What are the coordinates of A'and B'when AB is reflected in the y-axis? Show your work or explain
how you got your answer.

Answer:

25% of 824

25/100 × 824

206

New prices of the TV is

824+206= 1030

Answer

x > 2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that dont contain the variable

Answer:

3

Step-by-step explanation:

Volume of a cone

V = pi x r^2 x h/3

So plug in the values we have

30pi = pi x r^2 x 10/3

30 = r^2 10/3

9 = r^2

3 = r

The surface area and the volume of the cone is 816.4 km² and 7536 km³ respectively.

Volume is the capacity of an object.

To calculate the surface area and volume of the cone shown above, we use equation 1 and equation 2 respectively.

Formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1 and equation 2 respectively.

Also for the volume of tyhe cone

Hence, The surface area and the volume of the cone is 816.4 km² and 7536 km³ respectively.

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Answer:

12

Step-by-step explanation:

Using Permutation Formula :

The increasing order of the complex numbers is (√2 - i)⁶ < (√2 - √2i)⁸ = (√3 - i)⁶ =  (-1 + √3i)¹² < (√3 - √3i)⁴.

The absolute values of the complex numbers are determined as follows;

(sqrt3-sqrt3i)^4 = (√3 - √3i)⁴

[tex]|z| = \sqrt{(\sqrt{3} )^2 + (\sqrt{3 }\times1 )^2} } \\\\|z| = \sqrt{6}[/tex]

(-1+sqrt3i)^12 = (-1 + √3i)¹²

[tex]|z| = \sqrt{(-1)^2 + (\sqrt{3)^2} } \\\\|z| = \sqrt{4} \\\\|z| = 2[/tex]

(sqrt 3-i)^6 = (√3 - i)⁶

[tex]|z| = \sqrt{(\sqrt{3})^2 + (-1)^2 } \\\\|z| = \sqrt{4} \\\\|z| = 2[/tex]

(sqrt2-sqrt2i)^8 = (√2 - √2i)⁸

[tex]|z| = \sqrt{(\sqrt{2} )^2 + (\sqrt{2})^2 } \\\\|z| = 2[/tex]

(sqrt2-i)^6 = (√2 - i)⁶

[tex]|z| = \sqrt{(\sqrt{2})^2 + (-1)^2} } \\\\|z| = \sqrt{3}[/tex]

Increasing order of the complex numbers;

(√2 - i)⁶ < (√2 - √2i)⁸ = (√3 - i)⁶ =  (-1 + √3i)¹² < (√3 - √3i)⁴.

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Answer:

see screenshot below

Step-by-step explanation:

correct on edmentum

Answer:

8%

Step-by-step explanation:

Add 2 and 23 together to get 25.

Divide 2 by 25 to get 0.08.

Covert 0.08 into percentage: 8%

[tex]{\large{\textsf{\textbf{\underline{\underline{Solution :}}}}}}[/tex]

Let [tex]\alpha[/tex] and [tex]\beta[/tex] be the two zeroes of P(x) = [tex]\sf {a}^{2} + bx + c[/tex]

• A polynomial is always equal to it's factors, also the constant "k" is not equal to zero

[tex] \tt \sf {a}^{2} + bx + c = k(x - \alpha )(x - \beta )[/tex]

• Using distributive property

[tex]\tt \sf {a}^{2} + bx + c = k \bigg( {x}^{2} - \beta x - \alpha x + \alpha \beta \bigg)[/tex]

[tex]\tt \sf {a}^{2} + bx + c = k {x}^{2} -k (\beta x )- k(\alpha x )+k( \alpha \beta )[/tex]

• Taking common

[tex]\tt \sf {a}^{2} + bx + c = k {x}^{2} -kx (\beta + \alpha)+k( \alpha \beta ) - - (1)[/tex]

• Equating coefficients of like terms

[tex] \sf \: a = k - - (2)[/tex]

[tex] \sf b = - k( \alpha + \beta ) - - (3)[/tex]

[tex] \sf c = k \alpha \beta - - (4)[/tex]

★ From 3

[tex] \sf b = - k( \alpha + \beta ) - - (3)[/tex]

★ From 2 we have a = k so we have -

[tex] \sf b = - a( \alpha + \beta ) [/tex]

[tex]\sf - \dfrac{b}{a} = ( \alpha + \beta ) [/tex]

[tex]\sf \therefore \boxed {{ \red{( \alpha + \beta ) = - \dfrac{b}{a} } }}[/tex]

• Sum of zeros = [tex]- \dfrac{b}{a}[/tex]

★ From 4

[tex] \sf c = k \alpha \beta - - (4)[/tex]

★ From 2 we have a = k so we have -

[tex] \sf c = a \: \alpha \: \beta[/tex]

[tex]\sf \dfrac{c}{a} = \alpha \beta[/tex]

[tex]\sf \therefore \boxed {{ \red{( \alpha \beta ) = \dfrac{c}{a} } }}[/tex]

• Product of zeros = [tex] \dfrac{c}{a}[/tex]

Also,

★ From 1

[tex]\tt \sf {a}^{2} + bx + c = k {x}^{2} -kx (\beta + \alpha)+k( \alpha \beta ) - - (1)[/tex]

[tex]\tt \sf {a}^{2} + bx + c = k \bigg( {x}^{2} -x ( \alpha + \beta ) + ( \alpha \beta \bigg) [/tex]

• Now just put S instead of sum of zeroes and P instead of product of zeroes

[tex] \tt \sf {a}^{2} + bx + c = k \bigg( {x}^{2} -x ( S ) + ( P \bigg) [/tex]

[tex]\tt \sf{a}^{2} + bx + c = \boxed{ \red{ \sf \tt k \bigg( {x}^{2} - Sx + ( P \bigg ) }}[/tex]

[tex]\rule{280pt}{2pt}[/tex]

60 cds - 12 country = 48 cds are not country.

probability of picking one that is not country = total of non country/ total cds

probability = 48/60 which reduces to 4/5

answer: 4/5

Applying the volume of a rectangular prism, the following are determined:

A & G has a solution of 120.

B & F: 714

C & E: 56

D & H: 9.5

Volume = base area × height of prism = 1/2(bh) × H

A. Volume = 1/2(bh) × H = 1/2(6)(8) × 5 = 120 units³

B. Volume = 1/2(bh) × H = 1/2(6)(14) × 17 = 714 units³

C. Volume = 1/2(bh) × H = 1/2(12)(8) × x = 2,688 units³

48x = 2,688

x = 2,688/48

x = 56 units (height of the prism)

D. Volume = base area × height of prism

Plug in the given values

27.36 = base area × 2.88

27.36/2.88 = area of triangular base

area of triangular base = 9.5 units².

E. Volume = 1/2(bh) × H = 1/2(8)(15) × x = 3,360 units³

60x = 3,360

x = 3,360/60

x = 56 units (height of the prism)

F. Volume = 1/2(bh) × H = 1/2(17)(4) × 21 = 714 units³

G. Volume = 1/2(bh) × H = 1/2(3)(5) × 16 = 120 units³

H. Volume = 1/2(bh) × H = 1/2(1.9)(2) × 5 = 9.5 units³

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Answer:

shade 3 slices

Step-by-step explanation:

9*1/3=3

Answer:

n= 5/3 or 1.67

Step-by-step explanation:

9n^2 -9 =16

9n^2 = 16 + 9

9n^2 = 25

n^2 =25/9

n^2 =25/9

[tex]\sqrt{n^2} = \sqrt{\frac{25}{9} }[/tex]

n= 5/3 or 1.67

[tex]~~~~~~9n^2 -9 = 16\\\\\implies 9(n^2 -1) = 16\\\\\implies n^2 -1 = \dfrac{16}9\\\\\implies n^2 = \dfrac{16}{9}+1\\\\\implies n^2 = \dfrac{25}{9}\\\\\implies n=\pm\sqrt{\dfrac{25}{9}}\\\\\implies n= \pm\dfrac 53\\\\\implies n = \pm1.67[/tex]

Answer: A. -$157

Step-by-step explanation:

This is would be much more in debt for his credit card statement, it would take him longer to pay off.

The equation to calculate the coordinates of point B is (b) 3 = √(x - 4)²+(y - 2)²

The given parameters are:

A = (4,2)
AB = 3

The distance formula is:

AB = √(x - x1)²+(y - y1)²

So, we have:

3 = √(x - 4)²+(y - 2)²

Hence, the equation to calculate the coordinates of point B is (b) 3 = √(x - 4)²+(y - 2)²

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Answer:

C

Step-by-step explanation:

If the graph of a relationship is a line or a ray through the origin, then it is proportional.

The line in graph C goes through the origin (0,0)

Answer:

Question 6: The cost of a chocolate bar is $1.20 and the cost of a box of gum is $0.75

Question 7:  There were 7 students

Step-by-step explanation:

We will be using system of equations which a set of one or more equations involving a number of variables. The solutions to systems of equations are the variable mappings such that all component equations intersect.

Our Variables:

- chocolate bar which will be represent as b in the equation

- box of gum which will be represent as g in the equation

Forming the equations:

Sally -

bought 2 chocolate bars (b)

bought 1 box of gum (g)

to a total of $3.15

so 2b + 1g = $3.15

Evans -

bought 1 chocolate bars (b)

bought 2 box of gum (1)

to a total of $2.70

so 1b + 2g = $2.70

Solving using substation:

2b + 1g = $3.15              we want to isolate b to input into the other equation

1b + 2g = $2.70                  

2b + 1g = $3.15             subtract 1g from both sides, divided both sides by 2

2b / 2 + 1g - 1g = $3.15 - 1g / 2

b = $3.15 - 1g / 2

Now substation b into the second equation

1b + 2g = $2.70 becomes 1($3.15 - 1g / 2) + 2g = $2.70

simplify,

$3.15 + 3g / 2 = $2.70                isolate g

$3.15 + 3g / 2 x 2 = $2.70 x 2   multiply both sides by 2

$3.15 + 3g = $5.40                     subtract $3.15, divided by 3 from both sides

$3.15 - $3.15 + 3g / 3 = $5.40 - $3.15 / 3

g = $5.40 - $3.15 / 3

g = $2.25 / 3

g = $0.75

Now plug in g to get b into any equation:

If Sally equation is used

2b + 1g = $3.15

2b + 1(0.75) = $3.15    →    2b + 0.75 = $3.15

2b + 0.75 - 0.75 = $3.15 - 0.75

2b = $2.40    →    2b / 2 = $2.40 / 2

b = $1.20

If Evans equation is used

1b + 2g = $2.70

1b + 2(0.75) = $2.70     →    1b + 1.50 = $2.70

1b + 1.50 - 1.50 = $2.70 - 1.50

1b / 1 = $1.20 / 1

b = $1.20

Our Variables:

- adult which will be represent as A in the equation

- student which will be represent as S in the equation  

Forming the equations:

- sample size: group of 30

- Adult cost $5        (A)

- Student cost $2    (S)

- Five members are free

to a total cost is $104

so A + S = 30 - 5

this is how many of each variable from the total group and we subtract 5 as 5 members were free

so 5A + 2S = $104

Solving using substation:

A + S = 25                     we want to isolate a to input into the other equation

5A + 2S = $104

a = 18

s =7

Answer:

Lucas has 16 chocolate bars

Step-by-step explanation:

Let x = number of chocolate bars Lucas has

⇒ x - 2 = number of chocolate bars Caidon has

If they have 30 chocolate bars altogether then:

⇒ x + x - 2 = 30

⇒ 2x - 2 = 30

⇒ 2x = 32

⇒ x = 16

Therefore, Lucas has 16 chocolate bars (and Caidon has 14 chocolate bars).

Answer:

40% increase

Step-by-step explanation:

7-5=2

plug in:

2/5=x/100

x=40

40% increse

The sandwhich increased by 2 dollars. The amount of change must be divided by the original. 7-5 is 2, which means we must divide 2 by 5. 2/5 is .40. Which translates to 40% or 40/100. This means that the price of the sandwhich increased 40%.

Hope this helped you <3!

Answer: approximately 4478.46096908264 square cm.

==========================================================

Explanation:

I'm assuming this is a regular 12-sided polygon

The area formula for regular polygons is

[tex]A = 0.25n*s^2*\cot(180/n)[/tex]

where in this case we have n = 12 sides and each side is of length s = 20

So,

[tex]A = 0.25n*s^2*\cot(180/n)\\\\A = 0.25*12*(20)^2*\cot(180/12)\\\\A = 0.25*12*(20)^2*\cot(15)\\\\A = 0.25*12*(20)^2*\frac{1}{\tan(15)}\\\\A \approx 4478.46096908264\\\\[/tex]

The area of this regular polygon is approximately 4478.46096908264 square cm.

Make sure your calculator is in degree mode when computing that value of cot(15) or 1/tan(15).

Answer:

Point B

Step-by-step explanation:

Let's take your number line from -5 to +5

The point on the number line is -2 1/4

Point A is between -4 and -3, Point B is between -3 and -2, Point C is between -2 and -1, and Point D is between -1 and 0. Because -2 is not between -4 and -3 or -1 and 0, it has to be either Point B or C. Since -2 has a fraction of 1/4, it is  between Point B. It would be Point C if it was -1 1/4 and not -2 1/4. Let me show you on the number line (It is not to scale, sorry haha)

<--------------------------0---------------------------->

-5    -4   -3   -2   -1      1    2    3     4      5

           |     |      |     |

          A    B    C   D

-3 > -2 1/4 > -2

Answer:

B

Step-by-step explanation:

I took the test

Answer: y=0.2

Step-by-step explanation:

y∝(1/x)

this implies that

y=k/x    eq(*)

when y =0.25 when x =4

0.25=k/4

k=1

for y when x=5

y=k/x

y=1/5

y=0.2

a. The interest for the first payment is $40.

b. The interest for the seventh payment is $29.27.

In financial accounting and management, interest refers to the finance charge for obtaining or giving a loan or credit.

The interest payment or revenue is based on the interest rate applied to the principal or loan balance.

Loan = $3,200

Monthly payment = $199.68

Interest rate = 15%

Loan balance after 6 payments = $2,341.45

Interest for the first payment = $40 ($3,200 x 15% x 1/12)

Interest for the seventh payment = $29.27 ($2,341.45 x 15% x 1/12)

Thus, while the interest for the first payment is $40, the interest for the seventh payment is $29.27.

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Explanation:

The circumference is the perimeter of the circle. It's the distance around the circle's edge. Think of it like a fence.

The full circle's perimeter is 6 units. The arc length is a piece of that and it's 1 unit.

1/6 of the full perimeter is the arc length

1/6 of a full 360 degree rotation is (1/6)*360 = 360/6 = 60

The central angle of the arc is 60 degrees.

------------

If you want to use a formula, it would be

[tex]A = \frac{L}{C}*360[/tex]

where,

A = central angle of the arc

L = arc length

C = circumference

You would plug in L = 1 and C = 6 to find that A = 60

Answer:

5.27 × 10⁷ is the scientific notation for 52,700,000.

Answer:

18:12 = A. 3:2

Step-by-step explanation:

Because they are equivalent ratios, they are the same, it also said ratio of strawberries to cherries so I put it in that order.

Can I please have branliest

okay thank you have a good day

Given

[tex] \text{Base = 4} \\ \text{Perpendicular= 8}[/tex]

To Find

Hypotenuse of the triangle.

Assuming,

[tex] \text{Perpendicular = ‘a’}[/tex]

[tex] \text{Base = ‘b’}[/tex]

[tex] \text{Hypotenuse= ‘c’}[/tex]

[tex] \text{(c)² = (a)² + (b)²} \\ \\ \implies \text{ (c)² = (8)² + (4)²} \\ \\ \implies \text{(c)}^{2} = 64 + 16 \\ \\ \implies \text{(c)}^{2} = 80 \\ \\ \implies \text{(c)} = \sqrt{80} \\ \\ \implies\text{(c)} = 8.94[/tex]

[tex]\text{Rounding it to the nearest tenth = 8.9}[/tex]

[tex]\therefore \text{Hypotenuse of the triangle = 8.9}[/tex]

Option D= 8.9 units is the correct answer

Answer:

y=2x+4

Step-by-step explanation:

Answer:

the trip is 10 miles long

Step-by-step explanation:

im sorry i dont know the steps