All categories

3 years ago

Evaluate the expression (- n) ^ (n + n) + n ^ (n - n) , when n = 2

Mathematics

1 answer:

sladkih [1.3K]3 years ago

5 0

Answer:

Step-by-step explanation:

Substitute the value of the variable and simplify.

$(-(2))^{(2+2)} +2^{(2-2)}$

$-2x^{2+2} =2^{4} = 16$

$2^{2-2} =2^{0}$

Anything raised to the power of 0 is one.

16 + 1 = 17

You might be interested in

Which statement is true about the function f(x)=-√-x

Harrizon [31]

Answer: D.The domain and range of the function are the same.

Step-by-step explanation: Given function f(x)=-√-x.

The given function is a square root function and we have minus sign in front of x inside square root.

A square root always defined for positive values or 0.

In order to get a positive number or 0 inside square root, let us solve the inequality:

$-x\geq 0$

On dividing both sides by -1, the inequality sign would get flip and we get

<h3>Domain: $x \leq 0.$ </h3>

We can see that we have a negative sign in front of square root. So, the value of f(x) would be always a negative number or 0.

<h3>Therefore, range would also be : $x \leq 0.$ .</h3><h3>Therefore, correct option is D option.</h3>

5 0

3 years ago

Answers...............

umka21 [38]

Answer: Two acute angles

7 0

3 years ago

The top three prices for works of art sold at auction in 2013 totaled $306.7 million. These three works of art were a sculpture,

lora16 [44]

Answer:

photograph = 55.7mil

painting = 106.2

sculpture = 144.8

Step-by-step explanation:

let the price of the photograph be x

price of painting = x+50.5

price of sculpture = x+x+50.5-17.1 =2x+33.4

2x+33.4+x+50.5+x=306.7

4x=222.8

x=55.7

price of painting = 55.7+50.5 = 106.2

price of sculpture = 2(55.7)+33.4=144.8

5 0

2 years ago

Read 2 more answers

A sample of n = 4 scores is obtained from a population with a mean of 70 and a standard deviation of 8. If the sample mean corre

jeka57 [31]

Answer:

The value of the sample mean is 78.

Step-by-step explanation:

We are given that a sample of n = 4 scores is obtained from a population with a mean of 70 and a standard deviation of 8.

Also, the sample mean corresponds to a z score of 2.00.

<em>Let </em> $\bar X$ <em> = sample mean</em>

The z-score probability distribution for a sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean = 70

$\sigma$ = standard deviation = 8

n = sample size = 4

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

<u>Now, we are given that the sample mean corresponds to a z score of 2.00 for which we have to find the value of sample mean;</u>

So, <em><u>z-score</u></em> formula is given by ;

z-score = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ = $\frac{\bar X-70}{\frac{8}{\sqrt{4} } }$