Consider the 4th roots of 16[cos(π) + i sin(π)].

The roots are located on a circle with center at the origin and radius of ....
The arguments of two successive roots differ by.... π units along the circumference of a circle.

Answer:

X=48

Step-by-step explanation:

x^2+y^2=z^2

but in this case it's z^2-y^2=x^2

so 73^2= 5329

and 55^2=3025

5329-3025=2304

Square Root of 2304 is 48, meaning X=48

Hope this helps!

Answer:

A: [tex]\frac{1}{2\sqrt{x-1} }[/tex]

B:[tex]\frac{1}{4\sqrt[4]{x^{3} } }[/tex]

c: 2x

Step-by-step explanation:

To find the derivative of x raised to the nth power we use the following template

[tex]x^{n}=nx^{n-1}[/tex]

Something else to keep in mind is that

[tex]\sqrt[n]{x^{y}}=x^{y/n}[/tex]

So knowing this we can rewrite a as follows

[tex]\sqrt{x-1} =(x-1)^{1/2}[/tex]

so we can use the template above and get

[tex]\frac{1}{2}(x-1)^{.5-1}[/tex]

So that simplifies to

[tex]\frac{1}{2}*(x-1)^{-\frac{1}{2}[/tex]

[tex]\frac{(x-1)^{-.5}}{2}[/tex]

[tex]\frac{1}{2\sqrt{x-1} }[/tex]

B: Same kind of deal here

[tex]\sqrt[4]{x}=x^{\frac{1}{4} }[/tex]

[tex]\frac{1}{4} *x^{\frac{1}{4}-1}[/tex]

[tex]\frac{x^{-\frac{3}{4}}}{4} =\frac{1}{4\sqrt[4]{x^{3} } }[/tex]

C: this one is by far the easiest because the derivative of a constant is 0 so we can just apply the same template from before and get

2x

Answer:

y - 7 = -5(x + 2)

Step-by-step explanation:

What's the goal of this problem?  Please include the instructions.

If you want the equation of the line, recognize that a point on the line and the slope of the line are given:  y - k= m(x - h) becomes   y - 7 = -5(x + 2)

Answer:

4.50/2=2.25

11.25/5=2.5

22.5/10=2.25

Step-by-step explanation:

Hope this helps ♡

Answer:

negative:-7, -8, -9

positive: 8,4,6

Step-by-step explanation:

Answer:

5 and -5

Step-by-step explanation:

you could use a number line and make it go two ways from 0, any number to the left is negative, any numbers right are positive.

Answer: The system of equations is

40x + 55y = 920

40x + 65y = 1000

x is the cost of the adult ticket; y is the cost of the child ticket

Step-by-step explanation:

If you have to solve this, elimination is a good method.

Subtract the top equation from the second equation.

40x + 65y = 1000

-40x + 55y = 920  x cancels  Solve for y

0  + 10y  =  80    Divide both sides by 10

y  = 8 .  Substitute 8 for y in either equation and solve for x

40x + 65(8) = 1000

40x + 520 = 1000   Subtract 520 from both sides

  40x = 1000 - 520

40x = 480   Divide both sides by 40

x = 12  

Answer:

An equilateral triangle has all its 3 angles the same.

Hope this helped. :)  

Equilateral triangle:

An equilateral triangle is a triangle having three equal sides, or what is sometimes referred to as a "regular" triangle. Because all three sides of an isosceles triangle are equal, an equilateral triangle is a particular case of an isosceles triangle.

Additionally, an equilateral triangle has three equal angles of 60 degrees.

Equilateral Triangle Perimeter:

In geometry, any polygon's perimeter is equal to the sum of its sides. The perimeter of an equilateral triangle is equal to the sum of its three sides.

In the event that ABC is an equilateral triangle, then its perimeter is;

Perimeter = AB + BC + AC

P = a + a + a

P = 3a    [where "a" is the triangle's side length.]

To read more about "Equilateral Triangle" here:

brainly.com/question/10681095

Answer:

the answer is 600!

Step-by-step explanation:

the formula would be... 300+20x when x=the amount of days, have a great day I hole this helped!

Answer:

300+20x, 600 total copies created.

Step-by-step explanation:

x= number of days.

20 papers per day.

20(15) is 300.

300+300=600

Answer:  3/2 cm per second

========================================================

Explanation:

We could compute the slope of this line to get the answer, or we could simply compute y/x. This shortcut only works because the line goes through the origin. If the line didn't go through the origin, then we would have to use the slope formula.

The unit rate is y/x = 9/6 = 3/2 cm per second. I used the point (9,6) to compute the unit rate.

We can think of the fraction 3/2 as 1.5, so the unit rate is equivalent to 1.5 cm/sec.

Answer: it is called the base

Step-by-step explanation:

Kindly check picture to the question below.

Answer:

150 minutes

Step-by-step explanation:

Volume of prism = height * base area

Height of prism = 1m

Base area = area of a trapezium

Area of trapezium = 0.5(a + b) h

a, b = parallel sides, h= height of trapezium

Area of trapezium = 0.5(1.4+0.6)*2

Area = 0.5(2)*2 = 2m²

Hence,

V of prism = area of trapezium * height of prism

Volume = 2m² * 1m = 2m³

Decrease in water level due to pumping

20cm decrease in 30minutes

(20/100)m in 30 minutes

0.2 m decrease in height of water

Hence, height of water in prism after 30 minutes pumping :

height - 0.2 = 1 - 0.2 = 0.8m

Volume after 30 minutes of pumping :

Base area * new height

2m² * 0.8m = 1.6m³

Decrease in volume over 30 minutes :

(Initial volume - volume after pumping)

2m³ - 1.6m³ = 0.4m³

If ;

0.4m³ = 30 minutes

1.6m³ = x

0.4x = 48

x = 48 / 0.4

x = 120

Hence, it takes 120 minutes for the remaining 1.6m³ to be emptied.

Hence, total wait time :

120 minutes + 30 minutes

= 150 minutes

Answer:  $50

Step-by-step explanation:  Draw a line through the apparent center of the scattered dots. See where that line intersects 9 in the time scale (x-axis numbers) and the dollars earned scale (y-axis numbers)

It could be 50 or 55, but since there are a few more dots below the apparent midline, it may be best to use the lower estimate.

Answer:

565.3 cm

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.

Sine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:

[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]

In triangle KLM:

∠K + ∠L + ∠M = 180° (sum of angles in a triangle)

∠K + 107 + 18 = 180

∠K + 125 = 180

∠K = 55°

We can find the length of k using sine rule:

[tex]\frac{l}{sinL}=\frac{k}{sinK} \\\\substituting:\\\\\frac{660}{sin(107)}=\frac{k}{sin(55)} \\\\k=\frac{660}{sin(107)}*sin(55)\\\\k=565.3\ cm\\[/tex]

(3^0+2^0)(5^0)

=(3^0+2^0)(5^0)

=(3^0)(5^0)+(2^0)(5^0)

= 1 + 1

= 2

Answer:

2

Step-by-step explanation:

The answer comes from what is inside the brackets.

anything ^ 0 = 1

So 3^0 + 2^0 = 1 + 1 = 2

5^0 = 1

2 *1 = 2

Answer:

Sophia can drive 3672 miles using 18 gallons of gas.

Step-by-step explanation:

204 x 18 = 3672.

Answer:

step 2

Step-by-step explanation:

When you subtract an expression from another expression, you need to distribute the (-) sign.

step 1 (6x³ + 8x² - 7x) - (2x³ - 16x² + 3x - 24)

step 2 6x³ + 8x² - 7x - 2x³ + 16x² - 3x + 24

step 3 4x³ + 24x² - 10x + 24

Answer:

22/44, divide both sides by 22, then you would got 1/2

1/2. This is because 22 is half of 44, so we can simplify it into 1/2.

Answer:

180° on a straight line

180 = 18x - 54

add 54 to both sides

234 = 18x

X = 234/18

X= 13°

6 X 13 - 5 = 73

12 X 13 - 49 = 107

107 + 73 = 180

Answer:

x=-9

Step-by-step explanation:

M(slope)=y2-y1/x2-x1

m=-5-5/-9+9

m= -10/0

This means the slope is undefined. Whenever the slope is undefined, the line is vertical and is passing through the x-axis and parallel to the y-axis. Take the given coordinate (-9,5) and all you do is put x= -9. That's the equation of the line.

[tex] {m}^{2} - 256 = ( x - 16)(x + 16)[/tex]

Therefore, none of these.

Answer:

hehehe

Step-by-step explanation:

Answer/ explaination

the answer is 108, not 180 because 9 goes into 7, 0 times but he put 8

Answer: y=2x-3

Step-by-step explanation: I looked it up.

Answer:

The quadratic equation is

3x^2+ 27x + 60

Step-by-step explanation:

Here, we have the roots -5 and -4 and the leading coefficient of 3

Mathematically, we simply have this done to the roots;

x = -5 implies x+ 5

x = -4 implies x + 4

The product of this two will be;

(x + 5)(x + 4)

= x^2 + 5x + 4x + 20

= x^2 + 9x + 20

we add the leading coefficient

that would be;

3(x^2 + 9x + 20)

= 3x^2 + 27x + 60

Answer: pretty sure it’s 6 because of its giving you an x to solve and there is a number across from it you multiply that number by 0.5

Step-by-step explanation:

and 0.5 x 12 is 6

The measure of the side length of the triangle is 6. Then the correct option is C.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

If the two triangles are similar, the ratio of the corresponding sides will be constant.

If triangles ADE and ABC shown in the figure below are similar.

From the figure, we have

x / 12 = 2 / 4

      x = 6

Then the correct option is C.

The complete question is attached below.

More about the triangle link is given below.

https://brainly.com/question/25813512

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