Answer:
8 seconds.
Step-by-step explanation:
To solve this question, we need to find the time,
, when
, that is, when the height of the object above the ground is 0 feet.
Substituting
feet per second and
gives the quadratic:

Since 128 is divisible by 16, it can be reduced to
.
We must now solve for
.
We can easily see that one answer to the equation is 0,
(we need not concern ourselves with the 16 outside of the parenthesis as in the equation above, since 16 multiplied by 0 is 0). However this is the time the object is released into the air.
The second answer,
is also easy to see by inspection:
.
Therefore the object lands 8 seconds after it is thrown.
Step-by-step explanation:
plug y value :
10=1/2x+8
1/2x=2
x=4
Answer:
Using a calculator, we can check that e=2.718281828.
Step-by-step explanation:
Lets evaluate each one of our expression the check which one is closest to e:
(1+ \frac{1}{31} )^{31}=2.675686306
(1+ \frac{1}{32})^{32}=2.676990129
(1+ \frac{1}{34} )^{34}=2.679355428
(1+ \frac{1}{33} )^{33}=2.678207651
We can conclude that the value of (1 +1/34) to the power of 34 is the closest to the value of e.
we are given
![\frac{\sqrt[3]{7}\sqrt{7}}{\sqrt[6]{7^5}}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%5Csqrt%5B3%5D%7B7%7D%5Csqrt%7B7%7D%7D%7B%5Csqrt%5B6%5D%7B7%5E5%7D%7D%20%20%20%20%20)
we can write it in terms of exponents

Firstly , we will simplify numerator

now, we can add exponents

we can cancel it
and we get
............Answer
Answer:
Question 2) 96 Question 3) 246
Step-by-step explanation:
Question 2:
The area of one side of the square is 4x4 which is 16 then you know a cube has 6 sides so 16x6 which is 96.
Question 3:
Well we know the two sides are squares with 3x3 which is 9 and then there are two so 9x2 which is 18
Then the front side with dimensions of 19x3 which is 57 and we know there are 4 sides so we do 57x4 which leads us to 228
Then we add 18 and 228 to find 246