Answer:
The first five terms are -1,4,9,14 and 19.
Step-by-step explanation:
The arithmetic sequence is :
[tex]T_n=5n-6[/tex]
We need to find the first five terms of the sequence.
Put n = 1 for first term.
[tex]T_1=5(1)-6=-1[/tex]
Put n = 2 for second term.
[tex]T_2=5(2)-6=\\\\=10-6\\\\=4[/tex]
Put n = 3 for third term.
[tex]T_3=5(3)-6=\\\\=15-6\\\\=9[/tex]
Put n = 4 for fourth term.
[tex]T_4=5(4)-6=\\\\=20-6\\\\=14[/tex]
Put n = 5 for fifth term.
[tex]T_3=5(5)-6=\\\\=25-6\\\\=19[/tex]
Hence, the first five terms are -1,4,9,14 and 19.
Simplify the expression by combining like terms.
2x + 4y + 6 + 2y - 5 + 3x 
Mr. Pham wrote the equation below on the board.
18 - 7x=-20.5
What is the value of x?
Answer:
X = 5.5Step-by-step explanation:
18 - 7x = -20.5
18 + 20.5 = 7X
38.5 = 7X
X = 38.5/7
X = 5.5
What is the solution to the system of equations graphed below? (-5,1). (1,-5). (3,-4). (-4,3)
Answer:
(-5,1)
Step-by-step explanation:
Because the red line (graphical representation of one equation) and the blue line (graphical representation of the other equation) intersect at (-5,1), the solution to the systems of equations is (-5,1).
find the product m2n × mn2 × (-m3n3)
Answer:
-m^6n^6
Step-by-step explanation:
I think m2n means m^2n .
Please Help
2/3(9x−15)−4x −5
c) x 3
Answer:
2/3 . 9x-2/3. 15-4x-5
=2 .3x -2 .5-4x-5
=6x-10-4x-5
=2x-5
What is the compound interest on investing $600 for 3 years at 7% per annum?
Answer:
About $735.03
Step-by-step explanation:
The compound interest formula is A=P(1+r/n)^nt
P is the original amount (principal)
r is the rate
n is the number of times compounded (1 for this one since it is annual)
and t is the time compounded
Need help extra points and mark brainlyist
easy vector problem! show work/explain please :)
Answer:
Step-by-step explanation:
a = 2i + 3j + zk
b = xi + 1j + 4k
Given a X b = 6i -14j +5k
a X b = | i j k|
|2 3 z|
|x 1 4|
a X b = i(12-z) - j(8 - xz) + k(2-3x) = 6i -14j +5k
equate the coefficients of i , j and k
12- z = 6; implies z = 6
8 - xz = -14 implies 8 - 6x = -14
2-3x = 5 implies 2 - 3x = 5 implies x = -1
what times what equals 3/8
Answer:
1/8 * 3
Step-by-step explanation:
1/8*3 means the numerator gets multiplied by 3 so we get (1*3)/8 which is 3/8
The equivalent value of the fraction is A = 3/8 = ( 3/4 ) ( 1/2 )
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first fraction be p
Let the second fraction be q
Now , A = pq
when the value of p = 3/4
And , when the value of q = 1/2
On simplifying the equation , we get
3/8 = ( 3/4 ) ( 1/2 )
So , the left hand side of the equation is equated to the right hand side by the value of ( 3/4 ) ( 1/2 )
A = ( 3/4 ) ( 1/2 )
A = 3/8
Therefore , the value of A = 3/8 = ( 3/4 ) ( 1/2 )
Hence , the fraction is A = 3/8 = ( 3/4 ) ( 1/2 )
To learn more about fractions click :
https://brainly.com/question/29766013
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Select all the numbers that show 1/2% as an equivalent fraction, decimal, or percent.
What is the constant of proportionality between the number of pages read and the number of hours spent reading?
Answer:
45
Step-by-step explanation:
The constant of proportionality is 45
An opera singer teaches singing classes to teens. She teaches 96 teens in all. One-third of her
students are boys. How many boys are in the singing?
Answer:
32
Step-by-step explanation:
1/3x96= 31.999
Step-by-step explanation:
There are 96 students in total.
1/3 of total students = 96 * (1/3) = 32.
Since 1/3 of total students are boys,
there are 32 boys in the singing.
2500 square yards to square meters
Answer:
2090.318 square metres
Use the distributive property to solve: 5(x – 2)
Answer:
5x-10
Step-by-step explanation:
Answer:
5x-10
Step-by-step explanation:
5(x-2)
5(x)=5x
5(-2)=-10
5x-10
7 girls are dancing in Circular form. In how
many ways can they stand in circle?
Answer:
I'm sorry if i'm wrong but i think Its 6.
Step-by-step explanation:
Answer:
42 I believe
Step-by-step explanation:
They way I think about it is if you think about one girl there are 6 other girls around her and so on. So 6 times 7 is 42
But it could be a trick question and it only be 7, because a circle doesn't have a definite start place like a line
h(x)=-x^2+10x-16 What is the height of the ball at the time it is thrown
Answer:
0m
Step-by-step explanation:
Before the ball is thrown, it is at the ground level. At the ground level, the height is zero. Substitute h = 0 into the equation;
h(x)=-x^2+10x-16
0=-x^2+10x-16
x^2-10x+16 = 0
Factorize
x^2-8x-2x+16 = 0
x(x-8) - 2 (x-8) = 0
x-2 = 0 and x - 8 = 0
x = 2 and 8
At x = 2
h(2) = -2^2 + 10(2) - 16
h(2) = -4 + 4
h(2) = 0
Hence the height of the ball at the time it is thrown is 0m
HERRRRRRRRRRRRRRRREEEEEEEEEEeee pt3
3 1/4 times 7/8 simplified!!!
Answer:
2 27/32
Step-by-step explanation:
There are 2 equal groups of 8 books on a shelf. One group is all Reading books. The other group has 3 Math books and the rest are Science books. How many Science books are there?
Answer:
its 5
Step-by-step explanation:
because 8 are reading okay so the other 8 are math and sciences ,uf you have 3 math books how many sciences? then its 8-3=5
Brainlest and points need help with this question !
Answer:x=10.25 +y
Step-by-step explanation:
Answer:
i think its 3
Step-by-step explanation:
What is the Parallel and Perpendicular slope of m= -2? (PLZ SHOW HOW YOU GOT THE ANSWER)
Answer:
parallel=-2, perpendicular=1/2
Step-by-step explanation:
Parallel slopes mean the slopes are the same, and perpendicular slopes are the reciprocals of each other.
Answer:
Parallel slope of -2 is -2.Perpendicular slope of -2 is 1/2.Step-by-step explanation:
A line in a graph parallel/collinear to another line has same slope.
A line perpendicular to the another line has negative and reciprocal slope of the given line.
what is X decreased by 61%
I NEED HELP NOW!!!!what is 5+5?!?!?!!
Answer: its 20 bro i got you
Step-by-step explanation:
And article says that 15% of a non-profits Donations about 30,000 a year comes from individual donors what is the total amount of down donations to nonprofit receives
Answer:
200,000
Step-by-step explanation:
Step one:
given data
We are given that 15% of a non-profits Donations is about 30,000
Required
The amount in total received in donation
Step two:
Let the total donation be x
so
15/100*x= 30000
solve for x
0.15*x= 30000
divide both sides by 0.15
x= 30000/0.15
x=200,000
Hence the total donation is about 200000
What is the answer to this?
Answer:
Since 5 tenths is 5 over ten, 5 tenths as a Fraction is 5/10. If you divide 5 by ten you get 5 tenths as a decimal which is 0.50.
Step-by-step explanation:
if im right Brainliest?
Translate the following word pharse into algebraic expression: Nine times the difference of 5 and Y
Answer:5-y x 9
Step-by-step explanation: 5-y times 9
Answer:
9 × 5-y maybe bc times means multiply and difference means subtract but sorry if u get it wrong
convert 8.132132132... to a rational expression in the form of a fraction
Let x = 8.132132132... .
Then 1000x = 8132.132132132... .
Subtracting x from 1000x eliminates the fractional part, leaving you
999x = 8132 - 8 = 8124
Then
x = 8124/999 = 2708/333
juliet school collected 480 can food last month witch represented 80 percent of rheir goal. What is the toatal of her goal? PLEASE HELP ME I NEED TO HAVE THIS FINISHED ITS THE LAST DAY IN THE SEMESTER FOR OVERALL GRADES!?!?!?
Answer: 600 canned foods was the total.
Step-by-step explanation: We need to find out what‘s 100% of 480. Since 480 canned foods is 80%, we can divide 480 by 8 which gives us 60. Aka 60 canned foods = 10%. Now, we multiply 60 by 10 which gives us 600. Hope this helps!
Question 2 of 10
How many solutions are there to the equation below?
11x + 25 = 7x + 15
A glass is
1
-
3
full. Then 63cm3 of orange juice is poured in.
The glass is now
5
-
8
full.
What is the total volume of the glass?
Step-by-step explanation:
x=volume of the glass
(1/3)x+63=(5/8)x
63=(5/8)x-(1/3)x
63=(15/24)x-(8/24)x
63=(7/24)x
multiply both sides by 24/7
(24/7)(63)=(24/7)(7/24)x
216=x
216 cm3 is the volume (answer)
1/3 of 216 is 72
72+63=135
135/216=0.625=5/8