Answer:
w = -15
Step-by-step explanation:
-5w = 7 - 4w + 8
Grouping like terms together,
-5w+4w = 7+8
-w = 15
w = -15
<span>N(t) = 16t ; Distance north of spot at time t for the liner.
W(t) = 14(t-1); Distance west of spot at time t for the tanker.
d(t) = sqrt(N(t)^2 + W(t)^2) ; Distance between both ships at time t.
Let's create a function to express the distance north of the spot that the luxury liner is at time t. We will use the value t as representing "the number of hours since 2 p.m." Since the liner was there at exactly 2 p.m. and is traveling 16 kph, the function is
N(t) = 16t
Now let's create the same function for how far west the tanker is from the spot. Since the tanker was there at 3 p.m. (t = 1 by the definition above), the function is slightly more complicated, and is
W(t) = 14(t-1)
The distance between the 2 ships is easy. Just use the pythagorean theorem. So
d(t) = sqrt(N(t)^2 + W(t)^2)
If you want the function for d() to be expanded, just substitute the other functions, so
d(t) = sqrt((16t)^2 + (14(t-1))^2)
d(t) = sqrt(256t^2 + (14t-14)^2)
d(t) = sqrt(256t^2 + (196t^2 - 392t + 196) )
d(t) = sqrt(452t^2 - 392t + 196)</span>
Answer: 100
Step-by-step explanation:
<h2>
QUESTION</h2>
What is 33% of 400?
<h2>
ANSWER AND EXPLANATION</h2>
To find the percent of a number, you have to change the percent into a decimal or a fraction and multiply by the number.
<h3>
DECIMAL</h3>
To change a percent into a decimal, remove the percent sign and move the decimal point 2 places to the left.
Now that you have your decimal, multiply by 400:
ANSWER = 132
<h3>
FRACTION</h3>
To change a percent into a fraction, make the percent number as the numerator(top number) and 100 as the denominator(bottom number) since fractions are out of 100.
Now that you have your fraction, multiply by 400:
ANSWER = 132
<em>If you have any questions, feel free to ask in the comments! :)</em>
