What is the potential energy of a car with a mass of 120kg at the top of a 42
meter hill?

Answer: The answer is D. 17.9

Step-by-step explanation: Use the equation [tex]c = \sqrt{a^2 +b^2}[/tex] where c represents the triangles hypotenuse and a and b represent the legs of the triangle.

I hope this helps have a great day!

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

So first you should remember that....

[tex]a^{2} +b^{2} =c^{2}[/tex]

then you should plug in...

[tex]8^{2}+16^{2}[/tex]

that should equal...

[tex]c^{2}=320[/tex]

Then you should solve the equation now by doing the inverse of the square which is the square root of both sides...

[tex]\sqrt{c^{2} } =\sqrt{320}[/tex]

[tex]c=17.88854382...[/tex]

Then you have to round it to the nearest tenths, which'll give you...

[tex]17.9[/tex]

choice D

Answer:

[tex]y=2x-6[/tex]

Step-by-step explanation:

A locus can be defined as a curve or figure formed by all the points satisfying a particular equation of the relation between coordinates.

The condition stated in the question is such that a generic (x,y) point of the curve is equidistant from the points A(2,3) and B(6,1).

The distance d1 from (x,y) to (2,3) is:

[tex]d_1=\sqrt{(x-2)^2+(y-3)^2}[/tex]

The distance d2 from (x,y) to (6,1) is:

[tex]d_2=\sqrt{(x-6)^2+(y-1)^2}[/tex]

Since d1=d2:

[tex]\sqrt{(x-2)^2+(y-3)^2}=\sqrt{(x-6)^2+(y-1)^2}[/tex]

Squaring both sides:

[tex](x-2)^2+(y-3)^2=(x-6)^2+(y-1)^2[/tex]

Operating:

[tex]x^2-4x+4+y^2-6y+9=x^2-12x+36+y^2-2y+1[/tex]

Simplifying all the squares:

[tex]-4x+4x+4-6y+9=-12x+36-2y+1[/tex]

Moving the variables to the left side and the numbers to the right side:

[tex]-4x+12x-6y+2y=36+1-4-9[/tex]

Simplifying:

[tex]8x-4y=24[/tex]

Dividing by 4:

[tex]2x-y=6[/tex]

Or, equivalently:

[tex]\boxed{y=2x-6}[/tex]

Answer:

9

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Answer:

A. 10,000 combinations

B. 5,040 combinations

Step-by-step explanation:

A. four-digit code from 0-9 without restriction

1st digit - 10 options

2nd digit - 10 options

3rd digit - 10 options

4th digit - 10 options

Number of possible options = 10 * 10 * 10 * 10 = 10^4 = 10,000 combinations

b. No repetition of digits

1st digit = 10 options

2nd digit = 9 options

3rd digit = 8 options

4th digit = 7 options

Number of possible choices = 10 * 9 * 8 * 7 = 5,040 combinations

Answer:

x = 1

Step-by-step explanation:

2x + 2 = 4

2x = 2

x = 1

Answer:

1,2,3,5,8,13,.......

Step-by-step explanation:

We can have a sequence that adds the previous two terms to get the next term

1,2,3,5,8,13,.......

This is neither geometric nor arithmetic

Answer:

The 1st Graph: -4/1

2nd Graph 1/3

Step-by-step explanation:

Answer:

The deepest point in the Baltic Sea relative to the surface is 459 meters.

Step-by-step explanation:

The average depth of the Baltic Sea is:

[tex] d_{1} = 52 m [/tex]

The deepest point in the Baltic Sea is (lower than this):

[tex] d_{2} = 407 m [/tex]

Hence, the deepest point in the Baltic Sea relative to the surface is given by:

[tex] d_{T} = d_{1} + d_{2} = 52 m + 407 m = 459 m [/tex]

Therefore, the deepest point in the Baltic Sea relative to the surface is 459 meters.

I hope it helps you!          

It is correct

Answer:

It’s either A or C. However I’m mostly going with C. For C tells us 2 hours and 23 minutes have passed. I hope this helps.

Step-by-step explanation:

Please correct me if I am wrong.

Answer:

Step-by-step explanation:

[tex]a_1=157\\a_2=150\\\\d=150-157=-7\\\\a_n=a_1+d(n-1)\\\\a_{87}=157+(-7)(87-1)=157-7\cdot86=-445[/tex]

Answer:

x=3

Step-by-step explanation:

If y is 15 when x is 5, and y =f(x), then the equation is y=3x. Substitute in 9 for y, and do the algebra, and you will get 3. Hope this helped :D

The value of x is 3 when y = 9.

When two quantities are proportional, it means that they can be expressed as a ratio or a fraction, and this ratio remains constant as the values of the quantities change.

If y varies directly as x, it means that the ratio of y to x remains constant.

We can express this relationship as y = kx, where k is the constant of variation.

To find the value of k, we can use the given information that y = 15 when x = 5:

15 = k . 5

Dividing both sides of the equation by 5, we get:

k = 15/5

k = 3

Now that we have the value of k, we can substitute it into the equation

y = kx to find x when y = 9:

9 = 3x

Dividing both sides of the equation by 3, we get:

x = 9/3

x = 3

Therefore, when y = 9, x = 3.

Learn more about Proportionality here:

https://brainly.com/question/8598338

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Answer:

x=-3.75

Step-by-step explanation:

17 = -13-8x

30=-8x

x=-3.75

Answer:

Step-by-step explanation:

17=-13-8x

Step 1: add 13 to both sides

30=-8x

Step 2: divide by -8

-3.75=x

Answer:

y=mx+b

Step-by-step explanation:

Answer:4.34

Step-by-step explanation:

Answer:

all numbers

Step-by-step explanation:

|5x|>-4

Absolute values are greater than or equal to zero

This says that our absolute value is greater than a negative number

This is always true so x can be any number, so it has infinite solutions

x is all real numbers

Answer:

The volume will be four times the original volume.

Step-by-step explanation:

V = (pi)r2h is the formula for the volume of a cylinder. The formula becomes V = (pi)(2r)2h if the radius is doubled and the height remains the same. V = 4(pi)r2h after simplifying. ... Therefore the new volume would be 4 times the original volume.

Answer:

c

Step-by-step explanation:

your welcome

Answer:

2

Step-by-step explanation:

(-2/3 x 3/5) + 5/2 - (3/5 x 1/6)

-2/3 x 3/5 = -6/15 = -2/5 (simplified)

3/5 x 1/6 = 3/30 = 1/10 (simplified)

Changed equation: -2/5 + 5/2 - 1/10

-2/5 x 2 = -4/10

5/2 x 5 = 25/10

Changed equation: -4/10 + 25/10 - 1/10

Answer: 20/10 = 2 (simplified answer)

Answer:

[tex]y=-3x-8[/tex]

Step-by-step explanation:

Answer:

did you attach an image?

Step-by-step explanation:

We have a figure given in question.

We have to find a point non-coplanar to plane K.

Two or more points are coplanar if they lie on the same plane in the three dimensional coordinate system. If they don't lie on the same plane, then they are called non - coplanar.

According to the question, we have to find a point non-coplanar to

plane K.

All the points except points W and Y lie on plane K. Hence, W and Y are the two points that do not lie on the K - plane.

To solve more questions on Coplanarity, visit the link below-

https://brainly.com/question/10623225

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Answer: 5.9

9.94 rounded to the nearest tenth is 5.9

Plz mark brainliest:)