The paper is folded into 5 folds before the area is less than 1 square inches.
What is area?
Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.
Here the area of the folded paper after n folds is,
A = 90[tex](\frac{1}{3})^n[/tex]
Now put n=0 into given formula,
A = 90[tex](\frac{1}{3})^0[/tex]=90×1 = 90 square inches.
Here Area of the paper before being fold is 90 square inches.
Now area is less than 1 square inches then
=> 90[tex](\frac{1}{3}) ^n[/tex] < 1
=> [tex](\frac{1}{3}) ^n < \frac{1}{90}[/tex]
Here if n= 4 then [tex](\frac{1}{3}) ^4 > \frac{1}{90} = \frac{1}{81} > \frac{1}{90}[/tex] then n=5.
Hence the paper is folded into 5 folds before the area is less than 1 square inches.
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i have no idea pls help
Answer:
Q1. Radius = 3 cm
Diameter = 6 cm
Circumference = 18.84 cm
Area = 28.26 cm²
Step-by-step explanation:
Hello! Let us solve Q.1 together and you can solve Q2 and 3 by how we did in Q1. First, you will need to know what diameter, radius, and circumference means.
Definitions:
Diameter - It is a line that passes through the center of the circle and the line's end (known as endpoints) touches the opposite to each other (basically there are two endpoints).
Radius - It is a line which is half of the diameter.
Circumference - It is the circle.
Now that we know the definitions, let us solve it.
Q1. Radius = 3 cm
Diameter = 6 cm
Circumference = 18.84 cm
Area = 28.26 cm²
Looking at the circle, we are already given the radius which is 3 cm. Now let us find the diameter. We know that the radius is half of the diameter, so we would multiply the radius (3 cm) by 2.
3 × 2 = 6 cm ---> diameter
Lastly let us find the circumference. If you look above the questions, you are given an example and gives you the formula of circumference. We will use that formula to find the circumference of Q1. circle.
Circumference formula:-
[tex]c \: = \: \pi \: \times \: d[/tex]
C = 3.14 × 6
C = 18.84 cm
Same goes with finding the area. You are already given the formula, so you will use it to find the area of Q1.
Area of circle formula:-
[tex]a \: = \: \pi \: \times \: r {}^{2} [/tex]
a = 3.14 × 3²
a = 3.14 × 9
a = 28.26 cm²
Hope this helps and if you need help I would be glad to help you, thank you :) !!
thats not evan an answer choise
What are you talking about?
if y varies jointly as x and the inverse of z and y = -5 and x = -5 and z = 6, find y when x = 5 and z = -8
Step-by-step explanation:
y varies inversely as x=
y= k/xz
-5= k(-5)/6
k= 6
y=6/xz
y=6/5×-8
y= -3/20
Which expression is equivalent
Answer:
10^14
Step-by-step explanation:
The expression (10^2)^7 uses an exponent rule known as power raised to a power.
The rule states that when you multiply a base and its exponent to a power, you multiply the inner exponent and the outer exponent:
[tex](a^m)^n\\a^m^n[/tex]
Thus, we have
[tex](10^2)^7\\10^2^*^7\\10^1^4[/tex]
Consider the differential equation dy/dx=xy^4.
(b) Find ⅆ2yⅆx2 in terms of x and y. Determine the concavity of all solution curves for the given differential equation in Quadrant II. Give a reason for your answer.
(c) Find the particular solution y=f(x) to the given differential equation with initial condition f(4)=−1.
The differential equation [tex]\frac{dy}{dx} = xy^{4}[/tex] is considered and the solutions for the following questions are found.
What is a differential equation?
A differential equation is an equation that links the derivatives of one or more unknown functions. Differential equations contain derivatives, which might be either partial derivatives or ordinary derivatives.
The differential equation describes a relationship between the variable that is constantly varying with respect to the change in another quantity, and the derivative represents a rate of change.
Given,
[tex]\frac{dy}{dx} = xy^{4}[/tex]
a) Now finding [tex]\frac{d^{2} y}{dx^{2} }[/tex] = [tex]y^{4} + 4xy^{3} \frac{dy}{dx}[/tex] = [tex]y^{4} + 4xy^3 (xy^4) = y^4 + 4x^2y^7[/tex]
In quadrant II, the values of x < 0 and the values of y >0.
So [tex]\frac{d^{2} y}{dx^{2} }[/tex] = [tex]y^4 + 4x^2y^7[/tex] > 0 for all values of x and y in quadrant II.
Therefore the concavity is up for of all solution curves of the given differential equation.
b)
[tex]\frac{dy}{dx} = xy^{4}\\\\\frac{dy}{y^4} =x dx\\\\\int {\frac{dy}{y^4} } \, = \int {x} \, dx \\\\\frac{y^{-4+1} }{-4+1} = \frac{x^{2} }{2} + c\\\\\frac{y^{-3} }{-3} = \frac{x^{2} }{2} +c[/tex]
Now it is given that initial condition is f(4) = -1
So substituting x =4 and y = -1 is the above equation to find c, we get
[tex]\frac{-1^{-3} }{-3} = \frac{4^2}{2} +c \\\\\frac{1}{3} = 8 + c\\\\c = \frac{1}{3} - 8 = \frac{-23}{8}[/tex]
Therefore the solution y = f(x) is to the given differential equation with initial condition f(4)=−1.
[tex]\frac{y^{-3} }{-3} = \frac{x^{2} }{2} -\frac{23}{8}\\ \\ \frac{1}{3y^3} = \frac{46 - 8x^2 }{16} = \frac{23 - 4x^2 }{8}\\\\y = \sqrt[3]{\frac{8}{3(23-4x^2)} }[/tex]
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Elizabeth buys 50 meters of ribbon to make bows for the cheer squad. Each bow uses 1.3 meters of ribbon. How many bows can Elizabeth make? *
Answer:
38 bows
Step-by-step explanation:
50 ÷ 1.3 ≡ 38 6/13
38 × 1.3 = 49.4
Since you cant make 6/13 of a ribbon, Elizabeth would be able to make 38 bows.
Given triangle ABC, which equation could be used to find the measure of ∠C?
a
tan m∠C = one half
b
sin m∠C = square root of 5 over 5
c
sin m∠C= square root of 5 over 2
d
tan m∠C = 2
The measure of the angle ∠C in the triangle ABC can be gotten using tan m∠C = 2
What is an equation?An equation shows how two or more numbers and variables are related to each other.
On the other hand, trigonometric ratios are used to show the relationship between the sides and angles of a right angled triangle.
The basic equations of the trigonometry ratios are
sinФ = opposite/hypotenuse; cosФ = adjacent/hypotenusetanФ = opposite/adjacentUsing the above as a guide, and the given triangle:
We have:
tan m∠C = opposite/adjacent
Substitute the known values in the above equation, so, we have the following representation
tan m∠C = 6/3
Evaluate
tan m∠C = 2
Hence, the true equation is (d) tan m∠C = 2
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52 > 43 + w
is it a solution?
7 yes or no
4 yes or no
13 yes or no
9 yes or no
answer yes or no for EACH one
Answer:
Step-by-step explanation:
What is the Volume of this Prism?
Answer:
240
Step-by-step explanation:
URGENT!!!
The number of customers that come to a certain clothing store each day follows a normal distribution. The mean number of customers is 428, and the standard deviation is 32. What is the probability that more than 524 customers will come to the store on a given day?
Answer: 0.15%
Step-by-step explanation: edmentum
Answer:
Step-by-step explanation:
the answer is 0.15
Can anyone help me asap!?<3
HELP PLEASE IVE BEEN STUCK ON THIS PROBLEM ALL DAY
The table that is a justification for the given solution to the system of equations is table 1
How to determine the table that bears the correct values?The two linear equations are
y=4x-9 and
y=2x-5
We that the following points for x : -1, 0, 1, 2, 3
When we substitute the values in the two equations we will have
x y₁ y₂
-1 -13 -9
0 -9 -5
1 -5 -3
2 -1 - 1
3 3 1
Conclusively the values of y₁, and y₂ are shown in the table above
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On amazon, you found the same shoe for $108. What is the percent difference between the price of the original and the price of the amazon shoe
Answer:
Step-by-step explanation:
Here's the complete question:
It cost Nike $55.00 to make the Kyrie 5, but it is selling for $130.19. Calculate the markup/percent Increase for the shoe. On Amazon, you found the same shoe for $108. What is the percent difference between the price of the original shoe and the price of the amazon shoe
The percentage Increase of the shoe will be:
= Selling price - Cost/ Cost × 100
= (130.19 - 55.00) / 55.00 × 100
= 75.19 / 55.00 × 100
= 136.71%
The percent difference between the price of the original shoe and the price of the amazon shoe will be:
= (130.19 - 108)/130.19 × 100
= (22.19 / 130.19) × 100
= 17%
Which of the parabolas has a maximum?
(1) y = 8x² + 6x + 6
(2) y = -2x² + 6x - 6
(3) y = 2x² - 6x + 6
(4) y = 6x² - 6x-6
Answer:
(2) y = -2x² + 6x - 6
Step-by-step explanation:
Notice that the only leading coefficient that is negative is in the 2nd equation. Hence, the shape of the parabola will be upside down, making it have a maximum.
Can u pls help me, pls
Answer:
The answer is A.
Step-by-step explanation:
○Lets Angle 1 and the angle with in a linear pair.
○Now we have 53+42+Angle x = 180° (Angle sum property of triangle)
= 53+42+x= 180
= 95+x= 180
= x= 180-95
= x= 85°
○Now that we found x, we can take angel x and angel 1 in linear pair again.
= Angelx + Angel 1= 180° (Linear Pair)
= 85 + Angel 1= 180°
= Angel 1= 180-85
= Angel 1= 95°
Therefore, option A is correct.
Can anyone help with these 2 problems explain how you got the answer please I’ll give brainleist.
Answer:
It is best it you guess. What grade are you in
Step-by-step explanation:
Answer:
I think <BCH would also be 108 since its corresponding angles
and with <MNJ would also be 97 since its alternate exterior angles
Juanita changed $20 into euros when the exchange rate was €1=$1.2685.
How many euros did she receive?
Give your answer correct to 2 decimal places.
How do you write 4 7/8 as a decimal
Answer:
4.88
Step-by-step explanation:
Turn 4 7/8 as an improper fraction Divide The FractionDone!Hops This Helps!
To convert 4 7/8 into a decimal, we first need to turn the mixed number into an improper fraction.
In order to turn the mixed number into an improper fraction, we need to multiply the whole number by the denominator and add it up with the numerator.
[tex]4\dfrac{7}{8}[/tex]
[tex]4\times8=32+7=39[/tex]
Now, put that sum over the denominator:
[tex]\dfrac{39}{8}[/tex] (improper)
Now, to turn the improper fraction into a decimal, we need to divide the numerator by the denominator:
[tex]39\div8[/tex]
[tex]=\fbox{4.875}[/tex] (final answer)
Apply In Bhutanese architecture, the faces of
buildings are trapezoids. If the row of decorative
brick shown is 28.5 feet wide, what is the width
of the base of the building?
Answer:
Understand Given kite ABCD and isosceles trapezoid WXYZ, complete a two-column proof to show that ... 9. △ADW ≅ △CDZ. 9. SAS. 9. Apply In Bhutanese architecture, the faces of buildings are trapezoids. If the row of decorative brick shown is 28.5 feet wide, what is the width of the base of the building? 25 ft. 16 ft. 16 ft.
Step-by-step explanation:
a dealer sold printing machine for 47460 including 13% vat. find the original price(excluding vat).
Answer:
42000
Step-by-step explanation:
Original price (before VAT) is 100% of price.
VAT is 13%, of the original price so final price is 113% of original price.
113% = 1.13
original price = 47460/1.13 = 42000
Is the first side “SW=XW” or “ST=XU”?
Answer:
SW =XW and ST=XU and UW=TW
Step-by-step explanation:
All are true and correct since the two triangles are congruent
Can some one help me with this question its hard :( down below ill give brainliest
(100 points)A catering company offers meal pairings that include an appetizer of either salad or soup and an entree of either chicken or fish. At one event, they serve a total of 78 meals. Of the 46 meals that include salads, 21 also include fish. There are 35 meals with fish as the entree. Determine which two-way frequency table represents this situation. Jk
Two-way table showing meal pairings with frequency of salad, soup, chicken and fish.
Meal Pairing Salad Soup Chicken Fish
Frequency 46. 32. ?. 35
To calculate the frequency of chicken, subtract the frequency of salad and fish from the total of 78 meals.
Frequency of chicken
= 78 - 46 - 35
= 27.
Meal Pairing Salad Soup Chicken Fish
Frequency 46. 32. 27. 35
The total number of meals served is 78. Of the 46 meals that included salads, 21 also included fish. This means that the frequency of fish is 35. The frequency of chicken can be calculated by subtracting the frequency of salad and fish from the total number of meals. The frequency of chicken is 27. The two-way frequency table representing this situation is as follows: Meal Pairing, Salad, Soup, Chicken, Fish; Frequency, 46, 32, 27, 35. This table shows that there were 46 meals with salad, 32 meals with soup, 27 meals with chicken, and 35 meals with fish.
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Limx→0 e^x -e^5/ x-5
Answer:e5
Step-by-step explanation:
Here you go
Find the value of
5x? if x =
- 3
Answer:
-15
Step-by-step explanation:
5x-3=-15
Step-by-step explanation:
ind the Average Rate of Change of the table below for the interval 0 < x < 4
The average rate of change is equivalent to 2.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Given is the table as shown below -
[x] : 0 1 2 3 4
[y] : -2 -3 1 3 6
The rate of change in the interval 0 < x < 4 is -
AROC = (6 + 2)/(4 - 0)
AROC = 8/4
AROC = 2
Therefore, the average rate of change is equivalent to 2.
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AABC~ ADEF. What is the scale factor?
Help please
Answer:
3:1 or 3
Step-by-step explanation:
the left triangle is scaling up to the right triangle. 5/15 is 1/3
7/21 is 1/3
4/14 is 1/3
since it is scaling UP, the scale factor is 3:1
Six toilet rolls cost $1.99. Nine toilet rolls cost $2.69. Is cost directly proportional to number of toilet rolls? Explain your reason!
Answer:
not directly proportional
Step-by-step explanation:
if the cost is directly proportional to number of rolls , then the unit cost for both will be equal.
first
one roll costs $1.99 ÷ 6 = $0.33 ( to 2 decimal places )
second
one roll costs $2.69 ÷ 9 = $0.30 ( to 2 decimal places )
since the unit costs are different there is not a directly proportional relationship.
Answer:
No because to buy nine rolls would be $2.69 but to buy six and then three to make nine then it would be $2.985 which is more expensive.
Step-by-step explanation:
$1.99 divided by 2 = 0.995
$1.99 + 0.995 = $2.985
$2.985 > $2.69
Hope this helps!!! :)Given the parent functions f(x) = 5x - 1 and g(x) = 3^x-
9, what is g(x) - f(x)?
Answer:
g(x) - f(x) = 3^x - 9 - (5x - 1) = 3^x -5x - 8
Please Help me find the area of the figure round to the nearest hundredth nessary
Answer:
912 cm²
Step-by-step explanation:
Formula for area of triangle: 1/2bh
So you'll first multiply the base by the height of the triangle
48 x 38 = 1,824
Then you'll multiply 1,824 by 1/2(which is the same as dividing it by 2)
1,824 ÷ 2 = 912