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Answer: 180

Step-by-step explanation:

This is just testing if you know the sum of cubes formula:

[tex]a^3 + b^3 = (a+b)(a^2 - ab + b^2) = (a+b)((a+b)^2 - 3ab)[/tex]

Plugging in the respective values, you get

[tex]a^3 + b^3 = (6)(6^2 - 3(2)) = \boxed{180}[/tex]

[tex]x = 3[/tex]

[tex]a(3) \: + \: 3 {}^{2} - 152 - 18[/tex]

[tex]3a \: + \: 9 \: - 134[/tex]

[tex]3a \: - 134 + 9[/tex]

[tex]3a - 143[/tex]

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Hi there!

We're given that x=√3, and we want to find the value of [tex]x^4[/tex]

We can substitute √3 as x, and then raise it to the 4th power, but if you don't know what that number is, it might be difficult to figure it out.

An easier way would be to write [tex]x^4[/tex] as x² * x², which in that case, we can multiply √3 by itself, multiply √3 by itself again, and then multiply those 2 numbers together.

If we do it this way, it'll look something like this (remember: x² is equal to x*x, or (x)²:

(√3)² * (√3)²

The order of operations will ask us to first take care of what's in the parentheses, and then to raise the numbers to their powers. Starting with the number on the left of the multiplication sign,

(√3)² = (√3)(√3)=3

And then the number on the right of the multiplication sign:

(√3)² = (√3)(√3)=3

Substitute these numbers in as (√3)² and (√3)²:

3 * 3 = 9

Therefore, x² * x², or [tex]x^4[/tex] is equal to 9

Hope this helps!

Answer:

942.48

Step-by-step explanation:

Answer:

315,000

Step-by-step explanation:

(50,000+20,000)+(35,000+20,000)+(40,000+20,000)=185,000

500,000-185,000=315,000

Answer:

401 r 20

Step-by-step explanation:

Answer:

6ft: 25.667ft   /   7ft: 22ft

Step-by-step explanation:

Since the question shows 7ft but the diagram shows 6ft I will show how to do both

FOR 6FT

Justin's height remained the same at 5'6" (or 5.5ft) and the distance between him and the mirror was 6ft

Now if we assume the triangles are congruent to each other, then set sides A and C equal to each other and solve for x

6/28 = 5.5/x

6x = 154

x = 25.667ft

FOR 7FT

Same process as before, replace 6 with 7

7/28 = 5.5/x

7x = 154

x = 22ft

Answer:

the answer is 15/17

because cosine=b/h=UV/UW=15/17

Answer:

that isnt the full question like what is the area of the pan and stuff

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Based on the information given in the question, the inequality which can be used to determine x, the number of people who can go to the amusement park will be:

8 + 38(x) ≤ 160

8 + 38x ≤ 160

38x ≤ 160 - 8

38x ≤ 152

x ≤ 152/38

x ≤ 4

The number of people that can go to the amusement park will be at most 4.

Hence the answer is 4.

the answer is 1/6 bbbbbbbbb

Step-by-step explanation:

bring both fractions to the same denominator (bottom number). then we can readily compare our add or subtract them.

what is the snaked common multiple of 2 and 3 (the smallest number that can be divided without remainder by both numbers)?

it is 6 (in case of doubt simply multiply both numbers and use the result as common denominator).

so, we need to bring both to fractions in the form .../6.

2/3 = 4/6

1/2 = 3/6

so,

4/6 - 3/6 = 1/6

and that is the answer to the original question.

The answer is about 4.1.

Answer:

100x + 150y = 3050

x + y = 23

Step-by-step explanation:

the other answer had the right start and equations, and then did not give the result.

so, here the full picture :

x + y = 23

100x + 150y = 3050

so, the first equation gives us

x = -y + 23

which we can now use in the second equation

100(-y + 23) + 150y = 3050

-100y + 2300 + 150y = 3050

50y = 750

y = 15 (15 adults)

x = -y + 23 = -15 + 23 = 8 (8 minors)

Answer:

Than the other one is a good idea for the angle measured

Measures of angles 3 and 6 is 60°

Parallel lines are those straight lines that are always the same distance apart from each other.

Given that, line m is parallel to line n and m ∠ 3 = (7x-10) and m ∠ 6=(5x+10)

Since m ║ n then

m ∠ 3 = m ∠ 6

(7x-10) = (5x+10)

2x = 20

x = 10

m ∠ 3 = 7x-10 = 7*10 - 10 = 60°

m ∠ 6 = (5x+10) = 5*10 + 10 = 60°

Hence, Measures of angles 3 and 6 is 60°

For more references on Parallel lines, click;

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Answer:

option d

Step-by-step explanation:

7:3 is the same as 28:12 which means that m is 28

Answer:

so x = 80

Step-by-step explanation:

Any triangle, no matter what type will add up to a total of 180, so 70+30= 100, and you now subtract that 100 from 180 and you 80

Answer:

No

Step-by-step explanation:

Some rhombus doesn’t have all 90 degrees angles and that is an requirement for rectangles.

m=3-1/3+2=2/5

Equation of line in point slope. form

[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]

[tex]\\ \sf\longmapsto y-1=2/5(x-(-2))[/tex]

[tex]\\ \sf\longmapsto y-1=2/5(x+2)[/tex]

[tex]\\ \sf\longmapsto 5y-5=2x+4[/tex]

[tex]\\ \sf\longmapsto 2x-5y+9=0[/tex]

The equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).

The slope of a line is defined as the angle of the line.

Given that line passes through the points (-2, 1) and (3, 3)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = -2, y₁ = 1

x₂ = 3, y₂ = 3

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 1 = (3 - 1)/(3-(-2))[x -(-2)]

⇒ y - 1 = (2)/(5)[x+2]

⇒ y - 1 = 2/5(x -3)

⇒ y = (2/5)x - 6/5 + 1

⇒ y = (2/5)x - 1/5

Therefore, the equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).

Learn more about the Lines here:

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Answer:

3375

Step-by-step explanation:

Answer:

Step-by-step explanation:

Line A:

Mark two points in line A.

(1,3) & ( 2 , 5)

[tex]Gradient =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{5-3}{2-1}=\dfrac{2}{1}\\\\\\= 2[/tex]

Line B:

(0,5) ; (5,0)

[tex]Gradient = \dfrac{0-5}{5-0}=\dfrac{-5}{5}=-1[/tex]

Answer:

r = ± [tex]\sqrt{q^2-p^4[/tex]

Step-by-step explanation:

p² = [tex]\sqrt{q^2-r^2}[/tex] ( square both sides )

(p² )² = q² - r²

[tex]p^{4}[/tex] = q² - r² ( subtract q² from both sides )

[tex]p^{4}[/tex] - q² = - r² ( multiply through by - 1 )

q² - [tex]p^{4}[/tex] = r² ( take square root of both sides )

± [tex]\sqrt{q^2-p^4}[/tex] = r

Answer:

1 ft^3

Step-by-step explanation:

Answer:

1 ft^3

Step-by-step explanation:

Volume = Length x Width x Height, so 1x1x1. For volume ft would be cubed.

Answer:

3 / 4

Step-by-step explanation:

9 = 3 x 3

12 = 3 x 4

9 / 12

= ( 3 x 3 ) / ( 3 x 4 )

= 3 / 4

Answer:

3/4

Step-by-step explanation:

9= 3×3

12= 3×4

9/12

= (3×3) / (3×4)

= 3/4

Answer:

64h^2.

Step-by-step explanation:

4 ^3 = 64

h(2/3)^3 = h ^(3*2/3) = h^2.

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

In pic

Answer:

Step-by-step explanation:

To write the equation for f(x) in slope-intercept form, you need to know the slope and the y-intercept. The y-intercept is the value of f(x) when x=0. You can read this directly from the table.

The slope is the ratio of the change in f(x) to the change in x. It can be computed using the formula ...

  m = (y2 -y2)/(x2 -x1)

where (x1, y1) and (x2, y2) are any two pairs of numbers from the table. You can use the first two table rows, for example.

__

1. m = (10 -4)/(3 -0) = 6/3 = 2; y-intercept = 4 (from ordered pair (0, 4))

  y = mx +b . . . . line with slope m and y-intercept b

  f(x) = 2x +4

__

2. m = (2 -(-3))/(0 -(-1)) = 5/1 = 5

  f(x) = 5x +2

__

3. m = (11 -19)/(0 -(-2)) = -8/2 = -4

  f(x) = -4x +11

__

4. same as 3.