Hamad wants to buy a video game with a selling price of $55, on sale for 40% off. The sales tax in his state is 3.5%. How much will Hamad have to pay in all?

Answer:

[tex](a-b)^3 = a^3 - b^3 - 3a^2b + 3ab^2\\\\a = 3x, \ b = 1\\\\(3x-1)^3 = (3x)^3 - (1)^3 - 3(3x)^2(1) + 3(3x)(1)^2\\\\[/tex]

             [tex]= 27x^3 - 1-3(9x^2)+ 9x\\\\=27x^3 -27x^2 +9x -1[/tex]

The expanded form of the function f(x) = (3x - 1)³ is 27x³ - 9x² + 9x - 1.

We have,

To expand the function f(x) = (3x - 1)³, we can use the binomial expansion formula, which states:

(a + b)³ = a³ + 3a²b + 3ab² + b³

In this case,

a = 3x and b = -1.

Substituting these values into the formula, we get:

[tex](3x - 1)^3 = (3x)^3 + 3(3x)^2(-1) + 3(3x)(-1)^2 + (-1)^3[/tex]

Simplifying further:

(3x - 1)³ = 27x³ - 9x³ + 9x - 1

Therefore,

The expanded form of the function f(x) = (3x - 1)³ is 27x³ - 9x² + 9x - 1.

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Answer:

Step-by-step explanation:

a. Find the unit rate, or how many miles they traveled in one hour, by dividing:

[tex]\frac{392}{7}=56 mph[/tex]

b. Now that we know how fast they were going, we can use it in either a proportion or in the d = rt equation. For the proportion set up, put miles on the top and hours on the bottom and solve for the unknown:

[tex]\frac{mi.}{hr}:\frac{56}{1}=\frac{728}{x}[/tex] and cross multiply to solve for x:

56x = 728 so

13 hours.

Now use the d = rt equation:

728 = 56t so

t = 13 hours

Answer:

I dont know

Step-by-step explanation:

oop

Answer:

I think it would not be fill since i think that would be referring to volume so it would most likley be B.cover

Answer- Cover

Step-by-step explanation:

none really

Answer: 200

Step-by-step explanation:

first, you set up your proportion. (23% at the top right, 100 at the bottom right, 46 at the top left, and x and the bottom left.) next, you multiply x * 23% = 23x then 46*100 = 4600. 4600 divided by 23 = 200. therefore, x = 200. please let me know if you have further questions!

Good luck !

Answer:

circumference=13π cm (see below if you need π approximated)

Step-by-step explanation:

Hi there!

The formula for the circumference of a circle is given as 2πr, where r is the radius and π is pi

we are given that the radius of the circle is 6.5 cm

substitute what we know into the equation:

circumference=2πr

circumference=2π*6.5

circumference=13π cm

some places will accept the answer as 13π, but others ask to have π substituted, usually as 3.14 or 22/7

if you need π substituted as 3.14, the answer will be 40.82 cm

if you need π substituted as 22/7, the answer will be about 40.86 cm

Hope this helps! :)

Answer: I believe you mean x and y intercepts? They are (0, -1) and (-1/7, 0)

Step-by-step explanation:

Plug in 0 for x and y (one at a time) for each intercept. eg The x intercept is at y=0 and the y intercept is at x=0.

Answer:

Parallelogram has greater area.

Step-by-step explanation:

Given:

Base of parallelogram = 9 km

Height of parallelogram = 5 km

Base of triangle = 6 km

Height of triangle = 3 km

Find:

Greater area

Computation:

Area of parallelogram = Base x Height

Area of parallelogram = 9 x 5

Area of parallelogram = 45 km²

Area of triangle = (1/2)(b)(h)

Area of triangle = (1/2)(6)(3)

Area of triangle = (1/2)(18)

Area of triangle = 9 km²

Parallelogram has greater area.

Answer

129,454,475,954

Step-by-step explanation:

it is the four in bold

Answer:

4 is in the hundred-thousands place.

Explanation:

129,454,475,954

(the one that I bolded and underlined out)

Answer:

9 + 10 + 11

Step-by-step explanation:

guess and check

Answer:

9,10,and 11

Step-by-step explanation:

The height of the altitude h is 18 cm.

Altitude is the vertical height of an object above some chosen level.

To calculate the length of the altitude h, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the right option  is D. 18 cm.

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Answer:

84π sq. units

Step-by-step explanation:

radius of little orange circles = 2

There is a total of 3 little orange circles (1 + 1 + 1/2 + 1/2).

Total area of 3 little orange circles = 3*π*2^2 = 12π

radius of 4 medium white circles = 3

Total of area of 4 medium white circles = 4*π*3^2 = 36π

radius of middle white circle = 6

Area of middle white circle = π*6^2 = 36π

Radius of the big circle = 12

Area of the big circle = π*12^2 = 144π

Area of orange = area of big circle - area of middle white circle - area of 4 medium white circles + area of 3 little orange circles = 144π - 36π - 36π + 12π = 84π

Answer:

false

Step-by-step explanation:

(8,8) or (4,4)

Answer:

Step-by-step explanation:

The important thing to remember here is that the number of plates is a different equation from the one that uses the diameter of the plates. The number of plates will make up one equation; the diameter of the plates will make up the other equation. As far as the number of plates go, we have 15 total. Let's call the 9" plates x and the 12" plates y according to the instruction given. If we have a mixture of 9 and 12 inch plates and we have a total of 15 plates, the first equation regarding the number of plates is

x + y = 15

Now on to the diameters. The 9" plates are x's and the 12" plates are y's and the inches refer to the diameter, of which the total is 150". Therefore, the second equation regarding the diameter of the plates is

9x + 12y = 150

Those 2 equations make up the system. It doesn't say you have to solve it, but if you did, you would find that there are 10 9" plates and 5 12" plates in the cabinet.

Answer:

20/100*x=$30

20x/100=$30

x/5=$30

x=$30*5

x=$150

Step-by-step explanation:

20 percent of 150 equals 30 so 150 times 20 percent would give you 30

Answer:

M1=35, M2=77, M3=49, M4=77, M5=62, M6=28

Step-by-step explanatio

Answer:

Angle 1) 35

Angle 2) 77

Angle 3) 49

Angle 4) 77

Angle 5) 62

Angle 6) 28

Step-by-step explanation:

Start with angle 3)

You have 2 angles for this one already, 90 and 41

All angles in a triangle have the sum of 180, therefore

Angle 3 = 180 - 90 - 41

Angle 3 = 49

Next is Angle 6)

You have Angle 3 and 103

Angle 6 = 180 - 49 - 103

Angle 6 = 28

Now Angle 2)

Angle 2 is on the same line as 103 and are supplementary, the sum is 180

Angle 2 = 180 - 103

Angle 2 =  77

Angle 4)

2 and 4 are vertical opposites with the same measurement, so 77

Angle 1)

Using Angles 1 and 2 and 68, they have a sum of 180

Angle 1 = 180 - 77 - 68

Angle 1 = 35

Angle 5)

Now with Angle 4 and 41 thats given, Angle 5 is

180 - 77 - 41 = 62

Answer:

9%

Step-by-step explanation:

If you get 12 for 4 months, then you get 36 for the year/12 months

Annual interest is $12 x 3 Months =36

36/400=9%.

Answer:

13617.2 m^2

Step-by-step explanation:

5281.5

Answer:

-8+4=-4

sign of bigger number, and -×+=-

If two angles are supplementary, then they add up to 180.

Angle 1 = twenty less than four times the other angle

Angle 2 = the other angle

Angle 2 = 1x

Angle 1 = 4x - 20

Next, we can add up angles 1 and 2 and set the sum equal to 180.

x + 4x - 20 = 180

5x - 20 = 180

5x = 200

x = 40

Now that we know x, we can find the values of our angles.

Angle 1 = 4(40) - 20 = 160 - 20 = 140 degrees

Angle 2 = 40 degrees

Hope this helps!! :)

Answer:

Because 39 is significantly closer to 36 than it is 49, the approximation of the square root of 39 to the nearest whole number would be 6

Step-by-step explanation:

Answer:

317.6 feet

Step-by-step explanation:

the length of the diagonal can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

280²  + 150²

= 78,400 + 22,500

= 100,900

take the square root of  100,900

= 317.648 feet

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

317.6 to the nearest tenth

Answer:

Hello! answer: 84 sq mm

Step-by-step explanation:

To find triangle area we would do

base × height × 1/2 or

base × height ÷ 2 So...

14 × 12 = 168 168 ÷ 2 = 84 therefore the area is 84 sq mm HOPE THAT HELPS!

Answer:

C.

explanation:

I just know.

Answer:

c

Step-by-step explanation:

y=-8x

Answer:

$420

Step-by-step explanation:

Divide to isolate the cost

240 / 4 = 60 - amount per person (for 4 people)

60 / 5 = 12 - amount per person per day (5 days)

Multiply using that cost and new values.

12 x 5 = 60

60 x 7 = 420

Answer:

0.1

Step-by-step explanation:

According to my calculator lol

Answer:

1/10

Step-by-step explanation:

1/5 / 2/1

1*1/5*2

=1/10

Answer:

Oki, mizuki here to help!

Hi there user, looks like you need help!

Anyways, option B is the correct answer!

Step-by-step explanation:

How to find average speed: distance/time

Since the graph shows 480 meters in 6 seconds, option B should be the correct answer!

Hope this helped!

Step-by-step explanation:

we know that

Speed = Distance/ Time

so the correct answer is B

Answer:

B. -500

Step-by-step explanation:

[tex] \dfrac{(2a^4)^2}{a^0a^5} = [/tex]

[tex] = \dfrac{2^2a^8}{a^5} [/tex]

[tex] = 4a^3 [/tex]

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

[tex] = 4(-125) [/tex]

[tex] = -500 [/tex]

Answer:

g(x) shifted vertically by 2, no horizontal shift

Step-by-step explanation:

Any addition outside the function creates a vertical shift of the same value. Addition within the function moves the graph in the horizontal direction but opposite.

Answer:

[tex]m\text{ arc BC} =32\\m\angle 2=16\\m\angle3=74\\m\angle4=74\\m\angle5=16[/tex]

Step-by-step explanation:

Arc BC is the intercepted arc for the central angle COB, so its measure is the same as the central angle.

Angle 2 is an inscribed angle, so its measure is half the measure of the intercepted arc BC.

Angles 3 and 4 are congruent inside an isosceles triangle (OB = OC, both radii), and the sum of all angles in triangle COB is 180 degrees, so

180 - 32 = 148 (sum of angles 3 and 4)

Each of angles 3 and 4 measure half that remaining 148 degrees.

Angle 5 is one of two congruent angles in an isosceles triangle AOC (OA = OC) so its measure is that of angle 2.