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zepelin [54]
3 years ago
10

Simplify and write in exponential form (5⁶÷5⁸)³×5^-3​

Mathematics
1 answer:
Vlad [161]3 years ago
4 0

Answer:

Exact form:

1/1953125

Decimal form:

5.12x10^-7

Step-by-step explanation:

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In ΔEFG, e = 210 cm, f = 520 cm and g=510 cm. Find the measure of ∠G to the nearest degree. PLEASE VERY URGENT.
Olegator [25]

Answer:

76°

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
-1(x+5)=3[x+(2x-1)]<br> solved and justified each step
madreJ [45]

Answer:

<h2>x = -0.2</h2>

Step-by-step explanation:

-1(x+5)=3[x+2x-1)]\\\\\text{for}\ -1(x+5):\ \text{distribtutive property}\\\text{for}\ [x+(2x-1)]:\ \text{associative property}\\\\(-1)(x)+(-1)(5)=3[(x+2x)-1]\\-x-5=3(3x-1)\\\\\text{for}\ 3(3x-1):\ \text{distributive property}\\\\-x-5=(3)(3x)+(3)(-1)\\-x-5=9x-3\\\\\text{for the equation}:\ \text{addition property of equality}\\\\-x-5=9x-3\qquad\text{add 5 to both sides}\\-x-5+5=9x-3+5\\-x=9x+2\\\\\text{for the equation:}\ \text{subtraction property of equality}\\\\-x=9x+2\qquad\text{subtract}\ 9x\ \text{from both sides}

-x-9x=9x-9x+2\\-10x=2\\\\\text{for the equation:}\ \text{division property of equality}\\\\-10x=2\qquad\text{divide both sides by -10}\\\dfrac{-10x}{-10}=\dfrac{2}{-10}\\x=-0.2

\text{Distributive property:}\ a(b+c)=ab+ac\\\text{Associative property:}\ (a+b)+c=a+(b+c)

6 0
3 years ago
Determine whether each relation is a function. Give the domain and range for each relation.
brilliants [131]

Answer:

Not a function

Domain: {3,4}

Range: {4,5}

Step-by-step explanation:

A function is a relation where each input has its own output. In other words if the x value has multiple corresponding y values then the relation is not a function

For the relation given {(3, 4), (3, 5), (4, 4), (4, 5)} the x value 3 and 4 have more than one corresponding y value therefore the relation shown is not a function

Now let's find the domain and range.

Domain is the set of x values in a relation.

The x values of the given relation are 3 and 4 so the domain is {3,4}

The range is the set of y values in a relation

The y value of the given relation include 4 and 5

So the range would be {4,5}

Notes:

The values of x and y should be written from least to greatest when writing them out as domain and range.

They should be written inside of brackets

Do not repeat numbers when writing the domain and range

3 0
3 years ago
Expand and reduce (2+√3)^2
nasty-shy [4]

Answer:

7 + 4\sqrt{3}

Step-by-step explanation:

note that \sqrt{a} × \sqrt{a} = a

Given

(2 + \sqrt{3} )² = (2 + \sqrt{3} )(2 + \sqrt{3} )

Each term in the second factor is multiplied by each term in the first factor, that is

2(2 + \sqrt{3} ) + \sqrt{3}(2 + \sqrt{3} ) ← distribute both parenthesis

= 4 + 2\sqrt{3} + 2\sqrt{3} + 3 ← collect like terms

= 7 + 4\sqrt{3}

6 0
3 years ago
Isabel received 4/7 of the 210 votes for cast for class treasurer. How many votes did she receive? Write your answer in simplest
KengaRu [80]

Answer:

120 votes

Step-by-step explanation:

So one way to solve this is by creating an equation to solve for x.

So we are given 4/7, that will be one side of the equation.  

And we are trying to figure out how many votes out of the 210 she received, so on the other side of the equation we will have x/210, since we are solving for x.  

So 4/7 = x/210

We want to get x alone, so we can multiply 4/7 by 210, which equals 120.

So x equals 120!

8 0
3 years ago
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