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arsen [322]
3 years ago
14

Evaluate: 16^1/2 x 2^-3

Mathematics
2 answers:
kykrilka [37]3 years ago
7 0

Answer:

64

Step-by-step explanation:

16^1

---------------------- = 64

2 x 2 - ^3

Apply exponent rule

16^1 = 16

= 16

------------------

2x2 - ^3

16 = 2x 8

2 x 8

-----------

2 x 2 - ^3

Cancel the common factor <2>

8

---------

2-^3

Factor the number 8 = 2^3

2^3

----------

2-^3

Apply exponent rule.

= 2^3 - (-3) = 6

3- (-3) = 6

= 2^6

2^6 = 64

64 is the answer

Feliz [49]3 years ago
6 0

Answer:

0.5

Step-by-step explanation:

{16}^{ \frac{1}{2} }  \times 2 {}^{ - 3}

\sqrt{16}  \times   \frac{1}{{2}^{3} }

4 \times  \frac{1}{2 \times 2 \times 2}

\frac{1}{ 2}

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What is Jamal weight in kilograms if he weighs 156 pounds? Round to the nearest 10th if necessary
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Answer:

70.7604097 in kilograms rounded would be 70.8 kilograms

Step-by-step explanation

3 0
3 years ago
What is the slope of the line passing through the points (1, −5)(1, −5) and (4, 1)(4, 1)?
galina1969 [7]
The answer to this is 2.
4 0
2 years ago
Please help and explain.
Agata [3.3K]

Piecewise functions have different definitions, depending on when you evaluate them.

Given an input x, your function returns:

  • 2x if the input is negative
  • 1 if the input lies between 0 (included) and 2 (excluded)
  • the square root of x if the input is greater than 2 (included)

You want to know what f(0) is. In other words, you want to know what happens if we give 0 as input.

The piecewise definition tells us that, if the input is 0, the function outputs 1.

So, you have f(0) = 1.

4 0
3 years ago
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
kenny6666 [7]

Given:

The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation

y=-29x^2+1388x-10040

To find:

The maximum amount of profit the company can make, to the nearest dollar.

Solution:

If a quadratic equation is f(x)=ax^2+bx+c, then the vertex is

Vertex=\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)

If a>0, then vertex is the minimum point and if a<0, then the vertex is the maximum point.

We have,

y=-29x^2+1388x-10040

Here, a=-29,b=1388, c=-10040. Clearly, a<0. So, the vertex is the point of maxima.

-\dfrac{b}{2a}=-\dfrac{1388}{2(-29)}

-\dfrac{b}{2a}=-\dfrac{1388}{-58}

-\dfrac{b}{2a}\approx 23.931

Putting x=23.931 in the given equation, we get

y=-29(23.931)^2+1388(23.931)-10040

y=-16608.09+33216.228-10040

y=6568.138

The vertex is at (23.931,6568.138).

Therefore, the maximum profit is $6568.138 when x=23.931.

5 0
3 years ago
What kinetic energy has a 4kg shootput thrown with a velocity of 12m/s
Tamiku [17]

Answer:

288J

Step-by-step explanation:

recall the formula for kinetic energy

KE = (1/2) mv²

where m is the mass (= 4kg)  and v is the velocity(=12 m/s)

hence

KE = (1/2) (4)(12)² = 288J

7 0
3 years ago
Read 2 more answers
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