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Write an equation for the n term of the arithmetic sequence -1, 4, 9, 14, . Then find a50
Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = - 1
To find the common difference subtract the previous term from the next term
We have
d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5
Therefore d = 5
Substitute the values into the general formula
That's
[tex]A(n) = - 1 + (n - 1)(5) \\ = - 1 + 5n - 5 \\ = 5n - 6 \: \: \: \: \: \: \: \: \: \: \: [/tex]
To find A(50) substitute the value of n that's 50 into the formula above
[tex]A(50) = 5(50) - 6 \\ \: \: \: \: \: \: \: \: \: = 250 - 6 \\ \: = 244[/tex]
Hope this helps you
Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)dwhere a is the first term
n is the number of terms
d is the common difference
From the question
a = - 1To find the common difference subtract the previous term from the next term
d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5Therefore d = 5
Substitute the values into the general formula
That's
[tex]A(n)=−1+(n−1)(5) \\ \: \: \: \: \: \: \: \: =−1+5n−5 \\ =5n−6[/tex]
To find A(50) substitute the value of n that's 50 into the formula above
[tex]A(50)=5(50)−6 \\ \: \: \: \: \: \: \: \: =250−6 \\ \: \: =244[/tex]
Solve the equation: (5y + 2)(y - 3) = -13(2 + y)
Answer:
2i
Step-by-step explanation:
Distribute:
(5y + 2)(y - 3)
5y^2-15y+2y-6
Which can be simplified into 5y^2-13y-6
Now the equation now looks like this: 5y^2-13y-6=-13(2+y)
For -13(2+y) multiply -13 with 2+y
Which is -26-13y
5y^2-13y-6=-26-13y
Simplify:
5y^2+20
Which can be simplified into 5(y^2+4)
y^2+4=0
y^2=-4
y=2i
Hope this helps!
Translate the sentence into an Inequality.
The sum of 6 and x is less than or equal to - 20.
The sum of 6 and x is less than or equal to - 20.
Answer: (6+x) ≤ -20
Forty-five more than a number
Answer:
n+45
Step-by-step explanation:
Just name "a number" as n or any other variable
Answer:
45 + x
Step-by-step explanation:
HELPPP.!! I don’t understand
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS PLS THANKS
Answer: 4
Step-by-step explanation: I divided 200 by 42 and got 4.761904762. Then I multiplied 42 by 4 and got 168. 200-168 is 32. You would only have 32 dollars left and that is not enough to have the car for another day.
what is the perimeter of a pool that is 30 meters long and 18 meters wide?
Answer:
Step-by-step explanation:
Perimeter=2(length+widht)
Given values:
length=30 m
width=18 m
Substitute values in formula:
Perimeter=2(20+18) m
Perimeter=2(38) m
Perimeter= 76 m
If you need to ask any questions, please let me know.
George bought 2.45 pounds of tofu and 1.62 pounds of fish. How many more pounds of tofu did he buy than fish.
Answer:
0.83 pounds
Step-by-step explanation:
2.45 take away 1.62
A group of 40 people goes to a football game. Each ticket to the game costs $55. Each person pays $8 for transportation to and from the game. What is the total cost for the 40 people to go to the game?
plz help!:> also your so awesome, and I hope you have an amazing day!
Tisha is drawing stars in her notebook. She draws 999 stars on the first page, 999 stars on the second page, 999 stars on the third page, and 999 stars on the fourth page. What kind of sequence is this?
Answer:
The sequence is that, for every page 999 stars are drawn.
Step-by-step explanation:
999
999
999
999
3996
--
The evolution of 999 began when artist Juice WRLD decided to turn the evil number 6 into good... making and upside down 6 become a 9. Think of it as, "turn that frown upside down", or "turn evil into good".
The conjugate of (2+i)²/3+i, in the form of a+ib, is
13/2 + i(25/2)
13/10 + i(-15/2)
13/10 +(-9/10)
13/10+(9/10)
Given that
(2+i)²/(3+i)
On multiplying both numerator and the denominator with (3-i) then
⇛ [(2+i)²/(3+i)]×[(3-i)/(3-i)]
⇛ [(2+i)²(3-i)]/[(3+i)(3-i)]
⇛ [(2+i)²(3-i)]/[(3²-i²)
⇛ [(2+i)²(3-i)]/(9-i²)
⇛ [(2+i)²(3-i)]/[9-(-1)]
Since ,i² = -1
⇛ [(2+i)²(3-i)]/(9+1)
⇛ [(2+i)²(3-i)]/10
⇛ [{2²+i²+2(2)(i)}(3-i)]/10
⇛ (4+i²+4i)(3-i)/10
⇛ (4-1+4i)(3-i)/10
⇛ (3+4i)(3-i)/10
⇛ (9-3i+12i-4i²)/10
⇛ (9+9i-4(-1))/10
Since, i² = -1
⇛(9+9i+4)/10
⇛(13+9i)/10
⇛ (13/10)+ i (9/10)
We know that
The conjugate of a+ib is a-ib
So,
The conjugate of (13/10)+ i (9/10) is
(13/10)-i(9/10) ⇛ (13/10)+i (-9/10)
Answer:-The conjugate of (13/10)+ i (9/10) is (13/10)+i (-9/10)
Additional comment:
The conjugate of a+ib is a-ib and i = -1(a+b)² = a²+2ab+b² • (a+b)(a-b)=a²-b² •(a-b)²=a²-2ab+b².y=-2x + 7
y = 5х – 7
Find the solution
Answer:
x = 2
Step-by-step explanation:
Given:
y = -2x + 7 y = 5х – 7If y = -2x + 7 and y = 5х – 7, then -2x + 7 = 5х – 7. Now, let's solve.
=> -2x + 7 = 5х – 7
=> 7x = 14
=> x = 2
Since we found 'x', let's find 'y' with the given clue using one equation among any of the two equations.
=> y = 5х – 7
=> y = 5(2) - 7
=> y = 10 - 7
=> y = 3
Hoped this helped.
Angela has 3 gallons of milk.how many quarts of milk dose she have
Answer:
12
Step-by-step explanation:
4 quest make 1 gallon so 4*3=12
3/7 rounded to 3 decimal places
Answer:
0.429 is the correct answer.
A room is made up of 3 doctors and 7 nurses. If one is selected at random, what is the probability that they choose a nurse?
Answer:
7/10
Step-by-step explanation:
There are 10 people in total and 7/10 of them are nurses
or 0.7 out of 1 probability
"Lin is shopping for a couch with her dad and hears him ask the salesperson, “How much is your commission?” The salesperson says that her commission is 5.5 % of the selling price.
How much commission will the salesperson earn by selling a couch for $495?"
Answer:
Commission = $24.75
Step-by-step explanation:
Commission = Sale Price × Commission %
Commission = $450 × .055 5.5% = as a decimal (.055)
Commission = $24.75
Find the intercept the slope of this line.
Answer:
the last option
Step-by-step explanation:
What is an equation of the line perpendicular to y =-3x - 5
that contains (-3,7)
Answer:
y=1/3x-5
Step-by-step explanation:
when it is perpendicular you just flip the -3x and he its reciprocal
man to be honest there is a girl i really like should i tell her how i feel
Answer:
I think if you haven't hung out with her a lot, you should start hanging out with her, getting along, until you have built up courage to tell her you have feelings for her.
Three numbers are in the ratio 3.5 7. If the largest number is multiplied by 3, the result is 26 more than the sum of the first and second numbers. Use an algebraic
solution to find the numbers
Answer:
6,10,14
Step-by-step explanation:
Find the measure of the indicated angle.
Answer:
11) x = 21
12) x = 110
13) x = 85
14) x = 137
Step-by-step explanation:
Hope it helped <3
I rlly need help it’s due tmrw
Answer:
3.Top: |-80| + |50| = 80 + 50 = 130m
Bottom: same as top
Left: |50| + |-20| = 50 + 20 = 70m
Right: same as left
4.
130m+130m+70m+70m=400m
The perimeter is 400 meters
4. Find a polynomial function of degree 3 with the given zeros. Write your answer in the form:
Ax) = ax + bx² + cx+d
x= -2, x=-1, x=2
Answer:
I'm assuming the equation "Ax) = ax + bx² + cx+d" is really meant to read:
A(x) = ax^3 + bx² + cx+d
A(x) = x^3 + x^2 -4x -4
Step-by-step explanation:
(x+2)*(x+1)*(x-2) [This reflect the fact that x= -2, x=-1, x=2 all result in a zero]
Multiply this out to get A(x) = x^3 + x^2 -4x -4
PLEASE HELP ME WILL GIVE BRAINLIEST!!!!!
How do you graph the solution set to a system of linear inequalities in two variables (pretend you are the teacher and you are teaching me how to graph it)?
Answer:
Graph both of the line inequalities on the same coordinate graph, and then the overlap will be your answer.
Step-by-step explanation:
An example is attached! The purple-ish on the right would be your solution set.
With an 18% discount, Joah was able to save $13.23 when buying a coat.
What was THE original price?
Answer:
The original price of the coat is $ 73.5Step-by-step explanation:Let x be the original price( in dollars ) of the coat.
Step-by-step explanation:
Katrina is solving the equation -2(x+3)= 4(2x+3)-(x+4). Which equivalent equations might Katrina use? Check all that apply. Ox-2x-6=8x+12-x-4 O x-2x+6= 8x+ 12- X+4 Ox-2x-6-8x+12-X+4 O x-2x+3 = 8x+3 - X+4 0-x-6-7x+8 O-x+6=7x+16 0-x-6-7x+16 O-X+3 = 7x+7
Step-by-step explanation:
-2x-6=8x+ 12-x-4
x-2x-6=8x+12-4
-2x - 6 = 7x + 8 or -9x - 6 = 8 are the equivalent equation.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
To solve the equation -2(x+3)= 4(2x+3)-(x+4), Katrina can use equivalent equations obtained by simplifying each side of the equation using the distributive property, combining like terms, and solving for x.
One possible equivalent equation is:
[tex]-2(x+3)= 4(2x+3)-(x+4)\\-2x - 6 = 8x + 12 - x - 4 \\-2x - 6 = 7x + 8[/tex]
Another possible equivalent equation is:
[tex]-2(x+3)= 4(2x+3)-(x+4)\\-2x - 6 = 8x + 12 - x - 4\\ -2x - 6 = 7x + 8\\-9x - 6 = 8\\-9x = 14 \\x = -14/9\\[/tex]
Therefore, the equivalent equations that Katrina can use to solve the original equation are:
-2x - 6 = 7x + 8 or -9x - 6 = 8
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ7
Which measure of center is most appropriate, and what
is the value of the measure of center?
You are a sports agent's assistant. You are preparing a
report on contracts you have obtained for the agent's
clients. You recently negotiated the following annual
contracts: $2.8 million, $18.9 million, $1.5 million, $1.2
million, $1.5 million, and $3.5 million per year. The
standard deviation of the data is 6.3, and the range is
17.7.
O median; $1.35 million
O mode; $1.5 million
O median; $2.15 million
O mean; $4.9 million
O mean; $5.58 million
Mark this and return
Save and Exit
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Submit
Answer:
Median;$1.35 million
Step-by-step explanation:
You are a sports agent’s assistant. You are preparing a report on contracts you have obtained for the agent’s clients. You recently negotiated the following annual contracts: $2.8 million, $18.9 million, $1.5 million, $1.2 million, $1.5 million, and $3.5 million per year. The standard deviation of the data is 6.3, and the range is 17.7.
Which measure of center is most appropriate, and what is the value of the measure of center?
median; $1.35 million
mode; $1.5 million
median; $2.15 million
mean; $4.9 million
mean; $5.58 million
Answer: 1.35 is wrong.
Step-by-step explanation:
If you type 30 words per minute, what is the words per minute ratio?
Answer:
30:1
Step-by-step explanation:
If you type 30 words every minute, it would be 30 words to 1 minute, which is 30 words : 1 minute, 30:1.
Pls help i only have 20 mins to complete
Plz post your question now....