14th term of geometric sequence 10,20,40

Answers

Answer 1
Answer: 81920


Explanation: The general formula for nth term in a geometric sequence is an=a1*r^(n-1), where a1 is the first term, r is the common ratio, and n is the position in the term (in this case 14).

To find the common ratio, we can simply divide the next term after the first (20/2=10).

So, an=10*2^(14-1).

After doing the parentheses and multiplication, we have 20^13, which is 81920.

Related Questions

pls help me 19 POINTS

Answers

Answer:

x=10

Step-by-step explanation:

x-4=6

To isolate x, you can add 4 to both sides of the equation:

x-4+4=6+4

x=10

Hope this helps!

Step-by-step explanation:

x=10

Solve the following system. x squared / 25 + y squared / 100 = 1 x squared + y squared = 25

Answers

Answer :

[tex] \frac{1}{100} (4 {x}^{2} + {y}^{2} )[/tex]

[tex] \frac{dy}{dx} = \frac{ - x}{y} [/tex]

sum interior of polygon help!

Answers

540 degree = interior angles

Answer:

180

Step-by-step explanation:

Find the 19th term of this Geometric Sequence: 3, 6, 12, 24, 48, 96, ........ *

Answers

Answer:

786432

Step-by-step explanation:keep multipying it by 2 stupid

The 19th term of the given geometric sequence is 786432.

Important information:

Geometric Sequence: 3, 6, 12, 24, 48, 96, .... .Geometric Sequence:

The nth term of a geometric sequence is:

[tex]a_n=ar^{n-1}[/tex]        ...(i)

Where a is the first term and r is the common ratio.

In the given geometric sequence, [tex]a=3[/tex] and [tex]r=\frac{6}{3}=2[/tex].

Substitute [tex]a=3,r=2,n=19[/tex] in (i) to find the 19th term.

[tex]a_{19}=3(2)^{19-1}[/tex]

[tex]a_{19}=3(2)^{18}[/tex]

[tex]a_{19}=3(262144)[/tex]

[tex]a_{19}=786432[/tex]

Therefore, the 19th term of the given geometric sequence is 786432.

Find out more about 'Geometric Sequence' here:

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Complete the recursive formula of the geometric sequence-0.56,-5.6,-56,-560

Answers

-5600
A geometric sequences is when the previous term is used to find the next. In this case you multiply 10 to the previous term to find the next giving u -5600

The full recursive formula can be defined by these two parts

[tex]\begin{cases}a_1 = -0.56\\ a_n = 10*a_{n-1}\end{cases}[/tex]

The top part tells us the first term is -0.56, while the second part says to get each new term we multiply the prior term by 10

second term = 10*(first term) = 10*(-0.56) = -5.6

third term = 10*(second term) = 10*(-5.6) = -56

etc etc

find the area of a circle

Answers

Answer:

the area is 28.2

Step-by-step explanation:

28.27433388

Answer: hello this its 28.27433388

thats what i got

Step-by-step explanation:

can someone help me solve this

Answers

Answer:

option 3

Step-by-step explanation:

[tex](\sqrt[3]{8})^{\frac{1}{4}x}=(8^{\frac{1}{3}})^{\frac{1}{4}x}\\\\=8^{\frac{1}{3}*\frac{1}{4}x}\\\\=8^{\frac{1}{12}x}\\\\=\sqrt[12]{8}^{x}[/tex]

Is the opción 3 that’s the correct answer...

I need help please! I’m really confused about it

Answers

The answer is 1 and 3

Select the correct answer. This graph represents a quadratic function. What is the value of a in this function’s equation? A)-1 B)2 C)1 D)-2

Answers

Answer:

Step-by-step explanation:

We will use the work form of a quadratic to determine what a is...in fact we will write the equation for the whole thing in the process, because it's part of solving for a.

y = ±|a|(x - h)² + k

where x and y are from a coordinate point on the graph, h and k are the coordinates of the vertex, the absolute value of a indicates how steep or flat the graph is compared to the parent graph, and the ± is because a positive parabola opens up and a negative one opens upside down.

The vertex is (0, 9) and the coordinate point I chose to use is (3, 0). Filling those in and solving for a:

0 = ±|a|(3 - 0)² + 9 and

0 = ±|a|(3)² + 9 and

-9 = ±|a|9 and

-1 = ±|a| so a = 1. Because this is an upside down parabola the negative is out front, but a is independent of it. The correct choice is C. The quadratic function is

[tex]y=-x^2+9[/tex] or in more detailed form:

[tex]y=-(x-0)^2+9[/tex]

Answer:

-2

Step-by-step explanation:

What is the value of x?
20
35
60
70
HURRY PLEASE!!!!


Answers

Answer: 20

Step-by-step explanation:

Since these are vertical angles, they are equal to each other.

x+40=3x

40=2x

x=20

The relationship between two variables a and b is proportional. When a is 3, b is 25.5. Write an equation to represent this relation.

Answers

Answer:

y = 8.5x

Step-by-step explanation:

A proportional relation in one in which change of value of y with respect to change of value of x remains proportional. It can be represented by equation

y = kx, where k is constant of proportionality

________________________________________________

Let  the  relation be

y = kx

but we have a as 3 and b as 25.5

thus

substituting value of and a and b in y = kx , we have

25.5 = k*3

=> k = 25.5/3 = 8.5

Thus, equation which can represent this relation is y = 8.5x

Visualise 3.45 bar up to 3 places of decimal

Answers

Answer:

That would be 3.455

Step-by-step explanation:

3.45 bar means the 45 at the back is repetitive.

So we have something like;

3.454545454

Now writing this to three decimal places becomes 3.455

(2x -2)^-3
can anyone help me with this?​

Answers

Answer: See below

Step-by-step explanation:

When you see that something is to the power of a negative number, it is another way of saying 1 over.

[tex](2x-2)^-^3=\frac{1}{(2x-2)^3} =\frac{1}{(2x-2)(4x^2-8x+4)} =\frac{1}{8x^3-8x^2+8x-8}[/tex]

help..................

Answers

Answer:

D

Step-by-step explanation:

Let's say we're translating the origin, (0, 0) left 6 units and up 4 units. We would get ( -6, 4), which is (x - 6, y + 4), which is D

A bag contains 10 red pens, 15 blue pens, and 20 black pens. Joseph will pull a pen from the bag.
When Joseph pulls a pen from the bag, how many outcomes are possible?

A) 45
B) 10
C) 20
D) 15

Answers

Answer:

45 different outcomes

Step-by-step explanation:

There are 10+15+20 = 45 pens in the bag

Since he is pulling one pen,  and there are 45 different pens in the bag, there are 45 different outcomes

Answer:

45 fsfs

Step-by-step explanation:

i just took a test and got it right

urgent please help me!!!!

Answers

Answer:

D. both lines

Step-by-step explanation:

I am 100% sure! Please give brainiest!!!

what is the solution of equations graphed below?
A. (2,4)
B. (4,2)
C. (0,6)
D. (6,0)​

Answers

Answer:

(4,2)

Step-by-step explanation:

The solution to the system is where the two graphs overlap

The two graphs cross at x=4 y =2

(4,2)

Answer & Step-by-step explanation:

To find the solution of equations graphed on a line, the solution is going to be the point where the two lines meet or cross.

So, in the diagram, we can see that the equations do cross at a certain point. This point is (4,2).

So, the solution of the equations graphed is (4,2)

Find the slope of the line that passes through (6, 15) and (10, 10).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

m=-5/4

Step-by-step explanation:

the slope is always defined as "the change in y over the change in x" m= y2-y1/x2-x1

Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!!!

Answers

Answer:

Y=x^2+8

Step-by-step explanation:

Please help! Correct answer only! I've been stuck on this question for hours and I need to finish this assignment before tomorrow.

In a raffle, one ticket out of 500 will win a $390 prize, three tickets will win a $230 prize, and sixteen tickets will win a $170 prize. The remaining tickets will win nothing. If you have a ticket, what is the expected payoff?

Answers

The first question was answered on another page.

As for your second question, you are unfortunately not correct.

We can check each possible answer by adding up the costs for each road. I recommend getting a marker out to trace the path, to help keep track of which roads were taken.

So we have...

Circuit ABDCA will cost AB+BD+DC+CA = 220+210+230+240= 900 in total (not 890). We can rule out choice A because the 890 and 900 don't match up.Circuit ACDBA will cost AC+CD+DB+BA = 240+230+210+220 = 900 in totalCircuit ABCDA will cost AB+BC+CD+DA = 220+200+230+310 = 960 in total

We see that Circuit ACDBA is the cheaper route of the answer choices given, and it perfectly matches with choice 2.

This may or may not be the cheapest route. I'm not all that familiar with the Nearest Neighbor algorithm to properly find the cheapest route (the next best thing is brute force). Luckily we can just use the answer choices as shown above. Besides the question doesn't ask for the absolute cheapest, but instead, "one of the cheapest".

So once again, the answer for the second question is choice 2

PLEASE HELP URENT What is the length of leg s of the triangle below?
45°
412
90°
45°
S
O A. 4
O B. 2
O C. 4.4
O D. 1
O E. 52
O F. 5.6

Answers

Answer:

4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 45 = s / 4 sqrt(2)

Multiply each side by 4 sqrt(2)

4 sqrt(2) *sin 45 = s

4 sqrt(2) * 1/ sqrt(2) =s

4

The graph of g(x) = (x+2)^2 is a translation of the graph of f(x) ___by___units

Answers

Answer:

The graph of g(x)=(x+2)^2 is a translation of the graph of f(x) LEFT by TWO units.

Choose the two steps that are part of factoring the trinomial 6x2 + 17x + 5 by grouping.

a. 6x2 + 9x + 8x + 5

b. (3x + 1)(2x + 5)

c. x(6x + 17) + 5

d. 3x(2x + 5) + 1(2x + 5)

Answers

Answer:

b

Step-by-step explanation:

given

6x² + 17x + 5

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 6 × 5 = 30 and sum = 17

The factors are 2 and 15

Use these factors to split the x- term

6x² + 2x + 15x + 5 ( factor the first/second and third/fourth terms )

= 2x(3x + 1) + 5(3x + 1) ← factor out (3x + 1) from each term

= (3x + 1)(2x + 5) → b

The two steps are [tex]3x(2x+5)+1(2x+5)[/tex] and [tex](3x+1)(2x+5)[/tex]. So, options b and d are correct.

Important information:

The given trinomial is [tex]6x^2+17x+5[/tex].Factoring:

Splitting the middle term, we get

[tex]6x^2+15x+2x+5[/tex]

After grouping, we get

[tex](6x^2+15x)+(2x+5)[/tex]

Taking out common factors, we get

[tex]3x(2x+5)+1(2x+5)[/tex]

Now, it can be written as:

[tex](3x+1)(2x+5)[/tex]

Therefore, the correct options are b and d.

Find out more about 'Factoring' here:

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Anyone good at exterior angles of triangles ? I WILL MARK THE BRAINLIEST ANSWER

Answers

Answer:

Answer B and F are correct.

Step-by-step explanation:

[tex] angle \: 3 \: \: and \: \: \: angle \: \\ \: \: 4 \: \: \: \: are \: \: \: the \: \: exterior \\ angles \: \: \: \: in \: this \: \: traingle[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

I will be asking questions constantly to finish a class​

Answers

Answer:

C

Step-by-step explanation:

so it has to go down,cross 0,-7, and then go up

y-axis is vertical

and since its a negative it would be in the lower quadrants

pls mark me brainliest

Here is a table of values for y=
f(x).
Х
-5
-3 0 2 6 7 9 10
13
f(x) 1
2
3 0
1230
1
Mark the statements that are true.

Answers

Answer:

The true statements are

The domain for f(x) is the set {-5, -3, 0, 2, 6, 7, 9, 10, 13}

f(-3) = 2

Extra:

x -5 -3 0 2 6 7 9 10 13

f(x) 1 2 3 0 1 2 3 0 1

At the start of the week, Ladasha’s checking account had a balance of $34. She deposited $50 each day for three days. She made a $60 withdrawal on the fourth day. Ladasha also wrote a check for $22. Explain how you can write an expression to show the account balance at the end of the week.

Answers

Step-by-step explanation: The account started at $34. Three $50 credits were added. Indicate the withdrawal by subtracting $60 or adding –$60. The check is also represented by subtracting $22 or by taking the additive inverse and adding –$22.

Sample Response: The account started at $34. Three $50 credits were added. Indicate the withdrawal by subtracting $60 or adding –$60. The check is also represented by subtracting $22 or by taking the additive inverse and adding –$22.

The height of a baseball, in feet, is represented by this expression, where t is time in seconds. The height of the baseball after 3.5 seconds is feet.

Answers

Answer:

The height of a baseball, in feet, is represented by this expression, where t is time in seconds.

-16t2+64t+3

The height of the baseball after 3.5 seconds is ___ feet.

Step-by-step explanation:

Consider the provided expression.

The height of a baseball, in feet, is represented by this expression, where t is time in seconds.

[tex]h=-16t^2+64t+3[/tex]

To find the height of the baseball  after 3.5 seconds, substitute the value of t = 3.5 in above expression

[tex]h=-16(3.5)^2+64(3.5)+3h\\\\=-16(12.25)+224+3h\\\\=-196+227h=31[/tex]

Hence, the height of the baseball after 3.5 seconds is 31 feet.

Answer:

31feet

Step-by-step explanation:

The question is incomplete. Here is the complete question.

The height of a baseball, in feet, is represented by this expression -16t²+64t+3, where t is time in seconds. The height of the baseball after 3.5 seconds is___ feet.

Given the height of the baseball modeled by the equation

h(t)  = -16t²+64t+3

To get the height of the baseball after 3,5secs, we will substitute t = 3.5s into the equation of the height as shown;

[tex]h(3.5) = -16(3.5)^{2} +64(3.5)+3\\h(3.5) = -16(12.25)+224+3\\ h(3.5) = -196+224+3\\ h(3.5) = -193+224\\ h(3.5) = 31feet[/tex]

The height of the baseball after 3.5 seconds is 31feet.

make x the subject of m=n + x/p

Answers

Answer:

[tex] \boxed{x = p(m - n)} [/tex]

Step-by-step explanation:

[tex] = > m = n + \frac{x}{p} \\ \\ = > m = (n \times \frac{p}{p} ) + \frac{x}{p} \\ \\ = > m = \frac{pn}{p} + \frac{x}{p} \\ \\ = > m = \frac{pn + x}{p} \\ \\ = > mp = pn + x \\ \\ = > x + pn = pm \\ \\ = > x = pm - pn \\ \\ = > x = p(m - n)[/tex]

in parallelogram ABCD, diagonals AC and BD intersect at E. Which statement proves ABCD is a rectangle?

Answers

Answer:

AC ≅ BD

Step-by-step explanation:

A parallelogram is a shape that have two pairs of parallel sides with opposite sides having the same length and opposite angles having the same size.

A rectangle is a shape that have two pairs of parallel sides with opposite sides having the same length and each of the four angles is 90°.

A parallelogram is said to be a rectangle if the diagonals of the parallelogram are of the same size (congruent). Therefore in parallelogram ABCD, ABCD is a rectangle if AC is equal to BD. where AC and BD are the diagonals

AC ≅ BD or say Measure of AC = Measure of BD diagonal.

Given that:

ABCD is a parallelogram

AC and BD intersect at E.

A parallelogram is defined as a closed geometric figure that has got 4 straight sides and  opposite sides are parallel to each other.

Set of all parallelogram is superset of set of all rectangles.

There is a property about diagonals of a parallelogram that states as;

" A parallelogram is a rectangle if and only if both of its diagonals are equal in size".

Now given parallelogram is ABCD thus its diagonals are AC and BD.

Thus for ABCD to be rectangle we need:

magnitude of AC = magnitude of BC

or

AC ≅ BD

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