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2 years ago

An expression is shown below. (x^3/4)(x^2/3)

1 answer:

3 0

For all exponents, (a^n a^m) = a^(n+m)
apply same rules (X^3X^2)/(4*3)
Combine powers. (X^3X^2)/4*3 = X^(3+2)/4*3
X^5/12

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How long is the arc intersected by a central angle of startfraction pi over 2 endfraction radians in a circle with a radius of 4

Nimfa-mama [501]

7.1 cm long is the arc intersected by a central angle .

What is length of an arc?

The arc length of a circle can be calculated with the radius and central angle using the arc length formula.
Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ is in degree.

Given,

Central angle = π / 2

radius = 4.5 cm

we apply formula of length of arc.

length of the arc = angle × radius

= (π/2) × (4.5 cm)

Now put value of π = 3.14

length of the arc = (3.14 / 2) × (4.5) cm

= 7.065 cm ≈ 7.1 cm

Therefore, 7.1 cm long is the arc intersected by a central angle .

Learn more about length of an arc

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7 0

1 year ago

School A and B are competing in an academic contest. at the beginning of the final round, school A has 174 points and school B h

7nadin3 [17]

X = number of correct answers

Y = number of incorrect answers

School A has 174 points and school B has 102 points.

A = 174

B = 102

School A has the same number of correct and incorrect answers during the final round.

A = 174 + 10X - 6Y

School B gives no incorrect answers and the same number of correct answers as school A.

B = 102 + 10X

The contest ends with the two schools tied.

Score = 174 + 10X - 6Y = 102 + 10X

174 + 10X - 6Y = 102 + 10X

5 0

3 years ago

If (-1, y) lies on the graph of y=2^2x then y=

zubka84 [21]

Answer:

y is 1/4 when x is -1 if I did interpret your equation right. Please see that I did.

I believe the equation to be $y=2^{2x}$ . If you meant $y=2^2x$ , please let me know.

Thanks kindly.

Step-by-step explanation:

If (-1,y) lies on the graph of $y=2^{2x}$ , then by substitution we have:

$y=2^{2\cdot -1}$ .

We just need to simplify to determine y:

$y=2^{2 \cdot -1}$

Multiply the 2 and -1:

$y=2^{-2}$

Use reciprocal rule for exponents to get rid of the negative:

$y=\frac{1}{2^2}$

$2^2$ just means $2(2)$ :

$y=\frac{1}{2(2)}$

$y=\frac{1}{4}$ .

8 0

2 years ago

Let a triangle have sides of 137 in, 127 in,

Margarita [4]

Answer:

I think first add the side 137+ 127 +118=382 / 382cm

8 0

2 years ago

What is 6.84 in word form

alexandr402 [8]

Six point eight four.

(Note, you don't say, "Six point eighty-four" As it doesn't sound correct.

Cheers.

5 0

3 years ago

Read 2 more answers