Answer:
The maximum number of sandwiches she can buy is 24.
Step-by-step explanation:
We can create a function to represent the cost of her team's lunch in function of the number of people in the team. We have:
Since she needs to stay on budget, the cost has to be less or equal to 170, therefore:
Since she can't buy 0.8 sandwiches, the maximum number of sandwiches she can buy is 24.
<u>Given</u>
- a = m(2) + 2
- value of a when m = -3
<u>Substitute m with -3</u>
a = -3*2 + 2
a = -6 + 2
a = -4
<u>Answer</u>
The value of a when m = -3 is -4
Initial Conditions:
length=L= 10 cm = (10*10⁻²)m
Diameter=D= 2 cm= (2*10⁻²)m
Radius= r= 0.01m
Area=A= π*r²/2 =1.57*10⁻⁴ m²
Resistance=R= 600 ohm
So, from initial conditions we find resistivity(р)
R=рL/A
R*A /L=р
(600)*(1.57*10⁻⁴)/(10*10⁻²)=р
р=0.942 Ω m
<span>As, material remains same so resistivity(p) doesn't change
</span>Lenght= L1= 15 fm= 15*10⁻¹⁵ m
Diameter= D1 = 5 cm= 5*10⁻² m
Radius= r= 0.025 m
Area= A1= π*r²/2 =9.8125*10⁻⁴ m²
R=р*L1/A1
R=(0.942 )*(15*10⁻¹⁵ )/(9.8125*10⁻⁴)
R=1.44*10⁻¹¹ Ω
Answer:
3a + 5b - 2
Step-by-step explanation:
The perimeter is the sum of all 3 sides of the triangle.
To find the missing side (x ) sum the 2 known sides and subtract from the perimeter.
x = 6a + 2b - 5 - (2a + 6b - 6 + a - 9b + 3 ) ← simplify parenthesis
= 6a + 2b - 5 - (3a - 3b - 3 ) ← distribute by - 1
= 6a + 2b - 5 - 3a + 3b + 3 ← collect like terms
= 3a + 5b - 2 ← length of missing side
Answer:
A rotation of 180* around point Z
Step-by-step explanation:
The pentagon is translated then rotated around z
