The total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have:
A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.
In first swing = 10 m
In second swing = (9/10)10 m = 9 m
In the second swing = (9/10)9 =81/10
10, 9, 81/10,..
This is the geometric sequence with the first term being 10 and the common ratio being 9/10.
a = 10
r = 9/10
The sum of geometric sequence up to 25th terms:
S = a(1 - rⁿ)/(1 - r)
S = 10(1 - (9/10)²⁵)/(1 - 9/10)
S = 92.82 m
Thus, the total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.
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What does this mean "Go from -2
What is this -2
Find the arc length of the partial circle.
Either enter an exact answer in terms of π or use 3.14 π and enter your answer as a decimal.
Answer:
1/2 pi
Step-by-step explanation:
This is 1/4 of a circle
Find the circumference and multiply by 1/4
1/4 C
1/4 ( 2*pi*r) where r is the radius
The radius is 1
1/2 pi*1
1/2 pi
Answer:
Step-by-step explanation:
A full circle has a circumference of 2*pi * r
r = 1
so Full Circle = 2 * PI
1/4 Circle = 2*pi / 4 = 1/2 pi
The length of the arc length = 1/2 pi
Just in case you prefer the more numerical answer, 1/2 * 3.14 = 1.57
Rearrange the equation so xxx is the independent variable.
-5x-4y=-8
y=
Answer:
[tex]\displaystyle x = \frac{4y - 8}{-5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle -5x - 4y = -8[/tex]
Step 2: Solve for x
[Addition Property of Equality] Add 4y on both sides: [tex]\displaystyle -5x = 4y - 8[/tex][Division Property of Equality] Divide -5 on both sides: [tex]\displaystyle x = \frac{4y - 8}{-5}[/tex]Answer:
4y-8/ -5
Step-by-step explanation:
Mind uh... Answering my question?
Answer:
12 ounces
Step-by-step explanation:
[tex]3 \div 4 \\ = 0.75 [/tex]
1 pound = 16 ouncesmultiply the mass value by 16.[tex]0.75 \times 16 \\ = 12[/tex]
Hope it is helpful....Answer:
12 ounces
Step-by-step explanation:
1. Rút gọn biểu thức A(x) = (x+2)(x+3)(x+5) - (x-1)(x+4)(x+7). Từ đó tìm tất cả các giá trị x sao cho A(x) = 0.
x = -29/7
Step-by-step explanation:
A(x) = (x^2 + 5x + 6)(x + 5) - (x^2 + 3x - 4)(x + 7)
= (x^3 + 10x^2 + 31x + 30) - (x^3 + 10x^2 + 17x - 28) = 14x + 58
A(x) = 0 => 14x + 58 =0 => x = -58/14 = -29/7
Answer:
778744
Step-by-step explanation:
387t98878989890
given m=-2 and y intercept (0,-2) find the equation of the line in standard form.
Answer:
the answer is -2x-y=2
Step-by-step explanation:
Ax+By=C
y=mx+b
y=2x-2
-2x-y=2
Answer:
y=−2x−2
Step-by-step explanation:
A DVD is on sale for $1.05 off. This is a 15% discount from the original price. Use an equation to find the original price. A. $16.05, B. $15.75, C. $10.50, D. $7.00
Hey! Can anybody help? I’m stuck on this question
Help please!!! I only have 10 minutes!!
[tex] - 0.7[/tex]
Step-by-step explanation:
[tex] \frac{1}{2} ( - 1.4m + 0.4) [/tex]
[tex] = - 0.7m + 0.2[/tex]
solve the following problem as a percent equation: 36 is 80% of what number?
Answer:
45
Step-by-step explanation:
80%= 4/5
36 = 4/5 * ?
Take 4/5 on the other side and flip it
36 * 5/4 = ?
45=?
What is the Tenth COMMON FACTOR of 6 and 9? (DO NOT respond with the LCM of 6 and 9)
Greshak Corp. reports the following revenues:
2015 $10,000,000
2016 $11,250,000
2017 $12,500,000
2018 $13,500,000
2019 $12,750,000
2020 $12,900,000
What was Greshak’s compound annual growth rate (CAGR) in revenues over the 6-year period 2015 through 2020?
Answer
around 10%
Step-by-step explanation:
In triangle JKL, JKL is a right angle, KM and is an altitude. JL=25 and JM=5, find KM
Answer:
50
Step-by-step explanation:
help help help help help help help help
Answer:
Option A is correct
Step-by-step explanation:
6 feet 2 inches = 74 inches
74 inches = [tex]6 \frac{1}{6} [/tex]feet.
Hope it is helpful....La base de un rectangulo es doble que su altura Cuales son sus dimensiones si el perímetro mide 108 cm
Answer:
el ancho es
18
pulgadas y la longitud es
2
×
18
=
36
pulgadas.
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
Someone help please!!!!!
Please help thx and I will mark you as brainliest!
First one : y=1/3x+4.32
Second one: y=3x-2
Explanation: try Desmos. its a magical machine
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, 6) and (x₂, y₂ ) = (- 1, 4)
m = [tex]\frac{4-6}{-1-5}[/tex] = [tex]\frac{-2}{-6}[/tex] = [tex]\frac{1}{3}[/tex] , then
y = [tex]\frac{1}{3}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 1, 4 ) , then
4 = - [tex]\frac{1}{3}[/tex] + c ⇒ c = [tex]\frac{12}{3}[/tex] + [tex]\frac{1}{3}[/tex] = [tex]\frac{13}{3}[/tex]
y = [tex]\frac{1}{3}[/tex] x + [tex]\frac{13}{3}[/tex] ← equation of line
-----------------------------------------------------------------------
The equation of a line in point- slope form is
y - b = m(x - a)
m is the slope and (a, b) a point on the line
Here m = 3 and (a, b) = (- 2, 0 ) , then
y - 0 = 3(x - (- 2) ) , that is
y = 3(x + 2)
y = 3x + 6 ← equation of line
100 POINTS
My neighborhood is full of one-way streets. To drive from my house to the grocery store, I have to go 1 block south, then 1 block east, then 5 blocks north, then 2 blocks east. Each block is 1/16 of a mile. How much shorter would my trip be if I could fly like a bird (that is, travel in a straight line)?
I FOUND THE distance for non bird which is 9/16. I wanna apply the pythagoreum theorum and draw a straight line to make it a triangle so I can do so but don't know where to place it
Answer:
1/4
Step-by-step explanation:
A coordinate grid with 4 lines. Line A passes through (0, 5) and (4, 3.75). Line B passes through (3.75, 0) and (0, negative 5). Line C passes through (0, negative 5) and (negative 3.75, 0). Line D passes through (negative 3.75, 0) and (0, 5).
Which line represents the linear equation
–3y = 15 – 4x?
The equation –3y = 15 – 4x rewritten in slope-intercept form is
Answer:
C
Step-by-step explanation:
im pretty sure
Answer:
9
Step-by-step explanation:
HEEEEELLLLLLPPPPPPPPOP
4(x-8) = 4x-4*8
= 4x - 32
Answer:
4(x-8) = 4x-4*8
= 4x - 32
Step-by-step explanation:
Please help me! I will give brainly!
A law in Washington, D.C., restricts a new building's height to no more than 20 feet taller than the width of the street it faces. You design a building with stories that are each 15 feet tall for a street that is 88 2/3 feet wide. What is the greatest number of stories your building can have?
_______ Stories
How much shorter is your building than the height restriction?
________Feet
It can be up to 20 feet taller so add 20
To the width:
88 2/3 + 20 = 108 2/3
Divide total height by the height of one story:
108 2/3 / 15 = 7.24
The building can have 7 stories.
b. 7 x 15 = 105 total feet
108 2/3 -105 = 3 2/3 feet below the restrictions
Which fractions are equivalent to 40%? Check all that apply.
StartFraction 8 Over 100 EndFraction
Two-fifths
StartFraction 8 Over 20 EndFraction
StartFraction 4 Over 10 EndFraction
StartFraction 16 Over 40 EndFraction
btw: its a multiple choice question
There is a blueprint for a house that is a scale drawing for the entire house. One part of the house has a triangular base. The drawing of the width of the triangle is 4cm and the length is 6cm. If the width of
Please help with these two problems and give an accurate explanation. Thank you!
The domain is all of the x-values a function can have. The range is all of the y-values a function can have.
#50.
Domain: [-5, 10]
---The function starts at the x-value -5 and stops at the x-value 10.
Range: [-3, 5]
---The smallest y-value is -3 and the largest y-value is 5.
#51.
Domain: [-2, infinity)
---The function starts at the x-value -2 and has an arrow to indicate that it goes on forever.
Range: [0, infinity)
---The smallest y-value is 0 and an arrow indicates that the functions goes up and on forever.
Hope this helps!
An adult ticket is twice the cost of a child's ticket. Angela paid $ 28 for two adult tickets and three children's tickets. Which of the
following equations could be used to find the price of a child's ticket?
(A) x + 2x = 28
(B) 3x + 2(2x) = 28
(C)3(2x) + 2x = 28
(D) 3x + 2x = 28
The following equations could be used to find the price of a child's ticket, 3x + 2(2x) = 28, the correct option is B.
What is an Equation?An equation is a mathematical statement formed when two expressions are equated using an equal sign.
The equations are useful in determination of unknown parameters.
The equations are of various types, such as Trigonometric equations, quadratic equations.
The system of equations are used to solve complex problems.
Let the cost of child ticket is $x
An adult ticket is twice the cost of a child's ticket.
Let the cost of adult ticket is $2x
The total amount Angela paid is $28 for two adult tickets and three children's tickets.
The equation that will be formed is
4x + 3x = 28
It can also be written as 3x + 2(2x) = 28.
To know more about Equation
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Write a ratio and a percent for the shaded figure.
Total Squares = 10 × 10
= 100
Shaded Squares = 100 - (6×6)
= 64
Non Shaded = 6 × 6
= 36
Now Ratio of shaded portion is 64:100
= 16:25
Percentage = 64/100 × 100
= 64%
Answered by Gauthmath must click thanks and mark brainliest
A map is drawn to a scale of 1 cm to x m. A plot of land with an area of 28 hectares is represented by an area of 112 cm?. Find the value of x. (1 hectare = 10 000 m²)
Answer:x=50
Step-by-step explanation:
28 hectares=28 0000 m2
1000
2500
50
the area ratio is the square of the scale drawn ratio
A dice is rolled twice and the result the result of each roll is added together. What is the probability that the sum is equaled to 2?
Answer:
1/36
Step-by-step explanation:
to get a sum of 2 you must roll a 1 both times. The probability of this is (1/6)*(1/6)=1/36
Answer:
1/36
Step-by-step explanation:
There are 36 total possibility, and 2 is one of them
Graph the solution of the inequality 2x − (3 − x) > x + 1 on the number line. sorry i don't have a graph but quick pls help'll give brainliest!!!
Answer:
see below
Step-by-step explanation:
2x − (3 − x) > x + 1
Distribute the minus sign
2x-3+x > x+1
Combine like terms
3x-3 >x+1
Subtract x from each side
3x-3-x>x+1-x
2x-3 >1
Add 3 to each side
2x-3+3>1+3
2x>4
Divide by 2
2x/2 >4/2
x>2
Open circle at 2 , line going to the right
Answer:7
Step-by-step explanation:
PLZ HELPPPP!!! WILL GIVE BRAINLIEST! TYSM!!
Find the arc length of the semicircle.
Either enter an exact answer in terms of π (pi) or use 3.14 and enter your answer as a decimal.
Answer:
6 pi
Step-by-step explanation:
The arc length is 1/2 of the circumference
C = pi * d
So the arc length is 1/2 C
arc length= 1/2 ( pi *d)
= 1/2 pi(12)
= 6 pi
