Answer:
a. False the series [tex]\sum\limits_{i=1}^\infty (-1)^n[/tex]is bounded but does not converge
b. False, xₙ = n + (-1)ⁿ⁻¹(n - 1) does not diverge to infinity but it is not bounded for n ≥ 1
c. False some bounded sequences are divergent
An example of divergent sequences, aₙ, and bₙ, such that aₙ + bₙ converges is [tex]a_n = \sum\limits_{n} \dfrac{1}{n} , \, b_n = \sum\limits_{n} \dfrac{-1}{n}[/tex]
[tex]\sum\limits_{n} \dfrac{1}{n} + \sum\limits_{n} \dfrac{-1}{n}[/tex] is convergent
Step-by-step explanation:
It cost $5.25 for a bottle of 150 vitamins. if the cost varies directly with the number of vitamins in the bottle, what should a bottle of 250 vitamins cost?
what is the equation o the situation?
Could you please give me the equation and show me how you got it please so I could understand... thanks.
Answer: $8.75 for 250 vitamins.
Step-by-step explanation:
To find how much each vitamin costs we can divide $5.25 by 150.
5.25/150 = 0.035. So each vitamin is equal to $0.035.
We can then multiply the cost of 1 vitamin by 250.
0.035 x 250 = 8.75 or $8.75.
We can also make an equation for this problem. Let the total cost be equal to y and each vitamin equal to x.
y = 0.035x
So the equation above states that the total cost, y, is the amount of vitamins that are bought.
8increase by 3 times a number (t).
Answer:
8 + 3n
Step-by-step explanation:
Answer:
8 + 3t
Explanation:
GOD GIVE ME STRENGTH MATH REALLY BE TESTING ME
Answer: the answer is 162
Step-by-step explanation: good luck with your math test I hope you get a good grade
What is the area of this figure?
Enter your answer in the box.
___in^2
Answer:
400
Step-by-step explanation:
8*20/2+16*20=400.
During the football game, Justin caught three passes. One was for a touchdown and went 52 yards.
The other was for a first down and was for 17 yards. The other was on a screen pass that did not
work so well and ended up a gain of -10 yards. What was the total yardage gained by Justin on the
pass plays?
Answer:
59
Step-by-step explanation:
52+17-10=59
Which conic section is represented by the following equation?
5x2 – x + 5y2 – 3y + 4 = 0
Circle
Ellipse
Parabola
Hyperbola
Answer:
A. circle
Step-by-step explanation:
Answer:
A: Circle!
Step-by-step explanation:
Edge 2022
Triangle PQR IS SIMILAR TO Triangle KLM.
What is the value of x in inches?
A 7 in.
B 148 in.
C 92 in.
D 168 in.
Find the errors and correct the following mathematical sentences.
Answer:
Step-by-step explanation:
18). 3x + 2 ÷ 3x = [tex]\frac{2}{3x}[/tex]
Since, 3x + 2 ÷ 3x = 3x + [tex]\frac{2}{3x}[/tex]
Therefore, right hand side of the equation will be = 3x + [tex]\frac{2}{3x}[/tex]
20). [tex]\frac{4x+3}{3}=x+1[/tex]
Since, [tex]\frac{4x+3}{3}=\frac{4x}{3}+\frac{3}{3}[/tex]
= [tex]\frac{4}{3}x+1[/tex]
Therefore, right hand side of the equation should be [tex]\frac{4}{3}x+1[/tex].
a number rounded to the nearest thousand is 47000 which number could be the number that was rounded?
Answer:
46900
Step-by-step explanation:
46900 or 46800 or 46700 or 46600
Clara went to a music store and brought some CDs and DVDs. She paid $14 for each CD and $17 for each DVD. Let x represent the number of CDs that she purchased and y represent the number of DVDs.
PLEASE HELP ASAP
TRIGONOMETRY
Answer:
11). x = 25.8°
12). x = 67.3°
Step-by-step explanation:
11). By using sine rule in the given triangle,
cos(x) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(x) = [tex]\frac{27}{30}[/tex]
x = [tex]\text{cos}^{-1}(\frac{9}{10} )[/tex]
x = 25.84
x ≈ 25.8°
12). By applying tangent rule in the given triangle,
tan(x) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(x) = [tex]\frac{43}{18}[/tex]
x = [tex]\text{tan}^{-1}(\frac{43}{18} )[/tex]
x = 67.29°
x ≈ 67.3°
Gravel is being dumped from a conveyor belt at a rate of 15 ft3/hr and its coarseness is such that it forms a pile in the shape of an inverted right cone whose height is three times its base radius. How fast is the height of the pile increasing when the pile has a height of 10 ft
Answer:
0.43 ft/hr
Step-by-step explanation:
dv/dt = 15ft³/hr
Height = 10ft
We are required to get dh/dt
h = 3r
r = h/3
Formula for volume = 1/3πr²h
We put value of h
1/3π(h/3)²h
= 1/3π(h²/9)h
= 1/3πh³/9
= πh³/29
dv/dt = 1/27π.3h²dh/dt
= dv/dt = πh²/9dh/dt
Remember dv/dt = 15
When we put this in we get
dh/dt = 15x9/3.142x10²
= 135/314.2
= 0.43 ft³/hr
Please check the attachment I added also to add you.
Luis walked for 16 minutes. Natalie walked for w minutes. Luis walked twice as long as Natalie. How long did Natalie walk?
Answer:
Natalie walked for 4 minutes because 16 divided by 2 is 4
Answer:
8
Step-by-step explanation:
16/2=8
Find the value of x
Answer:
it's 60
Step-by-step explanation:
Identify each part in the expression below. will give brainliest
Answer:
smalls
Step-by-step explanation:
Part B: Which box-and-whisker plot displays
Mario's data?
Brainliest quick
Answer:
Step-by-step explanation:
i think it's D i have the same test today
Answer:
C cause it has to be 54 then the median is 58
Step-by-step explanation:
Help please!!!
I’m failing math and I need help
Answer:
3.
vertically opposite angles ,
= 30°
4. 50° +30°+2x = 180°
80°+2x=180°
2x=180°-80°
2x=100°
Write the ratios of each for the given triangle below
SinA=
CosA=
TanA=
SinB=
CosB=
TanB=
Answer:
i have made it in above picture
please help me i really need help please
Answer:
39°
Step-by-step explanation:
180-90-51=39
Answer:
its 39
Step-by-step explanation:
you know that a right triangle already has the angle 90 so 51 plus 90 equals 141
180-141=39
I think the answer is nine but I’m not sure how to explain how I got my answer
Answer:
ur answer is right it is 9
Step-by-step explanation:
NOTE: divide the number 36 with 4 and u will get 9
GOOD JOB
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
Pleeease help for my exam. Suppose a bag contains 8 silver coins and 2 bronze coins what is the probability of randomly choosing a silver coin not replacing it and then randomly choosing another silver coin??
Answer: 28/45
Step-by-step explanation:
look at picture for question WILL MARK BRAINILEST PLEASE
Answer:
C
Step-by-step explanation:
The mean is 6
The median is 6
The mode(s) are 5 and 7
What is x in 1/150/1/200x2=x
Answer:
6.66666667E-5
hope this helped a bit!
Ignore the answer I chose it didn't let me click off of it
Answer:
d i think
Step-by-step explanation:
Mr. Conway is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the
roof, which is 20 feet high. The base of the ladder is 15 feet away from the house, where Mr. Conway's son is
holding it steady. How long is the ladder? Draw a picture and show your work.
The question is in the graph. Please help.
Answer:
A I think
Step-by-step explanation:
because if you add them up.
Answer:
Aprox. 216 days
Step-by-step explanation:
Add the counts of the green bar(5-10mm) and the brown bar (0-5mm).
The brown is roughly 130 and the green is roughly 80, which is approx 216 days.
If i helped, a brainliest answer would be greatly appreciated!
What is the rectangular form of Theta = StartFraction 3 pi Over 4 EndFraction?
Answer:
C
Step-by-step explanation:
edge
Answer:
C or x+y=0
Step-by-step explanation:
edg
What is 2 ½ divided by ½ equal too
Answer:
it woulb be 1.25
giving brainliest *easy*
Answer:
pi
Step-by-step explanation:
to convert angles to radians you must multiply the angle measurement by the formula pi/180
180 x pi/180
the 180s cancel out and you are left with pi
Answer:
3.14159 Radian
Step-by-step explanation:
3.142rad × 180/π = 180°
Pls help
Find the surface area of the composite figure.
Answer:
644 cm³
Step-by-step explanation:
Surface area of the composite figure = (surface area of the upper cuboid - base area of upper cuboid) + (surface area of the lower cuboid - base area of the upper cuboid)
✔️Surface area of upper cuboid = 2(LW + LH + WH)
L = 3
W = 3
H = 8
Surface area of upper cuboid = 2(3*3 + 3*8 + 3*8) = 2(9 + 24 + 24) = 114 cm²
✔️Surface area of Surface area of lower cuboid = 2(LW + LH + WH)
L = 12
W = 10
H = 7
Surface area of lower cuboid = 2(12*10 + 12*7 + 10*7) = 2(120 + 84 + 70) = 548 cm²
✔️Base area of upper cuboid = L*W
L = 3
W = 3
Base area = 3*3 = 9 cm²
✅Surface area of the composite figure = (114 - 9) + (548 - 9) = 105 + 539 = 644 cm³