Answer:
Dotted linear inequality shaded above passes through (0, 4) and (4, 0). Solid exponential inequality shaded below passes through (negative 2,2) & (0,5)
Step-by-step explanation:
we have
----> inequality A
The solution of the inequality A is the shaded area above the dotted line 
The dotted line passes through the points (0,4) and (4,0) (y and x-intercepts)
and
-----> inequality B
The solution of the inequality B is the shaded area above the solid line 
The solid line passes through the points (0,5) and (-2,2)
therefore
The solution of the system of inequalities is the shaded area between the dotted line and the solid line
see the attached figure
Dotted linear inequality shaded above passes through (0, 4) and (4, 0). Solid exponential inequality shaded below passes through (negative 2,2) & (0,5)
Answer:
The total surface area of all 6 prisms is 6336 in^2.
Step-by-step explanation:
Let's find the surface area of ONE prism and then multiply that result by 6 to obtain the final answer.
One prism:
The area of the two 13 in by 26 in rectangular tabs is 2(13 in)(26 in), or 676 in^2 (subtotal);
The area of the two triangles of base 10 in and height 12 in is 2([1/2][10 in][12 in], or 120 in^2; and, finally,
The area of the 10 in by 26 in base is 260 in^2.
The total surface area of ONE prism is thus:
676 in^2 + 120 in^2 + 260 in^2, or 1056 in^2.
Now, because there are 6 of these prisms, multiply this last result by 6:
6(1056 in^2) = 6336 in^2.
The total surface area of all 6 prisms is 6336 in^2.
Answer:
On the 36th day, she would go to all classes.
My work:
6- 6, 12, 18, 24, 30, 36
12- 12, 24, 36
18- 18, 36
The Newton`s law of cooling:
T = R + ( To - R ) * e ^(-kt )
We know that: T = 32° F ( the water freezes at 32° F ), To = 55° F, R = 5° F
and the cooling rate is: k = 0.012.
33° F = 5° F + ( 55° F - 5° F ) · 2.72^(-0.012 t )
33 - 5 = 50 · 2.72^(-0.012 t)
27 = 50 · 2.72^(-0.012 t)
2.72^(-0.012 t) = 27/50
1 / 2.72^(0.012 t) = 0.54
2.72^( 0.012 t ) = 1 : 0.54 = 1.85
0.012 t = log(base e) 1.85 = ln 1.85 = 0.6
t = 0.6 : 0.012 = 50
Answer: It would take 50 minutes.
Answer:
5
Step-by-step explanation:
Because -5 is a negative number and the opposite of negative is positive and 5 is positive.
