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Nonamiya [84]
3 years ago
9

1. What do you need to show in order to prove that a number is divisible by 3?

Mathematics
1 answer:
Sloan [31]3 years ago
6 0

Answer:

You can divide and see if its devided by 3, and if its not in the times table, you will have a decimal

Step-by-step explanation:

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What is the perimeter of triangle DEF
LuckyWell [14K]
Remember that A squared plus B squared equals C squared.

Since sides F_D and D_E are both 3, the answer cannot be 4.2 or 2.4.

SO basically you just add 3 + 3 = (The side F_E, which you can get by putting numbers in the formula), you should get your answer.

3² + 3² = Line EF²
9 + 9 = Line EF²
18 = Line EF²
√18

You get the idea. Hope this helps!
7 0
3 years ago
Read 2 more answers
2logx=3-2log(x+3) solve for x​
AVprozaik [17]

Answer:

\large\boxed{x=\dfrac{-3+\sqrt{40+10\sqrt{10}}}{2}}

Step-by-step explanation:

2\log x=3-2\log(x+3)\\\\Domain:\ x>0\ \wedge\ x+3>0\to x>-3\\\\D:x>0\\============================\\2\log x=3-2\log(x+3)\qquad\text{add}\ 2\log(x+3)\ \text{to both sides}\\\\2\log x+2\log(x+3)=3\qquad\text{divide both sides by 2}\\\\\log x+\log(x+3)=\dfrac{3}{2}\qquad\text{use}\ \log_ab+\log_ac=\log_a(bc)\\\\\log\bigg(x(x+3)\bigg)=\dfrac{3}{2}\qquad\text{use the de}\text{finition of a logarithm}\\\\x(x+3)=10^\frac{3}{2}\qquad\text{use the distributive property}

x^2+3x=10^{1\frac{1}{2}}\\\\x^2+3x=10^{1+\frac{1}{2}}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\x^2+3x=10\cdot10^\frac{1}{2}\qquad\text{use}\ \sqrt[n]{a}=a^\frac{1}{n}\\\\x^2+3x=10\sqrt{10}\qquad\text{subtract}\ 10\sqrt{10}\ \text{from both sides}\\\\x^2+3x-10\sqrt{10}=0\\\\\text{Use the quadratic formula}\\\\ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\a=1,\ b=3,\ c=-10\sqrt{10}\\\\b^2-4ac=3^2-4(1)(-10\sqrt{10})=9+40\sqrt{10}\\\\x=\dfrac{-3\pm\sqrt{40+10\sqrt{10}}}{2(1)}=\dfrac{-3\pm\sqrt{40+10\sqrt{10}}}{2}\\\\x=\dfrac{-3-\sqrt{10+10\sqrt{10}}}{2}\notin D

6 0
3 years ago
Use complete sentences to describe the domain of the cosine function.
Hatshy [7]
The domain of a function is the set of the possible input values of the function. For example: consider the function f(x) = cos x, the domain of the function is the set of possible values of x.

The cosine function takes x values from all real numbers.

Therefore, the domain of the cosine function is a real numbers.
6 0
3 years ago
Emery Mining Inc. recently reported $147,500 of sales, $75,500 of operating costs other than depreciation, and $10,200 of deprec
Molodets [167]

Answer:

net income is $48452.81

Step-by-step explanation:

Sales =$147500

subtract operating expenses

-$75500 =$72000

subtract non- operating costs

depreciation -$10200 =$61800

-interest expense payable (16500*7,23%)$1196.25=63603.75

from profit before tax deduct income taxes =63603.75*25%=15150.9375

Net Income is therefore $63603.75-$15150.9375 = $48452.81

6 0
4 years ago
Choose the multiples of 2.
IgorLugansk [536]
B)
2x6= 12
2x7= 14
2x8= 16
2x8= 18
3 0
3 years ago
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