Answer:
The 8th term of the geometric sequence 5, -15, 45, ... is:
[tex]a_8=-10935[/tex]
Step-by-step explanation:
Given the geometric sequence
5, -15, 45, ...
The first element of the geometric sequence is
[tex]a_1=5[/tex]
A geometric sequence has a constant ratio 'r' and is defined by
[tex]a_n=a_1\cdot r^{n-1}[/tex]
computing the ratios of all the adjacent terms
[tex]\frac{-15}{5}=-3,\:\quad \frac{45}{-15}=-3[/tex]
The ratio between all the adjacent terms is the same and equal to
[tex]r=-3[/tex]
substituting [tex]a_1=5[/tex], and [tex]r=-3[/tex] in the nth term
[tex]a_n=a_1\cdot r^{n-1}[/tex]
[tex]a_n=5\left(-3\right)^{n-1}[/tex]
Determining the 8th term:
We have already got the nth term
[tex]a_n=5\left(-3\right)^{n-1}[/tex]
substituting n = 8 to determine the 8th term
[tex]a_n=5\left(-3\right)^{n-1}[/tex]
[tex]a_8=5\left(-3\right)^{8-1}[/tex]
[tex]a_8=5\left(-3^7\right)[/tex]
[tex]a_8=-5\cdot \:3^7[/tex]
[tex]a_8=-5\cdot \:2187[/tex]
[tex]a_8=-10935[/tex]
Therefore, the 8th term of the geometric sequence 5, -15, 45, ... is:
[tex]a_8=-10935[/tex]
given vxy and vwz what is vw
Answer:
VW=21.6
Step-by-step explanation:
VW/(44-27.5)=36/27.5
VW/16.5=36/27.5
27.5SW=36(16.5)
27.5VW=594
VW=21.6
Divide € 165 into the ratio 1:2:12
Answer:
11 : 22 : 132
Step-by-step explanation:
1 + 2 + 12 = 15
165 ÷ 15 = 11
1 × 11 = 11
2 × 11 = 22
12 × 11 = 132
11 : 22 : 132
PLEASE PLEASE PLEASE HELP ME
1.8 = 2.1h - 5.7 - 4.6h
h= __
Answer:
how are you doing
Step-by-step explanation:
A store sells posters each poster cost the same amount door I sell the store reduces the price of each poster by $1.25 Kayla spent $17.17 on for posters at the sale price. What was the price of one poster before the sale?
Complete question :
store sells posters each poster cost the same amount door I sell the store reduces the price of each poster by $1.25 Kayla spent $17.17 on four posters at the sale price. What was the price of one poster before the sale
Answer:
5.5425
Step-by-step explanation:
Given that:
Price of posters are the same.
Let price of poster before sale = x
Sale on poster = reduction by $1.25
Price on sale = x - 1.25
Amount spent on 4 posters during sale = $17.17
Hence, cost per poster during sale :
$17.17 / 4
= $4.2925
Therefore, cost per poster before sale, x:
Price on sale = x - 1.25
$4.2925 = x - 1.25
x = $4.2925 + $1.25
x = $5.5425
**15 Points**
Find the rate of change.
Graph attached
A. –7,500; The value drops $7,500 every year.
B. –750; The value drops $750 every year.
C. –75; The value drops $75 every year.
D. –1; The value drops $1 every year.
Answer:
B
Step-by-step explanation:
what type of error, if any, occurs in the following deduction?
All people drive cars to work
Gavin drives to work
therefore, Gavin drives a car
Answer:
No error
Step-by-step explanation:
Everything is true
all drive to work ( includes Gavin because he go to work)
(can I please have brainiest, I am one crown away )
14.3-352-2
i need helppppp
Answer:
-339.7
Step-by-step explanation:
quickmaths
Answer: 335.7
Step-by-step explanation:
If the problem is
14.3
-352
2
———
335.7
Luke picked 16 quarts of strawberries. How many gallons did he pick? (Just put the number below.
Answer:
there would be 4 gallons of strawberry
Step-by-step explanation:
Since 4 quart equal to 1 gallon then 16 quarts would equal 4 gallons
last 60 points i got whoever answers first and correct gets brainliest
(50+50-90)/2+95/2+19
have a good day and drink water :)
Answer:
try 71.5
or
143/2
Step-by-step explanation:
Answer:
-187,190
i hope this help
The formula for the area of a square is s to the second power if the length of the slide is 4.14 what is the area
Answer:
A = 17.1396 units
Step-by-step explanation:
A = s^2
A = 4.14^2
A = 17.1396 units
solve z=9/13 c for c
Answer:
3x-x+2=4 :)
Step-by-step explanation:
Hope this helped! :3
Five sodas at the gas station
cost $12.75. How much
does one soda cost?
Answer:
The answer is 2.55
Step-by-step explanation:
12.75 / 5
= 2.55
Answer:
Step-by-step explanation: each soda cost $2.55
Hope it helps Bro
and can you name me brainliest please
Translate ƒ(x) = |x| so that it's translated up by 5 units and vertically stretched by a factor of 3. What's the new function g(x)? Question 20 options: A) g(x) = |3x| + 5 B) g(x) = |3x| +–5 C) g(x) = 3|x| +–5 D) g(x) = 3|x| + 5
Given:
The parent absolute function is
[tex]f(x)=|x|[/tex]
To find:
The new function if the parent function is translated up by 5 units and vertically stretched by a factor of 3.
Solution:
The translation is defined as
[tex]g(x)=kf(x+a)+b[/tex] .... (1)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
Parent function is translated up by 5 units. So, b=5
It is vertically stretched by a factor of 3. So, k=3.
There is no horizontal shift. So, a=0.
Now, putting k=3, a=0 and b=5 in (1), we get
[tex]g(x)=3f(x+0)+5[/tex]
[tex]g(x)=3f(x)+5[/tex]
[tex]g(x)=3|x|+5[/tex] [tex][\because f(x)=|x|][/tex]
Therefore, the correct option is D.
the value of √42 is
a. rational
b. irrational
number. It’s value is
between
a. 3 and 5
b. 5 and 7
c. 7 and 9
Answer:
the value of √42 is an irrational number.
Step-by-step explanation:
also the number, its value is between 5 and 7
Answer:
irrational number.
bm 5 and 7
The sale tax on $25,000 car is $1375 what is the sales tax rate
Answer:
Tax rate is 5.5% because 1,375/25,000 is equal to 0.055 which is 5.5 in percentage form. To prove it you can multiply 25,000 by 0.055 and get 1,375.
Step-by-step explanation:
Sales tax rate is 5.5% of cost of car.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given,
Price of the car = $25000
Tax on car = $1375
Sales tax rate = ($1375/$25000)×100
= 0.055 × 100
= 5.5%
5.5 % of sales tax is applied on the cost of car.
Learn more about percentage here:
https://brainly.com/question/1578304
#SPJ2
6(x + 3) − 3 = 39 whats the solution of x?
Answer:
x = 4
Step-by-step explanation:
6(x+3)-3= 39
6x+18-3 =39
6x+15 =39
-15 -15
6x= 24
/6 /6
x=4
Answer:
x=4
Step-by-step explanation:
Do distributive property
6(x + 3) − 3 = 39(multiply 6 by all the numbers in the brackets)
6x+18=39 (subtract 18 on both sides)
6x=24 (divide 6 on both sides)
x=4
Necesito ayuda con esto :(
expanding linear (single) brackets 3-3(x-2)
Answer:
9-3x
Step-by-step explanation:
3-3 (x-2)
3-3x+6
-3x+6+3
9-3x
Can someone please help me it would mean a lot thank you.
Answer:
1: 0
2: 2
3: 8
4: 0
5: -19
6: 6
7: -9
8: -4
9: 10
10: 1
11: -9
12: 20
13: -29
14: 17
15: 29
16: 29
Step-by-step explanation:
They are all in order.
Answer:
left from top to bottom- Right from Top to Bottom
0 10
2 1
-20 -9
0 20
-19 -29
6 17
-9 29
-4 29
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
11, 14,17,... find the 42nd term
help plz and give the correct answer plz will give brainly
IT'S URGENT
Question 1
Write in simplest form.
- 12r + 8 + 3r + 1.75
Answer:
-9r +9.75
Step-by-step explanation:
- 12r + 8 + 3r + 1.75
Combine like terms
- 12r + 3r + 1.75 + 8
-9r +9.75
Answer: -9r+9.75
Step-by-step explanation:
combine like terms which gives you -12r+3r=9r, and 8+1.75=9.75
therefore, -9r+9.75
PLEASE HELP WILL MARK BRAINLIEST
Answer:
+95
Step-by-step explanation:
anything above sea level is positive and anything below is negative
Answer:+ 95
Step-by-step explanation:
It’s above sea level
Find three different ratios that are equivalent to the ratio 3 : 11
Answer:
6:22
12:44
30:110
Step-by-step explanation:
3 × 2 = 6, 11 × 2 = 22; put them together: 6:22
3 × 4 = 12, 11 × 4 = 44; put them together: 12:44
3 × 10 = 30, 11 × 10 = 110; put them together: 30:110
Answer:
Step-by-step explanation:
(3:11) x 2= 6:22
(3:11) x 3 = 9:33
(3:11) x 4 = 12:44
Here if you divide the ratios by the number you multiplied them with, it will give you 3:11.
PLSS HELP ITS REALLY URGENT!!
Answer:
x=13
Step-by-step explanation:
(i'm not 100 percent sure thoo)
Answer:
x=1
Step-by-step explanation:
13x-12=7x-6
+12 +12
13x=7x+6
-7x -7x
6x=6
x=1
Brainliestis there is steps What is the solution to the equation log〖 (2x+4)〗=2 ? Round to the nearest hundredth, if necessary.
Answer:
x = 48
Step-by-step explanation:
log〖 (2x+4)〗=2
Raise each side to the base of 10
10 ^log〖 (2x+4)〗=10^2
The 10 ^log cancels
2x+4 = 100
Subtract 4 from each side
2x+4-4 = 100-4
2x = 96
Divide by 2
2x/2 = 96/2
x =48
Hey y’all can y’all plz help me for brainliest
Answer:
7.
Step-by-step explanation:
Answer:
It’s 7. Algebra like the only thing in math I’m good at
Step-by-step explanation:
Raul and Bobby are brothers who are saving to buy a new video game console. Bobby contributed $25 and plans to save $10 per week. Raul contributed $20 and plans to save $15 per week. What expression represents the total amount Bobby and Raul will have in w weeks
Answer:
25+20+(10w+15w)
Step-by-step explanation:
in the parenthisis is what they get each week
so each week its starts with 45 plus what ever they get each week and what ever they get times w for each week so if they do it for 5 weeks its
25+20+[(10x5)+(15x5)]
45+(50+75)= 170
What expression is equivalent to 7.2x7.2x7.2
Step-by-step explanation: 7.2^3 or 7.2 cubed=373.248. I hope I helped.