Use Multiplication Distribute Property: (xy)^a = x^ay^a
6^2(x^-2)^2(0.5x)^4
Simplify 6^2 to 36
36(x^-2)^2(0.5x)^4
Use this rule: (x^a)^b = x^ab
36x^-4(0.5x)^4
Use the Negative Power Rule: x^-a = 1/x^a
36 × 1/x^4(0.5x)^4
Use the Multiplication Distributive Property: (xy)^a = x^ay^a
36 × 1/x^4 × 0.5^4x^4
Simplify 0.5^4 to 0.0625
36 × 1/x^4 × 0.0625x^4
Simplify
2.25x^4/x^4
Cancel x^4
<u>2.25</u>
Answer:
Figure C
Step-by-step explanation:
Figure A represents a ray because it has arrow only on one end.
Figure B is a line segment because it stops on both ends.
Figure C is a line because it has arrow on both ends.
Figure D is an angle, because it is 2 rays joined at a vertex.
The answer is B because C and D are not true. Angle-Angle theorem does not prove congruency. Hypotenuse-Leg does because having a hypotenuse means that the triangle is a right angle triangle, which means that 2 sides and an angle are congruent in the triangles. By Side-Side-Angle Theorem, the triangles are congruent.
An obtuse triangle must have an angle greater than 90degrees (cannot equal 90). Therefore, A. would be the correct answer. This is because A. is the only set of angles that includes an angle greater than 90. Also, all angle measures add up to equal 180degrees.
Answer:
d. 194481
Step-by-step explanation:
We solve this question using exponential growth rate formula
This is given as:
y = a(1 + r) ^t
Where y = Amount after time t
a = Initial amount = 160000
r = growth or increase rate = 5% = 0.05
t = time in years = 4
y = 160000(1 + 0.05)⁴
y = 160000(1.05)⁴
y = 194481
Therefore, the number of cows needed after 4 years to fulfill the requirement of the milk is 194481
