HELP
Which statements are always true regarding the
diagram? Select three options.
Omz5 + mz3 = mz4
Omz3 + mz4 + mz5 = 180°
Dmz5 + mz6 =180°
Dm2 + mz3 = mz6
Omz2 + mz3 + mz5 = 180°

Answer:

5x+10

Step-by-step explanation:

Distribute:

=(5)(x)+(5)(3)+−5

=5x+15+−5

Combine Like Terms:

=5x+15+−5

=(5x)+(15+−5)

=5x+10

Answer:

True

Step-by-step explanation:

sry if it wrong

Answer:

what's the question

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

9514 1404 393

Answer:

Step-by-step explanation:

There are an infinite number of equivalent expressions. A couple of them are ...

  (1/3)/(4/5) = (1/3)(5/4) . . . . . division is multiplication by the inverse

  (1/3)/(4/5) = (5/15)/(12/15) . . . . converted to common denominators*

_____

* this latter form is useful in that the ratio is then the ratio of the numerators, 5/12

Answer:

f(3) = 7

Step-by-step explanation:

To evaluate f(3), substitute x = 3 into f(x), that is

f(3) = 2(3) + 1 = 6 + 1 = 7

Answer:

1i and -19i

Step-by-step explanation:

3-2=1, therefor: 1i

-11-8=-19, therefor: -19i

Answer:

THE SMALLEST FORMS:

- smallest prism ---> the cube with all sides 2 ==> the volume is 2*2*2 = 8 cm^3

- smallest pyramid number one ---> the pyramid with base sides 2 and the height also 2 ==> the volume is (1/3)*2*2*2 = 8/3 cm^3

- smallest pyramid number two ---> the pyramid with base sides 2 and the lateral sides also 2 ==> the radius of the base is sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 2^2 - sqrt(2)^2 = 4 - 2 = 2 ==> pyramid_height = sqrt(2) ==> the volume is (1/3)*2*2*sqrt(2) = 4*sqrt(2)/3 cm^3

- smallest cylinder --> the cylinder of diameter 2 and height also 2 ==> the radius is diameter/2 = 2/2 = 1 ==> the volume is pi*(radius^2)*height = pi*(1^2)*2 = pi*1*2 = 2*pi cm^3

The lesser volume is the volume of the smallest pyramid number two. ==> it's wax cost is approximately 0.0075 * 4 * 1.42 / 3 $ per candle = 0.014 $ per candle ==> the total cost  per candle is approximately 0.014 + 1.6 = 1.614 $ per candle.

THE BIGGEST FORMS:

- biggest prism ---> the cube with all sides 10 ==> the volume is 10*10*10 = 1000 cm^3

- biggest pyramid number one ---> the pyramid with base sides 10 and the height also 10 ==> the volume is (1/3)*10*10*10 = 1000/3 cm^3

- biggest pyramid number two ---> the pyramid with base sides 10 and the lateral sides also 10 ==> the radius of the base is 5*sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 10^2 - [5*sqrt(2)]^2 = 100 - 50 = 50 ==> pyramid_height = 5*sqrt(2) ==> the volume is (1/3)*10*10*5*sqrt(2) = 500*sqrt(2)/3 cm^3

- biggest cylinder --> the cylinder of diameter 10 and height also 10 ==> the radius is diameter/2 = 10/2 = 5 ==> the volume is pi*(radius^2)*height = pi*(5^2)*10 = pi*25*10 = 250*pi cm^3

The bigger volume is the volume of the biggest prism (the side-10 cube). ==> it's wax cost is  0.0075 * 1000 $ per candle = 7.5 $ per candle ==> the total cost per candle is 7.5 + 1.6 = 9.1 $ per candle

The range of the cost is the interval [1.614 ; 9.1]. Depending on other prices on the market,  you greed, and other factors you will put a profit margin: maybe 20% of the cost ; maybe a fixed margin like 5$. So the price per candle will be the cost per candle plus the profit margin per candle.

If I were to choose the base length I would have to say 6 because it is the arithmetic mean between 2 and 10: (2+10)/2 = 12/2 = 6. 2cm is too small, and 10cm is too big.

Also if you start with a rectangle of length 10 and width 2 and you have to find the rectangle with the largest area by being allowed to increase the width and decrease the width with the same quantity you get this:

Area of the new rectangle is (10-x)(2+x) = -x^2 + 8x + 20 = -x^2 + 8x -16 + 36 = -(x^2 - 2*x*4 + 4^2) + 36 = -(x-4)^2 + 36 = 36 - (x-4)^2 which has the maximum value of 36 because out of 36 you subtract a positive value. You get the maximum when (x-4)^2 = 0 ==> x-4=0 ==> x=4

The new length is 10-4=6 and the new width is 2+4=6.

Next I would choose the height of the prism (I like prisms :P) to be [the_golden_ratio]*[base_side] which is approximately 1.618 * 6 = 9.708 which I would round up to 10. ==> The volume would be 6*6*10 = 360 cm^3. ==> the cost would be 0.0075*360 + 1.6 = 2.7 + 1.6 = 4.3 $ per candle. And because my candle is so perfect I'd put the profit margin to be 5.69 $ per candle so I can proudly show it in the store with the price of 4.3 + 5.69 = 9.99 $ :)

Answer:

3d+1=[]

Step-by-step explanation:

first collect the like terms ie 4d-d+9-8

giving you 3d+1

Answer:

The chances of Yvonne to get a blue berry candy in the two cases are 1 and 1/2 in case 1 and 2/3 in the case 2.

Step-by-step explanation:

Maurice has a paper bag  with three hard candies

2 blueberries and 1 green apple

Yvonne and Kate want 1 candy each

It is not mentioned that ether Kate has taken a candy already before Yvonne or not so we will consider both the cases

Case 1

If Kate has picked a candy before Yvonne

Case 2

If Kate has not taken any candy from the bag before Yvonne

Probability that Yvonne will get a blueberry candy will be = 2/3

Therefore the chances of Yvonne to get a blue berry candy in the two cases are 1 and 1/2 in case 1 and 2/3 in the case 2.

Answer:

M=0

Step-by-step explanation:

Youre welcome

Answer:

y=3

Step-by-step explanation:

Answer: m = 6

Step-by-step explanation:

first, move the terms.

4m + 3m = 49 - 7

then, collect like terms and calculate.

7m = 42

then divide both sides.

m = 6

Answer:

m=42

Step-by-step explanation:

simplifying both sides of the equation then isolating the variable.

Answer:

I am confused on what you are asking but I think the answer is y=12345x

Step-by-step explanation:

its correct

Answer:

D. 24

Step-by-step explanation:

Plug in -14 to the equation:

f(x) = 2x - 4(x + 1)

f(-14) = 2(-14) - 4(-14 + 1)

Simplify:

f(-14) = -28 - 4(-13)

f(-14) = -28 + 52

f(-14) = 24

So, D is the correct answer.

Answer:

18ft2

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

3^x+3=30

3^x=27

3^3=27

x=3

Answer:

Step-by-step explanation:

3 x 3 = 9 + 3 = 12

30 divided by 12

= 2.5

Step-by-step explanation:

Enter a problem...

Algebra Examples

Popular Problems

Algebra

Expand using the Binomial Theorem (3x+2)^4

(3x+2)4(3x+2)4

Use the binomial expansion theorem to find each term. The binomial theorem states (a+b)n=n∑k=0nCk⋅(an−kbk)(a+b)n=∑k=0n⁡nCk⋅(an-kbk).

4∑k=04!(4−k)!k!⋅(3x)4−k⋅(2)k∑k=04⁡4!(4-k)!k!⋅(3x)4-k⋅(2)k

Expand the summation.

4!(4−0)!0!⋅(3x)4−0⋅(2)0+4!(4−1)!1!⋅(3x)4−1⋅(2)+4!(4−2)!2!⋅(3x)4−2⋅(2)2+4!(4−3)!3!⋅(3x)4−3⋅(2)3+4!(4−4)!4!⋅(3x)4−4⋅(2)44!(4-0)!0!⋅(3x)4-0⋅(2)0+4!(4-1)!1!⋅(3x)4-1⋅(2)+4!(4-2)!2!⋅(3x)4-2⋅(2)2+4!(4-3)!3!⋅(3x)4-3⋅(2)3+4!(4-4)!4!⋅(3x)4-4⋅(2)4

Simplify the exponents for each term of the expansion.

1⋅(3x)4⋅(2)0+4

Hope this helps!

Answer:81x^4+216x^3+216x^2+96x+16

Step-by-step explanation:cause yussss

Answer:

[tex]10\frac{14}{48}[/tex]

Step-by-step explanation:

given data:

recipe = two and one sixth cups of walnuts [tex]2\frac{1}{6}[/tex]

and eight and one eighth cups of peanuts [tex]8\frac{1}{8}[/tex]

solution:

[tex]= 2\frac{1}{6} + 8\frac{1}{8}\\\\= 10 (\frac{1}{6} + \frac{1}{8} )\\[/tex]

[tex]= 10\frac{7}{24}\\or\\= 10\frac{14}{48}[/tex]

Answer:

Rational numbers

Step-by-step explanation I put D on a test and I got it right

Hey there!

• Reminder: “x” is a unknown number so will say it is an invisible 1!

x/9 = 6

• FIRST: MULTIPLY by 9 on BOTH SIDES

x/9 × 9 = 6 × 9

• CANCEL out: x/9 × 9 because that gives you 1

• KEEP: 6 × 9 because that gives the value of your “x”

• New equation:

x = 6 × 9

6 × 9 = 54

Because 54 ÷ 9 = 6

Answer:

x = 54 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

I'm pretty Shure b is ur answer

Answer:

Alternate interior angle

Step-by-step explanation:

Hope this helps.

Answer:

your answer is A ....

Answer:

m = [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

Slope Formula is...

m= rise / run      or    [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Two Coordinate Points / Ordered Pair: (16,2) and (32,4)

Your rise is...

4 - 2

Your run is...

32 - 16

Together the fraction reads...

(4 - 2) / (32 - 16)

Then do the subtracting to get....

2 / 16 ( 2 over 16)

Don't forget to simplify...

*2 can go into 2 and 16

Making the equation....

1 / 8 (one over 8)

So your m (slope) is ...  [tex]\frac{1}{8}[/tex]