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Norma-Jean [14]
2 years ago
12

A certain book had an original rating of 27 out of 30 points on a survey chart. Each month, the rating fell by 3 points. Express

the number of points as a function of m, the number of months since the release.
(A) f(m)=3m (B) f(m)=3m−27 (C) f(m)=30−3m (D) f(m)=27−3m (E) f(m)=3−27m
Mathematics
1 answer:
Natali [406]2 years ago
7 0

Answer:

D.) f(m)=27−3m

Step-by-step explanation:

Given that:

Original rating = 27

Total possible rating points = 30

Drop in rating point per month = 3

m = number of months since release :

Hence,

F(m) = original rating - drop in rating per month * number of months since release

F(m) = 27 - 3(m)

F(m) = 27 - 3m

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Study the coordinate plane below. A certain polygon has its vertices at the following points: (1, 1), (1, 8), (4, 7), and (4, 3)
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pentegon

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3. There are 45 males and 60 females in a subway car. What is the ratio of males to females? Write your answer as a fraction in
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Answer:

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Step-by-step explanation:

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3 years ago
Read 2 more answers
Hi :) anyone able to teach this? I don’t understand the question , thanks in advance!
puteri [66]

a) 62.855m

We will need to use the Pythagorean Theorem here, as we know a and c, but not b. I have attached an image of a triangle sketch to set up the problem, which should hopefully help us to visualize this problem a bit better.

Pythagorean Theorem: a^2 + b^2 = c^2

(19.8)^2 + b^2 = (65.9)^2

392.04 + b^2 = 4342.81

b^2 = 3950.77

b = 62.855 (rounded to 3 places)

b) m = 0.315

The gradient is also known as the slope. I've shown what the points would be in the image attached. Now that we know the value of b (x in the points in image), we can use points E and C to find the slope.

Point 1: (0,0)

Point 2: (62.855, 19.8)

m = (19.8 - 0) / (62.855 - 0)

m = 19.8 / 62.855

m = 0.315 (rounded to three places)

c) 17.485 degrees

The angle of inclination would be angle C. To find angle C, we will need to use an inverse trigonometry function. Any can be used since we know all of the side lengths, but I will show Sine here, opposite / hypotenuse.

sin(x) = 19.8 / 65.9

x = sin^-1 (19.8/65.9)

x = 17.485 degrees (rounded to 3 places)

Hope this helps!! :)

7 0
3 years ago
This problem uses the Richter scale for the strength of an earthquake. The strength, W , of the seismic waves of an earthquake a
olga55 [171]
By using formula given above, M= log(w/w_0), we can find 
10^M= w/w_0, it means 10^M.w_0,= w
but M=6.5, so 10^6.5=3162277,66

the seismic waves of the Caracas earthquake were 3162277,66 times more powerful of the standard seismic waves
8 0
3 years ago
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