Given sequence:
-2,-7,-12 ,..
Unknown;
Find the sum of the first 20 terms = ?
Solution:
The sequence is -2,-7,-12 ,..
To find he sum of n-terms of a sequence, we use the expression below;
Sₙ = [tex]\frac{n}{2} (2a + (n-1)d)[/tex]
where n is the number of terms = 20
a is the first term = -2
d is the common difference= -7 - (-)2 = -5
Now input the parameters and solve;
Sₙ = [tex]\frac{20}{2} (2(-2) + (20 - 1) x -5)[/tex]
Sₙ = 10(-4 + -5(19)) = 10(-99) = -990
The sum of the first 20 terms of the sequence is -990
(*−3m^4)^2 = 9m^8−48m^4w+64w^2
Answer: what-
Step-by-step explanation:
10 5/6x-1+9 1/6x-9
i need this to be simplified thx
Answer:
20x-10(or if solving for x x = -1/2
Step-by-step explanation:
Combine Like Terms
10 5/6x+9 1/6x-1-9 = 19 6/6x -10 = 20x-10
You get a new job that pays a base salary of $45,000 per year and you earn a commission of $250 per unit sold. How many units would you need to sell to make $90,000 in a year.
Answer:
180
Step-by-step explanation:
subtract 45,000 (the money you already get) from 90,000 and you get 45,000. next divide 45,000 by 250 and get 180 (the amount of units you need to sell in order to make 90k total)
Your bank account has a balance of −$12. You deposit $60. What is your new balance?
Your new balance is $
.
Answer:
Your balance will be 48
Step-by-step explanation:
If you have -12 add 60 that will equal 48
Help me !!!!!!!!!!!!!!!!!
Answer:
2 3/4 and 11/4
Step-by-step explanation:
2x+7=x+3 solve for x
Answer:
x = -4
Step-by-step explanation:
Rearrange equation so that like terms are on one side and the numbers are on the other.
2x - x = 3 - 7
x = -4
Answer:
x=-10
Step-by-step explanation:
2x-x+7=x-x-3
x+7-7=-3=7
x=-10
Four time the sum of twice a number and six is thirty-two. Find the number
Answer:
4(2x+6)=32 x= 1
Step-by-step explanation:
multiply 4 to 2x and 6= (8x+24)=32
then subtract 24 from 32 = 8
then divide 8 from both sides
8x/8=8/8
x=1
An equation is formed of two equal expressions. The unknown number is 1.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the unknown number be represented by x.
The given statement can be written in the form of an equation as shown below.
Twice of a number → 2xSum of twice a number and six → 2x + 6Four-time the sum of twice a number and six → 4(2x + 6)Four-time the sum of twice a number and six is thirty-two→ 4(2x + 6) = 32
The given equation can be solved as shown below.
4(2x + 6) = 32
Open the parenthesis by multiplying 4 inside the parenthesis,
8x + 24 = 32
Subtract 24 on both sides of the equation,
8x + 24 - 24 = 32 - 24
8x = 8
Divide both sides of the equation by 8,
8x/ 8 = 8/8
x = 1
Hence, the unknown number is 1.
Learn more about Equation here:
https://brainly.com/question/14686792
#SPJ2
9) A canoe rental company charges a $20 transportation fee and $30 an hour to rent a canoe. Which of the following inequalities would you use to find out how many hours James could rent a canoe if he could only spend at most $200? a. 20x + 30 < 200 b. 20x + 30 > 200 30x + 20 < 200 d. 30x + 20 > 200 C.
Plz hurry
Answer:
30x + 20 < 200
Step-by-step explanation:
Given parameters:
Transportation fee = $20
Charge per hour = $30/hr
Unknown:
Inequality representing then number of hours if he has $200 = ?
Solution:
Let the number of hours = x
At most is interpreted in inequality term as <, less than a certain amount;
For x hours,
30x + 20 < 200;
gives the number of hours James have access to the canoe if he has at most $200
What is the missing term in the factorization?
12x^2 - 75 = 3( 2x+__ )( 2x - 5 )
Enter your answer in the box.
the missing term is 5
Step-by-step explanation:Hi there !
12x² - 75 =
= 3(4x² - 25)
use formula a² - b² = (a - b)(a + b)
= 3(2x - 5)(2x + 5)
= 3(2x + 5)(2x - 5)
the missing term is 5
Good luck !
What’s the answer????
Answer:
1. 0.6
2. 0.25
Step-by-step explanation:
because math
Plss help if can!! Thanks!
Store ABC began business 5 years ago. The graph below shows the store’s profit for those 5 years.
Question
Make a table showing the relationship between the year in business and profit.
Answer:
Check the pictures above.
Sylvia buys a case of water that contains 24 bottles and sells x number of bottles to her co-workers. Sam buys a case of water than contains 36 bottles and sells three times as many bottles as Sylvia sold to his co-workers. How many bottles of water did Sylvia sell if they ended up with the same number of bottles of water left over?
Record your answer in the grid below.
Be sure to use the correct place value.
8 points total Show work in order to receive full credit.
7 points correct answer
1 point correct bubbling on grid
Answer:
6
Step-by-step explanation:
Number of water bottles bought by Sylvia = 24
Number of water bottles sold by Sylvia = [tex]x[/tex]
Number of water bottles left with Sylvia = [tex]24-x[/tex]
Number of water bottles bought by Sam = 36
Number of water bottles sold by Sam = Three times as many as bottles as Sylvia sold = [tex]3x[/tex]
Number of water bottles left with Sam = [tex]36-3x[/tex]
It is given that the number of water bottles left with Sylvia and Sam are equal.
i.e.
[tex]24-x=36-3x\\\Rightarrow 2x=12\\\Rightarrow x =\bold{6}[/tex]
So, number of water bottles sold by Sylvia = 6
If the pattern indicated below continued, what would be the total number of cubes in the 8th stage of the pattern?
1, 1+4=5, 1+4+9=14
Answer:
The number of cubes in the 8th stage of the pattern is 204
Step-by-step explanation:
Here, we want to calculate simply the 8th term of the pattern
T1 = 1
T2 = 1 + 4 = 1 + 2^2 = 5
T3 = T2 + 3^3 = 5 + 9 = 14
T4 = T3 + 4^2 = 14 + 16 = 30
T5 = T4 + 5^2 = 30 + 25 = 55
T6 = T5 + 6^2 = 55 + 36 = 91
T7 = T6 + 7^2 = 91 + 49 = 140
T8 = T7 + 8^2 = 140 + 64 = 204
Please help me.
In a group of 45 students at a school, all students must study at least one science. Physics is compulsory, but students may also opt to study chemistry or biology or both. 9 students take all three sciences. 24 take both physics and biology (with or without chemistry). 12 students take only physics. How many are studying chemistry and physics but not biology?
Answer:
9 students
Step-by-step explanation:
Let x be the number of students taking only Physics and Chemistry
Number of students :
All 3 sciences = 9
Only physics = 12
Both Physics and Biology( without Chem ) = 24 -9 = 15
15+ 9 + 12+x = 45 , since Physics is compulsory
36 + x = 45
x = 45 - 36
x = 9
Hope it helps :)
Answer:
9
Step-by-step explanation:
The spinner below has three regions: $5, $0, and $10. To play the game, you spin one time and then you win the amount in the region that the spinner lands on. a.) What is the expected value for the game? b) If you have to pay $10 to play, is it a fair game? *
a) $5.00 b) no
a) $4.79 b) yes
a) - $ 8.75 b) no
a) $ 3.00 b) yes
Answer:
$5.00 ; no
Step-by-step explanation:
Given that:
135 / 360 = 0.375
90 / 360 = 0.25
135/ 360 = 0.375
X ___ 5 _____10 _____ 0
P(x): _0.25___0.375___0.375
Expected value :
ΣX*p(X) :
5(0.25) + 10(0.375) + 0(0.375)
1.25 + 3.75 + 0
= $5
b) If you have to pay $10 to play, is it a fair game?
For the game to be fair :
Amount paid = Expected winning
$10 ≠ $5
Since, amount paid is greater than expected winning, then the game is not fair
Help! Determine if the following number is rational or irrational: -0.1
Answer: Rational
Step-by-step explanation:
Find the percent increase. Round to the nearest percent.
From 84 books to 162 books
Answer:
93%
Step-by-step explanation:
Answer:
1.45 x 5 is the answer but i want you to do some work for it and if its wrong im sorry but thats what i calculated it as
Step-by-step explanation:
can someone help me with the following question in the picture please
Answer:
its a straight origin
Step-by-step explanation:
I'm smart
The equation of the line parallel to y−6=
1
8(x+6) that passes through Q(5,−5) is
Answer:
y+5=0
Step-by-step explanation:
go to desmos graphing calculator and
put the y-6=1
and the points (5,-5)
and y+5=0 and you see that this equation is parallel and goes through (5,-5)
write the recurring fraction 0.4 as a fraction in it's simplest form
PLEASE HELP WILL GIVE BRAINLIEST!!!
Answer:
36
Step-by-step explanation:
We have the summation:
[tex]\displaystyle{\sum_{i=1}^{9} 2i-6[/tex]
Essentially, we want to find the sum of (2i-6) from i=1 to i=9.
First, using summation properties, we can split this to:
[tex]=\displaystyle{\sum_{i=1}^{9} 2i+\displaystyle{\sum_{i=1}^{9} -6[/tex]
On the right, it will simply be -6 evaluated 9 times. We can also move the constant out from the left:
[tex]=\displaystyle{2\sum_{i=1}^{9} i+9(-6)[/tex]
For the summation on the left, this will simply be the sum (1+2+3+...+9). This yields 45. Therefore:
[tex]=2(45)+9(-6)[/tex]
Evaluate:
[tex]=90-54=36[/tex]
So, our final answer is 36.
Patricia made a 50% on her science tests. If she got 14 problems correct, how many questions
were on the tests?
Answer:
28
Step-by-step explanation:
14*2=28
Answer:
28 total questions on the science test
Step-by-step explanation:
14 times 2 to get 28 bc if she got 50%, she got half of the questions right
Felicia drank 5 glasses of soda throughout the day. Which choice
below is the most likely number of ounces of soda that Felicia
consumed?
40 ounces
125 ounces
200 ounces
10 ounces
Answer:
40 ounces
Step-by-step explanation:
A glass is 8 ounces so:
8 x 5 = 40 ounces
5/3x+6=2/9x
Please answer x as a fraction
Answer:
x = -4 2/13
x = -4.15384615385
x = -54/13
(they are all the same, just in different formats)
Step-by-step explanation:
(5/3x) + 6 = (2/9)x
first, make all "x"s have a common denominator
(5/3) = (15/9)
so
(5/3)x = (15/9)x
(15/9)x + 6 = (2/9)x
solve using inverse operations
(15/9)x + 6 = (2/9)x
-(2/9)x -(2/9)x
(13/9)x + 6 = 0
-6 -6
(13/9)x = -6
to get rid of the fraction, multiply the entire equation by the denominator
(13/9)x = -6
*9 *9
13x = -54
/13 /13
x = -4 2/13
x = -4.15384615385
x = -54/13
(they are all the same, just in different formats)
How does place value help us divide?
Answer:
Place value allows us to take complicated addition subtraction, multiplication, and division problems and reduce them to simpler problems. We do this by breaking down problems according to their place value or tens hundreds, and thousands.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Place value allows us to take complicated addition, subtraction, multiplication, and division problems and reduce them to simpler problems. We do this by breaking down problems according to their place value, or tens, hundreds, and thousands.
Hope this helps!!!
For each set of sequences, find the first five terms. Then compare the growth of the arithmetic sequence and the geometric sequence. Which grows faster? When? Anthmetic sequence: f(1) = 2; common difference: d = 3 Geometric sequence: g(1) = 2; common ratio: r = 3 Arithmetic Geometric 9(2) which value do you think will be more, f(100) or (100)? Why? (100)
Answer:
yx(yx)-x11
Step-by-step explanation:
its the x-axis can contribute with the center so it makes since so its yx(yx)-x11
A food bank sends a truck with 400 pounds of food to each of five local food pantries every week, and receives a government surplus shipment of 3,200 pounds every other week. If it has 10,000 pounds of food on hand at the begining of July , how much will it have six weeks later?
Answer:
6,400
Step-by-step explanation:
The calculation is shown below:-
But before that find the total number of pound in five local bonds
= 400 × 5
= 2,000
Now the amount at six week later is
= Food pounds + 3 × number of pounds + 3 × suplus shipment
= 10,000 + 3 × 2,000 - 3 × 3,200
= 10,000 + 6,000 - 9,600
= 6,400
Therefore according to the given situation the correct answer is 6,400
can someone help me to find a website that gives many exercises in math and science?
Answer:
Khan Academy
Answer:
khan academy is a great place to go
Step-by-step explanation:
hope this helped!
p.s it would be cool if you gave me brainliest.
HELP :(((
a. 168
b. 62
c. 625
d.25
Answer:
A.
Step-by-step explanation:
24 x 7 = 168
Answer:
The answer is 25 units for the DF measurement
Step-by-step explanation: