Answer:
See convergence analysis below
Step-by-step explanation:
For the expansion of 1/(1-t) in powers of t, we can recall that an infinite Geometric series with first term "1" and common ratio "t", in the case that the absolute value of "t" is smaller than 1, can be represented by:
[tex]\Sigma\limits^\infty_0\, t^n=\frac{1}{1-t} \\[/tex]
The condition for such, is that the absolute value of "t" is smaller than "1", which gives us the radius of convergence for this series "1" and the interval of convergence: - 1 < t < 1
Recall as well that using the geometric sequence [tex]1 + t + t^2 + t^3 +...[/tex]
The ratio test becomes [tex]\frac{a_{n+1}}{a_n} = t[/tex]
which is the SAME as the common ratio for the geometric sequence, and which in order to converge to the value [tex]\frac{1}{1-t}[/tex] requires that the absolute valu of the common ration be smaller than "1" rendering the same radius of convergence as discussed above.
What value of x will make the polygon a parallelogram?
Step-by-step explanation:
In a parallelogram, opposite sides are equal.
Hence 3x = 6 and x = 2.
Which sentence has modifiers in the right place to make its meaning clear?
A.
Every year, we bought a homemade apple pie at a little store that cost only $5 on the road to the cabin.
B.
Every year, we bought a homemade apple pie that cost only $5 at a little store on the road to the cabin.
C.
Every year, we bought a homemade apple pie at a little store on the road to the cabin that cost only $5.
The correct answer is B. Every year, we bought a homemade apple pie that cost only $5 at a little store on the road to the cabin.
Explanation:
In the sentences presented the section "that cost only $5" is a modifier because this describes the noun "homemade apple pie". Moreover, this modifier should be placed right after the noun it describes to clarify the "$5" refer to the cost of the pie.
This occurs in option B "a homemade apple pie that cost only $5" because this places the modifier after the noun, and this makes the sentence to be clear. On the other hand, in other options the meaning is confusing. For example in A "a homemade apple pie at a little store that cost only $5," it is not clear if the cost refers to the apple or the store.
56.13 value of 5what is the value of 5
Answer:
5=tens
6=ones
1=tenths
3=hundredths
Hope this helps
Step-by-step explanation:
Please help! 100 points and brainlieast if you can help!
Answer:
1. 38 oz / 2 lbs 6 oz
2. 254 in / 7 yd 2 in
3. 21 pt / 3 gal 2 qt 1 pt
4. 18,480 ft / 3 mi 2,640 ft
5. 180 oz / 6 lbs 12 oz
6. 525 s / 8 min 45 s
7. 318 in / 8 yd 2 ft 10 in (9.99996 inches not simplified)
8. 9 pt / 4 qt 1 pt
9. 15,885 s / 4 hr 24 min 45 s
The first answers are the ones I got originally and the second answers are the simplified ones.
Eloise bought 2 boxes of crackers to share with her friends. Her friends ate 1/2 of the first box and 2/3 of the second box.
How many boxes were left over?
a.1/2 box
b.3/5 box
c.5/6 box
d.1 2/5 boxes
Answer:
5/6 of a box is left over.
Step-by-step explanation:
2 - 1/2 - 2/3 = 0.83333333333
0.83333333333 in fraction form is 5/6.
A car travels 200 miles using 8 gallons of gasoline. What’s the unit rate in miles per gallon? Please write your work and don’t forget the unit.
Answer:
25 miles per gallon.
Step-by-step explanation:
The answer is 25 because 200 divided by 8 is 25.
P.S Can I have brainliest?
a. -6 + 2x + 4 + 3x - (-2)
What is the answer?
Answer:
5x
Step-by-step explanation:
-6 + 2x + 4 + 3x - (-2)
rearrange to make it easier to solve
2x + 3x - 6 + 4 - (-2)
add like terms, negative time negative is positive
5x - 2 + 2
5x
Select the correct answer.
ΔABC with vertices A(-3, 0), B(-2, 3), C(-1, 1) is rotated 180° clockwise about the origin. It is then reflected across the line y = -x. What are the coordinates of the vertices of the image?
A.
A'(0, 3), B'(2, 3), C'(1, 1)
B.
A'(0, -3), B'(3, -2), C'(1, -1)
C.
A'(-3, 0), B'(-3, 2), C'(-1, 1)
D.
A'(0, -3), B'(-2, -3), C'(-1, -1)
Answer:
the answer is d. hope this helps
Answer:
D.
A'(0, -3), B'(-2, -3), C'(-1, -1)
Step-by-step explanation:
PLATO2022 LNHS
Which expression can be used to find 7
-6
?
7(-6) +7
7(-6) +7
7(6) + 7
7(6) + 7
()
Answer:
-42/7
Step-by-step explanation:
From a list of 100 grade 12 students numbered 00 to 99, a sample of ten is taken. For each example below, identify what sampling method was used. Justify your choices.
a. 7, 17, 27, 37, 47, 57, 67, 77, 87, 97
b. 30, 31, 32, 33, 34, 35, 36, 37, 38, 39
c. 25, 21, 29, 28, 20, 52, 54, 50, 57, 51
d. 5, 14, 28, 38, 41, 55, 68, 70, 84,92
Answer:
Following are the solution to this question:
Step-by-step explanation:
We used sampling technique to collect samples throughout the instance of Options a and b because here each successive sample frame has the same gap of 10 (in the example) and in 'b' is 1, but we use a simple random sampling in 'b' and 'c' to collect the test because they can't follow any specific pattern from of the collecting systems here.
Find the gradient of the line segment between the points (1,2) and (3,-8)
Answer:
Every number of years 365 and I have been trying
The gradient of the line segment between points (1, 2) and (3, -8) will be -5.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
The points are given below.
(1, 2) and (3, -8)
Then the gradient of the line segment will be given as,
m = (- 8 - 2) / (3 - 1)
m = - 10 / 2
m = - 5
The gradient of the line segment between points (1, 2) and (3, -8) will be -5.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ5
(-6y + 8y4 − 5)(y2 − 11y)
Answer:
[tex]- 8y^6 - 88y^5-6y^3 + 71y^2 + 55y[/tex]
Step-by-step explanation:
Given
[tex](-6y + 8y^4 - 5)(y^2 - 11y)[/tex]
Required
Evaluate
[tex](-6y + 8y^4 - 5)(y^2 - 11y)[/tex]
Expand Brackets
[tex]y^2(-6y + 8y^4 - 5)- 11y(-6y + 8y^4 - 5)[/tex]
Open brackets
[tex]-6y^3 - 8y^6 + 5y^2 + 66y^2 - 88y^5 + 55y[/tex]
Collect Like Terms
[tex]- 8y^6 - 88y^5-6y^3 + 5y^2 + 66y^2 + 55y[/tex]
[tex]- 8y^6 - 88y^5-6y^3 + 71y^2 + 55y[/tex]
The area of cross section of a prism is 45cm² and its height is,10cm. Find its volume
Answer:
The Volume of triangular prism
V = 450 cm³
Step-by-step explanation:
Explanation:-
Given The area of cross section of a prism A = 45cm²
and height (h) = 10 cm
The Volume of triangular prism
V = ( Base area X Height )
= 45 X 10
= 450 cm³
The Volume of triangular prism
V = 450 cm³
how do I solve this?
Answer:
a
Step-by-step explanation:
its 6 loses over 14 wins
what is the standard form of (x + 1 + i)(x + 1 − i)
Answer:
hope it helps
Step-by-step explanation:
please mark me as brainliest thank you
In 1998, Hurricane Bonnie approached the United States at a speed of 8 miles per hour. The function y = 8x describes how many miles y Hurricane Bonnie traveled x hours. Use the graph to estimate how far the hurricane traveled in 2.5 hours.
Answer:
20 miles
Step-by-step explanation:
Given the equation of the line of the graph, y = 8x, where,
y = distance the hurricane travelled in miles
x = time of travel in hours
8 = slope/speed in miles/hour
To find how far the hurricane travelled in 2.5 hours, substitute x = 2.5 into y = 8x
This:
y = 8(2.5)
y = 20 miles
Thus, from the graph, we can estimate this also. On the x-axis, between 2 and 3, we have 2.5 hours. The corresponding value of x = 2.5 is y = 20.
Which of the folling equals (-19^-12X(-19)^4? -19^-36, -19^-8, -19^16, -19^-3
Answer:
[tex]\huge\boxed{(-19)^{-8}=19^{-8}}[/tex]
Step-by-step explanation:
Use
[tex]a^n\times a^m=a^{n+m}[/tex]
[tex](-19)^{-12}\times(-19)^4=(-19)^{-12+4}=(-19)^{-8}[/tex]
Answer:
They r correct lol
Step-by-step explanation:
Simplify 3(x- 4) + 8(x+ 2).
O 11x - 4
O 11x +4
O 11x -2
Answer:
11x +4
Step-by-step explanation:
A basketball player attemps 15 baskets in a game he makes 9 attemped baskets. Witch ratio describe the nuber of basketsthe player made to th number of baskets the player attemped
please help me to solve the problem
Answer:
This is the simplest form
Step-by-step explanation:
I don't think further simplification is possible
Convert 60 quarts to gallons. 60 qt = ? gal Will the converted amount have more or fewer units than the original?
Answer: 15 gallons .
Step-by-step explanation:
Step 1
4 quarts = 1 gallon
therefore 60 quarts = (60 quarts x 1 gallon) / 4 quarts
= 15 gallons .
Step 2-- The converted amount which is 15 has fewer units than the original which is 60.
Ramon recorded how many miles he biked each day in the table.
Distance (mi) Frequency
1 2
2 2
3 4
4 4
5 2
6 2
Create a dot plot for the data in the table. Hover over each number on the number line. Then click and drag up to create the dots.
Answer:
Please check the attached graph below.
Step-by-step explanation:
We know that a dot plot illustrates a visual display of data using dots.
Given that Ramon recorded how many miles he biked each day in the table, such as:
Distance (mi) Frequency
1 2
2 2
3 4
4 4
5 2
6 2
The dot plot of data points plotted as dots on a graph with an x- and the y-axis is attached below.
Answer
got the quiz right
Step-by-step explanation:
x x
x x
x x x x x x
x x x x x x
PLEASE I REALLY NEED HELP
Please please please
A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 50 nails and each large box has 350 nails. The contractor bought 5 more large boxes large boxes than small boxes, which altogether had 2550 nails. Determine the number of small boxes purchased and the number of large boxes purchased.
Answer:
Number of small boxes purchased : 2
Number of large boxes purchased : 5
Step-by-step explanation:
Let,
x be the number of small boxes of nails purchased
y be the number of large boxes of nails bought
Then according to given statement;
50x+350y = 2550 Eqn 1
y = x+5 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
50x + 350(x+5) = 2550
50x + 350x + 1750 = 2550
400x = 2550-1750
400x = 800
Dividing both sides by 400
[tex]\frac{400x}{400}=\frac{800}{400}\\x=2[/tex]
Putting x=2 in Eqn 2
y = 2+5
y = 7
Hence,
Number of small boxes purchased : 2
Number of large boxes purchased : 5
You are given the functions f(x) and g(x) = sin^-1(fx). Which of the following expressions represents the ratio of the derivatives of these two functions, f'(x)/g'(x)? Assume that the domain of g(x) is -pi/2 < f(x) < pi/2.
A. f'(x)/g'(x) = 1/(sqrt( 1 - (f(x))^2 )
B. f'(x)/g'(x) = 1/(sqrt( 1 + f(x) )
C. f'(x)/g'(x) = (sqrt( 1 - (f(x))^2 )
D. f'(x)/g'(x) = (sqrt( 1 - f(x) )
E. f'(x)/g'(x) = (sqrt( 1 + f^2(x) )
Answer:
C
Step-by-step explanation:
We are given the two functions:
[tex]\displaystyle f(x) \text{ and } g(x)=\sin^{-1}(f(x))[/tex]
And we want to find the ratio that represents:
[tex]\displaystyle \frac{f^\prime(x)}{g^\prime(x)}[/tex]
To do so, we will compute the derivatives of both functions.
For f, we can simply write that:
[tex]f^\prime(x)=f^\prime(x)[/tex]
For g, we will use the chain rule:
[tex]\displaystyle (u(v(x))^\prime=u^\prime(v(x))\cdot v'(x)[/tex]
We can let:
[tex]u(x)=\sin^{-1}(x)\text{ and } v(x)=f(x)[/tex]
We can double check this by doing the composition:
[tex]g(x)=u(v(x))=\sin^{-1}(f(x))[/tex]
Therefore, by the chain rule, we acquire that:
[tex]\displaystyle g^\prime(x)=\frac{1}{\sqrt{1-(v(x))^2}}\cdot v'(x)[/tex]
By substitution:
[tex]\displaystyle g^\prime(x)=\frac{f^\prime(x)}{\sqrt{1-(f(x))^2}}[/tex]
Hence, our ratio is:
[tex]\displaystyle \frac{f^\prime(x)}{g^\prime(x)}=\frac{f^\prime(x)}{\dfrac{f^\prime(x)}{\sqrt{1-(f(x))^2}}}[/tex]
Simplify:
[tex]\displaystyle \frac{f^\prime(x)}{g^\prime(x)}=\sqrt{1-(f(x))^2}[/tex]
Hence, our answer is C
Answer:
This isn't the answer as you can see it above, but do you have the rest of the questions?
Step-by-step explanation:
Thank you in advance.
A cook used 6 gal of cooking oil last month. She used 15% less this
month. How much cooking oil did she use this month?
Answer:
100%-15%=85%
She used 85% of the total oil for last month
So 6gallons × 85 ÷ 100 = 5.1 gal
Which ordered pair is a solution to the following linear system
Answer:
am confused
Step-by-step explanation:
Step-by-step explanation:
sorry Im not sure what the question is
Please answer quickly! will give brainiest. (100 points!!)
1. What is the measure of angle x?
A. 30
B. 90
C. 45
D. 60
2. What is the ratio of the sides for triangle XYC?
A. 1:1:2
B. 1:1:3
C. 1:2:2
D. 1:2:3
3. What is the length of segment AB?
A. 20/3cm
B. 20cm
C. 10cm
D. 10/3cm
4. What is the length of segment XY?
A. 10cm
B. 5cm
C. 10/2cm
D. 5/2cm
Answer:
1. 30°
2. [tex]1:1:\sqrt{2}[/tex]
3. 20cm
4. 5cm
Step-by-step explanation:
for the first one:
we have the triangle RVT and we know that
[tex]\angle V = 90\\\\\angle R = 60[/tex]
so [tex]\angle T[/tex] [tex]+ \angle V+\angle R[/tex] = 180
so
[tex]\angle T = 30[/tex]
for the second one
we know by specials right triangles that the sides are
[tex]x:x:x\sqrt{2}[/tex]
divide by x and get
[tex]1:1:\sqrt{2}[/tex]
for the third one
again by 30-60-90 triangle we know that
[tex]2BC=AB\\\\2(10)=AB\\\\AB=20[/tex]
for the fourth one
here we can use excersie 3 and the ratio of XY:YC = 1:1
that means they are equal so
XY=YC
XY = 5
There are 30 marbles in a bag. 24 of them are blue. What percentage of the marbles are blue?
Answer:
80%
Step-by-step explanation:
24/30 = x/100
100/30= 3 1/3
24 x 3 1/3= 80
LEO has $30. He splits it with his sister in the ratio 3:2. How much money does leo have left?
Answer:
18
Step-by-step explanation:
What does it mean to be sad and lonely
Answer: It means depression
Step-by-step explanation:
Answer:
Being sad means your body has entered a mini-clinical state, bringing back grief and usually making you remember past traumas for no existential reason. Sadness can drive you to feeling alone - not isolated, but alone with your inner thoughts. Your interior feeling cold, and like no one is there to put their hand out and help you become warm again. Sadness can drive you to loneliness, and loneliness can lead you to depression. Depression inverts your brain waves and makes you feel useless, no-good, nothing useful, just a joke.