoes, how many shoes does Shreya have?

Answers

Answer:

it's either 20 or 80..

Answer:

80 shoes

Step-by-step explanation:

40×2

Find the location of G, the midpoint of FH.

Answers

The coordinate of G is (3,6.5).

What is Section Formula?

When a point on a line segment divides it into two segments, the formula used to determine the coordinates of that point is known as the section formula.

The Coordinate of F is (1, 7)

The Coordinate of H is (5,6)

Since G is the midpoint. So, it divides the line FH in 1:1 part

Let coordinates of G be (x, y)

Now using Section Formula,

[tex]x= \frac{1*1+1*5}{2} \;\;\; and \;y= \frac{1*7+1*6}{2}[/tex]

x= 3 and y = 6.5

Hence the coordinate of G is (3,6.5)

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John plots the point with the polar coordinates (3,5π6).

How does he plot this point?

Drag a value or phrase into each box to correctly complete the statements.
John first determines which line the angle of rotation places the point on. This line tells John that the point must lie in if r is positive or Response area if r is negative.

The radius of 3 tells John that the point lies on the third circle of the polar plane. The value of r is positive. Therefore, the point will lie Response area the angle of rotation.

Answers

This line tells John that the point must lie in Quadrant 1 if r is positive or Quadrant 2 if r is negative. Therefore, the point will lie Quadrant 3 or 4 the angle of rotation.

How to find Polar Coordinates?

Step 1; John will start plotting the point by first of all seeing the sign of the radius and the value of the given angle.

Step 2; John will make a circle of the given radius, and plot the point at an angle given as a coordinate on the circle.

If r is positive, then the point will lie in Quadrant 1 or 2. However, If r is negative, then the point will lie in Quadrant 3 or 4.

In case r is positive, the point will lie in the same quadrant as the angle of rotation.

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!!!!HELPPPP!!!! if cos theta = - square root 3 over 2 and pi < theta < 3 pi over 2, what are the values of sin theta and tan theta?

will mark Brainliest for correct answers .

i’m in a final pls help

Answers

Answer:

Option 4

Step-by-step explanation:

In Quadrant IV,

tan = +vecos = -vesin = -ve

If cosθ = -√3/2, then :

sinθ = -1/2tanθ = √3/3

A baker is making cakes for a big party. She uses 1/4 cup of oil for each cake. How many cakes can she make if she has a bottle of oil that has 6 cups in it? PRITTY PLEASE HELP!!! NOW (ASAP)

Answers

Answer:

24 Cups

Step-by-step explanation:

you just need to divide 6 by 1/4, whihc equals 24/1

i need help with 7th grade math please 45 points need help ASAP + brainleist

Answers

Answer:

Area = 601.8760801 ft^2

Step-by-step explanation:

Area of Rectangle: Area = Length* Height

Area of a Semi-Circle = π*r^2 /2

Area of Rectangle: Area = 14 * 21 = 294 ft^2

Area of a Semi-Circle = π * 14^2 / 2 = π * 196/2 = π * 98 ft^2

Add the Two Area: 294 ft^2 + 98π ft^2 = 601.8760801 ft^2

Answer:

77.98 ft

Step-by-step explanation:

Perimeter :

2(21) + 14 + 3.14 x 742 + 14 + 21.9856 + 21.9877.98 ft

What is the next step to solve the equation 5y 3x15 for y?​

Answers

Answer:y will be 45 then Multiply 45x3 which equals 135. Then add 135+62 and get your awnser.

Step-by-step explanation:

A car cover a distance 300 miter in 50 second How much distance a car covers in 1 second​

Answers

Divide total distance by total seconds:

300 meters / 50 seconds = 6 meters per second.


Answer: 6 meters

Pls answer
100 points!
what is the effect on the graph of the function f(x)= x^2 when f(x) is changed to f( x - 6)

Shifted up
shifted left
shifted right
shifted down

Answers

Find shift

f(x-6)

(x-6)²

So

f(x)=x²

x is decreased 6 units

So

The graph will shift 6 units right

Graph attached

Answer:

shifted right

Step-by-step explanation:

Translations

For [tex]a > 0[/tex]

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

Parent function:  [tex]f(x)=x^2[/tex]

Translated 6 units to the right:  [tex]f(x-6)=(x-6)^2[/tex]

x–23=17 solving the following equation

Answers

Answer:

X=42

Step-by-step explanation: x-23=17 you would do the inverse of subtracting which would be addition which would be 23+17 which equals  42

Billy purchased $100$ shirts at a cost of $\$15$ each and planned to resell them. The first week he sold some of them for $\$25$ each. The second week he sold the rest for $\$20$ each. If his total profit was $\$600$, how many shirts did he sell the first week?

Answers

Answer:

Let the number of shirts he sold the first week = x    and the number sold the second week = 100 - x

So we have      

[Sales] - [Cost] = Profit

[25x + 20(100 - x)] - [15 * 100]  = 600     simplify

25x + 2000 - 20x - 1500 = 600

5x + 500  = 600      subtract 500 from both sides

5x = 100          divide both sides by 5

x = 20 =   the number of shirts sold the first week

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Let x = number of shirts sold in Week 1

Let y = number of shirts sold in Week 2

Profit = Selling price - cost price

If Billy purchased the shirts at a cost of $15 each, then

Week 1:  Profit per shirt = $25 - $15 = $10Week 2:  Profit per shirt = $20 - $15 = $5

Equation 1

Total of 100 shirts purchased:

⇒ x + y = 100

Equation 2

Total profit of $600:

⇒ 10x + 5y = 600

Rewrite Equation 1 to make y the subject:

⇒ y = 100 - x

Substitute this into Equation 2 and solve for x:

⇒ 10x + 5(100 - x) = 600

⇒ 10x + 500 - 5x = 600

⇒ 10x - 5x + 500 = 600

⇒ 5x + 500 = 600

⇒ 5x = 600 - 500

⇒ 5x = 100

⇒ x = 100 ÷ 5

⇒ x = 20

Therefore, Billy sold 20 shirts in his first week.

Solve the radical equation.
X+4=√x+10
What is the extraneous solution to the radical equation?
O The solution -1 is an extraneous solution.
O Both -1 and -6 are true solutions.
O The solution -6 is an extraneous solution.
O Neither -1 nor -6 is a true solution to the equation.
The answer is c

Answers

Step-by-step explanation:

that kind of wording is always misleading.

please give my regards and comments to your teacher.

a square root has ALWAYS 2 solutions : a positive AND a negative one.

in that sense the negative solution to a square root is NOT an extraneous solution.

only any value of x < -10 (to make the argument of the square root negative) as solution would be extraneous.

so, if your teacher wants to say that only the positive solutions of a square root are allowed, it has to be said as an extra definition or by applying the "+" sign to the square root.

so,

x + 4 = sqrt(x + 10)

since the 2 solutions are already given to us, we only need to use them in the equation and see what happens.

x = -1

-1 + 4 = sqrt(-1 + 10)

3 = sqrt(9) = 3 (actually, it is ±3)

so, x = -1 is a real solution.

x = -6

-6 + 4 = sqrt(-6 + 10)

-2 = sqrt(4) = 2 (actually, it is ±2)

so, based on your teacher's expectation of only positive results of the square root (even though it was not stated),

x = -6 is an extraneous solution.

therefore, the third answer (c) is the "correct" answer.

but actually, formally, the second answer (b) is the truly correct answer.

Ammaar put 4/7 of the money he earned raking leaves in the bank. He spent 1/3 of the money on a book.
Create an expression with common denominators that can be used to find the difference between the fraction of money Ammaar put in the bank and the fraction he spent on the book

Answer for grade 6 pls

Answers

The expression that can be use to find the difference between the fraction of money Amar put in the bank and the fraction he spent on the book is 4 / 7 x - 1 / 3 x

How to create an expression?

Amar put 4/7 of the money he earned raking leaves in the bank. Therefore,

let the money she earned = x

Hence,

amount put in bank = 4 / 7 x

She spent 1 / 3 of the money on books. Therefore,

money spent on books = 1 / 3 x

Therefore, the expression that can be use to find the difference between the fraction of money Amar put in the bank and the fraction he spent on the book is as follow:

4 / 7 x - 1 / 3 x

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A frame contains 4 pounds of gold. Suppose gold is worth $1277 per ounce. How much would the gold in the frame be worth?

Answers

Answer:

81728

Step-by-step explanation:

1 libra tiene 16onz, entonces 16 onz* 1277 dolares =20432*4=81728  

How do you do this?

Answers

Answer:

you will have to get a protractor and angle side right

The product of two consecutive positive even numbers is 960. What are the numbers?

Answers

30 x 32 = 960
Consecutive positive even numbers
I found it by finding the square root and using that (30.98) as my midline to try numbers near it.
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