Find the sum of the first 6 terms of the following series, to the nearest integer.
75, 90, 108, ...
hey

Answers

Answer 1

Answer:

StepTo find the sum of the first Sn terms of a geometric sequence use the formula

Sn=a1(1−rn)1−r,r≠1,

where n is the number of terms, a1 is the first term and r-by-step explanation:

Answer 2

Answer: 745

Step-by-step explanation:

[tex]The\ sequence\ is\ a\ geometric\ one.u_1=75\\u_2=90\\u_3=108\\u_4=129.6\\u_5=155.52\\u_6=186.624\\\\common\ factor\ is\ 1.2=\frac{6}{5} \\\\Sum=u_1+u_2+...+u_6=\displaystyle \sum_{i=1}^{6} 75*(\frac{6}{5})^{i-1} \\=75*\dfrac{(\frac{6}{5}) ^6-1 }{\frac{6}{5}-1 }\\\\\\=75*\dfrac{1,985984}{\frac{1}{5} } \\\\=75*9,92992\\\\=744,744\\\\\approx{745}[/tex]


Related Questions

Find the 68th multiple of 89, if the 69th multiple is 6141.

Answers

Answer:

6141 - 89 = The 68th multiple (6052)

Evaluate \dfrac {9}m+4 m 9 ​ +4start fraction, 9, divided by, m, end fraction, plus, 4 when m=3m=3m, equals, 3.

Answers

Fractions can be evaluated, same way non fractions are evaluated

The result of the fraction expression [tex]\mathbf{\dfrac {9}m+4}[/tex] is 7

The given parameters are:

[tex]\mathbf{\dfrac {9}m+4}[/tex]

[tex]\mathbf{m = 3}[/tex]

So, we have:

[tex]\mathbf{\dfrac {9}m+4}[/tex]

Substitute 3 for m

[tex]\mathbf{\dfrac {9}m+4 = \dfrac {9}3+4}[/tex]

Evaluate the division

[tex]\mathbf{\dfrac {9}m+4 = 3+4}[/tex]

Add 3 and 4

[tex]\mathbf{\dfrac {9}m+4 = 7}[/tex]

Hence, when m equals 3, the result of the fraction expression [tex]\mathbf{\dfrac {9}m+4}[/tex] is 7

Read more about fractions at:

https://brainly.com/question/6201432

30, 32, and 34 Please! I WILL GIVE BRAINLIEST

Answers

Answer:

see explanation

Step-by-step explanation:

Since AL bisects ∠ KAT then ∠ 1 = ∠ 2

(30)

7x + 3 = 6x + 7 ( subtract 6x from both sides )

x + 3 = 7 ( subtract 3 from both sides )

x = 4

(32)

SAT is a straight line , then

∠ 1 + ∠ 2 + ∠ 3 = 180° , then

x + x + 4x = 180

6x = 180 ( divide both sides by 6 )

x = 30

(34)

Similar to (32)

x + 12 + x + 12 + 6x - 20 = 180 , that is

8x + 4 = 180 ( subtract 4 from both sides )

8x = 176 ( divide both sides by 8 )

x = 22

Answer:

30) x= 4

32) x=30

33) x=22

Step-by-step explanation:

All step by step explainations are in pic below

The area of a rectangular swimming pool is 240 sq. ft. If the length of the swimming pool is 10 ft. and the width is x-2 ft., what is the value of x?

Answers

Answer:

x= 26

Step-by-step explanation:

area of rectangle = L×b

240 = 10(x-2)

240 = 10x - 20

240+20 =10x

260 =10x

260/10 = x

26 = x

:,x =26

The required value of x is 26

please mark me as branliest

E =mc^2 , solve for m

Answers

Answer:

[tex]e = m {c}^{2} \\ m = \frac{e}{ {c}^{2} } \\ thank \: you[/tex]

A roll of ribbon is 32 cm long. How many pieces 11 cm long can be cut from the roll?​

Answers

11 + 11 = 22 (+ 10 makes 32) so 2

Help me please look at the pictures​

Answers

I think it’s the 2094.1 divided by 10 so it would be 209.4

Which number line represents the solution set for the inequality 2x - 62 6(x-2) + 8?​

Answers

Answer:

-15 -0.5 0 0.5 1 1.5 -1.5 -1 -0.5 0 0.5 1.5 -1.5 -1 -0.5 0 0.5 1.5 -1.5 -1.5 0 0.5 1 1.5

Step-by-step explanation:

factorise pls explain me i will make u brainlinst​

Answers

Answer:

4(5x _ 2y ) ^

Step-by-step explanation:

It is above in a photo .

If m<3 = 54°, find each measure.

Answers

m<1 = 36° (str. <s)

m<2 = 90°

m<4 = 36° (str. <s)

m<5 = 90° (vert. opp. <s)

m<6 = 54° (vert. opp. <s)

m<7 = 126° (str. <s)

m<8 = 54° (< sum of triangle)

m<9 = 126° (vert. opp. <s)

m<10 = 54° (vert. opp. <s)

m<11 = 36° (alt. <s)

m<12 = 144° (str. <s)

m<13 = 36° (vert. opp. <s)

m<14 = 144° (vert. opp. <s)

A. 3
B. 0.667
C. 0.333
D. 6

Answers

Answer:

C. 0.333

Step-by-step explanation:

It is a ratio. For every 1 added to the x-value, 3 is added to the y-value. So therefore, the constant is 0.333

Answer:

A. 3

Hope this helps :)

Easy slope equation just don’t remember

Answers

(0,3)
-2,4)
4-3/ -2-0
1/-2
-2 is your slope
Hope this helps *smiles*

Two cars, 360 kilometers apart, begin driving toward each other on a long, straight highway. One car travels 80 km per hour and the other 100 km per hour. At the same time, a canary, starting on one car, flies back and forth between two cars as they approach each other. If the canary flies 120 km per hour and spends no time to turn around at each car, how far has it flown when the cars collide?

Answers

What no entenderá toy

Find the distance between the points (-4,-1) and (4,1). Round to 2 decimals places

Answers

Answer:

length between is 8.54 units

Step-by-step explanation:

Formular:

[tex] { \bf{ = \sqrt{ {(x_{1} - x_{2}) }^{2} + {(y_{1} - y_{2}) }^{2} } }}[/tex]

x1 is -4

x2 is 4

y1 is 4

y2 is 1

[tex] = \sqrt{ {( - 4 - 4)}^{2} + {(4 - 1)}^{2} } \\ = \sqrt{64 + 9} \\ = \sqrt{73} \\ = 8.54 \: units[/tex]

Answer:

Distance = 8.25 units

Step-by-step explanation:

use the formula :

√ (x2 _ x1) + (y2 - y1)

where ,

x2 = 4

x1 = -4

y2 = 1

y1 = -1

NOTE : answer only the 2nd question ​

Answers

Answer:

60 degrees.

Step-by-step explanation:

BC is parallel to the x axis (because B and C have the same y-coordinate).

Slope of AB is 3/√3 = √3

so the angle AB makes with the axis = angle it makes with BC

= arctan(√3)

= 60 degrees.

Scott needs to mail a USB drive to a friend. He uses 41-cent stamps and 8-cent stamps to pay $1.87 in postage. How many of each stamp did scott use?

Answers

Answer:

4 41cent stamps would be $1.64/ 3- 8 cent stamps would be 23 cents/ $1.64 + 23= $1.87

Step-by-step explanation:

Use the graph of f to find F(2).

A. 0.5
B. Does not exist
C. -8
D. -0.5

Answers

Hey there! Before we start with the problem, you mean f(2) instead of F(2) if I'm correct. In maths, variables are case-sentitive so F and f both are different.

First, f(2) means the value of y at x = 2.

f(2) is when we substitute x = 2 in and receive the output (y-value).

In coordinate plane, we have (x,y) as a point. What we have to do is to look at the graph, you will see the point that contains (2,-8)

That's it! Refer above, f(2) is when we substitute x = 2 and get y-value.

Hence, f(2) = -8

Let me know if you have any questions!

Topic: Function

Use the substitution method
y=6x+2 and y=3x+11

Solve for x and y
please put in ordered pair

Answers

Answer:

222222

Step-by-step explanation:

triangle ABC is congruent to triangle DBC

Answers

Yes

Yes it is

Triangle ABC is congruent to triangle DBC

Answer:

hi i am new in this app can u help

Step-by-step explanation:

hi miss can you help

Determine if the function is one-to-one. (2 points)
A decreasing line intercepting the y axis at 0, 6.

Yes
No

Answers

Answer:

yes

Step-by-step explanation:

Please mark me as brainlyest

Margarita entrena tres semanas para participar en un maratón. En la segunda semana recorre 1 km más que en la primera y en la tercera semana, corre el doble de km que los corridos en la segunda, ¿cuál es la representación algebraica simplificada de los kilómetros recorridos durante el entrenamiento?

Answers

Queremos encontrar una expresión algebraica que representa la situación dada.

Encontraremos que está es: 4*D + 3

Lo primero que debemos hacer es definir la variable.

Definamos D como la distancia que Margarita recorre en la primer semana.

En la segunda semana, Margarita recorre un kilometro más que en la primera, entonces en la segunda semana Margarita recorre:

D + 1km

En la tercera semana, Margarita recorre el dolbe de km recorridos en la segunda.

En la segunda ella recorrio D + 1km, y el doble de eso es:

2*(D + 1km) = 2*D + 2km

La distancia total recorrida sera la suma de las 3 semanas:

D + (D + 1km) + (2*D + 2km)

Simplificando los km, así solo queda una expresión algebraica, obtenemos:

D + (D + 1) + (2*D + 2)

Podemos simpliicar esto para obtener:

D + D + 1 + 2*D + 2

(D + D + 2*D) + (1 + 2)

4*D + 3

Entonces la representación algebraica simpliicada de los kilómetros recorridos durante el entrenamiento es:

4*D + 3

Si quieres aprender más, puedes leer:

https://brainly.com/question/21513785

cos30° cos45°-sin30° sin 45°​

Answers

Answer:

(√6 - √2)/4

Step-by-step explanation:

cos30°cos45° - sin30°sin45°

= cos (30 + 45)°

= cos 75°

= (6 - 2)/4

3.9015 to the nearest thousandth

Answers

Answer:

3.902.

Step-by-step explanation:

3. 9015:

The 10 thousandth digit is 5 so you round up the 1 to 2.

What time is shown on the clock?


Answers

Answer:

its 12.03

have a great dayy

Answer:

12:40

hope this will help you have a great day

All of the factors and multiples of 21 and 48

Answers

In other words, the factors of 21 are all the numbers that can evenly divide into 21, and the factors of 48 are all the numbers that can evenly divide into 48. Here are the factors for 21 and 48: Factors of 21: 1, 3, 7, and 21. Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

Answer:

Factors:

21 :  1, 3, 7, 21

48: 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.

Multiples :

21 :   21, 42, 63, 84, 105, 126, 147, 168, 189, 210, 231, 252, 273, 294, 315, 336, 357, 378, 399, 420, 441, 462, 483, 504, 525, 546, 567, 588, ...

48 :  48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528, 576, 624, 672, 720, 768, 816, 864, 912, 960, 1008, 1056, 1104, 1152, 1200, 1248, ...

help me please help pleaseeeeeeeeeeeee

Answers

Answer:

(8,3)

Step-by-step explanation:

Point c is seven units away from the line x = 1

So we move seven units to the right of the line x = 1

the x value = 8

y value = 3

Coordinates = (8,3)

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Distribute 9x(9x+3) help please

Answers

Hey there!

The answer is:

[tex]9x(9x + 3) \\ \\ 81 {x}^{2} + 27x[/tex]

Hope it help you

(x+5y =14
(2x – 3y=-11)

Answers

Answer:

x= -1 , y=3

Step-by-step explanation:

x= -1 , y=3, i just found x and y because you didnt tell anything

Find mZWVT.
T
U
7x +11)
V
(14x+7)
(3x + 4)º
W
A. 40
OB. 53
OC.50
OD. 45

Answers

Answer:

[tex]\huge\boxed{\sf <WVT = 40\°}[/tex]

Step-by-step explanation:

According to one of the tangent-secant theorems,

∠WVT = [tex]\frac{1}{2} (arc\ TW-arc\ UW)[/tex]

Given that:

∠WVT = (3x + 4)°

arc TW = (14x + 7)°

arc UW = (7x + 11)°

Solution:

3x + 4 = 1/2 (14x + 7 - (7x + 11))

3x + 4 = 1/2 (14x + 7 - 7x - 11)

3x + 4 = 1/2 ( 7x - 4 )

Multiply both sides by 2

2 ( 3x + 4 ) = 7x - 4

6x + 8 = 7x - 4

Combining like terms

7x - 6x = 8 + 4

x = 12

Finding ∠WVT:

∠WVT = (3x + 4)°

∠WVT = (3(12)+4)°

∠WVT = (36+4)°

∠WVT = 40°

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807Peace!

If value of a+b=7and ab=12then find the value of a and b

Answers

Answer:

a and b are 3 and 4

Step-by-step explanation:

To find the answer I go through all the two numbers that and multiply and gat 12:

1x12; 2x6; 3x4

And that add them:

1+12=13 x

2+6=8 x

3+4=7 this is the answer

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