The distance of Saturn from the Sun by the orbital period formula is 9.54732 astronomical units
What is orbital period?Orbital period is the time period, which is required for a planet or one astronomical body to revolve completely around the other body.
The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula
[tex]P =a^{3/2}[/tex]
The orbital period of Saturn is 29. 5 years. To find the value of distance of Saturn from the Sun, put the values in the above formula as,
[tex]29.5=a^{3/2}\\a=29.5^{3/2}\\a=9.54732\rm[/tex]
Thus, the distance of Saturn from the Sun by the orbital period formula is 9.54732 astronomical units.
Learn more about the orbital period here;
https://brainly.com/question/1566620
A restaurant needs to order stools and chairs. Each stool has 3 legs and each chair has 4 legs. The
manager wants to be able to seat 36 people. The restaurant has hard wood floors and the manager
doesn't want to scratch them. Therefore, they have ordered 129plastic feet covers for the bottom of the
legs to ensure the stools and chairs don't scratch the floor. How many chairs and how many stools did
the restaurant order?
Answer:
44
Step-by-step explanation:
if this is the question from edge then trust me
7x3+32+100= so some people don’t know this (likely my cousin) so first u do 7x3=21 and then 21+32=53 so then you add 53+100=153 boom! You got the answer (I’m in year 9)
Answer:
153
Step-by-step explanation:
7x3+32+100=153
Give brainiest cause you greatest person alive
find the value of x in the polygon
Answer:
x = 13 5/13°
Step-by-step explanation:
The sum of angles in a hexagon is 180°(6 -2) = 720°. That means ...
(8x +16°) +(12x -8°) +(7x +2°) +(9x +4°) +(6x +10°) +(10x) = 720°
52x +24° = 720° . . . . . . collect terms
52x = 696° . . . . . . . . subtract 24
x = 13 5/13° . . . . . . divide by 52
_____
Additional comment
The angles, in the same order, are approximately ...
{123.077°, 152.615°, 95.6923°, 124.462°, 90.3077°, 133.846°}
Binomials: Expand (2a+3)^3 (PLEASE ANSWER QUICKLY)
Answer:
[tex]8 {a}^{3} + {36a}^{2} + 54a + 27 \\ [/tex]
Explanation:
Binomial theorem,
[tex] {(p + q)}^{3} = {p}^{3} + 3 {p}^{2} q + {q}^{3} [/tex]
what is the correct factorization of 6x^2 -2x -20?
Please get correct!
→ 6x² - 2x - 20
→ 6x² + 10x - 12x - 20
→ x(6x + 10 ) - 2 (6x + 10)
→ (6x + 10) (x - 2) .
for
6x - 10 = 0
6x = 10
[tex]{x\:=\:\frac{5}{3}}\\[/tex]
for x - 2
x = 2
The factored form of the expression is (6x+10)(x-2)
How to factorize expressionGive the quadratic expression
6x^2 -2x -20
On factorizing
6x^2 -2x -20
6x^2 -12x + 10x -20
6x(x-2) + 10(x-2)
(6x+10(x-2)
HEnce the factored form of the expression is (6x+10)(x-2)
Learn more on factorization here: https://brainly.com/question/25829061
What is the equation of the line that contains the point (-1, 4) and has a slope of 3?
Acellus
Find the volume of this figure.
[?] = cubic units
Enter
What is the volume?
Answer:
36
Step-by-step explanation:
length=6
width=3
height=2
6 x 3 x 2 = 36
How do I find the surface area of 2 and 3 Plss helpppp
Find the surface area in square inches of a right circular cylinder with a diameter of 1 foot and height of 1 foot
Answer:
678.58416 square inch
Step-by-step explanation:
4.71239ft² = 678.58416 square inch
Solve for x.
4x−2=6
Enter your answer in the box.
Answer:
The answer is 2 because change -2 to 2 and add two to 6 which will equal to 8 then divide it by 4 to get the answer 2.
Answer:
x=2
Step-by-step explanation:
4x−2=6
4x=6+2
4x=8
4x÷8
x=2
What is 0.1326 as a unit rate?
Answer:
0.13
Step-by-step explanation:
because you have to round up when the fourth number is from 0-4 it stays the same but when its from 5- and up it goes up one
What is the area of rhombus PQRS?
Answer:
370.1
Step-by-step explanation:
i just got the answer
What is the quotient of 2,914 ÷ 37?
Answer: 79 when rounded
Step-by-step explanation:
Answer:
its 787567567568
Step-by-step explanation:
write -2x^3(4x^3+5x^6) in standard form, classify the degree and find the end behavior.
A) -8x^6-10x^9; 6th degree; up to down.
B) -10x^9-8x^6; 9th degree; up to down.
C) -10x^9-8x^6; 9th degree; down to up.
D) -8x^9-10x^18; 9th degree; up to down.
Answer:
[tex]-10x^9 - 8x^6[/tex]; up to down
Step-by-step explanation:
[tex]-2x^3(4x^3+5x^6)[/tex]
[tex]-2x^3(4x^3) + -2x^3(5x^6)[/tex]
[tex]-8x^6 + -10x^9[/tex]
[tex]-10x^9 - 8x^6[/tex]
Hope this helps!
4. 9 + (11 + 46) = (9+
.) + 46
Answer:
156.5
Step-by-step explanation:
first you want to add 4.9+(11+46) that equals to 61.9
second you want to save that number and add 9+.)+46=94.6
add both of them together 61.9+94.6=156.5
Write the point slope form of the equation of the line through the given point and slope:
PLEASE EXPLAIN. (STEP BY STEP)
Step-by-step explanation:
the general point-slope form is
y - y1 = m(x - x1)
with (x1, y1) being a point on the line, and m being the slope.
so,
y - -1 = 4/3 × (x - 3)
or simplified
y + 1 = 4/3 × (x - 3)
Are the points (4,3), (7,3), (4,0), (7,0) a rectangle, trapezoid, parallelogram, or square?
square, the points (4,3) (7,3) (4,0) (7,0) add up to become a square!
What is the coefficient in 5x + 13?
(please answer this immediate)
Answer:
The answer is 5
Step-by-step explanation:
The coefficient in any equation is the numerical or constant quantity placed before multiplying the variable.
Please help need to get too 80%
Answer:
the scale factor is 5:36.
Step-by-step explanation:
To solve the question, we note that 1 yard = 3 feet and 1 feet = 12 inches
Where the scale of the drawing is 5 inches = 1 yard,
we have the scale of the drawing is 5 inches = 36 inches
5 inches is equivalent to 36 inches in real life
That is the scale is 5 is to 36 which is 5:36.
There are 15 chairs arranged evenly around t tables. Choose the expression that shows how many chairs are at each table.
Answer:
15/t
Step-by-step explanation:
15 chairs per table
(/) is used instead of the word 'per'
There are four students working on a project in math class. Miguel has completed 1/8 of the project, Gina has completed 13% of the project, Jatziry has completed 0. 10 of the project, and Kwa has completed 1/9 of the project. Make a list of the students in order from least to greatest by the amount of the project they have completed.
There are a few methods to doing this, but lets make every number a fraction. (You could make them all percentages or decimals if you want, but it is more difficult in my opinion.)
Miguel: 1/8
Gina: 13/100
Jatziry: 10/100 = 1/10
Kwa: 1/9
Now we need to find the least common denominator, which is 1800.
Now you have these fractions:
Miguel: 225/1800
Gina: 234/1800
Jatziry: 180/1800
Kwa: 200/1800
Now you can easily list these in order
180/1800 < 200/1800 < 234/1800 < 225/1800
Jatziry < Kwa < Gina < Miguel
Sorry if I made any mistakes, I realized Jatziry was a part of the problem halfway through.
Let P be the set of polynomials. Let a, b, c, and d be elements of P such that b and d are nonzero elements of P.
Which statement about this product must be true?
a/b times c/d
A.
The product is a polynomial.
B.
The product is a rational number.
C.
The product is an integer.
D.
The product is a rational expression.
Answer:
A. The sum is a rational expression
Step-by-step explanation:
we are given
2/a+ c/d
we are given that
'b' and 'd' are non-zero values
So,
a/b is a rational number
c/d is a rational number
we can see that both are added
So, sum of rational expression is also a rational expression
so...
A. The sum is a rational expression
Answer:
The correct answer is D. The product is a rational expression.
Step-by-step explanation:
I got it right on the Plato test.
Mark cast a shadow that is 4 feet long. At the same time, a nearby tree casts a shadow that is 20 feet long. If mark is 6 feet tall, how tall is the tree?
Answer:
30 ft
Step-by-step explanation:
We can use the given information to set up a ratio...
[tex]\frac{Mark's\ height}{Mark's\ shadow}=\frac{Tree's\ height}{Tree's\ shadow}[/tex]
[tex]\frac{6\ ft}{4\ ft}=\frac{x}{20\ ft}[/tex]
We can solve this ratio using cross multiplication (multiply the numerator of the first fraction by the denominator of the second and the numerator of the second fraction by the denominator of the first):
120 = 4x
Divide both sides by 4
x=30 ft
Find the area of the parallelogram 11 mm 22 mm
Answer:
Ok well come how are you there
Which statements are true for the following expression? 30 · (8 + 7 + 3) Check all that are true. The solution is the product of two factors. The second factor is itself the sum of three terms. The solution is the sum of two terms. The coefficient is 3. The second factor is the sum of two terms.
Answer:
True:
The solution is the product of two factors.
The second factor is itself the sum of three terms.
False:
The solution is the sum of two terms.
The coefficient is 3. (This one I'm confused about. There is no x/letter term, so there shouldn't be a coefficient in this problem at all.)
The second factor is the sum of two terms.
A bag contains 3 red marbles, 6 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that all three marbles drawn will be green?
Question 5 of 12, Step 1 of 1
Correct
-
Joan has $5.40 worth of change in nickels and dimes. If she has 4 times as many nickels as dimes, how many of each type of coin does she have?
Answer:
18 dimes and 72 nickels
Step-by-step explanation:
If Joan has 4 nickels per dime, that means that she will have change in groups of 30 cents (4*5=20+10=30). If we divide 5.40 by 0.30, we get 18. We now know there are 18 groups of 30 cents. One dime per group of 30 cents means that there are 18 dimes, and 4 nickels per group of 30 cents means that she has 72 (4*18) nickels.
Now to check our math:
[tex]72n+18d=5.40\\72(0.05)+18(0.10)=5.40\\3.60+1.80=5.40\\5.40=5.40[/tex]
Our math adds up, which means that we got the right answer :)
Harold works at a men's clothing store, which
- marks up its retail clothing by 27%.
The store purchases pants for $74.00, suit
Jackets for $325.00 and dress shirts for
$48.00. How much will Harold charge a
customer for a pair of pants, a dress shirt and
a suit jacket?
Answer:
$567.67
Step-by-step explanation:
1. 74 + 325 + 48 = 447
2. 447 + (0.27)(447) = 447 + 120.67
3. 447 + 120.67 = 567.67
The nth term of a sequence is 3n squared.
What is the 15th term
Answer:
2025
Step-by-step explanation:
3n² is our nth term
n=15
thus....
(3×15)²
= 45²=2025
Hopefully this helped- have a great day)
If sin(3x + 5)º = cos(4x + 1)º, what is the value of x? Explain how you derived your
answer