Hey there!
Question #1.
2^6 + (2^3)^3
= 64 + (8)^3
= 64 + 8^3
= 64 + 512
= 576
Therefore, the answer should be:
Option A. 576
Question #2.
11^-4 * 11^8
= 1/14,641 * 214,358,881
= 14,641
≈ 11^4
Therefore, the answer should be:
Option C. 11^4
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
32.5 percent of what number is 12.48? The answer
is 100
Check the picture below.
Make sure your calculator is in Degree mode.
Answer:
m<N = 76°
Step-by-step explanation:
Given:
∆JKL and ∆MNL are isosceles ∆ (isosceles ∆ has 2 equal sides).
m<J = 64° (given)
Required:
m<N
SOLUTION:
m<K = m<J (base angles of an isosceles ∆ are equal)
m<K = 64° (Substitution)
m<K + m<J + m<JLK = 180° (sum of ∆)
64° + 64° + m<JLK = 180° (substitution)
128° + m<JLK = 180°
subtract 128 from each side
m<JLK = 180° - 128°
m<JLK = 52°
In isosceles ∆MNL, m<MLN and <M are base angles of the ∆. Therefore, they are of equal measure.
Thus:
m<MLN = m<JKL (vertical angles are congruent)
m<MLN = 52°
m<M = m<MLN (base angles of isosceles ∆MNL)
m<M = 52° (substitution)
m<N + m<M° + m<MLN = 180° (Sum of ∆)
m<N + 52° + 52° = 180° (Substitution)
m<N + 104° = 180°
subtract 104 from each side
m<N = 180° - 104°
m<N = 76°
Answer: it will take 25 months
Step-by-step explanation:
Let x represent the number of months that it will take for the cost of both plans to be the same.
Cell phone Plan A costs $70 per month and comes with a free $500 phone. This means that the total cost of x months with plan A would be
70 × x = $70x
Cell phone plan B costs 50 per month but does not come with a phone. If you buy the 500 phone and choose plan B, then the total cost of x months with plan B would be
500 + 50 × x = 500 + 50x
To determine the number of months until your cost is the same as Plan A's, we would equate both costs. It becomes
70x = 500 + 50x
70x - 50x = 500
20x = 500
x = 500/20 =25
