Answer:
x=6
Step-by-step explanation:
By the Product Rule of Logarithms, the logarithm of the product of numbers is the sum of the logarithms of the numbers.
Raise both sides to the power of 10 to eliminate the logs, obtaining:
x = -2 or x = 6. Since x = -2 is extraneous, it follows that x = 6.
Answer:
i) 56
ii) 90
Step-by-step explanation:
i) 2a (b + c) where a = 2 b = 5 and c = 9
2(2) ((5) + (9))
2(2) (14)
(4) (14)
56
ii) abc
(2)(5)(9)
90
Answer: 3?
Step-by-step explanation:
4+7= 11 and 11×3 is 33. You can spend 33 dollars for 3 tickets.
Answer:
choice a.) 4.67
Step-by-step explanation:
Using the Z-score table.
We have:
mean u = 40
standard deviation s = 3
for X = 54
Use formula for Z-score: Z = (X -u)/s
Z-score = Z = (X - u)/s = (54 - 40)/3 = 14/3 = 4.6667
P(Z > 4.6667) = 0.000003 very close to 0
Answer:
(47) c. given
(48) b. definition of complementary
(49) a, m<2 = m<3
(50) d. definition of congruent angles
Step-by-step explanation:
From the given question, the proof can be completed as;
Statement Reason
1. <2 and < 1 are complementary (47) c. given
<3 and <1 are complementary
2. m<2 + m<1 = (48) b. definition of complementary angles
m<3 + m<1 =
3. m<2 + m<1 = m<3 + m<1 3. Substitution property
4. (49) a, m<2 = m<3 4. Subtraction property
5. <2 ≅ <3 (50) d. definition of congruent angles
Therefore,
(47) c. given
(48) b. definition of complementary
(49) a, m<2 = m<3
(50) d. definition of congruent angles