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3 years ago

Which formula gives the x-coordinates of the maximum values for y = cos(x)?

Mathematics

1 answer:

REY [17]3 years ago

3 0

Answer with explanation:

The given trigonometric Function is,

y= cos x

→The maximum value of , cos x , is 1, at x=0 degree.

Cos x =1

→Cos x = Cos (0)degree,

$x=2 k \pi \pm 0$

→ for, k= An Integer

x=2 k π→→General formula that gives the x-coordinates of the maximum values for y = cos(x)

Ordered Pair =(x,y)=(2 k π, 1)

For, any value of , k in the given equation, y will be always 1.

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Which trig ratio? Can you solve this??

pogonyaev

Step-by-step explanation:

There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent. These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot. These are referred to as ratios since they can be expressed in terms of the sides of a right-angled triangle for a specific angle θ.

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2 years ago

Carissa earns $450 per week for a 40 hour work week plus $16.83 per hour for each hour of overtime after 40 hours. Write an equa

gavmur [86]

Answer:

W = 450 + 16.83V

Step-by-step explanation:

For 40 hours Carissa

earning = $450

earning for 1 hour of over time = $16.83

multiplying both side by V

earning for v hour of over time = $16.83*V = $16.83V

weekly wage(W) = earning for 40 hours + earning for V hour of over time

W = 450 + 16.83V

Thus equation will be as given below for weekly earning

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3 years ago

Douglas invests money in two simple interest accounts. He invests three times as much in an account paying 14% as he does in an

Rainbow [258]

Douglas invested $ 1300 altogether

Solution:

Let x represent the amount invested in the account paying 14% interest.

Let y represent the amount invested in the account paying 5% interest

He invests three times as much in an account paying 14% as he does in an account paying 5%

Which means,

x = 3y

The simple interest is given by formula:

$S.I = \frac{p \times n \times r}{100}$

Where,

"p" is the principal

"n" is the number of years

"r" is the rate of interest

He earns $152.75 in interest in one year from both accounts combined

Therefore,

Combined S.I = 152.75

n = 1 year

Considering the account earning 14% interest:

$S.I = \frac{3y \times 14 \times 1}{100}\\\\S.I = 0.42y$

Considering the account earning 5% interest:

$S.I = \frac{y \times 5 \times 1}{100}\\\\S.I = 0.05y$

Since, Combined S.I = 152.75

Therefore,

0.42y + 0.05y = 152.75

0.47y = 152.75

Divide both sides by 0.47

y = 325

Therefore,

x = 3y

x = 3(325)

x = 975

how much did he invest altogether?

Amount invested together = x + y = 975 + 325 = 1300

Thus he invested $ 1300 altogether

3 0

2 years ago

In the year 2005 , a total of 750 fish were introduced into a manmade lake . The fish population was expected to grow at a rate

xxTIMURxx [149]

Answer:

The fish population will be in 2050 = 27,123

Step-by-step explanation:

Given,

In 2005, the total number of fish were introduced (fish population), PV = 750

The growth rate, i = 8.3% = 0.083

The difference between 2050 and 2005 is (2050 - 2005), n = 45 years

We need to solve this problem with the help of future value of compounding. We know, FV = PV (1+i)^n, where, PV = present value, i = interest rate, n = period.

Therefore, the fish population will be in 2050 = 750 x (1 + 0.083)^45

The fish population will be in 2050 = 27,123.26

2050 fish population = 27,123 (Nearest to whole number).

3 0

2 years ago

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Luba_88 [7]

Answer: you need to show the rest because i dont know. four times what?

Step-by-step explanation:

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8 0

2 years ago

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