I need help with question 6, I've included the prior answers from questions 1, 2 and 3 to help you. I've also included what the previous questions were so you have some context of the situation. Although, I think you only need the answers from part C ( which is the graph I've including) to answer question 6

Answer:

Step-by-step explanation:

Your equation has two complex roots, a=-3/4+sqrt(23)/4*i and b=-3/4-sqrt(23)/4*i. Calculate (x-a³/b³)*(x-b³/a³) and simplify it to get that expression. It will be a bit tedious, but the result is quite nice.

a³/b³=1001/1024+45*sqrt(23)/1024*i

b³/a³=1001/1024-45*sqrt(23)/1024*i

Notice that these are complex conjugates (which isn’t surprising, because a and b were complex conjugates). That’s why the result (x-a³/b³)*(x-b³/a³) will be a polynomial with real coefficients!

If you have complex conjugate roots c+di and c-di, you always get (x-(c+di))*(x-(c-di))=x²-2cx+c²+d², where c and d are real numbers.

It is -2c=-2*1001/1024=-1001/512, and

c²+d²=(1001/1024)²+(45*sqrt(23)/1024)²=1048576/1048576=1.

Answer:

13 cm

Step-by-step explanation:

You can use the pythagorean theorem to solve this problem. The pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] where and b are the legs of a right triangle and c is the hypotenuse.

In the problem, we are given two legs, 12 and 5, so we can substitute them in for a and b and solve from there:

[tex]5^2+12^2=c^2[/tex]

[tex]25+144=c^2[/tex]

[tex]c^2=169[/tex]

[tex]c=13[/tex]

The missing side is 13 cm long

The division equation that represents number of 3/8 in 5/4 is 10/3 = x.

Given,

Fractions : 3/8 and 5/4

We have to find a division equation for number of 3/8 in 5/4

Number of 3/8 in 5/4 = x

Now,

Number of a in b = b/a

So here,

Number of 3/8 in 5/4, x = 5/4 / 3/8

Number of 3/8 in 5/4, x = 5/ 3/2

Number of 3/8 in 5/4, x = 5 × 2 / 3

Number of 3/8 in 5/4, x = 10/3

That is,

The division equation that represents number of 3/8 in 5/4 is 10/3 = x.

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From the given sequence, it is found that:

a) It is a geometric sequence, as the ratio between consecutive terms is the same.

b) Station 5 will be completed in 48 minutes.

c) Station 9 will be completed in 768 minutes.

In a geometric sequence, the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by the following rule:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

In the context of this problem, the ratio between consecutive terms is given by:

r = 24/12 = 12/6 = 6/3 = 2.

Hence it is a geometric sequence.

Applying the recursive formula, the time for Station 5 is the time for Station 4 multiplied by the common ratio of 2, hence:

24 x 2 = 48 minutes.

The first term of the sequence is of 3, hence the explicit formula is given by:

[tex]a_n = 3(2)^{n-1}[/tex]

Hence the time for the 9th station, in minutes, is given as follows:

[tex]a_9 = 3(2)^{8} = 768[/tex]

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Answer: 89%

[tex]\frac{0.89}{1}*\frac{100}{100} = \frac{89}{100}[/tex]

Answer:

92 public transit

23 bike

Step-by-step explanation:

460 / 5 = 92

460 / 20 = 23

Answer:

x=27

Step-by-step explanation:

Answer:

800000

Step-by-step explanation:

(1 x 10^1) = 10

(8 x 10^4) = 80000

10 x 80000 = 800000

Answer:

$142.80

Step-by-step explanation:

smarts

Answer:

solving the bracket

x×x = x²

x×-4= -4x

3×x= 3x

3×-4= -12

x²-x-12=0

y < 2

can't be y <= 2 or y<=1 because the dot is open meaning the point is not included.

the range is talking about the y value, the point is at y = 2. The graph is also negative; therefore, range will be anything less than y = 2

Answer:

it should be in the ratio of 3:4

Step-by-step explanation:

100w= 75f

w/f = 75/100

 = 3/4

 = 3:4

Answer:

A = 127.251 cm²

Step-by-step explanation:

the area (A) of a circle is calculated as

A = πr² ( where r is the radius )

the area (A) of a semicircle is then

A = [tex]\frac{1}{2}[/tex] πr²

given diameter = 18 then r = 18 ÷ 2 = 9 cm , so

A = 0.5 × 3.142 × 9² = 0.5 × 3.142 × 81 = 127.251 cm²

Using an arithmetic sequence, the number of design that the artist should use is:

b. Design 6.

In an arithmetic sequence, the difference between consecutive terms is constant and is called common difference d.

The nth term of an arithmetic sequence is given by the rule presented as follows:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term of the sequence.

The sequence for the number of circles is:

(4, 6, 8, ...)

Hence the common difference is given by:

d = 8 - 6 = 6 - 4 = 2.

Then the rule for the nth term is:

[tex]a_n = 4 + 2(n - 1)[/tex]

As the first term is of 4.

The maximum number is of 15 shaded circles, hence:

4 + 2(n - 1) ≤ 15

4 + 2n - 2 ≤ 15

2 + 2n ≤ 15

2n ≤ 13

x ≤ 6.5.

Hence the maximum number is of 6, meaning that Design 6 is chosen, given by option b.

The complete problem is given by the image at the end of the answer.

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Sentence (A) "to solve for a different indicated variable" best describes why we might want to rewrite a literal equation.

So, as in the description, it is given that A literal equation is one that is mostly made up of letters.

Therefore, sentence (A) "to solve for a different indicated variable" best describes why we might want to rewrite a literal equation.

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The correct question is given below:

Which best describes why you might want to rewrite a literal equation?

(A) To solve for a different indicated variable.

(B) To solve for the variable x.

(C) To solve for a different number.

(D) To solve for the variable y.

The probability that none of the employees in the sample work at the plant in hawai is 0.0112

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

PH= 20/60 = 1/3

P(T) = 2/3

It is hypergeometric distribution

P(X=k)={\frac {{\binom {K}{k}}{\binom {N-K}{n-k}}}{\binom {N}{n}}},

where

N = 60

K = 20 for Hawai; 40 for Texas

n = 10

P(X=0) = 0.0112

Hence The probability that none of the employees in the sample work at the plant in hawai is 0.0112

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not to intrude but is that big ideas math?

if the two trains are miles apart after hours, then  the rate of the westbound train is 79 miles per hour

two trains leave the station at the same time, one heading west and the other east.

the westbound train travels miles per hour slower than the eastbound train. if the two trains are miles apart after hours,

what is the rate of the westbound train?

Allow the westbound train to be "w" and the eastbound train to be "e". We can make the following equation:

4 (e + (e - 12)) = 680

4 (2e + 12) = 680

8e - 48 = 680

8e = 728

e = 91 mph

e - 12 = w

91 - 12 = w

79 = w

Therefore, the westbound train travels at 79 miles per hour.

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The equation so that y is a function of x is y = [tex]\frac{-1}{2}[/tex]x + [tex]\frac{5}{2}[/tex].

A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign. Like this: 2x - 4 Equals 2. In the above example, the variable x exists. Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics. Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.

Given Data

Function

8x-5x+21 = 36-6y

6y = 36 - 21 - 8x +5x

6y = -3x + 15

y = [tex]\frac{-1}{2}[/tex]x + [tex]\frac{5}{2}[/tex]

The equation so that y is a function of x is y = [tex]\frac{-1}{2}[/tex]x + [tex]\frac{5}{2}[/tex]

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Answer:

x: (40,0)

y:(0,30)

Step-by-step explanation:

hope this helped

have a good day :)

We can represent the length in Zach's car model by x

Since we have been given that Ginny's car is 2 more than 3 times the length of Zach's car, then we can get the expression as follow

Therefore,

Ginny's model will be 2 + 3x

Next, we are told that the sum of the lengths of both cars is 30 inches

Then

Therefore,

The answer is

Thus, the answer is Option B

The number of distance in feet the driver travel in 52 seconds is 216 feet.

The race car driver travels 34 feet in the first second of a race.

The driver travels 3.5 additional feet each subsequent second.

The number of feet the driver travel in 52 seconds can be solved as follows:

Therefore,

the distance travel = 34 + 3.5x

where

Therefore,

the distance travel  = 34 + 3.5(52)

the distance travel  = 34 + 182

the distance travel  = 216 feet

Therefore, if the driver travels 34 feet in the first seconds of the race and travels an additional 3.5 feet each subsequent second, the number of distance in feet the driver will travel in 52 seconds is 216 feet.

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Answer:

16

Step-by-step explanation:

4/5=0.8

20*0.8=16

Answer:

y = 14

Step-by-step explanation:

2y - 16 = 12

add 16 to both sides:

2y - 16 + 16 = 12 + 16

2y = 28

divide both sides by 2:

2y/2 = 28/2

y = 14

Answer: y = 14 is the solution.

Answer:

5

Step-by-step explanation:

155-18=137

137/24=5.70833333

5 people are able to join max

Probability is the quantitative measure of the likelihood of the occurrence of an event.

It is mathematically expressed as:

We can decide to call the set of numbers below 7 "A".

A = {1, 2, 3, 4, 5, 6}

|A| = 6

We call the universal set, the set containing all the numbers rollable "U"

|U| = 12

Our probability is therefore:

Answer: 3a

Step-by-step explanation: 4a - 1a = 3a

The constant proportionality is 3

What is Proportionality Constant ?

The proportionality constant is the ratio between two variables that varies directly . For directly proportional variables, their ratio is always a constant and this constant is the proportionality constant.

Now, We have the equation is:

y = 3xy

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k = y/x  or y = kx

To get the constant of proportionality,

we will derive both sides of the equation by x.

y/x = 3x/x

y/x = 3

Hence, The constant proportionality is 3

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If the number were written in scientific notation, the exponent will be -2.

Scientific notation is a method of expressing numbers that are either too large or too little to be represented in decimal form. In the United Kingdom, it is known as scientific form, standard index form, or standard form.

The number of times a number is multiplied by itself is referred to as its exponent.

In this case, the mass of a textbook is approximately 0.0165 metric tons. It should be noted that this will be 1.65 × 10^-2. The exponent is -2.

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