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pshichka [43]
3 years ago
15

Can someone help with these 3?

Mathematics
1 answer:
adell [148]3 years ago
4 0
1) 5 +8i
2) 11+2i
3) 6i sqrt(2)
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ANSWER QUICK AND CORRECTLY AND I WILL MARK THE BRAINLIEST PLEASE HELP!!!!
ahrayia [7]

Answer:

c

Step-by-step explanation:

because I'm brainlyiest

6 0
3 years ago
A woman is q years old while her son is p years old. the sum of their ages is equal to twice the difference of their ages. the p
Allisa [31]

Step-by-step explanation:

Given

q + p = 2(q - p)

as equation 1.

I used q-p as the difference as logically the woman will be older than her son.

Also given,

qp = 675

as equation 2.

Using equation 2,

q =  \frac{675}{p}

substitute this equation into equation 1.

\frac{675}{p}  + p = 2( \frac{675}{p}  - p) \\  \frac{675}{p}  + p =  \frac{1350}{p}  - 2p \\  \frac{675}{p}   -  \frac{1350}{p}  =  - 2p - p \\  - 3p =  -  \frac{675}{p}  \\    - 3p \times p =  - 675 \\  - 3 {p}^{2}  =  - 675 \\  {p}^{2}  =  - 675 \div  - 3 \\  {p}^{2} = 225 \\ p =  \sqrt{225}   \\  = 15

Substitute P into equation 2.

15q = 675 \\ q = 675 \div 15 \\  = 45

Therefore the woman is 45 years old while her son is 15 years old.

3 0
3 years ago
What is the diameter of a sphere with a volume of 498 in3, to the nearest tenth of an inch
Romashka-Z-Leto [24]

Answer:

9.8 inches

Step-by-step explanation:

<h3>Formula for volume of the sphere is = 4/3πr³</h3><h3>Form and solve the equation for the radius</h3><h3>So: 4/3πr³= 498in³</h3><h3>πr³= 498in³*3/4 which = to 373.5in³</h3><h3>r³= 373.5in³/π</h3><h3>r=∛(373.5in³/π)</h3><h3>calculate r and times the result by 2 for diameter</h3><h3>it will be 9.834...</h3><h3>nearest tenth of an inch means the accuracy is 1 decimal place because nearest tenth= 1/10 or 0.1</h3><h3>So the final answer is 9.8in</h3>
3 0
4 years ago
Function f(x) = |x| is transformed to create function g(x) = |x - 7| + 2.What transformations are performed to function f to get
serg [7]

We will have the following:

*Function f is translated 7 units rigth.

*Function f is translated 2 units up.

6 0
1 year ago
The data show the traveler spend- ing in billions of dollars for a recent year for a sample of the states. Find the range, varia
Svetllana [295]

Solution :

Given data :

20.1     33.5     21.7      58.4     23.2     110.8     30.9

24.0    74.8     60.0

n = 10

Range : Arranging from lowest to highest.

20.1,   21.7,   23.2,    24.0,   30.9,    33.5,    58.4,    60.0,    74.8,   110.8

Range = low highest value - lowest value

           = 110.8 - 20.1

           = 90.7

Mean = $\frac{\sum x}{n}$

         $=\frac{20.1+21.7+23.2+24.0+30.9+33.5+58.4+60.0+74.8+110.8}{10}$

          $=\frac{457.4}{10}$

         $=45.74$

Sample standard deviation :

$S=\sqrt{\frac{1}{n-1}\sum(x-\mu)^2}$

$S=\sqrt{\frac{1}{10-1}(20.1-45.74)^2+(21.7-45.74)^2+(23.2-45.74)^2+(24.0-45.74)^2+(30.9-45)^2}$  

      \sqrt{(33.5-45.74)^2+(58.4-45.74)^2+(60.0-45.74)^2+(74.8-45.74)^2+(110.8-45.74)^2}

$S=\sqrt{\frac{1}{9}(657.4+577.9+508.0+472.6+220.2+149.8+160.2+203.3+844.4+4232.8)}$$S=\sqrt{\frac{1}{9}(8026.96)}$

$S=\sqrt{891.88}$

S = 29.8644

Variance = S^2

               =(29.8644)^2

               = 891.8823

6 0
3 years ago
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