How do you factor the polynomial 3x^2 + 8x^2 - x - 10 = 0?

Answer:

I can answer Part B since I can't explain Part A in words.

Step-by-step explanation:

Angle 2 = 109 degrees (since it is a straight angle witch is 180 degrees. What you need to do is subtract the given with 180.)

Angle 3 = 81 degrees (I don't know how to explain this. Sorry.)

Angle 4 = 81 degrees (I also don't know how to explain this.)

Answer:

Maximum length and breadth of the box is 6.32 cm and the height of the box is 3.16 cm

Step-by-step explanation:

Surface area of box

[tex]4xy+x^2=120\\\Rightarrow y=\dfrac{120-x^2}{4x}[/tex]

Volume of box is

[tex]V=x^2y\\\Rightarrow V=x^2\times \dfrac{120-x^2}{4x}\\\Rightarrow V=\dfrac{120x-x^3}{4}\\\Rightarrow V=30x-\dfrac{1}{4}x^3[/tex]

Differentiating with respect to [tex]x[/tex]

[tex]\dfrac{dV}{dx}=30-\dfrac{3}{4}x^2[/tex]

Equating with zero

[tex]30-\dfrac{3}{4}x^2=0\\\Rightarrow x^2=\dfrac{30\times 4}{3}\\\Rightarrow x^2=40\\\Rightarrow x=6.32[/tex]

Double derivative of the volume

[tex]\dfrac{d^2V}{dx^2}=-\dfrac{6x}{4}=-\dfrac{6\times 6.32}{4}=-9.48<0[/tex]

So, the volume is maximum at [tex]x=6.32[/tex]

[tex]y=\dfrac{120-x^2}{4x}=\dfrac{120-40}{4\times \sqrt{40}}\\\Rightarrow y=3.16[/tex]

So, the maximum length and breadth of the box is 6.32 cm and the height of the box is 3.16 cm.

Answer:

5v+4

Step-by-step explanation:

Answer:

29%

Step-by-step explanation:

You add the 18 and 53 then subtract by 100 to receive your answer

Answer:

29%

Step-by-step explanation:

You add the percentages of the other categories (18 - children, 53 - adult fiction) then subtract from 100.

Answer:

14

20+8=28/2

your welcome

9514 1404 393

Answer:

  6.5 cm

Step-by-step explanation:

The length (s) of an arc of a circle of radius r and angle θ is ...

  s = rθ . . . . where θ is in radians

For your values, the arc length is ...

  s = (2.6 cm)(2.5 radians) = 6.5 cm

The length of the subtended arc is 6.5 cm.

Answer:

2 shifts

Step-by-step explanation:

Amount earned washes dishes = 12 dollars / hour

Shift duration = 75 minutes

Cost of laundry = 12 quarters per load

Cost of 10 loads of laundry = (10 * 12 quarters) = 120 quarters

1 quarter = 25 cents

120 quarters = (25 * 120) = 3000 cents

100 cents = $1

3000 cents = 3000/ 100 = $30

Hence, to make $30 from washing dishes :

$12 = 1 hour

$30 = x

x = 30 / 12

x = 2.5 hours

1 shift lasts 75 minutes

2.5 hours = (2.5 * 60) = 150 minutes

150 / 75 = 2 shifts

Answer:

398 ft

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

i did the math

Answer:

1) The expected value of the number of moving violations for which the individual was cited during the last 3 years is 1

2) The expected amount of surcharges is $250

Step-by-step explanation:

Given that;

Y      0           1       2        3         4

p(y) 0.50   0.20   0.15   0.10   0.05

1)

Value of E(Y)

E(Y) = (0×0.50) + ( 1×0.20) + ( 2×0.15) + (3×0.10) + (4×0.05)

= 0 + 0.20 + 0.3 + 0.3 + 0.2

E(Y) = 1

Therefore, The expected value of the number of moving violations for which the individual was cited during the last 3 years is 1

b)

Suppose an individual with Y violations incurs a surcharge of $100Y² , the expected amount of the surcharge is given by,

E($100Y²) = 100E(Y)²

= 100∑Y²P(y)

= 100(0²×0.50) + ( 1²×0.20) + ( 2²×0.15) + (3²×0.10) + (4²×0.05)

= 100( 0 + 0.2 + 0.6 + 0.9 + 0.8 )

= 100(2.5)

= $250

Therefore; The expected amount of surcharges is $250

Step-by-step explanation:

[tex]137 = 2\pi \times r \\ r = \frac{137}{2\pi} = 21.8045232 \\ diameter = 2 \times r = 43.609 \\ = 43.61 \: m[/tex]

Answer:

1. Mode = 7

2. Range = 8

Step-by-step explanation:

The following set of data were obtained from the question:

4, 6, 5, 9, 3, 2, 7, 7, 1, 8

Mode =?

Range =?

1. Determination of the mode of the data.

Mode is simply defined as the mark (score) with the highest frequency. Thus we can obtain the mode as follow:

Scores >>>>>>> Frequency

4 >>>>>>>>>>>> 1

6 >>>>>>>>>>>> 1

5 >>>>>>>>>>>> 1

9 >>>>>>>>>>>> 1

3 >>>>>>>>>>>> 1

2 >>>>>>>>>>>> 1

7 >>>>>>>>>>>> 2

1 >>>>>>>>>>>> 1

8 >>>>>>>>>>>> 1

From the above illustration, we can see that the mark 7 has the highest frequency. Therefore, 7 is the mode of the data .

2. Determination of the range of the data.

Range of a given data is simply obtained by calculating the difference between the highest and the lowest score. The range can be obtained as follow:

Highest score = 9

Lowest score = 1

Range = Highest – Lowest

Range = 9 – 1

Range = 8

Answer:

24

Step-by-step explanation:

common sense

Answer:

Step-by-step explanation: 60 x 3= 380

2 x 60= 270

270 + 380= 810

Answer:

1/10 x 5/6 = 5/60 or 1/12

Step-by-step explanation:

multiply the denominator and numerators. If it is needed to be simplified,

find the gcf of 5 and 60. That would be 5. So divided 5/60 by 5. This would be your final answer of 1/12.

Have a nice day, and I hope this helps you!

-KindnessMatters-

Answer:

YES:  direct variation

Step-by-step explanation:

2x = 3y is equivalent to y = (2/3)x, which has the form of a proportional relationship (direct variation) y = kx.  YES

Answer:

a: about 800? nonfiction books in valley

b: valley and central has more fiction than nonfiction books

c: there's probably about 2600 books in hillside

Step-by-step explanation:

41. A

42. A

43. B

44. B

45. A

46. A

47. B

48. A

49. A

50. A

51. B

52. B

Answer:

x=−4 or x=6

Step-by-step explanation:

Answer:

i=prt

i = 1,000 x 0.045 x 1.5

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

Answer:

9 cm

Step-by-step explanation:

Answer:

it is 9 cm because 9 x 8 is 72

Step-by-step explanation:

To do this problem you would need to have at least one side length AND the hypotenuse to figure out the other side length.

Answer:

h = $1.50

d = $1.25

Step-by-step explanation:

$1.50 + $1.50 = $3 + $1.25 = $4.25

$1.50 + $1.50 + $1.50 = $4.50 + $1.25 + $1.25 = $7

Answer:

2h + 1d = 4.25

3h + 2d = 7.00

Step-by-step explanation:

-3(2h + 1d) = -3(4.25)

2 (3h + 2d) = 2(7.00)

-6h - 3d = -12.25

6h + 4d = 14

if we add them together we get D = 1.75

Checking:

2h + 1(1.75) = 4.25

2h + 1.75 = 4.25

2h = 2.5

h = 1.25

1.25 times 2 plus 1.75 = 4.25

Answer:

38m

Step-by-step explanation:

the top side is equal to

2 + 5 + 1 = 8

the perimeter:

9 + 7 + 8 + 2 + 4 + 5 + 2 + 1 = 38

Answer:

y= 2/1x

Step-by-step explanation:

1. Mark two points on the coordinate place (1,2) (2,4)

2. Subtract y1 from y2 and x1 from x2

(1, 2)   1

(2, 4)   2

4-2 y, 2-1 x

3. Put y on top of x as a fraction after you've subtracted it (2/1)

4. y= 2/1x

i think this is right...maybe?

Answer:

A. $ 46

B. 12 people.

Step-by-step explanation:

From the question given above, we obtained the following:

C(x) = 6.5x + 20

Where:

C => total cost of bowling

x => number of people

A. Determination of the of bowling for 4 people.

Number of people (x) = 4

Total cost (C) of bowling =?

C(x) = 6.5x + 20

C(4) = 6.5(4) + 20

C(4) = 26 + 20

C(4) = $ 46

Thus, it will cost $ 46 for 4 people to bowl

B. Determination of the number of people that can bowl for $ 98.

Total cost (C) of bowling = $ 98

Number of people (x) =?

C(x) = 6.5x + 20

98 = 6.5x + 20

Collect like terms

98 – 20 = 6.5x

78 = 6.5x

Divide both side by 6.5

x = 78 / 6.5

x = 12

Thus, 12 people can bowl for $ 98.

Answer: it’s C

Step-by-step explanation:

d,

hope this helps! May I have brainliest please? :D

Answer:

Step-by-step explanation:

It is a right triangle. The hypotenuse is 6+9=15.

Pythagorean Theorem: 9² + ?² = 15²

?² = 15² - 9² = 225 - 81 = 144

? = √144 = 12