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Stella [2.4K]
3 years ago
12

Find the start and end coordinates of y=2 sin x.

Mathematics
1 answer:
Fiesta28 [93]3 years ago
3 0

Answer:

Step-by-step explanation:

when x=0

y=2 sin 0=2×0=0

when x=π/2

y=2×sin (π/2)=2×1=2

when x=π

y=2 sin π=2×0=0

when x=3π/2

y=2 sin (3π/2)=2×-1=-2

when x=2π

y=2 sin (2π)=2×1=2

if ~0\leq x\leq 2\pi \\initial ~point~is ~(0,2)\\end~point~is ~(2\pi ,0)

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What is the growth factor associated with the following growth rate: 30% decrease
fenix001 [56]

Given:

Growth rate = 30% decrease

To find:

The growth factor associated with the given growth rate.

Solution:

The general exponential function is:

y=a(1+r)^x

y=a(b)^x

Where, a is the initial value, r is the growth rate in decimal and b=1+r is the growth factor.

It is given that the growth rate is 30% decrease. So,

r=-30\%

r=-\dfrac{30}{100}

r=-0.3

Now,

b=1+r

b=1+(-0.3)

b=1-0.3

b=0.7

Therefore, the growth factor is 0.7.

5 0
3 years ago
I know it’s a lot to ask but please show your work so I know how to do it. Thank you!
jonny [76]

Answer:

The answer to your question is below

Step-by-step explanation:

Use trigonometric functions to find x

13.  cos 40 = 5/x

     x = 5 / cos 40

     x = 5 / 0.766

     x = 6.5

14. tan 25 = x/9

     x = 9tan 25

     x = 9(0.466)

     x = 4.2

15.- cos 65 = x/12

      x = 12 cos 65

      x = 12 (0.423)

      x = 5.1

16.- sin 32 = 15/x

      x = 15 / sin 32

      x = 15 / 0.53

      x = 28.3

17.- tan 55 = 20 / x

      x = 20 / tan 55

      x = 20 / 1.42

      x = 14

18.- sin31 = x / 18

     x = 18 sin 31

     x = 18 (0.52)

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8 0
3 years ago
How many times does X squared minus 4X -12 cross the X axis
kolbaska11 [484]

We can solve this problem using discriminant.

x^2-4x-12's discriminant is

(-4)^2-4*-12=16+48 which is clearly larger than 0

This means that it crosses over the axes 2 times.

In case you don't know what discriminant is, its in equation ax^2+bx+c

the discriminant is b^2-4ac.

If its positive it has 2 crosses with x axis, if negative then 0 crosses, if 0 then 1 cross.

Hope this helped at least a little bit :D

4 0
3 years ago
Baker made 5 pounds of icing. He used 4/9 of the icing to decorate. How much did he have left over?
Elena L [17]
If the baker made 5 pounds of icing and used 4/9 of the icing to make decorations, then he used:

5 * 4/9 =
= 20/9 =
= 2 2/9 [of icing]

To find out how much he has left over, we just need to substract 2 2/9 from 5:

5 - 2 2/9 =
= 3 - 2/9 =
= 2 7/9

Answer: The baker has <u>2 7/9</u> of the icing left.
6 0
3 years ago
5 tons of rocks cost $8,200.00. What is the price per pound?<br><br>2000 ibs =1 ton
natima [27]
Since 2000 lbs = 1 ton then 5 tons = 10,000 lbs. Then tak $8,200 ÷ 10,000 lb= $.82 per pound
8 0
3 years ago
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