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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Answer:

5 out of 10, 5/10, or 50%

Step-by-step explanation:

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Bernard had 15 red notebooks, 17 blue notebooks and 19 white
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many notebooks did Bernard give Tom?

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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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

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height =h=16inch

Answer:

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Answers

Answer:

perimeter is 36 cm

Step-by-step explanation:

a perimeter of a regular hexagon is 6a

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Seth owns a local ice cream parlor. He designed a new sign in the shape of an ice cream cone and cut it from plywood. He wants to attach LED lights around the PERIMETER of the sign. A diagram of the sign made from a TRIANGLE and a SEMICIRCLE is shown below. What is the length of LED lights he will need to span the PERIMETER of the sign?

Answers

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Step-by-step explanation:

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Answers

Answer:

x=68

Step-by-step explanation:

let y equal the vertical angles

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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:

8.82 cubic feet - 4.214 cubic feet = 4.606 cubic feet.

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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.

If you need to find Isaahan's age, just multiply 2 x 14, which is 28.

Isahaan is 28 years old, and Christopher is 42 years old.

Glad I could help!

-Vibilities

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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
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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)

0.625 cm

  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

Similarly, recursive formula will be,

        [tex]a=[/tex] First term

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[tex]\frac{T_3}{T_2}=\frac{640}{2560}=\frac{1}{4}[/tex]

Therefore, height of the ball after each bounce will represent a geometric sequence.

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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]

By using recursive formula,

Height of the ball after 8th bounce,

[tex]T_8=10240(\frac{1}{4})^{8-1}[/tex]

    [tex]=10240(0.25)7[/tex]

    [tex]=0.625[/tex] cm

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

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

khanacademy

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__________________________________________________________

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Answers

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Step-by-step explanation:

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__

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