What is ∑n=15[5(−2)n−1] equal to?
Answer:
Although the notation is sloppy, I will assume based on former questions of the same that "∑n=15[5(−2)^n−1]" translates mathematically to . Please correct me, though, if this in incorrect.
Anyway, there is neat formula that will deal with question very quickly. It is the following:
Sn is the sum of the geometric series
a1 is the first term in the series
r is the common ratio
n is the number of terms in the finite geometric series
Let's use this formula to our advantage! However, there are two variables that we do not know: a1 and n. Let's start with a1.The first term in the series is when n=1, so let's determine what that is.
The expression ∑n = 15 [5 (−2) n − 1] is equal to 5/16384.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example: so
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
First, let's understand the notation.
∑n = 15 represents the sum of the expression that follows for n starting from 15, and the expression is 5 (−2) n − 1.
So, we need to find the sum of 5 (−2) n − 1 from n = 15 to n = 15, which means there is only one term in the sum.
Substituting n = 15, we get:
5 (−2) (15 − 1) = 5 (−2) 14 = 5/16384
Therefore,
The expression ∑n = 15 [5 (−2) n − 1] is equal to 5/16384.
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You want to draw a red then a blue marble. do you have a better chance of drawing a red then blue marble with or without replacing the first marble? explain your answer
Answer: Without replacing
Step-by-step explanation:
If you don't replace the first red marble, it decreases the number of red marbles in the mix, making the proportion of blue marbles relatively larger. For example, if there were 5 red and 5 blue marbles, there would be a 50% chance of drawing a blue marble. If the red drawn is not replaced, there is a 5/9 chance of drawing a blue marble, or a 55% chance of drawing one.
You start at (3, -2). You move up 5 units. Where do you end?
Answer:
You would end at (3, 3).
Explanation:
You would plot your first mark at 3 on a typical xy graph because the first number in ()'s is always x (horizontal line).
Second, because your second mark is y (vertical line), you would plot -2 on the vertical axis.
Your y plot would be 5 more than -2 because you're traveling up five units, giving you (3, 3).
565.948063818 to 1 decimal place.
Answer:
565.9.
Step-by-step explanation:
The second decimal place is 4 so the first one stays at 9.
Is the vertex of the graph a maximum or a minimum?
Answer:
maximum
Step-by-step explanation:
the vertex will give the maximum value for y, which is 3
Triangle r q s is cut by line segment t v. line segment t v goes from side q r to side r s. the length of r v is x 10, the length of v s is x, the length of r t is x 4, and the length of t q is x minus 3. which value of x would make line segment t v is parallel to line segment q s? 3 8 10 11
The value of x that would make line segment T V is parallel to line segment Q S is where x = 10. (Option C)
What is a line segment?In Mathematics, a Line Segment is a part of a line that has two endpoints.
The difference between a line segment and a line is that while the former has a starting and an endpoint, the latter does not. See the attached image.
What is the Step by Step solution to the above problem?Step 1
Note that if QS is Parallel to TV, then both sides of the triangle must be proportionally divided by TV.
That is: RV/VS = RT/TQ.
Step 2 - replace the segments by the relevant equations
(X + 4)/(X- 3) = (X+10)/(X)
Step 3 - Cross Multiply
x(x +4) = (x -3)(x +10)
Removing the parentheses, we have
X² +4X = X² +7X -30; Subtract X² from both sides and we have;
4X = 7X - 30
Step 3 - Collect like terms by cross multiplying-3X = -30 or
3X = 30
Divide both sides by three and we have:
X = 10
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Answer:
10 is the answer
he tables represent the functions f(x) and g(x). A table showing g(x) equals 2 x plus 15 with 2 columns and 7 rows. The first column, x, has the entries, negative 15, negative 12, negative 9, negative 6, negative 3, 0. The second column, g(x), has the entries, negative 15, blank, blank, blank, blank, 15. Which input value produces the same output value for the two functions? x = –12 x = –9 x = –6 x = –3
Answer:
Answer:
C
Step-by-step explanation:
Answer:
x=-6
Step-by-step explanation:
i got a hundred on the test
Choose all the equations that are equivalent
to -3(x - 2) = 4x − 2(x - 1).
-
Enter the corresponding letters, in alphabetical
order, separated by commas (without spaces).
A. -5x = -4
B. -5x = 4
C. -5x = 8
D. 2x - 4 =-3x
E. -3x + 6 = 2x + 2
F. -3x - 6 = 2x - 2
Answer:
a,e
Step-by-step explanation:
Answer:
A, E
Step-by-step explanation:
lets first solve the equation using distributive property:
-3(x-2)=4x-2(x-1)
-3x+6=4x-2x+2
-3x+6=2x+2 (E)
Now move the like terms on one side:
-3x-2x=2-6
-5x=-4 (A)
find two numbers who's difference is 10 and 1/6 of whose sum is 11
Answer:
38 and 28
Step-by-step explanation:
let the 2 numbers be a and b
(a - b)= 10.................................................1
1/6(a + b) = 11
hence (a + b) = 66...................................2
adding 1 and 2
a -b + a + b = 10 + 66
2a=76
a = 38
b=28
HALPPPP its a drop-down
Answer:
Wider than4 units downThe sum of two numbers is 36. One number is 2 times as large as the other. What are the numbers?
Larger number:
Smaller number:
Let the first number be "x", and the 2nd number (which is twice as large as the other), be 2x.
Set the equation
2x + x = 36
Simplify. Combine like terms
(2x + x) = 36
3x = 36
Isolate the x. Divide 3 from both sides
(3x)/3 = (36)/3
x = 36/3
x = 12
The first number is 12
The second number is 2x. Replace x with 12. Multiply.
2x = 2(12) = 24
The second number is 24
Check: 12 + 24 = 36 (True)
Answer: 12 & 24
If the radius of a clock is 5 inches, what is the distance around the edge of the clock between the two and the five to the nearest hundredth of an inch
plssss help
thank you
Answer:
7.85 inches
Step-by-step explanation:
It mentions distance around the edge of the clock, which is basically another term used for arc length.
Arc Length Formula :
Arc Length = 2πr × θ/360°
Values given :
Radius (r) = 5 inches
Turning angle (θ) = 3/12 × 2π = 1/4 x 2π = π/2 = 90°
Solving :
Arc Length = 2 x 3.14 x 5 x 90/360
Arc Length = 15.7 x 0.5
Arc Length = 7.85 inches
(2y + 5) (5y + 7)
Simplify your answer.
Answer:
10y^2 + 39y + 35
Step-by-step explanation:
Simplify using FOIL
25(-7)= ?
what type of equation is this?? division, multiplication, addition, or subtraction??
Answer:
multiplication
Step-by-step explanation:
the () means to multipy
Find the surface of the cone in terms of pi.
144pi cm2
108pi cm2
90pi cm2
180pi cm2
please
Check the picture below.
if the diameter of its base is 12, then its radius must be half that, or 6.
[tex]\textit{surface area of a cone}\\\\ SA=\pi r\stackrel{\stackrel{slant~height}{sh}}{\sqrt{r^2+h^2}} + \pi r^2~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ sh=18 \end{cases}\implies SA=\pi (6)(\stackrel{sh}{18})+\pi (6)^2 \\\\\\ SA=108\pi +36\pi \implies SA=144\pi[/tex]
Can someone help me with this
arrange the following in order 9,09 909,09 0,099 0,909 0,0099 9,0099 9,909
Answer:
0.0099, 0.099,0.909, 9.0099, 9.09, 9.909, 909,09
Step-by-step explanation:
Here they are from least to greatest. Hope this helps. :)
I need help solving this
Answer:
50° and 40°
Step-by-step explanation:
complementary angles sum to 90°
80% = [tex]\frac{80}{100}[/tex] = 0.8
let the 2 angles be x and 0.8x , then
x + 0.8x = 90
1.8x = 90 ( divide both sides by 1.8 )
x = 50
0.8x = 0.8 × 50 = 40
the 2 angles are 50° and 40°
Which lists contain only rational numbers? Select all that apply.
104
54, 163,
63, 191, 142
F
81, 49
49,11,19
25
V4, V16, 36
36, V64, V100
64,19,781, 14, 121
48
28 , /31, 10, 12
I need help! Find the measure of the indicated angle to the nearest degree.
Answer:
30
Step-by-step explanation:
let unknown angle = x
cos = adjacent / hypotenuse
adjacent of ? = 13
hypotenuse = 15
cos(x) = (13/15)
==> take inverse cos of both sides
x = 30 (rounded)
Note : hypotenuse = longest side and adjacent = side thats not the hypotenuse or opposite
please help i dont get it... (average rate of change)
10.
The graph shows the price, in dollars, of a new digital toy for different levels of supply.
(image provided)
What is the average rate of change?
Answer:
-3
Step-by-step explanation:
Formula for average rate of change :
A(x) = f(a) - f(b) / a - bSolving :
A(x) = 115 - 85 / 5 - 15A(x) = 30/-10A(x) = -3i don't know exactly what to do
Answer:
Step-by-step explanation: Just relax effortlessly. Communion Kant be for All unless we are primed for purpose...
Find the area of the green triangle
Answer:
if im correct the answer is 48 ft2
Step-by-step explanation:
Answer:
[tex]16ft \: ^{2} [/tex]
Step-by-step explanation:
To find the area of the given triangle we'll use the formula:-
[tex]\boxed{\sf A = \cfrac{1}{2} \times b \times h}[/tex]
Where,
Base(B):- 8 ftHight (H):- 4ft[tex]\sf A = \cfrac{1}{2} \times 8 \times 4[/tex]
First, let's multiply 1/2 * 8 = 8/2.
[tex]\sf \cfrac{8}{2} \times 4[/tex]Divide 8 by 2= 4
[tex]\sf 4 \times 4[/tex][tex]\sf 16[/tex]Thus, the area of the triangle is 16ft^2.
The element silicon has a molar mass of 28.09 g/mol. Calculate the mass of 0.15 mol of Silicon.
The answer is 28.09 g. I hope this helped.
Answer:
The answer is 4.2 g
A box has a width of 5 centimeters and a height of 6 centimeters. If the volume is 150 cubic centimeters, what is the length of the box?
A) 5 centimeters
B) 4 centimeters
C) 7 centimeters
D) 3 centimeters
Answer: A. 5
Step-by-step explanation:
Answer:
A) 5 cm.
Step-by-step explanation:
Volume = length * width * height
150 = length * 5 * 6
Length = 150 / (5*6)
= 150/30
= 5.
FIND B ONLY
WILL GET BRAINLIEST
Answer:
the answer is RATIONAL
Step-by-step explanation:
why u ask
becasue the number is less than 1
please mark brainiest
Select the correct answer. what is the y-intercept of f(x) = 3x 2? a. (9,0) b. (0,9) c. (0,-9) d. (9,-9)
The y-intercept of a line is the point where the line cuts the y-axis or the point where x = 0. The y-intercept of the line with the function y = 3x + 2 is (0, 2)
Intercept of a lineThe y-intercept of a line is the point where the line cuts the y-axis or the point where x = 0.
Given the equation of a line f(x) = 3x +2
If x = 0, them;
f(0) = 3(0) + 2
f(0) = 2
Hence the y-intercept of the line with the function y = 3x + 2 is (0, 2)
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Answer:
answer is (0, 9)
Step-by-step explanation:
did the test. plato.
ur welcome buddy
which object is 3 1/2 inches loong
Answer:
ur mom
Step-by-step explanation:
expirence and funnes
Answer:
yello
Step-by-step explanation:
the yellow one
What is 6 3/4 % of $7,600.00
A. 513
B. 520
C. 456
D. 479.25
E. 550
Answer:
A 513
Step-by-step explanation: is your answer
Hope this helps :)
Let's find 3/4+1/10
First write the addition with a common denominator.
Then add. 3/4+1/10=?/?+?/?=?/?
Answer:
[tex]\frac{34}{40}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}+\frac{1}{10}[/tex]=[tex]\frac{30}{40}+\frac{4}{40}[/tex]=[tex]\frac{34}{40}[/tex]