The answer is 1 by multiplying by itself
Answer:
![t=1.020s](https://tex.z-dn.net/?f=t%3D1.020s)
Step-by-step explanation:
Given Equation:
![5t-0.5at^{2} =0](https://tex.z-dn.net/?f=5t-0.5at%5E%7B2%7D%20%3D0)
Actually the given equation is the 2nd equation of motion
i.e. ![S =V_{i} t+0.5at^{2}](https://tex.z-dn.net/?f=S%20%3DV_%7Bi%7D%20t%2B0.5at%5E%7B2%7D)
where
because the astronaut jumps on the earth
and initial velocity ![V_{i}=5](https://tex.z-dn.net/?f=V_%7Bi%7D%3D5)
to find time
, put the given value of
in the given equation, we get
![5t-0.5(9.8)t^{2} =0\\t(5-4.9t)=0\\ \ dividing\ both\ sides\ by\ t\ we \ get\\ 5-4.9t=0\\4.9t=5\\t=\frac{5}{4.9}\\ t=1.020s](https://tex.z-dn.net/?f=5t-0.5%289.8%29t%5E%7B2%7D%20%3D0%5C%5Ct%285-4.9t%29%3D0%5C%5C%20%5C%20dividing%5C%20both%5C%20sides%5C%20by%5C%20t%5C%20we%20%5C%20get%5C%5C%205-4.9t%3D0%5C%5C4.9t%3D5%5C%5Ct%3D%5Cfrac%7B5%7D%7B4.9%7D%5C%5C%20t%3D1.020s)
it will take
to reach the ground if he jumps on the Earth
Answer:
3 1/2 gallons of paint
Step-by-step explanation:
1 5/8 - 5/6 = x
Turn the mixed number into an improper fraction:
1 5/8 = 13/8 = x
13/8 - 5/6 = x
make the denominator the same:
13/8 * 3 = 104/24
5/6 * 4 = 20/24
Subtract:
104/24 - 20/24 = 84/24
Simplify:
84/24 divided by 6 = 14/4
14/4 divided by 2 = 7/2
Turn into a mixed number:
3 1/2
Hope this helps!!! ~Carley
Subtraction Property of Inequality is used to solve the given inequality
<em><u>Solution:</u></em>
Given inequality is:
![y + 8 < - 8](https://tex.z-dn.net/?f=y%20%2B%208%20%3C%20-%208)
To solve the inequality, subtract 8 on both sides,
We know that,
Adding or subtracting the same quantity from both sides of an inequality leaves the inequality symbol unchanged
Also, by Subtraction Property of Inequality,
If you minus a number from one side of an inequality, you have to minus that same number from the other side of the inequality as well
![y + 8 < - 8\\\\\text{Subtract 8 from both sides of inequality }\\\\y + 8 - 8 < -8 - 8\\\\simplify,\\\\y](https://tex.z-dn.net/?f=y%20%2B%208%20%3C%20-%208%5C%5C%5C%5C%5Ctext%7BSubtract%208%20from%20both%20sides%20of%20inequality%20%7D%5C%5C%5C%5Cy%20%2B%208%20-%208%20%3C%20-8%20%20-%208%5C%5C%5C%5Csimplify%2C%5C%5C%5C%5Cy%3C-16)
Thus, Subtraction Property of Inequality is used
Answer:
undefined slope
Step-by-step explanation:
The line is a vertical line
Vertical lines have an undefined slope