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Mathematics

1 answer:

gulaghasi [49]3 years ago

4 0

Answer:

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what number could be included in the data set 9,12,17,15,13 so the MEDIAN of the numbers in the set results in 14?

Georgia [21]

<em><u>Your answer is 12,17,15,13 if you take out the 9 your median will be 14.</u></em>

~*"AUBA14"*~

6 0

3 years ago

Read 2 more answers

Find the circumference of the circles below. Round your answer to the nearest whole number. Use 3.14 for Pi.

Lisa [10]

Answer:

$\huge\boxed{1.\ C\approx38cm;\ 2.\ C\approx57ft;\ 3.\ C\approx50in.}$

Step-by-step explanation:

The formula of a circumference of a circle:

$C=2\pi r\\\\r-\text{radius}$

$1.\\r=6cm\\\\C=2\pi\cdot6=12\pi\\\\\pi\approx3.14\\\\C\approx12\cdot3.14=37.68\approx38(cm)\\\\2.\\r=9ft\\\\C=2\pi\cdot9=18\pi\\\\\pi\approx3.14\\\\C\approx18\cdot3.14=56.52\approx57(ft)\\\\3.\\2r=16in.\to r=8in.\\\\C=2\pi\cdot8=16\pi\\\\\pi\approx3.14\\\\C\approx16\cdot3.14=50.24\approx50(in.)$

8 0

3 years ago

Find the constant $a$ such that\[(x^2 - 3x + 4)(2x^2 +ax + 7) = 2x^4 -11x^3 +30x^2 -41x +28.\]

Colt1911 [192]

The value of constant a is -5

Further explanation:

We will use the comparison of co-efficient method for finding the value of a

So,

Given

$(x^2 - 3x + 4)(2x^2 +ax + 7)\\= x^2((2x^2 +ax + 7)-3x((2x^2 +ax + 7)+4(2x^2 +ax + 7)\\= 2x^4+ax^3+7x^2-6x^3-3ax^2-21x+8x^2+4ax+28\\Combining\ alike\ terms\\=2x^4+ax^3-6x^3+7x^2-3ax^2+8x^2-21x+4ax+28\\= 2x^4 +(a-6)x^3+(15-3a)x^2-(21-4a)x+28\\$