Answer:
B, C, E
Step-by-step explanation:
Got it right on edge
The series C: 625 – 125 + 25 – 5 + … converges. Explanation given.
What is common ratio?The distance between each number in a geometric series is known as the common ratio. The ratio between two consecutive numbers, or a number divided by the number before it in the sequence, is known as the common ratio since it is the same for all numbers or common.
Given series:
A: 9 + 81 + 729 + …
B: 1 + 0.25 + 0.0625 + 0.015625 + …
C: 625 – 125 + 25 – 5 + …
D: 8 – 16 + 32 – 64 + …
To prove convergence:
A: 9 + 81 + 729 + …
Simplifying,
9 + (9)² + (9)³+ ....
The first term = 9
The second term = (9)²
So, the ratio = 9
That means, the geometric series with common ratio
IrI = 9 > 1
So, if the common ratio of geometric series is greater than 1 then the series diverges.
B: 1 + 0.25 + 0.0625 + 0.015625 + …
Simplifying,
1 + (1/4) + 1/(4)²+ ....
The first term = 1
Second term = 0.25
Third term = 0.0625
The ratio r = 4
IrI = 4 > 1
So, if the common ratio of geometric series is greater than 1 then the series diverges.
C: 625 – 125 + 25 – 5 + …
Simplifying,
The first term = 625
Second term = 125
Third term = 25
The ratio r = -125/625 = -1/5
IrI = 1/5 < 1
So, if the common ratio of the series is lesser than 1 then the series converges.
D: 8 – 16 + 32 – 64 + …
The first term = 8
Second term = -16
The ratio = -16/8 = -2
IrI = 2> 1
So, if the common ratio of the series is greater than 1 then the series diverges.
Therefore, the series C converges.
To learn more about the common ratio;
https://brainly.com/question/13637951
#SPJ2
Can u tell me how to do step by step using pemdas please
Answer:
24
Step-by-step explanation:
PEMDAS is an acronym for the order of operations.
P: Paranthesis
E: Exponents
M: Multiplicating
D: Division
A: Addition
S = Subtraction
(Note that division and multiplication are in the same "stage" and don't take priority over one another.)
10 + 4 / 2 x (5 - 1 + 3)10 + 4 / 2 x 710 + 2 x 710 + 1424Answer:
Step-by-step explanation:
you want to know the precedence of order.
the P is parenthesis... do those 1st
/ = this is also a divide sign
10 + 4 ÷ 2 x (5 - 1 + 3 ) ( go left to right, as if reading inside parenthesis )
10 + 4 ÷ 2 x (7) now to multiplication and division going left to right again)
10 + 2 x7
10 + 14
24
please help i need help
Answer:
(9×3÷4)+y
Step-by-step explanation:
(9×3÷4)+y = y+9 × 3/4
3/4 = 3:4
9× 3/4 = 9×3÷4
there is y+ (9× 3 ÷ 4)
Evaluate 6(b - 3) + c; for b = 5 and c = 8
Answer:
20
Step-by-step explanation:
given:
b=5
c=8
6(b-3)+ c
6(5-3)+8
6(2)+8
12+8
20
other method
6(b-3)+c
6b-18+8
30-18+8
12+8
20
Answer:
20
Step-by-step explanation:
b is 5 and c is 8
so we can substitute them on the given equation
This is not a multiple choice, I need your help!
Answer:
Trapezoid, E, is the correct answer.
Barbara charges $3.50, plus $2.25 for each hour she babysits. If Barbara charges $21.50, how many hours does she babysit?
Answer:
8 hours
Step-by-step explanation:
The equation is 2.25X + 3.50 = 21.50
X represents the unknown amount of hours she worked. 2.25 is the cost per hour. 3.50 is the fee she charges for every gig. That fee only happens once a gig so naturally it wasn't the number x was placed with.
2.25X + 3.50 = 21.50
2.25X + 3.50 - 3.50 = 21.50 - 3.50
2.25X = 18
2.25X = 18
2.25 2.25
X = 8
Beginning with the equation x= -90, write the new equation produced by dividing both sides by 10
Answer:
x/10 = -9
Step-by-step explanation:
You are given the equation: x = -90
You are asked to divide 10 from both sides. Simplify:
(x)/10 = (-90)/10
x/10 = -90/10
x/10 = -9
x/10 = -9 is your answer.
~
Which of the following is a statistical question?
What color is the principal's car?
What is the most common color car in the school parking lot?
Does Jalen own a cell phone?
What is your favorite color?
HELP
Answer:
so the question is going to be .B
Step-by-step explanation:
A 25% discount on a skateboard is 24.75 what is the cost before discount
Answer: 13.00
Step-by-step explanation:
In 2008, there were 1570 bears in a wildlife refuge. In 2010, the population had
increased to approximately 1884 bears. If this trend continues and the bear population is
increasing exponentially, find the number of bears in 2015?
Answer:
it would be about 4500 bears
Step-by-step explanation:
Take different values for x and find the value of 3x+5.
Answer:
when x=1
3x+5.=3×1+5=8
when x=0
3x+5.=3×0+5=5
Step-by-step explanation:
when x=-1
3x+5.=3×-1+5=-3+5=2
Step-by-step explanation:
solution
here,
let the value of x be 1, then
3x+5
=3*1+5
=8
let the value of x be 2, then
3x+5
=3*2+5
=6+5
= 11
Box A contains 3 red and 2 blue marbles while Box B contains 2 red and 8 blue marbles. A fair coin is tossed. If the coin turns up heads, a marble is chosen from Box A; if it turns up tails, a marble is chosen from Box B.
A. Find the probability that a red marble is chosen.
B. Referring to above information, suppose that the person who tosses the coin does not reveal whether it has turned up heads or tails (so that the box from which a marble was chosen is not revealed) but does reveal that a red marble was chosen. What is the probability that Box A was chosen (i.e., the coin turned up heads)?
Answer:
A. [tex]\frac{4}{10}[/tex]
B. [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Given - Box A contains 3 red and 2 blue marbles while Box B contains 2
red and 8 blue marbles. A fair coin is tossed. If the coin turns up
heads, a marble is chosen from Box A; if it turns up tails, a marble
is chosen from Box B.
To find - A. Find the probability that a red marble is chosen.
B. Referring to above information, suppose that the person who
tosses the coin does not reveal whether it has turned up
heads or tails (so that the box from which a marble was
chosen is not revealed) but does reveal that a red marble was
chosen. What is the probability that Box A was chosen (i.e.,
the coin turned up heads)?
Proof -
As given ,
Box A : 3 red marbles and 2 blue marbles.
Box B : 2 red marbles and 8 blue marbles.
a.)
As we have to find the probability that a red marble is chosen.
A red marble is chosen in two different ways - either it can be from Box A or Box be .
If Box A is chosen , then Probability of red ball is [tex]\frac{3}{5}[/tex]
If Box B is chosen , Then Probability of Red ball is [tex]\frac{2}{10} = \frac{1}{5}[/tex]
Now,
Probability of Box A is Chosen = [tex]\frac{1}{2}[/tex]
Probability of Box B is chosen = [tex]\frac{1}{2}[/tex]
∴ we get
Probability that a Red marble is chosen = [tex]\frac{1}{2}[/tex]×[tex]\frac{3}{5}[/tex] + [tex]\frac{1}{2}[/tex]×[tex]\frac{1}{5}[/tex] = [tex]\frac{3}{10} + \frac{1}{10} = \frac{4}{10}[/tex] = 0.4
b.)
Now,
Probability that Box A is chosen given that Red marble is chosen is
P(Box A | Red marble ) = [tex]\frac{(\frac{3}{5})(\frac{1}{2}) }{(\frac{3}{5})(\frac{1}{2}) + (\frac{1}{5})(\frac{1}{2})} = \frac{\frac{3}{10} }{\frac{3}{10} + \frac{1}{10} } = \frac{\frac{3}{10} }{\frac{4}{10}}[/tex] = [tex]\frac{3}{4}[/tex]
72 raise to the power 2
Answer:
(72)²=72×72=5,184
.................
amelia spent $5.25 for a drink and a sandwich or drink cost $1.35 did she have a turkey sandwhich for $4.22 a tuna sandwich for $3.92 or ham sandwich for $3.46 use the equation S +1.35=5.27 to justify your answer
Answer:
$3.46 or $3.92
Step-by-step explanation:
it has to be $3.46 because you have to remember that tax is included and it could cost more than what you are paying for the sandwich or drink. but the other possible answer is $3.92 if you're not paying any tax.
give brailist but help me fast
Answer:
76.7
Step-by-step explanation:
11.3(3) + 10.7(4) = __ + 42.8
Multiply values
33.9 + 42.8 = __ + 42.8
The missing value is 33.9!
42.8 + 33.9 = 76.7
Select a letter for the correct ans
A cone-shaped vase has a height of 15 centimeters and a diameter of 8 centimeters.
What is the volume of the vase? Round to the nearest tenth.
Answer just
Answer:
251.4cm² is the area of the cone-shaped vase.
Find the Principal when the Interest is $200, the Rate is 3%, and the time is 18 months.
Answer:
Step-by-step explanation:
help if a plane go down on by newyork and newjersey where do you bury the survivors
Answer:
You don't bury survivors because they survived
Step-by-step explanation:
PLEASE ANSWER QUICKLY!
Kendra knits hats. She starts with 3 3/4 yards of yarn. After knitting for 5 1/4 hours, there is 1 1/8 yards of yarn left. At what rate does the amount of yarn change?
Answer:
The amount of yarn changes at 0.5 yards per hour.
Step-by-step explanation:
Since Kendra knits hats, and she starts with 3 3/4 yards of yarn, but after knitting for 5 1/4 hours, there is 1 1/8 yards of yarn left, to determine at what rate does the amount of yarn change the following calculation must be performed:
3/4 = 0.75
1/4 = 0.25
1/8 = 0.125
3.75 - 1.125 = 2.625
2.625 / 5.25 = 0.5
Thus, the amount of yarn changes at 0.5 yards per hour.
Sarah has an $80 gift card to a store at the mall. She uses the gift card to buy a
shirt for $14, and also wants to buy some earrings for her and her friends. Each
pair of earrings cost $6. Which one of these inequalities represents the situation,
where e is the number of pairs of earrings Sarah can buy?
Answer:
80-14= 66
66
11x6= 66
So she can get 11 pairs of earrings
I think I’m doing this wrong but I hope this gives u an idea
Step-by-step explanation:
Answer:
She can buy 11 pairs
Step-by-step explanation:
$80-14=66
Each costs 6, so 66/6=11
Sarah can buy 11 pairs.
a) American households spent an average of about $70 in 2007 on Halloween merchandise such as costumes, decorations and candy. To see if this number had changed, researchers conducted a new survey in 2008 before industry numbers were reported. The survey included 2100 households and found that average Halloween spending was $47 per household. The sample mean is dollars, while the claimed population mean is dollars. b) The average GPA of students in 2001 at a private university was 3.38. To assess whether this has changed over time, a survey on a sample of 190 students from this university was taken in the Spring 2020 semester. The survey yielded an average GPA of 3.75. The sample mean is and the claimed population mean is
Answer:
a) The sample mean is 47 dollars, while the claimed population mean is 70 dollars.
b) The sample mean is 3.75, while the claimed population mean is 3.48.
Step-by-step explanation:
Question a)
American households spent an average of about $70 in 2007 on Halloween merchandise such as costumes, decorations and candy means that the claimed population mean is 70 dollars.
The survey included 2100 households and found that average Halloween spending was $47 per household means that the sample mean is 47 dollars.
The sample mean is 47 dollars, while the claimed population mean is 70 dollars.
Question b)
The average GPA of students in 2001 at a private university was 3.38 means that the claimed population mean is 3.38.
The survey yielded an average GPA of 3.75 means that the sample mean is 3.75.
The sample mean is 3.75, while the claimed population mean is 3.48.
3 (4x - 2) - 5x = 6 - 7 (-x -2)
Answer:
0=26
Step-by-step explanation:
Distribute
3(4−2)−5=6−7(−−2)
12−6−5=6-7(-x−2)
Combine like terms
12−6−5=6−7(−−2)
7−6=6−7(−−2)
Distribute
7−6=6−7(−−2)
7−6=6+7x+14
Answer
0=26
The solution to the equation 3 (4x - 2) - 5x = 6 - 7 (-x -2) does not exist
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
3 (4x - 2) - 5x = 6 - 7 (-x -2)
Open the brackets
So, we have
12x - 6 - 5x = 6 + 7x + 14
Evaluate the like terms
So, we have the following representation
7x - 6 = 7x + 20
Next, we have
7x - 7x = 20 + 6
So, we have
0 = 26
This is false
Hence, the solution is no solution
Read more about equation at
https://brainly.com/question/32583193
#SPJ6
tony hit a baseball into the air with an initial upward velocity of 48 feet per second. The height h in feet of the ball above the ground can be modeled by h=-16t^2+48t+2. find the time it takes the ball to reach 38 feet above the ground
Answer:
H=-6t^2+38t+1
Step-by-step explanation:
Solve for x. 7(x+4)+3(x+4)=5x-5
In ΔUVW, the measure of ∠W=90°, VW = 29 feet, and UV = 69 feet. Find the measure of ∠U to the nearest degree.
Answer:
25
Step-by-step explanation:
Answer:
the answer is 25
Step-by-step explanation:
find the value of u in paralellogram
Answer:
34
Step-by-step explanation:
2u=u+34
2u-u=34
u=34
Answer:
Step-by-step explanation:
2u = u + 34
u = 34
What is the percent change of 82 to 67
Answer:
-18.3
Step-by-step explanation:
Helppp me on this question please
Answer:
2.704
Step-by-step explanation:
when dividing by 10 with exponents, you place a decimal point starting from the ones, going left the amount of the exponent. hope that made sense!
Answer:
2.704
Step-by-step explanation:
equation:
2704 ÷ [tex]10^{3}[/tex]
steps:
⇒ 2704 ÷ (10 x 10 x 10)
⇒ 2704 ÷ 1000
⇒ 2.704
What is the middle term of the trinomial from (3x+5) (4x-3)
Answer:
11x
Step-by-step explanation:
To find it, you can simply expand the expression
(3x + 5)(4x - 3)
= 3x(4x - 3) + 5(4x - 3)
= 12x² - 9x + 20x - 15
= 12x² + 11x - 15
A pyramid has a square base. The ratio of the base edge to the height of the pyramid is 2:9. If the base edge is 8 units, what is the volume of the pyramid?
describe 3 fractions and explain your reasoning using full sentences?
Answer:
gbrggbtgrrbfrhrhhhhhthrghrjwhrhr
Step-by-step explanation:
g
g
g
g
gg
g
rwribfebrgvebisbvfdfjndfinfvijnijnvdiniwdiengueinrugbvhbigb
FOOOOOOOOOOOOOT YEEEEEEEEEEEEEET