Suppose a white dwarf star has a diameter of approximately 1.8083 to the power of 4 km. Use the formula 4n to the power of 2 to find the approximate surface area of the star.

Answers

Answer 1

ANSWER:

The surface area of the star is 3.2700 x [tex]10^{8}[/tex] square kilometres.

EXPLANATIONS:

Diameter of the star = 1.8083 x [tex]10^{4}[/tex] Km.

Surface area of the star = 4[tex]n^{2}[/tex]

Where n is the radius of the star.

So that;

n = [tex]\frac{ 1.8083 * 10^{4} }{2}[/tex]

   = 0.90415 x [tex]10^{4}[/tex]

n =  0.90415 x [tex]10^{4}[/tex] Km

Thus,

Surface area = 4 x [tex](0.90415*10^{4} )^{2}[/tex]

                     = 326994889

Surface area = 3.2700 x [tex]10^{8}[/tex] [tex]km^{2}[/tex]

Therefore, the surface area of the star is 3.2700 x [tex]10^{8}[/tex] square kilometres.


Related Questions

What is the solution of -3x < -21

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9x8

Step-by-step explanation: the 8 is the to the power btw

plz help fast
plz pick a b c or d​

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Answer:

C (H. x=3)

Step-by-step explanation:

It wants a line where both sides are equal. Since the parabola is opening upward, it has to be an x= equation. That rules out F and J. Next you count out the points to the vertex on the x axis, which seems to be 3. This means that the line is x=3, or H(c)

A basketball player makes 8 of 22 shots in game 1, 6 of 15 in game 2, and, 10 of 23 in game 3. What percent of the shots did the player make in the three games?

Answers

Answer:

50

Step-by-step explanation:

the answer is 50 because you have to add 22+15+23=50 then you add the makes which is 8+7+10=25. Then time both by 2 because percent means per one hundred which means the bottom has to equal 100 so time 50x2=100, So 25x2=50

You estimate that your kitchen remodeling project will require an electrician for 30 hours, a plumber for 33 hours and a carpenter for 18 hours . If the electrician charges $34.75 per hour , the plumber charges $30.00 per hour and the carpenter charges $28.65 per hour, what is the expected cost of labor for the project ?

Answers

The answer to this question is

$2,584.20

A rectangular prism has a length of 714 inches, a width of 612 inches, and a height of 10 inches.

Raj has another prism that has dimensions that are each double the dimensions of the first rectangular prism.

How many times greater is the volume of the larger prism than the volume of the smaller one?

Answers

Answer:

8 times

Step-by-step explanation:

The volume of the prism:

V = lwh

If each of the dimensions is doubled, then the volume becomes:

V₁ = 2l*2w*2h = 8lwh = 8V

The larger prism has 8 times greater volume

Help me plzzzzzzzzzzzzzzzzzz.

Answers

Answer:

C i think

Step-by-step explanation:

pls mark brainlyest

A stack of Nichols has a mass of 45 g there are nine Nichols in the stack what is the mass of one nickel

Answers

Answer:

5 grams for each nickle

Step-by-step explanation:

Brainleiest plz.

I divided 45 and 9 and got 5

Find the distance between the points (-10,-7) and (2,9).

Answers

20 (units)

Distance formula is:

Sqrt of (x-x1)^2+(y-y1)^2

So define which coordinate is (x,y) and what (x1,y1)

I’m going to define (-10,-7) as (x,y) and (2,9) as (x1,y1)

So plug in your variables!

Sqrt(-10-2)^2+(-7-9)^2

Sqrt-12^2+-16^2

Sqrt144+256

Sqrt400

So sqrt of 400 is 20! :))

The number of people who have heard a rumor is modeled by the logistic function f(x)=2601+23e−0.06x
, where x is the number of days since the rumor began.

Approximately how many days have passed when the rate at which the rumor spreads begins to decrease?

Answers

Answer:

C

Step-by-step explanation:

The number of people who have heard a rumor is modeled by the logistic function:

[tex]\displaystyle f(x)=\frac{260}{1+23e^{-0.06x}}[/tex]

And we want how many days has passed since the rate at which the rumor spread began to decrease.

First, the numerator tells us that the total number of people who will have heard the rumor by the end is 260.

Recall that the point of maximum growth is always half of the maximum capacity.

In this case, that point will be 260/2 = 130.

For a logistic function, the rate of all values to the left of the halfway point is increasing, (i.e. concave up), while the rate of all values to the right is decreasing (i.e. concave down). Therefore, we can solve for x when f(x) = 130:

[tex]\displaystyle 130=\frac{260}{1+23e^{-0.06x}}[/tex]

Cross-multiply:

[tex]130(1+23e^{-0.06x}})=260[/tex]

Distribute:

[tex]130+2990e^{-0.06x}=260[/tex]

Solving for x:

[tex]2990e^{-0.06x}=130[/tex]

Therefore:

[tex]\displaystyle e^{-0.06x}=\frac{130}{2990}=\frac{1}{23}[/tex]

Taking the natural log of both sides:

[tex]\displaystyle -0.06x=\ln\Big(\frac{1}{23}\Big)[/tex]

Therefore:

[tex]\displaystyle x=\frac{\ln(1/23)}{-0.06}\approx52.3[/tex]

After about 52.3 days, the rate at which the rumor started spreading will begin to decrease.

Describe an inverse function is and how they compare graphically.

Answers

The function and the inverse of the function are reflections across the line y = x. How are the graphs of a function and its inverse related? The graph of an inverse of a function f -1(x) is the reflection of the graph of the function f(x) across the line y = x.
So if you're asked to graph a function and its inverse, all you have to do is graph the function and then switch all x and y values in each point to graph the inverse. Just look at all those values switching places from the f(x) function to its inverse g(x) (and back again), reflected over the line y = x.

Help plzz will mark brainlist

Answers

Answer:

the top one!

Step-by-step explanation:

how do i find the measure of these? i’m lost in math

Answers

Answer: Answers and work are all in the picture that I attached. Hope this helps

I need help with this real quick

Answers

Answer:

19m

Step-by-step explanation:

Multiply 3 and 6m

18m+m

Now you can add to get your answer

19m

Hope this helps!!!

Have a great day!!!!!

What Is The Highest Common Factor in 160 and 4800​

Answers

Answer: the greast common factor between the two is 160

Step-by-step explanation: Find the prime factorization of 160

160 = 2 × 2 × 2 × 2 × 2 × 5

Find the prime factorization of 4800

4800 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 2 × 2 × 2 × 2 × 5

Hope this helps and thanks again for helping me :)

Today, everything at a store is on sale. The store
offers a 20% discount. The regular price of a T-shirt is
$20.
How much money would you save today on the shirt?

Answers

Answer:

you would save 4$

Step-by-step explanation:

plz quick solve for f

Answers

Answer: f = 100

Step 1.

We'll need to expand 3(f - 91) by multiplying a term and an expression. The following product distributive property will be used: A(B + C) = AB + AC.

In the example, the expression will consist of 2 terms.

First term: 3 and f.

Second term: 3 and -91

Rewrite 3(f - 91) like this.

3f - 3 × 91

Step 2.

Multiply 3 by 91.

3 × 91 = 273

Hence, the answer is 100.

PLEASE HELP CORRECT ANSWERS ONLY 20 POINTS
I have a prism with the dimension of 6cm by 12cm by 15 cm. Calculate the volume of the prism, and then give the dimensions of three different prisms that each have 1/3 of thr volume.
Prism 1
Prism 2
Prism 3

Answers

Answer:

Volume = 1080 cubic cmPrism 1 = 2 cm by 5 cm by 36 cmPrism 2 = 3 cm by 10 cm by 12 cmPrism 3 = 4 cm by 6 cm by 15 cm

====================================================

Explanation:

To find the volume of the current prism, we multiply length width and height to get 6*12*15 = 1080

Take 1/3 of this to get (1/3)*1080 = 360

To find three different prisms where they have a volume of 360, we just need to think of ways to multiply to 360 using 3 numbers.

Here are some possibilities:

2 * 5 * 36 = 3603 * 10 * 12 = 3604 * 6 * 15 = 3604 * 9 * 10 = 3608 * 9 * 5 = 360

There are other possibilities as well, but you only need to pick three from that list. Or you can come up with other combos as well as long as the three numbers multiply to 360.

If we go with the first three rows for prisms 1, 2, and 3 in that exact order, then

prism 1 has dimensions: 2 cm by 5 cm by 36 cmprism 2 has dimensions: 3 cm by 10 cm by 12 cmprism 3 has dimensions: 4 cm by 6 cm by 15 cm

Can somebody help me with B. And C. Please

Answers

Answer:

B) $150 for 15 hours

C) 25 hours

Step-by-step explanation:

B) (15, 150)

C) (25, 250)

Solve the equation using the Zero-Product Property. (x - 8)(5x - 6) = 0

Answers

Answer: 1.2 or 5 (there’s two solutions)

Step-by-step explanation:)

Which representation models a proportional relationship between x and y? (Look at picture)
х
3
a
х
y
2 20
4 30
6 40
8 50
b
on w
y
18
30
36
60
6
10
101
8
8 6
6
18
16
14
12
104
8
6
4
2
4
2
х
х
0 1 2 3 4 5 6 7 8 9
0 1 2 3 4 5 6 7 8

Answers

Answer:

b)

Step-by-step explanation:

In every single other option, the y is not corresponding in amount to x. However in b), y is 6 times x, making b the correct answer as it is the only solution where y is directly corresponding to x

Find the perimeter of the square shown below.

A=100 cm2

Answers

I can’t see an image.

In isosceles triangle NTS, NT ≌ TS. If m∠N = 42° and NS = 30 cm, find the length of the altitude of △NTS. (Round answer to the nearest tenth.)

Answers

Answer:

13.5 cm

Step-by-step explanation:

The altitude of the base of the isosceles triangle bisects the vertex angle, <T, and also bisects the base, NS.

Therefore, NS is divide into two, 15 cm each.

This means we now have two right triangles from the isosceles triangle with the following:

Reference angle = 42°

Opposite = altitude = h

Adjacent = 15 cm

To find h, apply trigonometric function, TOA:

Tan 42 = Opp/Adj

Tan 42 = h/15

15 * Tan 42 = h

h = 13.5060607 ≈ 13.5 cm (nearest tenth)

Please need help on this one h as be no clue how to do this

Answers

Answer:

y = -2x

Step-by-step explanation:

Equation in slope-intercept form is y = mx + b.

m = slope = ∆y/∆x

Using any two points on the line, say (0, 0) and (-20, 40),

Slope (m) = (40 - 0) / (-20 - 0) = 40/-20

Slope (m) = -2

b = y-intercept = the value of y when x = 0.

b = 0

To write the equation of the line, substitute m = -2 and b = 0 into y = mx + b

Thus:

y = -2x + 0

y = -2x

2/3 x 2/3 *Simply your answer if you can

Answers

Answer:

1 and 1/3

Step-by-step explanation:

2 * 2 = 4, 4/3 is 1 and 1 /3

Answer:

4/9

Step-by-step explanation:

What are the factors of 6x2+37x−60?

3x−4 and 2x+15
3x+4 and 2x−15
2(x−2) and 3(x+5)
2(x+2) and 3(x−5)


.

Answers

Answer:

Ansswers: 3x-4 And 2x+15

The factors of the polynomial, 6x²+37x−60, are: 3x−4 and 2x+15.

What are the Factors of a Polynomial Equation?

Factors of a polynomial are the product of a polynomial expression. They multiply to given a polynomial.

Given:

6x²+37x−60

Factorize

6x²+37x−60 = (3x−4)(2x+15)

Therefore, the factors of the polynomial, 6x²+37x−60, are: 3x−4 and 2x+15.

Learn more about factors of polynomial on:

https://brainly.com/question/280849

Hellppp plzzz!
Given right triangle DEF, what is the value of cos(F)?​

Answers

The answer to this is A

Dude it is A!!!!!!!!!!!!!!!!!!

The sale price of a diving board is $213. What was the original price if it was 25% off?

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If the original price was 25% off then it would be $284

What is the surface area of the rectangular prism?

Answers

Answer:

its c

Step-by-step explanation:

Answer:

121.96 cm

Step-by-step explanation:

A=2(wl+hl+hw)

=2*(4.6*2.8+6.5*2.8+6.5*4.6)

PLEASE ANSWER THE PIC BELOW

Answers

The range is the difference between the highest and the lowest numbers in the set. The highest is 68 and the lowest is 39. 68-39=29

If 6.5 pounds of strawberries cost 20$ what's the unit price?

Pls I’ll give brainlyest

Answers

Answer:

should be 3.07 (when rounded to the nearest  hundredth)

Step-by-step explanation:

Answer: $3.08 per pound of strawberries.

Unit price is 3.08/1

Step-by-step explanation: The unit price is how much 1 point of strawberries cost.

To find the unit price divide 20 by 6.5.

20/6.5 = about $3.08.

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