As Mercury revolves around the sun, it travels at a rate of approximately miles per second. Convert this rate to kilometers per second. At this rate, how many kilometers will Mercury travel in seconds? In your computations, assume that mile is equal to kilometers. Do not round your answers.

Answers

Answer 1

Answer:

Step-by-step explanation:

There are a lot of conversion factors involved in this question.

First of all the radius of Mercury's orbit is 0.4 times that of the earth. The earth's distance from the sun is about 93 million miles. So Mercury's distance or radius is 93 * 0.4 = 37.2 million miles.

The circumference = 2 * pi * r

The circumference = 6.28 * 37200000 = 233616000  miles

This is accomplished in 88 days.

88 days [24 hours/day] * [3600 sec / hour] = 7603200 seconds

88 days = 7603200 second

Rate of travel = miles / second

Rate of travel = 233616000 / 7603200

Rate of travel = 30.726 miles / second

This number was not given so I had to derive it. The official number does not disagree a great deal from this number. It just depends on what constants you use.

1 mile = 1.6 km

30.725 miles = x           Cross multiply

x = 1.6 * 30.725

x = 49.16 km/ second

I cannot go any further because you have not provided any givens. The answers do vary quite a bit because I have assumed that Mercury's orbit is a circle. It really is not. It is more like an ellipse.  

The official speed in km/sec = 47 which means the answer I have given is very close. A more accurate answer would require that you put the numbers in the blanks that you were given.


Related Questions

what is 479.96 ÷ 129.72? one answer​

Answers

Answer:

3.69996916435

Step-by-step explanation:

Answer:

the answer is 3.69996916

the answer in one number would be 4 because it's rounded to the nearest whole number

Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square. How many tiles
will he need?
8 cm
20 cm
Dmitri will need
18 cm
glass tiles.

Answers

9514 1404 393

Answer:

  968

Step-by-step explanation:

The area of the top and sides is given by the formula ...

  A = LW +2H(L +W)

  A = (20 cm)(18 cm) +2(8 cm)(20 cm +18 cm)

  A = (360 +16(38)) cm² = 968 cm²

Since the tiles are 1 cm², 968 tiles are needed.

can you please help me ​

Answers

45 divided by x=9 would be the answer. 45/5=9

Answer:

The answer is b.

Step-by-step explanation:

45 divided by 5 is 9

You can double check by doing 5*9

help please I'm not the smartest lol ​

Answers

Answer:

Acute angle

Step-by-step explanation:

The table gives information about the heights of 35 girls.
Height (h metres)
Frequency
1.30 11
1.40 9
1.50 7
1.60 6
1.70 2.
2
(a) Find the class interval that contains the median.
(b) Work out an estimate for the mean height.

Answers

Answer:

use ratio method but you start with division

3^-3 simplify the expression​

Answers

Answer:

.037037037

Step-by-step explanation:

Answer:

1/1

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator. GCD of 3 and 3 is 3.

3 ÷ 33 ÷ 3.

Reduced fraction: 11. Therefore, 3/3 simplified to lowest terms is 1/1.

Ann is mailing packages. Each small package costs her $2.10 to send. Each large package costs her $3.30. How much will it cost her to send 6 small packages
and 7 large packages?

Answers

Answer:

$35.70

Step-by-step explanation:

small package: 2.10×6=12.60

large package: 3.30×7=23.10

total: 23.10+12.60=35.70

2(a+b)+ 4m(a+b) factor out the greatest common factor​

Answers

Step-by-step explanation:

Find the Greatest Common Factor (GCF).

[tex]gcf = 2(a + b)[/tex]

Factor out the GCF.

[tex]2(a + b)( \frac{2(a + b)}{2(a + b)} + \frac{4m(a + b)}{2(a + b)} [/tex]

now, Simplify each term in parentheses.

[tex]2(a + b)(1 + 2m)[/tex]

hence, if we factor out the GCF (greatest common factor), we get the answer 2 (a + b) (1 + 2m).

Parallelogram MNPQ was dilated to create parallelogram M'N'P'Q'.

On a coordinate plane, 2 parallelograms are shown. Parallelogram M N P Q has points (2, negative 2), (4, negative 2), (3, negative 3), and (1, negative 3). Parallelogram M prime N prime P prime Q prime has points (5, negative 5), (10, negative 5), (8, negative 7), and (3, negative 7).

Which statements are true about the parallelograms? Select three options.

The length of side MN is 2 units.
The length of side M'N' is 5 units.
The image is smaller than the pre-image.
Sides MQ and M'Q' both have the same slope, 1.
The scale factor is Two-fifths.

Answers

Answer:

134

Step-by-step explanation:

yeah no

“Snoqualmie” is a name shared by a waterfall and a tribe of Native Americans. In a study of the cultural importance of the waterfall, two groups of the Snoqualmie tribe were randomly surveyed. One group consisted of Snoqualmie members living less than 25 miles from the waterfall. Another group consisted of Snoqualmie members living more than 25 miles from the waterfall. The researchers asked each member to rate the cultural importance of the waterfall as low, medium, or high. Data from the study are presented in the following table.

Answers

Answer: E ( (17)(50)/88 )

Step-by-step explanation:

(Row total * column total) / table total

The number 36 is 1296 of:​

Answers

squareroot

√1296 = 36

HOPE IT HELPS

PLEASE MARK ME BRAINLIEST ☺️

2 Select the correct answer. Adrianna is using exponential functions to model the value, in whole dollars, of two investments. She represents the value of investment A with a description of its key features and the value of investment B with a table. In both cases, xis the number of years she has held the investment.​

Answers

Answer: A.  

Both investments are decreasing in value, and investment A is decreasing in value faster.

Step-by-step explanation:

¿para cuantos días alcanza una bolsa de 7,5 kg de alimento balanceado, si la ración diaria que le dan al perro de paula equivale a las dos quintas partes de 1kg?

Answers

Answer:

7,5*1000/2=37,5

Step-by-step explanation:

Determine whether the given value makes a true statement.
NO LINKS-DRIVES-DOCS ETC.
WILL MARK BRAINLYEST
EARN LOTS OF POINTS​

Answers

Answer:

How can you determine whether a given number makes an equation true?

Determine whether a number is a solution to an equation.

   Substitute the number for the variable in the equation.

   Simplify the expressions on both sides of the equation.

   Determine whether the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.

Given: RT ≅ TV and ST ≅ TU
Prove: RSVU is a parallelogram.

Quadrilateral R S V U is shown. Diagonals are drawn from point R to point V and from point S to point U and intersect at point T. The lengths of R T and T V are congruent. The lengths of U T and T S are congruent.


Statements

Reasons
1. RT ≅ TV;
ST ≅ TU 1. given
2. ∠RTS and ∠VTU are vert. ∠s;
∠RTU and ∠VTS are vert. ∠s 2. definition of vertical angles
3. ∠RTS ≅ ∠VTU;
∠RTU ≅ ∠VTS 3. vertical angles are congruent
4. ? 4. SAS congruency theorem
5. ∠VRS ≅ ∠RVU; ∠USR ≅ ∠SUV;
∠VRU ≅ ∠RVS; ∠RUS ≅ ∠USV 5. CPCTC
6. ∠VRS and ∠RVU, ∠USR and ∠SUV, ∠VRU and ∠RVS, ∠RUS and ∠USV are each a pair of alternate interior angles 6. definition of alternate interior angles
7. RS ∥ UV and RU ∥ SV 7. converse of the parallelogram diagonal theorem
8. RSVU is a parallelogram 8. definition of parallelogram
What is the missing statement in step 4?

△RTS ≅ △VTU and △RTU ≅ △VTS
△RTS ≅ △RVS and △RTU ≅ △STV
△VRS ≅ △VRU and △USR ≅ △USV
△VUR ≅ △VUS and △UVS ≅ △SRU

Answers

Answer:

△RTS ≅ △VTU and △RTU ≅ △VTS should be your answer :)

Answer:

A

Step-by-step explanation:

Simplify 5 to the 2nd power * 5 to the 9th power

Answers

Answer:

Thee first one is 25 and the second one is 1,953,125

Step-by-step explanation:

You just times each one by five. If you want to simplify it tho it would be as the first one is 12,5 the second one is 976562.5. Hope it helps


5 to the 11th power. (2+9=11)
For exponents with the same base, we keep the same base and add the exponents

The graph represents the number y of attendees to a market research conference after x years.
Write an exponential function that represents the number of attendees to the conference.

Answers

Ok, I hope im right. (Others correct me if im not. But when I worked out this problem I got y is approximatly 4,882 attendees after 6 years.

Gathering info from the graph I created a table

(0,20) , (1,30) , (2,45), ...

I found the difference between the points listed. For example, 30÷20 is 1.5. So, each point is multiplied times 1.5 to continue the sequence.

Use the equation: y=a(1+r)^t

Remember what each variable stands for. That way you can plug in the correct information

Continuing..

y=a(1+r)^t

y=20(1+1.5)^t ; combine like terms

y=20(2.5)^t

b) Plug in the # of years. 6 in our case, everywhere you see a t

y=20(2.5)^6

y is approximately equal to 4882.8125

Round because we can only have whole numbers. we're talking about people.

I hope I got this right. But, if not, I tried

ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]
D
126%
AK
> C
B
Angles are not drawn to scale.
Enter

Answers

Answer:

x=154°

Step-by-step explanation:

x+126=180 supplementary

x=180-126=54

Answer please and explain

Answers

Answer:

Volume of cone = 72 ft³

Step-by-step explanation:

diameter = 6ft

radius = 3ft

height = 8ft

Volume of a cone = [tex]\frac{\pi r^2h}{3}[/tex]

V = (3 × 3 × 3 × 8)/3

V = 72 ft³

Answer:

V ≈  72 ft³

Step-by-step explanation:

Given that volume (V) is calculated using

V = [tex]\frac{\pi r^2h}{3}[/tex] ( r is the base radius and h the height )

Here diameter d = 6 then r = 6 ÷ 2 = 3 and h = 8 , then

V = [tex]\frac{3(3^2)(8)}{3}[/tex] ( cancel 3 on numerator/ denominator )

   = 9 × 8

   = 72 ft³

which of the following statements are true of the discriminant?

Answers

Answer:

A,B,C

Step-by-step explanation:

The first three which is A, B, and C

Function g is a transformation of the parent sine function such that g(x) = sin(x - pi) - 2. which graph represents function g?

(answer choices in the picture)

Answers

The graph of the function g is graph (c)

How to determine the graph of function g?

The function g is given as:

g(x) = sin(x - pi) - 2

The transformation of the parent function that gives the function g is:

Translate the parent function to the right by pi unitsTranslate the parent function downward by 2 units

Using the above highlight as a guide, the graph of the function g is graph (c)

Read more about function transformation at:

https://brainly.com/question/26092237

Answer:

its graph c, i got it correct on endgenuity

Step-by-step explanation:

100 POINTS PLEASE HELP
Heather is building a ladder for her tree house. She will need 13 feet of lumber for each stilt and 2 feet of lumber for each rung on the ladder. How many feet of lumber does she need for a ladder with 2 stilts and 12 rungs?
29 feet because 2 + 13 + 12 + 2 = 29
50 feet because 2 (13) + 12 (2) = 50
160 feet because 13 (12) + 2 (2) = 160
210 feet because (2 + 13) (12 + 2) = 210
right answer gets brainiest

Answers

Answer: It's B 50

Step-by-step explanation:

Use the remainder theorem and synthetic division to find f(k) for the given value of k.

Answers

Answer:

3

Step-by-step explanation:

Given that,

[tex]f(x) =-x^3-8x^2-15x+3[/tex]

We need to find the value of  f(x) when k = -5

Put x = -5 in th  given function.

So,

 

[tex]f(-5) =-(-5)^3-8(-5)^2-15(-5)+3\\\\=3[/tex]

Hence, the value of the given function is equal to 3.

Find the Surface Area
of the Triangular
Prism Net

Each mark represents 1
centimeter.

PLS HELP!! WILL MARK AS BRAINLYIST!!!

Answers

Answer:

119 sq cm

Step-by-step explanation:

(5 * 8) + (4 * 8 * 2) + (5 * 3)

Answer:

116

Step-by-step explanation:

4×3=12

8×5=40

4×8×2=64

12+40+64=116

CAN SOMEONE PLZ ANSWER THIS ITS DUE AT 11:59 APRIL 11 2021 AND ILL MARK U BRAINLIST

ITS ON THAT PICTURE PLZ

Answers

Answer:

C. 586.2 cm²

Step-by-step explanation:

Area of the figure = area of triangle + area of rectangle + area of semicircle

= (½*b*h) + (L*W) + ½(πr²)

Where,

b = 18 cm

h = 7 cm

L = 22 cm

W = 18 cm

π = 3.14

r = ½(18) = 9 cm

Substitute

Area = (½*18*7) + (22*18) + ½(3.14*9²)

Area = 63 + 396 + 127.17

Area = 586.17 ≈ 586.2 cm²

13. Using figure 1, angles 5 and 6 form a linear pair, If mz6=95", find m25.
a. 5°
b. 85"
c. 90°
d.95"
14. In figure 1, 25 and 28 are vertical angles. If m2s 2x + 45 and m28= 7x - 15
What is the value of x ?
a.6
b. 12
c.9
d. 21



paki answer po plss​

Answers

In the figure, angles 1 and 5 are alternate exterior angles. Use the Alternate Exterior ... each pair of alternate interior angles is congruent. ... 1 and 3. SOLUTION: If the radiation rays form parallel lines, then ∠1 and ... supplementary; since 3 and 5 are a linear pair, ... ∠8, ∠9 and ∠10, ∠11 and ∠12, and ∠13 and ∠14.

Find the median of the data in the dot plot below.

Answers

Answer:

41

Step-by-step explanation:

41 cause its the middle

A student researcher compares the ages of cars owned by students and cars owned by faculty at a local state college. A sample of 263 cars owned by students had an average age of 7.25 years. A sample of 291 cars owned by faculty had an average age of 7.12 years. Assume that the population standard deviation for cars owned by students is 3.77 years, while the population standard deviation for cars owned by faculty is 2.99 years. Determine the 90% confidence interval for the difference between the true mean ages for cars owned by students and faculty. Step 1 of 3: Find the point estimate for the true difference between the population means.

Answers

Answer:

The point estimate for the true difference between the population means is 0.13.

The 90% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -0.35 years and 0.61 years.

Step-by-step explanation:

To solve this question, before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When we subtract two normal variables, the mean is the subtraction of the means while the standard deviation is the square root of the sum of the variances.

A sample of 263 cars owned by students had an average age of 7.25 years. The population standard deviation for cars owned by students is 3.77 years.

This means that:

[tex]\mu_s = 7.25, \sigma_s = 3.77, n = 263, s_s = \frac{3.77}{\sqrt{263}} = 0.2325[/tex]

A sample of 291 cars owned by faculty had an average age of 7.12 years. The population standard deviation for cars owned by faculty is 2.99 years.

This means that:

[tex]\mu_f = 7.12, \sigma_f = 2.99, n = 291, s_f = \frac{2.99}{\sqrt{291}} = 0.1753[/tex]

Difference between the true mean ages for cars owned by students and faculty.

Distribution s - f. So

[tex]\mu = \mu_s - \mu_f = 7.25 - 7.12 = 0.13[/tex]

This is also the point estimate for the true difference between the population means.

[tex]s = \sqrt{s_s^2+s_f^2} = \sqrt{0.2325^2+0.1753^2} = 0.2912[/tex]

90% confidence interval for the difference:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = zs = 1.645*0.2912 = 0.48[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 0.13 - 0.48 = -0.35 years

The upper end of the interval is the sample mean added to M. So it is 0.13 + 0.48 = 0.61 years.

The 90% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -0.35 years and 0.61 years.

HELP ITS TIMED WILL GIVE BRAINLYIST

Answers

Answer:

C

Step-by-step explanation:

The width of a rectangle is 2 3/8 inches. The rectangle is 1 3/4 inches longer than it is wide Find the Length of the rectangle and preimeter of the rectangle

Answers

Answer:

We need to find length and width.  To find two unknowns we need two equations.

P = 2L + 2W = 34

L = W + 3

34 = 2(W + 3) + 2W

34 = 2W + 6 + 2W

28 = 4W

W = 7

L = 7 + 3 = 10

The length is 10 inches and the width is 7 inches.

Step-by-step explanation:

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