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ANEK [815]
2 years ago
6

What is the equation of the midline for the function f(x) ? f(x)=3cos(x)−2.5

Mathematics
2 answers:
fredd [130]2 years ago
7 0
Y= -2.5
the midline is basically the line where the distance is the same to the line from the max and the min 
Softa [21]2 years ago
4 0

Answer:

the equation for the mid line is y = -2.5

Step-by-step explanation:

The given equation is

f(x)=3cos(x)-2.5

On comparing this equation with f(x)=Acos(Bx+C)+D

A = 3

B = 1

C = 0

D = -2.5

The mid line for the equation is

y = D

Substituting the value of D

y = -2.5

Thus, the equation for the mid line is y = -2.5

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4 0
3 years ago
What is the sum of ten terms of an infinite geometric series if the first term is 8 and the ratio is 1/2
xxTIMURxx [149]

Answer:

We use the formula:

S 10 = 8 · [(1/2)^9 - 1] / (1/2 - 1 );

Then, S 10 = 8 · ( 1/512 - 1 ) / ( 1/2 - 1 );

S 10 = 8 · ( - 511 / 512 ) / (-1 / 2 );

S 10 = ( - 511 / 64 ) · ( - 2 );

S 10 = + 511 / 32;

S 10 = 15.96;

Step-by-step explanation:


6 0
3 years ago
What happens to the value of the expression 70 - 3g as g increases
exis [7]

Answer:

It decreases

Step-by-step explanation:

Given the expression: 70-3g

  • When g=1, 70-3g=70-3(1)=70-3=67
  • When g=2, 70-3g=70-3(2)=70-6=64
  • When g=3, 70-3g=70-3(3)=70-9=61
  • When g=4, 70-3g=70-3(4)=70-12=58
  • When g=5, 70-3g=70-3(5)=70-3=55

From the above, notice that as g increases, the value of the expression decreases.

6 0
3 years ago
5.x.10=150 find x<br> 6.x.100=1000
Shkiper50 [21]

Answer:

I think X is 3. Sorry if it's wrong!

Step-by-step explanation:

5 x 3 = 15 x 10 = 150

3 0
2 years ago
Susan and John are buying cold drinks for a neighborhood picnic. Each person is
givi [52]

Answer:

Susan has suggested a correct method to calculate the amount of money

Step-by-step explanation:

Here we must check what each person is calculating. First, we consider Susan's method. She has suggested that we multiply the cost per soda, that is dollars/soda by the number of sodas required, we get the total cost.

Assuming that 18 sodas are required and each costs $0.20, the total cost according to Susan is $3.60.

John suggests we divide the cost of a 12 pack of soda by the number of sodas required. Considering a 12 pack of soda costs $12 and the same amount of sodas, 18, are required, we get that each soda costs $0.66.

Looking at these answers, we see that Susan has suggested a correct method to calculate the amount of money needed to buy a number of sodas. John has suggested the amount each person would have to contribute if everyone at the party was trying to buy a 12-pack of soda; regardless of whether more or less than a 12-pack is required.

4 0
2 years ago
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