Answer:
4th term
Step-by-step explanation:
Equate the nth term formula to 54 and solve for n
3n² - n + 10 = 54 ( subtract 54 from both sides )
3n² - n - 44 = 0
Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term.
product = 3 × - 44 = - 132 and sum = - 1
The factors are - 12 and + 11
Use these factors to split the n- term
3n² - 12n + 11n - 44 = 0 ( factor the first/second and third/fourth terms )
3n(n - 4) + 11(n - 4) = 0 ← factor out (n - 4) from each term
(n - 4)(3n + 11) = 0
Equate each factor to zero and solve for n
n - 4 = 0 ⇒ n = 4
3n + 11 = 0 ⇒ 3n = - 11 ⇒ n = - [tex]\frac{11}{3}[/tex]
Since n > 0 then n = 4
The 4th term of the sequence is 54.
What is a sequence ?A sequence is a set of numbers with a constant difference or a constant ratio or it have a certain relation with the next and previous term.
According to the given question the nth term of a sequence is 3n² - n + 10.
We have to determine which term is equal to 54 or the value of and it must be an integer.
So, 3n² - n + 10 = 54.
3n² - n - 44 = 0.
3n² - 12n + 11n - 44 = 0.
3n(n-4) +11(n-4) = 0.
(3n+11) = 0 OR (n-4) = 0.
n = - 11/3 OR n = 4. ( given the term no. is a positive integer ).
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Solve for
x
x
−
6
9
=
−
5
- BRAINLIEST answerer
Answer:
64
Step-by-step explanation:
SOMEONE PLEASE HELP I will give you brainliest it’s due in 11:59 pm TODAY!! Please
Rewrite x2 - 8x + 13 = 0 in the form (x -a)2= b, where a and b are integers, to determine the a and b values.
O a = 4 and b = 3
O a = 3 and b = 2
O a= 2 and b = 1
O a = 1 and b = 4
Answer:
a =4 and b= 3
Step-by-step explanation:
Stare at it for a bit. You have the squre of x, then(ignoring the minus sign) 2 times x times 4. What's left is the square of 4, which is 16; you have 13, you are 3 short. Let's add them to both sides:
[tex]x^2-8x+13+3=3 \rightarrow x^2-8x+16 = 3\\(x-4)^2 = 3[/tex]
so a =4 and b= 3
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
Answer:
1/4
Step-by-step explanation:
use 2 points from the graph (-4,5) and (0,6) and put them in the distance equation.
(y2-y1)
----------
(x2-x1)
6-5
-------
0-(-4)
1/4
find the value of x and y
from geometry
urgently
Work out the shaded area of this shape.
Answer:
73
Step-by-step explanation:
What is the value of y when the value of x is 1?
if the value of x is 1 then the y value is 6
if f(x)= -13, find x
evaluate the function h(x) = |-2x|-9 for the given values of x a) h(4)=. b) h(-5)=. c) h(0) =
Answer:
h(4) = -1 ; h(-5) = 1 h(0) = -9
Step-by-step explanation:
a) h(x) = |-2x| - 9 Substitute x = 4
h(4) = | -2 · 4| - 9
h(x) = | -8| - 9
h(4) = 8 - 9
h(4) = -1
b) h(x) = |-2x| - 9 Substitute x = -5
h(-5) = |-2 · -5| - 9
h(-5) = |-10| - 9
h(-5) = 10 - 9
h(-5) = 1
c) h(x) = |-2x| - 9 Substitute x = 0
h(0) = |-2 · 0| - 9
h(0) = |0| - 9
h(0) = 0 - 9
h(0) = -9
solve the equation please
142=10+4x+7x
x= what
Answer:
11
Step-by-step explanation:
142=10+12x
132=12x
11=x
Answer:
x=12
Step-by-step explanation:
Teddy
1House A is twice as tall as House B. How tall is House B?
House
Height (ft)
A
24
B
Answer:
12
Step-by-step explanation:
House A is 24. So divide it by two to get 12. Which is house B
Hi again could you help me please
Find the area of the composite shape.
Answer:
For the one on the far left its 104 m2
Step-by-step explanation:
u split the shape in a square and rectangle
them u fin the area of the square by multiplying both sides. (8*8)
then u find the area of the rectangle by using the formula
2*(16+4)
when u find both areas u count them up and it'll become 104 m squared
my bibi’sister need a answer she don't know the answer, she need your help
13. 12008.
14. 59286.
15. 21459.
16. 80478.
17. 130567.
18. 11100.
19. Seventy-two thousand, one hundred eighty.
20. Eighty thousand, seven hundred eighty-six.
Hope This Helps...:)
Simplify. 54+4(3/4−1/2)2
Answer:
56
Step-by-step explanation:
54 + 4(3/4 − 1/2)2
=> 54 + 4(1/4)2
=> 54 + (1)2
=> 54 + 2
=> 56
Therefore, 56 is our answer.
Hoped this helped.
read sddddddddd
dxfcgvhbjnkml,
Answer:
1/5
Step-by-step explanation:
rise = 2 ft
run = 10 ft
slope = rise/run = 2/10 = 1/5
Answer: 1/5
Answer:
1/5
Step-by-step explanation:
The slope is the rise over the run
Y / x
2/10
1/5
g(t) = (t-10) (t+1)
1) What are the zeros of the function?
Step-by-step explanation:
Write properties of function:
x intercept/zero: ; T1= -1 and T2=10
vertex form: g(t)= (t-9/2)^2, (-121/4)
vertex: 9/2, 121/4
Explanation Write properties of function: Write properties of function:
x intercept/zero: ; t1=-1, and t2=10
vertex form: (t-9/2)^2, (-121/4)
vertex: 9/2, 121/4
hope this helped
find the area of the parallelogram with the given information:
Answer:
There is a area of triangle and there is two trapezium so 8×17=136
In the diagram below segment AC is congruent to segment CE and segment BC is congruent to segment DC.
Why is triangle BCA congruent to triangle DCE?
See picture for full problem. Please and thank you!
Step-by-step explanation:
By reflection
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
what are the four functions that are increasing on the interval
Answer:
Tbh i don’t really know
Step-by-step explanation:
Ask someone else
Read the excerpt from the poem "Hide and Seek":
(21) I examine my hideout, the contours of the leaves,
(22) The blades of grass, a crawling caterpillar.
(23) The minutiae fascinate me, a world within my world.
(24) One touch from me, and the caterpillar lies curled.
(25) Isn't this a metaphor for life?
(26) I'm in a game within another game.
(27) We're all fascinated by ourselves, and our own life.
(28) How often do we acknowledge others' trouble and strife?
How does the point of view influence the description in lines 22-28?
A deeper connection is made and uses the setting to relate to life by the speaker.
A quick description of the hiding place is given at the end of the game by the speaker.
The other children's hiding spots are described by someone, not in the poem.
The setting is being described by someone who was not playing the game.
Answer:
A
Step-by-step explanation:
A drilling crew dug to a height of -45 1/4 feet during their first day of drilling. On the second day, the crew dug down 9 1/3 feet more than on the first day. Describe the height of the bottom of the hole after the second day.
The height of the bottom of the hole after the second day is -35 11/12 feet
Given:
Day 1 height = -45 1/4 feet
Day 2 height = -45 1/4 + 9 1/3
= - 181/4 + 28/3
= (-543 + 112) / 12
= -431/12
= -35 11/12 feet
Therefore, the height of the bottom of the hole after the second day is -35 11/12 feet
Read more:
https://brainly.com/question/11871698
What is the m 2x-3=5x-12
Answer:
15 is the answer
Step-by-step explanation:
If it was designed as an alternate angle, then it would 63 degrees
A recipe requires 2/5 cup of sugar for 1 batch of brownies enter the number of batches of brownies that can be made using 3 1/5 cups of sugar
Answer:
8 batches
Step-by-step explanation:
You would have to divide 3 1/5 by 2/5, which gets you 8 batches of brownies.
PLS WHAT IS THE REAL ANSWWR ASAP
the answer is t<-48
i hope this helped you if you need the explanation lmk
Given isosceles AHIJ where HIIT, MZH = (3x + 10)", and mZ1 = (6x – 20)", find the measures of angles H, I and J.
Answer:
110 degrees I think
Step-by-step explanation:
PLS HELP FAST FIRST ANSWER GETS BRAINLYEST 35 POINTSSSSS
Elena borrowed some
money from her brother. She
pays him back by giving him
the same amount every
week. The graph shows how
much she owes after each
week.
The slope is -3
1- how much time will it take for elena to pay back all the money she borrowed
Answer:
no graph how am i supposed to answer
Step-by-step explanation:
DUDE PUT THE GRAPH WHERE IS iT
Please help me
20 points
Answer:
1). Simplify the expression.
Exact Form:
( [tex]\frac{37}{25}[/tex] )
Decimal Form:
1.48
Mixed Number Form:
( [tex]1\frac{12}{25}[/tex] )
2). Simplify the expression.
91.46
3). Simplify the expression.
Exact Form:
[tex]\frac{17}{24}[/tex]
Decimal Form:
0.7083 ( bar notation)
4). Simplify the expression.
81.49
Calculate the volume of a cylinder with height 14cm and diameter 10cm. Give your answer rounded to 3 SF.
Un significant figured Volume=1099.56
3 sf = 1100.00
Given the triangle below and the equation: sin A = 3/5.
Determine the value of b.
Using the trigonometry ratio and Pythagorean Theorem, the value of b in the triangle is: 4.
Recall:
The trigonometry ratio is used in solving a right triangle, having, hypotenuse, adjacent, and the opposite side, given a reference angle.Trigonometry ratios are: SOH CAH TOAPythagorean Theorem is given as: [tex]c^2 = a^2 + b^2[/tex], where c is the longest side (hypotenuse).Given the trigonometry ratio of sin A = 3/5
Recall that, sin ∅ = opp/hyp (SOH)
Thus, this means that, in sin A = 3/5,
A = ∅3 = opposite side, which corresponds to a in the given triangle.5 = hypotenuse, which corresponds to c in the given triangle.b is therefore the adjacent sideThus, find the value of b by applying the Pythagorean theorem.
[tex]b = \sqrt{c^2 - a^2}[/tex] (Pythagorean Theorem)
Substitute[tex]b = \sqrt{5^2 - 3^2}\\\\\mathbf{b = 4}[/tex]
Therefore, using the trigonometry ratio and Pythagorean Theorem, the value of b in the triangle is: 4.
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Simplify (5p+1.49)-(2p+6.49)
Thank you!