MATHEMATICS HIGH SCHOOL

The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula P = a Superscript three-halves. If Saturn’s orbital period is 29.5 years, what is its distance from the sun?

Answers

Answer 1

Answer:

Answer:

9.54731702 astronomical units

Step-by-step explanation:

$P=a^{(3)/(2) }$

Substitute this value in the equation above:

$29.5=a^{(3)/(2) }$

⇒ $(29.5)^{(3)/(2) } =a$

⇒ $a=9.54731702$ $astronomical$ $units$

Hence, its distance from the sun is 9.54731702 astronomical units.

Answer 2

Answer:

its a

Step-by-step explanation:

on edge 2022

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The table below shows the distance y, in miles, traveled by a toy car in x minutes:Time (x) (minutes) 20 30 40 50 Distance (y) (miles) 5 10 15 20 Part A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and distance traveled by the toy car. (4 points) [Choose the value of correlation coefficient from 1, 0.8, 0.5, 0.02] Part B: What is the value of the slope of the graph of distance versus time, and what does the slope represent? (3 points) Part C: Does the data in the table represent correlation or causation? Explain your answer. (3 points)

Daniel has $25 to spend at the fair. The admission to the fair is $4, and the rides cost $1.50 each. Daniel rides x rides at the fair. What inequality represents this situation?*
5 points

Option 1 4+1.50r<25

Option 2 4+1.50r>25

Option 3 4r+1.50>25

Option 4 4r+1.50<25

Answers

Answer:

option 1 4+1.50r<25 is the answer

Solve the following system of equations using elimination (addition)5x - 6y = - 32

3x + 6y = 48

Answers

Answer:

x = 2

y = 6 1/3

Step-by-step explanation:

5x - 6y = -32

3x + 6y = 48

-----------------

8x = 16

x = 2

5(2) - 6y = 48

10 - 6y = 48

-6y = 48 - 10

-6y = 38

y = 6 1/3

A+√b) (a-√b .)is equal to

Answers

Value of given multiply a² - b

Given that;

(a+√b)(a-√b)

Find:

Value of given multiply

Computation:

(a+√b)(a-√b)

Formula used;

⇒ (a + b)(a - b) = a² - b²

So,

⇒ (a+√b)(a-√b)

⇒ (a)² - (√b)²

⇒ a² - b

Learn more:

brainly.com/question/6421635?referrer=searchResults

Answer:

Step-by-step explanation:

$a^(2) - a√(b) + a√(b) - b^(2) \n= a^(2) - b^(2) or (a+b) . (a-b)$

Leif knows that the land area of the United States is approximately 9 x 10^6 square kilometers. He is traveling to Norway to visit her grandfather. He knows the land area of Norway is approximately 3 x 10^4 square kilometers. About how many times greater is the land area of the United States than that of NorwayA.3
B.30
C.300
D.3000
Work must be shown

Answers

Answer:

Option C.300

Step-by-step explanation:

we know that

To find out how many times greater is the land area of the United States than that of Norway, divide the area of the United States by the area of the Norway

$(9*10^6)/(3*10^4)$

Remember that

To divide exponents (or powers) with the same base, subtract the exponents

$(9*10^6)/(3*10^4)=((9)/(3))*(10^(6-4) )=3*10^2=300$

How can i solve x^3+7x=8x^2

Answers

$x^3+7x=8x^2\ \ \ /-8x^2\n\nx^3-8x^2+7x=0\n\nx(x^2-8x+7)=0\iff x=0\ \vee\ x^2-8x+7=0$

$x^2-8x+7=0\n\na=1;\ b=-8;\ c=7\n\n\Delta=b^2-4ac;\ x_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\Delta=(-8)^2-4\cdot1\cdot7=64-28=36;\ \sqrt\Delta=√(36)=6\n\nx_1=(8-6)/(2\cdot1)=(2)/(2)=1;\ x_2=(8+6)/(2\cdot1)=(14)/(2)=7\n\n\n\nAnswer:x=0\ or\ x=1\ or\ x=7.$

$x^3+7x=8x^2\n \nx^3-8x^2+7x =0\n \nx(x^2-8x+7)=0\n \nx=0 \ \ \vee \ \ x^2-8x+7 =0\n \n \Delta = b^(2)-4ac =(-8)^(2)-4*1*7=64 - 28 = 36$

$x_(1)=(-b-√(\Delta ))/(2a) =(8- √(36))/(2)=(8-6)/(2)= (2)/(2)= 1 \n \nx_(2)=(-b+√(\Delta ))/(2a) =(8+ √(36))/(2)=(8+6)/(2)= (14)/(2)= 7 \n \n Answer : x=0 \ \ \vee \ \ x=1 \ \ \vee \ \ x= 7$

HELP IN THIS PLS I'LL DIRECTLY MARK YOU BRAINLIST!!]

Answers

Answer:

24 cars

Step-by-step explanation:

By using 11 cars and AED 79.75, you can find out the cost of washing 1 car.

(AED 79.75)/(11 cars) = AED 7.25 / car

Now we divide AED 174 by AED 7.25/car to find the number of cars.

(AED 174) / [(AED 7.25)/car] = (174/7.25) cars = 24 cars

Answer: 24 cars

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