A cougar can run 25 miles per hour. A cheetah can run 55 miles per hour. if they both run at 3 hours full speed, how much farther will the cheetah run

Answers

Answer 1

Answer:

Step-by-step explanation:

( in 3hrs calculate distance)

,the cheetah will run 90 miles farther the cougar

pls mark my answer as the brainliest


Related Questions

If water flows 12 feet in 9 seconds through the turbine, how far will the water flow in 54 seconds? If the water continues to flow at this rate, how long will it take the water to travel 54 feet?

Answers

54/9 = 6
12 x 6 = 72
72 feet in 54 seconds
54/72 = 0.75
1 foot = 0.75 seconds
0.75 x 54 = 40.2 seconds to travel 54 feet

Answer:

40.5 sec

Step-by-step explanation:

The flow rate is (12 ft) / (9 sec), or 4/3 ft/ sec.

In 54 sec, the water will have moved

(4/3 ft/sec)(54 sec) = 72 ft.

If the flow rate is 4/3 ft/sec and the distance covered is 54 ft, we divide

54 ft by (4/3 ft/sec) to determine how long it takes the water to flow 54 ft:

   54 ft

---------------- = 40.5 sec

(4/3 ft/sec)

Which formula can be used to describe the sequence? –81, 108, –144, 192, ...

Answers

Answer:

a(n) = -81(-4/3)^(n - 1)

Step-by-step explanation:

The first term is -81.  From -81 we obtain the next term, 108, by multiplying -81 by -4/3.  Note how (-4/3)(108) = -144 as anticipated.

Thus, the common ratio is -4/3.

The explicit function for this geometric series is

a(n) = -81(-4/3)^(n - 1)

Answer:

C

Step-by-step explanation:

What is the sum of x?

Answers

Answer:

the answer is 40

Step-by-step explanation:

x+60

x=60-20

x=20

The answer: sum of x is 40.

Answer pls I can answer ur question maybe

Answers

Answer:

[tex]C=5\pi \approx15.71[/tex]

Step-by-step explanation:

The arc length of the semicircle is basically the circumference of it. Therefore, we can use the circumference formula.

The circumference of a full circle is:

[tex]C=2\pi r[/tex]

Therefore, the circumference of a semicircle is half of that (ignoring the diameter):

[tex]C=\pi r[/tex]

The radius is 5.

[tex]C=\pi (5)=5\pi \approx15.71[/tex]

The arc length is around 15.71 units.

Answer:

39.25

Step-by-step explanation:

5^2=25

25x3.14=78.5

78.5/2=39.25

is this right? i’ll give brainliest :)

Answers

It is.

[tex]x-10 \geq 0\\\\x \geq 10\\\\\\-5 +n< -6\\\\n < 5-6\\\\n< -1[/tex]

Answer:

Correctomundo!

Step-by-step explanation:

For x-10 > 0:

1. Add 10 to both sides. x- 10 + 10 > 0 + 10

x > 10

For -5 + n < -6:

1. Simplify both sides of the inequality.  n - 5 < -6

2. Add 5 to both sides. n - 5 + 5 < -6 + 5

n < -1

:)

Select all that apply. To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion. Which of the following proportions are correct? Please help! D:

Answers

Answer:

Hey there!

We can't compare two measurements without converting them to  the same units. Thus, we use proportions to make all the values into the same unit.

[tex]12.5 cm(\frac{10 milimeters}{1 centimeter})[/tex], which converts to centimetres to millimetres.

12.5 cm=125 mm.

Now, we can compare the values of 125 mm and 140 mm.

Clearly, we see that 140 mm is greater than 125 mm.

Let me know if this helps :)

Answer:

If this is your question:

Select all that apply.

To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion. Which of the following proportions are correct?

[tex]\frac{10 mm}{1 cm} = \frac{140 mm}{x} \\\\\frac{10 mm}{1 cm} = \frac{x}{140 mm} \\\\\frac{1 cm}{10 mm} = \frac{12.5 cm}{x} \\\\\frac{12.5 cm}{1 cm} = \frac{140 mm}{x} \\\\[/tex]

Then your answer is:

[tex]\frac{10 mm}{1 cm} = \frac{140 mm}{x} \\\\\frac{1 cm}{10 mm} = \frac{12.5 cm}{x}[/tex]    

I saw a lot of one answers, but the question is Select ALL that Apply

not just c or b

I hope this helped :))))) (●'◡'●)

PS: brainliest would be great but i'm not askin for it

Which inequality is represented by the graph

Answers

Answer:

(-2, 5) < x

Step-by-step explanation:

Answer:

2/5x-1.5 > 0

Step-by-step explanation:

Chelsey puts twelve colored pieces of chocolate candy in a bag. Three pieces are green, four pieces are yellow, two pieces are purple, and three pieces are red. She draws one piece of candy from the bag at a time and eats it.
A. What is the probability that Chelsey will draw out three pieces of candy in this order: red, green, yellow?
B. What is the probability that Chelsey will draw out three pieces of candy in this order: green, yellow, red?
C. What is the probability that Chelsey will draw out three pieces of candy in this order: yellow, red, green? D. Make a conclusion about how the order in which she draws out the red, green, and yellow pieces affects the probability.

Answers

The probabilities are as follows A.3/10, B. 1/5, C. 1/10, D.  2/5

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Letitia tells her son, Evan, to close his eyes and pick out one piece of candy from the package. Calculate the probability of selecting each colour of candy.

The probability will be calculated as:-

The probability that Chelsey will draw out three pieces of candy in this order: red, green, yellow

3/10

The probability that Chelsey will draw out three pieces of candy in this order: green, yellow, red

1/5

The probability that Chelsey will draw out three pieces of candy in this order: yellow, red, green

1/10

The order in which she draws out the red, green, and yellow pieces affects the probability.

2/5

To know more about probability follow

https://brainly.com/question/24756209

#SPJ2

HURRY FIRST GETS BRAINLLEST The diagram below shows a circular pizza with a diameter of 14 inches. The pizza is in a square box with side lengths of 16 inches. In square inches, how much of the box is empty? Use π = 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

pls do mark my answer as the brainliest..........

Step-by-step explanation

portion of square empty =  256 - 153.86 = 102.14cm^2

Point A is (-6,-5) Point C is (4,0) Find the coordinates of point B on AC such that the ratio of AB to BC is 2:3.

Answers

Answer:

(-2, -3)

Step-by-step explanation:

x coord. from -6 to 4 is 10 units / 5 parts = 2

point B is 2 units * 2 from point A, so x = -2

y coord. from -5 to 0 is 5 units / 5 parts = 1

point B is 2 units * 1 from point A, so y = -3

Answer:

(-2,-3)

Step-by-step explanation:

khan acdemy

What is the volume of the cylinder below?
1
1
4
5
A. 4577 units 3
B. 90 units
C. 367 units 3
D. 727 units 3

Answers

Answer:

36pi Units^3

Step-by-step explanation:

Slanted (oblique) cylinders have the same volume as standard (right) cylinders.  

V=pi r-squared h

V=pix3x3x4

V=36 pi Units cubed

Answer:

The correct answer is 36 pi units^3

Step-by-step explanation:

What is the simplified expression for 5 to the power of negative 3 multiplied by 2 to the power of 2 multiplied by 5 to the power of 6 whole over 2 to the power of 3 multiplied by 5 to the power of 2?

Answers

Answer

the third(5/2)

Step-by-step explanation:

[(5^(-3))*(2^2)*(5^6)]/[(2^3)*(5^2)]

=[(5^3)*(2^2)]/[(2^3)*(5^2)]

=[5^(3-2)]*[2^(2-3)]

=5*(1/2)

=5/2 or 2.5

Answer:

5/2

Step-by-step explanation:

Hope it helps!!

Btw it was right on the test!!

please answer need help with equation

Answers

Answer:

12

Step-by-step explanation:

We can use PEMDAS. First, we need to calculate the stuff in the parentheses, then the exponent, then the multiplication and finally, the addition.

1/3(4 · 3) + 2³

= 1/3 · 12 + 2³  -- Parentheses

= 1/3 · 12 + 8 -- Exponents

= 4 + 8 -- Multiplication

= 12 -- Addition

Based on the tables, what is the solution to the equation 2(3)X = 3x + 3? (4 points)
x = -1
x = 0
x = 1
X = 6

Answers

Answer: x=1

Step-by-step explanation:

When solving for x you must isolate the terms. In order to isolate the terms divide both sides by 3 in order to break up the 3x. that way you should have 2x=x+1 from there i will subtract the x from both sides, so i receive x=1.

X=1

Explanation:

2(3)x = 3x+3
6x=3x+3
3x=3
X=1

Please hurry!

Which best explains whether a triangle with side lengths 5 cm, 13 cm, and 12 cm is a right triangle?

Answers

Answer: the first one I’m pretty sure! Due to the hypotenuse being the longest length (13) and you would use the Pythagorean theorem

Step-by-step explanation:

The first one is the best

Isabella filled her pool with water at a constant rate. The table compares the remaining volume of water left to fill the pool (in liters) and the time since Isabella started filling the pool (in minutes).

Time (m) Remaining Volume (L)
4 148
6 112
8 76

What is the size of her pool?

Answers

Answer:

It was kinda hard to really understand your question but as of all the information that I received the answer is 220 liters

Step-by-step explanation:

PLEASE HURRY! ANSWER ASAP

Which two grids can be combined to get 140%?

Square A) A grid model with 100 squares with 1 square shaded.
Square B) A grid model with 100 squares with 15 squares shaded.
Square C) A grid model with 100 squares with 40 squares shaded.
Square D) A grid model with 100 squares with 100 squares shaded

A and B
A and C
B and D
C and D​

Answers

Answer: C and D

A.
1/100=0.01=1%

B.
15/100=0.15=15%

C.
40/100=0.40=40%

D.
100/100=1=100%

40% + 100% =140%

i hope this helps <3

On the graph of an exponential function representing growth what happens to the slope of the graph as X increases

Answers

Answer:

The slope of the graph will increase and get steeper.

Step-by-step explanation:

As x increases in an exponential growth graph, f(x) will have a larger value because the exponent value increases.

So, the graph will become steeper due to a larger slope.

The slope of the graph will increase and get steeper.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,m = Δy/Δx where, m is the slope

Given:

As we know that, all points on an exponential curve are always at a constant distance from one another because the slope of an exponential curve equals the constant rate of expansion.

The graph is not exponential if the slope is not constant.

So, In an exponential growth graph, f(x) will have a greater value as x grows as the exponent grows.

Consequently, a larger slope will cause the graph to grow steeper.

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ6

how do i measure the bounce height of a tennis ball released from a height of 150 cm?​

Answers

Answer:

You can use a slow motion camera and see clearly. You should probably put a meter ruler in the background so you can check the height

Step-by-step explanation:

A taxi driver charges a flat rate of $3.50 plus an additional $1.65 per mile. If Mohammad wants to spend, at most, $60, how far can he travel in the taxi cab?
Round your answer to the nearest mile.
O A. 34 miles
OB. 17 miles
C. 35 miles
D. 16 miles

Answers

Answer:

A. 34 miles

Step-by-step explanation:

First, you want to subtract $3.50 from $60. Now you have $56.50. Now you want to divide that by $1.65, to see how many miles you can achieve with your price limit. So, now you have a grand total of 34.24. You round that, and you finally have your answer.

The answer to this problem is A. 34 miles

The number of miles that he can travel in the taxi cab will be 17 miles. Then the correct option is B.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A cab driver charges a level pace of $3.50 in addition to an extra $1.65 per mile.

Let 'y' be the total amount and 'x' be the number of miles. Then we have

y = 3.50x + 1.65

If Mohammad wants to spend, at most $60. Then the number of miles is given as,

60 = 3.50x + 1.65

3.50x = 58.35

x = 16.67

x ≈ 17 miles

The number of miles that he can travel in the taxi cab will be 17 miles. Then the correct option is B.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

The interior ages of a triangle have measure
55,25", and x find the value of
these 3 problems ty

Answers

Answer:

See below in bold.

Step-by-step explanation:

1. The 3 angles in a triangle add up to 180 degrees.

So x = 180 - (55 + 25)

= 180 - 80

= 100 degrees.

2.  The 4 angles in a quadrilateral add up to 360 degrees,, so

3x + 127 + 54 + 119 = 360

3x + 300 = 360

3x = 360 - 300

3x = 60

x = 20 degrees.

3. Exterior angle

= 94 + 42

= 136 degrees.

Answer:
100 degrees just think about how all the angles in a triangle add up to 180 degrees

Suppose that a population begins at a size of 100 and grows continuously at a rate of 200% per year. Give the formula for calculating the size of that population after t years. Question 3 options: A) A = 100 + 2et B) A = 100e2t C) A = 100 + te2 D) A = 100 + e2t

Answers

The formula for calculating the size of the population after t years using continuous growth is [tex]A = 100e^{2t}[/tex], making option B the right choice.

Continuous growth in the initial amount P, after time period t, and at the rate of r per time period gives the final amount as: [tex]A = Pe^{rt}[/tex]

In the question, we are asked to suppose that a population begins at a size of 100, and grows continuously at a rate of 200% per year, and are asked for the formula for calculating the size of that population after t years.

The given case can be shown as a continuous growth, with:

Initial population, P = 100,

Rate of growth, r = 200% = 2, and,

The time period, t years.

Thus, the formula for calculating the size of that population after t years can be shown using the formula: [tex]A = Pe^{rt}[/tex], as:

[tex]A = 100e^{2t}[/tex].

Hence, the formula for calculating the size of the population after t years using continuous growth is [tex]A = 100e^{2t}[/tex], making option B the right choice.

Learn more about continuous growth at

https://brainly.com/question/20115298

#SPJ1

There were some people on a train. 19 people got off the train at the first stop. 17 people get on the train. Now there is 63 people on the train. How many people were on the train to begin with?

Answers

Answer:

65 people.

Step-by-step explanation:

We have to work backwards.

We end with 63 people, and at the stop we lost 19 people and gained 17.

[tex]x - 19 + 17 = 63\\[/tex]; if x = # people at the beginning

[tex]x - 19 + 17 = 63\\x - 2 = 63\\x = 65[/tex]

There were 65 people on the train to begin with.

Answer:

65 people

Step-by-step explanation:

Well, we need to work backward,

63 on the train and 17 got on so we do 63 - 17 = 46

Then 19 got off so 46 + 19 = 65

Hence, 65 people were on the train on the first stop.

Which of the following theorems verifies that WXY=PME?

A. HA
B. HL
C. LA
D. AA

Answers

Answer: B.  HL

HL = hypotenuse leg

We see that WX = PM are the congruent legs (they are the same length due to the similar single tickmark). Also, XY = ME is the congruent pair of hypotenuses. The HL rule only works for right triangles, as the term "hypotenuse" would not apply for a non-right triangle.

The theorem used is HL.

What is theorem?

A theorem is a statement which has been proved true by a special kind of logical argument called a rigorous proof.

Given:

In both triangles

XW = MP  (given)

XY = ME (given)

As, hypotenuse of both triangle is equal and leg of one right triangle are congruent to the hypotenuse.

Learn more about this concept here:

https://brainly.com/question/16967523

#SPJ2

The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations?

Answers

Answer:

[tex]3x + 13y = 14[/tex]

[tex]6x + 11y = -2[/tex]

Step-by-step explanation:

See Attachment for complete question

To determine which of the options has (-4,2) as its solution; we have to test each linear combination until we arrive at an answer;

Given that

[tex](x,y) = (-4,2)[/tex]

Testing Option A

[tex]3x + 13y = 14[/tex]

[tex]6x + 11y = -2[/tex]

Substitute [tex]x = -4[/tex] and [tex]y = 2[/tex] in [tex]3x + 13y = 14[/tex]

[tex]3(-4) + 13(2) = 14[/tex]

Open Brackets

[tex]-12 + 26 = 14[/tex]

[tex]14 = 14[/tex]

Substitute [tex]x = -4[/tex] and [tex]y = 2[/tex] in [tex]6x + 11y = -2[/tex]

[tex]6(-4) + 11(2) = -2[/tex]

Open Brackets

[tex]-24 + 22 = 2[/tex]

[tex]2 = 2[/tex]

In both cases, the expression on the right hand side equates to that on the left hand side;

Hence, there's no need to check for other options.

I WILL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!! Which equation does the graph below represent? y = −2x y = x y = 2x y = x (click the picture below)

Answers

Answer:

y = -2x

Step-by-step explanation:

Some points are (1,-2) , (2, -4), and (3,-6).

From these three points, we can try each of the equations to see what is correct.

If y = -2x

-2 = (-2)1

-4 = (-2)2

-6 = (-2)3

If y = x

-2 ≠ 1

-4 ≠ 2

-6 ≠ 3

If y = 2x

-2 ≠ 2(1)

-4 ≠ 2(2)

-6 ≠ 2(3)

The outside of this set of four cubic blocks with no space between blocks is painted. What is the number of painted square faces?

Answers

Answer:

18

Step-by-step explanation:

There would be four faces on the top, left, bottom, and right.  That equals 16.  (4x4)

There would also 1 on each end, so you have to add 2.  That equal 18.

This is assuming you paint the faces on the bottom.  If you didn’t, the answer would be 14.  (But it doesn’t say not to paint them.)

Given: P∈ BC , Pabc = 45, Pabp = 30, Papc = 35. Find AP.

Answers

Answer:

  10

Step-by-step explanation:

  Pabp = AB +BP +AP

  Papc = AP +PC +CA

So the sum of perimeters of the two smaller triangles is ...

  Pabp +Papc = AB +BP +AP + AP +PC +CA

  = (AB +BP +PC +CA) +2AP

  = Pabc +2AP

Filling in numbers, we have ...

  30 +35 = 45 +2AP

  20 = 2AP . . . . subtract 45

  10 = AP . . . . . . divide by 2

The length of AP is 10 units.

9. Find P(rolling 1 or 5) with one number cube.

Answers

Answer:

1/3

Step-by-step explanation:

There are 6 possible outcomes when rolling 1 die

1,2,3,4,5,6

P ( 1 or 5) = number of times 1 or 5 happens / total outcomes

               = 2/ 6

               = 1/3

let f(x)= 8x³ + 16x² -15 and g(x) = 2x+1. f(x)/g(x).

4x²+6x-3+12/2x+1. 4x²+6x+3+12/2x+1. 4x²+6x-3-12/2x+1. 4x²+6x+3-12/2x+1​

Answers

Answer:

f(x)/g(x) = 4x^2+6x-3  remainder -12

or

f(x)/g(x) = (4x^2+6x-3)/(2x+1) + (-12)/(2x+1)

or

((4x²+6x-3)-12)/(2x+1)

Step-by-step explanation:

f(x)= 8x³ + 16x² -15

g(x) = 2x+1.

Using long division,

f(x)/g(x) = 4x^2+6x-3  remainder -12

Other Questions
Which of the following statements are true? (mark all that apply)a) Light is a form of energy.b) The rate of flow of energy is measured in Watts.c) White light is made of all the colors of the rainbow and can be split to show them all including shades of gray all the way to blackd) Black is the absence of light. If x = 2, y = 8, find (i) x+y (ii) y Select the correct answer.Which was a building technique introduced by the Romans?Rd Suppose an American buys stock issued by an Argentinian corporation. The Argentinian firm uses the proceeds from the sale to build a new office complex. This is an example of foreign ___________ in Argentina. 1. Which of the following policies are consistent with the goal of increasing productivity and growth in developing countries?a. Protecting property rights and enforce contractsb. Providing tax breaks and patents for firms that pursue research and development in health and sciences.c. Increasing taxes on income from savingsd. Imposing restrictions on foreign ownership of domestic capital.2. In less developed countries, what does the brain drain refer to?a. The emigration of highly skilled workers to rich countriesb. Lower productivity due to a malnourished workforcec. Rapid population growth that increases the burden on the educational systemd. Rapid population growth that lowers the stock of capital per worker Give the electron configuration for the following atoms using appropriate noble gas inner core abbreviation: Bi Cr Sr P 2. Give a set of 4 possible quantum numbers for the most energetic electron(s) of: Bi Cr Sr P n = l = ml = ms = 3. What is the symbol and name of the element with the following electron configuration? (Q030) All members of the nuclear receptor family Group of answer choices are cell-surface receptors. do not undergo conformational changes. are found only in the cytoplasm. interact with signal molecules that diffuse through the plasma membrane. Which of the following is true? A. Singular subjects sometimes end B. Plural verbs end in s. C. Some verbs are made plural by adding -es or by changing ay toi and adding -es D. All of the above in the number 23.45 the digit 5 is in ? What is Cognitive Behavioural Therapy? Multiply (2.0 104) (3.1 1020). Express the answer in scientific notation. 6.2 1080 6.2 1024 6.2 1024 6.2 1080 What is the weight (in grams) of a liquid that exactly fills a 202 milliliter container if the density of the liquid is 0.685g/mL? Round to the nearest hundredth Determine the perimeter and area of the red portion of the 2 dimensional figure below, given the circle diameter of 7 cm and the perimeter of the entire figure is 42 cm. Round if necessary Your firm has $45.0 million invested in accounts receivable, which is 90 days of net revenues. If this value could be reduced to 50 days, what annual increase in income would your firm realize if the increase in cash could be invested at 7.5 percent? Use the following information to answer questions 2 and 3: You have been asked to establish a pricing structure for radiology on a per-procedure basis. Present budgetary data is presented below: Number of Budgeted Procedures 10,000 Budgeted Cost $400,000 Desired Profit $ 80,000 It is estimated that Medicare patients comprise 40 percent of total radiology volume and will pay on average $38.00 per procedure. Approximately 10 percent of the patients are cost payers. The remaining charge payers are summarized below: Payer Volume % Discount % Blue Cross 20 4 Unity 15 10 Kaiser 10 10 Self-Pay 5 40 50% Week 3 Assignment Image 2. If the forecasted volume increased to 12,000 procedures and budgeted costs increased to $440,000, while all other variables remained constant, what price should be established? 3. Assume that the only change in the original example data is that Blue Cross raises their discount to 20 percent. What price should be set? You are getting ready to carry a firearm on a boat. What is the first step you should take? Put the firearm's safety on. Hand the firearm to a person in the boat. Unload the firearm, and keep the action open. Place the firearm in the rear of the boat with its muzzle pointing forward. The factory quality control department discovers that the conditional probability of making a manufacturing mistake in its precision ball bearing production is 4 % 4\% 4% on Tuesday, 4 % 4\% 4% on Wednesday, 4 % 4\% 4% on Thursday, 8 % 8\% 8% on Monday, and 12 % 12\% 12% on Friday. The Company manufactures an equal amount of ball bearings ( 20 % 20\% 20%) on each weekday. What is the probability that a defective ball bearing was manufactured on a Friday? 1) ambiguous /contributor / Immune / browse/ boost / provoke / inhibit/ displace/ my raidFill in the blanks with those word 1) aviation is considered to be the fastest growing ___ the global warming. 2) i was ____ ing through the fashion magazines to find a new hair style. 3) it is not clear whether people have been infected with coronavirus are already ___ virus for the rest of their lives. 4) passing my driving test was such a ____ to my confidence . It is the third time i have taken it. 5) the idea of defunding the police ___ d a widespread criticism among many politicians. 6 ) cancer patients are optimistic about the new drug that ___ s the growth of tumors. 7) coal has been ___ d by natural gas as a major source of energy, it is not used any more in most places. 8) A ____ of bears and hotels are opening along the coast. f(X) x-2/2 find FF(X) define motion also justify that rest and motion are related terms Present value with periodic rates. Sam Hinds, a local dentist, is going to remodel the dental reception area and add two new workstations. He has contacted A-Dec, and the new equipment and cabinetry will cost $25 comma 000. The purchase will be financed with an interest rate of 10% loan over 6 years. What will Sam have to pay for this equipment if the loan calls for semiannual payments (2 per year) and monthly payments (12 per year)? Compare the annual cash outflows of the two payments. Why does the monthly payment plan have less total cash outflow each year? What will Sam have to pay for this equipment if the loan calls for semiannual payments (2 per year)? SOMEONE PLSSSS HELPPPP. When under equal tension, the frequency of a vibrating string in a piano varies inversely with the string length. If a string that is 410 millimeters in length vibrates at a frequency of 515 cycles a second, at about what frequency will a 705-millimeter string vibrate?