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UNO [17]
3 years ago
15

Question:How many joules of gravitational potential energy are stored in an object that has a mass of 8.5 kilograms and is held

2 meters above the surface of earth?
Mathematics
1 answer:
Ivenika [448]3 years ago
8 0

Answer:

166.6 joules

Step-by-step explanation:

The formular for potential energy is Mgh

Mass is 8.5 kg

g = acceleration due to gravity (9.8)

height is 2 meters

= 8.5 × 9.8 × 2

= 166.6 joules

Hence the potential energy is 166.6 joules

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2. Graph each equation using a table of values.<br> (a)) y = 3x - 1
kiruha [24]

Make an x and y table, and pick any values to plug in for x in the equation.

I will use the numbers from -2 to 2

Now plug in the values you picked for x into the equation to find its y-value

x = -2

y = 3x - 1   Plug in -2 for x

y = 3(-2) - 1

y = -6 - 1

y = -7

x = -1

y = 3x - 1

y = 3(-1) - 1

y = -3 - 1

y = -4                

Do the same for the rest of the numbers, and graph each point and draw a line connecting them.

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3 years ago
The rule for a pattern is add 6. The first term is 5. Write the first five terms in the pattern.
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The answer is: 5 11 17 23 29 
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On a Sunday night, there are four people on a bus. The bus has five stops left before it end sits route. Suppose each person wil
allochka39001 [22]

There are two possible outcomes of this experiment either success p or failure q. It has a given number of trials and all trials are independent therefore it is<u><em> binomial probability distribution.</em></u>

1-  5 ways

2- 5/16

3- 1/16

4- 1/16

In the question given above n= 5 p =1/2 q= 1/2  r is the given point.

  1. <u>Part 1:</u>

The number of ways in which different people get off the bus can be calculated using combinations since the order is not essential. Therefore

nCr= 5C4= 5 ways

<u>2. Part 2:</u>

The probability that all four people get off the bus on the first stop is given by :

P (x= 1)= 5C1 (1/2)^0(1/2)^4= 5(1/2)^4= 5/16

<u>3. Part 3:-</u> The probability that all four people get off the bus on the same stop.

P (x= x)= 5C5 (1/2)^0(1/2)^4= 1(1/2)^4= 1/16

<u>4. Part 4-</u> The probability that <u><em>exactly three of the four</em></u> people get off the bus on the same stop.

P (x= x)= 5C5 (1/2)^3(1/2)^1= 1(1/2)^4= 1/16

For binomial distribution click

brainly.com/question/15246027

brainly.com/question/13542338

3 0
2 years ago
I NEED URGENT ASSISTANCE
Nata [24]

Answer:

<em>8 C sometimes</em>

<em>9 64x^8 y^11</em>

<em>10 c 1.28r^2/ t^9</em>

Step-by-step explanation:

<u>Algebraic Operations </u>

Some basic rules must be fresh in our minds when trying to simplify complex algebraic expressions. For example, the power rule respect to the product or quotient:

\displaystyle \left(\frac{x^n.y^m}{z^p}\right)^q= \frac{x^{qn}.y^{qm}}{z^{qp}}

\displaystyle \frac{x^n.x^q}{x^p}= x^{n+q-p}

\displaystyle x^{-n}=\frac{1}{x^n}

Let's face the questions at hand

8. A number is raised to a negative exponent is negative?

Following the expressions recalled above, let's pick the expression

\displaystyle 3^{-2}=\frac{1}{3^2}=\frac{1}{9}

This is a negative power resulting in a positive number

Now we pick

\displaystyle (-2)^{-3}=\frac{1}{(-2)^3}=-\frac{1}{8}

This time, the negative power leads to a negative result, so it doesn't matter the sign of exponent to determine the sign of the result

<em>Answer: C sometimes </em>

9 simplify(4xy^2)^3(xy)^5

(4xy^2)^3(xy)^5=4^3x^3(y^2)^3x^5y^5

=64x^3y^6x^5y^5

=64x^8y^{11}

10 simplify(2t^-3)^3(0.4r)^2

(2t^{-3})^3(0.4r)^2=2^3(t^{-3})^30.4^2r^2

=8t^{-9} 0.16 r^2

=1.28t^{-9} r^2

\displaystyle \frac{1.28 r^2}{t^9}

7 0
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