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2 years ago

What is -1/3, -4/5, 1/7 in order from least to greatest

Mathematics

1 answer:

makkiz [27]2 years ago

8 0

Answer:

1/7<1/3<4/5

Step-by-step explanation:

Divide the numerator by the denominator To see which is greater than double the numerator and see if the results is greater than the denominator

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Question

Jobisdone [24]

Answer:

The light bulb will reach the ground 1.25 seconds after it is dropped.

Step-by-step explanation:

We know that for an object that is in the air, the only force acting on it will be the gravitational force (where we are ignoring the air resistance)

Then the acceleration of the object is the gravitational acceleration, 32.17 ft/s^2

Then the acceleration of the light bulb is:

A(t) = (-32.17 ft/s^2)

Where the negative sign is because the acceleration is downwards.

Now, to get the velocity equation, we need to integrate the acceleration over time, we will get:

V(t) = (-32.17 ft/s^2)*t + V0

Where V0 is the initial velocity of the light bulb. Because it is dropped, the initial velocity will be zero, then V0 = 0m/s, then the velocity equation is:

V(t) = (-32.17 ft/s^2)*t

Finally, to get the position equation we need to integrate again, we will get:

P(t) = (1/2)*(-32.17 ft/s^2)*t^2 + P0

Where P0 is the initial height of the object, and in this case, we know that it is equal to 25 ft.

Then the position equation is:

P(t) = (1/2)*(-32.17 ft/s^2)*t^2 + 25ft

The object will hit the ground when P(t) = 0 ft, then we need to solve that equation for t:

P(t) = (1/2)*(-32.17 ft/s^2)*t^2 + 25ft = 0 ft

25 ft = (1/2)*(32.17 ft/s^2)*t^2

2*25ft = (32.17 ft/s^2)*t^2

50ft = (32.17 ft/s^2)*t^2

√( 50ft/(32.17 ft/s^2)) = t = 1.25 s

The light bulb will reach the ground 1.25 seconds after it is dropped.

8 0

3 years ago

A proportion is an equation showing the equivalence of two ratios or rates true or false

Lynna [10]

The answer is true- A proportion is an equation showing equivalent of two ratios or rates

3 0

2 years ago

the larger room is twice as long as the smaller room. how long is the larger room. small room is 20 4/5 feet

masya89 [10]

Answer:

41 3/5 is the answer

8 0

2 years ago

A conical paper cup has dimensions as shown in the diagram. How much water can the cup hold when full?

dusya [7]

By definition, the volume of a cone is given by:
 $V = (1/3)*( \pi)*(r^2)*(h)
$
 Where,
r: radius of the circular base of the cone.
h: cone height
The cone radius is given by:
 $r = d / 2 
$
 Where,
d: diameter of the circular base.
Substituting values we have:
 $r = 6/2 

r = 3 cm$ 
Then, the volume will be:
 $V = (1/3) * (3.14) * (3 ^ 2) * (10) 

V = 94.2 cm ^ 3$ 
Answer:
The volume of the cone is given by:
 $V = 94.2 cm ^ 3$

4 0

3 years ago

Read 2 more answers

Combine the following fractions by addition or subtraction as directed.

Marina86 [1]

Answer: $\frac{6}{y^2-xy}-\frac{6}{x^2-xy}=\frac{6(x+y)}{xy(y-x)}$

Explanation:

Combining the fractions, we have:

$\begin{gathered} \frac{6(x^2-xy)-6(y^2-xy)}{(x^2-xy)(y^2-xy)} \\ \\ =\frac{6x^2-6xy-6y^2+6xy}{(x^2-xy)(y^2-xy)} \\ \\ =\frac{6x^2-6y^2}{x(x-y).y(y-x)} \\ \\ =\frac{6(x-y)(x+y)}{-xy(x-y)^2} \\ \\ =\frac{-6(x+y)}{xy(x-y)} \\ \\ =\frac{6(x+y)}{xy(y-x)} \end{gathered}$

8 0

1 year ago