which number is rational

[tex]3\sqrt{578}-\sqrt{162}+4\sqrt{32}=\\\\=3\sqrt{289\cdot2}-\sqrt{81\cdot2}+4\sqrt{16\cdot2}=\\\\=3\sqrt{17^2\cdot2}-\sqrt{9^2\cdot2}+4\sqrt{4^2\cdot2}=\\\\=3\cdot17\sqrt2-9\sqrt2+4\cdot4\sqrt2=\\\\=51\sqrt2-9\sqrt2+16\sqrt2=51\sqrt2+7\sqrt2=\boxed{58\sqrt2}[/tex]

Answer:

yes, it is 10 times as great

Answer:

C. angle 7

Step-by-step explanation:

...............

Answer:

[tex]x+y=19500,\:0.08x+0.15y=2400\quad :\quad x=7500,\:y=12000[/tex]

Step-by-step explanation:

x + y = 19500

.08x + .15y = 2400

Answer:

sides = 61.5 yd

Step-by-step explanation:

hopefully the picture I have attached us clear and understandable

:)

-x - 10 > 14 + 2x

-x - 2x > 14 + 10

-3x > 24

Answer: A

Hey there! Here's your answer:

The missing steps are :  -3x > 24

Here's why:

The inequality is: -x - 10 > 14 + 2x

Now, we need to find the solution of the given inequality:

= x - 10 > 14 + 2x

Subtracting 2x from both the sides:

= -x - 10 - 2x > 14 + 2x - 2x

= -3x - 10 > 14

Adding 10 on both the sides:

= -3x - 10 + 10 > 14 + 10

= -3x > 24

Now, dividing both the sides by -3:

= x < -8

Therefore, the missing steps are:  -3x > 24

Hope this helps!

Answer:

No

Step-by-step explanation:

if your asking is 10 to the power of 4 is 1000000000000, it is not. 10 to the power of 4 is 10000

Answer:

The slope is 9

The y intercept is (0,7)

Step-by-step explanation:

y=9x+7

The equation is written in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is 9

The y intercept is (0,7)

Answer:

x < 6

Step-by-step explanation:

5x - 10 < 20

5x < 30

x <6

hope that helps

9514 1404 393

Answer:

  4983

Step-by-step explanation:

Your answer could be any value between 4950 and 5049, inclusive. Below 4950 rounds down; 5050 and above rounds up.

Answer:

4= -5v-1

5= 3x

6= 9y-6

7= h-20

8= 29w-17z

9= 8mn-2n+5m

Step-by-step explanation:

first three that you did were correct! Hope it helps!

Answer:

Step-by-step explanation:

Every other one beginning with the first 3 adds 3 to the preceding number that has an odd position.

So the odd positions go up 3 6 9 12

And the next odd position is 15 which is the nineth term.

It's hard to tell what the even ones are doing. It could be anything just about. I'm guessing its a 9. So the tenth term is 9.

The sum of 9 and 15 = 24

If someone gives you a more consistent answer, take it.

Answer:

the negative cancels out the positive

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\rm{LCM\ (aka\ Lowest\ Common\ Multiple)\ is\ the}}\\\huge\boxed{\rm{lowest\ positive \ number\ has \ a \ multiple}}}\\\huge\boxed{\rm{of\ more\ than\ one\ number.}}[/tex]

[tex]\huge\boxed{\rm{The\ multiples\ of\ 42\ are: 42, 84, 126, 168, \& \ 210}}[/tex][tex]\huge\boxed{\rm{The \ multiples \ of \ 63\ are: 63, 126, 189, \& \ 252}}[/tex]

[tex]\huge\boxed{\rm{Therefore, your\ answer\ is: 126}}}[/tex]

[tex]\huge\boxed{\text{Good luck on your assignment \& enjoy your day,}}[/tex]

9514 1404 393

Answer:

  3p +24 +162/(p-6)

Step-by-step explanation:

The result of the division can be found using polynomial long division, or using synthetic division. The latter requires less writing and gives the same answer:

  [tex]\dfrac{3p^2+6p+18}{p-6}=3p+24+\dfrac{162}{p-6}[/tex]

Answer:

22.078

Step-by-step explanation:

I have attached the images above

Answer:

B

Step-by-step explanation:

Recall that [tex]7^a\cdot 7^b = 7^{a+b}[/tex]

So now

[tex]7^{2/3} \cdot 7^{1/3}\\= 7^{\frac{2}{3}+\frac{1}{4}}\\=7^{\frac{8}{12}+\frac{3}{12}}\\=7^{11/12}[/tex]

The equivalent value of the expression is A = 7^ ( 11/12 )

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

Let the first number be p = 7 ^ ( 2/3 )

Let the second number be q = 7 ^ ( 1/4 )

And , A = pq

On simplifying , we get

A = 7 ^ ( 2/3 ) . 7 ^ ( 1/4 )

From the laws of exponents , we get

mᵃ×mᵇ = mᵃ⁺ᵇ

So , A = 7 ^ ( 2/3 + 1/4 )

A = 7 ^ ( 11/12 )

Hence , the equation is 7^ ( 11/12 )

To learn more about exponents click :

https://brainly.com/question/28966438

#SPJ2

Answer:

angle WVU

angle UVW

angle VUW

Step-by-step explanation:

Answer:

b. -14

Step-by-step explanation:

x is now 3

so -5(3)+1 = -14

Answer:

0.53

Step-by-step explanation:

Basically just go to your calculator and put in 8 divded by 15

Answer:

A) 30 months

B) RM282

Step-by-step explanation:

a1=50+(1-1)8

a1=50+(0)8

a1=50

a2=50+(2-1)8

a2=50+(1)8

a2=58

So this is true.

The formula is an=50(n-1)8

Hope this helps

Answer:

0...................

Step-by-step explanation:

0

Answer:

Use the given functions to set up and simplify f(−4).

14

Step-by-step explanation:

Plug x + h into the function f and simplify to find f(x + h). Now that you have f(x + h), find f(x + h) - f(x) by plugging in f(x + h) and f(x) and simplifying. Plug your result from step 2 in for the numerator in the difference quotient and simplify.

https://study.com/academy/lesson/how-to-solve-the-difference-quotient.html

9514 1404 393

Answer:

  k = 3

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

__

Using these rules, we can simplify the left-side expression, then equate exponents of the same base.

  [tex](3)^2(3^2)^k=3^8\\\\(3^2)(3^{2k})=3^8\\\\3^{2k+2}=3^8\\\\2k+2=8\qquad\text{equate exponents}\\\\k+1=4\qquad\text{divide by 2}\\\\\boxed{k=3}\qquad\text{subtract 1}[/tex]

Answer and Step-by-step explanation:

This graph is a One to One Function.

For a function to be one-to-one, each x value must have its own y-value, which is the case for this graph.

The y value of a point where a vertical line intersects a graph represents an output for that input x value. If you draw a vertical line on the graph, and it intersects more than once, then the graph does not define as a function because that x value has more than one output (y).

#teamtrees #PAW (Plant And Water)

I hope this helps!

the answer is in the photo

Answer:

2 4/25 hope that helped

Step-by-step explanation:

9514 1404 393

Answer:

  x = 2, x = 6

Step-by-step explanation:

The quadratic can be factored as ...

  x^2 -8x +12 = 0

  (x -2)(x -6) = 0

Solutions are the values of x that make these factors zero:

  x -2 = 0   ⇒   x = 2

  x -6 = 0   ⇒   x = 6

[tex]\dfrac{1}{6}:6=\dfrac{1}{6}\cdot\dfrac{1}{6}=\dfrac{1\cdot1}{6\cdot6}=\dfrac{1}{36}[/tex]

Answer:

Derivative of any constant is zero

you can solve it by first derivative rule

Answer:

Derivative of any constant is zero

Step-by-step explanation: