Answer:
add both sides ny 9.6 and divide both sides by 3.2, hope this helps!
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.
The local diner offers a meal combination consisting of an appetizer, a soup, a main course, and a dessert. There are six appetizers, two soups, four main courses, and six desserts. Your diet restricts you to choosing between a dessert and an appetizer. (You cannot have both.) Given this restriction, how many three-course meals are possible?
Answer: 96
Step-by-step explanation:
According to the fundamental principle of counting:
Total number of meals possible = (Choices for appetizers) x (Choices for soups) x (Choices for main courses) x (Choices for desserts)
If there is a restriction to choose between appetizer and dessert.
Then, Total number of meals possible = (Choices for appetizers) x (Choices for soups) x (Choices for main courses) + (Choices for soups) x (Choices for main courses) x (Choices for desserts)
= 6 x 2 x 4 + 2 x 4 X 6
= 48+48
= 96
Hence, the number of three-course meals are possible= 96
Answer:
96?
Step-by-step explanation:
This is how many classes students at Bronx College take this semester with the probabilities courses1 2 3 4 5 probability (distribution) of taking that many courses.1.1.6.1.1 The variance for this distribution is approximately.
Answer:
1
Step-by-step explanation:
Given the question above :
The probability distribution :
X : ___ 1 ___ 2 ___ 3 ___ 4 ____ 5
P(x): _ 0.1 __ 0.1 __ 0.6 _ 0.1 __ 0.1
The Variance : Var(X) = (Σx²*p(x)) - μ²
μ = E(X) = Σ(X * p(x)) :
Σ(X * p(x)) = (1*0.1)+(2*0.1)+(3*0.6)+(4*0.1)+(5*0.1)
μ = 3
Var(X): [(1^2*0.1)+(2^2*0.1)+(3^2*0.6)+(4^2*0.1)+(5^2*0.1)] - 3²
= 10 - 9
= 1
Hence. Variance = 1
If i had 127 tables and each table could fit 4 people how many people could i seat?
will give brainlest plz help!!!Which relation is a function?
The correct answer is the graph in the top right corner because it is a constant function. The bottom left graph is also considered a function but is an absolute function. So both are technically correct.
Which of the following shows only multiples of 12
Answer:
there is no following
Step-by-step explanation:
Answer: 12,24,36,48,60,72,84,96,108,120,132,144
Step-by-step explanation:
Hope this helps. Could not see the image attached.
A city bus compny sold 35 one-way tickets and 20 round trip tickets from west elmwood to east elmwood. One way tickets cost $14. Round trip tickets cost $27. How much money did the bus company collect?
Answer:
$1,030
Step-by-step explanation:
Step 1- Multiply One way tickets by How much the tickets cost:
35 x 14= 490
Step 2- Multiply Round trip tickets by how much the tickets cost:
20 x 27= 540
Step 3- Add both sums together:
490 + 540= 1,030
Therefore, the answer is $1,030
Part D
You now have an equation to model the finances of the car wash. What is the value of the profit when the baseball team washes 0 cars? What point represents the value? What does the y-value of this point mean in terms of the problem?
Answer:
The equation for the profit made on the car wash is y = 5x – 75. Here, y is the profit made and x is the number of cars washed. So if the team washes 0 cars, x will be 0.
y = 5(0) – 75
y = -75
The point that represents this is (0, -75). Here, the value of the y-coordinate of the point is -75. Since it has a negative sign, it means that instead of making a profit, the team suffers a loss. So, if the baseball team washed no cars, it would lose $75.
Step-by-step explanation:
Which of the following statements is NOT equivalent to the statement, 'There exists either a
computer scientist or a mathematician who knows both discrete math and Java.
The correct answer is computer scientists because they know both discrete math and java.
Given that,
"There exists either a computer scientist or a mathematician who knows both discrete math and Java." is to be discussed.
Java is a computer programming language, which helps to build software and program on computers.
here,
Mathematicians do have knowledge of discrete math but they do not have known what actually java is, while being a computer scientist one should have knowledge of both discrete math and Java.
Thus, the correct answer is computer scientists because they know both discrete math and java.
Learn more about java here:
https://brainly.com/question/13261090
#SPJ2
The amount of mustard dispensed from a standard dispenser is normally distributed with a mean of 0.9oz and a variance of 0.01oz. If a family of six buys ten hotdogs total and dispenses mustard onto each one using the standard dispenser, what is the probability that more than 3 of them will have more than one ounce of mustard?
Answer:
the probability that more than 3 of them will have more than one ounce of mustard is 0.05975
Step-by-step explanation:
Given te data in the question;
let x rep the quantity of mustard on a hotdog ( in oz)
so
X → N ( u = 0.9, α² = 0.01 )
now P( more than one ounces of mustard on a hotdog) will be
P( X>1 ) = P( Z > ((1-0.9)/(√0.01)) ) = P( Z > 1 ) = 1 - P( Z < 1 )
= 1 - 0.84134 = 0.15866
Also let Y rep the number of hotdogs that have more than one ounces of mustard, so
Y → Bin( n = 10, p = 0.15866 )
P( y = y ) = (¹⁰ _y) ( 0.15855)⁰ ( 1 - 0.15866 )^10-y, y = 0,1,2,3......, 10
so required probability = P(Y > 3) = 1 - P(Y ≤ 3)
= 1 - P(Y=0) - P(Y=1) - P(Y=2) - P(Y=3)
=1 - (¹⁰ ₀) ( 0.15855)⁰ (1 - 0.15855)¹⁰⁻⁰ - (¹⁰ ₁) ( 0.15855)¹ (1 - 0.15855)¹⁰⁻¹ - (¹⁰ ₂) ( 0.15855)² (1 - 0.15855)¹⁰⁻² - (¹⁰ ₃) ( 0.15855)³ (1 - 0.15855)¹⁰⁻³
= 0.05975
Therefore the probability that more than 3 of them will have more than one ounce of mustard is 0.05975
True or false: The mapping notation for reflecting point (x,y) about the x-axis is (−x,y).(1 point) This statement is true. This statement is false. The mapping notation for reflecting point (x,y) about the x-axis is (x,−y). This statement is false. The mapping notation for reflecting point (x,y) about the x-axis is (y,x). This statement is false. The mapping notation for reflecting point (x,y) about the x-axis is (−x,−y).
Answer:
This statement is false. The mapping notation for reflecting point (x,y) about the x-axis is (x,-y)
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
What is the equation of the line that passes through the point (-1,7) and has a slope of -2?
can somebody help
me
Answer: answer 2
Step-by-step explanation:
Colin, Sara and Gordon share some sweets in the ratio 2:5:3. Colin gets 26 sweets. How many sweets are there altogether?
Answer:
130
Step-by-step explanation:
Ratio is 2:5:3. Colin get 2/10 of the sweets so 26/x=2/10. Use the butterfly method to get 260=2x. Divide both sides by 2 and get x=130/
Just select yes and no for all three pls help
.....*+*Kill me*+*.....
*+*.......................*+*
*+*.......................*+*
Answer:
1. Yes 2. No 3. No
Step-by-step explanation:
Write 0.45 as a fraction.
Answer:
9/20
Step-by-step explanation:
0.45 = 45/100
45/100=9/20 (divide numerator and denominator by 5)
If 4% of a number is 8, find 1% of that number.
How do I solve this problem?
Answer:
2
Step-by-step explanation:
First, find the number by dividing 8 by 0.04
8/0.04
= 200
Then, find 1% of 200 by multiplying it by 0.01:
200(0.01)
= 2
So, 1% of the number is 2.
Answer:
The answer is 2
Step-by-step explanation:
4%x5=20% and 8x5=40, 20%x5=100% and 40x5=200 and 1% means you move the decimal to the left twice so it is 2, my explanation might be wrong but I know my answer is correct:
)
Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards. Pete walks directly from point A to point C, without passing through point B. What is the direct distance from A to C?
Answer:
man the answers are 40 10 30
Step-by-step explanation:
Estimate the area of the inregular shape. Explain your method and show your work.
Please help 100 points and brainliest
Answer:
30
Step-by-step explanation:
Since we are estimating. We know that it is about 5 units on top and about 6 units on the side. Therefore, you would multiply them
5*6=30
That is why the area of this irregular shape is 30 units.
:∫ PLZZ help ;⊃ plz no playing around I need actual answer
Answer:
d.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
15/10 goes down to 3/2 divide 15 by 5
21/14 goes down to 3/2 divide 21 by 7
Can somone help me on this please idk it
Write an absolute value equation that has the given solution of -2 and 10.
Answer:
x² - 8x - 20
Step-by-step explanation:
Given that 2 values of x
x = -2 & 10, then
x + 2 = 0
x - 10 = 0, we enclose them in s bracket, and then proceed to expanding them both, by so doing, we have
(x + 2) (x - 10) =
x² - 10x + 2x - 20 = on collecting like terms, we have something in this mould
x² - 8x - 20
Thus the equation that arises given two numbers -2 & 10 is
x² - 8x - 20 = 0
Compare. Select <, >, or=.
6.61? 6.610
The awnser is 6.610
Answer:
6.61=6.610
Step-by-step explanation:
6.61=6.610
After point we can increase no. Of zero.
un automovil tiene ruedas de 80 cm de diametro el automovil avanca 10 metros en 5 segundos a velocidad constante
Answer:
1000 centímetros = 10 metros por 5 segundos a velocidad constante
Step-by-step explanation:
1 centímetro = 0.01 metros
80 centímetro = 0.08 metros
Lo siento si esto no tiene sentido o no está traducido correctamente. Solo hablo inglés con fluidez, así que me disculpo si cometí un error. Espero que ayude.Please help im stuck
Answer:
B
Step-by-step explanation:
substitution because
if m∠3=m∠7, and m∠7=m∠6 you can substitute
m∠7 to m∠3 and get m∠3=m∠6
The equation of line j is y= -6/7x +7.Line k is perpendicular to j.What is the slope of line k?
Simplify your answer and write it as a proper fraction,improper fraction,or integer.
Answer:
y=7/6x
Step-by-step explanation:
When given an equation and asked to find the equation of a perpendicular line that intersects it, you know that the slope is the slope of the equation is the negative recipricoal of the given equation. i.e. y=2x+2 and y=-1/2x+2. The y-intercept does not matter.
I hope you understood and that this helps!
how many times greateri is the value of the digit 9 in 90,000 than the value of the digit 9 in 9,000
Answer:
It is 10 times greater.
Step-by-step explanation:
The place value of 9 in 90,000 is in the 10,000th place.
The place value of 9 in 9,000 is in the 1,000th place.
10,000 divided by 1,000 = 10.
In conclusion, the place value of 9 in 90,000 is 10 times greater than the palce value of 9 in 9,000.
Calculate the present value PV of an investment that will be worth $1,000 at the stated interest rate after the stated amount of time. 7 years, at 3% per year, compounded annually.
Answer:
PV= $813.09
Step-by-step explanation:
Giving the following information:
Future Value (FV)= $1,000
Number of periods (n)= 7 years
Interest rate (i)= 3% compounded annually
To calculate the present value (PV), we need to use the following formula:
PV= FV/(1+i)^n
PV= 1,000 / (1.03^7)
PV= $813.09
The perimeter of the rectangle is 2,500 cm. Find the unknown side length. the other side is 750
Answer:
500 cmStep-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question we have
[tex]2500 = 2l + 2(750) \\ 2500 = 2l + 1500 \\ 2l = 2500 - 1500 \\ 2l = 1000 \\ \frac{2l}{2} = \frac{1000}{2} \\ l = \frac{1000}{2} \\ l = 500[/tex]
We have the final answer as
500 cmHope this helps you
(Ill mark brainliest if u help me! :D)
Solve five and four tenths times two.
A) ten and four twentieths
B) ten and eight twentieths
C) ten and four tenths
D) ten and eight tenths
(Here is an image if needed) :
Answer:
10 4/10
Step-by-step explanation:
multiply it together