Solve for x. Enter the solutions from least to greatest. 6x^2 +1 =487 lesser=x greater=x

Answers

Answer 1

Answer:

(-9, 9)

Step-by-step explanation:

[tex]6x^{2} +1 = 487[/tex]                                             (Given)

       -1       -1                                     (Getting "x" alone)

[tex]6x^{2} = 486[/tex]                                        (Cont. Getting "x" alone)

÷6      ÷6                                                           ↓

[tex]x^{2} = 81[/tex]                                                              ↓

[tex]\sqrt{x} ^2 = \sqrt{81}[/tex]                           (9 and -9 squared are both equal to 81)

↓             ↓                                                        ↓

x = 9      x = -9                                            (Answer)

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO


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Bernard had 15 red notebooks, 17 blue notebooks and 19 white
notebooks. He gave some of them to Tom and had 5 left. How
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Answers

Answer:

He gave 46 to Tom

Step-by-step explanation:

He started is 51 notebooks- 15 + 17 + 19 = 51

He then gave some away until he only had 5 left 51 - 5 = 46

He gave 46 to Tom

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Answers

6(10+z+3)
= (6)(10 + z +3)
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A 1, 2, 3
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Answers

9514 1404 393

Answer:

  B.  3, 4, 5

Step-by-step explanation:

The Pythagorean triple (3, 4, 5) is the only Pythagorean triple that is an arithmetic sequence. It is also the triple with the smallest integers. It is useful to remember this triple, as it is seen a lot in algebra, geometry, and trig problems.

__

Side length 1, 2, 3 do not form a triangle.

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Stephanie will be representing her school at the district track meet in the 200 meter race. She has kept records of her last 5 races. What is the mean absolute deviation of her races? Round your answer to the nearest tenth.RaceTime (seconds)123.6225.1324.8422.9524.2Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Answers

Answer:

119.816

Step-by-step explanation:

Given the data :

123.6, 225.1, 324.8, 422.9, 524.2

Mean absolute deviation (MAD) :

Σ|x - m| / n

m = mean = ΣX / n

n = same size = 5

m = 1620.6 / 5 = 324.12|

[|123.6 - 324.12| + |225.1 - 324.12| + |324.8 - 324.12| + |422.9 - 324.12| + |524.2 - 324.12|] / 5

= 119.816

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Answers

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Answers

Answer:

Shape 1 :36

Shape 2 : 18

Step-by-step explanation:

Shape 1 : So lets break this into 3 different shapes 2 triangle and 1 rectangle. trangle number one is 3x6÷2=9 since both the trangles are the same its 9+9=18. The rectangle is 3x6 which is 18 18+18=36

__________________________________________________________

Shape 2: Lets break it up the same way we did to shape 1, first triangle is 3x5÷2 which is 7.5 since both triangle is the same its 7.5+7.5=15. The ractangle is 3x1 which is 3 so 15+3=18

Hope this helped! :)

The radius of a circle is 17.8 ft. Find the circumference to the nearest tenth.

Answers

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Answers

10 i think
explanation:
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Answer:

9

Step-by-step explanation

66, 67, 68, 68, 70, 71, 71, 71, and 72

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a packing box is 3.5 feet by 1.4 feet by 1.8 a box that is 3.1 feet by 1.1 feet by 1.4 feet is placed inside the first box the rest of the box is filled with packing foam how many cubic feet does the packing foam take up​

Answers

The packing foam takes up approximately 4.606 cubic feet of space in the larger box.

To calculate the volume of the packing foam, we need to determine the volume of the larger box and subtract the volume of the smaller box.

The volume of the larger box is given by length × width × height, which is 3.5 feet × 1.4 feet × 1.8 feet = 8.82 cubic feet.

Similarly, the volume of the smaller box is calculated as 3.1 feet × 1.1 feet × 1.4 feet = 4.214 cubic feet.

To find the volume of the packing foam, we subtract the volume of the smaller box from the volume of the larger box:

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Answer:

Question 1

Given pentagon

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Sum of exterior angles is same for any polygon:

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Sum of interior angles:

S = (6 - 2)*180° = 720°

Sum of interior angles of a given hexagon:

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Answers

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Answers

Answer:

He is 42 years old.

Step-by-step explanation:

3 x 14 = 42

The 3 is for how many times older Ishaan is.

The 14 is how many years older than Christopher Isahaan is.

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Rohan dropped a lacrosse ball from a building.



After each bounce, the height of the ball is measured and recorded in the table.

Bounce Number Height (cm) After Bounce
1 10,240
2 2,560
3 640
4 160
Write an explicit and recursive formula to represent the sequence of the height of the ball after each bounce.

What is the height of the ball after bounce 8? Explain your answer by using one of the formulas you created.

Answers

Answer:

The nth bounce a sub n is 0.25 (a sub n-1)

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  Recursive formula of the sequence[tex]T_n=10240(\frac{1}{4})^{n-1}[/tex]

  Explicit formula of the sequence → [tex]T_1=10240, \\T_{n+1}=T_n(0.25)[/tex]

  Height of the ball after 8th bounce will be 0.625 cm.

Geometric sequence and its explicit and recursive formula,If a sequence is in the form of [tex]ar,ar,ar^2,ar^3.....[/tex] n terms,

        Sequence will be the geometric sequence and the explicit formula

        of the sequence will be,

        [tex]T_n=ar^{n-1}[/tex]

        Here, [tex]a=[/tex] First term

        [tex]r=[/tex] Common ratio

        [tex]n=[/tex] Number of terms

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[tex]T_n=10240(\frac{1}{4})^{n-1}[/tex]

Recursive formula for the sequence will be,

[tex]T_1=10240[/tex]

[tex]T_{n+1}=T_n(\frac{1}{4})[/tex]

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    [tex]=0.625[/tex] cm

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Step-by-step explanation:

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Answers

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