Answer:
9
Step-by-step explanation:
m = j^2 -7p
18 = j^2 -7(9)
18 = j^2 - 63
81 = j^2
√81 = √j^2
9 = j
Answer:
HJ = 5.20
HI = 3
angle J = 30 degrees
Step-by-step explanation:
sin 60 = HJ/6
HJ = 5.20
cos 60 = HI/6
HI = 3
angle J = 90-60 = 30 degrees
Answer:
x = 3.85
Step-by-step explanation:
Given equation:
6ˣ = 1,000
now,
on taking log both sides, we get
⇒ log(6ˣ) = log(1,000)
or
⇒ log(6ˣ) = log(10³)
now we know the property of log function that
log(aᵇ) = b × log(a)
thus, applying the above property, we get
⇒ x × log(6) = 3log(10)
or
⇒ x × log(2×3) = 3log(10)
now,
we have another property of log function as":
log(A) = log(A) + log(B)
therefore,
x × [log(2) + log(3)] = 3log(10)
also,
log(10) = 1
log(2) = 0.3010
log(3) = 0.4771
Thus,
⇒ x × [0.3010 + 0.4771 ] = 3 × 1
or
⇒ x × 0.7781 = 3
or
⇒ x = 3.85
Answer:
3.10h + 2.30b ≥ 100
Step-by-step explanation:
Tammy earns $3.10 for each hour,
Let h represents hour,
So total earning for h number of hours will be 3.10h
Tammy earns $2.30 for each bushel of apples
Let b represents bushel of apples,
So total earning for b number of bushels will be 2.30b
Tammy's goal is to earn at least $100 this week
Therefore, to reach her goal the inequality will be
3.10h + 2.30b ≥ 100
Where h is the number of hour and b is the number of bushels.
