1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
LUCKY_DIMON [66]
2 years ago
15

A Cepheid variable star is a star whose brightness alternately increases and decreases. Suppose that Cephei Joe is a star for wh

ich the interval between times of maximum brightness is 5.3 days. Its average brightness is 2.9 and the brightness changes by /- 0.35. Using this data, we can construct a mathematical model for the brightness of Cephei Joe at time t, where t is measured in days:______.B(t)=4.2 +0.45sin(2pit/4.4)
(a) Find the rate of change of the brightness after t days.
(b) Find the rate of increase after one day.
Mathematics
1 answer:
4vir4ik [10]2 years ago
8 0

Answer:

\dfrac{0.7\pi}{5.3}\cos(\dfrac{2\pi t}{5.3})

0.16

Step-by-step explanation:

According to the question the mathematical model should be

B(t)=2.9+0.35\sin(\dfrac{2\pi t}{5.3})

Differentiating with respect to time we get

B'(t)=0.35\cos(\dfrac{2\pi t}{5.3})\times(\dfrac{2\pi}{5.3})\\\Rightarrow B'(t)=\dfrac{0.7\pi}{5.3}\cos(\dfrac{2\pi t}{5.3})

So, the rate of change of brightness after t days is \dfrac{0.7\pi}{5.3}\cos(\dfrac{2\pi t}{5.3})

After 1 day means t=1

B'(1)=\dfrac{0.7\pi}{5.3}\cos(\dfrac{2\pi\times 1}{5.3})\\\Rightarrow B'(1)=0.16

The rate of increase after one day is 0.16.

You might be interested in
Chris has a blue coat and a
Tju [1.3M]

Answer: P = 0.125 = 1/8

Step-by-step explanation:

We know that he has a blue coat and a black coat.

If he dresses at random, then the probability of getting the blue coat is equal to the quotient between the number of blue coats (1) and the total number of coats (2).

Then the probability is:

p = 1/2

We also know that he has blue pants and brown pants, the probability of getting at random the blue pants is calculated in the same way than above, then:

q = 1/2

And for the shirt he has a blue shirt and a red one, the probability of randomly selecting the blue one is calculated in the same way than above, then:

k = 1/2

Now, the joint probability (he selects all blue clothes) is equal to the product of the individual probabilities:

P = p*q*k = (1/2)*(1/2)*(1/2) = 1/8 = 0.125

3 0
3 years ago
Find the value of x (multiple choice)
nekit [7.7K]

Answer:

<em>D.) 6 </em>

Step-by-step explanation:

<em>-3+2*6=9</em>

6 0
2 years ago
one of the same side exterior angles of two parallel lines is 20 degrees less than the other same side exterior angle find the m
Dmitry_Shevchenko [17]

Answer:

25 I am not a fan of the gas increases when the piston is pushed in the next war

8 0
3 years ago
"let v = r 2 with the usual addition and scalar multiplication defined by k(u1, u2) = (ku1, 0). determine which of the five axio
expeople1 [14]
Let \mathbf u\in\mathbb R^2, where

\mathbf u=(u_1,u_2)

and let k\in\mathbb R be any real constant.

Given this definition of scalar multiplication, we can see right away that there is no identity element e such that

e\mathbf u=\mathbf u

because

e\mathbf u=e(u_1,u_2)=(eu_1,0)\neq(u_1,u_2)=\mathbf u
5 0
3 years ago
Sylvie and 3 of her friends go to eat at Chili's The total amount of their food is $45.90. If they split the bill evenly, how mu
aleksley [76]

Answer:

$12.24

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • The length, width, and height of a rectangular solid are 13.5, 12, and 14.1, respectively. Find the volume.
    7·1 answer
  • Please answer the question
    13·1 answer
  • Solve for q.<br> 6q – 4q – q + q + 4q = 12<br> What does q equal?
    6·2 answers
  • You have 4/5 of a square and you need to divide it by 1 &amp; 1/4. How many pieces would you have?
    12·1 answer
  • Someone please help me on this question
    13·1 answer
  • Harry took a loan from the bank. D(t) models Harry's remaining debt (in dollars) as a function of time, t (in months)
    15·2 answers
  • What does x equal? ​
    14·2 answers
  • The surface areas of the two solids shown above are equal.<br> O A. True<br> O B. False
    9·2 answers
  • PLZ HELP!! NEED QUICKLY!!<br> Given: ∆ABC ≅ ∆DEF. Find DF and m∠B.
    12·1 answer
  • Can u please help me!
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!