simplify the following ;giving your answers in index form
Answer:
[tex] \frac{ {6}^{10} }{ {6}^{3} } \\ = \frac{ {6}^{3} \times {6}^{7} }{ {6}^{3} } \\ = {6}^{7} \\ thank \: you[/tex]
Find the first four terms of the sequence given ai
31 and an+1
an
3.
Answer:
he arithmetic sequence ai is defined by the formula: a1= 2 ai= ai - 1 -3 find the sum of the first 335 terms in the sequence
Step-by-step explanation:
In an arithmetic sequence,
a_1=2a
1
=2
a_i=a_{i-1}-3a
i
=a
i−1
−3
To find:
The sum of the first 335 terms in the given sequence.
Solution:
The recursive formula of an arithmetic sequence is:
a_i=a_{i-1}+da
i
=a
i−1
+d ...(i)
Where, d is the common difference.
We have,
a_i=a_{i-1}-3a
i
=a
i−1
−3 ...(ii)
On comparing (i) and (ii), we get
d=-3d=−3
The sum of first i terms of an arithmetic sequence is:
S_i=\dfrac{i}{2}[2a+(i-1)d]S
i
=
2
i
[2a+(i−1)d]
Putting i=335,a=2,d=-3i=335,a=2,d=−3 , we get
S_{335}=\dfrac{335}{2}[2(2)+(335-1)(-3)]S
335
=
2
335
[2(2)+(335−1)(−3)]
S_{335}=\dfrac{335}{2}[4+(334)(-3)]S
335
=
2
335
[4+(334)(−3)]
S_{335}=\dfrac{335}{2}[4-1002]S
335
=
2
335
[4−1002]
S_{335}=\dfrac{335}{2}(-998)S
335
=
2
335
(−998)
On further simplification, we get
S_{335}=335\times (-499)S
335
=335×(−499)
S_{335}=-167165S
335
=−167165
Therefore, the sum of the first 335 terms in the given sequence is -167165.
How do you make these diagrams??
Answer:
a. ▲▲△
b. ▲▲▲▲▲▲▲▲▲△△△△△△△
c.▲▲▲▲▲▲ △△△
I'm backk!! School has officially started... here we go again
+*♡ FREE QUESTION!! ♡*+
congrats? Im not sure what to say.
Ted mixed together 3 gal. of Brand A fruit
drink and 6 gal. of Brand B fruit drink
which contains 20% fruit juice. Find the
percent of fruit juice in Brand A if the
mixture contained 25% fruit juice.
Answer:
The mixture for Brand A fruit is 5%.
A marathon is a 26-mile race. An athlete is running a marathon that eventually finishes at a local high school. After x minutes, the distance the athlete is from the school is given by y(in miles), where x+10y=260
If the runner ran for 40min from the start line, what is the remaining distance between the runner and the school?
Step-by-step explanation:
by deleted user on here.
(x-2)/(x+1)=1/2 . find x
Answer:
x=5
Step-by-step explanation:
(x-2)/(x+1)=1/2, we use that a/b = c/d is the same as a*d = c*b
2*(x-2) = 1* (x+1), distribute multiplication over subtraction
2x -4 = x +1 , subtract x and add 4 to both sides
2x -x = 1 +4, combine like terms
x = 5
Answer: x = 5
Solve:
Given
(x - 2) / (x + 1) = 1/2
Cross multiply applied
1 (x + 1) = 2 (x - 2)
Expand parentheses and apply the distributive property
x + 1 = 2x - 4
Add 4 on both sides
x + 1 + 4 = 2x - 4 + 4
x + 5 = 2x
Subtract x on both sides
x + 5 - x = 2x - x
x = 5
Check:
Left-hand side = (x - 2) / (x + 1) = (5 - 2) / (5 + 1) = 3/6 = 1/2
Right-hand side = 1/2
1/2 = 1/2
Hope this helps!! :)
Please let me know if you have any questions
help me please???????
Answer:
(√2) / 3
Step-by-step explanation:
√(2/9) =√(2/3^2) =(√2)/3
Answer:
It is
[tex]{ \underline{ \sf{ \frac{ \sqrt{2} }{3} }}}[/tex]
Step-by-step explanation:
[tex] \sqrt{ \frac{2}{9} } \\ \\ = \frac{ \sqrt{2} }{ \sqrt{9} } \\ \\ = \frac{ \sqrt{2} }{3} [/tex]
I need help dont just add both numbers ill give extra hundrend after you answer
Answer:
28
Step-by-step explanation:
According to the question,
2 helmets and 1 football cost $80, while 1 helmet and 2 football cost $76
Let x represent cost of football and let y equal cost of helmet.
Write the system of equations,
[tex]x +2 y = 80[/tex]
[tex]2x + y = 76[/tex]
Eliminate the x variable by multiplying the top equation by -2
[tex] - 2x - 4y = - 160[/tex]
[tex]2x + y = 76[/tex]
Add both equations.
[tex] - 3y = - 84[/tex]
[tex]y = 28[/tex]
So one helmet cost $28
find x step by step
Answer:
[tex] \frac{4 + (x + 1)}{x + 1} = \frac{16}{12} \\ \\ \frac{5 + x}{x + 1} = \frac{16}{12} \\ \\ 12(5 + x) = 16(x + 1) \\ 60 + 12x = 16x + 16 \\ 4x = 44 \\ x = 11[/tex]
Answer:
x = 11 cm
Step-by-step explanation:
Segments DE and BC are parallel (that's what the arrows tell you), so there are two similar triangles formed.
[tex]\triangle{ADE} \sim \triangle{ABC}[/tex]
Corresponding sides are in proportion, so
[tex]\frac{AD}{AB}=\frac{12}{16}[/tex]
The length of AB is (x + 1) + 4 = x + 5, and 12/16 simplifies to 3/4, so
[tex]\frac{x+1}{x+5}=\frac{3}{4}[/tex]
"Cross multiply" to get
[tex]4(x+1)=3(x+5)\\4x+4=3x+15\\4x=3x+11\\x=11[/tex]
PLEASE HELP FAST
bx = -5
Bananas are $0.59/pound what is the constant of proportionality?
Answer:
Step-by-step explanation:
y = k x
Total cost = y
number of pounds = x
constant = 0.59
Equation
y = 0.59 x
NẾU BẠN BÌNH CÓ 34 QUẢ TÁO, BẠN AN LẤY ĐI TỔNG CỘNG 23 QUẢ. HỎI AN CÓ BAO NHIÊU QUẢ TÁO
Answer:
Bạn An có 23 quả táo
Step-by-step explanation:
Vì AN lấy đi 23 quả táo nên số táo vẫn bằng như thế
A car traveling 55.0 miles per hour. Convert this to meters per second.
Answer:
24.587
Step-by-step explanation:
divide the speed value by 2.237
Which answer choice correctly shows 450 written as a Roman numeral?
A. CCCCL
B. DMC
C. DCL
D.CDL
Answer:
D.(CDL)
Step-by-step explanation:
Answer:
CDL
Step-by-step explanation:
C is 100
D is 500
500-100=400
L is 50
400+50=450
An alloy that is 30% silver is mixed with 200 g of a
10% silver alloy. How much of the 30% alloy must
be used to obtain an alloy that is 24% silver?
show work plz
Answer:
The answer is [tex]466\frac{2}{3}\,g[/tex]
Step-by-step explanation:
Let,
Amount of alloy with 30% silver = x g
Given,
Amount of alloy with 10% silver = 200 g
So, Total Amount of alloy with 24% silver = (x+200) g
Now,
[tex]x*0.30+200*0.10=(x+200)*0.24\\=>0.30x+20=0.24x+48\\=>0.06x=28\\x=466\frac{2}{3}\,g=466.67\,g[/tex]
Hope you have understood this....
pls mark my answer as the brainliest
what are the answers?
Answer:
that picture ant even clear
Step-by-step explanation:
can someone please help me with this?
Answer:
These are the missing numbers
Sec1
A. 12, 29/2, 17 (arithmetic)
C. 3/16, 3/32, 3/64 (geometric)
D. 17, 33, 65 (neither)
Sec2
A. 8, 48 (growth)
B. 16, 32 (growth)
C. 1, 2 (rate)
Step-by-step explanation:
Section 1
A. add by 2.5 or 5/2
C. multiply by 1/2
D. double the value-added
Section2
A & B. multiply by 2
C. add 1/2
How do write nine billion, seven hundred million, forty-five thousand, three hundred six in standard form
Answer:
9,700,045,306
Step-by-step explanation:
there you go!
Step-by-step explanation:
nine billion, seven hundred million, forty-five thousand, three hundred six
9,700,045,306
In how many days could 20 boys do a peice of work which 25 boys can do in 32 days ?
baiiiiwiedujjjdjdhsb20
a father has 4,500 naira to distribute among his children how much would a child with 30percent share get. how much would a child with 45percent get
Answer:
30%=1350
45%=2025
Step-by-step explanation:
30% of 4500 = 0.30 × 4500
=1350
45% of 4500 = 0.45 × 4500
=2025
How do you simplify a fraction with a denominator of a variable like this
6x/x
Step-by-step explanation:
The x's will simply cancel each other out and you will be left with a 6
hope it makes sense
:)
plz help!! will mark brainliest
Step-by-step explanation:
x + 4 + 3x = 72 Let's agroup all the x
4x + 4 = 72 Subtract 4 on both sides
4x = 68 Divide both sides by 4
x = 17
x + 3 + x – 8 + x = 55 Let's agroup all the x
3x + 3 – 8 = 55 Solve 3 – 8
3x – 5 = 55 Add 5 on both sides
3x = 60 divide both sides by 3
x = 20
What is the area of a triangle if height is 4cm find the base also plsss help me please
Answer:
This is the formula u can use but the parameters are not complete
Step-by-step explanation:
b=2 A/h
Answer:
8 cm^2.
Step-by-step explanation:
Area = 1/2 * base * height
= 1/2 * 4 * 4
= 8.
will mark brainliest please help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
32 dollar
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Is 15.7 an integer ,whole number,natural number
hey please help i’ll give brain
Hi ;-)
[tex]3\cdot\boxed9=9\cdot3[/tex]
Answer:
3 × 9 = 9 × 3
Step-by-step explanation:
4 ÷ 1 1/8 Answer must be in simplest form
Answer:
4÷ 1 1 /8 = 32 /9 = 3 5 /9
What is the correct domain and range in set notation
Answer:
Step-by-step explanation:
The domain is
{x|x≥0}
{y|y is all real numbers}
which of the following equations represents the graph below
Answer:
Step-by-step explanation:
answer B
since for all real positive r, r^x >0
The unique function who give a negative answer is f(x)=-3* 2^x