What is the value of r of the geometric series?
Sigma-Summation Underscript n = 1 Overscript 3 EndScripts 1.3 (0.8) Superscript n minus 1
Answer:
A) 0.8
Step-by-step explanation:
0.8 on edge.
The value of r of the geometric series is 4/5.
What is geometric series?
The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.
The nth term of a geometric progression is expressed as
Tₙ = arⁿ⁻¹
Where a is the first term, r is the common ratio
Given the formula for the geometric series expressed as
[tex]_3\\\sum{1.3(0.8)^n^-^1}\\n=1[/tex]
Comparing both equations
rⁿ⁻¹ = (0.8)ⁿ⁻¹
r = 0.8
r = 8/10
r = 4/5
Hence, the common ratio is 4/5.
Learn more about geometric series here:
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what is the solution of this proportion 4/9 = 6/d
Answer:
d = 2/27
Remember that when a variable is times with a number you divide the number on both sides.
When a variable is divided by a number, you multiply the number on both sides.
Hope this helps you and thank you !!
PLEASE ANSWER THIS!!!
Answer:
the answer would be 85% bsjdjdmzmcnd
Answer:
75%
Step-by-step explanation:
Total Questions= 12
Answered Correctly= 9
%=9/12 x 100
%= 0.75 x 100
%= 75%
PLEASE MARK ME AS BRAINLIEST!!!!
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y
3+
2-
2
4 -3 -2
-1
1
2
-2
-3
What is the slope of the line?
Answer:
[tex]\displaystyle m=\frac{1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a Cartesian PlaneCoordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (5, 0)
Point (-4, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{-3-0}{-4-5}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-3}{-9}[/tex][Fraction] Simplify: [tex]\displaystyle m=\frac{1}{3}[/tex]Which property is used in the first step to solve this equation
4(x-6)=5
4x-24 = 5
4x= 29
x=29/4
Answer:
Distributive property
Step-by-step explanation:
4. Find the value of x. 140° 150° 130° to Da) 110 b) 90 O c) 130 O d) 120
Answer:
D
Step-by-step explanation:
The sum of angles of an hexagon is [tex]4\cdot 180[/tex]°.
A Monument in the shape of a right triangle sits on a rectangular pedestal that is 5 meters high and 11 meters long. The longest side of the Triangular monument measures 61 meters.
How high off the ground is the top of the monument?
Please help
Answer:
65 meters
Step-by-step explanation:
The height of the monument off the ground = x + 5
Find x using Pythagorean Theorem:
x = √(61² - 11²)
x = √3,600
x = 60 meters
Height of the monument off the ground = x + 5 = 60 + 5 = 65 meters
Answer: 65
Word Problem: A Monument in the shape of a right triangle sits on a rectangular pedestal that is 5 meters high and 11 meters long. The longest side of the Triangular monument measures 61 meters.
Question: How high off the ground is the top of the monument?
There
are five marbles in
a bag. Three are green and
two are yellow. You draw a
marble, replace it, and then
Draw another. What is the
probability of choosing two
yellow marbles?
Answer:
like 20 percent
Estimate the sum to the nearest ten. 772 + 146 =
?
Answer:
920
Step-by-step explanation:
added up the original answer would be 918 but you have to round up to 920
Answer:
918.0
Step-by-step explanation:
5. What is the second step in proving by mathematical induction that for every positive integer n, 11" - 6 is divisible by
5, is true?
Let n = k. Then assume that 11" - 6 is divisible by 5.
Let n = 1. Then assume that 111 - 6 is divisible by 5.
Let n = k. Then assume that 11k+1 – 6 is divisible by 5.
O Let n = (k + 1). Then assume that 11k - 6 is divisible by 5.
NEED THIS ASAP
NEED A EXAM DONE WILL PAY
Answer:
The correct answer is A:Let n = k. Then assume that 11" - 6 is divisible by 5. sorry if im wrong but if correct pls mark brainliest
Answer:
Step-by-step explanation:
Premise: If n is a positive integer, then 11ⁿ-6 is divisible by 5.
Let n=1.
11¹-6 = 5, so the premise is true for n=1.
Suppose the premise is true when n is an integer greater than 1,
then 11ⁿ-6 is divisible by 5.
11ⁿ⁺¹-6 = 11·11ⁿ - 6
= (10+1)11ⁿ - 6
= (10·11ⁿ) + (1·11ⁿ) - 6
= (10·11ⁿ) + (11ⁿ - 6)
Both terms are divisible by 5, so 11ⁿ⁺¹-6 is divisible by 5. Therefore, the premise holds true for n+1.
Proof by induction.
Ten people in a room have an average height of 66 inches. An 11th person, who is 77
inches tall, enters the room. What is the average height of all 11 people in inches?
y−34=414 what is the answer
Answer: y = 448
Step-by-step explanation: I’m just good
A_________is a set that is contained in a larger set.
so billy has 10 apples if he subtracts it by 6 then times it by 3 then divides it by 2 what does he get?
Answer:
6
Step-by-step explanation:
3 × (10 - 6) ÷ 2 =?
The strategy that we are using here is PEMDAS:
First, you subtract 6 from 10 which is 4. 10 - 6 =4
Next, you multiply 4 by 3. 4 × 3 = 12
Then, you divide 12 by 2. 12 ÷ 2 = 6
Your answer is 6.
Your welcome. Showed my work below.
Question 10 Multiple Choice Worth 4 points)
(02.05 LC)
Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x - 2)?
The graph of y = f(x) will shift left 2 units.
The graph of y = f(x) will shift right 2 units.
The graph of y = f(x) will shift up 2 units.
The graph of y=f(x) will shift down 2 units.
Answer:
Your answer is A
Step-by-step explanation:
The graph of y = f(x) will shift left 2 units.
What expression is equivalent to (-18) - 64n ?
A -2 (9 - 32n)
B 2 (9 - 32n)
C 2 (9 + 32n)
D -2 (9 + 32n)
Answer:
D
Step-by-step explanation:
Distribute the -2 to the 9 to get -18 and then to the 32n giving you -64n
Subtract.
78.9−5.64 Pls help
Answer:
73.26
Step-by-step explanation:
I hope this helps :)
Answer:
73.26 is your answer.
Step-by-step explanation:
HELP ME NOW ASAPPP UnU
Answer:
56.757 and if u divide it : 676.75
Step-by-step explanation:
uwu
What operation should be done first to solve 6x + 5 = 35?
Answer:
Subtract 5
Step-by-step explanation:
Pemdas is done backwards in algebra
A certain forest covers an area of 1900 km2 . Suppose that each year this area decreases by 4.75% . What will the area be after 8 years? Use the calculator provided and round your answer to the nearest square kilometer.
Answer:
1000 klgram Sha bebe
And so many things I have to do whit a person do and every thing
Thank you
Sear's has a dishwasher that costs $679. It is on sale for 35% off - How much would you pay?
A.) $375.75
B.) $427.35
C.) $441.35
D.) $237.65
cómo resolver sopa de números encontrando resultados de divisiones por ejemplo 436/2
Answer:
Lo resuelves como de costumbre :)
Step-by-step explanation:
Answer:
218
Step-by-step explanation:
simplify expressions for 3c-4m and m=5 and c=4
Answer:
12-20=-8
Step-by-step explanation:
Multiply 3 by c which is 4=12 multiply -4 by m which is 5 which equals 20
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Help me pleaseeeeeeeeeeeeee
Please help me with this. I give brainliest and give ratings. Don't answer just to take my points or your getting reported.
What is the slope of the line ?
Answer:
slope: 3/1.5
Step-by-step explanation:
You go up 3 and over 1 1/2 like its half then your gonna write 3/1.5
Find the measure of the missing angle.
Answer:
80
Step-by-step explanation:
because T to R is 80 too
Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for the constant of integration.) xe7x dx; u
Answer:
[tex]\displaystyle \int {xe^{7x}} \, dx = \frac{e^{7x}}{7} \bigg( x - \frac{1}{7} \bigg) + C[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integration
IntegralsIntegration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
U-Substitution
Integration by Parts: [tex]\displaystyle \int {u} \, dv = uv - \int {v} \, du[/tex]
[IBP] LIPET: Logs, inverses, Polynomials, Exponentials, TrigStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int {xe^{7x}} \, dx[/tex]
Step 2: Integrate Pt. 1
Identify variables for integration by parts using LIPET.
Set u: [tex]\displaystyle u = x[/tex][u] Basic Power Rule: [tex]\displaystyle du = dx[/tex]Set dv: [tex]\displaystyle dv = e^{7x} \ dx[/tex][dv] Exponential Integration [U-Substitution]: [tex]\displaystyle v = \frac{e^{7x}}{7}[/tex]Step 3: integrate Pt. 2
[Integral] Integration by Parts: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \int {\frac{e^{7x}}{7}} \, dx[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{1}{7} \int {e^{7x}} \, dx[/tex]Step 4: Integrate Pt. 3
Identify variables for u-substitution.
Set u: [tex]\displaystyle u = 7x[/tex][u] Basic Power Rule [Derivative Property - Multiplied Constant]: [tex]\displaystyle du = 7 \ dx[/tex]Step 5: Integrate Pt. 4
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{1}{49} \int {7e^{7x}} \, dx[/tex][Integral] U-Substitution: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{1}{49} \int {e^u} \, dx[/tex][Integral] Exponential Integration: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{e^u}{49} + C[/tex][u] Back-Substitute: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{e^{7x}}{49} + C[/tex]Factor: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{e^{7x}}{7} \bigg( x - \frac{1}{7} \bigg) + C[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
The points (0,2), (1,3), (2,6), and (3,11) are on the graph of a function. Which of the following equations represents that function?
A.h(x)=x^2+2
B.h(x)=0.5x^2+1.5
C.h(x)=2x^2
D.h(x)=x+2
Given:
The points (0,2), (1,3), (2,6), and (3,11) are on the graph of a function.
To find:
The function.
Solution:
In option A,
[tex]h(x)=x^2+2[/tex]
Putting x=0, 1, 2, 3 respectively, we get
[tex]h(0)=(0)^2+2=2[/tex]
[tex]h(1)=(1)^2+2=3[/tex]
[tex]h(2)=(2)^2+2=6[/tex]
[tex]h(3)=(3)^2+2=11[/tex]
The function passes through the points (0,2), (1,3), (2,6), and (3,11). So, [tex]h(x)=x^2+2[/tex] is the required function.
In option B,
[tex]h(x)=0.5x^2+1.5[/tex]
At x=0,
[tex]h(0)=0.5(0)^2+1.5=1.5\neq 2[/tex]
So, option B is incorrect.
In option C,
[tex]h(x)=2x^2[/tex]
At x=0,
[tex]h(0)=2(0)^2=0\neq 2[/tex]
So, option C is incorrect.
In option D,
[tex]h(x)=x+2[/tex]
At x=2,
[tex]h(2)=(2)+2=4\neq 6[/tex]
So, option D is incorrect.
Therefore, the correct option is A.
4) -3x – 2y = -17
9x + 2y = 23
A) (1,7)
B) (10, 7)
C) (5, 7) D) (-7,7)
Answer:
A). (1, 7)
Step-by-step explanation:
-3x – 2y = -17
9x + 2y = 23
____________+
6x = 6
x = 6/6
x = 1
9x + 2y = 23
9(1) + 2y = 23
9 + 2y = 23
2y = 23 - 9
2y = 14
y = 14/2
y = 7