The choices are =,>,< and greater than or equal to

Answer:

The answer is C

Step-by-step explanation:

Correct answer shown on edge

The power of 5 of complex number z is (-16√3 + 16) + 4(-√3 + 3)i

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have:

z = 1 + √3i

We have to find: z⁵

z⁵ = (1 + √3i)(1 + √3i)(1 + √3i)(1 + √3i)(1 + √3i)

z⁵ = (-2 + 2√3)(1 + √3i)(1 + √3i)(1 + √3i)

[tex]\rm z^5=\left(2\sqrt{3}-2\right)+2\left(3-\sqrt{3}\right)i(1+\sqrt{3}i)(1+\sqrt{3}i)[/tex]

[tex]\rm =\left(-4\sqrt{3}+4\right)+4\left(3-\sqrt{3}\right)i(1+\sqrt{3}i)[/tex]

z⁵ = (-16√3 + 16) + 4(-√3 + 3)i

Thus, the power of 5 of complex number z is (-16√3 + 16) + 4(-√3 + 3)i

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Answer:

Yes

Step-by-step explanation:

Sure. For example 5.1+13.9>12.7 or 5.1+12.7>13.9 or 13.9-5.1<12.7

Answer:

Yes

Step-by-step explanation:

The equation –2 = –2 is always true, so no value of x will make the equation true. The correct solution of the equation is that there is no solution.

In mathematics, an equation is a statement that shows the equality between two expressions. It contains an equals sign (=) that separates the two expressions. The expressions on both sides of the equals sign can be numbers, variables, or functions. The equation represents a relationship between the expressions that must hold true for all values of the variables involved. Solving an equation means finding the values of the variables that satisfy the equation. Equations are used in various fields, such as physics, engineering, economics, and many others, to model and solve real-world problems.

Here,

The error made by the student is assuming that -2 is the solution to the equation without actually solving it. The equation -2 = -2 is always true, which means that the equation is an identity and has no solution. So, the correct solution of the equation is that there is no solution.

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Answer:

21

Step-by-step explanation:

set up proportion and solve

18/12=x/14 (cross multiply)

252=12x

21=x

Given:

Figure of a triangle.

To find:

The values of x.

Solution:

In the figure, we have an angle bisector.

According to the angle bisector theorem, an angle bisector of a triangle always divides the opposite side into two segments that are proportional to the other two sides of the triangle.

Using angle bisector theorem, we get

[tex]\dfrac{x}{7}=\dfrac{15}{14}[/tex]

Multiply both sides by 7.

[tex]x=\dfrac{15}{14}\times 7[/tex]

[tex]x=\dfrac{15}{2}[/tex]

[tex]x=7.5[/tex]

Therefore, the value of x is 7.5 units.

Answer:

90

Step-by-step explanation:

Answer:

90 cupcakes

Step-by-step explanation:

So, to solve this question all we have to do is add the number of cupcakes that Dan brought and the number of cupcakes that his friend bought.

So the expression would look like this:

36 + 49 + 5 = 90

So, in conclusion, the bake sale had 90 cupcakes to sell

plz mark me brainliest if correct :)

Answer:

89.14

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf 8 \ cups \ of \ raisins }}[/tex]

Step-by-step explanation

Let's create a proportion using this setup.

[tex]\frac{raisins}{almonds} =\frac{raisins}{almonds}[/tex]

We know that 2 cups of raisins are needed for 3 cups of almonds.

[tex]\frac{2 \ cups \ raisins}{3 \ cups \ almonds} =\frac{raisins}{almonds}[/tex]

We don't know how many cups of raisins are needed for 12 cups of almonds. Therefore, x cups of raisins are needed for 12 cups of almonds.

[tex]\frac{2 \ cups \ raisins}{3 \ cups \ almonds} =\frac{x \ cups \ raisins}{12 \ cups \ almonds}[/tex]

[tex]\frac{2 }{3} =\frac{x }{12 }[/tex]

Since we are solving for x, we must isolate that variable. It is being divided by 12. The inverse operation of division is multiplication. Multiply both sides of the proportion by 12.

[tex]12*\frac{2 }{3} =\frac{x }{12 }*12[/tex]

[tex]12*\frac{2 }{3}=x[/tex]

[tex]8=x[/tex]

8 cups of raisins are required for 12 cups of almonds.

Answer:

f(x-7) =  x -12

Step-by-step explanation:

horizontal translation 7 units right: f(x-7)

f(x) = x - 5

f(x-7) = x-7 -5 = x -12

Answer:

144

Step-by-step explanation:

plug in 5 where you see the x.

that gives us 9(4(5)-4)

multiply the 4 and the 5 first to get 9(20-4)

and by PEMDAS, we solve the parentheses first so now we have 9(16)

so now just multiply 9x16 to get 144

Step-by-step explanation:

9((4×5)-4)

9(20-4)

9(16)

144

Answer:

2,500 grams

Step-by-step explanation:

2.5 kilograms = 2,500

Therefore, the laptop is 2,500 kilograms.

hope i helped

Answer:

4:1

Step-by-step explanation:

hope this helps

Answer:

The ratio is 1 hour to 1.5 laptops

Step-by-step explanation:

If you divide the time by amount done, there you have the answer.

Answer:

52%.

Step-by-step explanation:

There are a total of 50 squares in the shape, and only 26 squares of the shape are shaded. That makes 52% or 0.52.

Answer:

52%

Step-by-step explanation:

26 out of 50 blocks are shaded orange

26/50 = 52%

Answer:500(1.2)^x

Plato :)

Answer:

3

Step-by-step explanation:

PLATO

Answer:

Step-by-step explanation:

Move

2x-3

x2+4x+3

to the left side of the equation by subtracting it from both sides.

x+2

x2-9

+

x-3

x2-2x-3

-

2x-3

x2+4x+3

=0

Simplify

x+2

x2-9

+

x-3

x2-2x-3

-

2x-3

x2+4x+3

Mark me brainless

Answer: the sum is 5

Step-by-step explanation:

Answer:

5 x 3/4 < 5

2 x 4/3 > 2

6 x 5/5 = 6

4/7 x 1/8 < 4/7

2/5 x 7/7 = 2/5

1/3 x 6/4 > 1/3

[tex]{\underline{\underline{\bf{Given:}}}}[/tex]

[tex]{\underline{\underline{\bf{Need\:to\:find:}}}}[/tex]

[tex]{\underline{\underline{\bf{Formula\:to\:be\:used:}}}}[/tex]

Pythagorean Theorem:

[tex]\underline{\boxed{\sf{{Base}^{2}+{Perpendicular}^{2}={Hypotenuse}^{2}}}}[/tex]

[tex]{\underline{\underline{\bf{Solution:}}}}[/tex]

According to the given data, we know the measures of Perpendicular and Hypotenuse. Hence, the measure of the base (Side FE) can be found by substituting the given measures in Pythagorean Theorem.

[tex]\implies{\sf{{Base}^{2}+{Perpendicular}^{2}={Hypotenuse}^{2}}}[/tex]

[tex]\implies{\sf{{EF}^{2}+{DF}^{2}={DE}^{2}}}[/tex]

[tex]\implies{\sf{{EF}^{2}+{(13.6)}^{2}={(16.2)}^{2}}}[/tex]

[tex]\implies{\sf{ EF = \sqrt{ {(16.2)}^{2} - {(13.6)}^{2} } }}[/tex]

[tex]\implies{\sf{ EF = \sqrt{ 262.44 - 184.96 } }}[/tex]

[tex]\implies{\sf{ EF = \sqrt{77.48 } }}[/tex]

[tex]\implies{\sf{EF=\red{\underline{\underline{8.802\:m}}}}}[/tex]

[tex]{\underline{\underline{\bf{Required\:answer:}}}}[/tex]

Answer: B. 77

Sub x =6 into the given expression

4x^2 - 12x + 5

= 4(6)^2 - 12(6) + 5

= 144 - 72 + 5

= 77

[tex]\\ \sf\longmapsto 4x^2-12x+5[/tex]

[tex]\\ \sf\longmapsto 4(6)^2-12(6)+5[/tex]

[tex]\\ \sf\longmapsto 4(36)-72+5[/tex]

[tex]\\ \sf\longmapsto 144-67[/tex]

[tex]\\ \sf\longmapsto 77[/tex]

Answer:

Step-by-step explanation:

2.50

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

If Nancy has to buy an item that cost $30 with a 5% off and Ninda has to buy an item that cost $25 with a 10% off.

The difference between individual pay is $6.

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Nancy:

Coupon = 5% off

Cost of the purchase = $30

Amount to pay:

= 30 - (5/100) x 30

= 30 - 30/20

= 30 - 1.5

= $28.5

Linda:

Coupon = 10% off

Cost of the purchase = $25

Amount to pay:

= 25 - (10/100) x 25

= 25 - 2.5

= $22.5

The difference between individual pay:

= 28.5 - 22.5

= $6

Thus

The difference between individual pay is $6.

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Answer:

1 and 2 are not polyhedrons, as a circle has infinite sides

1. cone, 1 vertex

2. sphere, nothing

3. pentagonal prism?

wait but can't every face be a base???

anyway 7 faces, 10 vertices

4. triangular prism

5 faces, 6 vertices

Step-by-step explanation:

We have given the figure

We have to determine whether each solid is a polyhedron.

Then identify the solid.

If it is a polyhedron, name the bases, and faces.

edges, and vertices.

A vertex is a point of where the first derivative of curvature is zero. This is typically a local maximum or minimum of curvature, and some authors define a vertex to be more specifically a local extremum of curvature.

1 and 2 are not polyhedrons, as a circle has infinite sides

1. cone, 1 vertex

2. sphere, nothing

3. pentagonal prism

anyway 7 faces, 10 vertices

4. triangular prism

5. faces, 6 vertices

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Answer:

15

Step-by-step explanation:

If I am not mistaken, since n is 6 you would replace n with 6 so it would be 6+3+6= 15.

I hope this helps :)

Answer:

 KK

Step-by-step explanation:

Answer is 10.

Step-by-step explanation: