Write (3y)^2 without exponents

Answers

Answer 1
Answer: There are two ways of doing this

3y x 3y
Or
9y
Answer 2
Answer: " ^ " indicates exponentiation.  " ^2 " indicates squaring, or multiplying the base by itself.  Thus, w^2 is the same as w times w.

What is (3y) times (3y)?

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5x5x5x5= ______ to the power of _____

Gibson (1986) asked a sample of college students to complete a self-esteem scale on which the midpoint of the scale was the score 108. He found that the average self-esteem score for the samples well above the actual midpoint of the scale. Given that the standard deviation of self esteem scores was 28.15, what would be the score for a sample participant whose ser esteem score was a. 101.67 b. -0.23 c. -0.87 d.0 e. -1.19 f. 0.97

Answers

Answer:

Option B) -0.23                                            

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 108

Standard Deviation, σ = 28.15

Formula:

z_(score) = \displaystyle(x-\mu)/(\sigma)

We are given x  = 101.67

We have to find the corresponding z-score.

Putting values, we get,

z_(score) = \displaystyle(101.67-108)/(28.15) = -0.2248 \approx -0.23

Thus, the correct answer is

Option B) -0.23

Is the point (-2, 5) a solution to the equation 2x + 5y = 0?

Answers

Answer:

No

Step-by-step explanation:

substitute -2 for 'x' and 5 for 'y'

2(-2) + 5(5) = 0?

-4 + 25 = 21, not 0

A : undefined
B: Zero
C: Positive
D:Negative

Answers

Answer:

Undefined

Step-by-step explanation:

There really is no explanation. All vertical lines have an undefined slope.

undefined! I hope this helps and good luck!

Find the complete time-domain solution y(t) for the rational algebraic output transform Y(s):_________

Answers

Answer:

y(t)= 11/3 e^(-t) - 5/2 e^(-2t) -1/6 e^(-4t)

Step-by-step explanation:

Y(s)=(s+3)/((s^2+3s+2)(s+4)) + (s+3)/(s^2+3s+2) +(1)/(s^2+3s+2)

We know that s^2+3s+2=(s+1)(s+2), so we have

Y(s)=(s+3+(s+3)(s+4)+s+4)/((s+1)(s+2)(s+4))

By using the method of partial fraction we have:

Y(s)=(11)/(3(s+1)) - (5)/(2(s+2)) -(1)/(6(s+4))

Now we have:

y(t)=L^(-1)[Y(s)](t)

Using linearity of inverse transform we get:

y(t)=L^(-1)[(11)/(3(s+1))](t) -L^(-1)[(5)/(2(s+2))](t) -L^(-1)[(1)/(6(s+4))](t)

Using the inverse transforms

L^(-1)[c(1)/(s-a)]=ce^(at)

we have:

y(t)=11/3 e^(-t) - 5/2 e^(-2t) -1/6 e^(-4t)

P(q ÷ 3 - p ); use p = -6, and q= -3

Answers

Answer:

Step-by-step explanation:

p(q ÷ 3 - p )

p = -6

q= -3

-6(-3/3 - (-6))

-6(-1 + 6)

-6(+5)

-30

Un recipiente cilíndrico tiene un diámetro de 160cm. y la misma altura. ¿Cuánto litros de agua puede caber?

Answers

Respuesta:

3215360 cm³

Explicación paso a paso:

Dado que :

Radio = 160/2 = 80 cm

Altura, h = 160 cm

Volumen de un cilindro = πr²h

Volumen del cilindro = π * 80² * 160

Volumen = 3215360 cm³