MATHEMATICS MIDDLE SCHOOL

What is the value of the fourth term in a geometric sequence for which a=15 and r= 1/3

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

hello :

the n-ieme term is : An=A1×r^(n-1)

A1 the first term r : the common ratio

in this exercice : A1 =15 r = 1/3 n = 4

A4=15×(1/3)^(4) =15×4^4 =3840

Related Questions

Samuel is looking at the floor plan of his house to determine how much carpet he needs to buy for his basement. Based on the floor plan of his basement, how can he decompose the measurements into expressions find the area? A) First, find two areas using (4m + 10m = 14m2) and (8m + 3m = 11m2). Next, add (14m2 + 11m2 = 25m2). B) First, find two areas using (4m x 10m = 40m2) and (8m x 3m = 24m2). Next, add (40m2 + 24m2 = 64m2). C) First, find two areas using (4m x 10m = 40m2) and (8m x 3m = 24m2). Next, subtract (40m2 - 24m2 = 16m2). D) First, add all the labeled sides using (4m + 10m + 12m + 3m = 29m2). Next, add the remaining sides (8m + 7m = 15m2).
If the measure of a central angle is 28°, then to find the measure of its arc, you would need to do which of the following?
Numbers that are both larger than –2 and smaller than 3.
How many tens are in the number 359
PLEASE HELP I GIVE THANKS

The number of chips of different colors in Gail's bag is shown below:3 blue chips
4 pink chips
8 white chips
Gail takes out a chip from the bag randomly without looking. She replaces the chip and then takes out another chip from the bag. What is the probability that Gail takes out a white chip in both draws?
A. $(8)/(15)$ + $(7)/(14)$ = $(217)/(210)$
B. $(8)/(15)$ × $(7)/(14)$ = $(56)/(210)$
C. $(8)/(15)$ + $(8)/(15)$ = $(16)/(15)$
D. $(8)/(15)$ × $(8)/(15)$ = $(64)/(225)$

Answers

Answer:

$(8)/(15) * (8)/(15)=(64)/(225)$

Step-by-step explanation:

Given : 3 blue chips

4 pink chips

8 white chips

To Find: What is the probability that Gail takes out a white chip in both draws with replacement?

Solution:

Blue chips =3

Pink chips =4

White chips =8

Total chips = 3+4+8 =15

Now Probability of getting white chip on first draw = $\frac{\text{Number of white chips }}{\text{Total no. of chips}}$

= $(8)/(15)$

Now ,She replaces the chip and then takes out another chip from the bag.

So, Probability of getting white chip on second draw = $(8)/(15)$

Probability of getting white chip in both draws = $(8)/(15) * (8)/(15)=(64)/(225)$

Hence the probability that Gail takes out a white chip in both draws is $(8)/(15) * (8)/(15)=(64)/(225)$

Thus Option D is correct.

most likely the probability is D because my mom said it is d i dont know how she got it

In a word game, you choose a tile from a bag, replace it, and then choose another. If there are 28 vowels and 12 consonants, what is the probability you will choose a consonant and then a vowel?

Answers

Answer:

For consonants the answer is 28/40, which simplified is 7/10.

For vowels the answer is 12/40, which simplified is 3/10.

The following table shows the distance from the bus stop as a function of time:Time (in minutes)
x Distance (in meters)
f(x)
0 45
3 40
6 35
9 30
12 25

Find and interpret the meaning of the x-intercept in this scenario.
(45, 0); the distance away from the bus stop
(27, 0); the time it takes to reach the bus stop
(45, 0); the time it takes to reach the bus stop
(27, 0); the distance away from the bus stop

Answers

Answer: LAST OPTION.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

Find the slope of the line with this formula:

$m=(y_2-y_1)/(x_2-x_1)$

Choose two points from the table and substitute the coordinates into the formula. Then, the slope is:

$m=(40-45)/(3-0)=-(5)/(3)$

By definition, the line intersects the y-axis when the value of "x" is zero ( $x=0$ ).

Based on the table, the y-intercept is:

$b=45$

Then the equation of the line is:

$y=-(5)/(3)x+45$

The line intersects the x-axis when the value of "y" is zero ( $y=0$ ), then you can substitute these value into the equation and solve for "x":

$0=-(5)/(3)x+45\n\nx=27$

So, you get the point:

$(27,0)$

Since the table shows the distance from the bus stop as a function of time, you can conclude that meaning of the x-intercept in this scenario is: "The distance away from the bus stop".

Answer: (27, 0); the distance away from the bus stop

3/8 times 4/11 I really need help please help me please

Answers

$(3)/(8)*(4)/(11)=(3*\not4^1)/(\not8_2*11)=(3*1)/(2*11)=\boxed{(3)/(22)}$

How do i solve 4/9+5/6

Answers

We must find the common denominator.

It's LCM of 9 and 6.

Multiples of 6: 0, 6, 12, 18, 24, ...

Multiples of 9: 0, 9, 18, 27, ...

LCM(6, 9) = 18

18 = 3 · 6

18 = 2 · 9

$(4)/(9)=(4\cdot2)/(9\cdot2)=(8)/(18)\n\n(5)/(6)=(5\cdot3)/(6\cdot3)=(15)/(18)\n\n(4)/(9)+(5)/(6)=(8)/(18)+(15)/(18)=(8+15)/(18)=(23)/(18)=(18+5)/(18)=1(5)/(18)$

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Other method:

$(4)/(9)+(5)/(6)=(4\cdot6)/(9\cdot6)+(5\cdot9)/(6\cdot9)=(24)/(54)+(45)/(54)=(24+45)/(54)=(69)/(54)=(54+15)/(54)\n\n=1(15)/(54)=1(15:3)/(54:3)=1(5)/(18)$