Is 7/9 squared Rational or irrational?

Zack wants to purchase vinyl to go on his bathroom floor. The vinyl is sold by the foot in length. If the area of his bathroom i

dimulka [17.4K]

Answer:

x = 10 feet

Step-by-step explanation:

Given that,

The area of his bathroom is 100 square feet.

We need to find the one side of the square bathroom.

Let the side be x. The area of a square is given by :

$A=x^2\\\\100=x^2\\\\x=10\ \text{feet}$

So, the side of the square bathroom is 10 feet.

8 0

3 years ago

Element X decays radioactively with a half life of 8 minutes. If there are 480 grams of

Vaselesa [24]

Answer:

40.8 minutes

Step-by-step explanation:

Element X decays radioactively with a half life of 8 minutes. If there are 480 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 14 grams?

The formula to find how long it would take which is the time elapsed is given as:

t = t½ × In(Nt/No)/-In2

t = ?

t½ = 8 minutes

Nt = Amount after the time of decay = 14 grams

No = Original Amount of substances = 480 grams

t = 8 × In(14/480)/-In2

t = 40.796285388407 minutes

Approximately to the nearest tenth = 40.8 minutes

Therefore, it would take the element X, 40.8 minutes to decay to 14 grams

6 0

3 years ago

Which statements describes a many-to-one function?

Zolol [24]

A many to one function would have to be a non linear function because for anything to share something else it could not go in a straight line. since it is a function we know that it passes the vertical line test but for it to not be linear, means it would not pass the horizontal line test. since it is not a linear function it would have to be non linear. and since it is a function and passes vertical line test each x value can only have 1 y value

6 0

4 years ago

Read 2 more answers

Which transformations are needed to change the parent cosine function to y = 0.35 cosine (8 (x minus startfraction pi over 4 end

Nataliya [291]

The transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:

vertical stretch of 0.35
horizontal compression of period of $\dfrac{\pi}{4}$
phase shift of $\dfrac{\pi}{4}$ to right

<h3>How does transformation of a function happens?</h3>

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

If the original function is $y=f(x)$ A, assuming horizontal axis is input axis and vertical is for outputs, then:

Horizontal shift (also called phase shift): $y=f(x+c)$

Left shift by c units: earlier)
Right shift by c units: $y=f(x-c)$ output, but c units late)

Vertical shift:

Up by d units: $y=f(x)+d$
Down by d units: $y=f(x)-d$

Stretching:

Vertical stretch by a factor k: $y=k\times f(x)$
Horizontal stretch by a factor k: $y=f(\dfrac{x}{k})}$

For this case, we're specified that:

y = cos(x) (the parent cosine function) was transformed to

$y=0.35cos(8(x-\pi/4)$

We can see its vertical stretch by 0.35, right shift by horizontal stretch by 1/8

Period of cos(x) is of length. But 1.8 stretching makes its period shrink to

$\dfrac{2\pi}{8}=\dfrac{\pi}{4}$

Thus, the transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:

vertical stretch of 0.35

horizontal compression to period of (which means period of cosine is shrunk to which originally was )

phase shift of to right

Learn more about transformation of functions here:

brainly.com/question/17006186

7 0

3 years ago

Two fifths of the instruments in the marching band are brass, one third are percussion and the rest are woordwinds. Two Fifths o

ad-work [718]

As we are dealing only with the tubas which are part of the brass section we can ignore the percussion and woodwind for this question.

2/5 of 240 = 2/5 x 240 = 96 brass instruments

2/5 of 96 = 2/5 x 96 = 38.4 tuba players

I suspect that the question may be wrong!

4 0

3 years ago