Answer:
1) Diverges. 2) Converges. 3) Converges. 4) Converges. 5) Diverges. 6) Diverges. 7) Converges. 8) Converges to 2.5. 9) Diverges
Step-by-step explanation:
In order to find the convergence or divergence of a geometric series, we have to focus on the absolute value of its radius
The theorem states that if [tex]|r|<1[/tex] then the series converges to [tex]\frac{a_{1} }{1-r }[/tex]
1) The radius is r = 4 which is greater than one so it Diverges.
2) The radius is [tex]r=\frac{-3}{4}[/tex] and [tex]|r|=\frac{3}{4}[/tex] which is less than 1 so it Converges.
3) The radius is 0.5 which is less than 1 so it Converges.
4) To figure out unknown radius, we divide the 2nd term from the first, in this case we have [tex]\frac{27}{81} =\frac{1}{3}[/tex] which is less than one so it Converges.
5) for this one, since the second term is bigger than the first, if we divide them, the answer would always be bigger than 1 so it Diverges.
The geometric series are given by the formula ∑[tex]C(r)^{n}[/tex] where c is a constant.
6) in this case our [tex]r = \frac{3}{2}[/tex] which is bigger than 1 so it Diverges.
7) [tex]r = \frac{-1}{4}[/tex] and [tex]|r|=\frac{1}{4}[/tex] which is less than one so it Converges.
to find the sum of a convergent geometric series, we use the formula [tex]\frac{a_{1} }{1-r}[/tex]
8) plug in given information
[tex]a_{1} = 3\\r = \frac{-1}{5}\\\\=\frac{3}{1-(-\frac{1}{5}) }\\= \frac{3}{1+\frac{1}{5} }\\= 2.5[/tex]
9) since [tex]r = -3[/tex] and [tex]|r|=3[/tex], r is greater than 1 and it Diverges.
Hopefully the work I did was right. Have a good one!
Ther *must* be an faster way of symplifying this expression. What could I have done differently?
Answer:
3x4
Step-by-step explanation:
You're gonna want to simplify that equation. We see the three and the four. Multiply that to get x^12
The diagonals of square ABCD intersect at point E. If BE = 2x + 1, and AC = 3(6x - 4), find BD.
Answer:
Step-by-step explanation:
5
Invent measurements that would show triangle XYZ is similar to triangle NLM using the Side-Angle-Side Triangle Similarity Theorem.
Answer:
The answer is that when you put the LMN. You can rotate it. Then we know it is similar.
Using the rotation method of the triangle LMN show triangle XYZ is similar to triangle NLM using the Side-Angle-Side Triangle Similarity Theorem.
What is the similarity law for triangles?It is necessary to demonstrate compliance with the law to establish that two triangles are identical in both shape and size. The angles that correspond to those sides have the same congruence and the same ratio of sides.
It is given that the two triangles are triangle XYZ and triangle NLM.
Two triangles are said to be comparable if the ratio of one triangle's two sides to the two sides of another triangle is the same, and the angles that the two sides of both triangles inscribe are equal.
Thus, triangle XYZ is similar to triangle NLM using the Side-Angle-Side Triangle Similarity Theorem.
Learn more about the similarity of triangles here:
brainly.com/question/8045819
#SPJ2
Someone please answer this
Answer:
Answer what?
Step-by-step explanation:
29. The table shows the average annual salary in dollars based on the minimum level of education required for two occupations. Based on the average annual salaries in the table, how much more would an accountant eam than a tax preparer over a 30 year career? Occupations Occupation Average Annual Salary (dollars) Level of Education Required Accountant 71,040 41,700 Bachelor's degree High school diploma Tax preparer A $112,740 B. $3,382,200 C. $880,200 D. $1,251,000
Answer:
c. 880,200
Step-by-step explanation:
ur welcome
bill,bob,and joe each have 9 oranges. Then a stranger gave Tim 4 oranges. He then gave 3 to his mother.
WILL MARK BRAINLY FOR WHO EVER ANSWERS THIS FIRST
Answer:
(0,1)
Step-by-step explanation:
the answer is (0,1)
Brainlest and points !! Picture included
Are all rectangles and squares are parallelograms ?
Answer:
A parallelogram has opposite sides parallel and equal in length. Also opposite angles are equal (angles "A" are the same, and angles "B" are the same). NOTE: Squares, Rectangles and Rhombuses are all Parallelograms!
Yes, they are.
Answer:
Yes
Step-by-step explanation:
Squares are quadrilaterals with 4 congruent sides and 4 right angles, and they also have two sets of parallel sides. Parallelograms are quadrilaterals with two sets of parallel sides. Since squares must be quadrilaterals with two sets of parallel sides, then all squares are parallelograms.
Hope it is helpful....The Table shows the relationship and speeds between a cheetah and a line. What is the missing value in the table?
Cheetah (miles per hour)
7 14 ? 28 35
Lion (miles per hour)
5 10 15 20 25
A. 19
B. 21
C. 23
D. 25
Please help ASAP!!
377?.378f5885246799448855
Answer:
Wwhatwhatwhatwhatwhat
Step-by-step explanation:
Answer:
What?
Step-by-step explanation:
You must have smacked your keyboard
377?.378f5885246799448855
The Lazy River has a current of 2 miles per hour. A motorboat can travel 15 miles
down the river in the same amount of time it takes to travel 9 miles up the river.
What is the speed of the boat in still water? Please show your work and use table to
relate time, speed, distance.
Answer:
8mph
Step-by-step explanation:
I just answered the question
When solving a quadratic using factoring, does it matter if the first x solution is on the left or right side? And same for the second x? In the answer
Answer:
it is either way, you can put x on the left side or the right side. Just make sure your signs are correct
A building in a city has a rectangular base. The length of the base measures 70 ft less than twice the width. The perimeter of this base is 820 ft. What are the dimensions of the base?
Answer:
160 ft, 250ft
Step-by-step explanation:
Rectangular base:
Width = w
length =2w - 70
Perimeter = 820 ft
2*(length + width) = 820
2*(2w - 70 + w ) = 820
2 *(2w + w - 70) = 820 {Combine like terms}
2* (3w - 70) = 820
3w*2 - 70*2 = 820
6w - 140 = 820
6w = 820 + 140 {Add 140 to both side}
6w = 960 {Divide both sides by 6}
w = 960/6
w = 160 ft
length = 2*160 - 70
= 320 - 70
= 250 ft
Find the area (in square centimeters) of a regular pentagon
Answer:
Given
apothegm [a]=3.2cm
since Pentagon has 5 equal side
perimeter [P]=5×4.6=23cm
now
Area of regular pentagon
A=1/2 aP=1/2×3.2×23=36.8cm²
A scale drawing of an NFL god post uses a
scale of 2 inches = 5 feet. If the actual width
of the goal post is 182 feet, what is the width
of the goal post on the drawing?
HURRY! What is the circumference of the circle below? Use 3.14 for π.
Answer:
2.14 divided by 5 x 2 is the ansewer
Step-by-step explanation:
what is 5 - 5 + 5 x 5 / 5
[tex]5 \times 5[/tex]
Answer:
The answer is 5
Step-by-step explanation:
The answer is 25
Solve each of the following equations show its solution set a number line your answers |5-7r| =3
Answer:
R= 2/7 or 8/7
Step-by-step explanation:
make a number line of 1/7 fraction and plot the dots
Solve each proportion 3/39= y/13
Answer:
[tex]y = 1[/tex]
Step-by-step explanation:
[tex] \frac{3}{39} = \frac{y}{13} [/tex]
Cross multiply
[tex]39 = 39y[/tex]
Divide by 39
[tex]y = 1[/tex]
Answer:
[tex]\boxed {\boxed {\sf y=1}}[/tex]
Step-by-step explanation:
To solve the proportion, we must solve for the variable. This is done by isolating the variable.
[tex]\frac {3}{39}= \frac {y}{13}[/tex]
The variable, y, is being divided by 13. The inverse of division is multiplication. Multiply both sides of the proportion by 13.
[tex]13*\frac {3}{39}= \frac {y}{13}*13[/tex]
[tex]13*\frac {3}{39}=y\\1=y[/tex]
Another way to solve is by cross multiplying. Multiply the 1st numerator by the 2nd denominator, then the 1st denominator and the 2nd numerator.
[tex]\frac {3}{39}= \frac {y}{13}[/tex]
[tex]3*13=39*y\\39=39y[/tex]
Divide both sides by 39 to isolate the variable.
[tex]39/39=39y/39 \\1=y[/tex]
In this proportion, y is equal to 1.
help me plssssssssss
9514 1404 393
Answer:
a, c, d
Step-by-step explanation:
b is NOT equivalent, because the content of parentheses is evaluated first. That makes the expression equal to 2/15, which is not equal to the given expression.
[tex]\dfrac{2}{(5\times 3}=\dfrac{2}{15}\ne\dfrac{2}{5}\times3=\dfrac{6}{5}[/tex]
__
Expressions (a) and (d) are exactly the same thing, written using different symbols for division. Expression (c) is the equivalent.
Tarzan leaned a 100-foot ladder against the side of a building. The
hase of the ladder is 18 feet from the base of the building. The top of
the ladder is 16 feet from the top of the building How tall, to the
narest tenth of a foot, is the building?
16
100
18
Answer:
is 16 foot a part from the building
What is the circumference in centimeters of the circle? Use 3.14 for 7. Enter your answer in the box
24 cm
cm
Answer:
75.36
Step-by-step explanation:
24 cm x 3.14 = 75.36
find the equation of the line use exact numbers
Answer:
y = -³/2x + 3
Step-by-step explanation:
To find the equation of the line in slope-intercept form, y = mx + b, we need to finder the slope (m) and the y-intercept (b).
✔️Slope (m) = ∆y/∆x
Using two points on the line, (0, 3) and (2, 0),
Slope = (0 - 3)/(2 - 0) = -3/2
Slope (m) = -³/2
✔️y-intercept (b) = 3 (this is the y-cooordinate of the point where the line intercepts the y-axis)
✔️To write the equation, substitute m = -³/2 and b = 3 into y = mx + b
This:
y = -³/2x + 3
11. Which of the following shows the first 5 terms in
the sequence defined by f(1) = -8, f(n) = 2f(n - 1)?
f. 2, -16, 128, -1024, 8192
h.2, -6, -14, -22,-30
g. -8, -16, -32, -64, -128
j. -8, -6, -4, -2,0
Which is the cost of the minimum spanning tree of the weighted graph using Kruskal's Algorithm?
28
30
31
40
9514 1404 393
Answer:
(a) 28
Step-by-step explanation:
Kruskal's algorithm has you identify the shortest edge at each stage, including in the tree any identified edge that does not form a cycle. Here, we can start with AB, then add DF, EH, HG, BG, AC, CD and that covers the entire graph.
Starting at E, the node list is EHGBACDF. The cost is ...
3 +4 +5 +1 +6 +7 +2 = 28
__
In the attached, the minimum-cost spanning tree is highlighted in red.
I'm stuck on this math problem. Please only answer if your 100% sure. ( Look at the picture for the problem) Will Mark Brainliest.
Answer:
-2x^4+10x^3-21x^2+19x-4
Step-by-step explanation:
Answer:
-2x^4+10x^3-21x^2+19x-4
Step-by-step explanation:
trust me bro
Aiden calculated that their family used 20% of their monthly income for food, and 15% of the money spent on food was spent on snacks. If they spent $45 on snacks, what is their monthly income?
Answer:
There monthly income is 300$
-27 +2+ 23р - Зр
Hurry please
Answer:
20p - 25
Step-by-step explanation:
-27 +2+ 23р - Зр
20p - 25
Answer:
-25+20p
Step-by-step explanation:
Add -27 and 2
-25+23p-3p
Subtract 3p from 23 p
-25+20p
Hope this helps! If so brainiest, please?
Thanks!!!
Jeremiah wants to send some of his shirts to a dry cleaner. he usually takes his clothes to Spot-Less Dry cleaners, where he pays $4.50 per shirt. He sees a sign at No Mess or Stress Dry Cleaners that says it's $21.00 to have 4 shirts cleaned. Which is the better deal?
answer:spot-less
Step-by-step explanation:
21.00 divided by 4 is 5.25 so you'd be payingmore at "no mess or stress dry"