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Bad White [126]
3 years ago
7

The equation d=11cos(8pi/5 t) models the horizontal distance, d, in inches of the pendulum of a grandfather clock from the cente

r as it swings from right to left and left to right as a function of time, t, in seconds. According to the model, how long does it take for the pendulum to swing from its rightmost position to its leftmost position and back again? Assume that right of center is a positive distance and left of center is a negative distance. 0.625 seconds 0.8 seconds 1.25 seconds 1.6 seconds
Mathematics
2 answers:
Bond [772]3 years ago
7 0

Answer:

1.25 seconds

Step-by-step explanation:

Cosine is a maximum at cos(0) = 1, and a minimum at cos(π) = -1.

At the maximum:

8π/5 t = 0

t = 0

At the minimum:

8π/5 t = π

t = 5/8

t = 0.625

The time from maximum to minimum is 0.625 seconds.  Therefore, the time from minimum back to maximum is also 0.625 seconds.  So the total time is:

0.625 + 0.625 = 1.25

densk [106]3 years ago
5 0

Answer:

1.25 seconds

Step-by-step explanation:

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The function C(L) = |L – 105| can be used to determine the difference between the expected and actual crop of lemons, L, from a
REY [17]

Answer:

w(C(L))= 0.25 |L - 105|

Step-by-step explanation:

you plug in C(L) into  L in w(L)

7 0
3 years ago
Please help asap find f -1
ExtremeBDS [4]
I.
Given a function f with domain D and range R, and the inverse function 
f ^{-1},

then the domain of f ^{-1} is the range of f, and the range of f ^{-1} is the domain of f.

II. We are given the function f(x)= \sqrt{x-5},

the domain of f, is the set of all x for which \sqrt{x-5} makes sense, so x is any x for which x-5\geq0, that is x≥5.

the range is the set of all values that f can take. Since f is a radical function, it never produces negative values, in fact in can produce any value ≥0

Thus the Domain of f is [5, ∞) and the Range is [0, ∞)
then , the Domain of f ^{-1} is [0, ∞) and the Range of f ^{-1} is [5, ∞) 

III.
Consider f(x)= \sqrt{x-5}

to find the inverse function f^{-1}, 

1. write f(x) as y:

y= \sqrt{x-5}

2. write x in terms of y:

y= \sqrt{x-5}

take the square of both sides

y^{2} =x-5

add 5 to both sides

y^{2} +5=x

x=y^{2} +5

3. substitute y with x, and x with f^{-1}(x):

f^{-1}(x)=x^{2} +5


These steps can be applied any time we want to find the inverse function.

IV. Answer: 

f^{-1}(x)=x^{2} +5, x≥0

y≥0, where y are all the values that f^{-1} can take

Remark: the closest choice is B

8 0
2 years ago
Multi-step equations solve the equation
S_A_V [24]
Can you be more specific please
4 0
3 years ago
Read 2 more answers
Please help me I will mark BRAINLIEST ​
sukhopar [10]

Answer:

See attached diagram

a) Points shown in blue

b) correlation is negative since the y-values decrease as the x-values increase.

c) Line of best fit needs to have the same number of points above as below.

7 0
1 year ago
50 POINTS 6(2+t) - 2(t+1) simplify please this ends at 12:00 HELP ME
daser333 [38]

6(2 + t) - 2(t + 1)

...multiply 6

12 + 6t - 2(t + 1)

...multiply 2

12 + 6t - 2t - 2

...simplify

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4 0
3 years ago
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