Find the sum of a geometric series of which a1=7, n=4 and r=3

Answer:

It is the second one: Solve the first equation for x.

Step-by-step explanation:

Answer:

The 3 ses that we found are:

{4, 5, 6}

{64, 65, 66}

{124, 125, 126}

Step-by-step explanation:

3 consecutive numbers are written as:

n, (n + 1), (n + 2)

We know that the first one is a multiple of 4.

Then n is a multiple of 4:

n = k*4

where k is an integer.

The second one is a multiple of 5, then:

(n + 1) = j*5

where j is an integer.

The last one is a multiple of 6.

(n + 2) = p*6

where p is an integer.

We want to find 3 sets.

The first one is trivial:

n = 4

n + 1 = 5

n + 2 = 6

4 is a multiple of 4

5 is a multiple of 5

6 is a multiple of 6.

Now let's find a set that is not trivial.

First, remember that all the multiples of 5 end with a 0 or a 5,

Then we can look for a value n, that is multiple of 4, and that has a last units digit equal to 4 (then the next one will have a units digit and will be multiple of 5)

For example, 4*6 = 24

24 is a multiple of 4.

The next number is 24 + 1 = 25, which is multiple of 5.

The next number is 25 + 1 = 26, which is not multiple of 6.

So let's try again.

4*11 = 44, is a multiple of 4.

The next number is 44 + 1 = 45

45 is a multiple of 5.

The next number is 45 + 1 = 46, which is not multiple of 6

So we need to try with another set.

4*16 = 64, is a multiple of 4.

The next number is 64 + 1 = 65, which is multiple of 5.

The next number is 66, which is multiple of 6:

6*11 = 66

Then the set:

n = 64

n + 1 = 65

n + 2 = 66

Is a possible set.

Now we can keep trying this, we can see that the next set  has the numbers:

n = 4*31  = 124 is a multiple of 4.

The next number, is 124 + 1 = 125, which is a multiple of 5.

The next number is 125 + 1 = 126, which is multiple of 6

6*21 = 126

Then the set:

n = 124

n + 1 = 125

n + 2 = 126

Is another possible set.

The 3 ses that we found are:

{4, 5, 6}

{64, 65, 66}

{124, 125, 126}

If  AC is 13 unit,  then AC = 4.875 (5.875, 1) then the ratio of the segment  via which E divides line AC is said to be equal to the ratio of AD and DB.

In the image attached, The length of AC = 13.

Take length of AE = x.

Take length of EC = 13 x.

The ratio of AE to EC = 0.6.

The [tex]\frac{AC}{EC}[/tex]

x = 0.6(13 - x)

x = 7.8 - 0.6x

1.6x = 7.8

x = 4.875

Therefore, AC = 4.875

Since E is found on AC so  EC = 13 -x = 13 - 4.875 = 8.125

Therefore,

AC = 4.875

EC = 8.125

See full question below

Line AC is 13 units long. Use coordinate algebra to locate a point E on Line AC such that the ratio of AE to EC is equal to the ratio of AD to DB which is 0.6. Show how you derived your answer. (Hine: Let x and AC - x represent the two line segments that make up Line AC

Learn more about Line segments  from

https://brainly.com/question/7416714

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Answer:

(x-3) years

Step-by-step explanation:

We are given that

Age of Jonathan= x years

Sage is 7 years older than Jonathan

It means

Age of Sage=(x+7) years

We have to find the age of Sage 10 years ago.

10 Years ago,

Age of Jonathan=(x-10) years

Age of Sage=(x+7-10) years

Age of Sage=(x-3) years

Hence, 10 years ago, age of Sage =(x-3) years

Answer:

1.33 & n - 6 = 0.75(t - 8)

Explanation:

Speed can be calculated as miles ÷ minutes

4 ÷ 3 = 1.33 and 8 ÷ 6 = 1.33 as well

Since we know the n and t, we can substitute one into the equation to find the other (substitute t = 8 into all four equations and see do we get n = 6)

You can do this with t = 4 and n = 3 as well

Answer:

you are a great woman removing the sum o saare and pa and pa to the lord and your life to you for drawing the sum o the streets

Answer:

23.56

Step-by-step explanation:

2([tex]\pi r^{2}[/tex]) + 2[tex]\pi[/tex]rh

2([tex]\pi[/tex] [tex]1.5^{2}[/tex])+ 2[tex]\pi[/tex](1.5)(1)

23.56

23.56 in² is the surface area

A solid object's surface area is a measurement of the overall space that the object's surface takes up.

Given

2(πr²) + 2πrh

2π( 1.5)²+ 2π(1.5)(1)

= 23.56 in²

To know more about surface area refer to:

https://brainly.com/question/16082274

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Answer:

4 / 663

Step-by-step explanation:

Given that :

Number of cards in a standard deck = 52

Number of 3's in s standard deck = 4 (each suit has one card each)

Number of 8's in a standard deck = 4 (each suit has one card each)

Probability, P = required outcome / Total possible outcomes

Choosing without replacement :

P(top card is a 3) = 4 / 52

P(second draw is 8) = 4 / 51

P(top card is a 3 and second is 8) :.

4/52 * 4/51 = 16 / 2652 = 4 / 663

Answer:

1πcm

Step-by-step explanation:

do you have another question to ask pls if you have ask

Answer:

1.1 small inches of the day

Step-by-step explanation:

Answer:

A, C and D.

Step-by-step explanation:

Answer:

yctcuvhino

ubuvyvubigu

Answer:

3s-10=17

s=9

3×9-10=17

27-10=17

Answer:

There are 6 halves of the pizza

Step-by-step explanation:

3/0.5=6

Answer:

O

Step-by-step explanation:

We can answer this by using the process of elimination

We want to find the position of 0.5

So let's begin

Looking at the number line...

D and E are both in between negative numbers

0.5 is not a negative number so immediately we can eliminate D and E

So it is between O and M

O is between 0 and 1

.5 is between 0 and 1 so O might be the answer

However let's look at M just to be safe.

M is located between 3 and 4.

Both 3 and 4 are greater than .5 meaning that M cannot represent .5

So we can conclude that O is the best answer

Answer:

-10 and - 2x

The x is unknown number so, we don't know which one if -2x or -10 is greater.

Answer:

12x+1

Step-by-step explanation:

8x+3+4x-2

8x+4x+3-2

Arranging Like terms

12x+1

Adding Like terms (8x+4x) and Substracting numbers ! ++- = - So we substrate it and in addition we don't change symbols so 3 is greatest number so we write + there !

Answer:

00000000.1

Step-by-step explanation:

1+1=2-1%000.1

Answer:

The proportion of 1s received at the end of the channel is of 0.598.

Step-by-step explanation:

In this question:

60% of the bits sent are 1, 100 - 60 = 40% of the bits sent are 0.

For each bit receive, 0.01 probability of an error, so 0.99 probability it is correct.

a. What is the proportion of 1s received at the end of the channel?

99% of 60%(sent 1s, received 1).

1% of 40%(sent 0s, received 1). So

[tex]p = 0.99*0.6 + 0.01*0.4 = 0.598[/tex]

The proportion of 1s received at the end of the channel is of 0.598.

9514 1404 393

Answer:

  (–3, 0) and (1,0)

Step-by-step explanation:

The x-intercepts are where the curve crosses the x-axis. Your problem statement tells you ...

  "crosses the x-axis at (negative 3, 0) and (1, 0)"

This means the x-intercepts are (-3, 0) and (1, 0).

Answer:

The answer would be B= (–3, 0) and (1,0)

Answer:

1) -0.669

2) -0.669

3) 0.669

Step-by-step explanation:

Since we are subtracting or adding multipled of pi, we will either obtain 0.669 or -0.669 as our answer for each of the three different questions.

Cosine is the x-coordinate in our orderes pairs. If our point ends up on the right side of the y-axis, the cosine will be positive. If our point ends up on left side, it will be negative.

Choose a thetha (I'm going to choose it in degrees) in the first quadrant to help with a visual.

If theta=70:

1) then 180-70=110 which is in second quadrant, so our cosines will be opposite in value.

2) then 180+70=250 which is in third quadrant, so our cosines will be opposite in value.

3) then 4×180-70=720-70=650 =1(360)+290 which ends up in the 4th quadrant which means the consines will have the same value.

Answer:

Step-by-step explanation:

This is a geometric means problem involving the height of 9. 9 is the geometric mean because it is the height of both ΔCFD and ΔEFD. Set up the problem accordingly:

[tex]\frac{5}{9}=\frac{9}{2x+3}[/tex] and cross multiply:

81 = 5(2x + 3) and

81 = 10x + 15 and

66 = 10x so

x = 6.6

Now we will plug that value in for x to find the length of DE:

2(6.6) + 3 = 16.2 units

Answer:

y=7x

Step-by-step explanation:

because y= 4x+3=7x

Answer:

Zukile has 105, Adam has 45, Siya has 90

Step-by-step explanation:

Not sure how right this is, but I did: 240=2x+x+(60+x)

Simplify to: 240=60+4x

Simplify to: 180=4x

Simplify to: 45=x

Answer:

Step-by-step explanation:

A rational number can be written as a fraction of two integers.

√23 is irrational because we do not know what the square root of 23 is in terms of integers in a fraction.

104.42 is rational because it can be expressed as 10442/100 . We can express it as this because

104.42 * 1 = 104.42 * 100/100 = 10442/100, and multiplying something by 1 keeps it the same

√64 is rational because it is equal to 8, and 8/1 is equal to 8

49.396 with the 6 repeating is rational because we can express 49.39 as

49.39 * 1 = 49.39 * 100/100 = 4939/100, and we are then left with

49.396- 49.39 = 0.006 (with the 6 repeating). A repeating decimal can be expressed as x/9, with the x representing all values before the repetition begins multiplied by 10.

For example, 0.6 with the 6 repeating can be represented as 6/9. This is because 0.6 * 10 = 6, and we divide that by 9. Similarly, 0.006 with the 6 repeating can be represented by 0.06/9

We add the two fractions together to get

4939/100 + 0.06/9

multiply both fractions by the other's denominator to even them out and make the numerator of the second fraction an integer

(4939*9)/(100*9) + (0.06*100)/(9*100)

= 44451/900 + 6/900

= 44460/900

Assuming that the last number has only the digits given, that is rational because, similarly to 104.42, it can be multiplied by a power of 10 to result in (integer)/(integer), making it rational. If the dots represent infinite digits, then it is not rational because there are infinite digits that are not repeating, and there is no way to know the last digit, so it is impossible to write a fraction from it

Answer:

The quantity of loaves left in the bag is 3/4.

Step-by-step explanation:

Carlos bought a certain amount of loaves, put 1/4 of that amount on his tray and left the rest of the loaves in the bag. How many loaves did Carlos leave in the bag?

Quantity of loaves in tray is 1/4

So, the quantity of loaves in the bag is

[tex]1-\frac{1}{4}=\frac{3}{4}[/tex]

Answer:

2/3

Step-by-step explanation:

140/(140+70)

=140/210

simplified

=2/3

Answer:

12

Step-by-step explanation:

Rectangle : Let length = b & width = a

PQ = QR = 6

LR = QR - PL = 6 - a

ΔPQR ~ ΔMLR

In similar triangles, corresponding sides are in same ratio.

[tex]\frac{PQ}{QR}=\frac{ML}{LR}\\\\\frac{6}{6}=\frac{a}{6-b}[/tex]

[tex]1 =\frac{a}{6-b}[/tex]

6 - b = a

6 = a + b

a +b = 6

Perimeter of rectangle = 2*(length +width}

       = 2*(a+ b)

       = 2 * 6

       = 12  

Answer:

Please find the complete question in the attached file.  

Step-by-step explanation:

All three functions are defined as follows:

For function 1:

The module on the absolute value function instance example also is known as this function:

[tex]f(x)=|x| \ \left \{ {{x, \ \ x>0} \atop {-x \ \ <0}} \right.[/tex]

This is [tex]f(x)= x, \ \ x<0[/tex] in the following diagram.

For function 2:

It is an algebraic function of in this function

It also is a quadratic polynomial functional with a [tex]y=x^2, \ \ x>0[/tex] value.

For function 3:

The cubic polynomial equation is evaluated for in this function

The value of the graph is:

[tex]y=-x^3 \ \ \ \ and\\\\\to y= f(x)\\\\\to y= -f(x)\\\\[/tex]

Answer:

E

Step-by-step explanation:

I believe it should be E because it uses parallel lines