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Vera_Pavlovna [14]
3 years ago
6

You rent three movies and return them a day late. The regular rental fee is x dollars per movie. You are charged a total of (3x+

6) dollars.
Mathematics
1 answer:
OlgaM077 [116]3 years ago
8 0

minus 6 on both sides and then reduce down

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a map has a scale of 1 : 50000. Bridgetown is 16.7km away from Littleton. What is the distance between these towns on the map?
lisov135 [29]

Answer:

if it is 1 cm answer is 3340cm

Step-by-step explanation:

1m = 100 cm

500m = 50000cm

change 16 .7 to m

16700

divide

16700/500

33.4

change to cm = 3340

3 0
3 years ago
9. An airline food service finds that a recent flight of 120 passengers ordered dinner as depicted in the table below. Based on
lina2011 [118]

Answer:

80

Step-by-step explanation:

25/120 ( since you are trying to find probability of a situation)=.2083

.2083*380=79.167 (just round it off to the nearest 1 which is 80).

3 0
2 years ago
Verify the identity sin (x + ???? / 2) = cos(x) for all real numbers x by using a graph.
Tamiku [17]

Answer:

See proof and explanation below.

Step-by-step explanation:

First we can proof this analitically first using the following property:

sin(a+b) = sin(a) cos(b) + sin (b) cos(a)

If we apply this into our formula we got:

sin (x + \frac{\pi}{2}) = sin (x) cos(\frac{\pi}{2}) + sin (\frac{\pi}{2}) cos (x)

And if we simplify we got:

sin (x + \frac{\pi}{2}) = sin (\frac{\pi}{2}) cos (x)= cos (x)

And that complete the proof.

If we analyze the graphs sin(x) and cos (x) we see that we have a gap between two graphs of \pi/2 as we can see on the figure attached.

When we do the transformation sin(x +\pi/2) we are moving to the left \pi/2 units and then would be exactly the cos function.

4 0
3 years ago
What is the sum of the first five terms of a geometric series with a1=6 and r=1/3?
Anuta_ua [19.1K]
The sum of a geometric sequence is:

s(n)=a(1-r^n)/(1-r), s(n)=nth sum, a=initial value, r=common ratio, n=term #

In this case we are told that a=6 and r=1/3 so:

s(n)=6(1-(1/3)^n)/(1-1/3)

s(n)=6(1-(1/3)^n)/(2/3)

s(n)=9(1-(1/3)^n), so the sum of the first 5 term is:

s(5)=9(1-(1/3)^5))

s(5)=9(1-(1/243))

s(5)=9(242/243)

s(5)=2178/243

s(5)=242/27

s(5)=8 26/27  ...if you wanted an approximation s(5)≈8.96 to the nearest hundredth...
3 0
3 years ago
Use the standard normal table to find the​ z-score that corresponds to the cumulative area 0.4661. if the area is not in the​ ta
Delvig [45]
Answer: The corresponding z-score would be -0.085 for a cumulative area of 0.4661.

When you look on a normal distribution table, you will see that the value of 0.4661 falls between z-scores of -0.08 and -0.09. Therefore, we should find the middle of those 2 numbers to get the best possible approximation. That would be -0.085 for the z-score.
8 0
3 years ago
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