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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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How do I solve -15= -3n/5
xenn [34]

Answer:

<h2>n = 25</h2>

Step-by-step explanation:

-\dfrac{3n}{5}=-15\qquad\text{multiply both sides by (-5)}\\\\(-5\!\!\!\!\diagup^1)\left(-\dfrac{3n}{5\!\!\!\!\diagup_1}\right)=(-5)(-15)\\\\3n=75\qquad\text{divide both sides by 3}\\\\n=25

5 0
3 years ago
ich expressions are equivalent? Select Equivalent or Not equivalent for each pair of expressions. Equivalent Not equivalent 3(a+
kodGreya [7K]

3(a + b) and 3a + b - NOT EQUIVALENT because

3(a + b) = 3a + 3b

<em>used distributive property a(b + c) = ab + ac</em>

4(x + 2y) and 8y + 4x - EQUIVALENT because

4(x + 2y) = (4)(x) + (4)(2y) = 4x + 8y = 8y + 4x

<em>used distributive property a(b + c) = ab + ac</em>

<em>and commutative property a + b = b + a</em>

8 0
3 years ago
Read 2 more answers
Hanna shops for socks that cost $2.99 for each pair and blouses that cost $12.99 each. Let x represent the number
BigorU [14]

Answer:

2.99x + 12.99y = 43.92

Step-by-step explanation:

socks cost 2.99 and she bought x

2.99x

blouses cost 12.99 and she bought y

12.99y

The total is

2.99x + 12.99y

The total cost was 43.92

2.99x + 12.99y = 43.92

3 0
3 years ago
Read 2 more answers
Whether a zero must be written in the dividend to find quotient 1.4/0.05
Elena L [17]
The answer is 28 !!!!!!!!!!!!!!!!!
4 0
3 years ago
Given f(x)=2x^2+3x-5 for what values of x is f(x) positive
kow [346]

Answer:

The function f(x) is positive in the interval (-≠,-2.5) ∪ (1,∞)

Step-by-step explanation:

we have

f(x)=2x^{2}+3x-5

This is a vertical parabola open upward (the leading coefficient is positive)

The vertex is a minimum

The coordinates of the vertex is the point (h,k)

step 1

Find the vertex of the quadratic function

Factor the leading coefficient 2

f(x)=2(x^{2}+\frac{3}{2}x)-5

Complete the square

f(x)=2(x^{2}+\frac{3}{2}x+\frac{9}{16})-5-\frac{9}{8}

f(x)=2(x^{2}+\frac{3}{2}x+\frac{9}{16})-\frac{49}{8}

Rewrite as perfect squares

f(x)=2(x+\frac{3}{4})^{2}-\frac{49}{8}

The vertex is the point (-\frac{3}{4},-\frac{49}{8})

step 2

Find the x-intercepts (values of x when the value of f(x) is equal to zero)

For f(x)=0

2(x+\frac{3}{4})^{2}-\frac{49}{8}=0

2(x+\frac{3}{4})^{2}=\frac{49}{8}

(x+\frac{3}{4})^{2}=\frac{49}{16}

take the square root both sides

x+\frac{3}{4}=\pm\frac{7}{4}

x=-\frac{3}{4}\pm\frac{7}{4}

x_1=-\frac{3}{4}+\frac{7}{4}=1

x_2=-\frac{3}{4}-\frac{7}{4}=-2.5

therefore

The function f(x) is negative in the interval (-2.5,1)

The function f(x) is positive in the interval (-≠,-2.5) ∪ (1,∞)

see the attached figure to better understand the problem

6 0
4 years ago
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