Answers
Saturn mass = 6 x 10^26 = 6,000 x 10^23
6000/3 = 2000
so answer is bottom right
Saturn has about 2,000 times more mass
Related Questions
What are the spherical coordinates of the point whose rectangular coordinates are (4,1,4)?
Answers
The spherical coordinates for the given rectangular coordinates (4,1,4) can be calculated using formulas for the transformation. They approximately yield (sqrt(33), 0.505, 1.540).
Explanation:In mathematics, we can convert rectangular coordinates to spherical coordinates using given formulas. Here, we have the rectangular coordinates (4,1,4). The transformation from rectangular to spherical involves three-step calculations:
First, calculate the radial coordinate, r, which is the distance from the origin to the point. It is given by r = sqrt(x^2 + y^2 + z^2).Second, find the polar angle, theta, measured relative to the vertical z-axis. It is given by cos(theta) = z/r.Lastly, find the azimuthal angle, phi, measured relative to the x-axis. It is given by cos(phi) = x/(r*sin(theta)).
Applying the formulas, we get: r = sqrt(4^2 + 1^2 + 4^2) = sqrt(33), theta = cos^-1(4/sqrt(33)) which is approximately 0.505, and phi = cos^-1(4/sqrt(33)*sin(0.505)) which is approximately 1.540.
So, the spherical coordinates of the point whose rectangular coordinates are (4,1,4) are approximately (sqrt(33), 0.505, 1.540).
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what is the product x 2-16/2 x+8 . x3-2x2+x/x2+3x-4
Answers
------------- * ---------------------
2x+8 x^2 + 3x -4
(x+4)(x-4) x (x - 1)(x - 1)
= ----------------- * ----------------------
2(x+4) (x + 4)(x - 1)
x(x- 4) (x - 1)
= -----------------
2 (x + 4)
Answer:
A on Edge 2021
[tex] \frac{x(x - 4)(x - 1)}{2(x + 4)} [/tex]
Find the surface area of a regular pentagonal prism with side length 8, altitude 20, and apothem approximately 5.5
Answers
The surface area of a regular pentagonal prism can be found by calculating the area of the pentagonal bases and the area of the rectangular sides and then summing those areas together.
Explanation:Calculating the Surface Area of a Regular Pentagonal Prism
To find the surface area of a regular pentagonal prism with given dimensions, we need to calculate the area of two components: the area of the pentagonal bases and the area of the rectangular sides (also called the lateral faces). We are given that the side length (s) of the pentagon is 8 units, the prism's altitude (h), or height, is 20 units, and the apothem (a) is approximately 5.5 units.
Firstly, the area of a pentagon (Apentagon) is calculated using the formula Apentagon = ½ * perimeter * apothem, where the perimeter (P) of a regular pentagon is the side length multiplied by 5. Thus, the area of one pentagonal base is ½ * 5 * 8 * 5.5. Next, to find the entire area of the two pentagonal bases, we multiply this result by 2.
The area of each of the rectangular sides can be found by multiplying the side length by the prism's altitude. Since there are 5 identical rectangular sides in a regular pentagonal prism, their total area is 5 * 8 * 20.
Adding these two results together gives us the total surface area of the prism. So, the formula for the surface area is Total Surface Area = (2 * ½ * 5 * 8 * 5.5) + (5 * 8 * 20).
A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function h(t)=52t-16t^2 . What is the maximum height that the ball will reach? Do not round your answer.
Height: ________Feet
Answers
We know that in this case the vertex is at a maximum height because the leading coefficient is negative. If it were positive, then the vertex would be at the lowest point, in other words, they would ask you to solve for the lowest point. In this case we are solving for the highest point.
Primarily, we can use the axis of symmetry formula to solve for the x-coordinate of the vertex which demonstrates the time the object takes to reach its apex. Once we find the t or the x-coordinate, we can plug it back into the equation to solve for the h or height.
Axis of symmetry formula: -b/ 2a
(b) is 52 in this case. (a) is -16 in this case. Just plug the numbers in but be mindful of the signs included in the formula.
-(52)/ 2(-16) = -52/-32
The quotient would be a terminating decimal: 1.625
Therefore, the time it takes for the ball to reach its highest point would be 1.625 seconds. Now you can plug this number back in as a substitution for the variable t and you can solve for h.
h = -16(1.625)^2 + 52(1.625)
h = -16(2.640625) + 84.5
h= -42.25 + 84.5
h = 42.25
Therefore, the maximum height that the ball will reach in 1.625 seconds is 42.25 feet.
The maximum height would be 42.25 feet that the ball will reach.
What is the velocity?Velocity is defined as the displacement of the object in a given amount of time and is referred to as velocity.
A vertical upward throwing of a ball Its height h after t seconds (in feet) is given by the function h(t) = 52t - 16t²
Here h(t) = 52t - 16t²
Differentiate with respect to t to get maximum height
h'(t) = 52 - 2 × 16t
h'(t) = 52 - 32t
In this position, the acceleration would be zero,
So 0 = 52 - 32t
32t = 52
t = 52/ 32
t = 1.625
Substitute the value of t = 1.625 in the given function,
⇒ h = 52(1.625) - 16(1.625)²
⇒ h = 84.5 - 42.25
⇒ h = 42.25
Therefore, the maximum height would be 42.25 feet that the ball will reach.
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The formula can be used to find the velocity v in feet per second of an object that has fallen h feet. Find the velocity of an object that has fallen 25 feet. Round your answer to the nearest tenth.
Answers
The formula:
v1^2-v0^2=2aS
where
v0=initial velocity (0 if object falls from rest), ft/s
v1=velocity reached after falling a distance S, ft/s
S=distance from initial position, positive downwards (for falling objects), ft
a=acceleration due to gravity, 32.2 ft/s^2 in imperial units
So substituting numbers, assuming initial velocity is zero (from rest), then
S=25 ft
v1^2-0^2=2*32.2*25
v1^2=1610
v1=sqrt(1610)
=40.1 ft/s
a star is 3.4 light years from earth. if 1 light years is 5.87×10^12 mi, how many miles from earth is the star?
Answers
3.4 * 5.87х10^12 miles
In a case whereby a star is 3.4 light years from earth. if 1 light years is 5.87×10^12 mi, the number of miles from earth the star is can be expressed as [tex]3.4 * 5.87 * 10^12 miles[/tex]
How can the number of miles be calculated?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given that star=3.4 light years from earth
1 light years= [tex]5.87*10x^{12} miles[/tex]
The number of miles from earth is
[tex]3.4 * 5.87 *10^{12} miles\\\\=3.4 * 5.87 * 10^12 miles[/tex]
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Write 935.97 in expanded form
Answers
hope it helps
Rewrite the equation in standard form and identify a, b, and c. 2x^2 + 6x - 9 = 3x^2 - 11x - 7
Answers
Subtract 2x^2 from both sides
6x - 9 = x^2 - 11x - 7
Substract 6x from both sides
-9 = x^2 - 17x - 7
Add 9 to both sides
0 = x^2 - 17x + 2
a = 1
b = -17
c = 2
What is the area of a parallelogram with a base of 20 inches and an altitude of 8 inches?
Answers
The area of a parallelogram with a base of 20inches and an altitude of 8 inches is 160 inches square.
What is a parallelogram in math?
A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles identical). A quadrilateral with equal sides is called a rhombus, and a parallelogram whose angles are all right angles is referred to as a rectangle.
Conclusion: The opposite sides are equal in length and the opposite angles are identical in degree. To find the area, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.
A = base * altitude
A = 20 * 8
A = 160 inches square.
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Which if the following is the smallest value 0.79, 2.40, 3.00007, 0.424, or 100?
Answers
hope this helps
The smallest value is 0.424
-----------------------------------------------------------------------------
You might think that 0.79 is the smallest one but it also has 0 which is not written. 0.790 is bigger than 0.424
I hope that helps!
Ricky is filling an 8 inch by 4 inch by 4 1/2 inch rectangular box with packing peanuts. The peanuts are cubes that come in two different sizes ,1 cubic inch and 1/8 inch .How many peanuts of each size are needed to fill the box?
Answers
8 of the 1/8 inch=1 of the 1 cubic inch
He could do 144 and 0
143 and 8
142 or 16
Or just keep following the pattern... Hope that helped
“the sum of eight and twice w”
Answers
Sum is +
twice w=2w
Sum of 8 and 2w
8+2w
hope this helps:)
please mark thanks and brainliest:)
Answer:
the expression is [tex]8+2w[/tex]
Step-by-step explanation:
WE need to write the expression for the given statement
“the sum of eight and twice w”
Expression represents the terms that contains variables and operations. the variable we use for the expression is 'w'
Difference represents the subtraction operation.
Sum represents the addition operation.
twice 'w' means 2 times w that is 2w
the sum of 8 and 2w
For sum we use '+'
so ,the expression becomes [tex]8+2w[/tex]
The length of the hypotenuse is:
0.
1.
2.
4.
Answers
divide the base by the sin of the opposite angle
base = 2
opposite angle = 30 degrees
2/sin(30) = 4
x = 4
Which of the following is a polynomial with roots negative square root of 5, square root of 5, and −3?
x^3 − 2x^2 − 3x + 6
x^3 + 2x^2 − 3x − 6
x^3 − 3x^2 − 5x + 15
x^3 + 3x^2 − 5x − 15
Answers
Based on the historical record what is the empirical probability that the city will be hit by a tornado
Answers
Can segments with lengths of 36, 48, and 60 form a triangle? If so, would the triangle be acute, right, or obtuse?
Answers
Here we have 36+48=84 > 60, so the three segments form a triangle.
Since the ratio of the sides are 36 : 48 : 60 form the ratio of 3:4:5, which is exactly the ratio of a right triangle, we conclude that the triangle is a right triangle.
Segments with lengths of 36,48 and 60 can form a triangle. By employing the Pythagorean Theorem, we find that this is a right triangle as the lengths adhere to the theorem.
Explanation:The question asks if segments with lengths of 36, 48, and 60 can form a triangle, and if so, the type of the triangle. Yes, these segments can form a triangle. To classify the triangle as obtuse, right or acute, we use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as c^2 = a^2 + b^2. Substituting our values: 60^2 equals to 36^2+48^2 (3600 = 1296+2304). Since both sides of the equation are equal, we get the conclusion that this is a right triangle.
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ΔABC has three sides with these lengths: AB = 9, BC = 40, and CA = 41. What is the value of cos C?
Answers
40*40 = 1600
9* 9 = 81
so a^2 = b^2 + c^2
1681 = 1600 + 81
1681 = 1681 ...it's right triangle
CA = 41 = Hypo.
cosC = Adj / Hypo
cosC = BC / CA = 40/41
answer
cosC = 40/41
Answer:
The correct answer is
C 40/41
Step-by-step explanation:
In a glide reflection, what comes first and what comes second?
first the glide, and second another glide
first the glide, and second a reflection
first the reflection, and second another reflection
first the reflection, and second a glide
Answers
In a glide reflection, the reflection comes first and the glide comes second.
Explanation:In a glide reflection, first the reflection is applied, and second a glide is performed. The reflection is a transformation that flips the shape across a line of reflection, while the glide is a transformation that slides the shape along a vector. The combination of the reflection and glide creates a glide reflection.
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Write 337,060 in expanded form using exponents
Answers
A pilot can travel 540 miles with the wind in the same amount of time as 380 miles against the wind. Find the speed of the wind if the pilots speed in still air is 230 miles per hour.
Answers
540/(230+w)=380/(230-w)
540(230-w)=380(230+w)
124200-540w=87400+380w
124200-920w=87400
-920w=-36800
w=40
So the wind speed is 40 miles per hour.
How do I answer this question?
Answers
this box can be packed with 48 unit cubes the edge length each unit cube is 1 meter what is the voume of the box
Answers
Answer:
48 cubic meters.
Step-by-step explanation:
48x1
unit meter is cubic meters
how do write an equation to represent a real world situation?
Answers
In a circle of radius 25 inches, a central angle of 35 degrees will intersect the circle forming an arc of length ____
Answers
arc length = (central angle/360) x 2 x PI x r
= (35/360) x 2 x 3.14 x 25
=15.2638
round answer as needed, you don't say how to round it.
Write the quadratic function in the form g(x)= a (x-h)^2 +k . Then, give the vertex of its graph. g(x)=3x^2+30x+72
Writing in the form specified: g(x)= ___
Vertex:___
Answers
is a perfect square trinomial
now, let's take a closer look at the middle guy
is just 2 * guy on the left * guy on the right
so the middle term is just the product of the two terms of the binomial, without the exponent, or square rooted, and 2
alrite... that said.... now let's do some grouping
[tex]\bf g(x)=3x^2+30x+72\implies g(x)=(3x^2+30x)+72 \\\\\\ g(x)=3(x^2+10x)+72\implies g(x)=3(x^2+10x+\boxed{?}^2)+72[/tex]
so hmm we're missing the guy on the right there... who may that be?
well, we know the middle term is 10x, wait a minute, 10x is just 2 * 5 * x
so, if the guy on the left is "x", the other guy must be "5", 2*5*x = 10x
now, what we do is, we add 5²
however, bear in mind that, all we're doing is, borrowing from our very good friend Mr Zero, 0
so, if we add 5², we also have to subtract 5², so +5² - 5²
let's do so
[tex]\bf g(x)=3(x^2+10x)+72\implies g(x)=3(x^2+10x\boxed{+5^2-5^2})+72 \\\\\\ \textit{let's take out the negative from the group} \\\\\\ g(x)=3(x^2+10x+5^2)+\boxed{3(-5^2)}+72 \\\\\\ g(x)=3(x^2+10x+5^2)-75+72\implies g(x)=3(x+5)^2-3 \\\\\\ g(x)=3[x-(-5)]^2-3[/tex]
[tex]\bf \qquad \textit{parabola vertex form}\\\\ \begin{array}{llll} y=a(x-{{ h}})^2+{{ k}} \end{array} \qquad\qquad vertex\ ({{ h}},{{ k}})\\\\ -------------------------------\\\\ \begin{array}{lcclll} g(x)=3[x-&(-5)]^2&-3\\ &\uparrow &\uparrow \\ &h&k \end{array}[/tex]
Preston goes on a camel safari in Africa. They travel 5 km north, then 3km east and then 1 km north again. What distance did he cover? What was his displacement?
Answers
what was his displacement? well, he has a north displacement of 6, 5 + 1, and a horizontal displacement of 3, check picture below.
so, his total displacement is "c" northeast.
The total distance Preston covered on his camel safari is 9 km, and his displacement is 6.71 km toward the northeast.
Determining Distance and Displacement
To answer the student's question about Preston's journey during his camel safari, we need to consider the definitions of distance and displacement.
Distance is the total length of the path traveled regardless of direction. In Preston's case, he traveled 5 km north, then 3 km east, and then 1 km north again. Therefore, the total distance covered is the sum of these individual distances
Displacement, on the other hand, measures the change in position from the starting point to the final point and is direction-dependent. It is a vector quantity with both magnitude and direction. To find the displacement, we can represent Preston's movement on a coordinate system with north being the positive y-direction and east being the positive x-direction.
From the starting point, moving 5 km north and then 1 km north results in a total of 6 km in the positive y-direction.
The magnitude of the displacement can be calculated using the Pythagorean theorem:
√((6 km)² + (3 km)²) = √(36 km² + 9 km²) = √(45 km²) = 6.71 km (rounded to two decimal places)The direction of the displacement would be to the northeast. Therefore, Preston's displacement is 6.71 km toward the northeast.
2^-1 ∙ 2^-4 is what?
Answers
When the power is minus just flip the number and make it denominator and make the power positive
(a^b)(a^c)=a^(b+c)
In this case:
(2^-1)(2^-4)
2^(-1-4)
2^-5 which is equal to:
1/(2^5)
1/32
What is the next number of 2 7 8 3 12 9
Answers
Answer with Step-by-step explanation:
We are given a pattern
2 7 8 3 12 9
and we are asked to find the next term of this pattern
2+1=3
7+5=12
and 8+1=9
We can view this pattern in the set of three numbers and then, the next three are formed by adding one, five & one, respectively.
See these COLUMNS of groups of three:
2 3 4
7 12 17
8 9 10
Hence, next number in the pattern is:
4
What is a ratio equivalent to 8/10 with lower terms
Answers
In this case the gcf is 2 so you divide both 8 and 10 by 2, and you get 4/5.
A road crew spread 1 1/3 tons of gravel evenly over 8 feet of road.how many tons of gravel did they spread on each foot of road?