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MrRa [10]
3 years ago
15

What is the value of (-14^0)^-2?

Mathematics
1 answer:
posledela3 years ago
6 0

Answer:

The value of given expression is 1.

Step-by-step explanation:

The given expression is

(-14^0)^{-2}

If a is a real number, then a^0=1.

(-1)^{-2}                 [\because a^0=1]

Using exponent property we get,

(-1)^{-2}=\frac{1}{(-1)^2}                    [\because a^{-n}=\frac{1}{a^n}]

(-1)^{-2}=\frac{1}{1}

(-1)^{-2}=1

Therefore the value of given expression is 1.

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Determine the point (x,y) ( x , y ) on the unit circle associated with the following real number s. Write the exact answer as an
Harlamova29_29 [7]

The required coordinates of the unit circle for s = -11π/6 is (√3/2, 1/2). Using trigonometric functions, the required answer is calculated.

<h3>What are the trigonometric functions?</h3>

There are six trigonometric functions.

They are sin θ, cos θ, tan θ, sec θ, cosec θ, and cot θ.

Where θ - 0 to 360° or 0 to 2π

<h3>Calculation:</h3>

For a unit circle, the coordinates are given in the form of trigonometric functions as below:

x = cos θ and y = sin θ

Here it is given that s = θ = -11π/6

So, on substituting,

x = cos θ = cos (-11π/6)

⇒ x = √3/2

y = sin θ = sin (-11π/6)

⇒ y = 1/2

Thus, the required coordinate pair is (√3/2, 1/2).

Learn more about trigonometric functions here:

brainly.com/question/2291993

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7 0
1 year ago
PLEASE HELP!
hammer [34]

Answer:

  A = 16

Step-by-step explanation:

Taken together, the triangles form a square whose side length is 4. The area is ...

  A = s² = 4²

  A = 16

6 0
3 years ago
Read 2 more answers
Simplify (9^2/3*9^4/2)/9^1/2
JulsSmile [24]

Answer:

\frac{9^{5}}{3}

Step-by-step explanation:

\frac{9^{2}}{3} * \frac{9^{4}}{2} = \frac{9^{6}}{6}\\\\\frac{\frac{9^{6}}{6}}{\frac{9^{1}}{2}} \\\\\frac{2*9^{6}}{6*9^{1}}\\\\\frac{9^{5}}{3}

\frac{9^{5}}{3} = 19,683

6 0
3 years ago
The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain after 1000 years?
adell [148]

Answer: 129.33 g

Step-by-step explanation:

$$Let $p=A \cdot e^{n t}$ \\$(p=$ present amount, $A=$ initial amount, $n=$ decay rate, $t=$ time)

\begin{aligned}&\Rightarrow \text { Given } p=\frac{A}{2} \ a t  \ t=1590 \\&\Rightarrow \frac{1}{2}=e^{1590n} \Rightarrow n=\frac{\ln (1 / 2)}{1590}=-0.00043594162\end{aligned}

$$If $A=200 \mathrm{mg}$ and $t=1000$ then,$$\begin{aligned}P &=200 e^{\left(\frac{\ln \left(1/2\right)}{1590}\right) \cdot 1000} \text \\\\&=129.33 \text { grams}\end{aligned}$$

3 0
2 years ago
10. What is the solution to 5x2 - 7x + 3 = 0?
masya89 [10]

Answer:

Bodmas rules first -7 multiplay by 3 and get -21 the 5 multiply by 2 and get 10 ..then +10 minus 21 and get -11

3 0
3 years ago
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