What is the greatest common factor of the terms in the polynomial 12x4 + 27x3 + 6x2?

3x
3x2
6x2
6x4

Answer:

19.995

Step-by-step explanation:

Answer:

12x² + 3x - 6

Step-by-step explanation: -2x(1-3x) = -2x+6x²

(2x+3)(3x-2), first do 2x

2x × 3x = 6x²

then 2x × -2= -4x

we then move to the number 3

3 × 3x = 9x

3 × -2 = -6

after that we add them together

-2x + 6x² + 6x² - 4x +9x - 6 = 6x² + 6x² is 12x², -2x - 4x + 9x = 3x, and then -6 is by its self

= 12x² + 3x - 6

The simplified solution of the expression is 6x²- 4x - 6.

In mathematics, an expression is a combination of one or more numbers, variables, and/or operators that can be evaluated to obtain a value. Expressions can be as simple as a single variable or number, or as complex as a combination of variables, numbers, and mathematical operations.

We can simplify the expression by distributing the terms and combining like terms:

E = -2x(1 - 3x) + (2x + 3)(3x - 2)

E = -2x + 6x² + (6x - 4x - 6)

E = 6x² - 4x - 6

Therefore, the simplified expression is 6x²- 4x - 6.

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Answer:

68 ft

I've attached the Trignometric ratio theory as well

hope you understood :)

Answer:

k = x*y

Step-by-step explanation:

The result of the multiplication for every number in the table is always the same. For example: 15*1 = 15, 5*3 = 15

Answer

136% is the answer

Answer:

73.5 %

Step-by-step explanation:

(150/204) . 100 = 73.529 ~ 73.5

Answer:

1. $8 2. $11 3. $23

Step-by-step explanation:

5*1 (The number of miles traveled) + 3 is 8

8*1+3 is 11

20*1+3 is 23

Answer:

$8, $11, $23

Step-by-step explanation:

Answer:

Step-by-step explanation:

Right angled triangle. To find the missing side use Pythagorean theorem.

Base² + altitude² = hypotenuse²

7² + x² = 23.2²

49 + x² = 538.24

        x² = 538.24 - 49

        x² = 489.24

Take square root,

x =[tex]\sqrt{489.24}[/tex]

x = 22.1 mm

Answer:

Step-by-step explanation:

[tex]Perimeter \ of \ block =\dfrac{8}{20}\\\\\\\dfrac{3}{20}+w+\dfrac{3}{20}+w = \dfrac{8}{20}\\\\\\\dfrac{6}{20}+2w=\dfrac{8}{20}\\\\\\2w=\dfrac{8}{20}-\dfrac{6}{20}\\\\\\2w=\dfrac{2}{20}\\\\\\w=\dfrac{2}{20*2}\\\\\\w=\dfrac{1}{20} \ mi[/tex]

Answer:

1/20 mile

Step-by-step explanation:

Let the Perimeter = P

20 (P) = 8 miles

P = 8/20 miles

Perimeter = 2 (Length) + 2 (width)

2 (3/20) + 2W = 8/20

2W = 8/20 - 6/20

2W = 2/20

W = 1/20

Answer:

a. 46.89 mph

b. 0.781 mi/min

c. 4126.22 ft/min

d. 68.77 ft/s

e. 1.28 min/mi

Step-by-step explanation:

a. Miles per hour

1. Convert 4 hours and 30 minutes into hours (4.5 hours).

2. Divide the distance traveled by the new time.

MPH = 211 mi / 4.5 hours = 46.89 mph

b. Miles per minute

1. Convert 4 hours and 30 minutes into minutes: (4*60+30) = 270 minutes

2. Divide the distance traveled by the new time

MPM = 211 mi / 270 min =0.781 mi/min

c. feet per minute

1. Use the converted time from part b (270 minutes)

2. Convert the distance traveled from miles to feet: (211*5280=1114080 ft)

3. Divide the converted distance by the converted time

ft/min = 1114080 ft / 270 minutes = 4126.22 ft/min

d. feet per second

1. Convert the time into seconds (270 minutes * 60 sec/min) = 16200 sec

2. Use the converted distance from part c (1114080 ft)

3. Divide the converted distance by the converted time

ft/s  = 1114080 ft / 16200 sec = 68.77 ft/s

e. minutes per mile

1. use the converted time from part b (270 minutes)

2. divide the time by the distance traveled

minutes/mi = 270 min / 211 mi = 1.28 min/mi

Answer:

125.66in²

Step-by-step explanation:

A=2πrh+2πr2=2·π·2·8+2·π·22≈125.66371in²

Answer: B because if it's a solution of a system of equations it must make both equations in the system true.

Answer:

The decimal would be moved back 3 spaces giving the answer 6,093

Answer:

x<-14

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form: x<-14

Answer:

115

Step-by-step explanation:

Luis has 23 milk jars × 5

23 × 5 = 115

Luis has 115 milk jars in all

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

Medians are the line segments that divides a side of Triangle into two equal parts, each having equal length. and since triangles have 3 sides, they have 3 medians as well.

Answer : It Is 3

Explanation : Medians Are The Line Segments That Divides A Side Of A Triangle Into Two Equal Parts, Each Having Equal Length. And Since Triangles Have 3 Sides, They Have 3 Medians As Well.

Answer:

615.44

Step-by-step explanation:

Area formula is 3.14x Radiusx Radius=Area

Diameter is Radius*2

So 3.14*14*14=615.44

If this helps can I get brainlest pls.

Answer:

26

Step-by-step explanation:

add them together and divide into 3

Answer: on the screenshot

Step-by-step explanation: linear function should go down or up(straight line)

Answer:

7x+1  

9 1/16

Step-by-step explanation:

Answer depend on if

x = Variable or x  = Multiply

If x = Variable then the answer = 7x +1

If x = Multiply  then the answer = 9 1/16

[RevyBreeze]

The complete factor of the polynomial 5ax² − 20x³ + 2a − 8x is (5x² + 2) (y − 4x). Then the correct option is C.

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Factor completely 5ax² − 20x³ + 2a − 8x.

Take 5x² common from the first two terms and 2 from the last two terms. we have

5ax² − 20x³ + 2a − 8x

5x²(a − 4x) + 2 (a − 4x)

Take (a - 4) common, then we have

(5x² + 2) (y − 4x)

The complete factor of the polynomial 5ax² − 20x³ + 2a − 8x is (5x² + 2) (y − 4x). Then the correct option is C.

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So assuming they are numbered from 1-12 :

The probability of Reed selecting a 3 is 1/12
And the probability of Reed selecting a 5 is also 1/12

So, the probability of Reed selecting a 3 then a 5 is 1/12 x 1/12 = 1/144

Answer:

formula :

-3rad × 180/π = -171.9°

Step-by-step explanation:

hope that help's you :))!!

The measure of the angle in degrees is A = -171.9°

The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.

The central angle of a circle formula is as follows.

Central Angle = ( s x 360° ) / 2πr

where s is the length of the arc

r is the radius of the circle

Central Angle = 2 x Angle in other segment

Given data ,

Let the measure of the angle be A = -3°

Now , angle in degrees = angle in radians × 180°/π

Substituting the given value, we get:

The angle in degrees = (-3) × 180°/π

On simplifying the equation , we get

A = -171.8873385°

On rounding to the nearest tenth , we get

A = -171.9°

Hence , the angle is A = -171.9°

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Answer:

ravi will have 100,000

Rani will have 150,000

Step-by-step explanation:

Using the correlation coefficient, it is found that we can say that there is a non-strong positive relationship between the scores of a baseball team's games and the batting average of its top player.

It is an index that measures correlation between two variables, assuming values between -1 and 1.

If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.

If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.

In this problem, the coefficient is of 0.37, which is positive but less than 0.6, hence there is a non-strong positive relationship between the scores of a baseball team's games and the batting average of its top player.

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Spencer has a bag with 10 marbles. There are 6 white marbles and 4 black marbles.

Spencer picks a marble at random.

Write as a decimal the probability of Spencer picking a black marble

4 Black Marbles

+

6 white Marbles

=10

THE ANSWER IS :

4/10

Lowest Term :

2/5

As a Decimal:

The probability of Spencer picking a black marble is approximately 0.4 or 40%.

To find the probability of Spencer picking a black marble, we can use the formula for probability:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes)

In this case, the number of favorable outcomes (picking a black marble) is 4, as there are 4 black marbles in the bag. The total number of possible outcomes (picking any marble) is 10, as there are 10 marbles in total.

Now, we can calculate the probability:

Probability = 4 / 10

Simplifying the fraction, we get:

Probability = 2 / 5

To express the probability as a decimal, divide the numerator (2) by the denominator (5):

Probability = 2 ÷ 5

Probability ≈ 0.4

The probability represents the likelihood of an event occurring, and in this case, it tells us the chance of Spencer picking a black marble out of the 10 marbles in the bag.

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Answer:

24

Step-by-step explanation:

4 tasks

4 students

[tex]A(4.4)=4\times3\times2\times1=24[/tex] [tex]\left\{random\ possibility\right\}[/tex]

There are 4 students for the first task, then 3 students for the second task (one student was taken away), then two for the third, and one for the fourth. That adds up to 4*3*2*1 = 24 ways.

Answer:

AB

I hope this helps you

:)

Answers in order:

7 11 5 3 40 20 7 1 2 84 12 35