Q1. The answers are (–1, 8), (0, 7), (3, 18)
<span>–3x + y ≥ 7
</span>Let's go through all choices:
<span>(–2, –3)
</span>(-3) * (-2) + (-3) ≥ 7
6 - 3 ≥ 7
3 ≥ 7 INCORRECT
(–1, 8)
(-3) * (-1) + 8 ≥ 7
3 + 8 ≥ 7
11 ≥ 7 CORRECT
(0, 7)
(-3) * 0 + 7 ≥ 7
0 + 7 ≥ 7
7 ≥ 7 CORRECT
(1, 9)
(-3) * 1 + 9 ≥ 7
-3 + 9 ≥ 7
6 ≥ 7 INCORRECT
(3, 18)
(-3) * 3 + 18 ≥ 7
-9 + 18 ≥ 7
9 ≥ 7 CORRECT
Q2. The answers are:
5x + 12y ≤ 80
x ≥ 4
<span>y ≥ 0
</span>
<span>x - small boxes
</span><span>y - large boxes
</span>He has x small boxes that weigh 5 lb each and y large boxes that weigh 12 lb each <span>on a shelf that holds up to 80 lb:
5x + 12y </span>≤ 80
Jude needs at least 4 small boxes on the shelf: x ≥ 4
Let's check if y can be 0:
5x + 12y ≤ 80
5x + 12 * 0 ≤ 80
5x + 0 ≤ 80
5x ≤ 80
x ≤ 80 / 5
x ≤ 16
x ≥ 4 can include x ≤ 16
So, y can be 0: y ≥ 0
Multiply 4 on both sides.
x = 8 / 5
x = 1 3/5
Hope this helps!
Answer:
5.099*10^14 m^2
Step-by-step explanation:
Earth is in thermal equilibrium. This means that our planet is radiating away exactly as much energy as it is receiving from the Sun. This "re-radiation" from the Earth is not visible because it its peak wavelength is in the infrared part of the spectrum. Even the coldest parts of the Earth are way above absolute zero, so every square meter of Earth’s surface is radiating this energy out to space. Using the same radius given in step 2 above, and the formula for the area of a sphere, calculate the surface area of the Earth.
(The radius of the Earth is 6,370,000 meters.)
The earth is spherical in shape , so we use the formula for finding the surface area of a sphere
Surface Area=
S.A=4*3.14*6,370,000^2
S.A=4*pi*40576900000000
S.A=5.099*10^14m^2
Man occupies about one-eighth of the earth.
Answer:
The given statement is true.
Hope this helps!
Answer: initial Y = 20g
Y as a function of time is in the explanation.
Step-by-step explanation: Please find the attached file for the solution