Answers
Answer it is B
Step-by-step explanation:
Answer:
[tex] r^2 [/tex]
All choices are incorrect.
Step-by-step explanation:
Remember that [tex] r = r^1 [/tex].
Also remember the rule: [tex] \dfrac{a^m}{a^n} = a^{m - n} [/tex]
[tex] \dfrac{r^3}{r} = [/tex]
[tex] = \dfrac{r^3}{r^1} [/tex]
[tex] = r^{3 - 1} [/tex]
[tex] = r^2 [/tex]
Answer: [tex] r^2 [/tex]
All choices are incorrect.
Related Questions
The fifth term of a geometric sequence is 32 and the eighth term is 4.
(a) Find the ratio. (2 marks)
(b) Find the first term. (2 marks)
(C) Find the sum of the first 50 terms of the sequence. (3 marks)
What is the first term?
Answers
Answer:
a. 1/2
b. 512
c. 1024
Step-by-step explanation:
The nth term of a geometric progression can be written as;
Tn = ar^n-1
where a is the first term, r is the common ratio and n is the term number
From the question;
Fifth term = ar^4 = 32
Eight term = ar^7 = 4
a. We want to find the common ratio
What to do here is that we can divide the 8th by the 5th term
ar^7/ar^4 = 4/32
r^3 = 1/8
r^3 = (1/2)^3
Thus r = 1/2
b. First term
we can make a substitution in any of the two given terms
Let’s use the fifth term
ar^4 = 32
a * (1/2)^4 = 32
a * 1/16 = 32
a = 16 * 32
a = 512
C. Sum of the first 50 terms
To calculate this, we use the sum of terms formula
Sn = a(1- r^n)/1-r
a = 512 , n = 50 and r = 1/2
Making the substitution;
Sn = 512(1-(1/2)^50)/1-1/2
Kindly note that (1/2)^50 will be infinitesimally small and will be close to zero
So we can approximate (1/2)^50 to be zero
Hence;
Sn = 512(1-0)/0.5
Sn = 512/0.5
Sn = 1024
What is the solution to the equation -6x + 9 – 4x = 14? I need some more help
Answers
Answer:
x= - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given
- 6x + 9 - 4x = 14, that is
- 10x + 9 = 14 ( subtract 9 from both sides )
- 10x = 5 ( divide both sides by - 10 )
x = [tex]\frac{5}{-10}[/tex] = - [tex]\frac{1}{2}[/tex]
Find a general term a, for the sequence whose first four terms are given.
1 /1,1/4,1/9,1/16
Answers
Answer:
an = 1/n^2
Step-by-step explanation:
We notice that the denominators are the squares of successive integers. The general term will be ...
[tex]\boxed{a_n=\dfrac{1}{n^2}}[/tex]
3/5(1 + p) = 21/20
find the solution to p
Answers
Answer:
3/4
Step-by-step explanation:
3/5(1+p)-21/20
3/5+3/5p=21/20
3/5p=21/20-3/5
3/5p=21/20-12/20
3/5p=9/20
p=9/20÷3/5
p=9/20*5/3
p=45/60
p=3/4
3/4 of a cup of pasta sauce for every 12 ounces whats the unit rate
Answers
Answer:
the unit rate is 1/4 every 4 ounces
Step-by-step explanation:
12/3=4 3/3=1 so 1/4 of a cup every 4 ounces.
Can someone please check this chart I made for me?
Answers
Answer:
I think it's great.
Good job!
Find the distance between the points L(7, -1) and M(-2, 4).
Answers
Answer:
(5-5)
Step-by-step explanation:
hope this helped
Answer:Not correct
Step-by-step explanation:
Solve the system of linear equation. 2x-5= 14
3x+2y = 40
Answers
Answer:
x=9.5, y=5.75
Step-by-step explanation:
2x-5=14, 3x+2y=40
focus on 2x-5=14 first:
2x-5=14 (add 5 to both sides) 2x=19(divide both sides by 2) x=9.5
Now subtitute x into the second equation and find y:
3(9.5)+2y=40(simplify) 28.5+2y=40(subtract 28.5 on both sides) 2y=11.5(divide both sides by 2) y=5.75
First take 2x-5=14
= 2x=14+5 ; 2x=19 ; x=19/2=9.5
Now take 3x+2y=40; We substitute the value of x with 9.5. So the equation is-
=3*9.5+2y=40 ; 2y+28.5=40 ; 2y=40-28.5=11.5 ; y=11.5/2=5.75.
Thank you and hope it helped
how do you solve 7 - x = -11 * EXTRA POINTS
Answers
Answer:
X = -18
Step-by-step explanation:
7-18=-11
-X=-18
Change the signs
X=18
solve this equation 3/10x-4=40-2x
Answers
I Am Pretty Sure The Answer Is x=440/23
Hope This Help's
Please help me with this question ASAP Inequalities 9+3/5x>81/5
Answers
Answer:
9+3/5x-(81/5)=0
Step-by-step explanation:
pleseeeeeeeeeeeeeee helllllllppppp fassttttty pleaseeeeeeeee
Answers
Answer:
0.10
Step-by-step explanation:
[tex]0.15 = \frac{15}{100} \\ 0.40 = \frac{40}{100} \\ 0.35 = \frac{35}{100} \\ [/tex]
Since all of them have the denominator as 100,
the total no. of sweets must be 100. So,
No of strawberries= 100-15-40-35
= 10
p(taking a strawberry sweet)= 10/100
= 0.10
Answer:
0.10
Step-by-step explanation: did work
) A train leaves Hamilton at 9.50 am and arrives in Wellington at 7.25pm. Work out, in hours and minutes, the time taken for this journey.
Answers
this is your answer.............
if it is 9:39 what time would it be a hour and a half later
Answers
Answer:
It would be 11:09
Answer:
11:09
Step-by-step explanation:
30 mins after 9:30 is 10pm,add an hour that's 11 pm plus the 9 additional minutes its 11:09
Jordan will hike a 10 mile trail at a rate of 2 mi/h. Write a linear equation to represent the distance of the trail that Jordan still has to hike after x hours. What does the y-intercept of the equation represent?
Answers
Answer:
y = 10 -2x; 10 is the length of the trail
Step-by-step explanation:
Jordan's remaining distance starts at 10 miles, and decreases 2 miles each hour:
y = -2x +10
The y-intercept is the length of the trail.
1) 3(3x - 4) = -2(1 – 4x)
Answers
3
(
3
x
−
4
)
=
−
2
(
1
−
4
x
)
Step 1: Simplify both sides of the equation.
3
(
3
x
−
4
)
=
−
2
(
1
−
4
x
)
(
3
)
(
3
x
)
+
(
3
)
(
−
4
)
=
(
−
2
)
(
1
)
+
(
−
2
)
(
−
4
x
)
(Distribute)
9
x
+
−
12
=
−
2
+
8
x
9
x
−
12
=
8
x
−
2
Step 2: Subtract 8x from both sides.
9
x
−
12
−
8
x
=
8
x
−
2
−
8
x
x
−
12
=
−
2
Step 3: Add 12 to both sides.
x
−
12
+
12
=
−
2
+
12
x
=
10
Answer:
x = 10
Step-by-step explanation:
3(3x - 4) = -2(1 - 4x)
9x - 12 = -2 + 8x
9x - 8x = -2 + 12
x = 10
Hope this helps!
Mr.Joseph recently received a notice that his average gas and electric bill would increase at the beginning of the year. He went online to see the amount of his last 12 bills. If his average bill over the past 12 month goes up 17%, what can he expect to pay on average next year.
Answers
Answer:
about 2,546
Step-by-step explanation:
2x−1=34x+9
can someone solve this ?
Answers
Answer:
25
Step-by-step explanation:
9+25=34
Explain what mistake was made in the problem below and what should be the
right answer.
Student Work:
2(x + 4) – 8 = 3x+10-4
2x + 8–8 = 3x + 6
2x = 3x + 6
- 3x – 3x
X = 6
Answers
Answer:
Instead of moving the 3x to the opposite side of the equation they moved the 2x. And the correct answer is x=-6 not x=6.
Step-by-step explanation:
Student Work:
2(x + 4) – 8 = 3x+10-4
2x + 8–8 = 3x + 6
2x = 3x + 6
- 3x – 3x
X = 6
My work:
2(x+4)-8=3x+10-4
2x+8-8=3x+6
2x=3x+6
-x=6
x=-6
X+y=-4
2x+4y=-12
Stop by substitution
Answers
Answer:
X=4-y
2(4-y)+4y=12
8-2y+4y=12
2y=12-8
2y=4
y=4/2
y=2
x=4-y
x=4-2
x=2
3/2a-8=11 URGENT ANSWERRRRRRR
Answers
Answer:
38/3
Step-by-step explanation:
3/2a-8=11
3/2a=19 add 8 to each side
i forget the rest of the steps smh
Answer:
38/3
Step-by-step explanation:
3/2A-8=11
3A/2=11+8
3A/2=19 CROSS MULTIPLY
3A=38
A=38/3
What value of q satisfies this equation?
59 + 5q = 159 - 11
Answers
Answer:
0,454
Step-by-step explanation:
= 59 + 5q = 159q - 11
= 5q - 159q = 11 + 59
= 154q = 70
= q = 70 : 154
= q = 0,454
Answer:
89/5 or 17.8
Step-by-step explanation:
A ten-pin boeling ball has the volume of about 5374 cm^3. A cadlepin bolwing ball has a volume of about 48 in^3. About how much greater is the volume of ten-pin bowling ball than the volume of candlepin bowling ball.
Answers
Answer: 16122/144= 111.95
Step-by-step explanation: 5374cm^3=16122 48in^3=144= 111.95
Write 821 in scientific notation
Answers
Answer:
8.21 x 102
Step-by-step explanation:
cus thats the answer
Three sisters have ages that are consecutive odd integers. Their combined ages is 51.
How old is the youngest sister?
Answers
What is the inverse of the following function? y = 12x −6
Answers
Answer:
f ^−1(x)=x/12+1/2
Step-by-step explanation:
i need help im to lazy right now (5y+3)(3y-6
Answers
Answer:
15y²-21y-18
Step-by-step explanation:
(5y+3)(3y-6)15y²-30y+9y-1815y²-21y-18The property can be used to remove the parentheses in the expression 1.7(x + 9).
Answers
Answer: Distributive property
what is 6.257 x 10^-7
Answers
Answer:
-62570000
Step-by-step explanation:
6.257× -10000000
-62570000
5(1-b)=8(b+2) solve for b
Answers
Step-by-step explanation:
Hey there!!
Here,
[tex]5(1 - b) = 8(b + 2)[/tex]
[tex] \: \: \: \: \: 5 - 5b = 8b + 16[/tex]
[tex] \: \: \: \: \: \: \: 8b + 5b = 5 - 16[/tex]
[tex] \: \: \: \: \: \: \: 13b = - 11[/tex]
[tex] \: \: \: \: \: \: \: b = \frac{ - 11}{13} [/tex]
Therefore the value of b is -11/13.
Hope it helps...
Step-by-step explanation:
first open up the brackets according to BODMAS to get
5-5b=8b+16
then collect like terms together and make sure to change the sighns eg - becomes +
5-16=8b+5b
you get
-11=13b
then divide both sides with 13 to get b
-11/13=b ( you can leave as a negative decimal according to the question)