Answer:
i) 1350 m
ii) 5400 m
Step-by-step explanation:
<u>Formula for Speed</u>
Rearrange the formula so that Distance is the subject:
<h3><u>Question (i)</u></h3>
Given:
- Speed = 45 m/s (meters per second)
- Time = 30 seconds
Substitute the given values into the formula for distance:
<h3><u>Question (ii)</u></h3>
Given:
- Speed = 45 m/s (meters per second)
- Time = 2 minutes
As the time is given in a different unit of time as the speed, we must first convert the time into seconds:
1 minute = 60 seconds
⇒ 2 minutes = 60 × 2 = 120 seconds
Therefore:
- Speed = 45 m/s (meters per second)
- Time = 120 seconds
Substitute the values into the formula for distance:
Answer:
x = -11/9
Step-by-step explanation:
7(x+3)=-2(x-5)
Distribute
7x+21 = -2x+10
Add 2x to each side
7x+21 +2x = -2x+10+2x
9x +21 = 10
Subtract 21 from each side
9x +21-21 = 10-21
9x = -11
Divide each side by 9
9x/9 = -11/9
x = -11/9
6x3+49x2+126x+104 (I just simplified it, if it is incorrect I'm sorry I didnt understand what you were asking -,^-)
Answer:
FV=PV(1−d)^n
FV = 290(1-.132)^14
FV = 290(.868)^14
FV = 39.96 g
Step-by-step explanation:
Given the function :
![f(x)=\sqrt[]{x+2}+1](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B%5D%7Bx%2B2%7D%2B1)
We need to find each missing value
Given x = -3 , -2 , -1 , 2 , 7
So, substitute with each value of x to find the corresponding value of f(x)
![x=-3\rightarrow f(x)=\sqrt[]{-3+2}+1=\sqrt[]{-1}+1](https://tex.z-dn.net/?f=x%3D-3%5Crightarrow%20f%28x%29%3D%5Csqrt%5B%5D%7B-3%2B2%7D%2B1%3D%5Csqrt%5B%5D%7B-1%7D%2B1)
So, there is no value for f(x) at x = -3 (the function undefined because the square root of -1)
![\begin{gathered} x=-2\rightarrow f(x)=\sqrt[]{-2+2}+1=\sqrt[]{0}+1=0+1=1 \\ \\ x=-1\rightarrow f(x)=\sqrt[]{-1+2}+1=\sqrt[]{1}+1=1+1=2 \\ \\ x=2\rightarrow f(x)=\sqrt[]{2+2}+1=\sqrt[]{4}+1=2+1=3 \\ \\ x=7\rightarrow f(x)=\sqrt[]{7+2}+1=\sqrt[]{9}+1=3+1=4 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%3D-2%5Crightarrow%20f%28x%29%3D%5Csqrt%5B%5D%7B-2%2B2%7D%2B1%3D%5Csqrt%5B%5D%7B0%7D%2B1%3D0%2B1%3D1%20%5C%5C%20%20%5C%5C%20x%3D-1%5Crightarrow%20f%28x%29%3D%5Csqrt%5B%5D%7B-1%2B2%7D%2B1%3D%5Csqrt%5B%5D%7B1%7D%2B1%3D1%2B1%3D2%20%5C%5C%20%20%5C%5C%20x%3D2%5Crightarrow%20f%28x%29%3D%5Csqrt%5B%5D%7B2%2B2%7D%2B1%3D%5Csqrt%5B%5D%7B4%7D%2B1%3D2%2B1%3D3%20%5C%5C%20%20%5C%5C%20x%3D7%5Crightarrow%20f%28x%29%3D%5Csqrt%5B%5D%7B7%2B2%7D%2B1%3D%5Csqrt%5B%5D%7B9%7D%2B1%3D3%2B1%3D4%20%5Cend%7Bgathered%7D)
the graph of the function and the points will be as shown in the following image :
