Work out: 27^-(1/3).

Step-by-step explanation:

=> 7/(5√3-5√2) × (5√3+5√2)/(5√3+5√2)

=> 7(5√3+5√2)/75-50

=> (35√3+35√2)/25.

after rationalising the denominator is 25.

hope this helps you.

Answer:

The correct answer is C [tex]3\frac{8}{33}[/tex]

Solution by separating the parts:

[tex]3\frac{8}{33}[/tex] = 3 + [tex]\frac{8}{33}[/tex]

We know that [tex]\frac{8}{33}[/tex] is 8 ÷ 33.

Therefore: [tex]3\frac{8}{33}=[/tex] 3 + (8 ÷ 33)

You then would have to use "Long Division" for 8 divided by 33

= 3 + 0.242 = 3.242424242424...

Hence giving you 3.24 repeated which is C

P.S. the quiz either looks like a PVS exam form, or a virtual school exam/quiz, I'm able to work and help with any other further questions.

The amount of degrees in a polygon: 360

In a pentagon: 360 / 5 = 72

9x - 18 = 72     Add 18 to both sides

9x = 90               Divide by 9

x = 10

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Dilation by a factor of 1/2 about point S means each point moves to a position half as far from S as it was to begin with. Point S remains invariant. (Point S and S' are the same point.)

Answer:

108

108

0410404018404400

Answer:

g(f(1)) = -3

Step-by-step explanation:

First calculate f(1). In order to do that, you have to substitute 1 back into every “x” that you see in the “F” function.

F(1) = 2(1)^2+6(1)-8

= 2+6-8

= 0

f(1) = 0

Now that you’ve figured out that f(1) = 0. You can substitute 0 in order to find the answer to your question.

g(f(1)) = g(0) find g(0) the same way you found f(1)

g(0) = -3(0)-3 = -3

g(f(1)) = -3

The equation of the cell phone plan is y = 70 + 4x and the number of gigabyte is 1.10

The given parameters are:

Flat = $70 per month

Rate = $4 per gigabyte

Let the number of gigabyte be x, and the total cost be y.

So, we have:

y = Flat + Rate * x

So, we have:

y = 70 + 4x

When the bill is $74.40, we have:

74.40 = 70 + 4x

Subtract 70 from both sides

4x = 4.40

Divide both sides by 4

x = 1.10

Hence, the equation is y = 70 + 4x and the number of gigabyte is 1.10

Read more about linear equations at:

https://brainly.com/question/14323743

#SPJ4

Answer:

the can reach up to 4.6 m

Answer:

$1.50 was the total tip.

Step-by-step explanation:

Divide the total ($8.33) by 100

multiply the answer (0.0833) by the percentage (18)

you get $1.4994 to be exact, but we will round that to $1.50.

Answer:

Step-by-step explanation:

500g=500g

432kg=43200g

43200-500=42700g

answer 42700g

Answer:

Point Form: [tex](-\frac{39}{25} , \frac{29}{25} )[/tex]

Equation Form: [tex]x=-\frac{39}{25} , y=\frac{29}{25}[/tex]

Step-by-step explanation:

Using its matrix, you are going to solve with

Write both equations in standard form. ...

Make the coefficients of one variable opposites. ...

Add the equations resulting from Step 2 to eliminate one variable.

Solve for the remaining variable.

Substitute the solution from Step 4 into one of the original equations.

Answer:

5,000,000

Step-by-step explanation:

10 x 10 x 10 x 10 x 10 x 10 = 1,000,000

1,000,000 x 5 = 5,000,000

Answer:

5 Mg

Step-by-step explanation:

The metric prefix associated with [tex]10^{6}[/tex] is Mega (M).

This can be written as 5 Mg.

[tex]\displaystyle \frac{7a}{9bc} \div\frac{21a}{12b} =\frac{\backslash\!\!\!\!7a}{9 \backslash \!\!\!b \ c} \cdot \frac{4\backslash\!\!\!b}{\backslash\!\!\!\!7a} =\boxed{\frac{4}{9c} }[/tex]

Answer:

h(5.5) = 2550

Step-by-step explanation:

when something is put inside of the parenthesis in a function like h(x) or f(x), it goes where the x is so the equation would look like this

900 + 300(5.5), 900 + 1650 = 2550

Answer:

toyota innova 2.8 G A/T 2021 4x1

Answer:

find two percent of 23358=467.18

minus the two percent from her salary 23358

23358-467.18=22890.84

please mark branliest

Answer:

Yes, you did really good actually.

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

Simplifying 5x + -7 = 2x + 8 Reorder the terms: -7 + 5x = 2x + 8 Reorder the terms: -7 + 5x = 8 + 2x Solving -7 + 5x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 5x + -2x = 8 + 2x + -2x Combine like terms: 5x + -2x = 3x -7 + 3x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 3x = 8 + 0 -7 + 3x = 8 Add '7' to each side of the equation. -7 + 7 + 3x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 8 + 7 3x = 8 + 7 Combine like terms: 8 + 7 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5

Answer:

The average lifetime cost of owning a cat ranges from $5,000 to $23,000

Answer:

The average lifetime cost of owning a cat ranges from $5,000 to $23,000.

Step-by-step explanation:

hope it helps

mark me brainliest pls

Answer:

True

Step-by-step explanation:

(-1,4) = (x,y)

This means if "x = -1, then y should be 4"

y = 3x + 7

y = 3(-1) + 7

y = -3 + 7

y = 4

It is saying if x is -1, y is 4. This statement of "Is (-1,4) a solution to the graph of "y = 3x + 7?" Is true. You can also graph this and find the point (-1,4) and it would be on the line.

:D Hope it Helps (I dunno why I put it on this answer box now)

Answer:

Yes.

Step-by-step explanation:

Note that the point:

(x , y) = (-1 , 4)

x = -1

y = 4

Plug in the corresponding numbers for the corresponding variables in the given equation:

y = 3x + 7

(4) = 3(-1) + 7

Remember to follow PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis, Exponent (& Roots), Multiplication, Division, Addition, Subtraction.

First, multiply 3 with -1:

4 = (3 * -1) + 7

4 = -3 + 7

Next, simplify by adding -3 with 7:

4 = (-3 + 7)

4 = 4

Yes. (-1 , 4) is a solution for y = 3x + 7, as the two sides of the equation equal.

~

Steps are in the attatchment. My answer to a assignment the same as this.

Answer:

25

Step-by-step explanation:

Answer:

The answer is 25

Step-by-step explanation:

Answer:

The value of Mary's investment after two years = £12362.7

Step-by-step explanation:

P = Principal / initial amount

R = rate of interest per cent per year

T = number of years

A = final amount at the end of T years

Then:

A = P*(1 + R/100)^2

In our example:

P = £12000

R = 1.5 per cent per year

T = 2 years

Thus:

A = 12000*(1 + 1.5/100)^2

  = 12000*(1 + 0.015)^2

  = 12000*(1.015)^2

   = 12000*(1.030225)

   = 12362.7

Value of investment after two years = £12362.7

Answer:

irrational number

Step-by-step explanation:

An irrational number cannot be written as a ratio of two integers

Answer:

[tex] \sqrt{18} [/tex]

bc its result equals 4.242640687

Answer:

C [tex]\sqrt{16}[/tex] (Perfect square)

Step-by-step explanation:

Square root of 15 it will be 3.8..but doesn't repeat

Square root of 16 is 4 (perfect square)

Square root of 17 is 4.123... doesn't repeat or stop

Square root of 18 is 4.242.. but doesn't repeat or stop.

--

A rational number can be expressed as a ratio or a fraction.

--

16 can be expressed as a fraction the other numbers keep going meaning never stop.

Answer:

p= 4.59

Step-by-step explanation:

Hope this helped :)

Answer:

9/11

Step-by-step explanation:

pick two points.

(x,y)

(5,4) and (-6,-5)

do rise/run (y2-y1/x2-x1)

4-(-5)/5-(-6)

subtracting a negative gives you a positive, so

4+5/5+6

9/11

Answer:

It will cost $65.

Step-by-step explanation:

A dozen is 12. To find how much it will cost, we can divide the bouquet by 12.

39 ÷ 12 = 3 r3

with the remainder, we can

12 ÷ 3 = 4

3 is 1/4 of 12.

So we can multiply the price of bouquet by 1/2 to find the remainder's price. The whole equation would look like this:

(3x20) + (1/4 x 12)

60 + (1/4 x 20)

60 + 5

65

The answer is 65.

Given :-

To Find :-

Answer :-

The given function is ,

Substitute f(x) = 21 ,

Answer:

input = 8

Step-by-step explanation:

x is the input and f(x) is the output

Given f(x) = 2x + 5 and f(x) = 21 , then equating gives

2x + 5 = 21 ( subtract 5 from both sides )

2x = 16 ( divide both sides by 2 )

x = 8

That is the input is 8

Answer:

vertex: (1, –8)

Step-by-step explanation:

[tex]a=3 \\b=-6\\c=-5[/tex]

rewrite equation in vertex form: [tex]y=a(x-h)^2+k[/tex]

1. factor out 3

[tex]y=3x^{2} -6x-5\\y=3(x^{2}-2x)-5\\[/tex]  

2. complete the square using [tex](\frac{b}{2} )^{2}[/tex]:

[tex](\frac{-2}{2})^2=1[/tex]

3. add the answer from step 2 to inside the parenthesis to create a factorable trinomial. subtract the answer from step 2 from –5 and multiply it by a. remember: a = 3

[tex]y=3(x^{2} -2x+1)-5-1(3)\\y=3(x-1)(x-1)-8\\y=3(x-1)^2-8[/tex]

4. find vertex

[tex]x-1=0\\x=1[/tex]       [tex]y=-8[/tex]

vertex = [tex](1,-8)[/tex]