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3 years ago

Select the equivalent expression. (2^-4 x z^-3)^5 = Choose 1 answer:

Mathematics

2 answers:

Hitman42 [59]3 years ago

7 0

Answer:

Step-by-step explanation:

$(2^{-4}z^{-3})^{5}$

several ways to approach this.

use power rule. $(a^{m} )^{n} = a^{mn}$

$(2^{(-4*5)}z^{(-3*5)} )$

$(2^{-20} z^{-15} )$

RULE: $x^{-1} = \frac{1}{x}$

$\frac{1}{(2^{20}z^{15}) }$

cricket20 [7]3 years ago

6 0

Answer:

Step-by-step explanation:

(2^-4 x z^-3)^5

2^-20 * z^-15

1/2^20 * z^15

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Which graph represents the following piecewise defined function?

kenny6666 [7]

The correct answer is shown in attached figure
To find the correct graph, we should study the continuity of the function

Check the continuity at x = -2
from the left ⇒⇒ f(-2) = 1/2 * -2 + 3 = 2
from the right ⇒⇒ f(-2) = 2
∴ The function is continuous at x = -2

Check the continuity at x = 3
from the left ⇒⇒ f(3) = 2
from the right ⇒⇒ f(3) = 2*3 - 3 = 3
∴ The function is jump discontinuous at x = 3

From the previous results the correct graph is the last as shown in attached graph.

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3 years ago

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BC¯¯¯¯¯ is parallel to DE¯¯¯¯¯. What is CE? Enter your answer in the box.

Andrej [43]

Answer:

Step-by-step explanation:

i just took the test and got it right.

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3 years ago

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A new anxiety medication has been manufactured and a study is being conducted to determine whether its effectiveness depends on

Irina18 [472]

The test statistics is used to determine if the anxiety medication can happen under a null hypothesis

The test statistics that is an appropriate hypothesis test is $z =\frac{0.35 - 0.40}{\sqrt{\frac{0.35(1 - 0.35)}{60} + \frac{0.40(1 - 0.40)}{85}}}$

<h3>How to determine the test statistic</h3>

<u>40 milligrams of medication</u>

Patients = 60

Lower stress level patients = 21

The mean of this medication is:

$\bar x = \frac{x}{n}$

So, we have:

$\bar x_1 = \frac{21}{60}$

$\bar x_1 = 0.35$

<u>75 milligrams of medication</u>

Patients = 85

Lower stress level patients = 34

The mean of this medication is:

$\bar x = \frac{x}{n}$

So, we have:

$\bar x_2 = \frac{34}{85}$

$\bar x_2 =0.4$

The test statistic is then calculated as:

$z =\frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\bar x_1(1 - \bar x_1)}{n_1} + \frac{\bar x_2(1 - \bar x_2)}{n_2}}}$

The equation becomes

$z =\frac{0.35 - 0.40}{\sqrt{\frac{0.35(1 - 0.35)}{60} + \frac{0.40(1 - 0.40)}{85}}}$

Hence, the test statistics that is an appropriate hypothesis test is $z =\frac{0.35 - 0.40}{\sqrt{\frac{0.35(1 - 0.35)}{60} + \frac{0.40(1 - 0.40)}{85}}}$

Read more about test statistic at:

brainly.com/question/15980493

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2 years ago

Alexandria High School scored 37 points in a football game. Six points are awarded for each touchdown. After each

Dima020 [189]

Answer:

Five touchdowns were made in the game

Step-by-step explanation:

Here, we want to know the number of touchdowns made during the game.

We proceed as follows;

Let the number of touch downs be x

So the total points earned through touchdowns is 6 * x = 6x

The number of scores is 10 times

Let the number of extra kick be y which means that the number of conversions will be (y-1)

So the total number of score times will be ;

x + y + y-1 = 10

x + 2y = 11 •••••••••(i)

Now let’s work with points

Touch down points = 6 * x = 6x

Points from extra kick = 1 * y = y

Points from 2-point conversions = 2(y-1) = 2y - 2

So;

6x + y + 2y -2 = 37

6x + 3y = 37 + 2

6x + 3y = 39

divide through by 3

2x + y = 13 •••••••(ii)

So now solve simultaneously

From ii, y = 13 - 2x

Put this into i

x + 2(13-2x) = 11

x + 26 - 4x = 11

x -4x = 11-26

-3x = -15

x = -15/-3

x = 5

There are five touchdowns in the game

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4 years ago

If you are buying at item at a store for a price of $19, and there is a

Butoxors [25]

Answer:

20.05 or 20.06

Step-by-step explanation:

19 x .056

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