log(4) + log(2) - log(5)
= log(2²) + log(2) - log(5)
= 2 log(2) + log(2) - log(5)
= 3 log(2) - log(5)
= log(2³) - log(5)
= log (2³/5)
= log (8/5)
= log (1.6) = 0.2041... (rounded)
We are given a rain gutter made from folding a 12 inch wide aluminum sheet to an angle theta. The area of the opening is expressed as A(Θ) = 16 sin Θ (cos Θ + 1) where <span>Θ = 45°. we can just substitute directly the angle in degrees mode in the calculator and the answer is equal to 19.32 inches2.</span>
Answer:
(y^2+3y-28)/(4y^2-15y-4)
Step-by-step explanation:
(4y-1)(y-3)(2y+3)(y+3)(y+7)(y-3)/(2y+3)(y-4)(4y+1)(4y-1)(y-3)(y+3)
= (y+7)(y-3)/(y-4)(4y+1)
= (y^2+3y-28)/(4y^2-15y-4)
There are 47 dimes and 23 quarters.
Step-by-step explanation:
Total amount = $10.45 = 10.45*100 = 1045 cents
Total coins = 70
1 dime = 10 cents
1 quarter = 25 cents
Let,
Dimes = x
Quarters = y
According to given statement;
x+y=70 Eqn 1
10x+25y=1045 Eqn 2
Multiplying Eqn 1 by 10;

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 15;

Putting y=23 in Eqn 1

There are 47 dimes and 23 quarters.
Keywords: linear equations, subtraction
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Answer: 
Step-by-step explanation:
We know that:

Where "d" is distance, "r" is rate and "t" is time.
Solved for the time "t":

The first step is to convert the distance from miles to feet.
Since
, we get:

Knowing that:

We can substitute values into
in order to find the time in seconds:

Since:

The time in minutes is:
