which pair represents the same complex number ?

[tex]1\text{cm}=1\cdot10^{-2}\text{m}=10^{-2}\text{m}[/tex]

Answer:

Step-by-step explanation:

1 cm = 10 mm = 0.01 m = 0.00001 km

Answer:

Height 356: 12816 cm3

Height 6: 216 cm3

Height 5: 180 cm3

Height 3: 108 cm3

Step-by-step explanation:

base * height = volume

Answer:

[tex]4[/tex]

Step-by-step explanation:

To find the opposite of the opposite, multiply the given number by -1 twice, or just 1 since [tex]-1*-1=1[/tex].

[tex]4*-1*-1=4[/tex] or [tex]4*1=4[/tex]

The opposite of a number is its additive inverse. Therefore, the opposite of the opposite of a given number will always be the original number itself. In this instance, the opposite of the opposite of 4 is 4.

The question asks for the opposite of the opposite of a given number. In mathematics, the 'opposite' of a number is its additive inverse. If the original number is positive, its opposite is the same number as a negative. Vice versa, if the original number is negative, its opposite would be positive. For example, the opposite of 4 is -4 and the opposite of -4 is 4.

So let's apply this concept to the given number, which is 4. The opposite of 4 is -4. Now, the opposite of -4 is 4. Hence, the opposite of the opposite of 4 is 4.

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Answer:

B

Step-by-step explanation:

The input value is the x value, and the output value is the y value.

You know y = 5, so you can plug it into the function to find the input:

y = x - 3         Plug in 5 for y

5 = x - 3      Add 3 on both sides

5 + 3 = x - 3 + 3

8 = x

Answer:

8

Step-by-step explanation:

y= x -3

to get the Anwer I got i Subtracted

Because the output value is supposed to be five so?

5= x-3

Well  2 does get 5 if you add 2+ 3 together!

but if you subtract 3 -2 you get 1..

and 5 - 3 = 2 not 5

and adding 8 + 3 is 11 but subtracting it is 5!

which is

5= 8 - 3

Answer:

[tex]\left[\begin{array}{cc}0&-1\\-1&0\\-1&-1\end{array}\right][/tex]

Step-by-step explanation:

In this question we have to subtract the corresponding entries of column of matrix 1 and the matrix 2 corresponding entries

[tex]=\left[\begin{array}{cc}-1&0\\1&-2\\1&3\end{array}\right]-\left[\begin{array}{cc}-1&1\\2&-2\\2&4\end{array}\right] \\=\left[\begin{array}{cc}-1-(-1)&0-1\\1-2&-2-(-2)\\1-2&3-4\end{array}\right]\\=\left[\begin{array}{cc}-1+1&-1\\-1&-2+2\\-1&-1\end{array}\right]\\=\left[\begin{array}{cc}0&-1\\-1&0\\-1&-1\end{array}\right][/tex]

Answer:

Minimum 13

First quartile 16

Step-by-step explanation:

Rewrite the sample 20 70 13 15 23 17 40 51 in ascending order:

13  15  17  20  23  40  51  70

The minimum is 13.

The median is the middle number

13  15  17  20  23  40  51  70

The middle number between 20 and 23 is

[tex]\dfrac{20+23}{2}=21.5[/tex]

Consider first half of the sample

13  15  17  20

The first quartile is the middle number of this part. The middle number of

13  15  17  20

is

[tex]\dfrac{15+17}{2}=16[/tex]

The answer is C. X^2-6x+9

Answer:

C. [tex]x^2-6x+9[/tex]

Step-by-step explanation:

We have the expression [tex](x-3)^2[/tex] we can rewrite it as:

[tex](x-3)^2=(x-3)(x-3)[/tex] and solve it with distributive property or we can use the formula to multiply a binomial by itself. The formula is:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

or

[tex](a-b)^2=a^2-2ab+b^2[/tex]

Then:

[tex](x-3)^2=x^2-2.x.3+3^2\\(x-3)^2=x^2-6x+9[/tex]

The correct option is C. [tex]x^2-6x+9[/tex]

Answer:

B

Step-by-step explanation:

120+4x-12=180, 4x+108=180,4x=72, x=18

4x-12=120

4x-12+12= 120+12

4x= 132

divide by 4 for 4x and 132

4x/4= 132/4

x= 33

check answer by using substitution method

4x-12=120

4(33)-12= 120

132-12= 120

120= 120

Answer is x= 33 (D.)

Answer:

[tex]x=-\frac{3}{5}[/tex]

Step-by-step explanation:

[tex]-4(x+1)-3=(x-4) \\ \\ -4x-4-3=x-4 \\ \\ -4x-7=x-4 \\ \\ -7=5x-4 \\ \\ 5x=-3 \\ \\ x=-\frac{3}{5}[/tex]

- 4 ( x + 1) - 3 = ( x - 4)

    2. Take away the parenthesis at the end

    3. Combine like terms

    4.  Add 4x to each side

    5. Add 4 to each side

    6.  Divide

Answer:

[tex]\large\boxed{7c^2d-7c+4d-10}[/tex]

Step-by-step explanation:

[tex]5c^2d-4c+3d-3+2c^2d-3c+d-7\qquad\text{combine like terms}\\\\=(5c^2d+2c^2d)+(-4c-3c)+(3d+d)+(-3-7)\\\\=7c^2d-7c+4d-10[/tex]

Answer:

I think the awnser should be a.

Step-by-step explanation:

This is because people usally find interests in things that percieve them. Since I am in freshmen I can tell how you feel. If you want to be a leader make choices that affect people personally, and don't make them feel bad.

Answer:

A is the answer.

Step-by-step explanation:

If a high school sophomore randomly declares himself a leader to his classmates, he will have difficulty finding people who will listen to him.

This is because - People are less likely to obey people that are just like themselves.

People are more likely to obey someone who represents authority. This cannot be the answer as the kid has not been declared authority by the school or he is not elected by the students. A random kid self electing himself will not be taken seriously by the kids.

So, option A can be the answer.

Answer:

x = -1

y = 6

Step-by-step explanation:

Equation (1) : -4x + 2y = 8

Equation (2) : 4x + 4y = 28​

(1) + (2):

6y = 36

y = 6

Sub y = 6 into (1):

-4x + 2(6) = 8

-4x + 12 = 8

-4x = -4

x = -1

Answer:384ft^3

Step-by-step explanation:

4x4=16x6=96x4=384^3

Answer:

D) 384

Step-by-step explanation:

i just took the test

Answer:

Step-by-step explanation:

The zeros:

(x + 2)(x - 4) = 0 ⇔ x + 2 = 0 or x - 4 = 0

x + 2 = 0          subtract 2 from both sides

x = -2

x - 4 = 0          add 4 to both sides

x = 4

Answer:

(x + 7) or (x - 2)

Step-by-step explanation:

Given

x² + 5x - 14

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)

The factors are + 7 and - 2, since

7 × - 2 = - 14 and 7 - 2 = + 5, hence

x² + 5x - 14 = (x + 7)(x - 2)

Answer:

[tex]\large\boxed{\dfrac{4}{\sqrt{10}-\sqrt6}=\sqrt{10}+\sqrt6}[/tex]

Step-by-step explanation:

[tex]\dfrac{4}{\sqrt{10}-\sqrt6}\\\\\text{use}\ (a-b)(a+b)=a^2-b^2\ \text{and}\ (\sqrt{a})^2=a\\\\=\dfrac{4}{\sqrt{10}-\sqrt6}\cdot\dfrac{\sqrt{10}+\sqrt6}{\sqrt{10}+\sqrt6}=\dfrac{4(\sqrt{10}+\sqrt6)}{(\sqrt{10})^2-(\sqrt6)^2}=\dfrac{4(\sqrt{10}+\sqrt6)}{10-6}\\\\=\dfrac{4(\sqrt{10}+\sqrt6)}{4}=\sqrt{10}+\sqrt6[/tex]

The rationalization of the given expression will be equal to

[tex]\dfrac{4}{\sqrt{10}-\sqrt{6}}=\sqrt{10}+\sqrt{6}[/tex]

Rationalization is a procedure used in elementary mathematics to remove the irrational number from the denominator.

The rationalization of the given fraction will be :-

[tex]=\dfrac{4}{\sqrt{10}-\sqrt{6}}\times \dfrac{\sqrt{10}+\sqrt{6}}{\sqrt{10}+\sqrt{6}}[/tex]

[tex]\dfrac{4\sqrt{10}+\sqrt{6}}{\sqrt{10}^2-\sqrt{6}^2}=\dfrac{4\sqrt{10}+\sqrt{6}}{10-6}[/tex]

[tex]\dfrac{4\sqrt{10}+\sqrt{6}}{\sqrt{10}^2-\sqrt{6}^2} =\dfrac{4\sqrt{10}+\sqrt{6}}{4}=\sqrt{10}+\sqrt{6}[/tex]

Hence rationalization of the given expression will be equal to

[tex]\dfrac{4}{\sqrt{10}-\sqrt{6}}=\sqrt{10}+\sqrt{6}[/tex]

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Answer:

Herbivore

Step-by-step explanation:

The mouse isnt a producer because he cannot make his own food

The mouse isnt a carnivore because he isnt eating meat

The mouse isnt a decomposer because he isnt breaking down dead or decaying organisms

Herbivores are animals that eat vegetables or greens/plants but not meat.

Answer:

herbivore

Step-by-step explanation:

[tex]3x \geqslant 23 - 5 \\ 3x \geqslant 18 \\ x \geqslant 6 \\[/tex]

Answer:      x≥ 6

Step-by-step explanation:

To solve this inequality

3x - 23 ≥ -5

First, what you need to do is to add 23 to both-side of the inequality, Hence;

3x  -23  +  23  ≥ -5 + 23

(-23 + 23  = 0,   also  -5 +  23  = 18)

3x   ≥   18

To get the value of x, we need to divide both-side of the inequality by 3

3x /  3       ≥   18/3

(On the left hand side of the equation, the three at the numerator will cancel out that of the denominator, then on the right hand side of the equation, 3 will divide 18 which will give 6)

x ≥    6

Answer:

this gives you 144.5cm^2 and that is your answer

I hope my answer has come to your helpanswerStep-by-step explanation:

The area of the given figure is Option(C) 144.5 square centimeter.

In the diagram given aside, two shapes are mentioned one is a rectangle and other is a right-angled triangle.

The area of the rectangle is given by -  length*breadth

The area of the right-angled triangle is given by -  1/2*base*height

In the given figure, length = 13cm , breadth = 9cm , base = 11cm and height = 5cm

⇒ Total area = length*breadth + 1/2*base*height

⇒ Total area = 13*9 + 1/2*11*5 square centimeter

⇒ Total area = 117 + 27.5 square centimeter

∴  Total area = 144.5 square centimeter

Therefore, the area of the given figure is Option(C) 144.5 square centimeter.

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Answer:

Radius of the given circle is r = 2.

Step-by-step explanation:

Given equation of the circle is [tex]x^2 + y^2 = 4[/tex].

Now we need to find the radius of the given circle [tex]x^2 + y^2 = 4[/tex].

To find that let's compare with the formula of the circle with is [tex]x^2 + y^2 = r^2[/tex], where r is the radius.

We get [tex]r^2 = 4[/tex]

take square root of both sides.

[tex]r=2[/tex]

Hence radius of the given circle is r = 2.

ANSWER

The radius is 2

EXPLANATION

The given equation of the circle is

[tex] {x}^{2} + {y}^{2} = 4[/tex]

.This is the same as

[tex]{x}^{2} + {y}^{2} = {2}^{2} [/tex]

We campare to the equation of the circle with center at the origin.

[tex]{x}^{2} + {y}^{2} = {r}^{2} [/tex]

We have

[tex]r = 2[/tex]

.Hence the radius of the circle is 2

Answer: 24 pounds

weight on moon=(.16)(weight on earth)

weight on moon= (.16)(150)=24

Answer:

First Iterate: 11-2i

Second Iterate: 25-6i

Third Iterate: 53-14i

Step-by-step explanation:

Given:

f(z)=2z+(3-2i)

And  

z_0=4

For the first iterate we have to put the value of z0 into the function in place of z.

First Iterate:

z_1=f(z_0 )=2z_0+(3-2i)

=2(4)+(3-2i)

=8+3-2i

=11-2i

Second Iterate:

For the second iterate we have to put the value of z1 into the function in place of z.

z_2=f(z_1 )=2z_1+(3-2i)

=2(11-2i)+(3-2i)

=22-4i+3-2i

=25-6i

Third Iterate:

For the third iterate we have to put the value of z2 into the function in place of z.

z_3=f(z_2 )=2z_2+(3-2i)

=2(25-6i)+(3-2i)

=50-12i+3-2i

=53-14i

Answer:d

Step-by-step explanation:

Cuz

hey so here ya go, ? = 2500 :)

Answer:

56.25

Step-by-step explanation:

A simple way to answer questions like these is to

Step 1: Multiply 15 and 375. This equals = 5625

Step 2: divide 100 and 5625. This equals = 56.25

Answer:

7 inches just took test

Step-by-step explanation:

The rise, r, for each stair is 7 inches.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

From the given figure the  length of each stair is 11 inches.

We have to find the rise of each stair.

From the pythagoras theorem we find the value of r.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

11²+r²=13²

121+r²=169

r²=169-121

r²=48

Take square root on both sides

r=6.9

r= 7 inches.

Hence, the rise, r, for each stair is 7 inches.

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NO!

3+3 > 9

This does not form a triangle.

it is the second one

Answer: Hypothesis: Two lines intersect at right angles.

Conclusion: The two lines are not perpendicular.

Step-by-step explanation:

A conditional statement is written as "if p then q" , where symbol 'p' represents the hypothesis and symbol 'q' represents the conclusion.

For example : If a coin has two heads , then the coin is biased.

here , Hypothesis : a coin has two heads

Conclusion : coin is biased

Given conditional statement : If two lines intersect at right angles, then the two lines are perpendicular.

Here, Hypothesis: Two lines intersect at right angles.

Conclusion: The two lines are not perpendicular.

Answer: 1/4

Step-by-step explanation: 1/4 x 1/4= 1/16

Answer:

66.6%

Step-by-step explanation:

Answer:

If the two chords are congruent, then they must be equidistant from the centre of the circle. 

Ans: D

The diagram attached below shows that if two congruent chords are in a given circle, a statement that will be true is:

Facts about congruent chords in a given circle:

The diagram attached below therefore shows that if two congruent chords are in a given circle, a statement that will be true is:

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