You use the distributive property to simplify expressions.
4x+3(2x+1)
2 times 2x is 6x
3 times 1 is 3
4x times 2x is 8x
4x times 1 is 4x
total that is 6x+8x+4x+3=18x+3
Hope it helps!
Answer:
509.35 feet
Step-by-step explanation:
16°23' means 16 degrees and 23 minutes. A minute is 1/60 of a degree.
16°23' = 16 + (23/60) = 16.383°
Similarly:
49°29' = 49 + (29/60) = 49.483°
When the boat is first noticed:
tan(16.383°) = 200 / a
a = 200 / tan(16.383°)
a = 680.27
When the boat stops:
tan(49.483°) = 200 / b
b = 200 / tan(49.483°)
b = 170.92
So the difference is:
a − b = 680.27 − 170.92 = 509.35
The boat traveled 509.35 feet from the time it was first noticed to the time it stopped.
Answer:
$31.50
Step-by-step explanation:
42 x 0.25 = 10.5
42 - 10.50 = 31.50
<span>Give all the 19 apples to each one of them and give the basket to the last child with the apple still inside it.</span>
Refer to the figure shown below which illustrates the problem.
Low tides occur at a depth of 2.5 m at 12:00 am and 12:30 pm, separated by a period of T = 12.5 hours.
Likewise, high tides occur at a depth of 5.5 m at 6:15 am and 6:45 pm, separated by a period of T = 12.5 hours.
Use a time coordinate of t hours.
The amplitude is (1/2)*(5.5 - 2.5) = 1.5 m.
Use x(t) to denote depth at time t.
Because x(0)=2.5 and x(T/2) = 5.5,, use the periodic function

Verify the model.
x(0) = -1.5 + 4 = 2.5
x(6.25) = 1.5 + 4 = 5.5
x(12.5) = -1.5 + 4 = 2.5
A computer plot for x(t) is shown in the accompanying figure.