What is the sum of the first eight terms of a geometric series whose first term is 3 and whose common ratio is ?

Answers

Answer 1

Answer:

I think your answer would be 36

Answer 2

Answer:

28

Step-by-step explanation:


Related Questions

If 54% of all people between the ages of 35 and 50 ride a bike, find the probability for a sample of 30 people in that age group exactly 15 ride a bike

Answers

Answer:

The probability is 0.1312

Step-by-step explanation:

Here, let us set up a binomial system

From the question, 54% ride a bike

Let p = people that rides a bike

54% = 54/100 = 0.54

p = 0.54

q = 1 - p = 1 -0.54 = 0.46 ( 46% do not ride bikes)

Now, for the binomial system, we have

P(X = 15) = 30 C 15 • p^15•q^15

We have;

30 C 15 * 0.54^15 * 0.46^15

= 0.131200268998

The probability is 0.1312

A gardener is planting two types of trees: Type A is 4 feet tall and grows at a rate of 24 inches per year. Type B is 5 feet tall and grows at a rate of 21 inches per year. Algebraically determine exactly how many years it will take for these trees to be the same height.

Answers

It would take 5 yrs. for both trees to be the same height.

Please help me simplify this expression!!

Answers

Answer:

[tex]w^{14}[/tex]

Step-by-step explanation:

[tex]\frac{1}{w^{11} } *w^{25}\\\\\\\frac{w^{25}}{w^{11}} \\\\w^{14}[/tex]

Can yu guys help me out

Answers

Answer:

they are already answered

Step-by-step explanation:

Right?

8% of the High School students have their license. If there are 1000 high school students in your neighborhood, how many have their license internet Enter your answer in the sface below. ??? teachers​

Answers

Answer:

80.

............................

ANDWER CHOICES:

14cm
20cm
8cm
6cm

I NED HELP ASAP!!!!

Answers

20 cm is the answer to the question

Cole wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor is 4 5 6 ft by 2 1 3 ft. Find the area the carpet needs to cover. Solve on paper. Then check your work on Zearn. 711 1 3 tiled floor The carpet needs to cover ft2.

Answers

Answer:

[tex]Area = 49\frac{25}{36}[/tex]

Step-by-step explanation:

Given

Tile

[tex]Length = 4\frac{5}{6}[/tex]

[tex]Width = 2\frac{1}{3}[/tex]

See attachment for dimension of the floor

Required

Determine the area covered by the carpet

From the attachment, the dimension of the floor is:

[tex]Length = 12\frac{1}{4}[/tex]

[tex]Width = 5[/tex]

Calculate Area

[tex]Area = Length * Width[/tex]

[tex]Area = 12\frac{1}{4} * 5[/tex]

[tex]Area = 61\frac{1}{4}[/tex]

The area of the tiles is:

[tex]Area = 4\frac{5}{6} * 2\frac{1}{3}[/tex]

[tex]Area = \frac{29}{6} * \frac{7}{3}[/tex]

[tex]Area = \frac{203}{18}[/tex]

[tex]Area = 11\frac{5}{18}[/tex]

So, the carpet area is:

[tex]Area = Floor\ Area - Tile\ Area[/tex]

[tex]Area = 61\frac{1}{4} - 11\frac{5}{18}[/tex]

To improper number

[tex]Area = \frac{245}{4} - \frac{208}{18}[/tex]

Take LCM

[tex]Area = \frac{2205 - 416}{36}[/tex]

[tex]Area = \frac{1789}{36}[/tex]

[tex]Area = 49\frac{25}{36}[/tex]

Consider the function represented by the graph. What is the domain of this function?
A. {x|x=>0}
B. {x|x<=8}
C. {x|0<=x<=8}
D. {x|x<=0x=>8}

Answers

Answer:

I think it is B but i'm not 100% sure.

Step-by-step explanation:

find the product of (5x+4)(5x-4)

Answers

Answer:

25x² - 16

Step-by-step explanation:

Given

(5x + 4)(5x - 4)

Each term in the second factor is multiplied by each term in the first factor, that is

5x(5x - 4) + 4(5x - 4) ← distribute parenthesis

= 25x² - 20x + 20x - 16 ← collect like terms

= 25x² - 16

If you were to roll a standard six sided die, what is the probability of rolling a number less than what three other people rolled?

Answers

0.3333
I assume you mean on a 6-sided die? If so, there are two numbers less than 3: 1 and 2. There are 6 total possible results, so the probability of rolling a number less than 3 is 26 or 13 or 0.3333 .

HELPPP PLEASEE!!!DONT ANSWER IF YOU DONT KNOW!!

Answers

Answer:

-4

Step-by-step explanation:

1. "-4 less than a number is 17."​

Answers

Answer:

yes

Step-by-step explanation:

A pendulum's first swing has an arc of 36 inches. As the pendulum swings back and forth, the arc length for each successive swing is 95% of the previous swing. If this pattern continues, at which swing of the pendulum will the length of the arc be less than 27 inches? A. 5th B. 6th C. 7th D. 9th

Answers

Answer:

7th

Step-by-step explanation:

Given :

Arc length on first swing = 36 inches

After successive swing, arc length decreases by 95%

Length on 2nd swing = 0.95 * 36 = 34.2

Length on 3rd swing = 0.95 * 34.2 = 32. 49

Length on 4th swing = 0.95 * 32.49 = 30.8085

Length on 5th swing = 0.95 * 30.8085 = 29.268075

Length on 6th swing = 0.95 * 29.268075 = 27.80467125

Length on 7th swing = 0.95 * 27.80467125 = 26.4144376875

26.4144376875 < 27

Hence, length falls below 27 on 7th swing

PLSS HELP ME ASAP I WILL EVEN GIVE U BRAINLYEST BUT PLAA HELP ME!!

Is the probability of red a simple event, complement of a
simple event, or neither?
A. complement of a simple event
B. nelther
C. simple event

Answers

Answer:

Complement of an Event: All outcomes that are NOT the event. So the Complement of an event is all the other outcomes (not the ones we want). And together the Event and its Complement make all possible outcomes.

plsss help i’ll give brainliest if you give a correct answer

Answers

Answer:

(-2) and 3

Step-by-step explanation:

Answer:

f=-2, f=3, f=-4, they are all smaller than 4!!!

If Triangle ABC~ triangle DEC, find the value of x and the scale factor from DEC to ABC





Answers

Answer:

see explanation

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

scale factor = [tex]\frac{AC}{DC}[/tex] = [tex]\frac{25}{20}[/tex] = [tex]\frac{5}{4}[/tex]

Then

[tex]\frac{AB}{DE}[/tex] = [tex]\frac{3x-2}{2x}[/tex] = [tex]\frac{5}{4}[/tex] ( cross- multiply )

4(3x - 2) = 10x

12x - 8 = 10x ( subtract 10x from both sides )

2x - 8 = 0 ( add 8 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4

Dax is buying hot chocolate for 5 people in his office (including himself). He pays for the 5 drinks and leaves a $2.00 tip.

If the total, with tip, is $18.25, how much is each cup of hot chocolate?

Enter your answer as a decimal, like this: 42.53

Answers

Answer: Each cup of hot chocolate is $3.25

Step-by-step explanation:

) Hiroki's goal is to collect $40 for a school fundraiser. He has already collected $26.50. Hiroki wants
to know how much more money he needs to collect.
that use the word correctly
ices, press the "Check Me" butto
6 POTE
.) Let m be the amount of money Hiroki still needs to collect.
Describe the situation with an equation.
this town made the first eleva
er and wrote a note on it
vater from the sink is leaking
color of copper coins
m
26.50
40
corper pipes for this project
De

Answers

Answer:

$13.50

Step-by-step explanation:

Subtract 40 from 26.50 to get the answer

john has 19 cookies aailyah has 89 cooking how many do they both have

Answers

Answer:

108 cookies total

Step-by-step explanation:

19+89=108

Answer:

108

Step-by-step explanation:

Good Luck!

Plz show work if ya can so I can understand this thanks

Answers

Answer:

area = 57√3 cm²

Step-by-step explanation:

lower polygon:

14-8 = 6, 6/2 = 3

3 is the base of the lower left triangle

cos 60° = 3/hypotenuse

hypotenuse = 6

height of triangle² = 6² - 3² = 45

height of triangle² = 36 - 9 = 27

height of triangle = √27 = √(9 x 3) = 3√3

area of lower polygon = 1/2(8+14)(3√3) = 33√3 cm²

upper parallelogram:

area = 8(3√3) = 24√3 cm²

total area = 24√3 + 33√3 = 57√3 cm²

A giraffe is 5 meters 20 centimeters tall. An elephant is 1 meter 77 centimeters shorter than the giraffe. A rhinoceros is 1 meter 58 centimeters shorter than the elephant. How tall is the rhinoceros?

Answers

Answer:1 meter and 58 centimeters

Data that's displayed randomly on a scatter plot graph illustrates (please help asap!)

positive correlation.

negative correlation.

none of these.

no correlation.

Answers

No correlation = scattered randomly on a pilot graph

CAN SOME0NE PLEASE HELP MEEE ASAP!!

Answers

Answer:

[tex]x = 35.6[/tex]

Step-by-step explanation:

It is given that figure (HGFE) and figure (LKJI) are similar. Meaning that one must multiply a side of the figure (HGFE) by a number to get the corresponding side length from the figure (LKJI). To find this number, one must divide two corresponding sides.

[tex]\frac{KL}{FE}[/tex]

[tex]=\frac{55}{17}[/tex]

Now to find a missing side in figure (LKJI) one must multiply its corresponding side by ([tex]\frac{55}{17}[/tex]) in figure (HGFE) to find the length of the missing side.

[tex]EF * \frac{55}{17} = JI\\\\11 * \frac{55}{17} = JI\\\\\frac{605}{17} = JI[/tex]

[tex]x = \frac{605}{17}\\\\x=35.6[/tex]

Answer:

IJ ≈ 35.6

Step-by-step explanation:

Since the quadrilaterals are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{IJ}{EF}[/tex] = [tex]\frac{KL}{GH}[/tex] , substitute values

[tex]\frac{IJ}{11}[/tex] = [tex]\frac{55}{17}[/tex] ( cross- multiply )

17 IJ = 605 ( divide both sides by 17 )

IJ ≈ 35.6 ( to the nearest tenth )

Help help help help help help

Answers

Answer:

volume = 160 cm³

Step-by-step explanation:

volume = 4 x 4 x 10 = 160 cm³

160 cm^3

4x4x10 = 160

Cm^3 is the unit for volume

Which expression is equivalent to 3x+2

Answers

Answer:

(3 x X) + 2

Can be a possible way if you factor it out I think.

Find the midpoint between A (8, 2) and B (10, 4)

Answers

Answer:

(9,3)

Step-by-step explanation:

m={(x1+x2)/2,(y1+y2)/2}

m={(8+10)/2,(2+4)/2}

m={9,3}

Hope that helps :)

Allen wants to have a mean of 90 on his math quizzes. So far, he has scored 86, 94, 88, 95, and 89. What is the least score that Allen needs on his next quiz to have a mean of 90?

Answers

Answer:

88

Step-by-step explanation:

[tex] \frac{86 + 94 + 88 + 95 + 89 + x}{6} = 90[/tex]

The mean would be the sum of all the math quiz grades divided by the number of quizzes taken.

Solve for x:

[tex]86 + 94 + 88 + 95 + 89 + x = 540[/tex]

[tex]452 + x = 540[/tex]

[tex]x = 88[/tex]

Thus, Allen needs at least an 88 to obtain a mean of at least 90.

5. find M<C congruent triangles ​

Answers

Answer:

x = 18 / M<C = 114

Step-by-step explanation:

9x - 24 = (2x - 12) + (4x + 42)

9x - 24 = 6x + 30

     +24         +24

9x = 6x + 54

-6x    -6x

3x = 54

/3     /3

x = 18

C = (4x + 42) = 4(18) + 42 = 72 + 42 = 114

Need help asap Please. Thank you​

Answers

Answer:

B. 477°, -243°

Step-by-step explanation:

Coterminal angles with 117° are:

117° + 360°x, where x is an integer

When x = 1 and -1 we get:

117° + 360° = 477° and 117° - 360° = -243°

It can be easily verified that all the other pairs are incorrect

Correct one is B

Can someone tell me how to do this? This is so confusing to me.

Answers

Answer:

A. Rate of Change: 25/1

B. Initial Value: 100

C. Y=25x+100

D. After 6 months the cost is 250$

E. 475=25x+100

475=25x+100

375=25x

x=15

So E. is 15 months

Step-by-step explanation:

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