Which of the following is a true polynomial identity?
a) a^6+b^6 = (a^2 + b^2)(a^4 + a^2b^2 + b^4)
b) a^6 - b^6 = (a^2+b^2)(a²-ab+b²)(a²+ab + b²)
c) a^6 - b^6 = (a³-b³)(a-ab+b)(a²+ab+b²)
d) a^6 - b^6 = (a²-b²)(a²-ab+b^2)(a^2+ab+b^2)​

Answer:

125

Step-by-step explanation:

Assuming 1875-15 means 1875/15

Answer:

180 degrees

Step-by-step explanation:

angle 1 = 90 degrees

angle 4 = angle 1 because they are vertical angles

360 - 90 - 90 = 180 degrees

Answer:

0.1667 = 16.67% probability that she/he has diabetes

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Living below the poverty level.

Event B: Having diabetes.

30% of the elderly people are living below poverty level.

This means that [tex]P(A) = 0.3[/tex]

5% of the elderly population falls into both of these categories.

This means that [tex]P(A \cap B) = 0.05[/tex]

If a randomly selected elderly person is living below the poverty level, what is the probability that she/he has diabetes

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05}{0.3} = 0.1667[/tex]

0.1667 = 16.67% probability that she/he has diabetes

Answer:

96 cm

Step-by-step explanation:

16 cm times 6 cm = 96 cm

Answer:

48 cm

Step-by-step explanation:

We know that for every 2 squares there are 6 cm, so divide 16 by 2 and get 8, then multiply 8 by 6, that gets you to 48

Answer:

[tex]3x^5+6x^4+12x^3[/tex]

Step-by-step explanation:

Given that,

[tex]f(x) = 3x^3+ 6x^2+ 12x[/tex]

and

[tex]g(x)=x^2[/tex]

We need to find the product of f(x) and g(x). SO,

[tex]f(x)\times g(x)=(3x^3+ 6x^2+ 12x)\times (x^2)\\\\=3x^3\times x^2+6x^2\times x^2+12x\times x^2\\\\=3x^5+6x^4+12x^3[/tex]

Hence, the correct option is (d).

Answer:

radius is 6, diameter is 12, circumference is 38

Step-by-step explanation:

The area of a circle hs the following formula:

A = π*r², where r is the circle radius (distance from center to edge of circle)

So, we have A = 113 = π*r²

Divide both sides by π:      113/π = r²

Approximately:                 35.97 = r²

Square-root both sides:   5.997 = r

                                           So, the radius is about 6 feet

The circumference of a circle has the following formula:

C = π * D, where D is the diameter of the circle (distance from one side of circle to opposite side, through the center)

But the length of a diameter is just that of two radiuses. (This is obvious when the 2 radii are collinear.)

Since r = 6 feet, D = 12 feet, and the circumference C = 12 * π = 37.699, about 38 feet.

*** So the radius is about 6 feet, the diameter is about 12 feet, and the circumference is about 38 feet,

It lloks like b and d are identical. Typo. maybe?

Answer:

5.5 feet

Step-by-step explanation:

Answer:

5.5 feet

Step-by-step explanation:

We have VT adjacent to angle T.

We know that VU, side length that is opposite to T, is 7.

We use the TAN function, which is opposite/adjacent, on T :)

tan(52) = 7/x

x tan(52) = 7

x = 7/tan(52) =~ that's around 5.469 --> 5.5 feet

YAS

Answer:

m and p

p and q

Step-by-step explanation:

both m and q are 71° so what plus 71 = 90; 19. therefore, m and p are complementary as well p and q.

Answer:

cos 225° = [tex]-\frac{\sqrt{2} }{2}[/tex]

sin 225° = [tex]-\frac{\sqrt{2} }{2}[/tex]

tan 225° = 1

Step-by-step explanation:

I cannot sketch a diagram, but a 225° angle is a 3rd quadrant angle and the reference angle is 45°   (225 - 180 = 45)

cos and sin are negative in the 3rd quadrant and the tan is positive

cos 225° = - cos 45° = [tex]-\frac{\sqrt{2} }{2}[/tex]

sin 225° = -sin 45° = [tex]-\frac{\sqrt{2} }{2}[/tex]

tan 225° = tan 45° = 1

Answer:

40%

Step-by-step explanation:

it ads up to 90, so 50+x=90   x=40

Answer:

40° as it is a right angle

then 90 - 50= 40

Answer:

5 points

Step-by-step explanation:

First, find how many points per game she scored over the first 12 games:

24/12

= 2 points per game

Now, find how many she scored in the last 16 games:

112/16

= 7 points per game

Find the difference:

7 - 2

= 5

So, she scored 5 more points per game in the last 16 games

Answer:

first 12 games- 24/12= 2ppg

Last 16 games- 112/16= 7ppg

7-2= 5 points per game more

Answer:

x - 4 > 2x

(see below to solve for x if needed)

Step-by-step explanation:

"Greater than" is key word for the greater than symbol: >.

"A number" can be represented by x.

So "a number minus four" would be x - 4 and "two times a number" would be 2x.

So "A number minus 4 is greater than 2 times a number" is:

x - 4 > 2x

If you were to solve for x, it would be:

x - 4 > 2x

-x         -x

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

-4     > x

x < -4

Answer:

40%

Step-by-step explanation:

The first step is to add 18 girls + 12 boys, which gives you the total number of people on the swim team, 30.

Next, you divide the 12 boys by the total swim team members, so:

[tex]\frac{12}{30}[/tex] = 0.4

Then, you multiply 0.4 by 100 to get the percentage:

0.4 × 100 = 40

Therefore, the swim team is made up of 40% boys, and 60% girls.

Answer:

40%

Step-by-step explanation:

30 total kids

12/30 as a decimal is 0.4

to make a decimal into a percent you move the decimal point 2 times to the right

that would be 40

then add the percent to make 40%

Answer: d

≤

3

Step-by-step explanation: that’s the answer buddy

Answer: X is less than or equal to 3.

I am 100% sure it's right.

Step-by-step explanation:

Answer:

I hope this will help u

Step-by-step explanation:

Each interior angle of a regular polygon = 140 deg. So each exterior angle of the regular polygon = 180-140 = 40 deg. Hence the regular polygon has 360/40 = 9 sides.

Please mark me as Brilliant

Answer:

Step-by-step explanation:

first step: 0.5 * x

second step: 3* (0.5x) = 1.5x

third step: (1.5x)^2

fourth step: (1.5x)^2 + 1 = 50

(1.5x)^2 + 1 = 50                    Subtract 1 from both sides

(1.5x)^2 = 49                          Take the square root of both sides

1.5x = sqrt(49)

1.5x = +/- 7

1.5x = +7

x = 7/1.5

x = 4.67

1.5x = - 7

x = - 7 / 1.5

x = - 4.67

Answer:

$22.5%.....i think....not sure

Step-by-step explanation:

i've added $18 plus tax%.....not sure if its the answer

Answer: $5.63

Step-by-step explanation:

4.5% Divided By 100 To Get 0.045 Then I Multiplied That By $125 And Got 5.625 .. I Rounded It To $5.63

Answer:

c

Step-by-step explanation:

and the answer is c

Answer: I will go with A  or you can choose d if you want

Step-by-step explanation:

Answer:

basicly the -6 is the x and the 5 is the y

but the h is 7.8

Step-by-step explanation:

Answer:

C. Preform calculations on my own and compare them to Roberto’s.

Step-by-step explanation:

His calculations do not match the line plot. He doesn’t account for every mark on the plot.

she has to have 13 points because of who would she loose to and also that statment

Answer:

300/60=5 Hours

Hope it helps

Answer:

5hours

Step-by-step explanation:

................

300÷60

Answer:

B) 120 degrees

Step-by-step explanation:

The two triangles are the same, so first find the measure of angle B.

To do this first solve for angles A and C. Solve for A first: 4x or 4(5), which is 20 degrees. Now solve for C: 8x or 8(5), which is 40 degrees. Add 40 + 20 degrees to get 60 degrees total of those two angles.

A triangle has 180 total degrees, so to solve for the measure of Angle B, subtract 180 - 60 to get 120 degrees.

Since the two triangles are the same, Angle D is the measure as Angle B.

Hope it helps!