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.
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
X = 6{2 + 3[2(7 − 3) + (4 + 1) − 3]}
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:
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
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
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.
What is the solution of the proportion x−1/2 = x−4/5 ?
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?
[[[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:
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
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
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
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.
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
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
-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
Someone please help ASAP will mark as Brainliest
Of the 64 people who answered "yes" to a question, 6 were male. Of the 70 people that answered "no" to the question, 8 were male. If one person is selected at random from the group, what is the probability that the person answered "yes" or was male?
Answer:
The probability that the person answered "yes" or was male is 0.537
Step-by-step explanation:
The union of events is equivalent to the disjunction "or". Given two events A and B, the union of events, denoted by A∪B, is defined as the event formed by all the elements that are in A or B. That is, the event A∪B is verified when one of the two or both occurs.
Considering two events A and B with probabilities P (A) and P (B), respectively, the probability of their union is given by:
P(A∪B)= P(A) + P(B) - P(A∩B)
In this case:
A: the person answered "yes" B: the person was maleSo, being the probability calculated as the number of favorable cases divided by the total number of possible cases, then in this case it is known that the number of people who answered yes is 64, while the number of people who responded is not 70. Therefore , the total number of people who answered is equal to 64 + 70 = 134. So, the probability of answering yes is:
P(A)=[tex]\frac{64}{134}[/tex]=0.478
On the other hand, you know that out of 64 people who answered yes, the number of being male is 6. And out of 70 people who answered no, the number of being male is 8. So the probability that men answer yes is calculated as:
P (A∩B) =[tex]\frac{6}{134}[/tex]= 0.045
Finally, with the total number of men equal to 6 + 8 = 14, the probability of being male is:
P(B)=[tex]\frac{14}{134}[/tex] = 0.104
Then:
P(A∪B)= P(A) + P(B) - P(A∩B)
P(A∪B)= 0.478 + 0.104 - 0.045
Solving:
P(A∪B)= 0.537
The probability that the person answered "yes" or was male is 0.537
PLEASE HELP!!!
DUE IN AN HOUR!!!
Answer:
Don't cheat u cheater...
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.
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
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 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
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?
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
Is 1 and 2/3 equal to 3divided by5
Answer:
sdfdfds
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
3 divided by 5 is the same as 0.6
The graph represents f(x) = |x| + 3.
what is f(-2, 2)?
A) -2
B) 0
C) 1
D) 2
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:
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