Free fall on a small airless planet. A rock released from rest to fall on a small airless planet falls y = gt^2 m in t sec, g a constant. Suppose that the rock falls to the bottom of a crevasse 20m below and reaches the bottom in 4 sec. A) Find the value of g. B) Find the average velocity for the fall. C) With what velocity did the rock hit bottom?

Answer:

12 miles in a day.

Step-by-step explanation:

Variable x = number of miles

Company A: 120 + 0.20x

Company B: 60 + 0.40x

Set up an equation:

120 + 0.20x = 60 + 0.40x

60 + 0.20x = 0.40x

60 = 0.20x

12 = x

Answer:

1.

[tex] \frac{2}{5} = \frac{x}{15} \\ \\ 5x = 2 \times 15 \\ 5x =30 \\ x = \frac{30}{5} \\ x = 6[/tex]

2.

[tex] \frac{4}{3} = \frac{x}{7} \\ 3x = 4 \times 7 \\ 3x = 28 \\ x = \frac{28}{3} \\ x = 9.33 [/tex]

3.

[tex] \frac{7}{5} = \frac{28}{x} \\ 7x = 5 \times 28 \\ 7x = 140 \\ x = \frac{140}{7} \\ x = 20[/tex]

4.

[tex] \frac{11}{4} = \frac{5}{x} \\ 11x = 5 \times 4 \\ 11x = 20 \\ x = \frac{20}{11} \\ x = 1.8[/tex]

I hope I helped you^_^

Answer:

1/10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

x is the favorite number

x÷[tex]\frac{1}{x}[/tex] = 10x (flip the fraction and multiply)

[tex]x^{2}[/tex]=10x (divide both sides by x)

x=10

Answer:

the value of X is 3 and y is 6 .

Answer:

hi,

Step-by-step explanation:

Let say P=(x,y) a point of the locus

[tex]Distance\ from\ P\ to\ (2,1)= \sqrt{(x-2)^2+(y-1)^2} \\Distance\ from\ P\ to\ (1,2)= \sqrt{(x-1)^2+(y-2)^2} \\\\\sqrt{(x-2)^2+(y-1)^2} =2*\sqrt{(x-1)^2+(y-2)^2} \\\\(x-2)^2+(y-1)^2=4*((x-1)^2+(y-2)^2)\\\\3x^2-4x+3y^2-14y+15=0\\\\[/tex]

[tex]3x^2-4x+3y^2-14y+15=0\\3(x^2-2*\dfrac{2}{3} x)+3(y^2-2*\dfrac{7}{3}*y) +15=0\\3(x^2-2*\dfrac{2}{3}*x+\dfrac{4}{9})+3(y^2-2*\dfrac{7}{3}*y+\dfrac{49}{9} ) +15-\dfrac{4}{3}-\dfrac{49}{3}=0\\\\3(x-\dfrac{2}{3})^2+3(y-\dfrac{7}{3})^2-\dfrac{8}{3}=0\\\\\\\boxed{(x-\dfrac{2}{3})^2+(y-\dfrac{7}{3})^2=\dfrac{8}{9}}\\\\[/tex]

Locus is the circle of center (2/3,7/3) and radius =2√2  /3.

Answer:

22 divided 5 I would think

Step-by-step explanation:

Answer:

Let’s just hail a taxi.

Step-by-step explanation:

Answer:

10in

Step-by-step explanation:

8-3=5

5+5=10

Answer:

10 inches.

Step-by-step explanation:

Assuming that before Monday, there was no snow.

On Monday, it snowed 8 inches, which is a net positive of 8:

0 + 8 = 8in total.

On Tuesday, it melted 3 inches, which is a net negative of 3:

8 - 3 = 5in total.

On Wednsday, it snowed another 5 inches, which is a net positive of 5:

5 + 5 = 10in total.

10 inches total of snow was on the ground on Wednesday.

~

Answer:

f(1)=1+2=3, as 1 is odd

f(2)=2*2=4

f(3)=3+2=5

f(4)=2*4=8

f(11)=11+2=13

Answer:

-340

Step-by-step explanation:

2^2 is 4, + 3^4( is 81) = 85.

85 x -2^2= -340

Answer: 340

Step-by-step explanation:

Given wording expression

(2 squared + 3 to the fourth power) times squared -2

Convert to numerical expression

(2² + 3⁴) × (-2)²

Simplify exponents

=(2 × 2 + 3 × 3 × 3 × 3) × (-2) × (-2)

=(4 + 81) × (4)

Simplify value in the parentheses

=(85) × 4

Simplify by multiplication

=[tex]\boxed{340}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

-4/17

Step-by-step explanation:

-1/2×3/5÷-51/40

= -1/2×3/5×40/51

=-4/17

Answer:

C > 17

Step-by-step explanation:

23 - C < 6  

-23        -23

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

-C < -17

multiply both sides by -1

(-c) (-1) > (-17) (-1)

C > 17

Answer:

The choose B.

[tex] \frac{2^{15} }{ {4}^{10} } [/tex]

I hope I helped you^_^

Unit conversion involves the conversion of a metric unit to another unit of the same quantity.

[tex]19.3 pm/ks^2[/tex] to megameter per squared nanoseconds is [tex]19.3 \times 10^{-41} Mn/ns^2[/tex]

Let:

[tex]x = 19.3 pm/ks^2[/tex]

Multiply by [tex]10^{-17[/tex] to convert megameter per squared kiloseconds

[tex]x = 19.3 \times 10^{-17} Mn/ks^2[/tex]

Divide by [tex]10^{24[/tex] to convert to megameter per squared nanoseconds

[tex]x = \frac{19.3 \times 10^{-17}}{10^{24}} Mn/ns^2[/tex]

Apply law of indices:

[tex]x = 19.3 \times 10^{-17-24} Mn/ns^2[/tex]

[tex]x = 19.3 \times 10^{-41} Mn/ns^2[/tex]

Hence:

[tex]19.3 pm/ks^2[/tex] to megameter per squared nanoseconds is [tex]19.3 \times 10^{-41} Mn/ns^2[/tex]

Read more about unit conversions at:

https://brainly.com/question/19420601

Answer:

A. All real numbers.

Step-by-step explanation:

[tex]x + 4 = \frac{2x + 8}{2} \: \: multipling \: both \: sides \: by \: 2 \\ 2(x + 4) = 2x + 8 \\ 2x + 8 = 2x + 8[/tex]

When you end up with a true statement like this, it means that the solution to the equation is “all real numbers”. Any value for x that you can think of will make this equation true.

Answer:

I think (x+4) (x+4) is right answer.

Step-by-step explanation:

here,

x2+8x+16

=x2+(4+4)x+ 16

=x2+4x+4x+16

=x(x+4)+4(x+4)

=(x+4)(x+4) Ans

Answer:

Length = 28

Width = 14

Step-by-step explanation:

14 + 28 = 42

42 x 2 = 84

28 / 14 = 2

Answer:

y = 1/2x + 6

Step-by-step explanation:

y = 1/2x + b

2 = 1/2(-8) + b

2 = -4 + b

6 = b

Answer:

[tex]a=\frac{-5}{2}[/tex]

Step-by-step explanation:

[tex]2a+9=4[/tex]

[tex]2a=4-9[/tex]

[tex]2a=-5[/tex]

[tex]a=\frac{-5}{2}[/tex]

Answer:

3q

Step-by-step explanation:

i think

Answer:

6< 3x

[where 3x = a number tripled]

Answer:

1440

Step-by-step explanation:

Let's say x = number of hours worked per week for 12 people. Now one worker works 30 hours a week so if you multiply 12 workers by 30 you will get how many hours 12 workers worked. so x = 12 • 30. 12 • 30 is 360. so x = 360 or for 1 week 12 workers worked 360 hours. now we need to find the amount of hours for 4 weeks. so we can do 4x or 4 times the amount of hours per one week. since x = 360. 4 • 360 = 1440.

Answer:

Step-by-step explanation:

Those two angles are equal. They are corresponding angles.  In two parallel lines crossed by a transversal. 8 angles are produced. 4 have one value and the other 4 are supplementary to the first four.

These 2 are part of the first group of 4.

So 12x -  8 = 104

12x - 8 + 8 = 104 + 8

12x = 112

x = 9 1/3

Step-by-step explanation:

x³-x

by taking out common term, we get

x(x²-1)

Now, by using the formula of a²-b², we get

x(x²-1²)

x(x+1)(x-1)

I hope it helped U

stay safe stay happy

Answer:

[tex] {x}^{3} - x = x(x + 1)(x - 1)[/tex]

I hope I helped you^_^

Answer:

2x + 12

Step-by-step explanation:

6x + 36 / 3 =

(6x)/3 + (36)/3 = 2x + 12

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

[tex]6x + 4 = 5 - (x + 1)[/tex]

open the bracket, [ distribution property ]

[tex]6x + 4 = 5 - x - 1 \\ 6x + 4 = 4 - x[/tex]

collect like terms:

[tex]6x + x = 4 - 4 \\ 7x = 0 \\{ \boxed{ \boxed{ x = 0}}}[/tex]

Answer:

4

Step-by-step explanation:

k=4÷12=1÷3

t=12×1÷3=4