Answer:
It cooled 58.4 degrees
Step-by-step explanation:
T(t) = 68 + 144e ^(-.052t)
We want to find the value when t= 10
T(10) = 68 + 144e ^(-.052*10)
= 68 +85.611
T(10) =153.611
We also need to know
T(0)= 68 + 144e ^(-.052*0)
=68+144
=212
We want to know how much it cools
That would be the temperature at time 0 minus the temperature at time 10
T(0) - T (10)
212-153.611
58.389
To the nearest tenth
58.4 degrees
Given equation of the line ,
Simplify ,
Transpose terms to RHS ,
Divide both sides by 5 ,
Now we know the slope intercept form of the line as 
we have ,
As we know that the slope of all parallel lines are same . Henceforth ,
To solve this problem you must apply the proccedure shown below:
1. You have that the formula for calculate the area of a triangle is:
A=bh/2
Where A is the area of the triangle, b is the base of the triangle and h is the height of the triangle.
bh/2=124
bh=124x2
bh=248
2. The problem asks for the new area of the triangle <span>if its base was half as long and its height was three times as long. Then, you have:
Base=b/2
Height=3h
3. Therefore, when you substitute this into the formula for calculate the area of a triangle, you obtain:
A'=bh/2
(A' is the new area)
A'=(b/2)(3)/2
A'=3bh/4
4. When you substitute bh=248 into </span>A'=3bh/4, you obtain:
<span>
A'=186 units</span>²
<span>
The answer is: </span>186 units²
Answer:
She should order a total of 5,160 medium sized t-shirts
Step-by-step explanation:
To calculate the number of medium sized t-shirt to be ordered, we shall be using the proportion of students that wanted medium sized t-shirt in her survey to multiply the total number of students that we have.
From the question, we can identify that the probability that a student will like a medium sized t-shirt is simply 129/300
Now we have about 12000 students in the University, using the probability from the survey, the number of medium sized t shirt she should order would be;
129/300 * 12,000 = 129 * 40 = 5,160 medium sized t-shirts
