Find the sum of the geometric series if n = 6, r= 1/4, a = 2.

Answers

Answer 1

Sn = a(1-r^n)/(1-r)

Sn= 2(1-1/4096)/0.75= 2.67


Related Questions

-4 (3+8h) =30 round to nearest hundredth

Answers

I wanna say ur answer is 8.05! Don’t yell at me if I’m wrong I’m sorry

Answer

-1.31 if its getting rounded to nearest number.

The fraction will be -21/16

if the vertex of triangle abc is A(2, 3) B(4, 5) C(6, 2) . find the reflection of it through y axis

Answers

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

A (2, 3 ) → A' (- 2, 3 )

B (4, 5 ) → B' (- 4, 5 )

C (6, 2 ) → C' (- 6, 2 )


Which step is incorrect? Look at picture

Answers

Answer: step 4 is incorrect

Step-by-step explanation:

Answer:

step 4 is incorrect.

there must be;

cos(π/2-x)cos(y)-sin(π/2-x)siny

what's the answer I have 30 something more questions to go​

Answers

Answer:

9 cm

Step-by-step explanation:

y = 12 - 3

y = 9

a tourist drove his car for the total of 17.5 hours while on a 3-day vacation on the first day he drove 4.5 hours in the second day he drove for 2.5 times as many hours as he drove on the first day how many hours did the tourist drive on the third day of his vacation (HELP PLEASE)​

Answers

Answer:

1.75 hours

Step-by-step explanation:

Time for day 1 : 4.5 hrs

Time for day 2: (4.5 ×2.5)

Time for day 3: let it be denoted by a variable ,say T.

Total Time= 17.5

(Time for day 1 ) + (Time for day 2) +(Time for day 3) =17.5

4.5 + (4.5×2.5) + T = 17.5

4.5+11.25+T =17.5

15.75+T=17.5

T=17.5-15.75

T= 1.75

What is the quotation -3/8 divided by -1/4

Answers

Answer:

3/2

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

-3/8 / -1/4

Negative divided by negative is positive.

To divide by a fraction, change the division to a multiplication and flip the fraction.

-3/8 / -1/4 =

= 3/8 * 4/1

= 12/8

= 3/2

Determine the cubic function that is obtained from the parent function y = x^3
after each sequence of transformations

Vertical stretch by a factor of 3; vertical translation up 4 units; horizontal translation left 2 units

Answers

Answer:

The answer here depends on whether you want to do them individually or collectively.  If we go individually, then:

The vertical scaling gives us y = 3x³

The vertical translation gives us y = x³ + 4

The horizontal translation gives us y = (x + 2)³

On the other hand, if we want to apply all three at the same time, we get:

starting with a vertical scaling of 3, we get:

start with scaling: y = 3x³

add vertical translation: y = 3x³ + 4

and finally add horizontal translation: y = 3(x + 2)³ + 4

What would be the length of AB I need urgent help?

Answers

Answer:

8 units

Step-by-step explanation:

AB = √(4×(4+12))

= √(4×16)

= 2×4

= 8 units

A coach collected data for his runners for 2 weeks. Week 1: Mean = 14.5 miles/ MAD = 1.15 Week 2: Mean = 16 miles/ MAD = 1.5. Which statement correctly compares the variability from Week 1 to Week 2? *

Answers

I honestly don’t know why this is a question but the answer is 7

How many terms are there in this expression? 3a + b - 4c
——-
3
6
5

Answers

There's 3 terms

3a-----1

+b -----2

-4c------3

Bryan has 86 more rubber bands than Hector. Hector has r rubber bands. Choose the expression that shows how many rubber bands Bryan has.

Answers

Answer:

You FAILED to list any choices

Step-by-step explanation:

b = r + 86

Answer: r+86

Step-by-step explanation: You add the number of rubber bands Hector has (r) and 86 to get the amount Bryan has.

Can someone help me with this fast?

Answers

Answer:

Angle B 66

Step-by-step explanation:

Complementary angles means their sum is 90

if angle 2 is 24, angle 3 is 90-24

What is the radius in the eqution below? (x - 5) ^ 2 + (y + 3) ^ 2 = 49

Answers

Answer:

7.

Step-by-step explanation:

The equation of a circle is

(x - h)² + (y - k)² = r²

Where

(h, k) is the center and r is the radius, so we only need to work with r.

The expression states that

r² = 49 or the radius squared is equal to 49. So solve for r to find the radius.

r² = 49

Take the square root.

r = 7

The radius of the equation is 7.

Peter and Mary take turns throwing one dart at the dartboard. Peterhits the bulls eye with probabilitypand Mary hits the bullseye with probabilityr.Whoever hits the bullseye first wins. Suppose Peter throws the first dart.(a) What is the probability that Mary wins

Answers

Answer:

[tex]P(Mary) = (1 - p) * r[/tex]

Step-by-step explanation:

Given

[tex]p \to[/tex] Peter hits

[tex]r \to[/tex] Mary hits

Required

The probability that Mary wins

From the question, we understand that Peter throws the first.

If Mary is to win, then Peter has to lose his throw

Using the complement rule, the probability that Peter misses is:

[tex]p' = 1 - p[/tex]

So, the probability that Mary wins is:

[tex]P(Mary) = p' * r[/tex]

This gives:

[tex]P(Mary) = (1 - p) * r[/tex]

A baker used 5 7/10 bags of flour one week. The same baker used 7 3?10 bags the next week. How many more bags of flour did the baker use the second week than the first week?

Answers

Answer: 1 6/10

Step-by-step explanation:

Subtract 7 3/10 with 5 7/10 !!!btw subscribe to Aphmua and unspeakable!


Jasmine's school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 1 senior citizen ticket and 2
child tickets for a total of $33. The school took in $46 on the second day by selling 1 senior citizen tickets and 3 child tickets What is the
cost of buying 5 senior citizen tickets and 7 child tickets?

Answers

Answer:

$126

Step-by-step explanation:

f(x)=3√x²-1 and f(x)=2 find x​

Answers

Answer:

5

Step-by-step explanation:

See the image below:)

Question 2 of 20
Which of the following are roots of the polynomial function below?
Check all that apply.
F(x) = x3 - 3x2 + 2
O A. 2+ v12
B.
2-12
3 + 17
D. 1
E. 3-17
SUBMIT

Answers

2+v12 is the answer

The rational root of the function  f(x) = x³ - 3x² + 2 is - 1.

What is a polynomial?

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

Given, A polynomial function of degree three f(x) = x³ - 3x² + 2.

Now, The roots of the function is when f(a) = 0.

The last term is, 2, Hence the roots must be,

± 1, ± 2, The factors of 2.

f(-1) = - 2.

f(1) = 0.

f(-2) = - 18.

f(2) = - 2.

So, The only rational root is x = - 1 and the other roots are irrational and can be obtained by the obtained quadratic equation after factoring or by long division.

learn more about polynomials here :

https://brainly.com/question/11536910

#SPJ7

llll answer this an i will mark u brainliest​

Answers

2 / -18 and 4/ a (1/2 ) I THINKKK

Answer: yeah the other person is right

Step-by-step explanation:

Alice sells boxes of candy at the baseball game and wants to know the mean number of boxes she sells. The numbers for the games so far are listed below. 16, 14, 14, 21, 15

Answers

Answer:

1st

Step-by-step explanation:

You need to add the numbers and then dicuvde by how many numbers are there.

Answer:

16

Step-by-step explanation:

"Mean" is another way of asking for the average. Add all numbers together, then divide by how many numbers you started with.

16 + 14 + 14 + 21 + 15 = 80

80 ÷ 5 = 16

substract 8 times the sum of a and b from 9y​

Answers

Answer:

Step-by-step explanation:

according to the question ur equation is

9y-8(a+b)

9y-8a-8b

the variables thoo , that’s difficult

I NEED HELP WITH THIS !! PLS HELP!!

Answers

Answer:

Step-by-step explanation:

2/14 * 1/23 = 1/91

A sample of 1600 computer chips revealed that 43% of the chips fail in the first 1000 hours of their use. The company's promotional literature states that 44% of the chips fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that fail is below the stated percentage. Is there enough evidence at the 0.05 level to support the manager's claim

Answers

Answer:

The p-value of the test is 0.209 > 0.05, which means that there is not enough evidence at the 0.05 level to support the manager's claim.

Step-by-step explanation:

The company's promotional literature states that 44% of the chips fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that fail is below the stated percentage.

At the null hypothesis, we test if the proportion is of 44%, the stated value. So

[tex]H_0: p = 0.44[/tex]

At the alternate hypothesis, we test if the proportion is below the stated value, that is, it is less than 0.44. So

[tex]H_1: p < 0.44[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.44 is tested at the null hypothesis:

This means that [tex]\mu = 0.44, \sigma = \sqrt{0.44*0.56}[/tex]

A sample of 1600 computer chips revealed that 43% of the chips fail in the first 1000 hours of their use.

This means that [tex]n = 1600, X = 0.43[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.43 - 0.44}{\frac{\sqrt{0.44*0.56}}{\sqrt{1600}}}[/tex]

[tex]z = -0.81[/tex]

P-value of the test:

The p-value of the test is the probability of finding a sample proportion below 0.43, which is the p-value of z = -0.81.

Looking at the z-table, z = -0.81 has a p-value of 0.209.

The p-value of the test is 0.209 > 0.05, which means that there is not enough evidence at the 0.05 level to support the manager's claim.

An airplane flying into a headwind travels the -mile flying distance between Indianapolis, Indiana, and Phoenix, Arizona, in hours. On the return flight, the airplane travels this distance in hours and minutes. Find the airspeed of the plane and the speed of the wind, assuming that both remain constant.

Answers

Answer:

the airspeed of the plane = 660 miles/hr

the speed of the wind = 60 miles/hr

Step-by-step explanation:

The values are missing in the given information in the question.

To able to solve this question, we will make some assumptions.

Let's assume that:

The airplane heading into the wind travels 1800 miles in 3 hours.

While returning via the same distance, it travels 2 hours 30 minutes.

We are to determine the plane's airspeed as well as the wind speed.

First, let us say that the speed of the plane is p and the wind speed is q

during the time the plane is traveling for 1800 miles in 3 hrs.

Then, we can say

3p -3q = 1800 ----- (1)

However, in  2hours 30 minutes, we have 2.5 hours

So, when the plane is returning, we have the following equation:

2.5p + 2.5q = 1800 ---- (2)

So, to find p and q, we can use the elimination method.

Simply by multiplying equation (1) with 5 and equation (2) with 6

 (5)3p    -  (5)3q     = (5) 1800

 (6)2.5p  + (6)2.5q = (6) 1800            

  15p -  15q  = 9000

+

 15p + 15q   = 10800      

 30p -  0     = 19800      

30p = 19800

p = 19800/30

p = 660

Since p = 660, then from equation (1) we can obtain the value of q:

So; Using equation (1):

3p -3q = 1800

3(660) - 3q = 1800

1980 - 3q = 1800

-3q = 1800 - 1980

-3q = -180

q = 180/3

q = 60

Therefore, the airspeed of the plane = 660 miles/hr

the speed of the wind = 60 miles/hr

help MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

Step-by-step explanation:

using pythagoras theorem formula

a^2+b^2=c^2

19^2+52^2=c^2

361+2704=c^2

[tex]\sqrt{3065}[/tex]=c

55.36=c

55=c

Please help! It’s too hard

Answers

Answer: for sure c.

Step-by-step explanation: Let me know if im right!

If P is inversely proportional to Q and if pad when Q = 4. Find the value
of when Q = 3.

A) 7 B) 6 C) 12

Answers

Answer:

8

Step-by-step explanation:

If p is  inversely proportional to Q and P is 6 when q = 4, then;

p = k/q

6 = k/4

k = 6*4

k = 24

To get P when q = 3

Recall;

p = k/q

p = 24/3

p = 8

Hence the required value of p is 8

Note that the value of initial Q was assumed

What is the constant of proportionality for the table below?
х
10
8
4
2
y
25
20
10
5
Ο Α. 5
B. 215
O C. 2.5
O D. 25

Answers

The answer is C
The X is multiplied by 2.5 to get Y

Todd bought 3/8 of a pound of banana chips. He ate 1/9 of what he purchased what fraction of a pound of banana chips did todd eat?​

Answers

Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

He bought 3/8 of a pound and ate 1/9 of it. The equation of this problem would be:

[tex]\frac{3}{8} * \frac{1}{9}[/tex] = amount he ate

Cancel the 3 on the numerator by dividing the denominator by 3.

[tex]\frac{1}{8} * \frac{1}{3}[/tex] = [tex]\frac{1}{24}[/tex]

Thus, he ate [tex]\frac{1}{24}[/tex] pounds of chips

49-3m=4m+4 bbbbbbbbbbbbbbbbbbbbbbbb

Answers

Answer:

m = 6.43 (approx. )

Step-by-step explanation:

49 - 3m = 4m + 4

=> 49 - 4 = 4m + 3m

=> 45 = 7m

[tex] = > \frac{45}{7} = m[/tex]

=> 6.428571... = m

=> m = 6.43 (approx. ) (Ans)

Answer:

m = - 6 . 43

Step-by-step explanation:

49 - 3m = 4m + 4

= 49 - 4 = 4m + 3m

=45 = 7m

= 6.428571... = m

= m = 6.43  

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