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.

Step-by-step explanation:

x = Iman's money

y = Daphne's money

x = 2y

x - 128 = y - 40

now we use the first equation as identity in the second equation and get

2y - 128 = y - 40

y - 128 = -40

y = $88

x = 2y = $176

these were the starting values.

now, after spending, they have both left

176 - 128 = 88 - 40 = $48

Answer:

B(2)

Step-by-step explanation:

it's in two way factorial design there can be a maximum of two interactions in one main effect

There are 2 sources of variation in a two - way ANOVA with interaction.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A two-way ANOVA with interaction.

Now,

Here, A two-way ANOVA with interaction.

We know that;

Two-way ANOVA include two factors, each with two or more levels (groups), and collectively, factors are often referred to as the main effects in these types of ANOVA. The other source of variation in a two-way ANOVA is the interaction between the two factors.

Thus, Number of sources of variation = 2

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

,

By finding all the four slopes, we can see that the word is ECHA.

We know that the general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:

s = (y₂ - y₁)/(x₂ - x₁)

With that formula we can get the slopes.

1) Using the points (0, 3) and (2, 4).

m = (4 - 3)/(2 - 0) = 1/2, so the letter is E.

2)Using (-1, -12) and (1, -8)

m = (-8 + 12)/(1 + 1) = 4/2 = 2, so the letter is C.

3) We have (2, -6) and (-4, -3) so:

m = (-3 + 6)/(-4 - 2) = 3/-6 = -1/2, so the letter is H

4)we can use the points (0, 3) and (1, 1), so:

m = (1 - 3)/(1 - 0) = -2, so the letter is A

Then the word is ECHA

Learn more about slopes at:

https://brainly.com/question/3493733

#SPJ1

1. It is false that when non-Standard unit used is small few unit's are

needed .

2. Objects with different shapes can have the same volume. True

3. Length, width and height and multiplied to find volume of a rectangular prism. True

4. It is false that volume is measured in square unit.

5. It is true that Volume is a measure of the amount of space inside an object.

6. The formula for volume of a rectangular prism is V = l × w × h. True

7. It is true that Standard units give a consistent and accurate measure of a container.

8. It is false that Non-Standard units cannot be used to measure volume.

9. Volume is measured in cubic units. True

Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.

Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).

Learn more on Volume on https://brainly.com/question/27710307

#SPJ1

The answer is

A function assigns the values. The maximum amount of students able to receive tickets is 178.

A function assigns the value of each element of one set to the other specific element of another set.

Let the maximum amount of students able to receive tickets be  represented by x. Josh is selling tickets for his school's performance. Each student receives 4 tickets for their family and 560 people are already coming. And the auditorium seats a maximum of 1275 people. Therefore, we can write,

1275 = 4x + 560

1275 - 560 = 4x

4x = 715

x = 178.75

Since the number should be a whole number therefore, the maximum amount of students able to receive tickets is 178.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ1

Answer:

75

Step-by-step explanation:

f(4) means to use 4 in place of x.

f(x) = 3(5)^(x-2)

fill in 4 for

f(4) = 3(5)^(4-2)

do the 4-2 subtraction first

f(4) = 3(5)^2

do the 5 to the 2nd power next.

f(4) = 3(25)

last, multiply.

f(4) = 75

This is just following the typical order of operations.

Answer:

- Surveyors

- developers of the GPS system

Step-by-step explanation:

The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.

To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.

The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.

When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.

The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.

To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.

The formula is:

θ = arcsin(h / r)

where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).

θ = arcsin(38 / 29) ≈ 1.0918 radians

Now, we know the angle at which the Ferris wheel is 38 meters above the ground.

To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.

The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.

Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:

Fraction = θ / (2π) ≈ 1.0918 / (2π)

Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:

Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes

Calculating this expression will give us the answer in minutes.

For similar question on diameter.

https://brainly.com/question/28162977

#SPJ8

We can rewrite the equation for this line as follows:

7x + 5y = -20

5y = -7x - 20

y = (-7/5)x - 4

Now, let's look at the general equation of a line:

y = ax + b.

In this equation, a is the slope of the line.

All parallel lines to this one will have the same slope. So, we need to identify the slope of the given equation. And that is:

a = -7/5 = -1.4

Therefore, all equations in the form y = -1.4x + c, where c is a constant, represent lines parallel to the given one.

1) The length of the rectangle is 15 feet and its width is 9 feet.

2) The admission price for an adult ticket is $10 and a student ticket is $6.

1) We shall use the formula for the area of a rectangle to find the length and the width:

A = l * w

where:

A = Area.

l = length

w = width.

Given:

l = 6 feet more than the width.

A = 135 feet square meter

First, we write an equation for the area like this:

(w + 6) * w = 135

Expanding the equation:

w² + 6w - 135 = 0

Next, solve the quadratic equation by factoring:

(w - 9)(w + 15) = 0

So either w - 9 = 0 or w + 15 = 0. This means that either w = 9 or w = -15. Since the width cannot be negative, we have w = 9.

Finally, we shall find the length since we know the width. This can be done by using the fact that it is 6 feet more than the width:

l = w + 6 = 9 + 6 = 15

So, the length is 15 feet and the width is 9 feet.

2) We can find the admission price for an adult ticket and a student ticket by using Mathematical operators:

Let,

a = an adult ticket price

s = a student ticket price

From the given information, we get these equations:

5a + 11s = 116

3a + 4s = 54

Next, solve by substitution.

Solving for 'a' in the second equation:

a = (54 - 4s) / 3

Then, substitute the second expression for 'a' into the first equation:

5((54 - 4s) / 3) + 11s = 116

Multiply both sides by 3:

5(54 - 4s) + 33s = 348

Finally, expand and simplify:

270 - 20s + 33s = 348

13s = 78

s = 6

So, a student ticket costs $6.

Plug this value into either equation to get the adult ticket price:

3a + (4 * 6) = 54

3a + 24 = 54

3a = 30

a = 10

So, an adult ticket costs $10.

Therefore,

1) The length of a rectangle is 15 feet and the width is 9 feet

2) The admission price for an adult ticket is $10 and that of a student is $6

Learn more about the area of a rectangle at brainly.com/question/29604954

#SPJ1

Answer:

3.815

Step-by-step explanation:

The value of L is equal to 50.

In Mathematics and Geometry, a sequence refers to a series of real and natural numbers in which each term or list of elements are ordered in a particular order and repetitions are allowed.

Based on the pattern provided about the crosses, we can logically deduce that the middle term is a sum of all the outer four terms, and then multiplied by 2 as follows;

2 + 5 + 5 + 4 = 16 × 2 = 32

4 + 3 + 5 + 0 = 12 × 2 = 24

8 + 1 + 2 + 3 = 14 × 2=28

4 + 6 + 8 + 7 = 25 × 2 = 50

Therefore, L = 50.

Read more on sequence here: brainly.com/question/24989563

#SPJ1

Complete Question:

Look at the values ​​of the crosses and find the value of L.

The possible whole numbers dimensions are (1, 15), (2, 14), (3, 13), (4, 12), (5, 11), (6, 10), (7, 9) and (8, 8)

Let's assume that the length of the rectangular frame is L inches and the width is W inches.

We know that the perimeter of a rectangle is given by the formula:

P = 2(L + W)

And we also know that the perimeter of the wooden frame should be equal to the length of the wood that Lonnie has, which is 32 inches.

So, we have

2(L + W) = 32

Divide

L + W = 16

The integers that add up to 16 are (1, 15), (2, 14), (3, 13), (4, 12), (5, 11), (6, 10), (7, 9) and (8, 8)

Read more about perimeter at

https://brainly.com/question/25092270

#SPJ1

Answer:

1.length = 15, width = 12, height = 13

2. 13 × 12 × 15 = 2340

Step-by-step explanation:

3 ÷ 1/4 = 12

3 3/4 = 15/4

15/4 ÷ 1/4 = 15

3 1/4 ÷ 1/4 = 13

length = 15

width = 12

height = 13

13 × 12 × 15 = 2340

Answer:

  any value less than 10

Step-by-step explanation:

Let x represent the number.

  1.5x < |20 -5|

  1.5x < 15 . . . . simplify

  x < 10 . . . . . . divide by 1.5

The number may be any value less than 10.

Answer:

c) vertical stretch by a factor of 2

Step-by-step explanation:

Answer:

b.

Step-by-step explanation:

Horizontal stretch by a factor of 1/2.

We can also describe this as a horizontal compression by a factor 2

Step-by-step explanation:

distance must positive

so, 25-12

=13

Answer:

p≥5

Step-by-step explanation:

2p−4≥6

Add 4 to both sides.

2p≥6+4

Add 6 and 4 to get 10.

2p≥10

Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.

p≥10/2

Divide 10 by 2 to get 5.

p≥5

Answer:

29°

Step-by-step explanation:

since a right angle in 90° just subtract 61 out of 90

90°-61°=29°

We can Add 7 black beads to make ratio 3 : 1.

Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.

There are three white beads in the picture.

Total beads we will have (b meaning black)b : 3

Ratio black : white beads 3 : 1

Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.

Find common ratio by dividing total by ratio white beads: 3/1 = 3

Multiply ratio black beads by common ratio. 3 X 3 = 9

We need 9 black beads in total.

Check answer

9 : 3    

Both sides divisible by 3; reduce ratio

= 3 : 1        

Which is Correct ratio

Hence, There will be a total of 9 black beads, but we already have 2 black beads:

(9 total) - (2 original) = (7 to add)

Therefore , we need to add 7 black beads.

Learn more about the ratio visit:

https://brainly.com/question/12024093

#SPJ1

Answer:

$2792.39

Step-by-step explanation:

→ Work out interest rate

( 100 + 5 ) ÷ 100 = 1.05

→ Multiply the amount by the interest rate to the power of 9

1800 × ( 1.05 )⁹ = 2792.39

By using law of sine we get A = 4.02 and C = 8.16 as a result.

The sides and angles of a plane or spherical triangle are related by the trigonometric law of sines. It asserts that all three sides and angles of a triangle have the same ratio of one side to the sine of the opposite angle. When some of this information is available, it can be utilised to determine the triangle's lengths and angles. Moreover, it can be used to surfaces with constant curvature in higher dimension.

The law of sines can be used to resolve this triangle:

Sine (A) = Sine (B) = Sine (C) (C)

B is equal to 35 degrees, A is 30 degrees, and b is 7. The law of sines can be used to find a and c:

Sin(30) = 7/sin a/sin (35)

Sin(30)=-0.988031

7×sin(30)/sin(35) = a = 4.02

7/sin = c/sin(115) (35)

7.4*sin(115)/sin(35) = 8.16

A = 4.02 and C = 8.16 as a result.

Diagram given below:

To know more about law sine visit:

brainly.com/question/17289163

#SPJ1

Sum is addition.

Twice Jenny’s age would be multiplying her age by 2.

Answer: 13 + 2j

Answer:

9

Step-by-step explanation:

The absolute value of any number is just its distance from 0.

-4 is 4 away from 0, so its absolute value is 4.

-5 is 5 away from 0, so its absolute value is 5.

Therefore, the equation is basically just asking what is 4 + 5, which is 9 :D.

Answer:

9

Step-by-step explanation:

The bars around the two numbers imply that it wants you to find the absolute value. Absolute value is the distance a number is from zero since distance is always positive to find the answer just make the number positive. Following this rule l-4l=4 and l-5l=5. Then add them together 4+5=9.

Answer:

It will take 8 days to complete the trip.

Step-by-step explanation:

3104 miles total

388 miles a day

3104/388 = 8

The solution to the expression (4x - 5) - 3(26/3 + 5/3) is 4x - 36

From the question, we have the following parameters that can be used in our computation:

(4x-5)-3(26/3+5/3)

Express properly

So, we have

(4x - 5) - 3(26/3 + 5/3)

Evaluating the like terms, we have

(4x - 5) - 3(26/3 + 5/3) = (4x - 5) - 3(31/3)

When the brackets are opened, we have

(4x - 5) - 3(26/3 + 5/3) = 4x - 5 - 31

So, we have

(4x - 5) - 3(26/3 + 5/3) = 4x - 36

Hence, the solution is 4x - 36

Read more about expression at

https://brainly.com/question/4344214

#SPJ1