For a short time after a wave is created by wind, the height of the wave can be modeled using y - a sin 2piT/t, where a is the amplitude and T is the period of the wave in seconds.

13. Write an equation for the given function given the period, phase shift, and vertical shift. cotangent function, period =pi phase shift = -1/3 pi, vertical shift = 2

Answer:

Make use of the fact that [tex](a + b)^{2} = a^{2} + 2\, a\, b + b^{2}[/tex].

Step-by-step explanation:

Start from the given: [tex]z^{1/2} = x^{1/2} + y^{1/2}[/tex].

In other words: [tex]\sqrt{z} = \sqrt{x} + \sqrt{y}[/tex].

Square both sides of the equation:

[tex](\sqrt{z})^{2} = (\sqrt{x} + \sqrt{y})^{2}[/tex].

Equality would still hold because:

[tex]\begin{aligned}& a = b \\ \implies \; & a\cdot a = a\cdot b \\ \implies \; & a \cdot a = b \cdot b \\ \implies \; & a^{2} = b^{2}\end{aligned}[/tex].

Simplify:

[tex]z = (\sqrt{x})^{2} + 2\, (\sqrt{x}) \cdot (\sqrt{y}) + (\sqrt{y})^{2}[/tex].

[tex]z = x + 2\sqrt{x y} + y[/tex].

Subtract [tex]z[/tex] from both sides of this equation:

[tex]0 = x + 2 \sqrt{x y} + y - z[/tex].

Subtract [tex]2 \sqrt{x y}[/tex] from both sides of this equation:

[tex]-2 \sqrt{x y} = x + y - z[/tex].

Again, square both sides of this equation:

[tex](-2 \sqrt{x y})^{2} = (x + y - z)^{2}[/tex].

[tex](-2)^{2}\, (\sqrt{x y})^{2} = (x + y - z)^{2}[/tex].

[tex](x + y - z)^{2} = 4\, x \, y[/tex] (by the symmetric property of equalities.)

Answer:

1 and 27, 12 and 33, 6 and 24, 36 and 81, 12 and 96.

Step-by-step explanation:

GCF of 36 and 81: 9

GCF of 1 and 27: 1

GCF of 12 and 33: 3

GCF of 12 and 96: 12

GCF of 6 and 24: 6

what?.... .... .... ....

If ; | 2x+4|=12 —> x = 4 , x = – 8 —> The choose C.

If ; | 2x | +4=12 —> x =4 , x = – 4 —> The choose D.

I hope I helped you^_^

Answer:

5.83 cm

Step-by-step explanation:

D = √(5²+3²) =√(25+9)= √34 = 5.83 cm

Please mark Brainliest.

y=-(-2)^2+5

y=-2^2+5

2^2 means 2 squared.

-(-2)^2=-4

y=-4+5

y=1

I hope this helps!

Step explanation:

To solve this, you have to plug in the value of x (-2) and solve:)

My advice:

Have a marvellous day!

Answer:

47...

Step-by-step explanation:

the product of 4 and 8 is 32 and added 15 then it is 47.

Answer:

47

Step-by-step explanation:

4*8+15=32+15=47 (by BODMAS rule)

Answer: x ≤ − 3/2

how i got the answer : I used something but it wont let me say ;-; hope it helps!

Answer: ((T/(2pi))^2)g

Step-by-step explanation: just solve for L

Step-by-step explanation:

hopefully this makes sense

:)

Answer:

1

Step-by-step explanation:

Answer:

x = y/5 + 6/5

Answer:

Step-by-step explanation:

3(n+4)=2n-8

3n+12=2n-8

5n= -20

n= -4

Answer:

A KIM is the answerrrrrr

here,

U = {a, b, c, d, e, f, g, h}, A= {a, b, c, d, e) and B= {c, d, e, f, g),

now,

A-B = {a,b}

A n B = { c,d,e}

Answer:

The average rate of change of g from x = a to x = a + h is -3.

Step-by-step explanation:

We are given the function:

[tex]g(x) = -3x + 4[/tex]

And we want to determine its average rate of change of the function for x = a and x = a + h.

To determine the average rate of change, we find the slope of the function between the two points. In other words:

[tex]\displaystyle \text{Avg} = \frac{g(a + h) - g(a) }{(a + h ) - a}[/tex]

Simplify:

[tex]\displaystyle \begin{aligned} \text{Avg} &= \frac{g(a + h) - g(a) }{(a + h ) - a} \\ \\ &=\frac{(-3(a+h) + 4) - (-3a+4)}{h} \\ \\ &= \frac{(-3a -3h + 4) + (3a - 4) }{h} \\ \\ &= \frac{-3h}{h} \\ \\ &= -3\end{aligned}[/tex]

In conclusion, the average rate of change of g from x = a to x = a + h is -3.

This is the expected result, as function g is linear, so its rate of change would be constant.

Answer:

a = 11

b = 25

c = 10

d = 15

I thought

Answer:

POINT B LIES ON FOUR FACES OF THE PYRAMID

Step-by-step explanation:

A PYRAMID HAS FIVE FACES IN THAT FOUR ARE TRIANGLE ONE IS SQUARE AS POINT B LIES AT THE TOP OF FOUR TRIANGLES WE CONSIDER AS IT LIES ON FOUR FACES OF A PYRAMID

I'VE TRYED MY LEVEL TO HELP YOU ONLOCK A STAR AND ADD ME AS BRAINLIEST

Answer:

[tex]4g^{2}h-12gh^{2}-9gh[/tex]

Copy and paste version:

4g^2h-12gh^2-9gh

Step-by-step explanation:

[tex](4g^{2}h-gh-9gh^{2})+(8gh-3gh^{2})=\\4g^{2}h-gh-9gh^{2}+8gh-3gh^{2}=\\4g^{2}h-9gh-12gh^{2}=\\4g^{2}h-12gh^{2}-9gh[/tex]

Answer:

4g^2h-12gh^2-9gh

Step-by-step explanation:

Answer:

4 : 25pm

Step-by-step explanation:

If the movie ended at 7:05p.m, and the movie is as long as 2 hours 40 minutes, therefore the starting time is 2 hours 40 minutes earlier than the ending time

Therefore

7:05 - 2 hours and 40 minutes

= 4 : 25pm

Answer:

PEMDAS:

ZERO 0

Left to right "p" parenthesis, "e" exponents,

"md" multiplication OR division , "as" addition or subtraction

Step-by-step explanation:

[2+(12×3÷9)-6]÷4

[2+(36÷9)-6]÷4

[2+(4)-6]÷4

[6-6]÷4

[0]÷4

0

Answer:

Ans: 0

Step-by-step explanation:

[2+(12×3÷9)-6]÷4

= [2+(36÷9)-6]÷4

= [2+4-6]÷4

= [6-6]÷4

= 0÷4

= 0

Answer:

48

Step-by-step explanation:

u • w

= (i + 6j ) • (9i - 2j )

= (1 × 9 ) + (6 × - 2 )

= 9 + (- 12)

= 9 - 12

= - 3

v • w

= (5i - 3j ) • (9i - 2j )

= (5 × 9) + (- 3 × - 2)

= 45 + 6

= 51

Then

u • w + v • w

= - 3 + 51

= 48

Answer:

500

Step-by-step explanation:

Greatest possible number with digits 5,1,3 is 531.

round to hundred =500

Answer:

-7

Step-by-step explanation:

just plug in neg 4 to the equation

Answer:

5(x+3)=50

Step-by-step explanation:

Let it be x

He spent x/2 dollars then

[tex]\\ \sf\longmapsto \dfrac{x}{2}+8=13[/tex]

[tex]\\ \sf\longmapsto \dfrac{x+16}{2}=13[/tex]

[tex]\\ \sf\longmapsto x+16=13(2)=26[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{26}{16}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{13}{8}[/tex]

[tex]\\ \sf\longmapsto x=1.6\$[/tex]

[tex]\\ \sf\longmapsto Weekly allowance=13+7(1.6)[/tex]

[tex]\\ \sf\longmapsto 13+112=125[/tex]

Answer:

[tex]474 - ( - 798) \\ \\ = 1272[/tex]

Answer:

1272

Step-by-step explanation:

474+798

you change the minus to addition and the negative to a positive