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Bingel [31]
2 years ago
12

A diagram of a deodorant container is shown It is made up of a cylinder and half of a sphere. (Radius = 1.6) (Height=6.2) a.) wh

at is the volume of the half sphere b.) what is the volume of the cylinder c.) what is the volume of the whole figure
Mathematics
1 answer:
viva [34]2 years ago
6 0
A) 8.58 units
B)36.984 units
C)45.564 units
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Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation?
Nady [450]
For this case we have the following polynomial:
 x ^ 2 = 12x - 15

 The first thing to do is to place the variables on the same side of the equation.
 We have then:
 x ^ 2 - 12x = -15

 We complete the square by adding the term (b / 2) ^ 2 on both sides of the equation.
 We have then:
 x ^ 2 - 12x + (-12/2) ^ 2 = -15 + (-12/2) ^ 2

 Rewriting we have:
 x ^ 2 - 12x + (-6) ^ 2 = -15 + (-6) ^ 2

x ^ 2 - 12x + 36 = -15 + 36
 
(x-6) ^ 2 = 21
 x-6 =+/- \sqrt{21}
 Therefore, the solutions are:
 x = 6 - \sqrt{21}
 x = 6 + \sqrt{21}
 Answer:
 
the solution set of the equation is:
 
x = 6 - \sqrt{21}
 x = 6 + \sqrt{21}
3 0
2 years ago
Read 2 more answers
Complete the steps in order to write the inverse of f(x) = x + 5
algol13

Answer:

f^{-1}(x) = x - 5

Step-by-step explanation:

Let y = f(x) and make x the subject

y = x + 5 ( subtract 5 from both sides )

y - 5 = x

Change y back into terms of x, thus

f^{-1}(x) = x - 5

4 0
2 years ago
Holly's fitness tracker shows how many
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Holly would have to climb 92 flights of stairs in the fifth week
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2 years ago
According to the rational root theorem, which number is a potential root of f(x) = 9x8 9x6 – 12x 7?
yaroslaw [1]

The options of the problem are

A. 0\ B. \frac{1}{7}\ C. 2\ D. \frac{7}{3}

we have

9x^{8} +9x^{6} - 12x +7

we know that

<u>The Rational Root Theorem </u>states that when a root 'x' is written as a fraction in lowest terms

 x=\frac{p}{q} 

p is an integer factor of <u>the constant term</u>, and q is an integer factor of <u>the coefficient of the first monomial</u>.

So

in this problem

the constant term is equal to 7

and the first monomial is equal to 9x^{8} -----> coefficient is 9

therefore

<u>the answer is the option </u>

D. \frac{7}{3}

7 0
2 years ago
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Mr. Mole left his burrow and started digging his way down at a constant rate.
Iteru [2.4K]

Constant rate means it is linear so we don't have to worry about fluctuation.

change in y/ change in x=-18-(-25.2)/5-8=2.4 meters per second

6 0
2 years ago
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