Answer:
Step-by-step explanation:
2x - 5y = 10
2(-3.5) - 5y = 10
-7 - 5y = 10
+7 +7
-5y = 17
-5 -5
y = -3.4
The value of y is equal to A. -3.4.
Figure out the length of the rectangle by using the diameter of the 2 circles added together then work out the width by using the diameter of one circle (since the vertical diameter will be the same length as the width if that makes sense)
Answer:
2
Step-by-step explanation:
The "average value of function f(x) on interval [a, b] is given by:
f(b) - f(a)
ave. value = ---------------
b - a
Here f(t)=(t-2)^2.
Thus, f(b) = (b - 2)^2. For b = 6, we get:
f(6) = 6^2 - 4(6) + 4, or f(6) = 36 - 24 + 4 = 16
For a = 0, we get:
f(0) = (0 - 2)^2 = 4
Plugging these results into the ave. value function shown above, we get:
16 - 4
ave. value = ------------ = 12/6 = 2
6 - 0
The average value of the function f(t)=(t-2)^2 on [0,6] is 2.
Answer:
Inequality: 
Inequality solved: 
The graph is attached.
Step-by-step explanation:
You need to remember the meaning of the inequalities symbols:
: Less than.
: Greater than.
: Less than or equal to.
: Greater than or equal to.
Let be "x" the number of more songs Carlotta can download.
According to the information given in the exercise, she can download no more than 12 song files per week. This indicates that you must use the symbol
.
Since she has already downloaded 10 song files this week, you can write the following inequality that represents this situation:

In order to solve it, you must subtract 10 from both sides:

Plot this result on a number line.
Since the symbol of the inequality is
, the dot must be filled (Observe the number line attached).
Answer:
is closest to the total surface area of the box
Step-by-step explanation:
we know that
The surface area of the box is equal to

where
B is the area of the base
P is the perimeter of the base
H is the height of the box
we have



<em>Find the area of the base B</em>


<em>Find the perimeter of the base P</em>



<em>Find the surface area</em>


