A Cepheid star is a type of variable star, which means its brightness is not constant. The relationship between the brightness of a
Cepheid star and its period, or length of its pulse, is given by M = -2.78(log P) - 1.35, where M is the absolute magnitude, or
brightness of the star, and Pis the number of days required for the star to complete one cycle. What is the absolute magnitude of
a star that has a period of 45 days? Use a calculator. Round your answer to the nearest hundredth.
-5.95
-4.60
3.25
4.60

Answers

Answer 1

Answer:

-5.95 on edge

Step-by-step explanation:

Answer 2

The absolute magnitude of a star that has a period of 45 days is -5.95.

What is the magnitude of a star?

magnitude, in astronomy, measures the brightness of a star or other celestial body. The brighter the object, the lower the number assigned as a magnitude. In ancient times, stars were ranked into six magnitude classes, the first magnitude class containing the brightest stars.

How do you find the magnitude of a star?

Mv = m - 2.5 log[ (d/10)2 ]. Stars farther than 10 pc have Mv more negative than m, that is why there is a minus sign in the formula. If you use this formula, make sure you put the star's distance d in parsecs (1 pc = 3.26 ly = 206265 AU).

Learn more about the magnitude of a star at

https://brainly.com/question/24468862

#SPJ2

The absolute magnitude of a 45-day star is -5.95.

How big is the star?

The magnitude measures the brightness of a star or other celestial body in astronomy. The brighter the object, the lower the number assigned as a magnitude. In ancient times, stars were divided into six magnitudes, the first of which contained the brightest stars.

How do you find the size of a star?

Mv = m-2.5log [(d / 10) 2]. Stars over 10 pc have a minus sign in the formula because Mv is more negative than m. When using this formula, enter the star distance d in parsecs (1 pc = 3.26 Ly = 206265 AU).

For more information on the size of stars, please see

https://brainly.com/question/24468862

#SPJ2.


Related Questions

How would you identify a perfect square trinomial? Give an example.

Answers

Answer:

"Perfect square trinomials" are quadratics which are the results of squaring binomials. (Remember that "trinomial" means "three-term polynomial".)

For instance:

(x + 3)2

= (x + 3)(x + 3)

= x2 + 6x + 9

...so x2 + 6x + 9 is a perfect square trinomial.

Graph the line that represents a proportional relationship between y and x where the unit rate of change of y with respect to x is 4/3. In other words, a change of 1 unit in x corresponds to a change of 4/3 in y

Answers

Answer:

you can do 4/3 x 1 if I get it wrong im sorry

Which of the following is the radical expression of 5
a_
7

Answers

Answer

[tex]\sqrt[7]{a^{5} }[/tex] is the correct answer to the given question.

Step-by-step explanation:

The given question is incomplete the options are missing also the question is also not well described the question is  [tex]a^{5/7}[/tex].

[tex]a^{5/7}[/tex]

There is property when we convert any power number into the radical form the denominator of the  power number is shifted to the order of the radical number .Here 7 is denominator in the power of [tex]a^{5/7}[/tex] so 7 is shifted to the order of the radical number .

So it can be written as    [tex]\sqrt[7]{a^{5} }[/tex] is the correct answer.

Find the perimeter and the area of the composite shape..

Answers

Answer:

I think that it is 39.2 but i'm not 100% sure

Step-by-step explanation:

Hope this helps!

A parabola has a vertex at (-1,0) and opens down. What is the equation of the parabola?

Answers

Answer:

y = -(x + 1)^2

Step-by-step explanation:

I graphed the parabola on the graph below so you can see that it has a vertex at (-1,0) and opens down.

Which congruence theorem can be used to prove △WXZ ≅ △YZX? Triangles W X Z and Y Z X share side X Z. Angles W X Z and X Z Y are right angles. Angles X W Z and X Y Z are congruent. AAS ASA SAS HL

Answers

Answer:

The correct option is AAS.

Step-by-step explanation:

Consider the diagram below.

It is provided that The triangles △ WXZ and △ YZX share a side XZ.Angles ∠WXZ and ∠XZY are right angles.Angles ∠XWZ and ∠XYZ are congruent.

If two angles are congruent it implies that they are same in degrees or radians.

So, the angles ∠XWZ and ∠XYZ are equal.

So, in the diagram below, one of the triangles have two angles that are equal to the corresponding angles on the other triangle and the two triangles share a side.

Then according to the Angle-Angle-Side (AAS) statement the triangles △ WXZ and △ YZX are congruent.

Thus, the correct option is AAS.

The congruence theorem that can be used to prove that △WXZ ≅ △YZX is; AAS

We are told that;

ΔWXZ and ΔYZX share side XZ

∠WXZ and ∠XZY are right angles

∠XWZ and ∠XYZ are congruent

Now, from the given parameters, we can say that from reflexive property of congruence, XZ is congruent to itself and thus, we have one side of both triangles that is congruent.

Secondly, since ∠WXZ and ∠XZY are right angles, it means they are equal and therefore congruent to each other.

Lastly, we are told that ∠XWZ and ∠XYZ are congruent.

In summary, we have 2 corresponding angles and one corresponding side that are equal but the corresponding side is not with the included angles and as such the triangles are congruent by AAS Congruency.

Read more about AAS Congruency at; https://brainly.com/question/7727792

What type of correlation does this graph show?
strong positive correlation
weak positive correlation
strong negative correlation
weak negative correlation
no correlation

Answers

Answer:

Weak positive correlation

Step-by-step explanation:

Because it can’t be strong otherwise the points would have been very close to the line of best fit

A recipe instructs the cook to use 4 cups of water for each 3 cups of powder. If you used 10 cups of water, how much powder should be added?

Answers

Answer:

8 cups

Step-by-step explanation:

hope I could help

don’t really quite understand this question.

Answers

Answer:

D.

Step-by-step explanation:

Because its three times as much as 42 so its opposite of multiplication so its division with is also 3x=42 and to solve that you divide 3x by 3 and just get x then you divide 42 and 3 and u get your answer( im not gonna do the math lol)

B


This is Because you don’t really think about 42×3 equals X but another way to form this equation would be X divided by three equals 42.

All instruments used in the song see you again?

Answers

Answer:

Of course Piano,keyboard and guitar.

The following are the last 10 run scores Colin got in cricket: 23, 20, 4, 19, 28, 35, 25, 0, 1, 30 a) Work out Colin's mean score. b) Colin plays cricket again on Sunday. He gets 35 runs. What is his new mean score? Give your answers as decimals. Anyone help I hate maths lol

Answers

Answer:

I have given it step by step below.

Step-by-step explanation:

(i) Mean = sum of observations/total no. of observation

= 23 + 20  + 4 + 19 + 28 + 35 + 25 + 0  +1 + 30/ 10

= 185/10

= 18.5

(ii) additional 35 runs

New Mean

=previous total  + 35/10 + 1     (the 1 gets added in denominator because of                                           the additional observation)

= 185 + 35/11

= 220/11

= 20

Hope this helps you!

[tex]x^{3} =216[/tex]

Answers

Answer:

x = ±6

Step-by-step explanation:

=> [tex]x^3 = 216\\[/tex]

Taking cube root on both sides

=> x = ±6

a wooden cylinder beam of length 5 meters has a radius of 210cm. the wood density is 693kg/m
i) calculate the volume of the beam in cubic meters
ii) calculate the mass of the beam in kilograms.

Answers

Answer:

Cylinder Volume   =   π • r² • height

Volume = PI * .210 m^2 * 5

Volume = 0.6927211801 cubic meters

Wood has a mass of 693 / cubic meter

mass = 0.6927211801 * 693 = 480.06 kilograms

Step-by-step explanation:

△ABC has vertices at A(1, 1), B(2, 3), and C(3, 1). △DEF has vertices at D(–1, 1) , E(–2, 4), and F(–3, 1). Is △ABC congruent to △DEF? Choose the correct response.

Answers

Answer:

sorry I don't know understand

Observa las dimensiones del siguiente portarretrato, y escribe la expresión que determina el área disponible para la fotografía del portarretrato.

Answers

Answer:

D

Step-by-step explanation:

The dimensions of the portrait are attached.

The total area of the portrait is represented by its width 5+x and its length x+1.

We know by definition that the area of a rectangle is

[tex]A= w \times l[/tex]

Where [tex]w[/tex] is the width and [tex]l[/tex] is the length.

Using the given expressiones, we have

[tex]A=(5+x)(x+1)=5x+5+x^{2} +x=x^{2} +6x+5[/tex]

Therefore, the right answer is D.

Which of the binomials below is a factor of this
trinomial?
x²+x-12
O A. x + 6
O B. X-6
O C. x+4
O D. X-4​

Answers

Answer:

C

Step-by-step explanation:

The answer is X+4

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

(a) According to the Ministry of Health, the height of Guinean travellers who were quarantined in Tamale for the novel coronavirus were normally distributed about a mean of 160cm and a standard deviation of 8cm. Find the probability that a traveller selected at random has (a) Height between 148cm and 175cm (b) Height above 164cm (c) Height below 179cm

Answers

Answer:

a) [tex]P(148<X<175)=P(\frac{148-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{175-\mu}{\sigma})=P(\frac{148-160}{8}<Z<\frac{175-160}{8})=P(-1.5<z<1.875)[/tex]

[tex]P(-1.5<z<1.875)=P(z<1.875)-P(z<-1.5)= 0.970-0.0668= 0.9032[/tex]

b) [tex]P(X>164)=P(\frac{X-\mu}{\sigma}>\frac{164-\mu}{\sigma})=P(Z>\frac{164-160}{8})=P(z>0.5)[/tex]

[tex]P(z>0.5)=1-P(z<0.5)= 1-0.691= 0.309[/tex]

c) [tex]P(X<179)=P(\frac{X-\mu}{\sigma}<\frac{179-\mu}{\sigma})=P(Z<\frac{179-160}{8})=P(z<2.375)[/tex]

[tex]P(z<2.375)= 0.991[/tex]

Step-by-step explanation:

Let X the random variable that represent the heights of Guinean travels , and for this case we know the distribution for X is given by:

[tex]X \sim N(160,8)[/tex]  

Where [tex]\mu=160[/tex] and [tex]\sigma=8[/tex]

Part a

We are interested on this probability

[tex]P(148<X<175)[/tex]

We can ue the z score formula given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Using this formula we got:

[tex]P(148<X<175)=P(\frac{148-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{175-\mu}{\sigma})=P(\frac{148-160}{8}<Z<\frac{175-160}{8})=P(-1.5<z<1.875)[/tex]

And we can find this probability with this difference using the normal standard distribution or excel:

[tex]P(-1.5<z<1.875)=P(z<1.875)-P(z<-1.5)= 0.970-0.0668= 0.9032[/tex]

Part b

[tex]P(X>164)=P(\frac{X-\mu}{\sigma}>\frac{164-\mu}{\sigma})=P(Z>\frac{164-160}{8})=P(z>0.5)[/tex]

And we can find this probability with this difference using the normal standard distribution or excel:

[tex]P(z>0.5)=1-P(z<0.5)= 1-0.691= 0.309[/tex]

Part c

[tex]P(X<179)=P(\frac{X-\mu}{\sigma}<\frac{179-\mu}{\sigma})=P(Z<\frac{179-160}{8})=P(z<2.375)[/tex]

And we can find this probability with this difference using the normal standard distribution or excel:

[tex]P(z<2.375)= 0.991[/tex]

Point A is located at (0, -2) and is rotated 180°. What are the coordinates of point A'?

Answers

Answer: The coordinates will be  (0,2) after a  180 degrees rotation.

Step-by-step explanation:

                  90         180

 (0,-2) →    ( -2,0)→   ( 0,2)

Answer:

(0,2)

Step-by-step explanation:

Rule for a rotation of 180° about the origin: [tex](x,y)\rightarrow(-x,-y)[/tex]

We are given the point (0, -2).

Applying the rule:

[tex](0,-2)\rightarrow(0,2)[/tex]

A' should be at (0,2).

The student body has 190
students. In how many ways
can it elect a president, vice-
president, secretary?

Answers

Answer:

6751080 different ways

Step-by-step explanation:

President: 190 choices

Vice president 189 choices

secretary: 188 choices

190*189*188 =6751080 different ways

What are the roots of 3x^2+10=4x

Answers

2sqrt3/3, -2sqrt3/3
hope this helps

Holly and Tamar completed the work in the table to determine if a triangle with side lengths of 40, 42, and 58 is a right triangle. Holly’s Work Tamar’s Work (40 + 42) squared = 58 squared. 82 squared = 3,364. 6,724 not-equals 3,364. The triangle is not a right triangle. 42 squared + 40 squared = 58 squared. 1,764 + 1,600 = 3,364. 3,364 = 3,364. The triangle is a right triangle.
Which best describes the accuracy of their solutions?
A. Holly is correct.
B. Tamar is correct.
C. Neither Holly nor Tamar is correct.
D. Both Holly and Tamar are correct.

Answers

Answer:

B. Tamar is correct.

Step-by-step explanation:

A triangle can be proven as a right angle triangle if  it follows Pythagoras theorem. The pythagoras theorem can be use to know if a triangle is right angled triangle. Therefore, pythagoras theorem is expressed as

c² = a² + b²

where

c = hypotenuse sides

a and b can be any of the opposite or adjacent sides.

The hypotenuse side is the longest side so the triangle with length side of 40, 42 and 58 will have the hypotenuse as 58 . The other sides will be the opposite and adjacent sides

c² = a² + b²

58² = 40 ² + 42²

3364 = 1600 + 1764

3364 = 3364

Therefore, it obeys Pythagoras principle. Tamar's work is correct . The triangle is a right angled triangle.

Answer:

B

Step-by-step explanation:

find the first term 43, 39, 35, 31, 27,

Answers

Answer:

23

Step-by-step explanation:

the difference between each number in the sequence is 4. Taking 4 away from 27 gives you 23

Hope this helps!

Find the volume of the cone
Either enter an exact answer or answer in terms of Pi or use 3.14 for Pi and round your final answer to the nearest hundredth

Answers

Answer:

12pi

Step-by-step explanation:

The area of a cone is [tex]\frac{1}{3} \pi r^2 h[/tex], or in this case:

[tex]\dfrac{1}{3}\pi \cdot 3^2 \cdot 4=12\pi[/tex]

Hope this helps!

What is the equation of the line of best fit that Frank drew?
A: Y = -3x + 12
B: Y = -3x + 16
C: Y = 1/3x +12 (/ means fraction)
D: Y = 1/3x + 16​

Answers

Answer:

The answer is actually not an option here. The answer is y=-1/3x+16

Kelli does the grocery shopping for her family of four. The net income for the
household is $4,500 a month and she aims to spend 13 percent a month on
groceries. Kelli has decided to begin using a cash system for grocery shopping.
How much cash should Kelli pull out weekly to use at the grocery store?

Answers

Answer:

$585

Step-by-step explanation:

simply find 13% of 4500. 0.13 x 4500 is $585

Please help me with this!!

Answers

Answer: Second picture, B

Step-by-step explanation:

Sine is opposite/hypotenuse. Since this is inverse sine, we are looking for the measure of the angle, but the opposite /hypotenuse still applies to sine. We need to find the figure that has 5 opposite of ∠x and 8.3 is the hypotenuse.

We can eliminate C and D because 8.3 is not the hypotenuse, when it has to be according to sine.

The first picture shows that 8.3 is the hypotenuse, but 5 is not opposite of ∠x. It is adjacent to ∠x. This would actually be cos⁻¹(5/8.3).

The second picture, B, shows that 5 is the opposite of ∠x and 8.3 is the hypotenuse. Therefore, B is correct.

Answer:

C

Step-by-step explanation:

[tex]sin^{-1} x = csc x\\[/tex]

sin = [tex]\frac{opposite}{hypotenuse}[/tex]

[tex]csc = \frac{1}{sin} = \frac{1}{\frac{opposite}{hypotenuse}} = \frac{hypotenuse}{opposite}[/tex]

hypotenuse is 5 and opposite is 8,3 -----> third option

Which value in scientific notation is the best estimate for 0.0000058102?
A. 5 x 10-5
B. 6 x 10-5
C. 5 x 10-6
D. 6 x 10-6​

Answers

Answer:

D

Step-by-step explanation:

0.0000058102 can be rounded to 0.000006.

5 x 10^-5 = 0.00005

6 x 10^-5 = 0.00006

5 x 10^-6 = 0.000006

6 x 10^-6​ = 0.000006

The closest answer to the estimate is option D.

Answer:

ggttttttttttttt

Step-by-step explanation:

Alguien que tenga la caridad de explicarme como se hace esto o que me de la respuesta

Answers

Answer:

El angulo mide 150 grados.

Step-by-step explanation:

I have attached the work to your problem // Agregué una foto con tu trabajo.

Please see the attachment below // Mirala abajo.

I hope this helps! // Espero que te ayude mi foto. Saludos de Colombia.

Rory records the percentage of battery life remaining on his phone throughout a day. The graph represents the percentage of battery life remaining after a certain number of hours. A graph titled Phone Battery Life. The horizontal axis shows Elapsed Time (hours) numbered 2 to 20, and the horizontal axis shows Battery Life (%) numbered 10 to 120. A line begins at 100% in 0 hours, to 20% in 8 hours, to 100% from 10 to 12 hours, to 60% in 16 hours, to 100% from 17 to 20 hours. At which times could Rory's phone have been plugged into the charger? Select three options. 6 hours 9 hours 11 hours 14 hours 19 hours

Answers

Answer:

9,11,19

Step-by-step explanation:

let x be the hours and y the percentage

x=0 , y=100

x=8 , y=80

x=9  , y=0

x=10 , y=100 , x=11 still charging so it is still plugged in

x=16 , y=60 and so on ....

x=18  , y=20

and it will charged again

the answer is 9,11,19

help plz!!!!!!!!!!!!!!!!!!!!

Answers

2: V = 330 m^2

3: V = 144 m^2

Step-by-step explanation:

All the figures shown are rectangular prisms.

You can find the volume of a rectangular prism through this formula:

[tex]V = wlh[/tex], where w is the width, l is the length, and h is the height.

To find the volume of a composite figure, find the volume of each smaller figure, then add them together.

Question 2: 330 m^2

V = 3 * 5 * 6 (smaller prism)

V = 8 * 5 * 6 (larger prism)

smaller prism = 90 m^2

larger prism = 240 m^2

240 + 90 = 330 m^2

Question 3: 144 m^2

V = 3 * 4 * 2 (small prism 1)

V = 3 * 4 * 2 (small prism 2)

V = 12 * 4 * 2 (large prism)

small prisms: 24 m^2

large prism: 96 m^2

24 + 24 + 96 = 144 m^2

Other Questions
a/50 = 3/5 Solve for a by cross multiplying then divide. Who is the author (or authors) of the document found poetry ROI and Residual Income The following investment opportunities are available to an investment center manager: Project Initial Investment Annual Earnings A $ 800,000 $ 90,000 B 100,000 20,000 C 300,000 25,000 D 400,000 60,000 Required: a. If the investment manager is currently making a return on investment of 16 percent, which project(s) would the manager want to pursue How many atoms are contained in 97.6 g of platinum (Pt)? What thoughts and feelings have you had about the protests thathave taken place? OMG THIS QUESTION IS SO HARD WILL RATE IF YOU GET IT What do we know about the character from the following passage?"if I keep my feet. Felipe Sandoz said with soft venom, 'who are you to crawl for me?" Please help Ive been stuck on this forever !!!!! Plz answer them I need answers ASAP What is the disease called that increases your age with extreme progression? Sirens and flashing lights do NOT indicate that _____ may be nearby. The average amount of a beverage in randomly selected 16-ounce beverage can is 16.18 ounces with a standard deviation of 0.4 ounces. If a random sample of sixty-five 16-ounce beverage cans are selected, what is the probability that the mean of this sample is less than 16.1 ounces of beverage? Answer: (round to 4 decimal places) The lunch lady has 4 pounds of lasagna. If she makes 1/3-pound servings using this amount of lasagna, how many servings can she make? plants have the ability to make there own growth ______while heterotrophs must consume theirs. The optical microscope is regularly used to identify bacteria and viruses. In 1918 the Spanish Flu infected almost one third of the world and was thought to be caused by bacteria. However, a virulent virus was the cause of the Spanish Flu. From what we have learned throughout this lab on microscopy, why weren't scientists able to identify the Spanish Flu with a microscope? Can someone help me please? Their new claims in America gave the Dutch an area rich in fur-bearing animals and farmland.TrueFalse Read Jessicas argument about pet ownership:Although pet ownership is a huge responsibility, pets can help people become physically and psychologically healthier. Studies show pet owners tend to have lower blood pressure, reducing their risk of heart disease and stroke. Studies also show that pet owners suffer fewer and less severe instances of depression and anxiety.How can Jessica better introduce her claim?A.State her reasons separately from her claim.B.Move her reasons and evidence into separate paragraphs.C.Provide background information, such as statistics about how many people in the United States own pets.D.Give details from the studies she mentions, such as statistics about the health of pet owners versus the health of non-pet owners. What is f(-2)?-3-113 Complete the sentences by writing a correct list.