what is the solution set for the open sentence with the given replacement set x2 +12 = 8x, 2 4 5 8

[tex](2+4i)^3=8+48i-96-64i=-88-16i[/tex]

note that (a + b)³ = a³ + 3a²b + 3ab² + b³

(2 + 4i)³ ← with a = 2 and b = 4i noting that i² = (√-1)² = -1

= 2³ + (3 × 4 × 4i ) + ( 3 × 2 × 16i² ) + ( 4i )³

= 8 + 48i  - 96 - 64i

= - 88 - 16i

r =√ ( A / 4π )

given A = 4πr² ( isolate r² by dividing both sides by 4π )

A / 4π = r² ( take the square root of both sides )

r =√( A / 4π )

Answer:

The expression of r in terms of A is:

[tex]r=\sqrt{\dfrac{A}{4\pi}}[/tex]

Step-by-step explanation:

We are given the surface area, A, of a sphere in terms of its radius, r, as:

A(r) = 4πr²

[tex]A=4\pi\ r^2[/tex]

⇒ [tex]r^2=\dfrac{A}{4\pi}[/tex]

⇒ [tex]r=\sqrt{\dfrac{A}{4\pi}}[/tex]

Hence, the expression of r in terms of A is:

[tex]r=\sqrt{\dfrac{A}{4\pi}}[/tex]

Answer:

1. D

2. A

Step-by-step explanation:

To determine the type of line, find the slope.

1. Find the difference in y values over the difference in x values. Calculate the slope using the formula:

[tex]\frac{y_2-y_1}{x_2-x_1} = \frac{6-2}{4-6}=\frac{4}{-2}=-2[/tex]

[tex]\frac{y_2-y_1}{x_2-x_1} = \frac{1--1}{1-5}=\frac{2}{-4}=\frac{-1}{2}[/tex]

These are reciprocals of each but not the negative or opposite signs of each other. This is none.

2. Find the difference in y values over the difference in x values. Calculate the slope using the formula:

[tex]\frac{y_2-y_1}{x_2-x_1} = \frac{6-0}{4-7}=\frac{6}{-3}=-2[/tex]

[tex]\frac{y_2-y_1}{x_2-x_1} = \frac{3-1}{5-1}=\frac{2}{4}=\frac{1}{2}[/tex]

These are reciprocals of each and the negative or opposite signs of each other. These are perpendicular.

6f - 12 = -4f + 6

Add 4f to both sides.

10f - 12 = 6

Add 12 to both sides.

10f = 18

Divide both sides by 10.

f = 1.8 = 1 4/5

The "meter" is a larger unit than the "centimeter." Every time you need to convert a larger metric unit to a smaller one, you must multiply to find a greater value.

there are 100 cm in a meter so the fraction would be 8/100 or simplified 2/25

Christine has $20, Manuel has $60 and Henry has $29

let x be the amount Christine has then

Manuel has 3x and Henry x + 9

summing the amounts gives the equation

x + 3x + x + 9 = 109

5x + 9 = 109 ( subtract 9 from both sides )

5x = 100 ( divide both sides by 5 )

x = 20

thus Christine has $29, Manuel has (3 × 20 ) =$60 and

Henry has 20 + 9 = $29

check : 20 + 60 + 29 = 109

Answer: y = 1/7(x) or y = x/7

Step-by-step explanation:

Hey there! Thank you for submitting your question to Brainly!

In order to vertically compress the equation y = x by 1/7, we would simply need to multiply x by 1/7. Therefore, this gives us the equation y=1/7(x) or y=x/7.

Hope this helps!! :)

A vertical compression by a factor of 1/7 to the equation y=x results in the new equation y=1/7x where each y-value of the original function is 1/7 of its original height.

A vertical compression by a factor of 1/7 to the equation y=x results in the new equation y=1/7x. In vertical compression, each y-value of the original function is multiplied by the factor of compression, in this case, 1/7. Thus y=x becomes y=1/7x. This means for any x value in the original function, the corresponding y value in the new function is 1/7 of its original height. For example, where x was 1, y was also 1 for the original equation. In the new equation, when x is 1, y is now 1/7.

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False

Here is a counterexample:

Let x = 3. Then

  [tex]\sqrt{3x} = \sqrt{3\cdot 3} = \sqrt{9} = 3[/tex]

but [tex]x\sqrt{3} = 3 \cdot \sqrt{3} \ne 3[/tex]

So these expressions are not equivalent

The statement is false the expression √3x is equivalent to the expression x√3.

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

let us check by an example put the value of x = 3

[tex]\sqrt{3x} \ \ \ =\ \ \ x \sqrt3[/tex]

[tex]\sqrt{3\times 3}\ \ \ \ = \ \ \ \ 3 \sqrt3[/tex]

[tex]\sqrt9 \ \ \ \ \neq \ \ \ \ \ 3\sqrt3[/tex]

Here we can see that the two values are not equal.

Therefore the statement is false the expression √3x is equivalent to the expression x√3.

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Answer:

d

Step-by-step explanation:

Area = length * width

width = w

length = 2w+7

A = (2w+7) * w

250 =2w^2+7w

0 = 2w^2 +7w-250

w is the width, hence length is 2w + 7 ( 7 more than twice the width )

area = length × width = w( 2w + 7 ) = 250

2w² + 7w - 250  = 0 ← in standard form

Answer and Step-by-step explanation:

Without dividing, I can decide whether the quotient (the number obtained after dividing one number—the numerator—by another—the denominator) of 7.16 ÷ 4 is either less than or greater than 2, by multiplying the denominator (which is 4) by 2, getting the product/result, and comparing the numerator (which is 7.16) with it:

I know that the product of 4 and 2 is 8; however, when comparing 7.16 with 8, I know that it is less than 8; thus I can quickly decide that the quotient of 7.16 ÷ 4 will be less than 2.

C.

multiply 19.2x9.5=182.4

Hi!

Solution:

19.2 x 9.5 = 182.4

Answer:

C. No, Cesar's answer should be closer to 180.

A. 3 minutes per page

B.  2 pounds per dollar

To solve the equation, multiply both sides by 2 and simplify. The value of Qburgers is 5.

The question involves solving an equation for the variable Qburgers.

The value of Qburgers is 5.

the other number is 50 - p

Consider a numeric example

2 numbers sum to 5 , one of the numbers is 3 what is the other ?

Obviously 2 , that is 5 - 3 = 2 gives the number

In the same way the number here is p and 50 - p is the other number

Answer:

UMMMMMMMMMM

Step-by-step explanation:

More information PLEASE :)

Answer:

20a. 143 deg

20b. 37 deg

20c. corresponding angles, congruent

20 d. same-side interior angles, supplementary

Step-by-step explanation:

20a.

m<7 = 34

m<5 + m<7 = 180       (linear pair)

m<5 = 180 - 37 = 143

m<4 = m<5 = 143      (alt int angles)

20b.

m<2 = m<7 = 37     (alt ext angles)

20c. corresponding angles, congruent

20d. same-side interior angles, supplementary

(a)

∠7 = 37° = ∠6 ( vertical angles )

∠4 = 180° - 37° = 143° ( 4 and 6 are supplementary interior angles )

(b)

∠2 = 37° (2 and 4 form a straight angle )

(c)

∠4 and ∠8 are corresponding congruent angles

(d)

∠3 and ∠5 are supplementary interior angles

Answer:

d. 11.4

Step-by-step explanation:

point r is half the line qs. qr is 5.7 so to get the whole line multiply it by two to get 11.4

Similar triangles have proportional corresponding sides and congruent corresponding angles.

For similar triangles we write

ΔGHI ~ ΔJKL

In these similarity expressions, the order of the vertices is meaningful.  Here it tells us that G and J are corresponding vertices, as are H and K, as well as I and L.   So ∠G≅∠J, ∠H≅∠K and ∠I≅∠L.

Answer: c

The answer is c (i did this question before)

hope this helps!

Answer:

D) 306

Hope this helps :-)

Answer: 15.5 is a rational number.

Step-by-step explanation:  We are given to check whether the number 15.5 is a rational or irrational.

We know that

a real number is said to be

(i) rational, if the digits after the decimal are either repeating or terminating.

(ii) irrational, if the digits after the decimal are non-repeating and non-repeating.

The given number is 15.5.

Here, the digits after the decimal are terminating.

So, the given number is a rational number.

Thus, 15.5 is a rational number.

[tex](x+y)^2 =x^2+2xy+y^2\not=x^2+y^2[/tex]

2112 because i did 528x4=2112

The company's total profit for four months considering it maintains a consistent monthly profit (loss) of -$528 would equate to -$2112.

If a company had a profit of -$528 in January and continues to have the same profit for four months, you simply multiply -$528 by four.

To calculate:

So, the total profit (or in this case, loss) of the company after 4 months will be -$2112.

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the graph on the top right

the broken line is the graph of y = - 2x - 2

the slope m = - 2 indicating the graph slopes down from left to right and crosses the y - axis at (0, - 2)

the shaded region above and to the right of the broken line indicates that y is greater than - 2x - 2

top right represents y > - 2x - 2

The first graph represents the function y=|x| and the second graph represents the function y=|x|-9.

As you can see they have the same shape.

1st graph -

[tex]0=|x|,\\x=0.[/tex]

2nd graph -

[tex]0=|x|-9,\\ |x|=9,\\x=\pm 9.[/tex]

1st graph -

[tex]y=|0|,\\y=0.[/tex]

2nd graph -

[tex]y=|0|-9,\\y=-9.[/tex]

From the previous statements you can conclude that the graphs have the same shape and the y-intercept of y=|x| is 0, the y-intercept of the second graph is -9.

Answer: correct choice is C.

diameter = 5

the diameter is twice the radius

diameter = 2.5 × 2 = 5

We have to add the polynomials [tex](4x^2-4x-3)[/tex] and [tex](3x^2-3x-5)[/tex]

To add the polynomials we need to add the like terms, by like terms we understand that the terms with the same exponent of the variables.

So in this case,

[tex](4x^2-4x-3)+(3x^2-3x-5)[/tex]

We will add the coefficients of [tex]x^2, x[/tex], and constants separately, we get:

[tex](4+3)x^2+(-4-3)x+(-3-5)=7x^2+(-7)x+(-8)=7x^2-7x-8[/tex]

Similarly, for the polynomials [tex](4x^2-4x-3)-(3x^2-3x-5)[/tex]

We will subtract the coefficients of like terms, we get:

[tex](4-3)x^2-(4-3)x-(3-5)=x^2-x+2[/tex]

the answer is 53 bags