Which statement best describes the sequence defined by ?
The series diverges because it has a sum of 6.
The series converges because it has a sum of 3/4.
The series converges because it has a sum of 2.
The series diverges because it does not have a sum.
Answer:
well its not c so...
Step-by-step explanation:
that'll leave you w 3 others to choose from. sorry.
The series diverges because it does not have a sum option, fourth is correct.
What is the convergent of a series?A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums get closer and closer to a certain number.
We have an infinite series:
[tex]\rm \sum ^{\infty}_{n=1}\dfrac{3}{4}(2)^n[/tex]
[tex]\rm \sum ^{\infty}_{n=1}3(2)^{n-2}[/tex]
The above series is geometric series with first term 2 and the common ratio is 2.
Here 2>1
By the ratio test, the series is divergent.
Since the common ratio is greater than 1 the sum will be infinite.
Thus, the series diverges because it does not have a sum option, fourth is correct.
Learn more about the convergent of a series here:
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A triangle has sides 6 cm, 7 cm, and 10 cm. Is it a right triangle?
A plumber has been working at 4 customer sites. He has completed 1/4, 50%, 12.5%, 3/4 and of his work at the sites. Which list shows the work completed at the sites, in order from greatest to least? 1. 12.5%, 1/4, 50%, 3/4 2. 3/4, 50%, 1/4, 12.5% 3. 3/4, 12.5%, 1/4, 50% 4. 1/4, 50%, 3/4, 12.5%
Answer:
2. 3/4, 50%, 1/4, 12.5%
Step-by-step explanation:
Work completed at the 4 sites = 1/4, 50%, 12.5%, 3/4
1/4 = 0.25
50%
= 50/100
= 0.5
12.5%
= 12.5/100
= 0.125
3/4
= 0.75
in order from greatest to least?
3/4, 50%, 1/4, 12.5%
1. 12.5%, 1/4, 50%, 3/4
2. 3/4, 50%, 1/4, 12.5%
3. 3/4, 12.5%, 1/4, 50%
4. 1/4, 50%, 3/4, 12.5%
7. A rectangular prism has dimensions
4 feet x 3 feet X 10 feet. What
are the possible dimensions of a
horizontal or vertical cross section?
Answer:
yoi
Step-by-step explanation:
yoi
Someone help will mark brainlest and give alot of points please
pls help me besties ‼
Answer:
1 3 2
Step-by-step explanation:
OK BESTIE
Which best describes the effect of translating the equation y=1/2x+8 up or down the y axis?
Answer:
Option B, the y-intercept changes
Explanation:
This is because, the y-intercept is located on the y-axis, which is the vertical axis, moving the graph up and down would mean moving it vertically, therefore this would result in the change of the y-intercept.
Hope this helps!
Mia is touring New York City with her family. They want to visit the Empire State Building, Central Park, and Times Square before their dinner reservations at 8:45 P.M. They want to spend 1 hour and 15 minutes at the Empire State Building, 2 hours and 30 minutes in Central Park, and 1 hour and 15 minutes in Times Square. What is the latest time Mia's family can start their tour in order to make it to dinner on time?
Answer:
3:45pm
Step-by-step explanation:
the reason behind my answer is that in adding all the time they wanted to spend doing things around NYC it totaled 5 hours. 5 hours before 8:45pm is 3:45pm.
Which equation can be used to find 42x51?
Answer:
(40 x 50) + (2 x 1) = 2,000 + 2
Step-by-step explanation:
Mrs. Lia has 17 pounds of modeling clay. She divides the clay into 1/2 pound blocks. If Mrs. Lia puts aside2 if the blocks and gives the rest to the students in her art class, how many 1/2 pound blocks of clay does Mrs. Lia give to her class?
Answer:
6
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
A rectangular cardboard is 8cm long and 6cm wide. what is the least number of beads you can arrange on the board such that they are at least two of the beads that are less than √10cm apart?
Answer:
ixbhjshvshsbsjsbjssvisjywysuysrywuwyduysuuehehudh
1/3 of 3/5= ____?
pls i need help lol
Answer:
[tex]\frac{1}{5}[/tex] or 0.2
Step-by-step explanation:
Multiply 1/3 times 3/5
To multiply fractions, multiply numerators by numerators, and denominators by denomintors.
1 x 3 = 3
3 x 5 = 15
So, you get 3/15 = 1/5
A cottage has a gable roof. To the nearest foot, how wide is the cottage?A. 12 ftB. 24 ftC. 35 ftD. 70 ft
Answer: the answer is B: 24ft
Step-by-step explanation: To find how wide the triangle is identify your angles. You have a right angle which is equal to 90° and an angle that measures 46°. Add up both of these angles and you'll get 136°. A triangle can only have three angles that add up to 180. So subtract 180 and 136 you get 44. Multiply the hypotenuse by sin(46) to get the length of the side facing the opposite way of the angle that measures 44°. You will get 11.8 which is about 12. The other triangle is a congruent triangle meaning that it's angles and sides are the same. Add both 12's up and you have 24ft as your width for the cottage.
How many unit fraction cubes fit into the first layer of the rectangular prism?
Answer:
33 cubes
Step-by-step explanation:
The first layer is 5 1/2 x 3 = 16 1/2
Since each cube we're using to fill it is 1/2 unit long/wide, it's easiest to convert 16 1/2 into halves...16 = 32 halves + 1/2 = 33
hello please help i’ll give brainliest
Answer:
The first answer is correct.
Step-by-step explanation:
If we were to plot the numbers of the first one, we would see that they match up to the plot that is given.
Hope that this helps!
can someone help please it’s algebra 2
Answer:
length :16cm
wide :20cm
We have
Area of inner frame :16*20=320cm²
For
Total area =464cm²
(20+2x)(16+2x)=464cm²
320+32x+40x+4x²=464cm²
4x²+72x+320-464=0
4x²+72x-144=0
4(x²+18x-36)=0
x²+2.9.x+9²=9²+36
(x+9)²=117
x+9=√117
x=10.81-9
x=1.82[approximately]
So
width of frame;20cm+1.82+1.82=23.64cm
length: 16+1.82+1.82=19.64cm
Here length is smaller than breadth.
help the whole question is right there, it's pretty easy I just don't have brainpower
Answer:
Your answer is 211.8
Step-by-step explanation:
We've made a right triangle so the equation is a²+b² = c²
141²+158² = c²
141²+158² = 44845
Then you square root it
√44845 = 211.8
Please show work thank you
Answer:
x = -10, x = -6
Step-by-step explanation:
[tex]x^2+16x+60\\(x+10)(x+6)=0\\x=-10,x=-6[/tex]
PLEASE SOMEONE HELP ME??!! i really need it!! thank you!!
A 45°-45°-90° triangle has a hypotenuse that is 162–√ cm long. Each leg of the triangle is ___ cm long
Select the correct answer. If a group of distinct objects can be arranged in 120 different ways, how many objects are there?
A. 3
B. 4
C. 5
D. 6
Answer:
The answer is C!
Step-by-step explanation:
n! = 120
n = 5
Answer:
c 5
Step-by-step explanation:
Took the test
Help please one question
Drag each function to the correct location on the chart. Classify the functions as continuous and discontinuous functions. If a function is discontinuous, categorize it based on the type of discontinuity it exhibits.
Answer:
Continuous: g(x) and j(x)
Removable: h(x) and m(x)
Infinite: f(x) and i(x) and k(x)
Jump: l(x)
Step-by-step explanation:
Continuous: g(x) and j(x), Removable: h(x) and m(x), Infinite: f(x) and i(x) and k(x) & Jump: l(x)
What is the type of functions?A function is a relation among a fixed of inputs and a fixed of permissible outputs with the belonging that each input is associated with exactly one output. permit A & B to be any non-empty units, mapping from A to B might be a feature most effective while every detail in set A has one give up handiest one picture in the set.
The eight sorts are linear, strength, quadratic, polynomial, rational, exponential, logarithmic, and sinusoidal.
One to 1 characteristic or one to at least one mapping states that each detail of one set, say Set is mapped with a completely unique element of another set, say, Set in which A and B are distinctive units.
f(x) = f(y) implies x then f is one to at least one.
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I need help ASAP. Find the length of arc FD if the radius is 94 and m
Answer:
[tex]Arc \ length = 2\pi r \frac{\theta}{360} =[/tex] 172.3m
A cube with an edge length of 10 must be filled completely. How many cubic centimeters will be needed? Type
your answer in the box.
A cm3
Answer: 1,000 cm^3
Step-by-step explanation:
Volume of cube= bhw
All sides of a cube are equivalent so 10^3= 1000
need help asap! will give brainliest!
Answer:
x = 9
Step-by-step explanation:
tan 53° = 12/x
x = 12/tan 53°
x = 9.04
Helpppp pls
Find AB.
504 divided by 83 please help
Answer:
6.07
Step-by-step explanation:
Answer:
6.072289157
(6.07 rounded up)
Hope this helps!
Two plumbers received a job. At first, one of the plumbers worked alone for 1 hour, and then they worked together for the next 4 hours. After this 40% of the job was complete. How long would it take each plumber to do the whole job by himself if it is known that the first plumber would take 5 more hours to finish the job than the second plumber?
Answer:
Which subject is optional in the morning??
heyy! i’ll give brainliest please help.
Answer:
The 2nd one is related to the climate
Step-by-step explanation:
HaVe An AmAzInG DaY
(cosA+sinA)
2
+(sinA−cosA)
2
=2
Answer:
Here we want to solve:
(cos(A) + sin(A))^2 + ( sin(A) - cos(A))^2 = 2
First, remember the two expansions:
(a + b)^2 = a^2 + 2*a*b + b^2
(a - b)^2 = a^2 - 2*a*b - b^2
Using these relations, we can expand:
(cos(A) + sin(A))^2 = cos(A)^2 + 2*cos(A)*sin(A) + sin(A)^2
( sin(A) - cos(A))^2 = sin(A)^2 - 2*sin(A)*cos(A) + cos(A)^2
Replacing that in our equation, we geT:
(cos(A)^2 + 2*cos(A)*sin(A) + sin(A)^2) + (sin(A)^2 - 2*sin(A)*cos(A) + cos(A)^2) = 2
We can simplify this to get:
2*cos(A)^2 + 2*sin(A)^2 + 2*cos(A)*sin(A) - 2*cos(A)*sin(A) = 2
2*cos(A)^2 + 2*sin(A)^2 = 2
We can take the 2 as a common factor to get:
2*cos(A)^2 + 2*sin(A)^2 = 2*( cos(A)^2 + sin(A)^2) = 2
Now we can divide both sides by 2:
2*( cos(A)^2 + sin(A)^2)/2 = 2/2
cos(A)^2 + sin(A)^2 = 1
And this is a trigonometric property that is true for any value of A.
So the equality:
(cos(A) + sin(A))^2 + ( sin(A) - cos(A))^2 = 2
is true for any real value of A.