All categories

3 years ago

Which choices are equivalent to the exponential expression below? Check all that apply. (4/5)^3

Mathematics

1 answer:

VladimirAG [237]3 years ago

3 0

Answer:

A, C, D

Step-by-step explanation:

Remember: Exponents are simply repeated multiplication.

The exponent determines how many times to multiply the base number by itself.

$(\frac{4}{5} )^3=\frac{4}{5} *\frac{4}{5} *\frac{4}{5} =\frac{64}{25}$

Option 'A' and 'C' apply.

Option D applies because:

$\frac{4^3}{5^3} =\frac{64}{125}$

You might be interested in

Select the function that represents a parabola with zeros at x = –2 and x = 4, and y-intercept (0,–16). A ƒ(x) = x2 + 2x – 8 B ƒ

Ahat [919]

Answer:

D. $f(x) = 2\cdot x^{2}-4\cdot x -16$

Step-by-step explanation:

Any parabola is modelled by a second-order polynomial, whose standard form is:

$y = a\cdot x^{2}+b\cdot x + c$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$a$ , $b$ , $c$ - Coefficients, dimensionless.

In addition, a system of three linear equations is constructed by using all known inputs:

(-2, 0)

$4\cdot a -2\cdot b + c = 0$ (Eq. 1)

(4, 0)

$16\cdot a + 4\cdot b +c = 0$ (Eq. 2)

(0,-16)

$c = -16$ (Eq. 3)

Then,

$4\cdot a - 2\cdot b = 16$ (Eq. 4)

$16\cdot a + 4\cdot b = 16$ (Eq. 5)

(Eq. 3 in Eqs. 1 - 2)

$a - 0.5\cdot b = 4$ By Eq. 4 (Eq. 4b)

$a = 4 + 0.5\cdot b$

Then,

$16\cdot (4+0.5\cdot b) + 4\cdot b = 16$ (Eq. 4b in Eq. 5)

$64 + 12\cdot b = 16$

$12\cdot b = -48$

$b = -4$

The remaining coeffcient is:

$a = 4 + 0.5\cdot b$

$a = 4 + 0.5\cdot (-4)$

$a = 2$

The function that represents a parabola with zeroes at x = -2 and x = 4 and y-intercept (0,16) is $f(x) = 2\cdot x^{2}-4\cdot x -16$ . Thus, the right answer is D.

6 0

3 years ago

{ .. , -3 , -2 , -1 , 0 , 1 , 2 } finite or infinite

Otrada [13]

The left side should be infinite, based on the ..., which represents that the list goes on. The right side, however, should be finite, because that’s where the pattern stops.

3 0

3 years ago

Read 2 more answers

1x-4=2x<br>anwser <br>need the written equation

Debora [2.8K]

1x - 4 = 2x
(minus the 1x from the left to cancel it out and minus it to other side making the 2x a 1x or just x)⤵️

-4 = x

and that is the answer

4 0

4 years ago

How many faces does the following shape have?

Allisa [31]

The shape has 4 faces . i hope this helps

7 0

3 years ago

Read 2 more answers

First-person to get this right with an explanation gets Brainliest

Natasha2012 [34]

Answer:

17b

Step-by-step explanation:

Total volume of water = amount of water in each bottle x total number of bottles. The equation that relates the number of bottle of water (b) to the total volume of the water (w) in fluid ounces is w = 17b

3 0

3 years ago

Read 2 more answers

Which choices are equivalent to the exponential expression below? Check all that apply. (4/5)^3​

Which choices are equivalent to the exponential expression below? Check all that apply. (4/5)^3