The function L = 0.8T2 models the relationship between L, the length in feet of a pendulum, and T, the period in seconds of the pendulum. Which value is closest to the period in seconds for a pendulum that is 30 ft long?
A) 5.4 s
B) 4.9 s
C) 6.8 s
D) 6.1 s
Please help A.S.A.P

Answers

Answer 1
L = (0.8) T^2
 
T^2 = L / 0.8
 
T = sqrt{ L / 0.8 }
 
T = sqrt{ 30 / 0.8 }
 
T = sqrt{ 37.5 }
 
T = 6.1 seconds
 
The correct answer is D) 6.1 seconds
Answer 2

Final answer:

Using the formula L = 0.8T², we find that a pendulum 30 ft long has a period of approximately 6.1 seconds, which corresponds to Option D.

Explanation:

The question is about finding the period, T, in seconds for a pendulum that is 30 ft long, using the formula L = 0.8T2. First, to solve for T given that L = 30, we rearrange the equation to T = √(L/0.8). Plugging in L = 30, we have T = √(30/0.8), which simplifies to T = √(37.5).

Calculating further, we find T ≈ 6.12 seconds. Therefore, the answer closest to the period in seconds for a pendulum that is 30 ft long is 6.1 seconds (Option D).


Related Questions

HELP ME OUT PLEASE I REALLY NEED SOME HELP ON THIS QUESTION PRETTY PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Identify a reflection about the x-axis or a reflection about the y-axis of ƒ(x) = x^4 + x by observing the equation of the function g(x) = x^4 – x.

I think it might be on the y axis

Answers

Viewing the two equations (by graphing them), we can see that the y axis is the vertical one and the x axis is the horizontal one. If something were to be reflected over the y axis, it would be flipped around x=0 and the x value of every point would be multiplied by -1. If it was reflected over the x axis (y=0), every y value would be multiplied by -1. Taking two points that have the same absolute values, e.g. (-1, 0) and (1, 0)  (by absolute values I mean that (|-1|, |0|)=(|1|, |0|)=(1, 0)) we can see that -1*-1=1 and 1*-1=-1. Since they are the x values, it is reflected across the y axis - you are correct!


3x^2+7x+3
+ 5x^2+12x

Answers

Answer:

8x^2+19x

Step-by-step explanation:

Simplify the expression by combining like terms. Terms which look a like and sound a like should be added together.

3x^2+7x+3+5x^2+12x

x^2 terms: 3x^2+5x^2=8x^2

x terms: 7x+12x=19x

constants: 3

Together is is 8x^2+19x+3.

John paid $100 for renting a canoe for 5 hours. Which graph shows the relationship between the cost of renting a canoe for different hours?

Answers

y = 20x

Hope this helps!

Answer:

Will be the second choice!

Step-by-step explanation:

This is because for 5hours is 100bucks correct?

So if we divide 5by100 it will equal 20.just like 5x20=10 we add and extra 0!

so 5x20=10.

Lavonne has 4/5 cup of blueberry muffins requires 1/3 cupof blueberrys how many batches of blueberry muffins can lovonne make

Answers

how many 1/3 cups blueberry can you get out of the 4/5 cup..

= (4/5) / (1/3)
= (4/5)*(3/1)
= 12/5
= 2 2/5 batches

The camera shop wants to use the measure of central tendency that expresses how successful they are in selling camaers which measure of central tendency should they chosse

Answers

The mean would typically be the best measure of determining the success of this business. Barring the presence of any outlier values, finding the average number of cameras sold per period (week, month, year, etc.) would give a better picture than the range or mode. The median could be used, but it is a bit less descriptive than the median in this instance.

22 1/2 percent to a fraction

Answers

=  22.5 / 100
= 45 / 200
Divide top and bottom by 5:-
= 9 / 40  answer

22 ½ % is equivalent to 9/40 as a fraction.

To express 22 ½ percent as a fraction, we need to convert the percentage to its decimal form and then simplify.

22 ½ % is equivalent to 0.225 in decimal form (since 22.5% = 22.5/100 =0.225).

Now, to convert the decimal to a fraction, we can write it as 225/1000. To simplify, we can divide both the numerator and denominator by 25:

[tex]\frac{225}{1000}=\frac{9 \times 25}{40 \times 25}=\frac{9}{40}[/tex]

The required answer is 9/40.

George's page contains twice as many typed words as Bill's page and Bill's page contains 50 fewer words than Charlie's page. If each person can type 70 words per minute, after one minute, the difference between twice the number of words on Bill's page and the number of words on Charlie's page is 220. How many words did Bill's page contain initially?

Answers

Given:
George's page contains twice as many typed words as Bill's page
Bill's page contains 50 fewer words than Charlie's page
each person can type 70 words per minute, after one minute, the difference between twice the number of words on Bill's page and the number of words on Charlie's page is 220

Let Charlie's page be x.
Let Bill's page be x - 50
Let George's page be 2(x-50)

After 1 minute:
Charlie's page: x + 70
Bill's page: x - 50 + 70
George's page: 2(x-50) + 70

Difference between George's page and Charlie's page is 220.

[2(x-50) + 70] - (x + 70) = 220
2x - 100 + 70 - x - 70 = 220
2x - x - 100 + 70 - 70 = 220
x - 100 = 220
x = 220 + 100
x = 320

Let Charlie's page be x. → x = 320
Let Bill's page be x - 50 → x - 50 = 320 - 50 = 270
Let George's page be 2(x-50) → 2(x-50) = 2(320-50) = 2(270) = 540 

Bill's page initially contained 270 words. 

Jon invests $4,100 into an account that pays 5 percent simple interest each year. What is the total balance in the account after 3 years?

Answers

Y=.05x +4100
Y=.05(3)+4100
Y=.15+4100
Y=4100.15

Which rigid transformation does NOT result in reversed orientation of the original image?

Answers

Reflection is a type of rigid transformation which will not result in reversed orientation because this transformation that uses a line that acts like a mirror, called the line of reflection, with an image reflected in the line.Orientation is not possible here.

Cindy is preparing for a 25-mile charity run hosted by her school's Athletic Club on their home track. In preparation for the run, Cindy has been running in 25-lap sets, recording her lap times as she goes. Cindy feels that she is very well prepared for the run. Looking at her scores, she can see that at least 75% of them are 90 seconds or better, with some as good as 82 seconds. But, she also knows that she has a couple of poor times, one as low as 102 seconds, that will make her total time a bit worse. To further analyze her lap times, Cindy would like to organize them in a box-and-whisker plot. Which of the following plots is most like what Cindy should expect to see, based on what she already knows?

Answers

From the information given it can be seen that the maximum value of the data is 102 while the minimum value is 82.

The Q1 value is 90

The box and whisker plot will have the tails of the whisker at 82 and 102, while one of the ends of the box will be at 90.
Should be A if its on edginuity the middle line should be on 90

Simplify. 14+4(12−34)2 Enter your answer in the box.

Answers

14 + 8(12-34)

14 + 8(-22)
14 - 176

- 162 is your answer

hope this helps

Answer:1/4+4(1/2−3/4)^2

Step-by-step explanation Its supposed to be a fraction but when you copy and paste it won't allow it to be fraction. Answer is 1/2

A man was scuba diving to look for coral reef in the ocean. He descended at a rate of 3 meters per minute. If he continued for 10 minutes, has far below the water’s surface would he be?

Answers

3m/min×10min = 30 meters

The right line is a translation of the left line 4 units to the right. Drag the left line and try to move it on top of the right line. Are these lines the same? What does this mean about how a line changes when you translate it?

Answers

yes they are the same.

 A line does not change when translated


 

Yes, the lines are same.

Here,

The right line is a translation of the left line 4 units to the right and Drag the left line and try to move it on top of the right line.

What is translation?

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

Clearly,

Line is not change when it translate.

So, the line are the same even though the right line is translation of the left line 4 units to the right. The function moves the line a certain distance. The line is not altered in any way so thus the lines are the same.

Hence, the lines are same.

Learn more about the translation visit:

https://brainly.in/question/16034934

#SPJ2

LITERALLY THE MOST HARDEST QUESTION TO EVER EXIST ON THIS PLANET AND QUITE POSSIBLY THIS DIMENSION IF DIMENSION QARPING WAS EVEN POSSIBLE LIKE IN RICK AND MORTY!

if f(x)=1/2 x-2 what is the value of f(4)

Answers

Plug in 4 for the value of x.

f(4)= 1/2(4)-2
f(4)= 2-2
f(4)= 0

Final answer: 0

Answer:

all you got 2 do is plug in 4 for the value of x.

Step-by-step explanation:

The ratio of boy to girls in a class is 3 : 2. there are 15 boys in the class. how many total boys and girls are in the class?
a.15
b.23
c.25
d.35

Answers

c is the answer to that

the answer is c. 25

expalnation: A 3:2 ratio can be used in a proportion.

3/2=15/girls, girls =15*2÷3=10.

10÷15=25

Need help Identify three solutions of the graph shown

Answers

The solutions are basically the points on the graph that the line passes through. The best way to pick them is to use the whole numbers that are on the corners of the little boxes instead of the middle.

(4, -5)
(3, -3)
(1, 1)
(0, 3)
(-1, 5)
and so on.

If 10 miles is about 16 kilometers and the distance between two towns is 45 miles, use a ratio table to find the distance between the towns in kilometers

Answers

It's 45mi:72 km

You set up a proportion 

10mi/16km = 45mi/x

multiply 16 and 45

so you are left with 720 = 10x

x = 72

PLEASE HELP ME !!
Abigail has $30.00 to buy groceries. She needs to buy some apples, some bananas, and 3 pounds of potatoes. Fuji apples are $1.79 a pound, bananas are $0.36 each, and potatoes are $2.99 for a 3 lb. bag. If a represents the number of pounds of apples Abigail buys and b represents the number of bananas she buys, which expression represents the amount of change she receives after her purchases? Choices are
A. 30.00-a-b
B. 1.79a + 0.36b+2.99
C. 30.00 – (1.79a + 0.36b + 2.99)
D. 30.00 + (1.79a + 0.36b + 2.99)

Answers

C. 30.00 - (1.79a + 0.36b + 2.99)      (I think that's correct)




Answer:

[tex]30-(1.79a+0.36b+2.99)[/tex]

Step-by-step explanation:

Let  a represents the number of pounds of apples Abigail buys

Cost of 1 pound of apple = $1.79

So, Cost of a pounds of apple = 1.79a

Let b represents the number of bananas she buys,

Cost of 1 pound of banana = $0.36

Cost of b pounds of banana = 0.36b

Abigail buys 3 pounds of potatoes

Cost of 3 pounds of potatoes = $2.99

So, Total cost = [tex]1.79a+0.36b+2.99[/tex]

Abigail has $30.00 to buy groceries.

So, the amount of change she receives after her purchases=[tex]30-(1.79a+0.36b+2.99)[/tex]

So,Option C is correct.

Hence The  expression represents the amount of change she receives after her purchases is [tex]30-(1.79a+0.36b+2.99)[/tex]

Find the coordinates of the midpoint of the segment with the given endpoints a (5,4), b (-3,2)

Answers

The coordinates of the midpoint of the segment would be (1, 3)

The Sum of 3 consecutive integers is 1,623

Answers

divide 1623 by 3

1623 / 3 = 541

now subtract 1 from that

541-1=540

then add one to 541, 541+1 = 542

540 + 541 + 542 = 1623

 the numbers are 540, 541, 542

x + (x+1) + (x+2) = 1623

3x = 1620

x = 540

540, 541, 542 is your answer

hope this helps

62 is 112% of what number? find the base and round to the nearest hundredth

Answers

1.12x=62 , 62/1.12 = x, x = 55.36

Answer: Hello there!

if 62 is the 112% of some number, this means that if the number is x; then the 100% of this number is x, and the 112% of this number is x + 0.12*x = 1.12*x

then this means that 62 = 1.12x

now we want to find the number x:

62 = 1.12x

x= 62/1.12 = 55.35714

now we need to round it to the nearest hundredth:

the hundredth place is the second number after the decimal point, in this case, is a 5, and we want to round it; if the next number is 5 or bigger, we round up, if it is less than 5, we round down.

We can see that the next number is a 7, so we should round up; then our number x is: 55.36

Let P be a point between points S and T on 2004-01-01-02-00_files/i0120000.jpg. If ST = 21, SP = 3b – 11, and PT = b + 4, solve for b.

Answers

Since P lies on the line ST, this means that the length of SP added to the length of PT will result in the length of ST
In other words:
length of SP + length of PT = length of ST
3b-11 + b+4 = 21
4b - 7 = 21
4b = 21+7
4b = 28
b = 28/4 = 7

Therefore:
SP = 3b-11 = 3(7)-11 = 21-11 = 10
PT = b+4 = 7+4 = 11

Olivia's work and solution to the equation -6x+ 11 =43 is shown. identify each error in Olivia's work and explain what she should have done instead . please help

-6x + 11 = 43
+ 11 +11
-6x =54
-6x/6 = 54/6
x =9

Answers

She had to subtract 11 from both sides of equation
-6x + 11 = 43
       - 11    - 11
-6x = 32
-6x/-6 = 32/-6
x = [tex]-5 \frac{1}{3} [/tex]

alex has twice as much money as jennifer. jennifer has $6 less than shannon. Together they have 54$. How much money does each have?

Answers

Final answer:

To solve this, set up a simple equation where X equals the amount of money Jennifer has. Alex has twice as much, and Shannon has $6 more than Jennifer. Solving the equation shows Jennifer has $12, Alex has $24, and Shannon has $18.

Explanation:

Let's define the amounts of money each person has. If Jennifer has X dollars, then Alex has twice as much, which means Alex has 2X dollars. Jennifer has $6 less than Shannon, meaning Shannon has X + $6. If you sum up all their money, it equals $54. So 2X (what Alex has) + X (what Jennifer has) + X + $6 (what Shannon has) equals $54.

This can be simplified to 4X + $6 = $54. When you subtract $6 from each side, you get 4X = $48. Next, you divide each side by 4 to solve for X, which leads to X = $12.

Jennifer has $12, Alex has 2*$12 = $24, and Shannon has $12 + $6 = $18.

Learn more about Solving Equations here:

https://brainly.com/question/18322830

#SPJ2

what's x^2+3x-3=0 in radical and decimal form

Answers

x^2+3-3=0
x^2+3-3: x^2
x^2=0
radical form

write an equation for each line. y intercept of -2,1, x intercept of 3.5

Answers

y = -2.1 , x = 3.5 the first line will be horizontal and the other will be vertical

Find the probability of pulling a yellow ball out of a box if the box contains two red balls, three yellow balls, and one green ball. A. 1/4 B. 1/3 C. 1/2 D. 3/4

Answers

There are 3 yellow balls and a total og 6 balls. 3/6 is equal to 1/2(c).

What is the approximate value of x?

Answers

The square root of 16 is 4. right next to 16 is 17, so the answer is 17

Hope this helps!

Answer:

The answer is 17.

Step-by-step explanation:

Let the number plotted be x.

The point plotted on number line is slightly more than 4.

And this number is the square root of x.

We know that [tex]\sqrt{16}[/tex] is 4.

And the given point is close to 4 or square root of 16.

So, the best possible and closest answer is 17.

The square root of 17 is 4.123.

Therefore, the answer is 17.

Help me please I don't understand

Answers

with what
Queenbee2005

M is the midpoint of CF for the points c(3,7) and f(5,5). Find MF

Answers

Final answer:

To find the length of MF, the distance formula is used after calculating the midpoint M of CF with coordinates C(3,7) and F(5,5), resulting in MF being √2 units.

Explanation:

The question asks to find the distance MF, where M is the midpoint of segment CF given the coordinates of the points C(3,7) and F(5,5). To find the coordinates of M, we need to use the midpoint formula:

Midpoint formula: M = ((x1 + x2)/2, (y1 + y2)/2)

Using the given points C(3,7) and F(5,5), we get:

M = ((3 + 5)/2, (7 + 5)/2) = (4, 6)

Now, we will use the distance formula to calculate MF:

Distance formula: D = √((x2 - x1)² + (y2 - y1)²)

Since M(4,6) and F(5,5) are the points in question, plugging in these values yields:

MF = √((5 - 4)² + (5 - 6)²) = √((1)² + (-1)²) = √(1 + 1) = √2

So, the length of segment MF is √2 units.

Other Questions
Mesopotamia is a word that refers to land between two rivers; the names of the rivers are: Two driverstom and jerryeach drive up to a gas station. before looking at the price, each places an order. tom says, "i'd like 10 gallons of gas." jerry says, "i'd like $10 worth of gas." what is each driver's price elasticity of demand? 4/9 times 3 in a fraction is?? Elyse folded a piece of paper in half 3 times. She then punched 3 holes in the paper. How many holes are in the paper she unfold it? How to calculate displacement in physics? Diagram 6(b)(i) shows a regular pentagon PQRST and a right-angled triangle RUV. Find the value of x. Find the quadratic function that is the best fit for f(x) defined by the table below Simplify the expression. 12 x [(9 + 6) / 3}A.38B.54C.60D.110 3.582x 10(-6) in standard form A triangle has a perimeter of 10x+2. Two sides have lengths of 5x and 2x+9. What is the length of the 3rd side Susan and John are buying cold drinks for a neighborhood picnic. Each person is expected to drink one can of soda. Susan says that if you multiply the unit price for a can of soda by the number of people attending the picnic, you will be able to determine the total cost of the soda. John says that if you divide the cost of a 12 pack of soda by the number of sodas, you will determine the total cost of the sodas. Who is right, and why? Who rescues the narrator from his prison? Choose all that apply. If you are outside during a tornado, what should you do to stay as safe as possible? get into the nearest car, and remain until the tornado passes get into the nearest mobile home, and remain until the tornado passes find a ditch and lie down flat at its lowest point, and remain there until the tornado passes get into the nearest building, and remain at the lowest level until tornado passes Which of the following is not an example of a limited data set? A. Geographic data B. Dates relating to an individual C. Unique identifying numbers D. Employment data What is the ph of a solution when the number of h+ ions equals the number of oh ions in the liquid? what is 1/8(8c+16)1/3(6+3c)?Thank you!! A kite flying in the air has a 12 ft line attached to it. Its line is pulled taut and casts an 11 ft shadow. Find the height of the kite. If necessary, round your answer to the nearest tenth. A hydrogen halide diffuses 1.49 times faster than HBr. This hydrogen halide is Which u.s. president acted as a defense lawyer for british soldiers charged with murder before the revolution? In Piet Mondrians abstract painting Broadway Boogie-Woogie, what inspired the artist to paint yellow lines? Steam Workshop Downloader