Answer:
<h2>
120</h2>
Step-by-step explanation:
Given
u = 14 , a = 8 , t = 4
Now, let's find the value of s
![s = ut + \frac{1}{2} a {t}^{2}](https://tex.z-dn.net/?f=s%20%3D%20ut%20%2B%20%20%5Cfrac%7B1%7D%7B2%7D%20a%20%7Bt%7D%5E%7B2%7D%20)
plug the values
![= 14 \times 4 + \frac{1}{2} \times 8 \times {4}^{2}](https://tex.z-dn.net/?f=%20%3D%2014%20%5Ctimes%204%20%2B%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%208%20%5Ctimes%20%20%7B4%7D%5E%7B2%7D%20)
Reduce the numbers with G.C.F 2
![= 14 \times 4 + 4 \times {4}^{2}](https://tex.z-dn.net/?f=%20%3D%2014%20%5Ctimes%204%20%2B%204%20%5Ctimes%20%20%7B4%7D%5E%7B2%7D%20)
Multiply the numbers
![= 56 + 4 \times {4}^{2}](https://tex.z-dn.net/?f=%20%3D%2056%20%2B%204%20%5Ctimes%20%20%7B4%7D%5E%7B2%7D%20)
Calculate the product
![= 56 + {4}^{3}](https://tex.z-dn.net/?f=%20%3D%2056%20%2B%20%20%7B4%7D%5E%7B3%7D%20)
Evaluate the power
![= 56 + 64](https://tex.z-dn.net/?f=%20%3D%2056%20%2B%2064)
Add the numbers
![= 120](https://tex.z-dn.net/?f=%20%3D%20120)
Hope this helps..
best regards!!
Answer: He will have enough! And he will have $2 to spare so he can buy a candy bar! :)
Step-by-step explanation:
$75 - $24 = 51. ($51 - 12.25) Four times = $2.
For this case we must solve the following equation:
![\frac {x + 4} {3} = 2](https://tex.z-dn.net/?f=%5Cfrac%20%7Bx%20%2B%204%7D%20%7B3%7D%20%3D%202)
We follow the steps below:
Multiplying by 3 on both sides of the equation we have:
![x + 4 = 3 * 2\\x + 4 = 6](https://tex.z-dn.net/?f=x%20%2B%204%20%3D%203%20%2A%202%5C%5Cx%20%2B%204%20%3D%206)
Subtracting 4 from both sides of the equation:
![x = 6-4\\x = 2](https://tex.z-dn.net/?f=x%20%3D%206-4%5C%5Cx%20%3D%202)
Thus, the solution of the equation is![x = 2](https://tex.z-dn.net/?f=x%20%3D%202)
Answer:
![x = 2](https://tex.z-dn.net/?f=x%20%3D%202)
Answer:
Observational study is not controlled
Designed experiment is controlled.
Designed experiment
Step-by-step explanation:
An observational study draws from a sample of a population where the independent variable is not controlled because of ethical reasons and personal interference and sometimes constraints. The researcher therefore observes the population of choice without manipulation or interference.
A designed experiment is under controlled conditions, in which the researcher manipulates variables to determine a output and it constantly inputting things to improves the final result. Designed experiment is always under controlled environments with many things being anticipated or calculated.
The designed experiment therefore allows the researcher to claim causation between an explanatory variable and a response variable