PLEASE ANSWER FAST 33 POINTS

The height above Earth's surface that the boulder rests is 3.16m.

Gravitational acceleration can be defined as the acceleration of any object when the object is in free fall. or we can say that the gravitational acceleration is the quantity which describes the acceleration of free falling object within vacuum. It is denoted by g .

Potential energy is the stored energy of the object which is generally based on the relative position of the various parts of the object. It is also known as gravitational energy.

Formula of potential energy :

PE = mgh

where, PE = gravitational energy / potential energy

           m = mass of object

           g = gravitational acceleration

           h = vertical height  of object

According to question given:

PE = 15500J

m = 500kg

g = 9.8

As PE = mgh

therefore, h = PE / mg

i.e. h = 15500 / (500)(9.8)

     h = 3.16m

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The expression which is equivalent to -9x^8 / y^10 is "negative quantity 9 times x raised to the eighth power end quantity over y raised to the tenth power". option B

-9x^8 / y^10

Check all that applies:

x^8 / (9×y)^10

= x^8 / 9y^10

No

-(9×x)^8/y^10

= -9x^8 / y^10

Yes

1/(9×x)^8 × y^10

= 1 / (9x^8) × (y^10)

No

Therefore, the expression which is equivalent to -9x^8 / y^10 is "negative quantity 9 times x raised to the eighth power end quantity over y raised to the tenth power".

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Answer:

Description

Step-by-step explanation:

.20(8)+4=5.6

on the graph the point is (8,6)

.25(8)+4=6

Answer:

118

Step-by-step explanation:

(100 + 400 + 20 + 40 + 30)/5

= 590/5

= 118

Answer:

118

Step-by-step explanation:

100+400+20+40+30= 590

then 590/5= 118

Answer:

Slope is -7/4

Answer:

The equation [tex]x^2 + 6x -5 = 4x^2[/tex] have 2 non-real solution, 2 imaginary solutions.

Step-by-step explanation:

Using the Discriminant to find the number and type of solutions to [tex]x^2 + 6x -5 = 4x^2\\x^2-4x^2+6x-5=0\\-3x^2+6x-5=0[/tex]

The discriminant is: [tex]b^2-4ac[/tex]

We have a = -3, b=6 and c=-5

Putting values and finding discriminant

[tex]b^2-4ac\\=(6)^2-4(-3)(-5)\\=36-60\\=-24\\[/tex]

So, we get discriminant = -24

if discriminant  < 0 the solution will have two non-real imaginary solutions.

In our case discriminant  < 0 i,e discriminant  = -24

So, The equation [tex]x^2 + 6x -5 = 4x^2[/tex] have 2 non-real solution, 2 imaginary solutions.

Answer:

$3.616

Step-by-step explanation:

Answer: the first option

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

-20-------------------------------------0-------------------------------------20

moving right on ANY number line increases the number value. My example above also shows you that if you move left your number value will DECREASE.

HOPE THIS HELPS <3333

-Silver

Answer:

1) -2

2) 7

3) 1

4) 6

5) 4

Answer:

product

Step-by-step explanation:

hope it helps

Answer:

yesn't

Step-by-step explanation:

9514 1404 393

Answer:

  A.  0.8340

Step-by-step explanation:

The mean difference between walking time and bus time is the difference of their means: 16 -12 = 4 minutes.

The variance of the difference between walking time and bus time is the sum of the variances of the two distributions:

  (4 min)² +(1 min)² = 17 min²

Then the probability that walking will be slower is the probability that the difference is greater than 0.

  P(dif > 0) = P(Z > (0 -4)/√17) = P(Z > -0.970143)

  P(dif > 0) ≈ 0.8340

The probability the bus will be faster is about 0.8340.

Answer:

CORRECT!!!!!!!!!

Step-by-step explanation:

Answer:

Your right!

(づ￣ 3￣)づ

I hope this helps! (❤´艸｀❤)

Answer:

We can use the Pythagorean theorem to solve this:

The Pythagorean theorem states that the hypotenuse of a triangle (the longest side), squared is equal to the sum of the other 2 sides of the triangle, squared. It can be expressed as so:

c^2=a^2+b^2 where c represents the hypotenuse; a and b represent the other 2 sides.

Now that we have an equation we can solve:

c^2=8^2+8^2

c^2=64+64

c^2=128

Since there is no perfect square for 128 we need to put in in simplest radical form

c=√128

Find a number that has a perfect square and multiplies by another number to equal 128

c=√64 x 2

This can be rewritten as so:

c=√64√2

Now for the last step find another perfect square for 64 and have it outside the square like so:

c=8√2

There is no perfect square for 8 so this is in simplest radical form

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer:

Approximately what will be saved will be 8.00

Step-by-step explanation:

Here, we want to know the amount that the customer will save

Firstly, we need to know the amount that all will cost

Mathematically, that will be;

24 + 16.12 + 10.5 = 50.62

The amount to be discounted is 15% of this

That will be 15% of 50.62

= 15/100 * 50.62

= 7.593

The liters of milk  litres you can buy with $20 is mathematically given as

v=22.8571L

Question Parameter(s):

Suppose milk is selling for 87.5¢ per litre

Generally, the equation for the Volume of milk  is mathematically given as

1=87.5c

v=20,00c

Therefore

v=2,000/87.5

v=22.8571

In conclusion, volume of milk

v=22.8571L

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Answer:

y = 2x², 0, 2, 8

y = 2^x, 1, 2, 4

Step-by-step explanation:

For the first equation, multiply the input by itself and then multiply by two

y = 2x²

y = 2(2)²

y = 2(2*2) = 8

For the second equation, multiply 2 by itself depending on the value of the input

y = 2^x

y = 2²

y = 2 * 2 = 4

Answer:

[tex]2\times 15-6 = 24\ below\ sea\ level[/tex]

Step-by-step explanation:

Given that:

Distance traveled by seal to catch the fish = 15 below sea level

Sea lion wanted to catch a larger fish so sea lion dove 6 feet lesser than two time the distance that the seal traveled.

To find:

The expression to represent the position of the sea lion in the sea.

Solution:

If the distance traveled by seal is represented by [tex]D[/tex] then as per the question statement:

Twice of [tex]D[/tex] = [tex]2\times D[/tex]

6 lesser than twice of [tex]D[/tex] = [tex]2\times D[/tex] - 6

Now, putting the value of [tex]D[/tex] = 15

Therefore, the expression to represent the sea lion's position w.r.to sea level.

[tex]2\times 15-6\\ = 24\ below\ sea\ level[/tex]

Answer:

88 questions

Step-by-step explanation:

86/0.98 = 87.755

pls mark brainliest :D

Answer:

28 books

Step-by-step explanation:

Let x represent the number of books .William owned before anything happens

x/2 + 10 = 24

2(x/2 + 10) = 2(24)

x + 20 = 48

x = 48 - 20

x = 28

Answer:

28

Step-by-step explanation

subtract 10 by 24.multiply 14 by 2 and there's your answer hope this helps

Answer:

360g plain flour

3 eggs

900ml milk

Step-by-step explanation:

To make 4 pancakes you would do 240g÷2=120g

2 eggs÷2=1

600ml÷2=300ml

all this makes a total of 4 pancakes.

to make 12 pancakes you do 4×3 soo..

120g×3=360g

1×3=3

300ml×3=900ml

Answer:

number

2.A

3.1/1

4.A

5.up right side ididnt see

6.5 right

7.place the positive for and walk in to the left side and count eleven start to 4

Answer:

it's A

Step-by-step explanation:

jsushskzhsonssjksjzisnsnsjs

Answer:

A: (3/5, 0)

Step-by-step explanation:

y = 3 - 5x

-5x = y - 3

x = -y/5 + 3/5

{(-4,-2),(-1,-1),(3,2),(3,5),(7,10)} is not the function .

• In mathematics, ordered pair is a pair of numbers which are written in a specific order. They are generally written in (x,y) form. For example (3,5) is a ordered pair.

• Function can also be represented by a set of ordered pairs. A function Is a set of ordered pairs in which no two different ordered pairs have same value of x coordinate.

Case 1 : {(5,2),(4,2),(3,2),(2,2),(1,2)}

No two ordered pair have the same value of x coordinate. So it is a function.

Case 2 : {(-4,-2),(-1,-1),(3,2),(3,5),(7,10)}

Two ordered pair have the same value of x coordinate (3,2) and (3,5). So, it can not be considered as a function.

Case 3 : {(-8,-3),(-6,-5),(-4,-2),(-2,-7),(-1,-4)}

No two ordered pair have the same value of x coordinate. So it is a function.

Case 4 : {(-6,4),(-3,-1),(0,5),(1,-1),(2,3)}

No two ordered pair have the same value of x coordinate. So it is a function.

Therefore, {(-4,-2),(-1,-1),(3,2),(3,5),(7,10)} is not the function.

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The limit of the function as the variable n tends to minus infinity is -1. Option C is correct

Given the limit of a function expressed according to the equation;

a(n) = 6n²-n-3n³/3n³+n-1

The value of the function if n tends to minus infinity is expressed as show:

a(n) = 6n²-n-3n³/3n³+n-1

Divide both all the terms by n³

a(n) = 6n²/n³-n/n³-3n³/n³/3n³/n³+n/n³-1/n³

a(n) = 6/n-1/n²-3/(3+1/n²-1/n³)

a(n) = 6/-∞ - 1/(-∞)²-3/(3+1/(-∞)²-1/(-∞)³)

a(n) = -3/3

a(n) = -1

Hence the limit of the function as the variable n tends to minus infinity is -1

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Answer:

0.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define Expression

[20 + (2.5 × 3)] - 27

Step 2: Evaluate

The graph based on table is drawn in picture.

A grid is basically a structure which is made up of several straight lines which intersect each other and form number of squares or boxes.

A grid graph is the 2-dimentional graph with x and y axis which is embedded in Euclidean space .In the graph theory, The grid graph is also known as the 2-dimentional lattice graph (2D lattice) , mesh graph and rectangular grid graph. Sometimes, the graphs having the grid structure are also called as cartesian graphs because they have build on the cartesian coordinates system having x and y axis.

In the question given,

scale on x-axis is 0 to 10 with the interval of 1

thus, points on x axis are 0,1, 2, 3, ----,10

scale on y-axis is 0 to 5000 with the interval of 500

thus, points on y axis are 0, 500, 1000, 1500, ----- , 5000

The grid graph is shown in picture .

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Answer:

17.23

Step-by-step explanation:

Answer:

width = 15 inches

length = 30 inches

Step-by-step explanation:

[tex]\sf \boxed{\text{\bf Perimeter of rectangle =2*length + 2*width}}[/tex]

  Let width = x inches

     Length =  2*x = 2x inches

                 Perimeter = 90 inches

2 *length  + 2* width = 90

            2*2x  + 2*x     = 90

                   4x + 2x    = 90

Combine like terms,

                             6x = 90

Divide both sides by 6,

                                x = 90/6

                                x = 15

Dimensions:

Width = 15 inches

Length = 2*15 = 30 inches.