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ruslelena [56]
3 years ago
11

What’s the correct mathematical expression for 2 groups of z

Mathematics
1 answer:
antoniya [11.8K]3 years ago
4 0

Answer:

2z = 2 groups of z

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Is domain of f(x,y) = 1 + (4 -y^2)^1/2 open, closed or neither<br><br> is it bounded or unbounded?
omeli [17]

Answer:

Closed and Bounded.

Step-by-step explanation:

Hi there!

1) Let's start by finding the values in which the function is defined. Remember that this can be rewritten:

f(x,y) = 1 + (4 -y^2)^{\frac{1}{2}} \:id\:est\:f(x,y)=1+\sqrt{(4 -y^2)}

Since every quadratic root are defined for values \geq 0  then, this help us to understand that we need calculate what interval this Domain is:

4-y^{2} \geq 0\\4-y^{2}-4\geq -4\\-y^{2}\geq-4 \\y^{2}\leq4\\-2\leq y\leq 2

D=[-2,2]

2) Graphically speaking, the domain is closed. For the values -2 and 2 are included, and bounded.

Bounded functions have all of their points contained by some circle origin centered. Check it out below.

6 0
3 years ago
Cyruer.
Maslowich

Answer:

Hello,

Step-by-step explanation:

Area of the sphere:

S=4*\pi *r^2

Volume of the sphere:

V=\dfrac{4*\pi *r^3}{3}

\dfrac{S}{3} =\dfrac{V}{7} \\\\\dfrac{4*\pi *r^2}{3} =\dfrac{4*\pi *r^3}{3*7} \\\\1=\dfrac{r}{7} \\\\\\r=7\\\\great \ circle: 2*\pi* r=14*\pi\\

Volume=\dfrac{4*\pi *7^3}{3} =\dfrac{1372*\pi }{3} \approx{1436,7550...(cm^3)}

4 0
2 years ago
8(t+2)-3(t-4)=6(t-7)+8
kaheart [24]
PEMDAS
the first thing is multiply or distribute
a(b+c)=ab+ac
8(t+2)=8t+16
-3(t-4)=-3t+12
6(t-7)=6t-42
the equation comes out to
8t+16-3t+12=6t-42+8
add like terms
5t+28=6t-34
subtract 5t from both sides
28=t-34
add 34 to both sides
62=t
7 0
3 years ago
How do I solve for x :<br> 2(x-5)^2+13=31
Setler [38]
                         2(x - 5)² + 13 = 31
                 2(x - 5)(x - 5) + 13 = 21
        2(x(x - 5) - 5(x - 5)) + 13 = 21
2(x(x) - x(5) - 5(x) + 5(5)) + 13 = 21
        2(x² - 5x - 5x + 25) + 13 = 21
             2(x² - 10x + 25) + 13 = 21
     2(x²) - 2(10x) + 2(25) + 13 = 21
               2x² - 20x + 50 + 13 = 21
                       2x² - 20x + 63 = 21
                       <u>                - 21  - 21</u>
                       2x² - 20x + 42 = 0
             2(x²) - 2(20x) + 2(21) = 0
                     <u>2(x² - 20x + 21)</u> = <u>0</u>
                                 2               2
                         x² - 20x + 21 = 0
                                            x = <u>-(-20) +/- √((-20)² - 4(1)(21))</u>
                                                                      2(1)
                                            x = <u>20 +/- √(400 - 84)</u>
                                                               2
                                            x = <u>20 +/- √(316)
</u>                                                            2
                                            x = <u>20 +/- 2√(79)</u>
                                                            2
                                            x = 10 <u>+</u> √(79)
                                            x = 10 + √(79)  U  x = 10 - √(79)
<u />
3 0
3 years ago
Given the function f(x) = The quantity of 4x minus 2, divided by 3, which of the below expressions is correct?
Eddi Din [679]
This doesn't make since where is the following questions
8 0
3 years ago
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