Simplify to a single power of 6:

Answer:

x = -3

Step-by-step explanation:

Okay, the first thing to do is get that 8 away from the fraction. How can we do it? When you have 2³ you have 8, is the same thing, so let's do it:

2³⁰/(2³)⁹ = 2^x

When you have a number with the shape (a^x)^y, you can write it as a^(x•y), so:

(2³)⁹ = 2^3•9 = 2²⁷

Now we have:

2³⁰/2²⁷ = 2^x

When you have a division like this: (a^x)/(a^y), you can write it as a^(x-y), so:

2^(30-27) = 2^x

2^-3 = 2^x

Now you know that x = -3

Answer:

B

Step-by-step explanation:

Have a wonderful day

Answer:

$749.89

Step-by-step explanation:

TV price = 100% = 695.95

Sales TAX = 7.75% = x

Total price = 107.75% = x dollars

1.0775 * 685.95 = 749.886125 ≈ 749.89

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

D I believe

Step-by-step explanation:

I may not be correct, but i hope this helps!

Answer:

Step-by-step explanation:

The given an = -4 + (n - 1)7 is already an arithmetic sequence with first term -4 and common difference 7.  A more proper form would be an = -4 + 7(n - 1).

The first five terms of this sequence are {-4, 3, 10, 17, 24}

Answer:

18 and if I round it off to the nearest tenth it will be 20

just so you know I'm not that good at maths

Answer:

r≈5.09cm

Step-by-step explanation:

Answer:

(x-4) (x-2)

Step-by-step explanation:

x^2−6x+8

What 2 numbers multiply to 8 and add to -6

-4*-2 = -8

-4+-2 = -6

(x-4) (x-2)

Answer:

The Coordinates are (3, 1)

Step-by-step explanation:

Use the substitution method to solve the system of equations.

Let y = x - 2 be Equation 1

Let y = -2x + 7 be Equation 2

We know that the coordinates are (3, 1) because we graphed the slope intercept equations in part one. Its asking to use the substitution method to prove that the coordinates (3, 1) are viable or satisfies both Equation 1 and 2.

The substitution method is nothing but substituting x and y back into the equation to prove that the coordinates are viable.

For this I'll use equation 1 first,

y = x - 2

1 = 3 - 2

So yes, the coordinates (3, 1) satisfy Equation 1

Lets check equation 2 now,

y = -2x + 7

1 = -2*3 + 7

1 = -6 + 7

This is also another equation where the coordinates (3, 1) satisfy equation 2

So this means that the coordinates (3, 1) are viable for both equations

Hope this helps!

Answer:

y = 5/3x + 48

Step-by-step explanation:

y2 - y1 / x2 - x1

28 - 8 / -12 - (-24)

20 / 12

5/3

y = 5/3x + b

8 = 5/3(-24) + b

8 = -40 + b

48 = b

Answer:$p$ =$4 when $q=49$.

Step-by-step explanation:

If $p$ and $q$ are inversely proportional, then mathematically, they are represented as

$p$ ∝ 1/$q$

So that introducing the constant of proportionality,k becomes

$p$ =k 1/$q$

$p$ =k /$q$

When $p=28$ when $q=7$,K becomes

$p$ =k /$q$

$28=K/ $7

k=$28 x $7 =$196

Now when $q=49$.,  $p$ becomes?

$p$ =k /$q$

$p$ =$196/49$

$p$ =$4

Answer:

Step-by-step explanation:

let the numbers be n,n+2,n+4

2n+3(n+2)=2(n+4)+55

2n+3n+6=2n+8+55

2n+3n-2n=63-6

3n=57

n=57/3=19

so numbers are 19,21,23

Answer:

-19.333…

-18.333…

-17.333…

Step-by-step explanation:

First is x

Second is x+1

Third is x+2

2x+3(x+1)=2(x+2)-55

2x+3x+3=2x+4-55

5x+3=2x-51

5x-2x=-51-3

3x=-58

3x/3=-58/3

x=-19.333…

x+1=-19.333+1

=-18.333...

x+2=-19.333+2

=-17.333...

Step-by-step explanation:

using the formula (y2-y1)/(x2-x1)we plug the numbers In the slop formula (6--4)/(-1--5)= 10/4

Answer:

Step-by-step explanation:

(x1,y1)= (-5,-4)

(x2,y2)=(-1,6)

Distance=√(x2-x1)²+(y2-y1)²

=(-1-5)²+(6-4)²

=(-6)²+(10)²

=36+100

=136 answer,,

therefore, the slope of the line is 136unit

Answer:

False

Step-by-step explanation:

The definition given is that of an equilateral triangle, NOT that of an isosceles triangle. An isosceles triangle has at least two angles that are equal by definiton. They need not be 60 degrees. For example, a triangle with angle measures of 140, 20, and 20 is an isosceles triangle because two of the angles are equal. Hope this helped!

Answer:

Let the set be X.

X = {x ∈ N  : 2x < 15}

X = {2, 4 , 6 , 8 , 10, 12 , 14}

Answer:

Total number of orders = 77,520

Step-by-step explanation:

Given:

Number of students on team = 20

Number of students on the starting line =9

Find:

Total number of orders

Computation:

Total number of orders = 20! / [20 - 7]!(7!)

Total number of orders = 20! / [13]!(7!)

Total number of orders = [20 x 19 x 18 x 17 x 16 x 15 x 14] / [7 x 6 x 5 x 4 x 3 x 2 x 1]

Total number of orders = 77,520

The number of different ways that the list can be written will be 167,960.

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

A coach writes the batting order of his starting 9 out of the team of 20 on a piece of paper.

The number of different ways that the list can be written will be

²⁰C₉ = 20! / [(20 - 9)! x 9!]

²⁰C₉ = 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11! / (11! x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)

²⁰C₉ = 167,960

The number of different ways that the list can be written will be 167,960.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

#SPJ2

Answer:

The correct answer is B. Jonas is correct because an equilateral triangle has 3 acute angles and all sides the same lenght

Answer:

17

Step-by-step explanation:

t^2 + m^2 = 64

(t+m)^2 = 98

(t+m)^2 = t^2 +2tm+ m^2

==>

t^2 +2tm+ m^2 = 98

t^2+m^2+2tm=98

64+ 2tm=98

2tm = 98 -64

2tm=34

tm= 34/2

tm = 17

Answer:

5.24m

Step-by-step explanation:

volume of a cone = (1/3)πr²h

= (1/3)×(22/7)×1²×5

= 5.24m

T is the midpoint of PQ

PT=TQ

5x+7 = 7x-7

2x= 14

x= 14/2

x= 7

PT = 5(7)+7 = 42

Answer: Algebraic Expression *-* :)))))) Hope your day is well!!!

"Algebraic Expression" is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; that can be used to indicate the logical syntax's order of operations and other features.

"Algebraic Expression" is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.

To know more about an expression follow;

brainly.com/question/19876186

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Answer:

[tex]-\frac{5}{2}[/tex]

Step-by-step explanation:

G(-6 , 2) = (x1 , y1)

J(-4 , -3) = (x2 , y2)

slope = y2 - y1/x2 - x1

=-3-2/-4-(-6)

=-5/-4+6

=-5/2

Answer:

A

Step-by-step explanation:

For a number to be written in scientific notation, you need to have it in the form:

a x 10^n

Where a is between 1 and 10(not including 10), and n is an integer. We can notice that in option A, 0.1(a) is not between one and ten, so it is not in scientific notation.

Answer:

x = 2.69 or x = -0.19

Step-by-step explanation:

Given:

2x² − 5x − 1 = 0

x = {-b ± √b² - 4ac} / 2a

a = 2

b = -5

c = -1

x = {-b ± √b² - 4ac} / 2a

= {-(-5) ± √(-5)² - 4(2)(-1)} / 2 * 2

= {5 ± √25 - (-8)} / 4

= {5 ± √25 + 8} / 4

= 5 ± √33 / 4

= 5 ± 5.75 /4

x = 5/4 + 5.75/4 or x = 5/4 - 5.75/4

x = 10.75/4 or x = -0.75/4

x = 2.69 or x = -0.19