simplify the expression

Answer:

red 8/32 = 1/4

purple 14 / 32 = 7/16

yellow 6/32 = 3/16

green 4 / 32 = 1/8

Step-by-step explanation:

if you add all the crayons together you get 32

you put each number over 32 and then divide it

Answer:

b) the coefficient of x of jamie's polynomial is 5 .

c) The two polynomials are :

x³ + 4x² + 5x + 4 

x³ - 2x² + 5x + 4

Step-by-step explanation:

consider these two Monic polynomials of degree 3:

P : x³ + ax² + bx² + c  

Q : x³ + a₁x² + bx² + c  

P × Q = x⁶+ (a+a₁)x⁵ + (aa₁+2b)x⁴ + (ab+a₁b+2c)x³ + (ac+a₁c+b²)x² +2bcx + c²

Now we compare the coefficients of P × Q and  x⁶ + 2x⁵ +2x⁴ + 18x³ + 33x² + 40x + 16

b)

c² = 16 ⇒ c = 4  (c is positive)

2bc = 40 ⇒ 8b = 40 ⇒ b = 5 then the coefficient of x of jamie's polynomial is 5 .

c)

In order to find a and a₁ we need to solve this system:

a+a₁ = 2                   a+a₁ = 2

                      ⇔

aa₁+2b = 2              aa₁ = -8

Solve the system and you’ll get :

a = 4 and a₁ = -2   or a = -2 and a₁ = 4

Let’s choose a = 4 and a₁ = -2 then

the two polynomials are respectively:

P : x³ + ax² + bx² + c  = x³ + 4x² + 5x + 4

Q : x³ + a₁x² + bx² + c  = x³ - 2x² + 5x + 4

The probability of drawing two red buttons is:

P = 0.0326

There are:

So there are a total of 32 + 48 + 44 + 51 = 175

We assume that all the buttons have the same probability to being randomly drawn.

For the first button, the probability of drawing a red one is equal to the quotient between the number of red buttons and the total number of buttons:

p = 32/175

For the second button the probability is computed in the same way, but now there are 31 red buttons and 174 buttons in total, so we have:

q = 31/174

Finally, the joint probability is given by the product between p and q, this gives:

p*q = (32/175)*(31/174) = 0.0326

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

Answer:

1. x=10; y=10 x root 2

Step-by-step explanation:

This is a 45-45-90 triangle, so the legs of the right triangle have an equal length. The formula states that y=x root 2, which is 10, so 10 root 2. The other triangles are all 30-60-90 triangles.

Answer:

??

Step-by-step explanation:

well according to G it's x=4±5i lol

Step-by-step explanation:

I couldn't figure it out on my own had to G it. sorry if this doesn't help

Step-by-step explanation:

3 54 4 162 5 486

sorry if I'm wrong

Answer:

and here's a us

Answer:

Point D

Step-by-step explanation:

Each jump os 0.01 and as you go left it decreases in value but increases as it appearances. As we can see D is 3 and a half lines away from -0.1

Hope this helps and brainliest please

Answer:

point D

Step-by-step explanation:

as it increases its sums with 0.1

but in between the lines it sums up with 0.05.

Answer:

D. No solution

Step-by-step explanation:

Since, both the lines are going parallel to each other. Hence, there will be no solution.

Answer:

Answer: l = 82.5

Step-by-step explanation:

11/2 x 15 = 82.5.

Answer:

13

Step-by-step explanation:

[tex] s = \sqrt{ {13}^{2} + {2}^{2} } = \sqrt{169 + 4} \sqrt{173} = 13.15[/tex]

[tex]t = \sqrt{ {13}^{2} + {2}^{2} + 2 {}^{2} } = \sqrt{177} = 13.30[/tex]

Answer:

1/8 Hour(s) longer

Step-by-step explanation:

5/8-1/2= 1/8

Answer:

8/11 or 73%

Step-by-step explanation:

# of office workers to whole

Find the percentage of 8/11

Hopefully this helps, good luck!

Answer:

Used ti should be the correct answer

Step-by-step explanation:

Answer:

39 deg

Step-by-step explanation:

The measure of an exterior angle is equal to half the difference of the measure of intercepted arcs.

(114-36)/2 = 39 deg

Answer:

d

Step-by-step explanation:

d is not a function as it doesn't have correct function potential in linear x and y axis

Answer:

Reflection over x-axis

Horizontal shift right 1

Vertical shift up 6

Step-by-step explanation:

see image to see how to find this infor in the equation.

Horizontal changes are in close to the x, but opposite of what you might think. Minus shifts RIGHT and plus shifts LEFT.

Answer:

Your answer:

Step-by-step explanation:

[tex]f(x)=x^2 , g(x)=-(x-1)^2+6[/tex]

[tex]y=-a(x-h)^2+k[/tex]

For g(x) our (h,k) = (1,6)

h - translate right/left, our h = 1 is right 1.

h - translate up/dqwn, our k = 6 is up 6.

If a = positive - no reflect x-axis. If a = negative - reflect x-axis.

Answer:

6

Step-by-step explanation:

35 is the first fee, so you exclude that and so the answer would be 6

So, in response to the above question, we can state that equation the response is: There are countless options.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical. For examples, in the equation 3x + 5 = 14, because equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The emblem and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

The two lines' equations are y = 1/4 (x - 4) and y = 1/4 (x - 1)

By equating them, we obtain: 1/4(x - 4) = 1/4x - 1.

To get rid of the fractions, multiply both sides by 4 as follows: x - 4 = x - 4

This equation may be written as 0 = 0, which is a constant.

The two lines coincide and have an endless number of solutions as a result.

Hence, the response is: There are countless options.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

Step-by-step explanation:

Use the distributive property.

Distributive property:

[tex]\sf{\dfrac{5}{6}=(12p-42) }[/tex]

Multiply by expand.

[tex]\Longrightarrow: \sf{\dfrac{5}{6}\cdot \:12p-\dfrac{5}{6}\cdot \:42}[/tex]

Solve.

5/6*12p=10p

5/6*42=36

Use the order of operations.

PEMDAS stands for:

[tex]\sf{\dfrac{5}{6}\cdot \dfrac{42}{1}=\dfrac{5*42}{6} }[/tex]

Divide.

42/6=7

Multiply.

5*7=35

Subtract.

35-35=0

[tex]\Longrightarrow: \boxed{\sf{10p-35}}[/tex]

Therefore, the correct answer is 10p-35.

I hope this helps. Let me know if you have any questions.

Answer:

[tex]10p - 35[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]\frac{5}{6}(12p - 42)[/tex]

[tex](\frac{5}{6}*12p) + (\frac{5}{6} * (-42))[/tex]

[tex]\frac{60p}{6}-\frac{210}{6}[/tex]

Step 2:  Simplify the expression

[tex]\frac{60p}{6}-\frac{210}{6}[/tex]

[tex]10p - 35[/tex]

Answer:  [tex]10p - 35[/tex]

Answer:

Start at 2 1/2 plot that. Then go to 3 3/10 which is 3 right of the whole number 3 and plot it. Lastly, draw lines or bumps to represent going from 2 1/2 to 3 3/10.

Step-by-step explanation:

The Simplest way (This includes the graphing part but I advise you to use the addition steps first)

I always like to convert mixed numbers into decimals.

2 1/2 is 2.5 and 4/5 is 0.8.

2.5 + 0.8 = 3.3 which is 3 3/10

Graph:

2 1/2 should be in the middle of the whole numbers 2 and 3.

That is your starting point.

Now to add 4/5 which is 0.8 you could do 2.5 + 0.8 = 3.3

You need to find your ending point.

Your ending point should be 3 tickmarks to the right of 3.

Now, you could draw hop marks or arrows starting from 2 1/2 to 4/5

Addition Steps:

First, convert 2 1/2 to an improper fraction.

2x2 + 1 = numerator.

4+1 = 5

5/2 is 2 1/2.

Now you need to find a common denominator for 2 and 5.

This should be 10.

Multiply 5/2 by 5/5

Multiply 4/5 by 2/2

25/10 and 8/10 should be the answers

Now do 25+8 but keep the denominator 10.

25+8 is 33/10.

You could convert it to 3.3 which is 3 3/10  

3 3/10 is on your number line.

Answer:

11. The sampling method is biased. This is because the researcher only interviews people coming out of the restaurant instead of people in the restaurant or walking on the street. This would be called convenience sampling.

12. There is bias in the question. The writer prefers chocolate over vanilla by the words used to describe the two flavors.

(Sorry if this was too late for you by the way.)

Question:

Can anyone help been stuck for a while

Answer:

[tex]\frac{5}{11}[/tex]

Step-by-step explanation:

30 regular flavors.

25 watermelon flavors.

Add them both and you get:
55.
Turn that into a fraction:

[tex]\frac{25}{55}[/tex]

The reason the numorator is 25 is because there are 25 watermelon flavors and 55 flavors total.

Find the GCD (or HCF) of numerator and denominator.

The GCD of 25 and 55 is 5.

Divide both the numerator and denominator by the GCD

25 ÷ 5 = 5

55 ÷ 5 = 11

Reduced fraction:

[tex]\frac{5}{11}[/tex]

Therefore, [tex]\frac{25}{55}[/tex] simplified to lowest terms is:

[tex]\frac{5}{11}[/tex]

Therefore, the answer is: [tex]\frac{5}{11} \\[/tex]

21

The value of the home after 21 years is 200,000(1.035)^21=411,886.29

Answer:

60 cubic inches

Step-by-step explanation:

volume of prism

= area of triangular base x length(or height)

= (1/2 x base of triangular base x height of triangular base) x length

= (1/2 x 2 x 3) x 20

= 60 cubic inches

hope this helps!

Answer:

Arc cd = 60 degrees

Step-by-step explanation:

Angle E is an inscribed angle ....inscribed angle will intercept twice as many degrees of arc as the angle measure

  angle measure = 62    twice as many degrees of arc = 124  (b-c-d)

     bc = 64    so   cd  = 60    for the total of 124