Answer:
[tex]L=\dfrac{g}{4\pi^2 f^2}[/tex]
Step-by-step explanation:
The equation to calculate the period of a simple pendulum is: [tex]T=2\pi \sqrt{\frac{L}{g} }[/tex]
Where:
T is the periodL is the length of the rod; and g is the acceleration due to gravity.Likewise, Frequency (f) of the pendulum [tex]f=\frac{1}{T}[/tex] therefore [tex]T=\frac{1}{f}[/tex]
We want to express L in terms of g and f.
From
[tex]T=2\pi \sqrt{\frac{L}{g} }[/tex]
[tex]T=\frac{1}{f}[/tex]
[tex]\frac{1}{f}=2\pi \sqrt{\frac{L}{g} }\\$Divide both sides by 2\pi\\\dfrac{1}{2\pi f}=\sqrt{\dfrac{L}{g} }\\$Square both sides\\\left(\dfrac{1}{2\pi f}\right)^2=\dfrac{L}{g}[/tex]
[tex]\dfrac{1}{4\pi^2 f^2}=\dfrac{L}{g} \\$Multiply both sides by g\\Therefore: L=\dfrac{g}{4\pi^2 f^2}[/tex]
Please help!
You pick a card at random. Without putting the first card back, you pick a second card at random.
What is the probability of picking a 3 and then picking a 5?
Simplify your answer and write it as a fraction or whole number.
Answer:
You have three card : 3, 4, and 5.
You first pick one card randomly, the probability of picking a 3 is:
P = 1/3
You then pick a second card without putting the first card back, the probability of picking a 5 is:
P = 1/2
=> The probability of picking a 3 and then picking a 5:
P = (1/3) x (1/2) = 1/6
Hope this helps!
:)
Find the circumferences of the two circles circle a has a radius of 21 meters and circle b has a radius of 28 meters Is the relationship between the radius of a circle and the distance around the circle the same for all circles
Answer:
The circumference for circle a is [tex] \\ C = 131.9430[/tex]m.
The circumference for circle b is [tex] \\ C = 175.9240[/tex]m.
The relationship between the radius of a circle and the circumference (the distance around the circle) is constant and is the same for all circles and can be written as [tex] \\ \frac{C}{r} = 2\pi[/tex] or, in a less familiar form, [tex] \\ \frac{r}{C} = \frac{1}{2\pi}[/tex]. The number [tex] \\ \pi[/tex] is constant for all circles and has infinite digits, [tex] \\ \pi = 3.14159265358979....[/tex].
Step-by-step explanation:
The circumference of a circle is given by:
[tex] \\ C = 2*\pi*r[/tex] [1]
Where
[tex] \\ C[/tex] is the circle's circumference.
[tex] \\ r[/tex] is the radius of the circle.
And
[tex] \\ \pi = 3.141592....[/tex] is a constant value (explained below)
We can say that the distance around the circle is the circle's circumference.
The circumferences of the two circles given are:
Circle a, with radius equals to 21 meters ([tex] \\ r = 21m[/tex]).
Using [1], using four decimals for [tex] \\ \pi[/tex], we have:
[tex] \\ C = 2*\pi*r[/tex]
[tex] \\ C = 2*3.1415*21[/tex]m
[tex] \\ C = 131.9430[/tex]m
Then, the circumference for circle a is [tex] \\ C = 131.9430[/tex]m.
Circle b, with radius equals to 28 meters ([tex] \\ r = 28m[/tex]).
[tex] \\ C = 2*3.1415*28[/tex]m
[tex] \\ C = 175.9240[/tex]m
And, the circumference for circle b is [tex] \\ C = 175.9240[/tex]m.
We know that
[tex] \\ 2r = D[/tex]
That is, the diameter of the circle is twice its radius.
Then, if we take the distance around the circle and we divided it by [tex] \\ 2r[/tex]
[tex] \\ \frac{C}{2r} = \frac{C}{D} = \pi[/tex]
This ratio, that is, the relationship between the distance around the circle (circumference) and the diameter of a circle is [tex] \\ \pi[/tex] and is constant for all circles. This result is called the [tex] \\ \pi[/tex] number, which is, approximately, [tex] \\ \pi = 3.141592653589793238....[/tex] (it has infinite number of digits).
We can observe that the relationship between the radius of a circle and the circumference is also constant:
[tex] \\ \frac{C}{2r} = \frac{C}{D} = \pi[/tex]
[tex] \\ \frac{C}{2r} = \pi[/tex]
[tex] \\ \frac{C}{r} = 2\pi[/tex]
However, this relationship is [tex] \\ 2\pi[/tex].
We can rewrite it as
[tex] \\ \frac{r}{C} = \frac{1}{2\pi}[/tex]
And it is also constant.
Answer:
Circle A is 42π
circle C is 56π
Darryl is a plumber. He charges $35 to make a service call and $20 an hour for any repairing. Write an algebraic equation relating Darryl’s charge to the total number of hours of labor required.
Answer:
Y= 20x+35
Step-by-step explanation
This is the eqaution, because the amount of hours he works is x and the phone call are an added plus. Add them together and youll get y
с
60 mm
25 mm
What is the length of the hypotenuse?
Answer:
65mm
Step-by-step explanation:
From the Pythagorean theorem, we can write it as sqrt(60^2+25^2) which is 65.
which expression has the fewest number of significant figures
A 296.54
B 5003.1
C 18.3
D 360.01
Answer:
18.3
18.3 only has three significant figures while the other numbers have more
Solving a two-step equation for y
5y + 12 = 32
a
y=5
b
y=6
c
y=8.8
d
y=4
HOW DO I START?
Don't worry, you know that this problem only has two small steps, and it's done, it should take less than 45 seconds to complete.
WE ALWAYS WANT TO ISOLATE THE VARIABLE TO FIND Y: MAKE IT BE ALONE!
STEP 1: Subtract 12 from both sides, to start getting 5y alone.
NOW YOU HAVE: 5y = 20
STEP 2: Divide by 5 from both sides, to get the Y fully alone.
NOW YOU HAVE: y = 4
Hopefully this helped!
can someone help me with exercise 1 please
Answer:
A) 5X+6=2X+30
6 = -3X+ 30 (Subtracted 5X from both sides)
-24 = -3X (Subtracted 30 from both sides)
8 = X (divide -3 from both sides)
B) Isolate the variable by dividing each side by factors that don't contain the variable. x = 8
{(9c^6)(3c^6)}=(9c
6
)(3c
6
)
Answer: 33c12
Step-by-step explanation:
Answer: 27c^12
(9c^6)(3c^6) = 27c^12
Step-by-step explanation:
your friend paid $17 for a shirt. This amount was 85% of the total amount your friend spent while shopping. How much did your friend spend
Answer:
20$
Step-by-step explanation:
[tex]17 \div \frac{85}{100} = 17 \times \frac{100}{85} = 20[/tex]
Which pyramid has a greater volume and how much greater is its volume?
8 in
4 in
.
9 in
6 in.
8 in
10 in
A) The volume of the pyramid on the left is greater by 8 in
B) The volume of the pyramid on the left is greater by 24in.
C) The volume of the pyramid on the right is greater by 8 in.
D) The volume of the pyramid on the right is greater by 24 in
Answer:
A)
Step-by-step explanation:
I did the test and got it correct please mark brainliest. I know it is correct.
The ratio of the side lengths of Figure A to the side lengths of Figure B is 3 : 5. The area of the smaller figure is 36 square inches. What is the area of the larger figure?
Seller Andy require a 2.5% deposit on all offers. Buyer josh wants to offer $452,000 for the property. The property was appraised at $465,000. What must the earnest money deposit be if Josh presents his current offer?
Answer: $11,300
Step-by-step explanation:
Given the following :
Buyer Josh's offering price = $452,000
Required deposit rate = 2.5%
Earnest money deposit is the product of :
Offering price × required deposit accepted
$452,000 × 2.5%
$452,000 × 0.025 = $11,300
A baseball team played 82 games. The team won 7 more than twice as many games as it lost. The equation l+2l+7=82 models this relationship, where l is the number of games lost. How many games did the team lose? How many games did the team win?
Answer:
The team lost 25 games and won 57.
Step-by-step explanation:
I am going to say what:
w is the number of games won.
As the problem states, l is the number of games lost.
The team won 7 more than twice as many games as it lost.
This means that [tex]w = 2l + 7[/tex]
A baseball team played 82 games.
This means that:
[tex]w + l = 82[/tex]
[tex]2l + 7 + l = 82[/tex]
[tex]3l = 75[/tex]
[tex]l = \frac{75}{3}[/tex]
[tex]l = 25[/tex]
And
[tex]w = 2l + 7 = 2*25 + 7 = 57[/tex]
The team lost 25 games and won 57.
School polo shirts come in small, medium, large, and extra large. They are available in 3 colors: red, blue, and green. What is the probability of choosing a large blue shirt?
There are eight black socks six blue socks and 14 White Sox in a drawer if one sock is randomly chosen from the drawer than what is the probability that the sock not be blue
Answer:
The probability that the socks picked is not blue is 11/14
Step-by-step explanation:
In this question, we are to calculate that a socks selected from random from the group of socks given in the question is not a blue socks.
This means the socks would either be a black or a white socks
Firstly, we find the total number of socks = 8 + 6 + 14 = 28 socks
Now the probability of picking a blue socks will be 6/28 = 3/14
We must understand that the probability of not picking a blue socks = 1 - the probability of picking a blue socks
Thus, the probability of not picking a blue socks will be 1 - 3/14 = 11/14
Answer:
The probability that a sock chosen at random is not blue P = 11/14 = 0.786
Step-by-step explanation:
Probability is the chances of getting a particular outcome.
Given:
Black socks = 8
Blue socks = 6
White socks = 14
Total = 8+6+14 =28
The probability that a sock chosen at random is not blue P;
P = number of non-blue socks ÷ total number of socks
Number of non blue socks = black + white socks = 8+14 = 22
Substituting the values;
P = 22/28 = 11/14
P = 11/14 = 0.786
16x-420>-100 I need help please
Answer:
x>20
Step-by-step explanation:
Answer:
[tex]x > 20[/tex]
Step-by-step explanation:
[tex]16x - 420 > - 100 \\ 16x > - 100 + 420 \\ 1 6x > + 320 \\ \frac{16x}{16} > \frac{320}{16} \\ x > 20[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Formula for the area of a face of a cube: A = length x width
Let's find the area of one face.
A = 5 x 5
A = 25
Now, let's multiply the area of one face by 6 because a cube has 6 faces.
25 x 6 = 150
A = 150 square centimeters
Hope this helps! :)
What is the area of the composite figure?
A. (6pi + 4) cm
B. ( 6pi + 16) cm
C. ( 12pi + 4) cm
D. ( 12pi + 16) cm
Answer:
16 + 6pi cm
Step-by-step explanation:
We have a square of length 4 cm
A = s^2 = 4^2 = 16
We have 3 semi circles
with radius 2
A semi circle has an area of
1/2 pi r^2 = 1/2 pi (2)^2 = 1/2 (4pi) = 2pi
There are 3 of them
3 * 2 pi = 6pi
Add the areas together for the square and the semicircles
16 + 6pi
Answer:
(6pi + 4) cm^2
Or just A/ first option
PLEASE HURRY!!!!!!!
1) Find the 8th term of the sequence.
6, 12, 24, 48, 96,.......
It would be 768 because you just keep multiplying by 2.
Answer:768
Step-by-step explanation:
Multiply by 2
For example:
6 at the start(6 × 2 ) 12 then 12 × 2 and so on
While shopping for clothes, Tracy spent $26 less than 2 times what Curtis spent. Tracy spent $12. Write and solve an equation to find how much Curtis spent. Let x represent how much Curtis spent.
Answer:
Curtis spent $76
(x=76)
Step-by-step explanation:
12 +26
Tracy spent 12 dollars, which was 26 dollars less two times what Curtis spent
(38)2
You then take 12+26 and multiply it by 2
76
brainliest pls?
Find the slope of the line graphed
Answer:
The slope is 3/2
Step-by-step explanation:
To find slope you do rise over run
Rise being how much you go up or go down
Run being how much you move sideways
Always measure Rise first, it is the numerator and then Run as the denominator.
Answer:
m= 3/2.
Step-by-step explanation:
To find the slope, use the two points shown in the graph which as (-1, 2) and (1, 5). Plug these into the slope formula [tex](m= \frac{y_{2}-y_{1} }{x_{2}-x_{1}} )[/tex]
[tex]m= \frac{5-2 }{{1+1}}[/tex]
[tex]m= \frac{3}{2}[/tex]
Therefore, the slope of the graph is 3/2.
What is the kinetic energy of a 44kg cheetah running at 50 m/s?
Answer:
55,000 Joules,
Step-by-step explanation:
Kinetic energy = 1/2 *mass * velocity^2
= 1/2 * 44 * 50^2
= 55,000 Joules,
44 students completed some homework and the histogram shows information about the times taken. Work out an estimate of the interquartile range. In your working you must show the lower and upper quartiles
Answer:
19 mins
Step-by-step explanation:
1.4 × 5 = 7
0.8 × 10 = 8
1.4 × 10 = 14
1 × 15 = 15
15 + 14 + 8 + 7 = 44
44 / 4 = 11
Lower Quartile of 44 = 11
Lower Quartile = 10 minutes
11 × 3 = 33
Upper Quartile = 29 minutes
The Range is 19 minutes
The Range is 19 minutes.
What is histogram?A histogram is an approximate representation of the distribution of numerical data.
Here, we have,
1.4 × 5 = 7
0.8 × 10 = 8
1.4 × 10 = 14
1 × 15 = 15
15 + 14 + 8 + 7 = 44
44 / 4 = 11
Lower Quartile of 44 = 11
Lower Quartile = 10 minutes
11 × 3 = 33
Upper Quartile = 29 minutes
The Range is 19 minutes
To learn more on histogram click:
https://brainly.com/question/17145899
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solve for n
-7+2/3n = 13
Answer:
[tex]- 7 + \frac{2}{3}n = 13 : n = 30[/tex]
Step-by-step explanation:
[tex]-7+\frac{2}{3}n=13[/tex]
Add [tex]7[/tex] to both sides:
[tex]-7+\frac{2}{3}n+7=13+7[/tex]
Simplify:
[tex]\frac{2}{3}n=20[/tex]
Multiply both sides by [tex]3[/tex]:
[tex]3 * \frac{2}{3}n=20 * 3[/tex]
Simplify:
[tex]2n=60[/tex]
Divide both sides by [tex]2[/tex]:
[tex]\frac{2n}{2}=\frac{60}{2}[/tex]
Simplify:
[tex]n = 30[/tex]
Hope I helped. If so, may I get brainliest and a thanks?
Thank you. Have a good day! =)
Please help!
Zack deposited $9,129 in a savings account earning 5% interest, compounded annually.
To the nearest cent, how much will he have in 5 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Given Information:
Principle amount = P = $9,129
Interest rate = r = 4% = 0.05
Period in years = t = 5
Required Information:
Balance in 5 years = ?
Answer:
Balance in 5 years = $11,651.17
Step-by-step explanation:
Using the formula given in the question,
[tex]B = P(1 + r )^{t}[/tex]
Where B is the final amount, P is the initial amount, r is the interest rate and t is the number of years
[tex]B = P(1 + r )^{t}\\\\B = 9,129(1 + 0.05)^{5}\\\\B = 11,651.17[/tex]
Therefore, Zack will have $11,651.17 in 5 years by investing $9,129 in a savings account at 5% annual interest.
Nadia drew a design for a copper wire sculpture as shown above.She plans to make a wire frame that includes the perimeter of the square and the circumference of the circle.She has 5 feet of copper wire.Does she have enough wire for the sculpture?
Answer:
She does not have enough wire.
Step-by-step explanation:
The complete question included a design for her sculpture. It is a circle inscribe in a square and the length of the square is 9 inches. The picture above describe the design.
She has in possession a 5 ft of copper to construct a circle inscribe in a square.
The square is 9 inch length.
Perimeter of the square = 4L
where
L = length
Perimeter of the square = 4 × 9
Perimeter of the square = 36 inches
Circumference of a circle = 2πr
r = diameter/2 = 9/2 = 4.5 inches
Circumference of a circle = 2 × π × 4.5
Circumference of a circle = 2 × 4.5 × 3.14
Circumference of a circle = 9 × 3.14
Circumference of a circle = 28.26 inches.
The sculpture will consume 36 inches for the square and 28.26 inches for the circle. The total length for the sculpture will be 36 + 28.26 = 64.26 inches.
She has 5 ft copper for the sculpture . Let us covert the inches to ft to know if the copper wire is enough.
12 inches = 1 foot
64.26 inches = ?
cross multiply
wire required for the sculpture = 64.26/12
wire required for the sculpture = 5.355 ft
She does not have enough wire.
Answer:
No she does not have enough
Step-by-step explanation:
What is 434 divided by 6 and round it up to the nearest tenth
Answer:
The answer is 72.3
Step-by-step explanation:
Please help me I need help in this please help me and thank you
Answer:
i think we need the
Step-by-step explanation:
coordinates to be able to plot it
Agent Hunt is transferring classified files from the CIA
mainframe to his flash drive.
The variable S models the size of the files on the drive
(in megabytes) after t seconds of transfer.
S= 5t +45
How many megabytes does Agent Hunt transfer
every 10 seconds?
Answer:
50MB.
Step-by-step explanation:
Its on Khan Academy lol. Good luck on your unit test!!!
Answer:
50
Step-by-step explanation:
Khan Academy is never wrong >3>
Which one of these grids is shaded red and blue in the ratio 1 : 1/3 ?
The grid among the answer choices which is shaded 1 : 1/3 is; Choice A.
Which Grid is shaded red and blue in the ratio 1 : 1/3 ?It follows from the task content that the ratio of red to blue in each grid is as follows;
Choice A; 9 : 3 = 1 :1/3Choice B; 8 : 4 = 1 : 1/2Choice C; 7 : 5Choice D; 10 : 2 = 5: 1Choice E; 3: 9 = 1: 3Choice F; 6:6 = 1 : 1On this note, it therefore follows that the grid with the required ratio is Choice A.
Read more on ratios;
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