Answers
Answer:
-1310715
Step-by-step explanation:
By the formula of a geometric sequence, we work out:
[tex]\sum_{k=1}^{18} -5 \cdot 2^{k-1}\\= -5 \cdot \sum_{k=0}^{17} 2^{k}\\= -5 \cdot \frac{2^{18}-1}{2-1}\\= -1310715[/tex]
Related Questions
PLSS HELPPP ILL GIVE BRAINLESS PLSS
Answers
Answer:
x=1 y=4
1:4
Step-by-step explanation:
Answer:
I think it's y=4x
Step-by-step explanation:
3 x 4=12
9 x 4=36
12 x 4=38
Hope that's helpful
x^2+y^2+10x+12y+25=0x
2
+y
2
+10x+12y+25=0
Answers
Answer:
220^x=y will be the answer :)
At a football game, 35% were supporting the visiting team. If 2119 people attending
supported the home team, what was the total number of people attending the game?
Answers
Answer:
3260
Step-by-step explanation:
yeah ok
If x is to 8 as 15 is to 12, then x equals...
Answers
Answer:
12/8 = 6/4 = 3/2; 2/3 * 15 = 10
Step-by-step explanation:
The partial fraction decomposition of 9 x 11 6 x 2 23 x 21 can be written in the form of f ( x ) 2 x 3 g ( x ) 3 x 7 , where
Answers
Answer:
[tex]f(x) = -1[/tex]
[tex]g(x) =6[/tex]
[tex]\frac{-1}{2x + 3} + \frac{6}{3x + 7}[/tex]
Step-by-step explanation:
The question is unreadable, however the real polynomial is:
The polynomial fraction is:
[tex]P = \frac{9x + 11}{6x^2 + 23x + 21}[/tex]
And the decomposition is:
[tex]\frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}[/tex]
The solution is as follows:
[tex]P = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}[/tex]
Substitute the expression for P
[tex]\frac{9x + 11}{6x^2 + 23x + 21} = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}[/tex]
Expand the numerator of the polynomial
[tex]\frac{9x + 11}{(2x + 3)(3x + 7)} = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}[/tex]
Take LCM
[tex]\frac{9x + 11}{(2x + 3)(3x + 7)} = \frac{f(x)*(3x + 7) + g(x)*(2x + 3)}{(2x + 3)(x + 7)}[/tex]
Cancel out both denominators
[tex]9x + 11} = f(x)*(3x + 7) + g(x)*(2x + 3)[/tex]
Represent f(x) as A and g(x) as B
[tex]9x + 11} = A*(3x + 7) + B*(2x + 3)[/tex]
Open bracket
[tex]9x + 11} = 3Ax + 7A + 2Bx + 3B[/tex]
[tex]9x + 11} = 3Ax + 2Bx+ 7A + 3B[/tex]
[tex]9x + 11} = (3A + 2B)x+ 7A + 3B[/tex]
By comparison:
[tex]3A + 2B = 9[/tex] ---- (1)
[tex]7A + 3B =11[/tex] ---- (2)
Make B the subject in (1)
[tex]B = \frac{9 - 3A}{2}[/tex]
Substitute [tex]B = \frac{9 - 3A}{2}[/tex] in (2)
[tex]7A + 3(\frac{9 - 3A}{2}) = 11[/tex]
Multiply through by 2
[tex]2*7A +2* 3(\frac{9 - 3A}{2}) = 11*2[/tex]
[tex]14A + 3(9 - 3A) = 22[/tex]
[tex]14A + 27 - 9A = 22[/tex]
Collect Like Terms
[tex]14A - 9A = 22-27[/tex]
[tex]5A = -5[/tex]
[tex]A = \frac{-5}{5}[/tex]
[tex]A = -1[/tex]
Recall that:
[tex]B = \frac{9 - 3A}{2}[/tex]
[tex]B = \frac{9 - 3 * -1}{2}[/tex]
[tex]B = \frac{9 + 3}{2}[/tex]
[tex]B = \frac{12}{2}[/tex]
[tex]B = 6[/tex]
A = -1 and B = 6
[tex]3A + 2B = 9[/tex] ---- (1)
[tex]7A + 3B =11[/tex] ---- (2)
So:
[tex]f(x) = A[/tex]
[tex]f(x) = -1[/tex]
[tex]g(x) =B[/tex]
[tex]g(x) =6[/tex]
And the decomposition is:
[tex]\frac{-1}{2x + 3} + \frac{6}{3x + 7}[/tex]
A ________________is one of one hundred equal parts of a whole.
Answers
Answer:
hundredth
Step-by-step explanation:
Ten equal parts of a whole is called TENTH.
Hundred equal parts of a whole is called HUNDREDTH.
Thousand equal parts of a whole is called THOUSANDTH.
Hence, a hundredth is one of one hundred equal parts of a whole.
Geometry need help........
Answers
Given :
In triangle AOR and triangle KTE :
Segment AO = Segment KT Segment OR = Segment TE ∠AOR = ∠KTESince two sides and one included angle of these two triangles are equal, we can conclude that these triangles are congruent under the SAS congruence criterion.
There are 2 red marble, 4 green marbles and 4 blue marbles. What is the probability or randomly selecting a green not replacing it, then selecting a blue ??
Answers
Answer: 4/15
Step-by-step explanation:
Help would be much appreciated
Answers
X = 125
Which of the following points would fall on the line produced by this point-slope form equation y − 2 = 3 ( x − 5 ) when graphed?
Answers
Answer:csss
Step-by-step explanation:
Answer:
use the app photomath
Step-by-step explanation:
PLEASE HELP! Here’s a graph of a linear function. Write the equation that describes that function.
Express it in slope-intercept form.
Answers
the line goes up 1 right 2
so the answer is y=1/2x-5
please help me ill give brainliest
Answers
Answer:
D
Step-by-step explanation:
If 7x +2 = 7(x+2)
How many solutions does this equation
have?
-sixteen
-one
-infinite
-three
-five
-none
Answers
Answer:
S.tep-by-step explanation:
Which expression is equivalent to – 12 + (-4/5) + 31 and includes the correct justification for the equivalence?
Answers
Answer:
b
Step-by-step explanation:
Write the equation that goes through (1, 2) and parallel to y=1/5x - 6
Answers
Answer:
p
Step-by-step explanation:
Answer:
jsjsnnjs jsksi j sjsjsdjsis jsji
A bottle holds 24 ounces of water. It has x ounces of water in it. a. What does 24 - x represent i this situation?
Answers
Pouring out the water. Yuuuhh
Answer:
The expression 24-x represents the amount of water there's left after someone drinks out of the bottle.
Aretha is rappelling down the side of a cliff. The graph shows her height above the ground in feet as a function of time in seconds as she descends. What is Aretha’s height above ground when she begins rappelling down? At!what rate does she descend?
Answers
Answer:
I believe in you and believe you can do it, keep up the great work :)
Step-by-step explanation:
Chicken wing
Chicken wing
Hot dog and baloney
Chicken and macaroni
Chillin with my homies
for every 16 basketball players in crystal county schools there are 48 soccer players. if the ratio remains constant and there are 64 basketball players how many soccer players are there
Answers
Answer:
16:48
64:192
Step-by-step explanation:
16:48
64:x
64/16=4
48 x 4=192
sofio room is 14 feet long how many inches are in 14 feet
Answers
Answer:
168 inches
Step-by-step explanation:
14 × 12 = 168
INCOME
Which best describes a budget?
a chart showing a person's expenses for the month
the amount of money a person earns from their job
the amount of money someone spends on items they enjoy buying
a tool for planning the spending and saving of income
Answers
Answer:
A tool for planning the spending and saving of income.
Step-by-step explanation:
A budget gets set to someone that has to spend within that amount. Example: If my budget is 20 dollars, I can only spend 20 dollars or less.
hey i need help please!
Answers
Answer:
80 percent is the answer i got
To investigate whether or not sending text messages while driving impacts driving ability, we had 100 participants (50 men and 50 women) drive an obstacle course under one of the following conditions: 1) no texting while driving, 2) sending five text messages while driving, or 3) sending 10 text messages while driving. We measured the accuracy with which the subjects drove the obstacle course from a scale of 1 to 10 (1 = poor and 10 = excellent).We are testing the effect of sending text messages at three different _____.
a. treatments
b. levels
c. factors
d. None of the above
Answers
Answer:
A - treatments
Step-by-step explanation:
We are told the 100 participants were required to drive under 1 of the 3 conditions below which are;
- no texting while driving.
- sending five text messages while driving
- sending 10 text messages while driving
In experimental a research, these 3 conditions are referred to as treatments because they are used to derive an experimental result.
1.
Identify the vertex, complete the table, and graph g(x) = (x - 4)2 – 5.
y
g(x)
X
Vertex:
Answers
Answer:
g(x) = (x - 4)^2 - 5, and the vertex is (4, -5)
Step-by-step explanation:
Please, use " ^ " to indicate exponentiation: g(x) = (x - 4)^2 – 5. Comparing this to y = a(x - h)^2 + k, we see that h must be 4 and k must be -5. Thus, the vertex is (4, -5).
Make a table showing several x-values and the corresponding y-values:
x g(x) = (x - 4)^2 - 5 (x, y)
0 (-4)^2 - 5 = 11 (0, 11)
4 (4 - 4)^2 - 5 = -5 (4, -5)
12 children in art class have to share 8 packages of clay so that everyone gets the same amount. How much clay can each child have?
Answers
Answer:8 y sobran 4
Step-by-step explanation:
8entre 4
Answer:
1.5
Step-by-step explanation:
Math: Ammon and Nakia volunteer at an animal shelter. Nakia worked 3
more hours than Ammon. They each worked a whole number of hours.
Together they worked more than 27 hours. What is the least number of
hours each worked?
Answers
Ammon= x
Total= 27
x + x + 3 = 27
2x+ 3 = 27
2x = 24
x = 12
Nakia can work 15hours and Ammon can work 12 hours
Write an exponential function represented by the table
X | 0 | 1 | 2 | 3 |
Y | -50 | -10 | -2 | -0.4 |
Answers
Answer:
50-10-2-4=34 RESPONS Y
Answer:
y = -50(1/5)^xStep-by-step explanation:
Exponential function:
y = ab^xAs per the table we have:
The initial value is -50 at x= 0Common ratio is 1/5Considering the above, a = -50, b = 1/5
The function is:
y = -50(1/5)^xIf x>7, what is one number that x could be?
Answers
Answer:
8, 9, 10, 11, 12 etc.
Step-by-step explanation:
What is the least common denominator of 3/4, 1/3, and 7/12?
Answers
Answer:
12
3/4 = 9/12
1/3 = 4/12
7/12 = 7/12
If this helped mark me brainliest please!! Have a good day
Which value is a solution of the inequality 9 >_ 1/2x
18
20
24
36
Answers
(3 + 2) (5-v2)
Expand and simplify
Answers
Answer:
25−5v2
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