pls help!! this is #9 btw

Answer:  a) x = {-3, 3, -3i, 3i}

               b) x = {-√5, √5}

               c) x = {-√3, √3, -i√2, i√2}

Step-by-step explanation:

[tex]a)\ x^4-81=0\\\\(x^2-9)(x^2+9)=0\\\\x^2=9\quad and\quad x^2=-9\\\\x=\pm 3\quad and\quad x=\pm3i[/tex]

[tex]b)\ x^4+10x^2+25=0\\\\(x^2+5)^2=0\\\\x^2=-5\\\\x=\pm i\sqrt5[/tex]

[tex]c)\ x^4-x^2-6=0\\\\(x^2-3)(x^2+2)=0\\\\x^2-3=0\quad and\quad x^2+2=0\\\\x^2=3\qquad and\quad x^2=-2\\\\x=\pm\sqrt3\quad and\quad x=\pm i\sqrt2[/tex]

Answer: 2 1/4

Step-by-step explanation:

Convert both to same denominators and mixed numbers

1 1/2 = 1 2/4 = 6/4

3/4 = 3/4

3/4*6/4 = 18/16

Simplify: 9/4 = 2 1/4

Answer:

i cant see the picture

Step-by-step explanation:

Answer:

Step-by-step explanation:

"y/3"  is the symbolic representation of "an unknown number, y, divided by 3."

Note that all terms in 8xy − 9x2 y − 5x + 6, except for the 6, involve a variable, either x or y.  6 is the constant term.

I think the answer is C because the question says in one row there are 100 seats so with a total of 100 seats there is a row.

Answer:

D

Step-by-step explanation:

The answer is D because 100 divided by 10 = 10. Hope this helps! ☺

Answer:

Option D. (6, 2)

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two points is equal to

[tex]M(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

substitute

[tex]M(\frac{3+9}{2},\frac{-1+5}{2})[/tex]

[tex]M(\frac{12}{2},\frac{4}{2})[/tex]

[tex]M(6,2)[/tex]

Answer:

x = -14

Step-by-step explanation:

x/2 = -7

Multiply each side by 2 to get the x by itself

x = -7 * 2

x = -14

The answer would be x= -14

Answer:

The correct one is b nice you chose the right one!

Step-by-step explanation:

The answer is 3 units up

The two little lines through the two sides of the triangle mean that they are the same length.

When two sides of a triangle are the same, the two lower inside angles are also the same.

Angle A is given as 50 degrees, so angle C is also 50 degrees.

The sum of the three inside angles need to equal 180 degrees, so angle B would equal 180 - 50 - 50 = 80 degrees.

Angle B = 80

Angle C = 50

Answer: Last option

Step-by-step explanation:

1. According to the properties of exponents, you have that:

[tex]a^{-n}=\frac{1}{a^n}\\\\(a^n)^m=a^{mn}[/tex]

2. Then, he must simplify the expression as following:

[tex](4z^8)^{-3}={4^{-3}z^{8(-3)}=\frac{1}{64z^{24}}[/tex]

3. Therefore, as you can see, should have also applied the negative exponent to 4 to get [tex](4z^8)^{-3}={4^{-3}z^{8(-3)}=\frac{1}{64z^{24}}[/tex]

Answer:

The correct answer option is He should have also applied the exponent -3 to 4 to get [tex]4^{-3}z^{8 \cdot(-3)} = 4^{-3}z^{-24} = \frac{1}{64z^{24}}[/tex].

Step-by-step explanation:

The following expression was to be simplified by Mario:

[tex] (4z^8)^-3 [/tex]

Given this expression, we need to apply this rule on it in order to simplify:

[tex] (a b)^m = a^m \cdot b^m [/tex]

So we would get:

[tex] (4z^8)^-3 [/tex]

[tex]4^{-3} \cdot (z^8)^{-3}[/tex]

[tex]\frac{1}{4^3} \cdot z^{-24}[/tex]

[tex]\frac{1}{64z^{24}}[/tex]

This would be the right simplification for the given expression but by looking at Mario's work shown, we can conclude that:

He should have also applied the exponent -3 to 4 to get [tex]4^{-3}z^{8 \cdot(-3)} = 4^{-3}z^{-24} = \frac{1}{64z^{24}}[/tex].

Answer:

[tex]h=(x^{4}+4x^{3}+8x+4)/(x^{3}+3x^{2}+8)[/tex]

Step-by-step explanation:

Let

h------> the height of the prism

we know that

The volume of the prism is equal to

[tex]V=Bh[/tex]

where

B is the area of the base

h is the height of the prism

In this problem we have

[tex]V=x^{4}+4x^{3}+8x+4[/tex]

[tex]B=x^{3}+3x^{2}+8[/tex]

substitute and solve for h

[tex]x^{4}+4x^{3}+8x+4=(x^{3}+3x^{2}+8)h[/tex]

[tex]h=(x^{4}+4x^{3}+8x+4)/(x^{3}+3x^{2}+8)[/tex]

Answer:

The option B (4 5/8,-2 3/4)  = (4.6 , -2.75) will be the coordinates belonging in the box.

Step-by-step explanation:

A.(4 3/4,-3 3/4) = (4.75,-3.75)

B.(4 5/8,-2 3/4)  = (4.6 , -2.75)

C.(4 1/4,-5 1/2)  = (4.25, -5.5)

D.(4 1/8,-2 3/5) = (4.125, -2.6)

The first point of line segment is: (5.5, -4.25)

second will be (4.75,-3.75)

third will be (4.6 , -2.75)

fourth will be (4.125, -2.6)

and fifth is  (3.75,-1.25)

The option C is not correct i.e not included in line segment.

The option B will be the coordinates belonging in the box.

Assuming 0x6A is given in base 16, first convert [tex]152_b[/tex] and [tex]6A_{16}[/tex] to a common base, say base 10:

[tex]152_b=1\cdot b^2+5\cdot b^1+2\cdot b^0=(b^2+5b+2)_{10}[/tex]

[tex]6A_{16}=6\cdot16^1+10\cdot16^0=106_{10}[/tex]

Then

[tex]b^2+5b+2=106[/tex]

[tex]b^2+5b-104=(b-13)(b+8)=0[/tex]

[tex]\implies b=13[/tex]

Answer:

The value of b is, 8

Step-by-step explanation:

Determine the value of b;

Given:

[tex](152)_b = 0x6A[/tex]             ....[1]

Since, 0x6A represents the hexadecimal form.

First convert this hexadecimal form into decimal form:

[tex](6A) = (6 \times 16^1)+(A \times 16^0) = (96)+(10 \times 1) = 96+10 = 106[/tex]

⇒[tex]0x6A = 106[/tex] (decimal form)

Now we have to convert this decimal form into octal

8  |  106

8   |  13   | 2

     |   1    | 5

          1

Then, the octal form we get, [tex](152)_8[/tex]

Substitute these in [1] we have;

[tex](152)_b=(152)_8[/tex]  

On comparing both sides we get;

b = 8

Therefore, the value of b is, 8

Answer: $2

Step-by-step explanation: this is only if everything is the same price.

Answer:

960

Step-by-step explanation:

10 x 8 x 4 x 3

Hope This Helped

Regards Jaygtgajm11

Disclaimer: The number of cities in Asia will be 8 and not 888.

Elyse can choose from 960 different combinations of cities.

The different ways in which objects from a set can be picked, often without replacement, to produce subsets are known as permutations and combinations. When the order of selection is a factor, this selection of subsets is termed a permutation; when order is not a factor, it is called a combination.

We are given 4 continents, with a number of cities to choose from for Elyse to visit.

The table is like this:

Continent                          Number of cities

Europe                                           10

Asia                                                8

Africa                                              4

Australia                                         3

We use permutations and combinations to find the number of combinations Elyse will have to choose from.

We can say that for every 10 cities in Europe, she can choose any of the 8 cities in Asia. Similarly, for every 8 cities in Asia, she can choose any of the 4 cities in Africa. And similar is the case for Africa and Australia.

∴ Elyse can choose from a combination of 10*8*4*3 cities,

or, Elyse can choose from a combination of 960 cities.

Learn more about permutations and combinations at

https://brainly.com/question/4658834

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♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ 2x-3y=3

First:

Add -2y to both sides

-3y=-2x+3

Next:

Divide both sides by -3

y= 2/3x - 1

The answer

y= 2/3x - 1

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

Answer:

The sides length x of each square windowpane is [tex]10\ in[/tex]

Step-by-step explanation:

we know that

[tex]924\ in^{2}=(6+3x+6)(6+x+6)\\ \\924=(12+3x)(12+x)\\ \\924=144+12x+36x+3x^{2}\\ \\ 3x^{2}+48x- 780=0[/tex]

Solve the quadratic equation

using a graphing tool

The solution is [tex]x=10\ in[/tex]

see the attached figure

Answer:

10 inches is the side length of each square windowpane.

Step-by-step explanation:

Length of the single window plane = x

Width of the single window plane = x

On combining all the windows pane ,length becomes , l= 3x

On combining all the windows pane ,width becomes , b= x

Length of the frame = L = 6 + 3x+ 6 = 12 + 3x

Width of the frame = B = 6 + x+ 6 = 12 + x

Area of the frame, A = L × B = [tex](12+3x)\times (12+x)[/tex]

Given sum of combined area of the 3 windowpanes and frame = [tex]924 inch^2[/tex]

[tex]a + A=924[/tex]

[tex](12+3x)\times (12+x)=924[/tex]

[tex]144+48x+3x^2=924[/tex]

[tex]3x^2+48x-780=[/tex]

[tex]x^2+16x-260=0[/tex]

[tex]x^2+26x-10x-260=0[/tex]

[tex]x(x+26)-10(x+26)=0[/tex]

[tex](x+260)(x-10)=0[/tex]

x = 10 (accept)

x  = -26 (reject)

10 inches is the side length of each square windowpane.

Answer:

x=4.5

Step-by-step explanation:

Answer:

[tex]x = 4.5[/tex]

Step-by-step explanation:

[tex]2x - 3 = 6 \\ 2x = 6 + 3 \\ 2x = 9 \\ \frac{2x}{2} = \frac{9}{2} \\ x = 4.5[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

No picture

Step-by-step explanation:

First one is #2

Second one is #1

I'm positive about this

Answer:

53

Step-by-step explanation:

median is right in the middle of the other numbers.

Answer:

The median is 80

Step-by-step explanation:

To find the median we should arrange the given data set in ascending or descending  order. If there are even number of items in the given data set we have to take the average of central terms.

To find the median

It is given a data set,

98, 102, 53, 80, 22

Arrange them in ascending order

22, 53, 80, 98, 102

To find the middle term, From the set of data we get median is 80

22, 53, 80, 98, 102

t=100

p=3000

t 1/2 = 20

Try inserting the numbers in the half-life formula.

Answer:

93.75 gm.

Step-by-step explanation:

We have been given that an element has half life of about 20 days. We are asked to find the amount of 3000 gm sample left after 100 days.

We will use half-life formula to solve our given problem.

[tex]A=a\cdot (\frac{1}{2})^{\frac{t}{h}}[/tex], where,

A = Amount left after t units of time,

t = Time,

a = Initial amount,

h = Half-life.

Upon substituting our given values in above formula, we will get:

[tex]A=3000\cdot (\frac{1}{2})^{\frac{100}{20}}[/tex]

[tex]A=3000\cdot (0.5)^{5}[/tex]

[tex]A=3000\cdot 0.03125[/tex]

[tex]A=93.75[/tex]

Therefore, 93.75 gm of sample is left after 100 days.

Divide the first number by the second number for each ratio:

A. 1 to 4 = 1/4 = 0.25 = 25%

B. 4 to 1 = 4/1 = 4 = 400%

C. 2 to 5 = 2/5 = 0.4 = 40%

The answer is C.

An equivalent ratio to 40% is 2 to 5, which is option C. The percentage is simplified by dividing it by the greatest common divisor to find its simplest ratio form.

To find a ratio equivalent to 40%, we first understand that percentages are a way of expressing a ratio where the second term is 100. Therefore, 40% is the same as saying 40 out of 100 or 40/100.

Next, we simplify this fraction to its lowest terms. Dividing both numerator and denominator by their greatest common divisor, which is 20 in this case, gives us 2/5. Thus, the ratio equivalent to 40% in its simplest form is 2 to 5, which corresponds to option C.

If we were to check the other options given, A (1 to 4) and B (4 to 1) are equivalent to 25% and 400% respectively, while D (5 to 2) is equivalent to 250%. Hence, these are not correct.

To illustrate the concept, let's consider an example. If the scale dimension is 4 cm, then to find the actual dimension using the proportion 1:2=4:x, we would cross-multiply to find x, which would be 8 cm, showing how ratios can be used to find corresponding values.

Answer:

Your question is the answer

Step-by-step explanation:

None of the terms can be simplified further

Answer:

Option A

Step-by-step explanation:

We are given that a height is labeled on the triangle in given figure.

We have to find the  that segment which shows the base that correspond to the given height of the triangle

We know that base is that side of triangle on which height is perpendicular.

In the given figure, Height is perpendicular to side A.

Therefore, side A represent the base of triangle.

Hence, line segments A shows base that corresponds to the given height of the triangle.

Option A is true.

Answer:

2.87

Step-by-step explanation:

2x^2-7=9

2x^2=9+7

2x^2/2=16/2

(square root)x^2=(square root)8

x=2.87

I used this method because I don't know any other method.

Answer:

Sample Response:  I would use the square root property of equality. Because there is no x term, I would just add and divide to get x^2 by itself.  Then I would take the square root.

2x^2 - 7 = 9

2x^2 - 7 + 7 = 9 + 7

2x^2 = 16

2x^2/2 = 16/2

x^2 = 8  (square root of 8 would be square root of 4*2 = 2*square root of 2

x = +/- 2*square root of 2

Answer:

Jadzia finished 80% of her homework.

Answer: ∠D.

Step-by-step explanation:

because they are in the same position (2nd letter placement)

If quadrilaterals CDEF ≅ MNPQ, then it follows that ∠N ≅ ∠D.

Hence ∠D is correct.

If CDEF and MNPQ are congruent,

Then it means they have the same shape and size.

In other words, all of their corresponding angles and sides are equal.

Therefore, if ∠C is congruent to ∠M,

∠D is congruent to ∠N,

∠E is congruent to ∠P, and

∠F is congruent to ∠Q.

This is because congruence is a relation of equality between two geometric figures.

So, if two triangles (or any other polygons) are congruent,

Then all of their corresponding angles and sides are equal.

Therefore, if CDEF ≅ MNPQ, then it follows that ∠N ≅ ∠D.

To learn more about quadrilaterals visit:

https://brainly.com/question/11037270

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Answer:

[tex]4-i[/tex]

Step-by-step explanation:

The distance of a complex number

[tex]z=a+bi[/tex]

from the origin is given by:

[tex]|z|=\sqrt{(a-0)^2+(b-0)^2}[/tex]

[tex]|z|=\sqrt{a^2+b^2}[/tex]

The length of  [tex]2+15i[/tex] is;

[tex]=\sqrt{2^2+15^2}[/tex]

[tex]=\sqrt{4+225}[/tex]

[tex]=\sqrt{229}[/tex]

The length of  [tex]17+i[/tex] is;

[tex]=\sqrt{17^2+1^2}[/tex]

[tex]=\sqrt{289+1}[/tex]

[tex]=\sqrt{290}[/tex]

The length of  [tex]20-3i[/tex] is;

[tex]=\sqrt{20^2+3^2}[/tex]

[tex]=\sqrt{400+9}[/tex]

[tex]=\sqrt{409}[/tex]

The length of  [tex]4-i[/tex] is;

[tex]=\sqrt{4^2+1^2}[/tex]

[tex]=\sqrt{16+1}[/tex]

[tex]=\sqrt{17}[/tex]

The correct choice is D