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3 years ago

Which expression is equal to 6^4? 10 24 4^6 6⋅6⋅6⋅6

Mathematics

1 answer:

Naddika [18.5K]3 years ago

4 0

Answer:

6⋅6⋅6⋅6

Explanation: The exponent refers to the number of times a number is multiplied by itself. 6^4 represents that 6 is being multiplied 4 times.

$6^{4}$

Base ⇒ 6

Exponent ⇒ 4

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The acceleration y, in meters per second squared, of an object after x seconds is given by y = 7 sin (pi/4 x). During the first

Nataly_w [17]

Answer: (0, 2) and (6, 10)

Step-by-step explanation:

The acceleration is:

y = 7*sin( x*pi/4).

Over which interval is the acceleration increasing?

First, let's study the sin function:

Sin(θ) increases between -pi/2 and pi/2

Sin(θ) decreases between pi/2 and (3/2)*pi.

And so on.

Here we have:

θ = x*(pi/2)

When x = 0, θ = 0.

And sin(θ) is increasing in θ = 0.

Then we must choose one of the options that start with x = 0.

now it will stop increasing when:

θ = pi/2 = x*(pi/4)

x = 2.

So the acceleration is increasing in the segment (0,2)

And it will start increase again when:

θ = (3/2)*pi = x*(pi/4)

(3/2)*pi*(4/pi) = 6 = x.

So at x= 6 the acceleration starts increasing again, and the acceleration is only deffined until x = 10, then

the correct option is: (0, 2) and (6, 10)

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3 years ago

Solve for x. Round to the nearest hundredth

PIT_PIT [208]

Given that the length of one leg is 6 and the angle is 40°

The hypotenuse is x.

We need to determine the value of x.

<u>Value of x:</u>

The value of x can be determined using the trigonometric ratio.

Thus, we have;

$cos \ \theta=\frac{adj}{hyp}$

Substituting the values, we get;

$cos \ 45^{\circ}=\frac{6}{x}$

Simplifying, we have;

$x=\frac{6}{cos \ 45^{\circ}}$

$x=\frac{6}{0.766}$

Dividing, we get;

$x\approx7.83$

Therefore, the value of x is 7.83(app.)

Hence, Option A is the correct answer.

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4 years ago

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Dahasolnce [82]

Answer:

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3 years ago

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Aleksandr-060686 [28]

A.)y=1.25x+12.5

B.)ridecost+admission=total

if x=number of tickets and y is total and cost per ride is 1.25,

1.25x+admission=y

when we solve

when x=25, y=43.75

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-Austint1414

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3 years ago

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Find the value of x.

Cerrena [4.2K]

$x^2 + (x + 3)^2 = (\sqrt{117})^2$

$x^2 + x^2 + 6x + 9 = 117$

$2x^2 + 6x -108 = 0$

$x^2 + 3x - 54 = 0$

$(x + 9)(x - 6) = 0$

$x + 9 = 0 ~~or~~ x - 6 = 0$

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Since the side of a triangle cannot have a negative length, we discard the solution x = -9.

Answer: x = 6

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