g(x) = 2x^4 +5x^3– x^2 +5x– 1
List the possible factors of g(x).

Answer:

B should be worth more points.

Step-by-step explanation:

Given -  Consider a randomly shuffled deck of ten cards labeled

              {1, 1, 2, 2, 3, 3, 4, 4, 5, 5}, of which game play requires three

               to be drawn.

To find - Which one should be worth more points:

              A getting a pair of matching cards within the three,

              or B getting a set of three cards that can be arranged such

              that the sum of two of them is the value of the third.

Proof -

Given that, three cards has to be drawn.

So, total number of ways the card be drawn = ¹⁰C₃

                                                                      = [tex]\frac{10!}{3! (10-3)!}[/tex]

                                                                      = [tex]\frac{10!}{3! 7!}[/tex]

                                                                      = [tex]\frac{10.9.8.7!}{3! 7!}[/tex]

                                                                      = [tex]\frac{10.9.8}{3.2.1}[/tex]

                                                                      = 120

⇒¹⁰C₃ = 120

Now,

Given that, A getting a pair of matching cards within the three

Sample space = { (1,1,2), (1,1,3).(1,1,4),(1,1,5);

                            (2,2,1),(2,2,3),(2,2,4),(2,2,5);

                             (3,3,1),(3,3,2),(3,3,4),(3,3,5);

                              (4,4,1),(4,4,2),(4,4,3),(4,4,5);

                              (5,5,1),(5,5,2),(5,5,3),(5,5,4) }

⇒n(A) = 20

Also,

B getting a set of three cards that can be arranged such that the sum of two of them is the value of the third

Sample space = { (1,1,2),(1,2,3),(1,3,4),(1,4,5),(2,2,4),(2,3,5) }

⇒n(B) = 6

Now,

P(A) = [tex]\frac{20}{120} = \frac{1}{6}[/tex] = 0.167

P(B) = [tex]\frac{6}{120} = \frac{1}{20}[/tex] = 0.05

We can see that, P(B) < P(A)

⇒B should be worth more points.

Answer:

4 in²

Step-by-step explanation:

A= l * w

A= 2 * 2

A= 4

Answer:

3

Step-by-step explanation:

z+5=4=>z= -1

3(-1)+6=3

Answer:

angle abc =140°

and bd bisected by bd so, bd divede angle abc.

angle dbc= angle abc / 2

angle dbc=140°/2

angle dbc=70°

The measure of angle DBC from the given figure is 70°.

The measure of angle ABC is 140°.

The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.

Angle bisector BD is bisecting angle ABC equally, which is

∠ABC=∠ABD+∠DBC

⇒ 140°=∠DBC+∠DBC

⇒ 2∠DBC=140°

⇒ ∠DBC=70°

Therefore, the measure of angle DBC from the given figure is 70°.

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Answer:

76,000,000

Step-by-step explanation:

Look at the 100,000 place and see whether to round up or down - 8 is larger than 5, therefore 75,000,000 gets rounded up to 76,000,000

Answer:

Let percentage be x%

According to the question

200+x%of 200=£210.99

X%of 200=£210.99-200

X/100×200=10.99

X=10.99/2=5.495% is required percentage.

Step-by-step explanation:

Answer:

30.9 assuming the shaded area are the corner areas of the square not occupied by the circle

Step-by-step explanation:

solve for the area of the square by using the diameter of the circle area of the square=144 then solve for the area of the circle using the radius circle=113.1 the subtract from each other which would equal 30.9

Step-by-step explanation:

n/2 + 3 < 20

50 >= 16- 2n

n / 2.83 > 100

Answer:

23 or 19

Step-by-step explanation:

15+8= 23

23-4= 19

i added 15 and 8 because if you were to flatten the triangle it would be next to the base, so i added it. I subtracted 4 because side C doesn't look like it is is about 23 ft. it could be 20 too.

i am not exactly sure. sorry if you get it wrong. I am so sorry if i got it wrong.

Answer:

The conversion rate is 1-liter equals 1000 milliliter.

Step-by-step explanation:

(24*500 + 15*1000) Total milliliters

(24*500 + 15*1000)/1000 Conversion Rate

Answer is 27 liters.

Answer:

60

Step-by-step explanation:

1/6 * 60 = 60/6

60/6 = 10/1 = 10

The number of 1/6 pound servings in 10 pounds of chicken is; 60

We are required to determine how many 1/6 pound servings are in 10 pounds of chicken.

Hence ; we have;

= 60.

Read more on divisions;

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You can substitute a = 2ˣ and b = 5ʸ to make both equations linear.

The first equation becomes

a - b = 3

In the second equation, first simplify the exponents:

2ˣ ⁻³ = 2ˣ × 2⁻³ = 1/8 × 2ˣ

5ʸ ⁻² = 5ʸ × 5⁻² = 1/25 × 5ʸ

so the second equation changes to

a/8 + b/25 = 21

Multiply both sides of this by 200 (the LCM of 8 and 25) to eliminate the fractions:

25a + 8b = 4200

Multiply both sides of the first equation by 8, then add the corresponding sides of both equations. This eliminates b and you can solve for a :

8 (a - b) + (25a + 8b) = 8 (3) + 4200

(8a - 8b) + (25a + 8b) = 24 + 4200

33a = 4224

a = 128

Plug this into the first equation to solve for b :

128 - b = 3

b = 125

Now solve for x and y. Notice that

128 = 2⁷

and

125 = 5³

so it follows that x = 7 and y = 3.

Alternatively, you can use logarithms. For example,

a = 2ˣ   →   log₂(a) = log₂(2ˣ )   →   x = log₂(128) = 7

Answer:

D. 13.02

Step-by-step explanation:

Apply trigonometric function to find the height (h) of the wall.

Reference angle = 40°

Hypotenuse = 17 ft

Adjacent = h (height of the wall)

Apply CAH:

Cos 40 = Adj/Hyp

Cos 40 = h/17

17*Cos 40 = h

13.0227555 = h

h ≈ 13.02 ft

Answer:

x = 32

Angle 1 = 96

Angle 2 = 84

Step-by-step explanation:

3x + x + 52 = 180

4x + 52 = 180

     -52     -52

4x = 128

divide by 2

x = 32

___________________

1 = 3x

3(32)

1 = 96

___________________

2 = x + 52

2 = 32 + 52

2 = 84

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

(3a + 11) (3a - 11)

Step-by-step explanation:

:))

Answer:

$12.65

Step-by-step explanation:

i caculated that

Answer:

13x=4   :-)  !!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

1-) -2 + 7x + 2 = 2 + 6x + 2

2-) 7x = 6x + 4

3-) 7x - 6x = 6x + 4- 6x

4-) X= 4

Answer:

[tex]\theta =135[/tex]

Step-by-step explanation:

Required

Interior of a regular octagon

This is calculated using:

[tex]\theta =\frac{180(n-2)}{n}[/tex]

Where

[tex]n = 8[/tex]

So:

[tex]\theta =\frac{180(8-2)}{8}[/tex]

[tex]\theta =\frac{180*6}{8}[/tex]

[tex]\theta =135[/tex]

Answer:

4.64

Step-by-step explanation:

If you do 20% of 1.45, you would get 0.29, add that by 1.45 plus 1.45 plus 1.45, and you get 4.64. Hope this helps!

Answer:

$4.64

Step-by-step explanation:

3 x 1.45 = 4.35

1.45 x .2 = .29

4.35 +.29 = 4.64

Answer:

It depends on the amount of tax. That also depends on the state of the sale.

Step-by-step explanation:

Answer:

255

Step-by-step explanation:

180+75=255

Answer:

Perpendicular bisector

Step-by-step explanation:

Construction done:

1). An arc is drawn from point O which intersects line 'l' at two points C and D.

2). From the points C and D two equal arcs on both the sides of the line 'l' have been drawn intersecting each other at points P and Q.

3). Points P and Q have been joined with the help of a straightedge.

Hence constructed line PQ is the PERPENDICULAR BISECTOR of the line segment CD.

Answer:

12x

Step-by-step explanation:

[tex]12x(8x - 20) \div 4(2x - 5) \\ \\ = 12x \times 4(2x - 5) \div 4(2x - 5) \\ \\ = \frac{12x \times \cancel{ 4(2x - 5)}}{\cancel{ 4(2x - 5)}} \\ \\ = 12x[/tex]

Answer:

AN*(B\C)=(ANB)\C=>ANB/C=ANB/C

Answer:

It's true but I don't know if my proof is technical enough for you.

Step-by-step explanation:

Multiplication and division of numbers can happen in any order.

Answer:

755757

Step-by-step explanation:

The mean absolute deviation of Polina's math scores is 8.8.

The answer is D) 8.8.

What is the mean absolute deviation?

The mean absolute deviation (MAD) is a measure of variability that quantifies the average difference between the observations in a dataset and the dataset's mean. It is calculated by finding the average of the absolute deviations of the data points from their mean.

To find the mean absolute deviation (MAD) of Polina's math scores, we first need to find the mean of the scores:

Mean = (72 + 65 + 75 + 88 + 90)/5

Mean = 78

Next, we find the absolute deviation of each score by finding the difference between each score and the mean, taking the absolute value of the difference, and then adding up the absolute differences:

|72 - 78| = 6

|65 - 78| = 13

|75 - 78| = 3

|88 - 78| = 10

|90 - 78| = 12

Sum of absolute deviations = 6 + 13 + 3 + 10 + 12

Sum of absolute deviations = 44

Finally, we find the MAD by dividing the sum of the absolute deviations by the number of scores:

MAD = 44/5

MAD = 8.8

Therefore, the mean absolute deviation of Polina's math scores is 8.8.

The answer is D) 8.8.

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Answer:

d ( 8.8)

Step-by-step explanation:

/edge 2023/ sorry if I'm wrong , have a good day!

Answer:

x=12

y=[tex]12\sqrt{3}[/tex]

Step-by-step explanation:

Hey There!

to solve this problem we need to use the 30 - 60 - 90 triangle rule

So you are correct on x because the hypotenuse is 2x

24/2=12

y would equal [tex]12\sqrt{3}[/tex]

as you could see in the image down below

Answer:

Step-by-step explanation:

b = 75°

a = 180° - 2(75°) = 30°

Angle XYZ = 180°-b = 105°

c = b - 35° = 40°