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

Answers

Answer 1

Answer:

[tex]\dfrac{0.7\pi}{5.3}\cos(\dfrac{2\pi t}{5.3})[/tex]

0.16

Step-by-step explanation:

According to the question the mathematical model should be

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

Differentiating with respect to time we get

[tex]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})[/tex]

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

After 1 day means [tex]t=1[/tex]

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

The rate of increase after one day is 0.16.


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complete the point-slope equation of the line through (1,0) and (6,-3)

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Answer: y- (-3)= -3/5 (x-6)

Step-by-step explanation:

Can someone help me please

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Answer:  56 degrees

===================================================

Work Shown:

For any triangle, the three interior angles always add to 180

(4x-12) + (6x-17) + (2x+5) = 180

(4x+6x+2x) + (-12-17+5) = 180

12x - 24 = 180

12x = 180+24 ..... adding 24 to both sides

12x = 204

x = 204/12 ..... dividing both sides by 12

x = 17

We can use this x value to find the three angles

4x-12 = 4*17-12 = 56

6x-17 = 6*17-17 = 85

2x+5 = 2*17+5 = 39

As a check,

56+85+39 = 180

which confirms we have the right x value.

We see that 56 is the middle angle, so this is the second largest angle.

List all sets that -1/3 belongs to.

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Answer:

dfffffffff

Step-by-step explanation:

xcdsw23456iu76

The time taken by artisans A. B and C to do an
embroidery job is 15 hours, 18 hours, and 15 hours.
respectively. A, B, and C begin working together but
after 3 hours B is put on another job. How long will A
and C take to finish the embroidery job?​

Answers

Answer:

3 hours 15mins

Step-by-step explanation:

in 1 hours time, A will complete 1/15 of the job, B will complete 1/18 and C 1/15.

After 3 hours, A completed 3/15 (aka 1/5) of the job, B 3/18 (aka 1/6) and C being the same as A.

total job done after 3 hrs is 1/5 + 1/6 + 1/5 which is 17/30 of the job

left: 13/30

in 1 hr, A and C will do 2/15 of the job (4/30)

therefore, no. of hours needed: 13/4 hours = 3.25 hours (3 hours 15mins)

Can someone help? I really don’t understand this at all!

Answers

is this pathogroem therom?

3x -5y + 2z = -53
x - 7y - 4z = -37
5x+9y+2x = 57

Answers

Answer:

answer is 57

Step-by-step explanation:

3x-5y sshsbwisiehdducux sh

(I'LL GIVE BRAINLIEST AND EXTRA POINTS IF YOU HELP!!!)

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Answer:

24/6048 = 252

Step-by-step explanation:

brainlest plz

and why does she have so many beads

Answer:

she said 24 only goes into 60 once, when in reality it can go in twice

4.497 < 4.387
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Answer:

Yes

Step-by-step explanation:

Help me please thanks :)

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Answer:

I think its Distributive Property

Step-by-step explanation:

Hope this helped

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Answer:

slope is 4

Step-by-step explanation:

slope of the line is the diference in y /diference in x between any 2 points that belong to the line

slope=(10-2) / (3-1) = 8/2 =4

How many 1 6 cup servings are in 3 4 cups of popcorn? (in simplest fraction form)

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Answer: 8/17

Step-by-step explanation: 16 ÷ 34 = 8/17

Hope this helps ^_^

What is the value of the expression below?
-8+19+8
ОО
O 11
O 19
O 35

Answers

Answer:

the answer would be 19.

Step-by-step explanation:

-8+8=0

0+19=19

Answer:

19

Step-by-step explanation:

Answer this question please and i will give brainliest

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Answer:

false the answer is false

Step-by-step explanation:

An ice cream factory makes 310 quarts of ice cream in 5 hours. How many quarts can they make per hour?

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62 quarts of ice cream can be made in 1 hour. brainliest?

4x^10 + 9x^10 what is the sum or difference

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Answer:

[tex]13x^1^0[/tex]

Step-by-step explanation:

[tex]4x^1^0+9x^1^0[/tex]

Add similar elements:

[tex]4x^1^0+9x^1^0=13x^1^0[/tex]

2x^3 + 10x^2 − 4x^2y − 20xy

Factor the entire expression completely. Show the steps of your work.

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Answer:

2x ( x + 5 ) ( x − 2 y )

Step-by-step explanation:

1) factor out 2x from the equation

2) factor out x from the equation

3) factor out -2y from the equation

4) factor out x + 5 from the equation

2x ( x + 5 ) ( x − 2 y )

Lilly was shopping and saw the following prices on different packages of the same item

Answers

Answer:

What's the question?

Step-by-step explanation:

Which statement is true regarding the functions on the
graph?

° f(2) = g(2)
° f(0) = g(0)
° f(2)= g(0)
° f(0) = g(2)


Answers

Answer:

f(2) = g(2)

General Formulas and Concepts:

Alg I

Reading a Cartesian PlaneIdentifying CoordinatesSolutions of systems of equations

Step-by-step explanation:

We see from the graph that f(x) and g(x) intersect at x = 2. Therefore, the point at x = 2 would be equivalent in both graphs/be a solution to both equations.

Therefore, f(2) must equal g(2), as they intersect each other at that point and have the same value of 0.

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Ben’s favorite deli says the average serving time is 12 minutes. Ben notices that the wait time at the deli varies at different times of day, before and after noon. His observations when the wait time is as advertised can be represented by the equation 2|x − 2| − 12 = 0. Solve for the times when the serving time is as advertised, relative to noon. Group of answer choices (THERES ALOT OF ANSWERS BE PREPARED) SELECT ALL THE ANSWER CHOICES.


4pm,

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noon,

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Answers

Answer:

8 pm and 8 am

Step-by-step explanation:

Let us solve the equation

[tex]2|(x-2)|-12=0[/tex]

There is a modulus in the equation this means that one value of the modulus will be positive and the other will be negative

Let us solve for the positive first

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So

[tex]12-4=8\ \text{am}[/tex]

The times when the serving time is as advertised is 8 pm and 8 am.

There are 19.3 cups of flour in a bag. The chef uses 2.9 cups for making cookies.
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Answers

Answer:

10.1 cups left

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Ezra has 21 chickens in a pen. He plans on adding 3 chickens every month to the pen. Based on this information, which representation shows this relationship between the number of chickens in the pen, y, and the number of months that have passed, x?

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Step-by-step explanation:

I need help I am in 3grade and I need help with it so if you can please help​

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Answer:

what do you need help with exactly?

Step-by-step explanation:

Answer:

your supposed to ask a question

Step-by-step explanation:

Follow the steps to finish solving the equation -3x+ 18=7x

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9/5=x

Step-by-step explanation:

-3x+ 18=7x

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Answer:

Step-by-step explanation:

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Answers

Answer:

it=552

Step-by-step explanation:

with rounding it = 550

The value of z-score for a pregnancy lasting 286 days will be;

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Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given that;

Mean = 266 days

Standard deviation = 16 days

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Step-by-step explanation:

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High School is selling Valentine's Day gifts as a fundraising event. One long stemmed rose costs $3.00 while one long stemmed carnation costs $1.50. If 50 orders were placed and they totaled $195, how many roses and carnations were ordered?

Answers

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Answers

Answer:

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so in this case, it would be 12 divided by 4 resembling that y varies directly as x

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2.09

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Answer:

the first one and the last three

Step-by-step explanation:

that should be it.

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Answer:

6×1+9×1/10+4×1/100+7×1/1000

Step-by-step explanation:

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