Algebra 2 Unit 6 Test Edge

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Mario invested $6000 in an account that pays 5% annual interest compounded annually. Using the formula A=P(1+r)^t, what is the approximate value of the account after 2.5 years

$6,778.36.

Which expression is equivalent to -32^3/5?

-8

Which expression is equivalent to x^-5/3

1/ 3√5

Which represents a side length of a square that has an area of 450 square inches?

15√2 in

Which expression is equivalent to 144 3/2

1728

Which expression is equivalent to 4√144a^12b^3

2a^3 4√9xb^3

What is the simplest form of ^4√81x^8y^5?

3x^2y 4√y

Which of the following is equivalent to (5) 7/3

3√5^7

The orbital period, p, of a planet and the planet's distance from the sun, a, in astronomical units is related by the formula p = a superscript three-halves. if saturn's orbital period is 29.5 years, what is its distance from the sun? 9.5 au 19.7 au 44.3 au 160.2 au

9.5

The speed that a tsunami, or tidal wave, can travel is modeled by the equation v=356dv=356d​ where v is the speed in kilometers per hour and d is the average depth of the water in kilometers. A tsunami is found to be traveling at 145 kilometers per hour. What is the average depth of the water? Round to the nearest hundredth of a kilometer. A. 0.32 km B. 0.75 km C. 1.12 km D. 3.17 km

A. 0.32 km

What value of c makes the equation true? Assume x>0 and y>0 3√x^3/cy^4=x/4y(3√y) c = 12 c = 16 c = 81 c = 64

C = 64

Which of the following describes the graph of y=³√8x-64-5 compared to the parent cube root function? A) stretched by a factor of 2 and translated 64 units right and 5 units down B) stretched by a factor of 8 and translated 8 units right and 5 units down C) stretched by a factor of 2 and translated 8 units right and 5 units down D) stretched by a factor of 8 and translated 64 units right and 5 units down

C) stretched by a factor of 2 and translated 8 units right and 5 units down

The equation T^2=A^3 shows the relationship between a planet's orbital period, T, and the planet's mean distance from the sun, A, in astronomical units, AU. If planet Y is twice the mean distance from the sun as planet X, by what factor is the orbital period increased? A. 2^1/3. B. 2^1/2. C. 2^2/3. D. 2^3/2

D. 2^3/2

Which equation is equivalent to sqrt x^2 +81= x + 10 A. x+10= x+10 B. X+9 =x^2 + 20x + 100 C. x^2 +81 = x^2 + 100 D. x^2 + 81 = x^2 +20x + 100

D. x^2 + 81 = x^2 +20x + 100

Which of the following describes the graph of y=\sqrt(-4x-36) compared to the parent square root function?stretched by a factor of 2, reflected over the x-axis, and translated 9 units rightstretched by a factor of 2, reflected over the x-axis, and translated 9 units leftstretched by a factor of 2, reflected over the y-axis, and translated 9 units rightstretched by a factor of 2, reflected over the y-axis, and translated 9 units left

Stretched by a factor of 2, reflected over the y-axis, and translated 9 units left.

Which of the following is the graph of y=[x+3]?

The graph of y=|x+3| is a V-shaped graph with the vertex at (-3,0), where the graph changes direction. The absolute value symbol creates two line segments, one with a positive slope and one with a negative slope, which reflect at the y-axis for x < -3.

What is the solution of square root x+2-15=-3

X=142

What is the solution of sqrt x+12=x

X=4

Which expression is equivalent to (64y^100)1/2 a.8y10 b.8y50 c.32y10 d.32y50

b.8y50

Which expression is equivalent to (64y^100)1/2 a.8y10 b.8y50 c.32y10 d.32y50

b.8y50

If the range of f(x)= square root mx and the range of g(x)=m square root x are the same, which statement is true about the value of m?

can be any positive real number.

Which function has the same range as f(x)=-2√x-3+8?

g(x) = - √x + 3 +8 has the same range.

Which function is undefined for x = 0? y=3√x-2 y=√x-2 y=3√x+2 y=√x=2

y=√x-2


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