Express on simplest form in terms of i: sqrt-16

Answers

Answer 1

Answer: $√(-16)=√(-1\cdot16)=√(-1)\cdot√(16)=i\cdot4=4i$

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Solve the following system using the substitution method.9x + 8y = 15
-5x + 12y = -107

(x, y) = ( , )

Answers

x = (15 - 8y)/9

-5[(15 - 8y)/9] + 12y = -107

(-75/9) + (40/9) + 12y = -107

y = -8.59

x = [15 - 8(-8.59)]/9

x = 9.3
(x,y) = (9.3, -8.59)

The density of a certain material is such that it weighs 7 pounds for every 5.5 cups of volume. Express this density in kilograms per pint. Round your answer to the nearest hundredth.

Answers

Answer:

$Density = 1.1546\ kg/pint$

Step-by-step explanation:

Given

$Mass = 7\ lb$

$Cups = 5.5$

Required

Determine the density in Kg/Pint

Density is calculated as thus:

$Density = (Mass)/(Volume)$

$Density = (7\ lb)/(5.5\ cups)$

Convert pound to kg

$Density = (7/ 2.205\ kg)/(5.5\ cups)$

$Density = (3.17515\ kg)/(5.5\ cups)$

Convert cups to pint

$Density = (3.17515\ kg)/(5.5/2\ pint)$

$Density = (3.17515\ kg)/(2.75\ pint)$

$Density = 1.1546\ kg/pint$

Final answer:

The density of the given material can be converted from 7 pounds per 5.5 cups to 1.22 kg per pint by adjusting the weight from pounds to kilograms and the volume from cups to pints.

Explanation:

To solve this problem, we need to start by understanding the unit conversions. We know that 1 pound is approximately 0.453592 kilograms and 1 pint is equivalent to 2.11338 cups. Therefore, we need to convert the units of the given density from pounds per cups to kilograms per pint.

First, convert the weight from pounds to kilograms: 7 pounds * 0.453592 kg/pound = 3.17514 kg

Next, convert the volume from cups to pints: 5.5 cups / 2.11338 cups/pint = 2.6 pints

Finally, calculate the new density by dividing the weight by the volume: 3.17514 kg / 2.6 pints = 1.22 kg/pint to the nearest hundredth.

Learn more about Density Conversion here:

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A whole pie is divided into twelve equal pieces.at what angle is each pie cut?

Answers

$A\ whole\ pie\ is\ 360^o\n\nAn\ angle\ each\ pie\ cut\ is\ 360^o:12=30^o$

It's simple. If there are 360 degrees in a circle, and you're dividing that into 12 pieces, just divide 360 by 12 and get 30 degrees

Find y on the triangle that has sides length of 7 and x

Answers

The lengths of two sides is not enough information to determine a unique triangle. There are an infinite number of possible correct answers.

Based on the z-statistic of –2.5 for the sample data, should the null hypothesis be rejected? Yes, because the z-statistic lies within the critical region. Yes, because the z-statistic lies outside of the critical region. No, because the z-statistic lies within the critical region. No, because the z-statistic lies outside of the critical region.

Answers

Answer:

No, because z-statistics lies within the critical region.

Step-by-step explanation:

The z value is calculated to determine whether the null hypothesis should be accepted or rejected. The null hypothesis is rejected when the z-value lies outside the critical region. The critical region is determined by the sample data.

Answer:

A) Yes, because the z-statistic lies within the critical region.

Step-by-step explanation:

Next one is B) The claim should be rejected.

If f( x ) = 5x -2, what is f( 3 ) ?

F- 0
G- 8
H- 13
J - 15