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.
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.
what’s the nth term of -5,-4,-1,4,11,20,31
Answer:
The nth term is n + odd numbers
Thank you and please rate me as brainliest as it will help me to level up
Graph the equation y = 3x - 6
Select two points to graph the line.
Answer:
y intercept is -6 put your first point on that y intercept
Step-by-step explanation:
from -6 rise 3 and run 1 (to the right )
whats that point ? (0,2)
from that point 2.... run 1 ( to the right and up 3) that will take from x4 to y6
(0,2) (4,6) Two points
y2 -y1 = 6
x2-x1 =2
6/2 simplified is 3/1
Make sense?
3x^2-x=4
please help
Answer:
x=1 4/3
Step-by-step explanation:
Someone please help ASAP will mark as Brainliest
The graph represents f(x) = |x| + 3.
what is f(-2, 2)?
A) -2
B) 0
C) 1
D) 2
answer choices are
A:45°
B:180°
C:61°
D:119°
Answer:
Option c: 61° is the correct answer
Step-by-step explanation:
By the diagram attached with the question, we can conclude that a transversal is interesting two parallel lines which results in formation of 8 angles.
Angle 3 and angle 5 are interior angles on same side of transversal.
When a transversal intersects two parallel lines, the interior angles on same side of transversal are supplementary angles i.e. their sum is 180°
So using this
m∠3+m∠5 = 180°
m∠3 + 119° = 180°
m∠3 = 180°-119°
m∠3 = 61°
Hence,
Option c: 61° is the correct answer
zen throws a bad upward with an initial upward velocity of 64ft/s. the ball is 5 ft when it leaves her hand in how many second will the ball reach its maximum height? What is the balls maximim height?
Answer:
12.8 seconds
Step-by-step explanation:
What is the solution to x^6 – 6x ^5 + 15x ^4 – 20x ^3 + 15x^ 2 – 6x + 1 ≥ 0? x = 0 x = 1 all real numbers all real numbers except zero
Answer:
Answer: C all real numbers
Answer: All real numbers
Step-by-step explanation: Edge 2022
what's the distance between (2,10) and (-6,6)
Answer:
4
Step-by-step explanation:
Answer:
sqrt of 80 , or 8.944272 rounded to the nearest tenth would be 8.9
Step-by-step explanation:
use formula:
d= sqrt(x2−x1)^2+(y2−y1)^2
Here is my question
Which statement can be used to classify this triangle as an isosceles triangle?
Angle F is a right angle.
Sides DE and EF are congruent.
Sides FD and DE are congruent.
Sides EF and FD are congruent.
Answer:
Sides EF and FD are congruent
Step-by-step explanation:
an isosceles triangle has two sides that are congruent and the two sides need to meet at then angle that is different from the other two base angles
Answer:
Sides EF and FD are congruent
If f(x) =(1/7)(7x)what is (3)?
?
Answer:
f(3) = 3
Step-by-step explanation:
f(x) = (1/7)(7x)
f(3) = (1/7)(7×3)
f(3) = (1/7)(21)
f(3) = 3
Two-thirds of the fruit in a basket are apples. One-fourth of the apples are green apples. What fraction of the fruit in the basket are green apples?
Answer:
1/6
Step-by-step explanation:
2/3*1/4
=2/12
=1/6
PLS GIVE BRAINLIEST
[[[click on the image to make bigger]]]
I really need questions 2 and 4 for this!! please
Answer:
It equals pizza 3’5.42 inch
Step-by-step explanation:
Point Tis on line segment SU. Given ST = 2 and TU = 15, determine the length
SU.
Answer:
SU = 17
Step-by-step explanation:
The line looks like this
S--T---------------U
If you add 2 + 15 = 17
Hope this helps ya!!
A package of 6 pairs of insulated gloves costs $34.14 What is the unit price of the pairs of gloves?
The unit price is $____per pair of gloves.
The height h (in feet) of an object t seconds after it is dropped can be modeled by the quadratic equation
h = -16t2 + h0, where h0 is the initial height of the object. Suppose a small rock dislodges from a ledge that is 255 ft above a canyon floor. Solve the equation h = -16t2 + 255 for t, using the quadratic formula to determine the time it takes the rock to reach the canyon floor.
t 0.87 s
t 4 s
t = 8.5 s
t = 16 s
Answer:
B on edge 2022
Explanation:
Picture:
The time it takes the rock to reach the canyon floor is 8.5 seconds.
Option C is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Using the quadratic formula.
t = (-b ± √(b² - 4ac)) / 2a
where a = -16, b = 0, and c = 255.
Now,
Plugging in the values.
t = (-0 ± √(0² - 4(-16)(255))) / 2(-16)
t = (± √(16320)) / (-32)
t = (± 128) / (-32)
So,
The solutions for t.
t = 4 seconds (taking the negative solution)
t = 8.5 seconds (taking the positive solution)
We can eliminate t = 0.87 seconds and t = 16 seconds as they are not solutions to the equation.
Therefore,
The time it takes the rock to reach the canyon floor is 8.5 seconds.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ7
please someone help me out on this
Answer:
I think it is C
Step-by-step explanation:
im sorry if i am wrong
Answer:
I think it is supplementary, I may be wrong but I googled supplementary angles and the examples kinda looked like that.
If his truck pulls forward with a force of 2,750 newtons and the weight of the trailer pulls backward with a force of 2,790 newtons, which of the following statement is true?
A.
The truck will experience a net force of 2,750 newtons forward.
B.
The forces acting on the truck and trailer are balanced.
C.
The truck and trailer will experience a net force of 40 newtons backward.
D.
The truck and trailer will experience a net force of 40 newtons forward.
Answer:
The answer is c
Step-by-step explanation:
n = 2, a = 16
"Find the indicated real nth root(s) of a.
The value of the indicated real nth root(s) of a will be 4.
What is square root of a number?A square root of a number is a value that multiplied by itself gives the same number.
Given that;
The values are,
⇒ n = 2, a = 16
Now,
Since, We know that;
The indicated real nth root(s) of a = [tex]\sqrt[n]{a}[/tex]
Here, The values are,
⇒ n = 2, a = 16
Thus, The indicated real nth root(s) of a is,
⇒ [tex]\sqrt[n]{a}[/tex]
⇒ ²√ 16
⇒ 4
Thus, The indicated real nth root(s) of a = 4.
Learn more about the indicated nth root visit:
https://brainly.com/question/12114551
#SPJ5
The container that holds the water for the football team is 1/5 full. After pouring in 7 gallons of water, it is 7/10 full. How many gallons can the container hold?
X = 6{2 + 3[2(7 − 3) + (4 + 1) − 3]}
What is the solution of the proportion x−1/2 = x−4/5 ?
A teacher designs a test so a student who studies will pass 90% of the time, but a student who does not study will pass 11% of the time. A certain student studies for 85% of the tests taken. On a given test, what is the probability that student passes?
Answer:
probability that student passes = 0.7815
Step-by-step explanation:
Given:
Student studies = 85% = 0.85
Student not study = 11% = 0.11
Student who pass = 90% = 0.90
Computation:
P(student not pass) = 1 - 0.85
P(student not pass) = 0.15
probability that student passes = P(Student studies)(Student who pass) + P(Student not study)(student not pass)
probability that student passes = (0.85)(0.90) + (0.15)(0.11)
probability that student passes = 0.765 + 0.0165
probability that student passes = 0.7815
Using the percentages given, it is found that there is a 0.7815 = 78.15% probability that student passes.
The percentages associated with passing the test are given by:
90% of 85%(student studies for the test).11% of 15%(student does not study for the test).Hence, adding these percentages:
[tex]p = 0.9(0.85) + 0.11(0.15) = 0.7815[/tex]
0.7815 x 100% = 78.15%
There is a 0.7815 = 78.15% probability that student passes.
A similar problem, also involving the use of percentages, is given at https://brainly.com/question/25960993
PLEASE HELP!!!
DUE IN AN HOUR!!!
Answer:
Don't cheat u cheater...
Divide 4 1/2 by the following unit fractions.
a) 1/8
Answer:
4 1/2 divided by 1/8 = 16
Step-by-step explanation:
Look at the attachment below: Hope it helps!
The solution of expression divided [tex]4\dfrac{1}{2}[/tex] by the unit fractions [tex]\dfrac{1}{8}[/tex] is, 36
Given that,
Divide [tex]4\dfrac{1}{2}[/tex] by the unit fractions [tex]\dfrac{1}{8}[/tex].
Now, The expression divide [tex]4\dfrac{1}{2}[/tex] by the unit fractions [tex]\dfrac{1}{8}[/tex] is written as,
⇒ [tex]4\dfrac{1}{2} \div \dfrac{1}{8}[/tex]
Change the divide symbol into multiplication,
⇒ [tex]4\dfrac{1}{2} \times 8[/tex]
Change the fraction into an improper fraction,
⇒ [tex]\dfrac{9}{2} \times 8[/tex]
⇒ [tex]\dfrac{72}{2}[/tex]
⇒ 36
Therefore, the solution of expression is, 36
To learn more about the fraction visit:
https://brainly.com/question/5454147
#SPJ6
you invest $4500 into an interest earning account that compounds daily at 5%.How much will you have in 6 years.How much interest will you earn
Answer:
4500*1.05^(365*6) = 1.1422929e+50
Please help me solve for all the numbers
Answer: 10,8,5 are all right angles (90 degrees) 7,6,9,2 are all acute angles and are 42 degrees
1 and 3 are obtuse angles and they are 117 degrees.
Step-by-step explanation:
A random sample of 84 students at a university showed an average age of 22 years and a sample standard deviation of 3 years. Find the margin of error for the 94% confidence interval. (Assume that the population of students is large relative to the sample size. Round your solution to 4 decimal places)
Answer:
The margin of error for the 94% confidence interval is 0.6154.
Step-by-step explanation:
The (1 - α)% confidence interval for population mean is:
[tex]CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]
The margin of error of this interval is:
[tex]MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]
The critical value of z for 94% confidence level is, z = 1.88.
Compute the margin of error for the 94% confidence interval as follows:
[tex]MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]
[tex]=1.88\times\frac{3}{\sqrt{84}}\\\\=0.6154[/tex]
Thus, the margin of error for the 94% confidence interval is 0.6154.
-1,000 -999 < > or = and why
Answer:
-1,000
Step-by-step explanation:
Answer:
The answer is -1,000 > -999
Step-by-step explanation:
That is because the more further you go away from the zero into the negatives on a number line graph, the bigger the number with a negative sign is, that considered smaller