The formula T=2pi sqrt(L/32) gives the time it takes in seconds, T, for a pendulum to make one full swing back and forth, where L is the length of the pendulum, in feet. To the nearest foot, what is the length of a pendulum that makes one full swing in 1.9 s?
Answers
The length of a pendulum that makes one full swing in 1.9 seconds is 3 feet.
As per the given data, the given formula is:
\($T=2 \pi \sqrt{\left(\frac{L}{32}\right)}\) gives the time it takes in seconds.
Where,
T is the time it takes for a pendulum to make one full swing back and forth (in seconds).
L is the length of the pendulum, in feet.
Here we need to find the length of a pendulum that makes one full swing in 1.9 seconds to the nearest foot.
Substitute the given parameters into the formula will give;
\($1.9=2 \pi \sqrt{\left(\frac{L}{32}\right)}\)
Now divide both sides by 2π.
\($ \frac{1.9}{2 \pi}=\sqrt{\left(\frac{L}{32}\right)} \\\)
\($ 0.3024=\sqrt{\left(\frac{L}{32}\right)}\)
Then taking square on both sides.
\($ (0.3024)^2=\frac{L}{32} \\\)
0.09144576 = \($\frac{L}{32}\)
Later multiply both sides by 32.
2.9262 = L
The approximate value of the length of a pendulum:
L ≈ 3
Therefore, the length of a pendulum is about 3 feet.
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Related Questions
Fill in the blank to make the two fractions
Answers
Answer:
18
Step-by-step explanation:
3/4
24 ÷ 4 = 6
Multiply the top and bottom by 6
3/4 * 6/6 = 18/24
Answer:
\(18\)
Step-by-step explanation:
\( \frac{3}{4} \frac{ \times 6}{ \times 6} = \frac{18}{24} \)
what are the 6 steps to designing a statistical study
Answers
Answer:
Step 1: Write your hypotheses and plan your research design
Step 2: Collect data from a sample
Step 3: Summarize your data with descriptive statistics
Step 4: Test hypotheses or make estimates with inferential statistics
Step 5: Interpret your results
Step-by-step explanation:
Among all pairs of numbers whose sum is 24, find a pair whose product is as large as possible. Show the work(the steps)! Write an equation of the corresponding quadratic function. How parabola opens? What is the maximum product? Does this function has a maximum value or the minimum value? Explain. Graph the function and upload the image.
Answers
The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.
To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.
Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.
To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:
P(x) = x(24 - x)
This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.
The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.
To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.
Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.
So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.
Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.
To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]
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I need help with this :/
Answers
Answer:
Plz mark me brainliest!!!!
Step-by-step explanation:
0
90
180
270
380
Which rule describes the translation?
O (x, y) = (x – 8, y - 3)
O (x, y) - (x - 3, y+8)
O (x, y) = (x + 8, y-3)
O (x, y) - (x + 3, y + 8)
Answers
Answer:
c
Step-by-step explanation:
translations assignment
Which table represents only values described by the relationship between t and w?
w = t + 11.2
Answers
The table of w = t + 11.2 is:
t w
0 11.2
1 12.2
2 13.2
3 14.2
4 15.2
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
w = t + 11.2
The table can be calculated as,
When t = 1, w = 1 + 11.2 = 12.2
When t = 2, w = 2 + 11.2 = 13.2
When t = 3, w = 3 + 11.2 = 14.2
When t = 4, w = 15.2
So on..
Thus,
t w
0 11.2
1 12.2
2 13.2
3 14.2
4 15.2
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What is the end behavior of the graph?
Responses
As x approaches infinity, f(x) approaches negative infinity.
As x approaches negative infinity, f(x) approaches negative infinity.
As x approaches infinity, f open argument x close argument approaches negative infinity., , As x approaches negative infinity, f open argument x close argument approaches negative infinity., , ,
As x approaches infinity, f(x) approaches infinity.
As x approaches negative infinity, f(x) approaches infinity.
As x approaches infinity, f open argument x close argument approaches infinity., , As x approaches negative infinity, f open argument x close argument approaches infinity., , ,
As x approaches infinity, f(x) approaches negative infinity.
As x approaches negative infinity, f(x) approaches infinity.
As x approaches infinity, f open argument x close argument approaches negative infinity., , As x approaches negative infinity, f open argument x close argument approaches infinity., , ,
As x approaches infinity, f(x) approaches infinity.
As x approaches negative infinity, f(x) approaches negative infinity.
Answers
The end of the graph is
As x approaches infinity, f open argument x close argument approaches negative infinity., , As x approaches negative infinity, f open argument x close argument approaches infinity
as x tends to ∞, f(x) tends to -∞as x tends to -∞, f(x) tends to ∞What is end behavior?The end behavior of function typically says the characteristics of the function at the ends
How to find the end behavior of polynomial functionThis is determined by examining the graph and the coordinates.
The graph shows as at the positive side of the x coordinate, as x tends to ∞ the curve is pointing down - ∞The graph shows as at the negative side of the x coordinate as x tends to - ∞ the curve is pointing up ∞The end behavior is can be written as
x ⇒ ∞ f(x) ⇒ -∞
x ⇒ -∞ f(x) ⇒ ∞
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I really just need a simple STEP-BY-STEP explanation on how you do percentages.
Answers
Alice finds shirts on sale for $18.99.She buys twelve how much money does she spend?
Answers
Answer:
Well, if Alice buys 12 shirts which each cost $18.99 the equation would be 18.99 * 12 which = 227.88
Alice spent $227.88 on 12 shirts
Step-by-step explanation:
Answer:
Well, if Alice buys 12 shirts which each cost $18.99 the equation would be 18.99 * 12 which = 227.88
Step-by-step explanation:
Finde the value of x in the proportion ( 5x+ 1 ):3 =(2x +2): 7(6 x) = (4x) :7
Answers
In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.
In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.
To find the value of x in the given proportions, let's solve them one by one:
(5x + 1) : 3 = (2x + 2) : 7
To solve this proportion, we can cross-multiply:
7(5x + 1) = 3(2x + 2)
35x + 7 = 6x + 6
Subtracting 6x from both sides and subtracting 7 from both sides:
35x - 6x = 6 - 7
29x = -1
Dividing both sides by 29:
x = -1/29
Therefore, the value of x in the first proportion is -1/29.
(6x) : (4x) = 7
To solve this proportion, we can simplify the left side:
6x / 4x = 7
Dividing both sides by 2x:
3/2 = 7
This equation is not true, as 3/2 is not equal to 7.
Therefore, there is no value of x that satisfies the second proportion.
In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.
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In triangle RST, m∠R > m∠S + m∠T. Which must be true of triangle RST?
Answers
Write two rational and three irrational number that are between 3and 4
Answers
a)rational number :
1)(3+4 )/2
=7/2 =3.5
2)(3.5+4)/2
=7.5/2 =3.25
b)irrational number :
1)10/3=3.33....
2)11/3=3.66....
......I hope it will help you. ..
Answer:
The real numbers, which can be represented by the ratio of two integer numbers, are called rational numbers, say P/Q where Q is not equal to zero.
The actual numbers that cannot be expressed as the two integer ratio are called irrational numbers.
Step-by-step explanation:
a)rational number :
1)
(3+4 )/2
=7/2 =3.5
2)
(3.5+4)/2
=7.5/2 =3.25
b)irrational number :
1)
10/3=3.33....
2)
11/3=3.66....
3)
√13
Find the area of the following shape:
Answers
Answer:
52 m²
Step-by-step explanation:
A(trap) = 1/2h · (sum of bases)
A = 1/2(8)·(3 + 10)
A = 4(13)
A = 52
The expression 0.09x+(x−30) models the final price of a bicycle with an instant rebate in a state that charges a sales tax. The tax is on the original price. Which expression represents the amount of tax that is paid on the bicycle?
A. x−30
B. 0.09x
C. 1.09x
D. 0.09x−30
Answers
Answer:
B. 0.09x
Step-by-step explanation:
x is the initial price.
0.09x is the 9% sales tax.
-30 is the instant rebate.
1. A target is divided into 100 squares colored in dark blue, white, and light blue. Amber throws a beanbag that lands on the target.
co
9 25
dark blue
What is the probability that it will land on a dark blue square?
26
white
light blue
Answers
The probability of landing on the dark blue target is 2/5.
Finding probabilityProbability is the ratio of required to the total possible outcomes of an event.
The required outcome = dark blue= 25Total possible outcomes= entire sample Space = 100P(dark blue ) = 40/100
divide through by 20
P(dark blue ) = 2/5
Therefore, the probability of landing on target is 2/5
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What is the equation for this line?
Answers
y=2/3x-4 is the equation of the line where 2/3 is the slope.
We have to find the equation of line which is passing through points (0, -4) and (3, -2).
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁.
Slope = -2+4/3-0
=2/3
Now let us find the y intercept.
-4=2/3(0)+b
b=-4
The equation of line is y=2/3x-4.
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Caleb is designing a conveyor belt that has to move manufactured products up an incline, as shown above. To avoid products sliding or toppling, he has determined an ideal angle above the horizontal of 0.19 radians.What distance, d, in meters, will the product be conveyed using Caleb's design? (Round your answer to the nearest tenth of a meter.) HELP MEEE !!!
Answers
Answer:
16.3 meters
Step-by-step explanation:
1 pi radian =180°
0.19 =?
(0.19×180)÷3.142=10.9°
cos 10.9=16/d
d cos 10.9 =16
d=16÷cos 10.9
d=16.3 meters
james is stocking shelves with notebooks. if he has 5 different notebooks, in how many ways can he arrange them on a shelf?
Answers
Answer: 120
Step-by-step explanation: I got it right, hope this helps ✨
Answer:
he has I20 different ways to put the books
Step-by-step explanation:
to solve this you would multiply 5x4x3x2 this is how many different combinations he can but the note book on the shelf. 5x4x3x2 is equal to 120
factorise x³-4x²+x+6
Answers
The binomial factors of x³- 4x²+x+6 are (x+2), (x+3), and (x-1).
Using the splitting and grouping the terms:
x³ + 4x² + x - 6
= x³ + 2x² + 2x² + x - 6 [Splitting 4x² = 2x² + 2x²]
= (x³ + 2x²) + (2x² + x - 6)
= x² (x + 2) + (2x² + 4x - 3x - 6)
= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]
= x² (x + 2) + (x + 2) (2x - 3)
= (x + 2) ( x² + 2x - 3)
= (x + 2) ( x² + 3x - x - 3)
= (x + 2) [x (x + 3) - 1 (x + 3)]
= (x + 2) (x + 3) (x - 1)
Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)
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hi im doing homework i hate i-ready so yea can someone answer this please?
Answers
Weight of Omar after 4 weeks is 9.4375 pounds.
What is Unit Conversion?The same attribute is expressed using a unit conversion, but in a different unit of measurement.
For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.
Given:
Weight of Omar at the time of birth = 8 pound 3 ounces
Weight gained by Omar in 4 weeks = 5 × 4 = 20 ounces
New weight of Omar
= (8 lb 3 ounces) + 20 ounces
= 8 lb + 23 oz
As, we know 16 ounces = 1 pound
23 ounces = 1.4375 pound
Now, total weight of Omar after 4 weeks = 8 lb + 23 oz
≈ 8 lb + (1.4375) lb
≈ 9.4375 pounds
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Dividing by Multiples of 10 When dividing a number by 10, where is the decimal point moved? PLEASE HELP!
Answers
When dividing a number by 10, the decimal point is moved one place to the left.
What is the arithmetic operation?
Arithmetic operations involve the study of numbers, the operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication, and Division.
When dividing a number by 10, the decimal point is moved one place to the left.
For example, if we divide 345.67 by 10, the result is 34.567.
Similarly, if we divide 345.67 by 100, the result is 3.4567.
If we divide 345.67 by 1000, the result is 0.34567.
In general, if we divide a number by 10^n (where n is a positive integer), the decimal point is moved n places to the left.
For example, if we divide 345.67 by 10^4, the result is 0.034567.
Hence, When dividing a number by 10, the decimal point is moved one place to the left.
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What is the area of a circle with a diameter of 34 mi? Use 3.14 for n
O 213.52 mi2
0907.46 mi2
O 106.76 mi2
0 3629.84 mi2
Answers
Answer:
907.46
Step-by-step explanation:
diameter = 34
radius = 17 (half of diameter)
A=πr^2
HOPE THIS HELPS PLZ MARK BRAINLIEST! :)
WILL GIVE BRAINLY NEED ASAP!!!!!!!
Identify the line indicated.
a
b
Line
is a transversal.
Answers
Answer: Line c is a transversal line.
Step-by-step explanation: A transversal is a line that crosses at least two other lines. In this case, line c crosses lines a and b.
The value 346.7812 rounded to the nearest hundredth is
346.7800
QQI 300
346.781
346.78
Answers
Answer:
346.78
Step-by-step explanation:
Rounding a number to hundredth means approximating or making the number after the second position of the decimal to either a 10 or zero.
Thanks for the number after the second is greater or equal to 5, it is rounded up to ten where the 1 is added to the second position if not it turns 0.
So 346.7812 to hundredth
= 346.78
How many books does Raine have? When: Raine has less than three dozen books. Raine has three types of books; 10 books are on Greek myths. Rain has eight more comic books than travel books. One fifth of Raine’s books are neither Greek myth nor comic books.
Answers
Answer:
the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .
Step-by-step explanation:
the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .
Which sequence of transformations was applied to the parent tangent function to create the function m(x) = 2tan(3x+4)
Answers
The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.
To determine the sequence of transformations, let's break down the given function:
1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.
2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.
3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.
4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.
5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.
In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.
Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.
After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)
This example helps illustrate the effect of the transformations on the graph of the function.
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Which graph represents the function f(x) = −|x − 2| − 1?
A.
B.
C.
D.
Answers
Tarea resuelta de matemática semana 32 3ro de secundaria.
Answers
Answer:
Solved math homework week 32 3rd of secondary school.
Felicidades
Step-by-step explanation:
When ordering the Kids' Lunch at Burger Universe, the customer must choose a size, a type of bun, a side order, and a type of fruit drink. Here are the possibilities for each choice. Choice Possibilities Size: junior, Small, Medium, Large Type of bun Plain bun, Sesame seed bun Side order Fries, Onion rings Fruit drink Orange, Grape, Cherry, Lemonade How many Kids' Lunches are possible?
Answers
The number of Kid's Launches that are possible is 128. This is solved using Combination Principle.
What is combination in Math?A combination in mathematics is a selection of elements from a set with distinct members, where the order of selection is irrelevant.
Hence,
The number of possible "Sizes" from the specified 4 sizes are ⁴C₁
The number of sorts of bun that is possible from the specified two bun types is: ²C₁
From the four sides, the number of possible side purchases is: ⁴C₁
Of the available four drinks, the number of the possible drinks is: ⁴C₁
Now the possible number of all lunches are:
⁴C₁ x ²C₁ x ⁴C₁ x ⁴C₁
= 4 x 2 x 4 x 4
= 128
Hence the number of Kid's Lunches that are possible are 128.
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HELP WHATS THE ANSWER
Answers
The surface area covered with stickers is 169.4 cm².
How to calculate the surface area of the paperweight?
We need to find the area of each face and then add them up for calculate the surface area of the paperweight,
We know,
Area of the rectangular base \(= length \times breadth = 17 cm \times 11 cm = 187 \: {cm}^{2} \)
Area of the triangular top = (1/2) x base x height = (1/2) × 15 cm × 8 cm × 7 cm / √((15/2)² - (8/2)²) = 42 cm²
Area of the front and back faces (which are rectangles) \(= 2 \times length \times height = 2 \times 17 cm \times 10 cm = 340 \: cm²\)
Area of the left and right faces (which are trapezoids) \(= ( \frac{1}{2} )(a+b) \times h \times 2 = ( \frac{1}{2} )(15 cm + 8 cm) \times 7 cm \times 2 = 91 {cm}^{2} \)
Area of the bottom face (which is a rectangle) \(= length \times breadth = 17 cm \times 11 cm = 187 cm²\)
Total surface area = 187 cm² + 42 cm² + 340 cm² + 91 cm² + 187 cm² = 847 cm²
To find the surface area covered with stickers, we need to calculate 20% of the total surface area:
Surface area covered with stickers \(=20\% \: of \: 874 \: {cm}^{2} = 0.2 \times 847 \: {cm}^{2} = 169.4 \: {cm}^{2} \)
Therefore, the surface area covered with stickers is 169.4 cm² approximately.
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