Answer:
The sum of geometric series 6 - 4 + 8/3 - 16/9 + 32/17 is 4.0416
Step-by-step explanation:
We need to find the sum of geometric series 6 - 4 + 8/3 - 16/9 + 32/17
The formula used to find sum of geometric series is [tex]S_n=\frac{a(1-r^n)}{1-r}[/tex]
where a is 1st term, n is number of terms and r is common ratio
so, in the given geometric series 6 - 4 + 8/3 - 16/9 + 32/17 we have
First Term a=6
Common ratio r= -0.6
Number of terms n= 5
Putting values in formula to find sum of given geometric series
[tex]S_n=\frac{a(1-r^n)}{1-r}\\S_n=\frac{6(1-(-0.6)^5 )}{1-(-0.6)}\\S_n=\frac{6(1-(-0.07776))}{1+0.6}\\S_n=\frac{6(1+0.07776)}{1.6}\\S_n=\frac{6.46656}{1.6}\\S_n=4.0416[/tex]
So, the sum of geometric series 6 - 4 + 8/3 - 16/9 + 32/17 is 4.0416
Please help!!
What is the solution to 2x^2+x+2=0?
Answer:
your 3rd option
Step-by-step explanation:
[tex]\frac{-1+/-\sqrt{1-4(2)(2} )}{2(2)}[/tex]
[tex]{\frac{-1+/-\sqrt{1-16} }{4}}[/tex]
[tex]{\frac{-1+/-\sqrt{-15} }{4}}[/tex]
[tex]{\frac{-1+/-i\sqrt{15} }{4}}[/tex]
64 - (16/3)= 208/3
I need help understanding HOW the answer to this is 208/3. Please give an explanation ASAP!!
Answer:
64 - (-16/3) = 208/3
Step-by-step explanation:
I think the problem may be written incorrectly. For this to be correct, it must be 64- (-16/3) = 208/3.
To get 203/3 you have to find a common denominator because in order to subtract (or add) fractions, they must have the same denominator.
However, 64 does not have the same denominator as -16/3!!
We can write 64 as 64/1, and to give it the same denominator as -16/3, we need to multiply the denominator by 3
BUT we have to do the same thing to the numerator!!! We can't only change the denominator. If one changes, the other has to change too.
So lets multiply the numerator and denominator by 3. 64 x 3 = 192
1 x 3 = 3
Now we have 192/3
Subtracting a negative number is the same as adding. So instead we can write 192/3 + 16/3
Add 192 and 16 to get 208, so now you have 208/3
Two-thirds of a number plus 5 is greater than 12. find the numbers
Answer:
21
Step-by-step explanation:
Please make me brainliest and friend request me!
2. Write a function of the geometric sequence with a starting term of 10 and a common ratio of 4. Find the fourth term.
f(n) = 10 · 44-1, the fourth term is 640
f(n) = 2 . 10^-1, the fourth term is 1, 024
f(n) = 4.10^-1, the fourth term is 64 DI
f(n) = – 10. – 4n-1, the fourth is -128
Answer:last one pretty sure
Step-by-step explanation: sure
Help me please...
...
Answer:
The mistake is in the 1st to 2nd step
They did not distribute 4(7-13).
If they distributed properly, it would be 28-52 instead of 28-13.
Step-by-step explanation:
Write an equation of the line that passes through (0, 4) and (0, -3)
Answer: Slope is undefined. x=0
slope calculation: -3-4/0-0 = -7/0 and anything divided by 0 is undefined
the x value in the coordinates is 0 so it’s x=0 line.
vertical lines always have undefined slopes
Answer:
[tex]x=0[/tex]
Step-by-step explanation:
So first of all we need the slope of the line we are trying to findWe get the slope by using the following formula [tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex] So when you have two pairs of points, it will be [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] so our points are; (0,4) the first point, so [tex]x_1=0,y_1=4[/tex] and(0.-3) the second point, so [tex]x_2=0,y_2=-3[/tex] Put this in our equation [tex]slope=\frac{(-3)-(4)}{(0)-(0)}=\frac{-7}{0}[/tex] Oh no, that can't be right, any number divided by zero is undefined, meaning can't be answered. So this line has no slope So how do we know the equation? Remember, (a) if the line is horizontal, then the slope is 0,(b) if the line is vertical then the slope is undefinedSo our line is vertical, meaning it is an equation of xIf it were horizontal it would be an equation of ySo vertical, it is [tex]x=??[/tex] How do we know what x equals? Just look at our points (0,4) and (0,-3)For both of them [tex]x=0[/tex] and this is our equation!2/3(6c+4)-(8c-5)
No spaces in your answer.
Do not change improper fractions to mixed numbers, type them as improper fractions in simplest form.
Answer:
Your answer is: [tex]-4c+23/3[/tex]
Simplify the expression.
Step-by-step explanation:
Hope this helped : )
How do you do this
I don’t get it
Answer:
x= 65 z= 38 y= 77
Step-by-step explanation:
x=65° (opposite angles are equal)
z= 180°-[71+71 (bc the other side is also equal to 71)]
z= 180°-142°=38°
y= 180 - [sum of angle x (65°) and angle z (38°)]
y= 180 - 103= 77°
to make sure ur answer is correct the sum of angle x, y and z MUST = 180
lets check:
65° + 38° + 77° = 180°
:)
Which graph shows a function and its inverse?
A graph depicts the inverse function with the help of a vertical line test. The lines passes through the origin and have a slope. The line y = x is a reflection of the original path.
Example: f(x) = 2x + 5 = y. Then, g(y) = (y-5)/2 = x is the inverse of f(x). Reflecting over the y and x gives us the function of the inverse.Hence the option A is correct.
Learn more about the graph showing a function and its inverse.
brainly.com/question/19227104.
What’s the value of y ?
If ABC is congruent to DBE find x
Answer:
x=44 degrees
Step-by-step explanation:
5y-4 has to equal 81 in order for the two triangles to be congruent.
The sum of the interior angles of a triangle is always 180 degrees.
81+51=132 degrees
180-132=48
x+4=48
x=48-4
x=44 degrees
Steven wants to buy a $500 bicycle. Steven has no money saved, but will be able to deposit $45 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $85 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike? A.15 weeks B.11 weeks C.17 weeks D.13 weeks
Answer:
d! (hope this helps <33) also pls answer my question up !!
Step-by-step explanation:
2.25 divided by 32.50
Answer:
0.6923076923 or 0.692
I am having trouble figuring out this question, repost again...
A mountain climber ascends a mountain to its peak. The peak is 12,740 ft bone sea level. The climber then descends 200 ft to meet a fellow climber. Find the climber’s elevation above sea level after meeting the other climber.
Thank you I appreciate it
Five is the quotient of 120 divided by some number. What is the number? 20 24 115 125
Your answer is 24! If you work backwards and divide 120 by 5, you get 24. To check your work, multiply 24 by 5 to get 120. Hope this helps! Please mark brainliest and have an amazing rest of your day. Stay safe! xx
The number 24 divides 120 gives the Quotient 5.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Quotient = 5
Dividend = 120
Divisor = x
So, Dividend = Divisor . Quotient
120 = x(5)
5x = 120
x= 120/5
x= 24.
Thus, the required number is 24.
Learn more about Algebra here:
https://brainly.com/question/24875240
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what is the midpoint of (10,5) and (-4,-7)
Answer:
(3, -1)
Step-by-step explanation:
10-4 = 6 -> 6/2=3
5-7 = -2 -> -2/2= -1
Answer: The mid point is (3,-1)
Step-by-step explanation:
Mai thinks of a secret number. She says that her secret number is more than 11 units away from 50. Write an absolute- value inequality that gives the possible values of Mai's number.
Given:
Secret number is more than 11 units away from 50.
To find:
The absolute- value inequality that gives the possible values of Mai's number.
Solution:
Let the secret number be x.
Secret number is more than 11 units away from 50. It may be less than 50 or more than 50.
Case 1: If x<50, then [tex]50-x>11[/tex]
Case 2: If x>50, then [tex]x-50>11[/tex]
It means the absolute difference between secret number and 50 is greater than 11.
[tex]|x-50|>11[/tex]
Therefore, the required inequality is [tex]|x-50|>11[/tex].
Determine which slope is the steepest. Explain why it is the steepest.
A)Slope=5/3
B)Slope=-3/2
C)Slope=0
Answer:
A is the steepest because
A = 1.66666666667
B=-1.5
C= just 0
Step-by-step explanation:
solve: 12/35 − 5/21 ASAP im not smart
Answer: 11/105
Step-by-step explanation:
which expression are equal to 10^5
Answer: 10* 10* 10* 10* 10
Step-by-step explanation:
10* 10* 10* 10* 10 = 100,000
Find the coordinates of the image after a reflection across the line y = x.
Answer:
(2 1) for L (4 3) for G (4 -1)
Step-by-step explanation:
what coefficient would you get for the x terms on the right side of 3x+15=2x+10+x+5
Answer:
x=0
Step-by-step explanation:
Answer:
Any real number.
Step-by-step explanation:
3x + 15 = 2x + 10 + x + 5
First, add like terms.
3x + 15 = 3x + 15
Subtract 15 on both sides.
3x = 3x
Divide 3 on both sides.
x = x
Since x equals x, you can give any value (any real number) to x.
Since 3x = 3x, you can say x = 1, meaning 3 = 3.
Or, you can say x = 8. 3x = 3x will be 24 = 24.
x can be any number.
A compound event may consist of dependent or independent events.
O A. True
O B. False
Ralph ran 15 miles in 5 days. If he continues to run at this rate, how far would he be expected to run in 8 days?
is this a slope of 8/4
Answer:
Yes
Step-by-step explanation:
What is 20% of $5?
do math
Answer: 1
Step-by-step explanation:
The following box plot shows the number of years during which 40 schools have participated in an interschool swimming meet:
see attached image below ♥
At least how many schools have participated for more than 1 year and less than 6 years?
4 schools
8 schools
10 schools
20 schools
Answer:
I possibly think it is either 8 or 10 but I am sorry if I am wrong.
What is the value of x in the equation below?
6 (x minus 8) = 72
Which correction should Liliana make?
Please Answer
An ant brain has approximately 300,000 brain cells. If an army ant colony consists of 75,000 members, how many brain cells do they share all together?
Answer:
22500000000
Step-by-step explanation:
75,000 times 300,000 equals 22500000000
Solve for u. -24 = u ÷ 6
U=
Answer: Um, the answer is U= –144.
Step-by-step explanation: