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STALIN [3.7K]
2 years ago
10

Write a cosine function that has a midline of 3, an amplitude of 4 and a period of pi.

Mathematics
1 answer:
sergejj [24]2 years ago
8 0

Answer:

f(x)=4\cos(2x)+3

Step-by-step explanation:

Using the general equation f(x)=a\cos(bx+c)+d, we already know that a=4 and d=3, but we need to find b from the period:

\frac{2\pi}{|b|}=\pi\\ 2\pi=b\pi\\2=b

Hence, the cosine function is f(x)=4\cos(2x)+3

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the equation 12 x + 5y=20 represents the total revenue during a one-day fundraiser in the equation x represents the number of Yo
alexandr1967 [171]
If you are solving for the question in the picture your answer would be 18. Whiich is letter A.
 
12x+15y=390         Original Equation
12(10)+15y=390      Replace x with 10
120 + 15y= 390       Mutiply 12 by 10
-120        = -120        subtract 120 on both sides to simplfy the equation
15y= 270                 New equation
÷15 = ÷15                 To get the variable alone divide 15 on both sides
y=18                         Your value for y.
3 0
4 years ago
Read 2 more answers
What is the measure of EG?
IrinaVladis [17]
The first thing you should know in this case is that a circumference has a total measure in 360 degrees.
 We have then that the formula to find EG in this case is:
 EG + GF + FE = 360
 We cleared EG:
 EG = 360-GF-FE
 We substitute the values:
 EG = 360-83-66
 EG = 211
 Answer
 EG = 211 degrees.
7 0
3 years ago
Jon and Erin are purchasing a new TV and stereo surround system for their living room. The cost of both items is $1675.00. They
noname [10]

Answer:

$167.50

$1507.50

$134

Step-by-step explanation:

Given that:

Cost of sound system = 1675

APR, = 12%

Down payment = 10%

Number of monthly payments = 12

r = 0.12 / 12 = 0.01

Amount of down-payment :

10% * cost of sound system

0.1 * 1675 = $167.50

Amount to be financed :

$1675 - $167.50

= $1507.50

Monthly repayment :

Using the relation :

A / {[(1+r)^n]-1}/[r(1+r)^n]

1507.5 / (1+0.01)^12-1)/(0.01(1+0.01)^12)

1507.50 / 0.1268/(0.01 * 1.1268)

1507.50 ÷ (0.1268/0.01126)

1507.50 ÷ 11.25

= $134

3 0
3 years ago
Help please I will really love that
Vsevolod [243]

If there's only 1 table, then you need 5 roses total (5*1 = 5)

If there are 2 tables, then you need 10 roses total (5*2 = 10)

If there are 3 tables, then you need 15 roses total (5*3 = 15)

If there are 4 tables, then you need 20 roses total (5*4 = 20)

At this point, you probably see the pattern: you multiply 5 by the number of tables to get the total number of roses. So it would look like this equation

(number of roses) = 5*(number of tables)

r = 5*x

where r is standing in for "number of roses" as shorthand; also, x is standing in for "number of tables".

------------------------------------------------------------------------

Final Answer: r = 5x (lower right corner choice)

Note that 5*x is the same as 5x (both of which mean "5 times x)

6 0
4 years ago
Tom and some friends went to a movie the show started at 2:30 PM and ended at 4:15 PM how long is the movie last
andrezito [222]

Answer:

1 hour and 45 mins

Step-by-step explanation:

As mentioned,

Starting time = 2:30 PM

Ending time = 4:15 PM

The given time is in hours and minutes, to calculate the duration of movie, time should be converted into a same unite minutes.

1 hour = 60 minutes

Therefore,

2:30 = 2 hours and 30 mins = 2*60 + 30 mins = 150 mins

4:15 = 4 hours and 15 mins = 4*60 + 15 mins = 255 mins

The duration = Ending time - Starting time

=> 255 - 150

=> 105 mins

or

60 + 45

1 hour and 45 mins

6 0
3 years ago
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