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Orlov [11]
3 years ago
11

Which is the graph of the given function?

Mathematics
1 answer:
Schach [20]3 years ago
4 0

ANSWER

The correct choice is A.

EXPLANATION

The given cosine function is:

f(t) = 2 \cos( - 4t)

This function has an amplitude of 2.

Hence it must have range,

-2≤f(t)≤2

It has a period of

\frac{\pi}{2}

Hence the function must complete one cycle on the interval,

[0,½π],

[½π,π],

etc.

The negative sign shows a reflection in the y-axis but since the cosine function is even, the function retraces itself.

The correct choice is A

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Melanie began studying a sample of the chemical element einsteinium-253 which naturally loses its mass over time. The relationsh
mario62 [17]

Answer:

The chemical element loses 4% of its weight everyday

Step-by-step explanation:

Here, we are interested in knowing the percentage weight loss of the chemical each day.

The key to answering this is looking at the expression inside the bracket.

We can express M(t) = 169•(0.96)^t as

M(t) = 169•(1-0.04)^t

So what this means is that we need to find the percentage value corresponding to 0.04 since it is a constant term here

Mathematically, 0.04 is same as 4/100, so we can clearly say that the constant percentage loss is 4%

6 0
3 years ago
Can you help me find all the seventh roots of unity? what do they look like graphed?
alex41 [277]

Answer:

There are seven seventh roots of unity, e2πki7 , all on the unit circle, r=1 above.

The first one is at θ=2π7=360∘7=5137 ∘ , and there are others at 4π7,6π7,8π7,10π7,12π7 and of course at 0 radians, i.e. unity itself.

How to find?

There are 4 fourth roots of unity and they are 1, i,−1 and−i

Each of the roots of unity can be found by changing the value of k k k in the expression e 2 k π i / n e^{2k\pi i/n} e2kπi/n. By Euler's formula, e 2 π i = cos ⁡ ( 2 π ) + i sin ⁡ ( 2 π ) = 1.

8 0
3 years ago
Can your write a division sentence to represent that model ?​
jok3333 [9.3K]

Answer:

4/5 divided by 4 is 1/5

Step-by-step explanation:

5 0
3 years ago
Consider the following equation. 9x2 − y2 = 6 (a) Find y' by implicit differentiation. y' = (b) Solve the equation explicitly fo
qaws [65]

Answer:

Step-by-step explanation:

Given is an equation in x and y as

9x^2 - y^2 = 6

We use implicit method to differentiate the above equation

18x-2yy'=0

y' = 9x/y

b) to solve the equation explicitly for y and differentiate to get y' in terms of x. y' = ±

We separate the variables as

yy' =9x\\\frac{y^2}{2} =\frac{9x^2}{2} +C\\y^2 =9x^2+2C

Take square root

y=\sqrt{9x^2+2C} \\y=-\sqrt{9x^2+2C}

6 0
3 years ago
at shop and shop ,shaquana buys 3 pounds of squash and 2 pounds of eggplants and pays $2.85.then ,evelyn buys 4 pounds of squash
Montano1993 [528]

Each pound of squash cost $0.49 while each pound of eggplant cost $0.69.

Let x represent the cost of each pound of squash and y represent the cost of each pound of eggplant.

3 pounds of squash and 2 pounds of eggplants cost $2.85. Hence:

3x + 2y = 2.85   (1)

4 pounds of squash and 5 pounds of eggplants cost $5.41. Hence:

4x + 5y = 5.41   (2)

Solving equation 1 and 2 simultaneously gives:

x = 0.49, y = 0.69

Each pound of squash cost $0.49 while each pound of eggplant cost $0.69.

Find out more at: brainly.com/question/21105092

7 0
3 years ago
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