compare 5.9 and 152 using <, > or =

A polynomial that satisfies given conditions is:

P(x) = x³ - x² + 81x - 81

In this question, we need to find a polynomial that satisfies given conditions.

We have been given that -9i is a root of polynomial.

This means, the conjugate of -9i that is, 9i must be a root of polynomial p.

From given information we can say that the zeros of polynomial p(x) must be (x - 1), (x + 9i), and (x - 9i)

So, we get a polynomial p(x) = 0

(x - 1)(x + 9i)(x - 9i) = 0

(x - 1)(x² - (9i)²) = 0

(x - 1)(x² - (-81)) = 0

(x - 1)(x² + 81) = 0

x³ - x² + 81x - 81 = 0

Therefore, a polynomial that satisfies given conditions is:

P(x) = x³ - x² + 81x - 81

Learn more about the polynomial here:

https://brainly.com/question/14344049

#SPJ1

Answer: Area of triangle=30 cm²

Step-by-step explanation:

Let's name the triangle ABC.

Assuming these are the 3 sides of the triangle, and naming them a,b,c.

a=5 cm

b=13 cm

c=12 cm

Semi perimeter of the triangle ABC= s = (a+b+c)/2

s=(5+13+12)/2 =30/2=15.

Area of triangle ABC= √(s * (s-a)*(s-b)*(s-c)

                                  =  √(15*(15-5)*(15-13)*(15-12)

                                  =  √15*10*2*3

                                  = √150*6

                                  =√900

                                   =30 cm²

Area of triangle ABC = 30 cm².

Answer:

Step-by-step explanation:

divide by R

The size sample that should be taken so that at 95% confidence the margin of error will be 2 months or less is:47.0596.

Using this formula to find the sample size

n = z² × σ² / e²

Where,
n = sample size =?

z = z-score = 1.96

σ = Standard deviation = 7 months

e = Margin of error = 2 months or less

Let plug in the formula

n = (1.96²× 7²) /2²

n = 3.8416 × 49 / 4

n =47.0596

Therefore the sample size is 47.0596.

Learn more about sample size here:https://brainly.com/question/18763395

#SPJ1

Answer:

Step-by-step explanation:

Find the equation of p(x) using table.

We see it is a proportional relationship, therefore:

Conveyor belt2: p(x) = 62.8x

As we see 157.1 > 62.8 which means conveyor 1 belt is faster.

Answer:

The conveyor belt 1 is faster.

Step-by-step explanation:

Speed of conveyor belt 1,

→ m(x) = 157.1x

Now the speed of conveyor belt 2,

→ p(x) = x

→ p(125.6) = 2x || p(188.4) = 3x

→ x = 125.6/2 || x = 188.4/3

→ [ p(x) = 62.8 ] || [ p(x) = 62.8 ]

Then the fastest conveyor is,

→ m(x) = 157.1x > p(x) = 62.8

→ 157.1x > 62.8

→ Conveyor 1 > Conveyor 2

Hence, the conveyor belt 1 is faster.

Answer:

Domain: (-∞, +∞)

Range: [2, +∞)

Step-by-step explanation:

Domain is the "allowable x-values/inputs"

Range is the "possible y-values/outputs when the x-values in the domain are inputted".

From the graph, notice how each end of it extends infinitely to the left and to the right. This means that the domain is infinite and there are no restrictions. Writing it in interval location would look like this:

(-∞, +∞)

Also, notice how the y-values increase from the vertex but do not go below it. That suggests that the range is "lower-bounded" to the vertex, and increases infinitely. Writing it in interval location would look like this:

[2, +∞)

Answer: 13500%

Step-by-step explanation:

73+62=135

135 to make a percentage you would multiply 135 times 100=13500%

I think thats right

The value of x and y in the similar triangles are 10 and 12 respectively.

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

In other words, similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other

The triangles ABC and MPN are similar triangles.

Therefore,

∠A = ∠M

∠B = ∠P

∠C = ∠N

Hence, let's find x and y using the proportion as follows:

[tex]\frac{AB}{MP}=\frac{BC}{PN}=\frac{AC}{MN}[/tex]

Hence,

PN = y

MP = x

Therefore, let's find x

[tex]\frac{9}{6}=\frac{15}{x}[/tex]

cross multiply

9x = 90

x = 90 / 9

x = 10

Let's find y

[tex]\frac{9}{6}=\frac{18}{y}[/tex]

cross multiply

9y = 108

y = 108 / 9

y = 12

learn more on similar triangles here: https://brainly.com/question/12757954

#SPJ1

The number of additional red marbles to be added to the total 24 marbles present in the bag is 16 marbles.

What is Probability?

From the question, it is given that the,

Number of Red marbles = 8

Number of Yellow marbles = 9

Number of Green marbles = 7

So, the total number of marbles = 8 + 9 + 7 = 24

Let [tex]x[/tex] be the additional number of red marbles added to the bag.

The total number of red marbles after the addition of [tex]x[/tex] red marbles into the bag = [tex]8+x[/tex]

The total number of all marbles after the addition of [tex]x[/tex] red marbles into the bag = [tex]24+x[/tex]

The probability of randomly drawing a red marble is given as equal to [tex]\frac{3}{5}[/tex]

We know that, the probability of randomly drawing a red marble is equal to the ratio of the total number of red marbles to the total number of all marbles.

---> P(R) = n(R)/n(T)

Substituting the given values, we get

3/5 = 8+x / 24+x
---> 5(8+x) = 3(24+x)
---> 40 + 5x = 72+3x

Solving, we get

5x - 3x = 72 - 40
---> 2x = 32
---> x = 16

Therefore, the additional number of red marbles to be added to obtain the required probability is equal to 16.

To learn more about the probability from the given link

https://brainly.com/question/13604758

#SPJ1

The sub's regular selling price, if it represents a 20% markdown is $3.75

option D.

The precise value that corresponds to the unit price paid is represented by the cost price. In some stock market theories, this value is utilized to establish the value of stock holdings and is used as a key determinant of profitability. The precise value that corresponds to the unit price paid is represented by the cost price.

The amount a buyer pays for a good or service is known as the selling price. Depending on the price that consumers are prepared to pay, the seller is willing to take, and how competitive the price is in relation to other companies in the market, it may change.

Given,

ALGEBRA Diego's Subs is offering $0.75 off its foot-long meatball sub.

Then, C.P-S.P= 0.75

S.P-C.P= 0.75

And also given that it represents 20% mark down.

Then,

((C.P-S.P)/C.P)×100=% mark down

((C.P-S.P)/C.P)×100=20%

(0.75×100)/C.P=20

C.P=75/20

C.P=$3.75

Therefore, the sub's regular selling price is $3.75

So, the answer is option D

To know more about cost price and selling price, visit:

https://brainly.com/question/28017453

#SPJ1

Answer:

(-6,4)

Step-by-step explanation:

add the equations together to equal

2y=8

y=4

now solve for x

3x+10(4)=22

3x+40=22

3x=-18

x=-6

Answer:

(-6,4)

Step-by-step explanation:

add the equations together to equal

2y=8

y=4

now solve for x

3x+10(4)=22

3x+40=22

3x=-18

x=-6

The number of different codes available is 4500 unique codes

What is digit?
A positional numeral system uses a single symbol, such as "2," or a combination of symbols, such as "25," to represent numbers. This single symbol is known as a numerical digit. The word "digit" derives from the fact that ten fingers (Latin: digiti) on each hand correspond to the ten numeral symbols used in the base-10 system, or decimal digits (Old Latin: decem, meaning "ten"). The absolute value of the base determines how many different digits are necessary for a given numeral system with just an integer base. For instance, the binary system (base 2) only needs two digits, whereas the decimal system (base 10) necessitates ten digits (0 through 9). (0 and 1).

The digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

There are nine options because the first digit cannot be 0. (assuming 1 can be the first digit as well as all others)

There are 10 options for the second digit, third digit, fourth digit, and fifth digit.

4 digits must be odd, giving you 5 options (1,3,5,7,9)

9*10*10*5=4500 unique codes

Hence, there are 4500 unique codes available

To learn more about Combination click on the link

https://brainly.com/question/11732255

#SPJ1

Answer:

Step-by-step explanation:

4.75 x 32=152

2,456.75+152=2608.75

Answer:

2608.75

Step-by-step explanation:

4.75 x 32 = 152

2456.75 + 152 = 2608.75

Answer:

It is 120/529

Step-by-step explanation:

The steps are:
Step 1: When we divided, we change the dividing fraction into mutiplying fraction at the last fraction: 5/23 x 24/23
Step 2: We mutiply it on each row like 5 x 24 & 23 x 23
Step 3: When we finished with the answer, we put it like the order of the fraction: 120 & 529 so we get 120/529

Thats all the step by step explaination!


Please mark me brainliestttttttttttttttttttttttttttttttttttttttttttttttt !!!!!!!!!!!!!!!!!!!!!!!!11

The possible number is 10 which is a product of 2, 5, 10

LCM stands for "Least Common Multiple." The smallest multiple that two or more numbers share is defined as the least common multiple. It is also known as the Least Common Divisor (LCD). For example, LCM (4, 5) = 20. In this case, the LCM 20 is divisible by both 4 and 5, so 4 and 5 are referred to as the divisors of 20.

Given numbers 2, 5, 10

We have to find the number which is produced by the given numbers

Now we have to find the LCM of these numbers

LCM of 2, 5, 10

2 = 2 x 1

5= 5 x 1  

10 = 2 x 5

= 1x 2 x 5

= 10

The LCM of 2,5,10 is 10

Therefore 10 is the required number which is a product of 2, 5, 10

To learn more about LCM visit

https://brainly.com/question/24510622

#SPJ1

A equation of line with a slope of -7/16 passes through the point (-16, 7) is y = (-7/16)x

We know that the formula for the slope-point form of equation of line:

(y - y1) = m(x - x1)

Let (x1, y1) = (-16, 7)

and slope m = -7/16

Using above formula,

(y - 7) = (-7/16)(x - (-16))

y - 7 = (-7/16)(x + 16)

y = -7/16x - 7 + 7

y = (-7/16)x

This equation is slope-intercept form (y = mx + c) with slope -7/16 and y-intercept 0.

Therefore, a equation of line with a slope of -7/16 passes through the point (-16, 7) is y = (-7/16)x

Learn more about equation of line here:

https://brainly.com/question/21511618

#SPJ9

9664.9 is the  Blanche's balance be from Account 2 over 5.5 years

percentage, a relative value indicating hundredth parts of any quantity.

Given,

Blanche has recently inherited $7900, which she wants to deposit into a savings account. She has determined that her two best bets are an account that compounds semi-annually at an annual rate of 3.7%

an account that compounds daily at an annual rate of 3.9% (Account 2).

We need to find how much Blanche's balance be from Account 2 over 5.5 years

A = p(1 + r/n)nt

A = 7900(1 + 0.037/2)²ˣ⁵⁵

A ≈7900(1 + 0.0185)^11

A ≈ 7900(1.0185)¹¹

A ≈ 7900(1.223)

A=9664.92

9664.9 is the  Blanche's balance be from Account 2 over 5.5 years

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ1

Answer:

1.y=-16

2.y=-10

3.y=-4

4.y=2

hope ut helps!

have a nice night

The amount in terms of the original amount is $1,404 and the year end amount is $6,604.

a. Original amount

Original amount = 5200 - (5200× .27)

Original amount = $5200 - $1,404

Original amount = $3,796

b. Year-end amount

Year-end amount  = 5200+  $3,796

Year-end amount =$8996

Therefore the original amount is $3,796 and the year end is $8996.

Learn more about original amount here:https://brainly.com/question/7459025

#SPJ1

The correct vocabulary for the definition is Commutative.

Commutative property states that the result remains the same even if the order of the numbers are changed during operation.

For multiplication,

[tex]a*b=b*a[/tex]

Thus, the correct vocabulary for the definition is Commutative.

To learn more about commutative property refer here

https://brainly.com/question/778086

#SPJ9

Answer:

5 : (1/4) = 201 = 20

Step-by-step explanation:

The correct answer or scientific notation when 3.185× 10¹⁷ is divided by 9.1×10⁸ is 3.46×10⁸ and multiplying  3.185× 10¹⁷ with 9.1×10⁸  is 2.9×10²⁶.

It is given in the question that 3.185× 10¹⁷ is divided by 9.1×10⁸

we can write 3.185×10×10¹⁶ which equals 31.5×10¹⁶.

Now dividing 31.5×10¹⁶ by 9.1×10⁸ we get 3.46×10⁸.

Now multiplying  3.185× 10¹⁷ with 9.1×10⁸ we get 28.98×10²⁵

Converting 28.98×10²⁵ in scientific notation we get 2.9×10²⁶.

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation and known as standard form in the UK .

In scientific notation, a representation of a number that is a power of ten can also be written with equal ease. Additionally, you'll see that the amount of zeros in a regular decimal expression is exactly equal to the power to which 10 is raised.

Any time a number is expressed in words, it must first be written down as a regular decimal number before being converted. "Ten million" becomes "10,000,000" and vice versa.Ten million is written in powers of ten notation because there are seven zeros in all.

To know more about 'scientific notation' related questions

visit- https://brainly.com/question/28876255

#SPJ9

Answer:

y = 0.25x³

Step-by-step explanation:

Since y is directly proportional to x³, then y = kx³, where k is a constant.

When x = 10, y = 250,

   250 = k(10)³

1000k = 250

    ∴ k = 0.25

∴ y = 0.25x³

Jenni wrote the converse statement properly, however the statement is false, hence the correct option with a counter example is:

Yes; two angles that each measure 41°.

A conditional statement is written as follows:

p -> q.

In which the terms of the conditional statement are listed as follows:

In this problem, the statement is:

If angles are right angles, then the angles have the same measure.

Hence the terms is:

For the converse statement, the hypothesis and the conclusion are exchanged, hence:

q -> p.

Thus the converse of Jenni's statement is:

If two angles have the same measure, then they are right angles.

Which means that she wrote the converse statement properly.

However, the angles do not necessarily need to measure 90º, they only need to have the same measure, hence the correct option is:

Yes; two angles that each measure 41°.

The complete problem is:

Jenni wrote a conditional statement and its converse.Conditional: If angles are right angles, then the angles have the same measure.Converse: If angles have the same measurement, then they are right angles.Did Jenni write the converse statement properly? Give a counterexample to dispute the validity of the converse statement.No; two angles that each measure 45°Yes; two angles that each measure 90°Yes; two angles that each measure 41°No; two angles that each measure 82°.

More can be learned about converse statements at https://brainly.com/question/4421013

#SPJ1

Answer: (6, 0)

Step-by-step explanation:

Plug each coordinate in and see if the equation holds true.

At (6,0), [tex]4(6)-5(0)=24[/tex].

So (6, 0) is a solution of the equation.

Answer: 16

Step-by-step explanation:

To *increase* 24 in the ratio 2:3

To *increase* a quantity in given ratio consider new quantity and old quantity.

Formula: New quantity:old quantity=given ratio solution: let us take the new quantity as x, old quantity as 24(given) and given ratio=2:3(given)

-> x:24=2:3

-> x/24=2/3

-> Multiply with 24 on both sides to get x

-> 24*x/24=2/3*24

-> x=16

So, the *increase* of 24 in the ratio 2:3 is 16

To know more about *increase* of number in given ratio

https://brainly.in/question/20179533?utm_source=android&utm_medium=share&utm_campaign=question

Answer: 5/8

Step-by-step explanation:

remove the +'s because -'s are more valued. -1/5 is 0.2 and because we're subtracting 1.45-0.2 its 1.25. -5/8 = 0.625 and if you subtract 1.25-0.625 its 0.625 so its just 5/8

[tex]\frac{5}{8} .[/tex]

[tex]1.45 + (-\frac{1}{5} )+ (-\frac{5}{8} )[/tex]

[tex]1.45 -\frac{1}{5} -\frac{5}{8}[/tex]

[tex]\frac{145}{100} -\frac{1}{5} -\frac{5}{8}[/tex]

[tex]\frac{145/5}{100/5} -\frac{1}{5} -\frac{5}{8}\\ \\\frac{29}{20} -\frac{1}{5} -\frac{5}{8}[/tex]

Note. You always need to multiply each fraction by the same number on both numerator and denominator.

[tex]\frac{29*2}{20*2} -\frac{1*8}{5*8} -\frac{5*5}{8*5}\\ \\\frac{58}{40} -\frac{8}{40} -\frac{25}{40}[/tex]

[tex]\frac{58-8-25}{40} \\ \\\frac{25}{40}[/tex]

[tex]\frac{25/5}{40/5}\\ \\\frac{5}{8}[/tex]

[tex]1.45 + (-\frac{1}{5} )+ (-\frac{5}{8} )= \frac{5}{8} .[/tex]

Answer:

$1036.28

Step-by-step explanation:

Marking something up by 100% means doubling the price. Let's do this step first:

863.57 * 2 = 1727.14

Next, the discount is 40%

I would find this by taking the 10% value, multiplying that by 4 and subtracting that from our new value

10% = 172.714

40% = 690.856

Now our newest value:

1727.14 - 690.856

1036.284

Round to 2 decimal places (as is proper when dealing with cents):

1036.28

Thus, our newest (discounted) price is:

$1036.28

Markus' biweekly earnings (gross pay every two weeks) are $2,727.16.

The annual gross pay can be divided by 26 to get the biweekly earnings.

Another way to compute the biweekly earnings is by adding up the withholding taxes, deductions, and net earnings.

In practice, the net earnings are equal to the gross pay less withholding taxes and deductions.

Annual gross pay = $65,500

Payment period = biweekly (1st and 15th every month)

Social Security = $156.19

Medicare =            36.53

Federal tax  =     445.96

Total withholding = $636.68

Retirement = $45

Health Insurance = $200

Total deductions = $245

Net Earnings = $1,845.48

Biweekly ross pay (earnings) = $2,727.16 ($636.68 + $245 + $1,845.48)

Thus, Markus earns $2,727.16 every two weeks.

Learn more about gross pay and net earnings at https://brainly.com/question/4356180

#SPJ1