I just encountered this question. Here's my answer:
Given:
3 kids
product of their ages is 72.
Youngest child.
The youngest child means that all three kids have different ages.
We need to factor 72. Let us use prime factorization.
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
1 x 2 x 2 x 2 x 3 x 3 = 72
Based on the factors we can assume the following ages:
2 x 4 x 9 = 72
3 x 4 x 6 = 72
1 x 8 x 9 = 72 I prefer this age combination.
1 x 3 x 24 = 72
<span>1 x 4 x 18 = 72</span>
2. F = ma
a.) Solve this equation for a (isolate the a)
F = ma Divide m on both sides
b.) F = -25
m = 10
a = ?
a = -2.5
c.) F = 25
a = 5
m = ?
F = ma
25 = m(5) Divide 5 on both sides
5 = m
(don't forget the units, because I forgot to put the units)
Answer:
y= -2x+2.
Step-by-step explanation:
1) according to the condition interception is '2' (point (0;2));
2) slope is: (2+4)/(0-3)= -2;
3) finally the required equation is: y=-2x+2.
P.S. the suggested option is not the only one.
Answer:
Resistivity
Step-by-step explanation:
Resistivity : It is a fundamental property of a material that measures how strongly a particular material opposes the flow of electric current. It is also known as specific resistance.
- A low resistivity indicates a material that easily allows the flow of electric current.
- Resistivity is commonly represented by the Greek letter ρ (rho) or abbreviated with a a capital letter K. The SI unit of electrical resistivity is the ohm-metre (Ω⋅m).
Hence, the correct answer for the blank is Resistivity.
Answer:
1350 square inches
Step-by-step explanation:
The area of the end trapezoid is ...
A = (1/2)(b1 +b2)h = (1/2)(12 +36)(5) = 120 . . . . . square inches
The perimeter of the end trapezoid is ...
P = 13 +12 +13 + 3×12 = 74 . . . . inches
so the total area of the rectangular surfaces (including the bottom) is ...
(74 in)(15 in) = 1110 in²
The total area of the ramp is this rectangular area plus the two trapezoidal ends:
total area = rectangle area + 2×trapezoid area
= 1110 in² +2×120 in²
total area = 1350 square inches
