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3 years ago

63, 70, 68, 73, 58, 67 I need the mean absolute deviation for this one too.

Mathematics

2 answers:

sweet-ann [11.9K]3 years ago

3 0

Answer:

66.5

Step-by-step explanation:

I took a test and got it right

Paul [167]3 years ago

3 0

Answer is 66.5 hope that helps

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A cylinder has a radius of 2x + 3 and height of 3x + 2. Which polynomial in standard form best describes the total volume of the

Bogdan [553]

Answer:

$v = \pi {r}^{2} h \\ v = \pi {(2x + 3)}^{2} (3x + 2) \\ v = \pi(4 {x}^{2} + 12x + 9)(3x + 2) \\ v =( 12 {x}^{3} + 36 {x}^{2} + 27x + 8 {x}^{2} + 24x + 18)\pi \\ v =( 12 {x}^{3} + 44 {x}^{2} + 51x + 18)\pi$

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3 years ago

Solve for the roots in the equation below. In your final answer, include each of the necessary steps and calculations. Hint: Use

QveST [7]

$\bf 27\implies 3^3\\\\
i^3\implies i\cdot i\cdot i\implies i^2\cdot i\implies -1\cdot i\implies -i\\\\
-----------------------------\\\\
x^3-27i=0\implies x^3+3^3(-i)=0\implies x^3+(3^3i^3)=0
\\\\\\
x^3+(3i)^3=0\\\\
-----------------------------\\\\
\textit{difference of cubes}
\\ \quad \\
a^3+b^3 = (a+b)(a^2-ab+b^2)\qquad
(a+b)(a^2-ab+b^2)= a^3+b^3\\\\
-----------------------------\\\\$

$\bf (x+3i)[x^2-3ix+(3i)^2]=0\implies 
\begin{cases}
x+3i=0\implies \boxed{x=-3i}\\\\
x^2-3ix+(3i)^2=0
\end{cases}
\\\\\\
\textit{now, for the second one, we'd need the quadratic formula}
\\\\\\
x^2-3ix+(3i)^2=0\implies x^2-3ix+(3^2i^2)=0
$

$\bf x^2-3ix+(-9)=0\implies x^2-3ix-9=0
\\\\\\
\textit{quadratic formula}\\\\
x= \cfrac{ - {{ b}} \pm \sqrt { {{ b}}^2 -4{{ a}}{{ c}}}}{2{{ a}}}\implies x=\cfrac{3i\pm\sqrt{(-3i)^2-4(1)(-9)}}{2(1)}
\\\\\\
x=\cfrac{3i\pm\sqrt{(-3)^2i^2+36}}{2}\implies x=\cfrac{3i\pm\sqrt{-9+36}}{2}
\\\\\\
x=\cfrac{3i\pm\sqrt{27}}{2}\implies \boxed{x=\cfrac{3i\pm 3\sqrt{3}}{2}}$

7 0

3 years ago

What is the value of this expression when A= 20 question: 5a

Mademuasel [1]

The answer is 100 because 5(20) equals 100

5 0

4 years ago

A recipe calls for 2 1/2 cups of flour. The recipe makes 5 servings.How many cups of flour are needed to make 7 servings.

iVinArrow [24]

Answer:

3 1/2 cups of flour

Step-by-step explanation:

I used this equation:

2.5/5 = x/7

Then I cross multiplied:

2.5 * 7 = 5x

After I found out that x = 3 1/2

3 0

3 years ago

You want a snack. One cookie has 130 calories. An orange has 35 calories. What is the ratio of the calories in an orange to the

MrMuchimi

We want the ratio of calories of an orange to a cookie and are told that an orange has 35 calories and a cookie has 130 so:

O:C=35:130

The greatest common factor of 35 and 130 is the product of the shared primes of the numbers prime factorization.

35=5*7 and 130=2*5*13, so the GCF is just 5, so divide each term by 5

O:C=7:26

7 0

3 years ago