Answer:
2. The answer should be the last one.
3. The answer should be the first three.
Step-by-step explanation:
<u>Question 2</u>
KE = (1/2)mv²
2KE = mv²
v² = 2KE/m
v = ±√(2KE/m)
Therefore the answer should be the last one.
<u>Question 3</u>
b^(1/2) * b^(5/2)
Remember that the <u><em>product rule</em></u> states that b^x * b^y = b^(x+y)
So this means b^(1/2) * b^(5/2) = b^(1/2+5/2) = b^(6/2) = b^3
Also remember that the <u><em>power rule</em></u> states that √b = b^(1/2)
so this means b^(6/2) can also be written as (√b)^6
Therefore the answer should be the first three.
<em>If you want to double check all of your answers, just replace b with a number (for example, 2), and plug all of the choices into the calculator. Just </em><u><em>make sure</em></u><em> you are </em><u><em>very careful</em></u><em> when typing into the calculator.</em>
Answer:
942 ft²
Step-by-step explanation:
The diagram shows the area to be 3/4 of that of a circle of radius 20 ft. The area of a circle is given by ...
A = πr² = π(20 ft)² = 400π ft²
Then 3/4 of that area is ...
dog run = (3/4)(400π ft²) = 300π ft² ≈ 942.48 ft²
The area of the dog's run is about 942 ft².
Answer:
f(x) = 8(1/2)^x.
Step-by-step explanation:
According to the graph, there is a point at (0, 8) and (1, 4).
That means that when x = 0, y = 8.
8 = a(b)^0
1a = 8
a = 8
That means that a = 8, and when x = 1, y = 4.
4 = 8(b)^1
4 = 8b
8b = 4
b = 4/8
b = 1/2
So, f(x) = 8(1/2)^x.
Hope this helps!
Answer:
A and C is true statements
Answer:
x=19
Step-by-step explanation:
These two angles are alternate interior angles and alternate interior angles are equal when the lines are parallel
148 = 7x+15
Subtract 15 from each side
148-15 =7x+15-15
133 = 7x
Divide by 7
133/7 = 7x/7
19 =x
