HELP HELP HELP!!!!!!!
A piece of paper is 0.1 millimeter thick. When folded, the paper is twice as thick.
Find both the explicit and recursive rule for this geometric sequence.
Answers
Answer:
sorry i am struggling the same
Step-by-step explanation:
2+2=4
The answers to each part are mentioned below.
What is geometric sequence? What is an exponential function? Differentiate between equation and expression? geometric sequence : A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is a piece of paper is 0.1 millimeter thick. When folded, the paper is twice as thick.
We can write the geometric sequence as -
0.1, 0.2, 0.4, 0.8 ......
The explicit formula for a geometric sequence is of the form -a{n} = arⁿ ⁻ ¹
where [r] is the common ratio.
The recursive formula for a geometric sequence is of the form -a{n} = a{n - 1}rFor the geometric sequence -
0.1, 0.2, 0.4, 0.8 ......
The explicit formula will be : a{n} = (0.1)(2)ⁿ ⁻ ¹ The recursive formula will be : a{n} = 2a{n - 1}If the paper is folded 7 times, we can write the thickness as -
y{7} = (0.1)(2)⁶ = (0.1) x (64) = 6.4
To surpass the Mount Everest, we can write -
8850 < (0.1)(2)ⁿ ⁻ ¹
(2)ⁿ ⁻ ¹ > 88500
(2)ⁿ/2 > 88500
(2)ⁿ > 177000
n log(2) > log(177000)
n > {5.25/log(2)}
n > 17.44
n > 18
Therefore, the answers to each part are mentioned above.
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Related Questions
Please answer quick, in the picture)
Answers
b=y
when dividing powers, you minus them
Step-by-step explanation:
Given
[tex]for \: a) \\ = \frac{ {x}^{8} }{ {x}^{2} } \\ = {x}^{8 - 2} \\ = {x}^{6} \\ now \: for \: b \:) \\ \frac{ {y}^{5} }{ {y}^{4} } \\ = {y}^{5 - 4} \\ = y[/tex]
Hope it will help :)
Tashara has x number of baseball cards. Larry has 5 more than 2 times this number. Which expression represents the number of cards larry has?
Answers
Answer:
2x +5....................
The expression 2x + 5 represents the number of cards larry has.
What is an expression?An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.
For example 3x +5y
The constraint of expression is represented as = or <, >.
Given that,
Tashara has x number of baseball cards.
And,
Larry has 5 more than 2 times x
So,
Larry has = 2(x) + 5
Hence "The expression 2x + 5 represents the number of cards larry has".
To learn more about expression,
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Help me please thank you :)
Answers
graph the image of V (3,–7) after a rotation 180° clockwise around the origin.
Answers
Answer and Step-by-step explanation:
It is in the screenshot.
The point is (-3, 7), and would be noted as V'.
#teamtrees #WAP (Water And Plant)
Image of the point V is V' = (-3, 7) as shown in the graph below.
What is Coordinate Geometry?One of the most intriguing ideas in mathematics is called coordinate geometry. By using graphs with curves and lines, coordinate geometry (also known as the analytic geometry) explains how geometry and algebra are related. They can answer geometrical problems because it gives them geometrical aspects of algebra. In this area of geometry, a pair of ordered numbers is used to describe the location of points on a plane.
As per the given data:
Coordinates of point V = (3, -7)
Rotation to be given = 180° (clockwise)
For drawing the image of point V (3, -7):
Step 1: Draw a line passing through the origin and V (3, -7) extending through 2nd and 4th quadrant.
Step 2: Change sign of x and y coordinates as rotation is of 180° and mark the point in the 2nd quadrant.
Image of the point V is V' = (-3, 7) as shown in the graph below.
Hence, the image of the point V is V' = (-3, 7).
To learn more about Coordinate Geometry, click:
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HURRRYYYYYYY HE KEEPS ASKING FOR THE ANSWER IF I DONT TURN IT IN IM GETTING A REFERAL
Julie has put a map of the United States on a coordinate grid. Phoenix is at approximately (−2.4, −4.2) and Atlanta is at approximately (2.9, −4.2).
If each unit on the grid represents 300 miles, what is the approximate distance between Phoenix and Atlanta?
Explain how you could find the distance between a point and its reflection across the y-axis.
Answers
Answer:
I think it is 150 miles between Phoenix and Atlanta
Step-by-step explanation:
(2.9,-4.2)-(2.4,-4.2)=(0.5,0)
0.5 is half of 1 and 150 is half of 0.5
What is the probability that the spinner will land on either yellow (Y) or green (G)
Answers
please help 10 points
Answers
Answer:
B
Step-by-step explanation:
At least i think its b since i read this recently
A family eats at a restaurant. The bill, including tax, is $45. The family then leaves a 20% tip. How much did the family spend on the meal? *
Answers
Answer:
$54
Step-by-step explanation:
45 increase 20% =
45 × (1 + 20%) = 45 × (1 + 0.2) = 54
can some one help me with this
Answers
Answer:
he ate 12/12 which means the dinasour ate all of the plant
Step-by-step explanation:
i cant lie this is a wierd question cause it seems to obvious but here it is....
10/12+ 2/12= 12/12
12/12=1 whole the dinasour ate the entire plant
Answer: 10/12 + 2/12 = 12/12 or 1 whole
Step-by-step explanation: Since it says at first the dino ate 10/12 and then after it ate 2/12 more. When your adding fractions the denominator doesn't change but the numerator does. Therefore its basically saying what's 10+2 which = 12 then you put the denominator on the bottom which is 12/12 if you want to simplify it. It turns to a 1 whole
x - (-2) = 10
what is x
Answers
Answer:
x = 12
Step-by-step explanation:
x - (-2) = 10 | Given
x - 2 = 10 | Distribute (whenever there is a minus on the outside of a parenthesis imagine a -1 on the outside, and flip the signs of everything on the inside)
x = 12 | Add 2 to both sides.
Triangle HIJ is reflected over the X axis which of the following is the set of vertices of triangleH’ I’ J’
a
H'(-1,4), I'(4,2), J'(-2,-3)
b
H'(1,-4), I'(-4,-2), J'(2,3)
c
H'(-9,4), I'(-4,2), J'(-10,-3)
d
H'(1,-10), I'(-4,-2), J'(2,-3)
Answers
Answer:
To reflect a figure over the y-axis, multiply the x-coordinate by - 1 and use.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Its B
How does the graph of the function g(x) = 2x + 5 differ from the graph of f(x) = 2X?
Answers
Answer:
Step-by-step explanation:
The lines are parallel, but g(x) lies 5 units above f(x).
Which of the following is equivalent to “the product of 2 and 3 is increased by 7”?
A. 2(3) +7
B. (2 + 3) + 7
C. 2(3) – 7
D. (2 + 3) – 7
PLEASE HELP!
Answers
product is multiplication
increased is addition
What is the value of c if a = 12 and b = 5
Answers
Answer:
-2
Step-by-step explanation:
Evaluate the expression for the given value of x.
f(x) = { (2)" ; x = 0
Answers
Answer:
2
Step-by-step explanation:
substitute the given value into the function and evaluate
If 350$ is placed in a savings account that earns 3.5% interest once a year, how much money will be in the account after 10 years?
Answers
What it the common ratio for 17, 51, 153, 459,.....
Answers
Answer:
Step-by-step explanation:
1:3
Answer:
-3
Step-by-step explanation:
153÷-51=-3
-51÷17=-3
PLEASE HELP ASAP!!! WILL MARK BRAINLIEST!!! (Solving Equations with Distributive Property)
1) -1/2(12p-42) = -33
2) -3 + 2/3(6n-42) = -51
Answers
Step-by-step explanation:
Answer and explanations are in the pic
Need help with number 4 please due today
Answers
Answer:
#4 is not a function because not every x-value corresponds with only one y-value
Step-by-step explanation:
1. The temperature in Hawaii on Thursday was 85°F. The temperature in Colorado on Thursday was -
5°F. Which expression(s) represent this situation using the absolute value of the difference?
O 85 - 5
O-5-85
O 185 - (-5)
O 15 - 85
Answers
Answer:
-5-85
Step-by-step explanation:
The temperature in Hawaii on Thursday was 85°F.
The temperature in Colorado on Thursday was - 5°F.
The difference in temperature is given by :
[tex]\Delta T=-5-85[/tex]
So, the correct option is (b) "-5-85".
If an ordered pair was added to the table, which of the following pairs would result in the table becoming not a function. (-3, 6) (0, 8) (3, 20) (8, 4) (-10, 8)
(A) (– 8, 8) (C) (8, 3) ( B) (6, 3)(D) (– 3, 4)
help please
Answers
Answer:
the answer is a I just took the test and its right
Step-by-step explanation:
Oscar charges $25 for the first hour of tutoring and $15 for each additional hour or fraction of an hour counting as a whole hour.
The rates that Latoya charges for x hours of tutoring are modeled with the function shown.
f(x)=30x,0≤x≤3
20x,3 6
(Imagine this stuff above as a piecewise function)
Complete to make a true sentence.
____ will charge $ ____ more to tutor for 5.5 hours.
Answers
Answer and explanation:
Since Oscar charges $25 for the first hour and $15 for every additional hour or fraction of an hour, his function would be :
f(x)= 25x 0 is less than or equal to x and x is less than or equal to 1
Latoya charges $30 for the first three hours and $20 for every additional hour or fraction of an hour. The function :
f(x)= 30x
0 is less than or equal to x and x is less than or equal to 3
Given that each taught their students for 5.5 hours, their charges would be :
For Oscar,
The first hour = 25×1= $25
4.5 hours left= 15×4.5= $67.5
Total charge for 5.5 hours= $67.5+$25= $92.5
For Latoya,
The first three hours= 30×3=$90
2.5 hours left= 2.5×20= $50
Total charge for 5.5 hours= $90+$50= $140
Therefore Latoya will charge $47.5 more to tutor for 5.5 hours.
the number7 less than z is_______
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Answer:
z-7 is correct
please please help with equations
Answers
Answer:
Clara: y=40x+ 50 Hector: y=35x+100To cost the same we need to set the equations equal to each other 40x+50=35x+1005x=50 --> x= 10hours I do exams and quizzes if your interested!2. Given g(t) = 5 + 2t, find each the value g(2)
Answers
Answer:
g(2) = 9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
g(t) = 5 + 2t
g(2) is t = 2
Step 2: Evaluate
Substitute in t: g(2) = 5 + 2(2)Multiply: g(2) = 5 + 4Add: g(2) = 9When the minimart opened, there were 178 bags of chips on the
shelf. The clerk sold some chips. During the day, the clerk put 72
more bags on the shelf. When the store closed, there were 57 bags
on the shelf. How many bags were sold?
Answers
Answer:
193 bags
Step-by-step explanation:
178 - x + 72 = 57
250 - x = 57
x = 193
help!
Question 1 (1 point)
Sally sold this watch during her shift at the mall for $219. She earns 3% commission. How much did she make on the sale?
Commission: $
Answers
Answer:
6.57
Step-by-step explanation:
find the number of inches needed to represent 300 miles if one fourth in =50 mi
Answers
Answer:
1.5 in
Step-by-step explanation:
if one quarter of an inch represents 50 mi then and we know 50 x 6 = 300 then you would need 6 fourths of an inch or one and a half inches.
can someone help me i need it now please
Answers
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James has a rectangular plot of land that is 250 feet long and x feet wide. He wants to build a fence around the plot of the land. If the perimeter of the plot is 942 feet, what is the value of x?
Answers
Answer:
= 221
Step-by-step explanation:
Lenght = 250
Width= x
Perimeter = 2 (l+b) = 942
2 x (250 +x) = 942
500 + 2x = 942
2x = 942 - 500= 442
x = 442 /2 = 221
I hope Im right!!