simplify the negative square root of negative 75

Answers

Answer 1

he negative square root of negative 75

= - √-75

= - √(25 * 3 * i^2)          ...............because i^2 = -1

= - 5i√3

Answer 2
Final answer:

The negative square root of -75 simplifies to [tex]5\sqrt{3}i[/tex] in the complex number system. 'i' is the imaginary unit, where i is the square root of -1.

Explanation:

In Mathematics, we cannot take the square root of a negative number in the set of real numbers. However, we use the concept of imaginary numbers where i is the square root of -1. Therefore, to simplify the negative square root of negative 75, we begin to simplify the terms inside the square root. Negative 75 can be factored into -1 and 75. Therefore, the square root of -75 is[tex]\sqrt{75}i[/tex], where the square root of 75 can further simplifies it to[tex]5\sqrt{3}i[/tex] , making the final answer [tex]5\sqrt{3}i[/tex]

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Related Questions

are all even numbers composite?

Answers

Yes. All even numbers are composite. However digits - 2, 4, 6, and 8 - do not count, since a number must be greater than 9.

Yes all even numbers are composite because they have more than 1 factor

The high school football team has a fundraiser selling t-shirts. It cost the team an initial $150 for the shirt order plus an additional $2 per shirt. The team sold the shirts for $10 per shirt. What is the the football team's profit equation, p(x), where x represents the number of shirts?

Answers

Answer:

[tex]P(x)=8x-150[/tex]

Step-by-step explanation:

Let

x-----> the number of shirts

we know that

The equation of the cost is equal to

[tex]C(x)=2x+150[/tex]

The equation of the sell is equal to

[tex]S(x)=10x[/tex]

The equation of the profit is equal to

[tex]P(x)=S(x)-C(x)[/tex]

substitute the values

[tex]P(x)=10x-(2x+150)=8x-150[/tex]

the water temperature at the beach started at 82 degrees and it is rising 0.6 degrees each hour. if the water temperature is now 85 degrees write and solve an equation to find h, the number of hours that have passed

Answers

Answer:

5 hours

Step-by-step explanation:

Given: the water temperature at the beach started at 82 degrees and it is rising 0.6 degrees each hour

To Find: If the water temperature is now 85 degrees write and solve an equation to find h, the number of hours that have passed

Solution:

Current water temperature at beach [tex]=82^{\circ}[/tex]

temperature rising rate degrees per hour [tex]=0.6^{\circ}[/tex]

let [tex]\text{h}[/tex] be the hours passed.

water temperature at the beach after hour [tex]\text{h}[/tex] be

                                                                       [tex]= 82+0.6\text{h}[/tex]

Therefore,

equation for water temperature after [tex]\text{h}[/tex] [tex]\text{hour}[/tex] is

                    [tex]= 82+0.6\text{h}[/tex]

When water temperature is [tex]85^{\circ}[/tex]

                    [tex]85=82+0.6\text{h}[/tex]

                    [tex]0.6\text{h}=85-82[/tex]

                    [tex]0.6\text{h}=3[/tex]

                    [tex]\text{h}=\frac{3}{0.6}[/tex]

                    [tex]\text{h}=5[/tex] [tex]\text{hours}[/tex]

therefore it will take  [tex]5[/tex] [tex]\text{hours}[/tex] to reach temperature [tex]85^{\circ}[/tex]

The relationship between final temperature, initial temperature, h and rate is 85 = 82 + 0.6h

To have a temperature of 85° at the beach, 5 hours would have passed.

Initial temperature = 82°

Rate of temperature rise = 0.6° per hour

Final temperature = 85°

The equation which describes the relationship :

Final temperature = Initial temperature + (rate × number of hours)

Number of hours = h

Mathematically, the relationship can be written as :

85 = 82 + 0.6h

Solving for h :

Subtract 82 from both sides :

85 - 82 = 0.6h

3 = 0.6h

Divide both sides by 0.6

3/0.6 = h

h = 5

Hence, the temperature will be 85° after 5 hours

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The question is on the picture

Answers

Answer,

100,000,000 > 334,605,925

But, 100,000,000 is smaller that 334,605,952

So, It would be "100,000,000 < 334,605,925"



pls help!! will give brainliest answer

Answers

A: For this equation you would use distributive property leading you to multiply 3x and 2 by 4 giving you a new expression. 12x + 8 - 2. After this you would just simplify the equation by subtracting 2 from 8 giving you 6. This leading to a new equation, 12x + 6.

B: In order to factor the expression you would need to do the reverse of distributive property, finding the GCF, or greatest common factor between the 16 and the 20b. When you do this you result in getting 4 as your GCF. Afterwards you need to divided the numbers by the GCF. Leading you to get 4(5b-4). This is how you would factor the equation.

How many lines of symmetry does a regular polygon with 16 sides have? A. 2 B. 8 C. 32 D. 16

Answers

Answer:

16 lines of symmetry.

Step-by-step explanation:

D is your answer!

Hope this helps!!

Option D is correct, 16  lines of symmetry does a regular polygon with 16 sides have.

What is Polygon?

a polygon is a plane figure made up of line segments connected to form a closed polygonal chain.

Apothem for a regular polygon is a line segment that originates from the center of the regular polygon and touches the mid of one of the sides of the regular polygon.

It is perpendicular to the regular polygon's side it touches.

Regular polygons have all sides the same and that apothem bisects the side in two parts, (provable by symmetry).

A regular polygon with 16 sides has a line of symmetry.

It has 16 lines of symmetry as well.

Hence, 16  lines of symmetry does a regular polygon with 16 sides have.

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Solve 4x+8(x-3)=4+6x
Show your work

Answers

x = [tex]\frac{14}{3}[/tex]

distribute parenthesis on left side and simplify

4x + 8x - 24 = 4 + 6x

12x - 24 = 4 + 6x ( subtract 6x from both sides )

6x - 24 = 4 ( add 24 to both sides )

6x = 28 ( divide both sides by 6 )

x = [tex]\frac{28}{6}[/tex] = [tex]\frac{14}{3}[/tex]


Use the drop-down menus to choose steps in order to correctly solve 4k−6=−2k−16−2 for k.

Answers

First you subtract by the numbers.

[tex]4k-6=-2k-18[/tex]

Then you add by six from both sides of equation form.

[tex]4k-6+6=-2k-18+6[/tex]

Simplify.

[tex]4k=-2k-12[/tex]

Next add by two-k from both sides of equation form.

[tex]4k+2k=-2k-12+2k[/tex]

Then simplify.

[tex]6k=-12[/tex]

Next divide by six from both sides of equation form.

[tex]\frac{6k}{6}=\frac{-12}{6}[/tex]

And finally, simplify by equation.

[tex]k=-2[/tex]

Final answer is ⇒ [tex]\boxed{k=-2}[/tex]

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

Answer:

First drop-down : -

Second drop-down : 12

Third drop-down : 6

Fourth drop-down : -12

Fifth drop-down : -2

find the next two terms 1/8, 2/7, 1/2, 4/5

Answers


[tex] \frac{1}{8} \frac{2}{7} [/tex]
[tex] \frac{1}{2} \frac{4}{5} [/tex]
[tex] \frac{5}{4} \: and \frac{6}{3} [/tex]
this is because the pattern is the numerator increase by 1, and the denominator decrease by 1.

round 483 to the nearest ten

Answers

To round to the nearest ten, we will look at the number in the ones place, and determine if it is higher, lower, or equal to 5. In this case, 3 is less than 5, so we round down. This means that 483 rounded to the nearest ten is 480. :) I hope this helps you in the future! A common phrase you can think about is:
Four or less, give it a rest. 5 and above, give it a shove.

Answer:

480

We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.


4x + 7 = 3 do you know how to do this?

Answers

4x=-4 then solve for x.

Final answer x=-1

PLEASE ANSWER I NEED IT ASAP

Subtract the second expression from the first. (5x^2-3x+5) - (3x^2-4x-7)

1. 2x^2+x+12
2. 2x^7+x+12
3. 8x^2+x+12
4. 2x^2+x-2

Distribute: 11 (-3+5X^2)

1. -55x^2+33
2. 22x
3. 5x^2-33
4. 55x^2-33

Answers

[tex](5x^2-3x+5)-(3x^2-4x-7)\\\\=5x^2-3x+5-3x^2+4x+7\\\\=(5x^2-3x^2)+(-3x+4x)+(5+7)\\\\=2x^2+x+12\to1.[/tex]


[tex]11(-3+5x^2)=(11)(-3)+(11)(5x^2)=-33+55x^2=55x^2-33\to4.[/tex]

Use the objective function P = 50x + 80y to calculate the profit at each point. (0, 5) P = (1, 12) P = (4, 10) P =

Answers

(x,y)

P = 50x + 80y

P=(0,5)
=50(0) + 80(5)
= 0 + 400
= 400

P=(1,12)
= 50(1) + 80(12)
= 50 + 960
= 1010

P=(4,10)
= 50(4) + 80(10)
= 2000 + 800
= 2800

Answer :

The profit at point (0,5) is, 400

The profit at point (1,12) is, 1010

The profit at point (4,10) is, 1000

Step-by-step explanation :

Coordinates : It is a set of values which show an exact position on a graph.

There are two variables or coordinates that are x-coordinate and y-coordinate.

As we are given that function:

[tex]P=50x+80y[/tex]

where,

P = profit

x and y are the coordinates.

(1) Now we have to calculate the profit at point (0,5).

[tex]P=50x+80y[/tex]

x = 0 and y = 5

[tex]P=50\times 0+80\times 5[/tex]

[tex]P=0+400[/tex]

[tex]P=400[/tex]

The profit at point (0,5) is, 400

(2) Now we have to calculate the profit at point (1,12).

[tex]P=50x+80y[/tex]

x = 1 and y = 12

[tex]P=50\times 1+80\times 12[/tex]

[tex]P=50+960[/tex]

[tex]P=1010[/tex]

The profit at point (1,12) is, 1010

(3) Now we have to calculate the profit at point (4,10).

[tex]P=50x+80y[/tex]

x = 4 and y = 10

[tex]P=50\times 4+80\times 10[/tex]

[tex]P=200+800[/tex]

[tex]P=1000[/tex]

The profit at point (4,10) is, 1000

5/7 divided by 8/9 equals _____

Answers

5x9/7x8

Answer is 45/56
You can use the copy dot flip method. So 5/7 divided by 8/9 is the same as 5/7 times 9/8 the answer. 5x9=45 and 7x8=56. So your answer would be 45/56. I don’t know if the answer can be reduced not.

your work 14 hours last week a d earned a total of $96 befor taxes. your job as a lifeguard pays $8 per hour and your job as a chashier pays $6 per hour. how many hours did you work at each job

Answers

You would have worked 6 hours as lifeguard and 8 hours as cashier.

8(14 - y) + 6y = 96

112 - 8y + 6y = 96

112 - 2y = 96

-2y = -16

y = -16/-2 = 8

You worked 8 hours as a cashier. since the total hours worked is 14 we know you worked as a lifeguard for 6 hours.

a theater has 144 seats. the theater sells tickets for $6 per adult and $4 per child. if the theater sold out on friday night and earned $660, how many adult tickets and child tickets were sold friday night?

Answers

a theater has 144 seats. the theater sells tickets for $6 per adult and $4 per child

Let x be the number of adult tickets

and y be the number of child tickets

Total number of tickets sold is 144

x + y = 144  -----------> equation 1

the theater sells tickets for $6 per adult and $4 per child and earned $660

6x + 4y = 660  ----------> equation 2

Solve for x  and y

x + y = 144

y = 144 - x

Now plug it in second equation

6x + 4y = 660

6x + 4(144 - x) = 660

6x + 576 -4x = 660 (combine like terms)

2x + 576 = 660 (subtract 576 from both sides)

2x = 84 (divide by 2)

x= 42

Number of adult tickets = 42

y = 144 - x

y = 144- 42= 102

Number of child tickets = 102


The theater sold 42 adult tickets and 102 child tickets on Friday night, calculated by setting up and solving a system of equations based on the total seats and revenue.

To solve the problem, we need to set up a system of equations based on the information provided. The total number of seats is 144, and the total revenue from selling out on Friday night is $660. Let A represent the number of adult tickets sold and C represent the number of child tickets sold. Therefore we have the following equations:

A + C = 144 (since all seats were sold)6A + 4C = 660 (which reflects the total revenue from ticket sales)

Now we can solve this system of equations. Multiplying the first equation by 4, we get 4A + 4C = 576. Subtracting this from the second equation cancels out the C, leaving us with 2A = 84, or A = 42. Plugging this into the first equation gives us C = 144 - 42, or C = 102.

Therefore, the theater sold 42 adult tickets and 102 child tickets on Friday night.

Simplify -8y^3(7y^2-4y-1) PLEASE HELP

Answers

Hey!



Alright, according to P.E.M.D.A.S., the first step to solving this expression is to distribute.


Original Expression :

[tex]\displaystyle\ -8y^{3} (7y^{2} -4y-1)[/tex]


New Expression {Distributed Old Expression} :

[tex]\displaystyle\ -(56y^{5} -32y^{4} -8y^{3} )[/tex]


Now all you have to do is simplify the parenthesis.


Old Expression :

[tex]\displaystyle\ -(56y^{5} -32y^{4} -8y^{3} )[/tex]


New Expression {Simplified} :

[tex]\displaystyle\ -56y^{5} + 32y^{4} + 8y^{3}[/tex]


So, since the expression can no longer be simplified, the final answer is...


[tex]\displaystyle\ -56y^{5} + 32y^{4} + 8y^{3}[/tex]

Hope this helps!



- Lindsey Frazier ♥

Solution :

Given expression [tex]-8y^{3}(7y^{2}-4y-1)[/tex]

To simplify this expression, first we need to know about the Distributive property.

Distributive Property: [tex]a\times(b+c+d)=(a\times b)+(a\times c)+(a\times d)[/tex]

Given expression [tex]-8y^{3}(7y^{2}-4y-1)[/tex]

Applying Distributive property on this expression:

[tex]\Rigtharrow -8y^{3}(7y^{2}-4y-1)=((-8y^{3})\times7y^{2})+((-8y^{3})\times(-4y))+((-8y^{3})\times(-1))[/tex]

                           [tex]= -56y^{5}+32y^{4}+8y^{3}[/tex]

Hence, the simplified form of the expression  [tex]-8y^{3}(7y^{2}-4y-1)[/tex] is  [tex]-56y^{5}+32y^{4}+8y^{3}[/tex].

Hey guys I’m having some trouble plz help

Answers

I'm pretty sure the answer is 5/16

Write in algebraic expression (the product of 5 and p increased by 10)

Answers

The expression would be 5(p + 10).

answer:

5p + 10

step-by-step explanation:

product: multiplied

so when this equations says the product or 5 and p it is meaning 5 and p multiplied so our equation would start out with 5 × p or to make it simpler 5p

increased: added by

the next part is increased by 10 so that means we need to add + 10 to the end of our equation making our answer 5p + 10


Explain how to use compensation to find the difference of 30000 and 6985

Answers

Compensation is the process of reformulating an addition, subtraction, multiplication, or division problem to one that can be computed more easily mentally.

We will use compensation to find the difference of 30,000 and 6985.

Since, we have to evaluate 30,000 - 6,985

Let us add '15' to 6985,

6,985 + 15 = 7,000

Let us add '15' to 30,000

30,000 + 15 = 30,015

Now, we have to subtract 30,015  and 7,000

= 30,015 - 7,000

= 23,015

Therefore, the difference of 6,985 from 30,000 is 23,015.

Final answer:

The strategy of compensation involves adjusting numbers to make calculations easier. In the case of finding the difference between 30000 and 6985, you would adjust 6985 to 7000, subtract it from 30000 to get 23000, then add back the 15 you added to 6985 at the beginning. The result is 23015.

Explanation:

In mathematics, compensation is a strategy where you adjust one of the numbers to make the equation easier to solve. Pivotally, you make the same adjustment to the other number so as not to change the overall result.

Let's use this strategy to find the difference between 30000 and 6985

First, round up the smaller number, 6985, to a easier number to subtract from 30000, which is 7000.Next, calculate the difference between the original number 6985 and the rounded number 7000, which is 15.Then, subtract the rounded number 7000 from 30000, which gives you 23000.Finally, add back the 15 you adjusted in Step 2, which gives you 23015.

So, through the use of compensation the difference between 30000 and 6985 is 23015.

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1.22 on a candy bar, $1.48 on yogurt, $7.98 on a pizza, and $2.79 on bread. If she pays with a $20 bill, how much change will she receive? Explain how you got your answer.

Answers

Answer:

She'll receive $6.53.

Step-by-step explanation:

First add everything she purcahsed.

1.22 + 1.48 + 7.98 + 2.79 = 13.47

Then subtract that from how much she paid.

20 - 13.47 = 6.53

So 6 dollars and 53 cents.

Hello!

To find the total amount of change we need to combine the total cost of everything first and then subtract that from 20!


$ 1.22+ $ 1.48+ $ 7.98+$ 2.79 = $ 13.47

$ 20.00 - $ 13.47 = $ 6.53


The answer to question is that she will recieve $6.53 in change if she pays with a $20 bill. If you need anymore clarification feel free to ask! Hope this helps.

Which of the following is NOT a characteristic of a plane?
it cannot be seen
it is imaginary
its width can be measured
it is infinite
none of the above

Answers

It’s width can be measured (is not a characteristic of a plane)

Answer: The width can be measured in not a characteristic of a plane

Step-by-step explanation: Think about it it doesn't make sense becuase it doesn't have measurable width

What is the difference between slope intercept form and point slope form? Also, why can't you just use slope intercept form instead of point slope form? You can just substitute the y-intercept and slope for y=mx+b.


BRANLIEST FOR WHOEVER ANSWERS THE QUESTION THE BEST

Answers


Answer:

1) point-slope form

2) slope intercept form


Explanation:

1) y−b=m(x−a)

m = slope

(a, b) A point that the line passes through


2) y=mx+b

m = slope

b = y-intercept

The required difference between slope intercept form and point-slope form line is when we have slope and y-intercept we use slope-intercept equation and when we have coordinates of a point on the line we use the point-slope form of the line.

What is the slope of the line?

The slope of the line is the tangent angle made by the line with horizontal. i.e. m =tanx where x in degrees.

The slope-intercept form of the equation of a line is,


y =  mx +c   - - - - - - (1)

The point-slope form of the line is given by,


(y - y1) = m(x - x1)    - - - - - - (2)
where m is the slope of equation and m = (y2 - y1) / (x2 - x 1).

Thus, we use a slope-intercept form of the equation when we have given the slope of the line and y-intercept of the line. when we have a coordinate of one point and slope or more than two coordinates of points on the line so we use the point-slope form of the equation.



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For every $50.00. Michael earns, he saves $5. for the future. How much money will he have saved when he earns a total of $500.

Question 6 options:

A. He will have saved $25.


B. He will have saved $150.


C. He will have saved $500.


He will have saved $50.

Answers

The answer is D

This is because if for every $50 he saves $5, and he has saved a total of $500, you can set up a proportion to find out how much money he has saved at that point.

The proportion is as follows:

50/5 == 500/x

x is equivalent to the amount of money he has saved

You can cross multiply to get the following equation:

50x == 2500

To isolate x, you must divide both sides by 50, giving you an answer of:

x = 50

This is the same as option D

D. He will have saved $50

Susie earned $66.70 in 9.2 hours.how much did she earn in per hour

Answers

To find out how much she earned per hour you want to divide.

$66.70/9.2 = $7.25

Susie earned $7.25 per hour.

Hope this Helps!!

Susie earns $7.25 per hour.

To determine how much Susie earns per hour, you need to divide her total earnings by the number of hours worked. Given that Susie earned $66.70 in 9.2 hours, you can calculate her hourly rate as follows:

Hourly Rate = Total Earnings / Hours Worked

Hourly Rate = $66.70 / 9.2 hours

Hourly Rate = $7.25 per hour (rounded to two decimal places)

Thus, Susie earns $7.25 per hour.

what gose into 2 14 fractions

Answers

the answer to the question is 2

it gives us the answer of 1/7

what is the first quartile of this data set? 10,11,12,15,17,19,22,24,29,33,38

Answers

The first quartile is the middle of the first half.

Which would be the number 12 I think

Which expression is equal to 4mn^8/28m^5n^3 ?

Answers

Answer: [tex]\frac{n^{5}}{7m^{4}}[/tex]


Step-by-step explanation:

1. You have the following expression given in the problem above:

[tex]\frac{4mn^{8}}{28m^{5}n^{3}}[/tex]

2. To find an expression that is equal to the expression shown in the problem, you can simplify it:

- As you can see, 4 and 28 are divisible by 4.

- You need to apply the exponents properties. To divide two powers with the same base, you must subtract the exponents.

3. Keeping this on mind, you have:

[tex]\frac{n^{(8-3)}}{7m^{(5-1)}}=\frac{n^{5}}{7m^{4}}[/tex]

What is the change in temperature from -45 to -71

Answers

-26 is the change because -71 - -25 is -26

I do these types of problems a little different then some may.  I turn this into a positive and see how far it is like that.  

When thinking of it like that, how many numbers are between 45 and 71?

Just subtract 71-45= 26.

So know we know that there are 26 numbers in between 45 and 71.

If you go back to the original problem, you will see to get from -45 to -71, you have to -26.

So the temperature has to drop 26 degrees making your change in temperature -26 degrees.

I need this to be answered PLEASE!!!

Answers

What I did was put 45/60 (45 as the minute and the 60 to make up an hour) into 75/100 which I then put the 2.75( the 2 hours from the time already) and divided 8580/2.75= 3120

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