All categories

3 years ago

How do you create a restriction for √z + 8=13 ?

2 answers:

6 0

√z = 13 - 8
√z = 5
z = 5²
z = 25
In this case the z can be any number, however z cannot be less than 0 and that is the restriction. (for example; √-1 = irrational number, cannot be solved.)

igor_vitrenko [27]3 years ago

4 0

I found this on the internet I hope it helps

√z = 13 - 8
√z = 5
z = 5²
z = 25

its on the answer key xD

You might be interested in

Here we will study the function f (x) = e ^ x sin (x), where x ∈ [0, 2π]. a) Determine where the function is decreasing and incr

Semmy [17]

fff

$f(x) = e^x sin (x)$

To find increasing and decreasing intervals we take derivative

$f'(x) = e^xsin(x)+e^x(cosx)= e^x(sinx+cosx)$

Now we set the derivative =0 and solve for x

$e^x(sinx+cosx)=0$

sinx + cosx =0

divide whole equation by cos x

$\frac{sinx}{cosx} + \frac{cosx}{cosx} =0$

tanx +1 =0

tanx = 1

$x=\frac{3\pi }{4}$ and $x=\frac{7\pi}{4}$

Now we pick a number between 0 to $\frac{3\pi }{4}$

Lets pick $\frac{\pi }{2}$

Plug it into the derivative

$f'(x) =e^{\frac{\pi }{2}}(sin(\frac{\pi}{2})+cos(\frac{\pi }{2}))$

= 4.810 is positive

So the graph of f(x) is increasing on the interval [0, $x=\frac{3\pi }{4}$ )

Now we pick a number between $\frac{7\pi}{4}$ to 2pi

Lets pick $\frac{11\pi}{6}$

Plug it into the derivative

$f'(x) =e^{\frac{11\pi}{6}}(sin(\frac{11\pi}{6})+cos(\frac{11\pi }{6}))$

= 116 is positive

So the graph of f(x) is increasing on the interval $(\frac{7\pi }{4}, 2\pi)$

Increasing interval is $(0,\frac{3\pi }{4}) U (\frac{7\pi }{4}, 2\pi)$

Decreasing interval is $(\frac{3\pi}{4}, \frac{7\pi}{4})$

(b)

The graph of f(x) increases and reaches a local maximum at $x=\frac{3\pi}{4}$

The graph of f(x) decreases and reaches a local minimum at $x=\frac{7\pi}{4}$

(c)

f(0) = 0

$f(2\pi)=0$

$f(\frac{3\pi }{4})=7.46$

$f(\frac{7\pi}{4})=-172.64$

Here global maximum at $x=\frac{3\pi}{4}$

Here global minimum at $x=\frac{7\pi}{4}$

3 0

3 years ago

Read 2 more answers

Select the correct answer.

nignag [31]

Answer:

Step-by-step explanation:

just took the test

4 0

3 years ago

Assume that all conditions are met. The mean of the differences was 1. 33 and the standard deviation of those differences was 2.

Maurinko [17]

The test statistic for this procedure is using two sample T-test is 0.458.

Definition of Two Sample T-test

A variation of the Student's t-test used to determine if two sample means are substantially different is known as the two sample T-test (also known as Welch's t-test, Welch's adjusted T, or unequal variances t-test). The test's degrees of freedom have been changed, which generally boosts the test's power for samples with unequal variance.

T-Test Statistic for The Procedure

It is given that mean of the differences = 1.33

And, the standard deviation of the differences, standard error = 2.90

The test static formula is given as,

t = (estimate - hypothized value) / standard error

Here, t is the t- test statistic, and estimate is the mean of the differences.

Since it is given that all conditions are met, the hypothized value can be taken as 0

Substituting substituting estimate = 1.33 and standard error = 2.90 in the t-test statistic formula, we get,

t = (1.33-0)/2.90

or t = 0.458

learn more about t-test here:

brainly.com/question/14128303

#SPJ4

8 0

2 years ago

Anna works as a painter. She charges S130 for paint supplies and $25 for each hour, h, she

Misha Larkins [42]

Answer:

$25(h) + $130

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

WILL GIVE BRAINLIEST ANSWER THIS PLZ!

Nutka1998 [239]

The answer is b, tell me if you don't understand.

8 0

3 years ago

Read 2 more answers