0.5u + 2v. This is because u can separate the logs to ln(sqrx) + ln(y^2) and use basic log principles to get 0.5lnx +2lny. Then u substitute
D=dimes
q=quarters
d + q = 20
.10d + .25q = 3.05
d=-q + 20
.10(-q + 20) +.25q = 3.05
-.10q + 2 + .25 = 3.05
.15q + 2 = 3.05
.15q + 2 - 2 = 3.05 - 2
.15q = 1.05
.15q/.15 = 1.05/.15
q = 7
d + 7 = 20
d + 7 - 7 = 20 - 7
d = 13
Sally has 7 quarters and 13 dimes.
Hope this helps!
7 miles =50min
1min=0.14m
distance of 75 miles=0.14*75=10.5mile
Answer:
The value of x = -0.46
Step-by-step explanation:
∵
÷ 
∴ 
* Subtract the power of the same bases
∴ 
* Let 
∴ 
∴ 4y² - 1 = -3y
∴ 4y² + 3y - 1 = 0 ⇒ factorize
∴ (4y - 1)(y + 1) = 0
∴ y + 1 = 0 ⇒ y = -1
∴ 4y - 1 = 0 ⇒ 4y = 1 ⇒ y = 1/4
∵ 
∴ y = -1 refused (
never gives -ve value)
∴
⇒ insert <em>ln</em> in both sides
∵
⇒ <em>ln</em>(e) = 1
∴ 3xln(e) = ln(1/4)
∴ 3x = ln(1/4)
∴ x = [ln(1/4)] ÷ 3 = -0.46
Answer:
J = 8
Step-by-step explanation:
multiply both sides of the equation by 4/3 = 4/3 × 3/4j = 4/3 × 6
Reduce the numbers with the greatest common factor 4 = 1/3 × 3j = 4/3 × 6
j = 4/3 × 6
j = 4 × 2
Multiply the numbers = j = 4 × 2
j = 8