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xz_007 [3.2K]
3 years ago
8

Re-write the quadratic function below in Standard Form y=5(x + 1)^2+9

Mathematics
1 answer:
omeli [17]3 years ago
4 0

Answer:

y = 5x^2+10x +14

Step-by-step explanation:

y = 5(x+1)^2+9

= 5(x^2+2x+1)+9

= 5x^2+10x +14

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The following are the ratings of males by females in an experiment involving speed dating. Use the given data to construct a box
Finger [1]

Answer:

Step-by-step explanation:

Box plot is enclosed.

To find out 5 number summary

3.0, 3.5, 4.5, 5.5, 6.5, 6.5, 7.0, 7.0, 7.0, 7.0, 7.0, 7.5, 8.0, 9.0, 9.0, 9.0, 9.5, 9.5, 9.5, 9.5}

Minimum: 3.0

Quartile Q1: 6.5

Median: 7

Quartile Q3: 9

Maximum: 9.5

Besides we find that

Average (mean): μ=7.25

Absolute deviation: 30.5

Mean deviation: 1.525

Minimum: 3.0

Maximum: 9.5

Variance: 3.7125

Standard deviation σ=1.926

4 0
3 years ago
The dimensions of a gymnastic floor are 40 ft by 40 ft. the performance floor is 1 ft less, or 39 ft, per side.
Mashutka [201]

Answer:

the square root of 3200

Step-by-step explanation:

I'm not sure if this is right, because the format of the question wasn't clear, but it sounded like we have to find the diagonal distance of the room from one corner to the opposite. If the sides are 40ft long on both sides, we can use the Pythagorean Theorem to solve this:

40^2+40^2=c^2

1600+1600=c^2

3200=c^2

c=sqrt(3200)

or about 56.5

4 0
1 year ago
A 20 ft flag pole casts a shadow 32 ft long. What is the angle of elevation of the sun?
Nookie1986 [14]

Answer:

<em>The angle of elevation of the sun is 32°</em>

Step-by-step explanation:

<u>Right Triangles</u>

The flagpole and the ground form a right angle (90°). In triangles with right angles, the trigonometric ratios are satisfied.

Each acute angle has an adjacent leg and an opposite leg. The tangent ratio relates to both legs.

\displaystyle \tan x=\frac{\text{opposite leg}}{\text{adjacent leg}}

The opposite leg to angle x is 20 ft and the adjacent leg is 32 ft, thus:

\displaystyle \tan x=\frac{20}{32}=0.625

Calculate x by using the inverse tangent:

x=\arctan 0.625

x=32^\circ

The angle of elevation of the sun is 32°

7 0
3 years ago
The moon appears red during a lunar eclipse because red is the __________ wavelength of light in the color spectrum present in s
Sav [38]

Answer:

<u><em>Longest</em></u>

Step-by-step explanation:

The moon appears red during a lunar eclipse because red is the <u><em>Longest </em></u>wavelength of light in the color spectrum present in sunlight.

<em><u>-Please Mark As Brainliest</u></em>

8 0
3 years ago
"You figure you can ride Ghost Wind, then get on. Just bring him back to the stable when you're finished so I can rub him down."
AlekseyPX

Answer:

character vs nature.

minor

I got it right on edge 2021

5 0
2 years ago
Read 2 more answers
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