Given:
[tex]b(1)=-12[/tex]
[tex]b(n)=b(n-1)\cdot 4[/tex]
To find:
The third term of the sequence.
Solution:
We have,
[tex]b(n)=b(n-1)\cdot 4[/tex]
For n=2, we get
[tex]b(2)=b(2-1)\cdot 4[/tex]
[tex]b(2)=b(1)\cdot 4[/tex]
[tex]b(2)=-12\cdot 4[/tex] [tex][\because b(1)=-12][/tex]
[tex]b(2)=-48[/tex]
For n=3, we get
[tex]b(3)=b(3-1)\cdot 4[/tex]
[tex]b(3)=b(2)\cdot 4[/tex]
[tex]b(3)=-48\cdot 4[/tex] [tex][\because b(2)=-48][/tex]
[tex]b(3)=-192[/tex]
Therefore, the 3rd term of the sequence is -192.
What is the end behavior f(x) ?
[tex]\text{ as } x \to \infty, \ f(x) \to \infty\\\\\text{ as } x \to -\infty, \ f(x) \to -\infty[/tex]
In other words, as x gets really large in the positive direction, so does f(x).
As x gets really large in the negative direction, so does f(x). We can see that x and f(x) move in the same direction toward the same type of infinity.
In laymen's terms or in plain English, we can say that "The graph falls to the left and rises to the right". We don't worry about the wiggle motion in the middle, since all we care about is what's going on as x goes to either infinity.
"Falls to the left" means it goes down forever as we move leftward. "Rises to the right" means it goes up forever as we move to the right. This type of behavior of "falls to the left and rises to the right" is indicative of any odd degree polynomial where the leading coefficient is positive. In this case, it appears we're dealing with a cubic function of degree 3.
Laura goes to a Mexican restaurant for lunch. She is planning to order either a chicken or beef dish. If there are 8 choices for chicken and 12 choices for beef, how many options does Laura have to choose from?
A. 4
B. 8
C. 12
D. 20
Answer:
20
Step-by-step explanation:
Please help!!! Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
WILL MARK BRAINLIEST IF GOTTEN RIGHT
Answer:
85
Step-by-step explanation:
Dont need to explain it quik mafs
Joe can run twice as fast as Pete. They start at the same point and run in opposite directions for 40 minutes. The distance between them is now 16km. How fast does joe run?
I don't know you nswer po
Find the mean, median, and mode(s) of the data:
34, 57, 58, 56, 21
Please hurry !!!!!!!
Which value for x makes the following equation TRUE? x 9 + 16 = 20
A. 4/9
B. 20/9
C. 13
D. 36
Answer:
A. 4/9
Step-by-step explanation:
Given
x 9 + 16 = 20
When x = 4/9 Then
4/9 * 9 + 16 = 20
4 + 16 = 20
20 = 20
Hope it will help :)
HELP
A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
the maximum amount of profit the company can make, to the nearest dollar.
y= -2x^2 + 105x – 859
Answer:
519
Step-by-step explanation:
or 519.125
The maximum amount of profit the company can make, to the nearest dollar should be considered as the $519.
Calculation of the maximum amount of profitSince the amount of profit made expressed as [tex]y=-2x^2+105x-859[/tex]
Now
At maximum profit, dy/dx = 0
So,
dy/dx = -4x + 105
0 = -4x + 105
4x = 105
x = 105/4
x = 26.25
Now
[tex]y=-2x^2+105x-859\\\\y=-2(26.25)^2+105(26.25)-859[/tex]
y = - 1,378.125+2,756.25-859
y = 519.125
Hence the maximum amount of profit the company can make is $519.
Learn more about profit here: https://brainly.com/question/24599492
-6x-8<4 plz help me this is sixty percent of my grade
Answer:
x>-2
Step-by-step explanation:
A local dump truck is carrying 13.4 tons of gravel. How many pounds is it hauling?
Answer:
26,800 pounds of gravel
Step-by-step explanation:
13.4 tons is equal to 26,800 pounds
The meteorologist predicts that tomorrow calls for a 60% chance of rain. What exactly does this mean?
A.
The chance of rain is low
B.
It's going to rain 60 times tomorrow
C.
It's going to rain for 60% of the day
D.
3 out of 5 days with these conditions it has rained
Misha wants to know how much wrapping paper is needed to cover a box with the dimensions shown.
What is the surface area of the box?
A. 96 square inches
B. 136 square inches
C. 68 square inches
D. 112 square inches
Please answer fast!!
Answer:
D. 136 square inches :)
Step-by-step explanation:
Can someone answer my question please
Answer:
Step-by-step explanation:
Arc length=∅/360×2πr (can't find the symbol of theta, use ∅ instead LOL)
[tex]\frac{\theta }{360}\cdot 2\pi \left(11\right)=16[/tex]
[tex]\frac{\theta }{360}=\frac{16}{22\pi }[/tex]
[tex]\theta \:=\frac{16}{22\pi \:}\cdot 360[/tex]
[tex]{\theta}=83.34[/tex]
Answer:
≈ 1.5 radians
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
Here arc = 16 , then
2πr × [tex]\frac{0}{2\pi }[/tex] = 16 ← cancel the 2π on numerator/denominator
11 ×θ = 16 ( divide both sides by 11 )
θ ≈ 1.5 radians ( to the nearest tenth )
What is the Volume?
Answer:
703.36
Step-by-step explanation:
the formula is v=b×h×pi
pi = 3.14
length: 28
base:8
So base (8) times length (28) times pi (3.14)
8×28×3.14 = 703.36
A AAS THEOREM
B CPCTC
C SAS POSTULATE
D ASA POSTULATE
Answer:
sorry i need the points UQIWBSJSVVS
Do the ratios 19:7 and 2:1 form a proportion?
yes
no
Answer:
No
Step-by-step explanation:
1x7 does equal 7
but 2x7 doesn't equals 14 not 19
Line I is parallel to line m. If the measure of <6 is 75 , what is the measure of <1 ??
Answer:
∠6=∠2 ( corresponding angles)
∠1+∠2= 180°(Linear Pair)
∠1= 180- 75= 105°
Step-by-step explanation:
Which vertex in XYZ corresponds vertex b in ABC
A. vertex Z
B. vertex Y
C. vertex A
D. vertex X
tan(x)/sec(x)=sin(x)
Answer:
(identity has been verified)
Step-by-step explanation:
Verify the following identity:
tan(x)/sec(x) = sin(x)
Hint: | Eliminate the denominator on the left hand side.
Multiply both sides by sec(x):
tan(x) = ^?sec(x) sin(x)
Hint: | Express both sides in terms of sine and cosine.
Write secant as 1/cosine and tangent as sine/cosine:
sin(x)/cos(x) = ^?1/cos(x) sin(x)
Hint: | Come to a conclusion.
The left hand side and right hand side are identical:
Answer: (identity has been verified)
Hope you could understand.
If you have any query, feel free to ask.
Subtract: (b^2 + 9 ab + 5a ) - ( 3b^2 -25ab + 1)
Answer:
- 2b^2 + 34ab + 5a - 1
Step-by-step explanation:
here's your solution
=> (b^2 + 9ab + 5a) - (3b^2 - 25ab + 1)
=> b^2 + 9ab + 5a - 3b^2 + 25ab - 1
=> - 2b^2 + 34ab + 5a - 1
hope it helps
BRAINLESS!!!
-what is the lowest fraction form of 8 boys to 16 girls
- what is the lowest fraction form of 100 blue marbles to 20 red marbles
- what is the lowest fraction form of 24 wins to 50 losses
- what is the lowest fraction form of 4 cups of vinegar to 20 cups of water
Answer:
1/2
25/5
12/25
1/5
Hope it helps!
5(x-4)+2x=14 help me find the answer x=?
Answer:
x = - 6/7
Step-by-step explanation:
Distribute 5 (x - 4) first --> 5x - 20
Combine like-terms: 5x - 20 + 2x = 14 --> 7x - 20 = 14
Subtract 20 on both sides: 7x = -6
Divide both sides by 7: x = -6/7
g(x) = −2x + 3; Find g(1)
Answer:
1
Step-by-step explanation:
g(1) = -2(1) + 3
g(1) = -2 + 3
g(1) = 1
2. Which of the following represent the value n, if the
expression below is rewritten in the form 3"?
3^-4 x 3^10
A) n = -40
B) n=6
C) n= -6
D) n=14
Your checking account balance is $50. You spend $11 and then deposit $27.
What is your current balance?
Answer:
66$
Step-by-step explanation:
50$-11$+27$
66$
Answer:
$66
Step-by-step explanation:
$50- $11= $39
$39+ $27= $66
I NEED HELP PLEASE WILL MARK BRAINLIEST
9514 1404 393
Answer:
$109.97
Step-by-step explanation:
Each straight piece of wire is the diagonal of a square that is 3" on a side. The Pythagorean theorem tells you the length of that diagonal is ...
d = √(3^2 +3^2) = √18 = 3√2 . . . inches
There are 4 such diagonals on each trivet, so the total length of wire for 12 trivets is ...
(12)(4)(3√2) = 144√2 . . . inches
At a cost of $0.54 per inch, the total cost for 12 trivets will be ...
($0.54)(144√2) = $109.97
The cost of the copper wire for making 12 trivets is $109.97.
6. How many solutions does the system 2y = 10x - 14 and 5x - y = 7 have? B two C none A one D infinitely many
Answer:
D infintely many
Step-by-step explanation:
These equations have the same slope and same y-intercept making them the same exact line/equation
Follooww me on iiii---nnnn---sss--tttt--aa---ggg--rrr--aaa---mmm-
i-n--s-t-a-g-r--a==m
Stewart.lil2-----
Answer:
ok sure
Step-by-step explanation:
Please helppp
A line that passes through the points whose coordinates are (1,1) and (5,7)
is dilated by scale factor of 3 and centered at the origin. The image of the line
a) is perpendicular to the original line
b) is parallel to the original line
c) passes through the origin
d) is the same line
Answer:
B
Step-by-step explanation:
The image that the line will produce would be:
b). is parallel to the original line.
Given that,
Coordinates = [tex](1,1) and (5,7)[/tex]
Scale factor [tex]= 3[/tex]
As we know,
Slope [tex]= \frac{y_{2} - y_{1} }{{x_{2} - x_{1}} }[/tex]
where;
[tex]y_{2} = 7[/tex]
[tex]y_{1} = 1[/tex]
[tex]x_{2} = 5[/tex]
[tex]x_{1} = 1[/tex]
By putting these values,
Slope [tex]= (7 - 1)/(5-1)[/tex]
[tex]= 6/4[/tex]
[tex]=[/tex] [tex]1.5[/tex]
∵The image of the line would be ║ to the original line.
Thus, option b is the correct answer.
Learn more about "Coordinate" here:
https://brainly.com/question/16634867
If the scale factor is 5/3 what is the width of the new rectangle?
Answer:
If 24 is the width then the answer is 40 and if 30 is the width then the answer is 50
Step-by-step explanation:
We multiply both sides by the scale factor to find both sides of the new rectangle. 30 * 5/3 = 50 and 24 * 5/3 = 40, so the sides of the new rectangle are 50 and 40. It matters whether 24 or 30 are the length or width, but if 24 is the width then the answer is 40 and if 30 is the width then the answer is 50