So, the infinite sum can be determined in the geometric series a₁ = 5, r = -0.5.
For a geometric series the infinite sum is given by s = a/(1 - r) where a = first term, r = common ratio and |r| < 1.
For each of the geometic series given below, we need to determine if |r| < 1.
For a₁ = -0.25, r = - 3, |r| = |-3| = 3 > 1
For a₁ = 0.75, r = 4, |r| = |4| = 4 > 1
For a₁ = 3, r = 2, |r| = |2| = 2 > 1
For a₁ = 5, r = -0.5, |r| = |-0.5| = 0.5 < 1
Since we require |r| < 1 to find the infinite sum and |r| in the last geometric series |r| = 0.5 < 1, the infinite sum can be found in the geometric series a₁ = 5, r = -0.5..
So, the infinite sum can be determined in the geometric series a₁ = 5, r = -0.5.
Learn more about infinite sum of geometric series here:
https://brainly.com/question/16037289
Use the table to work out the values of
a
,
b
,
c
, and
d
.
x
y
=
3
x
−
x
2
+
6
−
3
a
−
2
−
4
−
1
b
0
6
1
8
2
c
3
d
Answer:
Here is your answer
Step-by-step explanation:
50
Billy has 201 packages of postcards. Each package has 18 cards. Use rounding to estimate. About
how many cards does Billy have?
how to calculate $15 with a 40% off
Answer:
15 x 0.40=6
so subtract 6 from 15, and you have $9.
Hope this helps!
Answer:
$9 is correct
Step-by-step explanation:
$15 x 60% is $9
to find 60% you use 100%-40% equals 60%
does this make sense?
do you use multiplication at all when solving for x
Help help help math
area of the circle is 12 inches ²
If i watch a movie at 7:00 pm and the movie lasts 1h 49m what time will it be when it finishes?
Answer:
it would finish at 8:49
Step-by-step explanation:
Have a nice day :)
Answer:
it's really simple seriously, but it will end at 8:49m
Step-by-step explanation:
5/6+3/4+2/3 answer please
Answer:
2.25
Explanation
2/3 can be made into 4/6 then added to 5/6
Grab 5/6 and add it to 3/4, we do this by making them have the same bottom number (denominator) so we multiply 9/6 (4/6 + 5/6) by 2 (both top and bottom number) so now we have 18/12 + 4/6 so now we can make 4 be 12 by multiplying it by 3, but we need to do that to the top number as well to make it balanced, so now we have 18/12 + 9/12 and we get 27/12 or 2.25.
help! provide the missing statement and reasons for the following proof:
Theorem: opposite sides of parallelograms are congruent
Given: Parallelogram ABCD with diagonal AC
Prove: AB ≅ CD and AD ≅ BC
Answer:
So I figured it would be easier if I sent the pics instead. Hope it helps
I need help bro please I love you
Answer:
The first one ( y<-8 or y>4 )
Step-by-step explanation:
Answer:
y< -8 or y > 4
Step-by-step explanation:
Interval Notation:
(-∞,-8)∪(4,∞)
Find the area of trapezium where area=5cm base=6cm height=8cm
Answer:
44cm2
Step-by-step explanation:
[8×(5+6)]/2
=(8×11)/2
=88/2
=44cm2
P^2 x 2p^4 x q x q^2
(m^2 x m^4) ÷ m^5 x m^2
Answer:
[tex]\huge\boxed{2p^6q^3}\\\boxed{m^3}[/tex]
Step-by-step explanation:
[tex]Use\\\\a^n\cdot a^m=a^{n+m}\\\\p^2\cdot2p^4\cdot q\cdot q^2=(p^2\cdot2p^4)\cdot (q\cdot q^2)=2p^{2+4}q^{1+2}=2p^6q^3[/tex]
[tex]Use\\\\a^n\cdot a^m=a^{n+m}\\\\a^n:a^m=a^{n-m}[/tex]
[tex](m^2\cdot m^4):m^5\cdot m^2=m^{2+4}:m^5\cdot m^2=m^{6-5}\cdot m^2=m^{1+2}=m^3[/tex]
HELPP ME PLEASEEE ! I NEED IT RNN
Can i please have help with this question brainliest for corecct answer
answer is D
graduent should be m¹×m²=-1
and should be the inverse of the other
what 550 divided by 12 and then divide the answer by 4
Answer:
550 / 12 = 45.84
45.84 / 4 = approximately 11.46
Answer: 11 11/24
Step-by-step explanation: 550/12 275/6/4/1
(275/6)(1/4)
275/24
11 11/24
20 times the difference of a number, z, and 7
Answer:
20(z-7)
Step-by-step explanation:
Will give BRAINLIEST
Answer:
Quadrant 4
Step-by-step explanation:
Answer:
3rd quadrant
Step-by-step explanation:
it has the pentagon
What is the probability of rolling an even number on a number cube and flipping a tails on a coin?
Answer:
25% or 1 in 4 chance.
Step-by-step explanation:
The chances for rolling an even number are 3/6, because there are 6 numbers total, and 3 are even.
3/6 can be re-written as 1/2.
The chances of landing tails are also 1/2, because there are 2 sides and tails is one of them.
So then, multiply 1/2 by 1/2 to get 1/4.
pls help me! (more info in photo)
Answer:
x+ 3/2y= 15
Step-by-step explanation:
8x+12y=120
To put the equation into standard form, the leading coefficient has to be 1. So, divide the whole equation by 8.
x+ 3/2y= 15
Quadrilateral Properties
Match the properties to the shape. Properties may be used more than once and shapes may have more than one property.
MANY POINTS FOR HELPING PLEASE!!!
Giving branliest to correct
Answer:
2/3
Step-by-step explanation:
In the problem the question is How much longer so that means subtract.
10/12 - 1/6 =2/3
Answer:
maybe 2/3 inches
let me know if its wrong..
−3x+5y=2x+3y ordered pairs
Answer:
y=5/2x
Step-by-step explanation:
5x=2y
y=5/2x
you cant get ordered pairs from this directly you will only get an equation
2+2×4 that is my question i need help
Answer:
10
Step-by-step explanation:
2+(2x4)
2x4=8
2+8=10
Answer:
10
Step-by-step explanation:
so we need to use PEMDAS
2×4=8
8+2=10
What is the slope of a line that passes through the points (5, 6) and (−11, 14)
Answer:
m = -1/2
Step-by-step explanation:
let me know if it helped
(too lazy to write a explanation)
i need help on this assignment
Given the scatter plot below, write the equation for the line of best
fit in slope-intercept form.
Answer:
y = 5x + 6
Step-by-step explanation:
lmk if you want an explanation
Solve the system of linear equations.
13x+y=1
2x+6y=6
Answer:
x = 0 and y = 1 Solution: (0, 1)
Step-by-step explanation:
13x + y = 1 multiply by -6 ⇔ -78x - 6y = -6
2x + 6y = 6 do not change ⇔ + 2x + 6y = 6
-76x = 0
x = 0
Use the second equation to solve for y if x = 0
2x + 6y = 6
2(0) + 6y = 6
0 + 6y = 6
6y = 6
y = 1 Solution (0,1)
Marco is five years less then twice hi sister Leah's age. Their mother is 14 years older than Marco and Leah's combined ages. If their mother is 48 years old, how old is Marco?
Answer:
Marco is 21
Step-by-step explanation:
Let the sister's age = x
Marco's age = 2*x - 5
x + 2x - 5 + 14 = 48 Combine the left side of the equation.
3x + 9 = 48 Subtract 9 from both sides
3x = 48 - 9
3x = 39 Divide by 3
x = 39/3
x = 13
So the sister is 13
Marco = 2x - 5 = 2*13 - 5
Marco = 21
Find the slope of the graphed line.
ASAP
y = mx+b
y = 1/3x+4
Sincerely,
William
Which expression below shows that 98 can be written as the product of prime numbers?
A 2 × 49
B 7 × 7 × 2
C 5 × 5 × 2
D 14 × 7
Answer:
Step-by-step explanation:
Option A
(-2)(-49)
=2×49
=98
Option B
(4)(-27)
=-108
Option C
(-7)(14)
=-98
Option D
(-9)(11)
=-99. As a result, there us only one correct option that equal -98 which is Option C. Hope it help!
1. A grand tour of four cities begins at city A and makes successive stops at cities B, C,
and D before returning to city A. If the cities are located as shown in the
accompanying figure, find the total distance covered on the tour. The units are in
miles.
0-900,800)
400,300)
D1-800,0)
ALOO
Using distance between two points, it is found that the total distance covered on the tour is of 3400 miles.
Given two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], their distance is given by:
[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
In this problem, the formula is used to find the distance covered on each tour, hence:
[tex]d_{AB} = \sqrt{(400 - 0)^2 + (300 - 0)^2} = 500[/tex]
[tex]d_{BC} = \sqrt{(-800 - 400)^2 + (800 - 300)^2} = 1300[/tex]
[tex]d_{CD} = \sqrt{(-800 - (-800))^2 + (0 - 800)^2} = 800[/tex]
[tex]d_{DA} = \sqrt{(0 - (-800))^2 + (0 - 0)^2} = 800[/tex]
Then, the total distance is given by the sum of each separate distance, hence:
[tex]d = d_{AB} + d_{BC} + d_{CD} + d_{DA} = 500 + 1300 + 800 + 800 = 3400[/tex]
The total distance covered on the tour is of 3400 miles.
You can learn more about distance between two points at https://brainly.com/question/25929988