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3 years ago

PLEASE HELP Evaluate 2^-4

Mathematics

2 answers:

Advocard [28]3 years ago

8 0

Negative exponent means we have to invert the fraction.

So:

$2^{-4}$

$\frac{1}{2^4}$

$\frac{1}{2.2.2.2}$

$\frac{1}{16}$

Alternative: C.

Setler [38]3 years ago

7 0

Answer: option c is correct. 1/16

Step-by-step explanation:

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Evaluate if c = 2 and d = –3.

klio [65]

Answer:

B : -2

Step-by-step explanation:

$3(2) \div ( - 3) \\ 6 \div ( - 3) \\ - 2$

3 0

3 years ago

Read 2 more answers

A new car is available with standard or automatic transmission, two or four doors, and it is available in 10 exterior colors. Wh

dezoksy [38]

Answer:

Step-by-step explanation:

Given that:

Number of options available for transmission = 2 (Standard or Automatic)

Number of options for doors = 2 (2 doors or 4 doors)

Number of exterior colors available = 10

To find:

Total number of outcomes = ?

Solution:

First of all, let us calculate the number of outcomes for the transmission mode and number of doors options.

1. Standard - 2 doors

2. Standard - 4 doors

3. Automatic - 2 doors

4. Automatic - 4 doors

Number of outcomes possible = 4 (which is equal to number of transmission mode available multiplied by number of doors options i.e. 2 $\times 2$ )

Now, these 4 will be mapped with 10 different exterior colors.

Therefore total number of outcomes possible :

Number of transmission modes $\times$ Number of doors options $\times$ Number of exterior colors

2 $\times$ 2 $\times$ 10 = <em>40</em>

3 0

3 years ago

All three please 10 points

GaryK [48]

Answer:

A) x = 3 or -1

B) x = -7

C)x = -7

Step-by-step explanation:

A) x² + 2x + 1 = 2x² - 2

Rearranging, we have;

2x² - x² - 2x - 2 - 1 = 0

x² - 2x - 3 = 0

Using quadratic formula, we have;

x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)

x = (2 ± √16)/2

x = (2 + 4)/2 or (2 - 4)/2

x = 6/2 or -2/2

x = 3 or -1

B) ((x + 2)/3) - 2/15 = (x - 2)/5

Multiply through by 15 to get;

5(x + 2) - 2 = 3(x - 2)

5x + 10 - 2 = 3x - 6

5x - 3x = -6 - 10 + 2

2x = -14

x = -14/2

x = -7

C) log(2x + 3) = 2log x

From log derivations, 2 log x is same as log x²

Thus;

log(2x + 3) = logx²

Log will cancel out to give;

2x + 3 = x²

x² - 2x - 3 = 0

Using quadratic formula, we have;

x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)

x = (2 ± √16)/2

x = (2 + 4)/2 or (2 - 4)/2

x = 6/2 or -2/2

x = 3 or -1

5 0

3 years ago

Which number is irrational?? Help..!

kakasveta [241]

B is the irrational. C & D are rational as they can be written in a ratio, aka a simple fraction. A is rational as it simplifies to +/-2, a whole number.

5 0

3 years ago

Which, if any, of A. (4, π/6), B. (−4, 7π/6), C. (4, 13π/6), are polar coordinates for the point given in Cartesian coordinates

alisha [4.7K]

Answer:

The polar coordinates of $}\left(2,\:2\sqrt{3}\right)$ are $\left(4,\:\frac{\pi }{3}\right)$ .

Step-by-step explanation:

To convert Cartesian coordinates $\:\left(x,\:y\right)$ to Polar coordinates $\:\left(r,\:\theta \right)$ apply:

$r=\sqrt{x^2+y^2}\quad \theta =\arctan \left(\frac{y}{x}\right)$

$x=2\\\\y=2\sqrt{3}$

$r=\sqrt{x^2+y^2}\\r=\sqrt{2^2+\left(2\sqrt{3}\right)^2}\\r=4$

$\theta =\arctan \left(\frac{y}{x}\right)\\\theta=\arctan \left(\frac{2\sqrt{3}}{2}\right)\\\theta=\frac{\pi }{3}$

The polar coordinates of $}\left(2,\:2\sqrt{3}\right)$ are $\left(4,\:\frac{\pi }{3}\right)$ .

7 0

3 years ago