Answer:
102 mg
Step-by-step explanation:
Let's convert 28 pounds to kgs.
Since 1 kg = 2.2 pounds, we can find:
So 28 pounds is 12.73 Kg
Since 8mg is given per kg, for 12.73 kg, the amount given should be:
12.73 * 8 = 101.84
Rounded to nearest whole number, that is, 102 mg
Answer:
3/4 shall be our slope.
Step-by-step explanation:
You can solve the slope by doing this formula y₂ - y₁ / x₂ - x₁ = slope.
Your coordinates:
(-4,0) and (0,3)
You have to set up your formula:
3 is the y2 and 0 is the y1
3-0 for y so far.
Now, set up the x's
0 is our x2 more known as our second x
Then our x1 is -4
0 - (-4).
Our Formula:
3-0 / 0+4
**Notice the negatives canceled to a positive due to the rule.**
3/4 shall be our slope.
You could've also risen and run starting from (-4,0) to (0,3) to get a slope of 3/4.
Answer:
0 ≤ t ≤ 5.
Step-by-step explanation:
In the function 
, 
is the independent variable. The domain of 
is the set of all values of that this function can accept.
In this case, is defined in a real-life context. Hence, consider the real-life constraints on the two variables. Both time and volume should be non-negative. In other words,
.
.
The first condition is an inequality about , which is indeed the independent variable.
However, the second condition is about , the dependent variable of this function. It has to be rewritten as a condition about .
![\begin{aligned} f(t) &\ge 0 &&\text{Assumption} \cr 80000 - 16000\, t& \ge 0 && \text{Definition of} ~ f \cr 80000 & \ge 16000\, t && \begin{aligned}&\text{Add $16000\, t$} \\[-0.5em] & \text{to both sides of the inequality}\end{aligned} \cr 5 &\ge t &&\begin{aligned}&\text{Divide both sides of} \\[-0.5em] & \text{the inequality by $16000$}\end{aligned} \cr t &\le 5 && \text{Flip the inequality}\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%20f%28t%29%20%26%5Cge%200%20%26%26%5Ctext%7BAssumption%7D%20%5Ccr%2080000%20-%2016000%5C%2C%20t%26%20%5Cge%200%20%26%26%20%5Ctext%7BDefinition%20of%7D%20~%20f%20%5Ccr%2080000%20%26%20%5Cge%2016000%5C%2C%20t%20%26%26%20%5Cbegin%7Baligned%7D%26%5Ctext%7BAdd%20%2416000%5C%2C%20t%24%7D%20%5C%5C%5B-0.5em%5D%20%26%20%5Ctext%7Bto%20both%20sides%20of%20the%20inequality%7D%5Cend%7Baligned%7D%20%5Ccr%205%20%26%5Cge%20t%20%26%26%5Cbegin%7Baligned%7D%26%5Ctext%7BDivide%20both%20sides%20of%7D%20%5C%5C%5B-0.5em%5D%20%26%20%5Ctext%7Bthe%20inequality%20by%20%2416000%24%7D%5Cend%7Baligned%7D%20%5Ccr%20t%20%26%5Cle%205%20%26%26%20%5Ctext%7BFlip%20the%20inequality%7D%5Cend%7Baligned%7D)
.
Hence, t ≤ 5.
Combine the two inequalities to obtain the domain:
0 ≤ t ≤ 5.
Answer:
3•10^3 is 3,000, so the answer is 9,000
Answer:
The runner-up ate 5 hotdogs
Step-by-step explanation:
15/3 = 5
