I had some trouble with my astronomy work. I have to solve for a^3. The amounts given are below.

The equation is: (M1 + M2) P^2 = 4pi/G(a^3)
M1 = 3.7 Msun star
M2 = 0.8 Msun star
P² = 7.7841 days
4(π)= 12.56
G = 6.67408 × 10^-11 m^3 kg^-1 s^-2
a³ = ?

Answer:

36

please Mark as brainliest

Answer:

B) Probability must always be between 0 and 1 (0% and 100%), inclusive.

Step-by-step explanation:

Required

Select all true statement(s)

Represent the probability of an event with p.

In probability, the range of values of p is: [tex]0 \le p \le 1[/tex] or [tex]0\% \le p \le 100\%[/tex]

This implies that:

[tex]Minimum = 0\%[/tex] or 0

[tex]Maximum = 100\%[/tex] or 1

Base on the above information:

(a) False; because the maximum is 1

(b) True because of the above range; 0 to 1 or 0% to 100%

(c) False; because the minimum is 0

(d) False; because (b) is true

Answer:

Value of x = 11 ° , ∠B = 108° ,∠C = 36° ,∠D = 36°

Step-by-step explanation:

Given :

In ΔBCD , BC = BD And ∠B= (13x-35)° , ∠C= (5x-19)° ,∠D=(2x+14)°

To Find :

value of x and ∠D , ∠B and ∠C

Solution:

∵ BC=BD , So ∠C = ∠D

Therefore 5x-19 = 2x+14

3x = 33 , ∴ x=11°

So, ∠B = (13×11) - 35 = 108°

∠C = (5×11)-19 = 36°

∠D= (2×11) +14 =36°

Answer:

Less than because it would equal 16035.75

Step-by-step explanation:

Answer:

$26

Step-by-step explanation:

78 divided by 3

Step-by-step explanation:

first term

degree 1

coefficient 4

second term

degree. 2

coefficient 8

third term

degree 3

coefficient -5

fourth term

degree 4

coefficient -5

fifth term

degree 0

coefficient -5

Answer:

15

Step-by-step explanation:

10×10 =100

5×10= 50

100+50=150

Answer:

they played 48 games

Step-by-step explanation:

let 'g' = total # of games

5/6g = 40

g = 48

40 wins, 8 losses

Answer:

I do not understand properly.

5/6 is less than 2 1/2

5/6 < 15/6

0.833333333333 < 2.5

5/6 <  2 1/2  

I think i'm not to good at math

Answer:

3

Step-by-step explanation:

divide 2 1/2 by 5/6

5/2 ÷ 5/6 = 5/2 · 6/5 = 30/10 or 3

Answer:

Step-by-step explanation:

37.4 is the correct answer.

Hope it helped you.

Answer:

20.3 + 17.1 = 37.4

B=37.4

Answer:

4) [tex]\frac{x}{7\cdot x +x^{2}}[/tex] is equivalent to [tex]\frac{1}{7+x}[/tex] for all [tex]x \ne -7[/tex]. (Answer: A)

5) [tex]\frac{-14\cdot x^{3}}{x^{3}-5\cdot x^{4}}[/tex] is equivalent to [tex]-\frac{14}{1-5\cdot x}[/tex] for all [tex]x \ne \frac{1}{5}[/tex]. (Answer: B)

6) [tex]\frac{x+7}{x^{2}+4\cdot x - 21}[/tex] is equivalent to [tex]\frac{1}{x-3}[/tex] for all [tex]x \ne 3[/tex]. (Answer: None)

7) [tex]\frac{x^{2}+3\cdot x -4}{x+4}[/tex] is equivalent to [tex]x - 1[/tex]. (Answer: None)

8)  [tex]\frac{2}{3\cdot a}\cdot \frac{2}{a^{2}}[/tex] is equivalent to [tex]\frac{4}{3\cdot a^{3}}[/tex] for all [tex]a\ne 0[/tex]. (Answer: A)

Step-by-step explanation:

We proceed to simplify each expression below:

4) [tex]\frac{x}{7\cdot x +x^{2}}[/tex]

(i) [tex]\frac{x}{7\cdot x +x^{2}}[/tex] Given

(ii) [tex]\frac{x}{x\cdot (7+x)}[/tex] Distributive property

(iii) [tex]\frac{1}{7+x} \cdot \frac{x}{x}[/tex] Distributive property

(iv) [tex]\frac{1}{7+x}[/tex] Existence of multiplicative inverse/Modulative property/Result

Rational functions are undefined when denominator equals 0. That is:

[tex]7+x = 0[/tex]

[tex]x = -7[/tex]

Hence, we conclude that [tex]\frac{x}{7\cdot x +x^{2}}[/tex] is equivalent to [tex]\frac{1}{7+x}[/tex] for all [tex]x \ne -7[/tex]. (Answer: A)

5) [tex]\frac{-14\cdot x^{3}}{x^{3}-5\cdot x^{4}}[/tex]

(i) [tex]\frac{-14\cdot x^{3}}{x^{3}-5\cdot x^{4}}[/tex] Given

(ii) [tex]\frac{x^{3}\cdot (-14)}{x^{3}\cdot (1-5\cdot x)}[/tex] Distributive property

(iii) [tex]\frac{x^{3}}{x^{3}} \cdot \left(-\frac{14}{1-5\cdot x} \right)[/tex] Distributive property

(iv) [tex]-\frac{14}{1-5\cdot x}[/tex] Commutative property/Existence of multiplicative inverse/Modulative property/Result

Rational functions are undefined when denominator equals 0. That is:

[tex]1-5\cdot x = 0[/tex]

[tex]5\cdot x = 1[/tex]

[tex]x = \frac{1}{5}[/tex]

Hence, we conclude that [tex]\frac{-14\cdot x^{3}}{x^{3}-5\cdot x^{4}}[/tex] is equivalent to [tex]-\frac{14}{1-5\cdot x}[/tex] for all [tex]x \ne \frac{1}{5}[/tex]. (Answer: B)

6) [tex]\frac{x+7}{x^{2}+4\cdot x - 21}[/tex]

(i) [tex]\frac{x+7}{x^{2}+4\cdot x - 21}[/tex] Given

(ii) [tex]\frac{x+7}{(x+7)\cdot (x-3)}[/tex] [tex]x^{2} -(r_{1}+r_{2})\cdot x +r_{1}\cdot r_{2} = (x-r_{1})\cdot (x-r_{2})[/tex]

(iii) [tex]\frac{1}{x-3}\cdot \frac{x+7}{x+7}[/tex] Commutative and distributive properties.

(iv) [tex]\frac{1}{x-3}[/tex] Existence of multiplicative inverse/Modulative property/Result

Rational functions are undefined when denominator equals 0. That is:

[tex]x-3 = 0[/tex]

[tex]x = 3[/tex]

Hence, we conclude that [tex]\frac{x+7}{x^{2}+4\cdot x - 21}[/tex] is equivalent to [tex]\frac{1}{x-3}[/tex] for all [tex]x \ne 3[/tex]. (Answer: None)

7) [tex]\frac{x^{2}+3\cdot x -4}{x+4}[/tex]

(i) [tex]\frac{x^{2}+3\cdot x -4}{x+4}[/tex] Given

(ii) [tex]\frac{(x+4)\cdot (x-1)}{x+4}[/tex]  [tex]x^{2} -(r_{1}+r_{2})\cdot x +r_{1}\cdot r_{2} = (x-r_{1})\cdot (x-r_{2})[/tex]

(iii) [tex](x-1)\cdot \left(\frac{x+4}{x+4} \right)[/tex] Commutative and distributive properties.

(iv) [tex]x - 1[/tex] Existence of additive inverse/Modulative property/Result

Polynomic function are defined for all value of [tex]x[/tex].

[tex]\frac{x^{2}+3\cdot x -4}{x+4}[/tex] is equivalent to [tex]x - 1[/tex]. (Answer: None)

8) [tex]\frac{2}{3\cdot a}\cdot \frac{2}{a^{2}}[/tex]

(i) [tex]\frac{2}{3\cdot a}\cdot \frac{2}{a^{2}}[/tex]

(ii) [tex]\frac{4}{3\cdot a^{3}}[/tex] [tex]\frac{a}{b}\cdot \frac{c}{d} = \frac{a\cdot b}{c\cdot d}[/tex]/Result

Rational functions are undefined when denominator equals 0. That is:

[tex]3\cdot a^{3} = 0[/tex]

[tex]a = 0[/tex]

Hence, [tex]\frac{2}{3\cdot a}\cdot \frac{2}{a^{2}}[/tex] is equivalent to [tex]\frac{4}{3\cdot a^{3}}[/tex] for all [tex]a\ne 0[/tex]. (Answer: A)

Answer:

5-10g+20h

Step-by-step explanation:

Distribute the 5 to each number

Answer:

g = 118°, h = 62°, k = 140°, m = 40°

Step-by-step explanation:

g = 118°

h = 180 - 118 = 62°

k = 140°

m = 180 - 140 = 40°

Answer:

The average rate of change of the function from x=1 to x=2 will be: 10.5                

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=-\frac{14}{x^2}[/tex]

at x₁ = 1,

f(x₁) = f(1) =  -14/(1)² = -14/1 = -14

at x₂ = 2,

f(x₂) = f(2) = -14/(2)² = -14/(4) = -3.5

Using the formula to determine the average rate of change at which the total cost increases will be:

Average rate of change = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                                        = [-3.5 - (-14)] / [2 - 1]

                                        = [-3.5 + 14] / [1]

                                        = 10.5 / 1

                                        = 10.5

Therefore, the average rate of change of the function from x=1 to x=2 will be: 10.5                      

Answer: Only the second image

Step-by-step explanation:

Answer:

2nd and last

Step-by-step explanation:

the ones with 4 sides are quadrilaterals

Differentiate both sides of

xy ³ - 2x ²y ² = 0

with respect to x :

d(xy ³ - 2x ²y ²)/dx = d(0)/dx

d(xy ³)/dx - 2 d(x ²y ²)/dx = 0

By the product rule,

d(x)/dx y ³ + x d(y ³)/dx - 2 (d(x ²)/dx y ² + x ² d(y ²)/dx) = 0

By the chain rule,

y ³ + 3xy ² dy/dx - 2 (2xy ² + 2x ²y dy/dx) = 0

y ³ + 3xy ² dy/dx - 4xy ² - 4x ²y dy/dx = 0

y ³ - 4xy ² + (3xy ² - 4x ²y) dy/dx = 0

(3xy ² - 4x ²y) dy/dx = 4xy ² - y ³

dy/dx = (4xy ² - y ³) / (3xy ² - 4x ²y)

dy/dx = (4xy - y ²) / (3xy - 4x ²)

At the point (1, 2), the gradient is

dy/dx (1, 2) = (4×1×2 - 2²) / (3×1×2 - 4×1²) = 4/2 = 2

Answer:

63/50 meters^2 or in mixed number: 1 13/50 meters^2

Step-by-step explanation:

Area= length * width

length = 4 1/5= 21/5 . Multiply the whole number with the denominator. 4*5= 20 . Add 20 with the numerator. 20+1=22

width= 3/10

21/5* 3/10 ( Multiply the denominators together). ( Multiply the numerators together).

21*3 / 5*10

The solution is Option A.

The area of rectangular garden is A = 1 13/50 meters

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangular garden be A

Now , the equation will be

The length of the rectangle = 4 1/5 meters

The length of the rectangle = 21/5 meters

The width of the rectangle = 3/10 meters

So , Area of Rectangle = Length x Width

The area of the rectangular garden A = ( 21/5 ) x ( 3/10 )

On simplifying the equation , we get

The area of the rectangular garden A = 63/50

The area of the rectangular garden A = 1 13/50 meters

Hence , the area of the rectangular garden is 1 13/50 meters

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9514 1404 393

Answer:

  L = 882/121 feet

Step-by-step explanation:

Set the appropriate variables in the equation to the given values and solve for the unknown.

  [tex]T=2\pi\sqrt{\dfrac{L}{32}}\\\\3=2\left(\dfrac{22}{7}\right)\sqrt{\dfrac{L}{32}} \qquad\text{fill in given values}\\\\ \dfrac{3\cdot7}{44}=\sqrt{\dfrac{L}{32}} \qquad\text{multiply by $\dfrac{7}{44}$}\\\\ \left(\dfrac{21}{44}\right)^2=\dfrac{L}{32}\qquad\text{square both sides}\\\\ \dfrac{32\cdot441}{1936}=L \qquad\text{multiply by 32}\\\\ \boxed{L=\dfrac{882}{121}}\qquad\text{reduce the fraction}[/tex]

_____

Additional comment

That's about 7.3 feet. (You can compare this to what you know about the time it takes for a cycle when swinging on a swing set.)

Answer:

43.96

(i used 3.14 for pie)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

A=2πr(r+h)= surface area

so your equation would be 2π8(8+12)=  D.  1004.80

The surface area of the cylinder is 1004.80 square centimeters

The given parameters are:

Radius = 8 cm.; Height = 12 cm.

The surface area of a cylinder is:

[tex]S = 2\pi r(h + r)[/tex]

So, we have:

S = 2 * 3.14 * 8 * (12 + 8)

Evaluate

S = 1004.80

Hence, the surface area of the cylinder is 1004.80 square centimeters

Read more about surface area at:

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Answer:

[tex]2\sqrt{2}[/tex]

Step-by-step explanation:

1/2 power = square root so [tex]\sqrt{8} =[/tex] [tex]\sqrt{4}[/tex] × [tex]\sqrt{2}[/tex] = 2 × [tex]\sqrt{2}[/tex] = [tex]2\sqrt{2}[/tex]

Answer:

32n-16n

Step-by-step explanation:

Answer:

It's true...

Step-by-step explanation:

hope it helps...m

Answer:

A

Step-by-step explanation:

I hope this was helpful, if you want the work then let me know.

Answer:

11 remainder 2 sorry if it's wrong...

Step-by-step explanation:

60.00- 25.00= 35.00 35.00 ÷ 3 = 11 r2

Answer:

x= 4

y= 116°

Step-by-step explanation:

In a parallelogram, opposite sides are congruent

This means :

(y-60) ° = 56°

y= 56°+60°

y= 116°

And , parallel sides of a parallelogram are equal so;

16 = 3x + 4

16-4 = 3x

12 = 3x

12/3 = x

4 = x