write the given polynomial in standard form and write its degree .
y³+2y(y-y³)+5y²+5y+15.
If necessary simplify.
​

Answer:

4/27

Step-by-step explanation:

total number of marbles=9

probability of red=4/9

since you returned the first marble, the total number of marbles remains the same

prob(Blue)=(3/9)=1/3

P(red then blue)=(4/9)*(1/3)

=4/27

Answer:

12 and 14

Step-by-step explanation:

15 - 20% = 12

20 - 30% = 14

ez

Answer:

4 gallons per min

Step-by-step explanation:

32g per 8 mins

32 divide by 8= 4g

P(AIB) =0.55

P(B)=0.2

A and B are dependent events.

applying the rule of Conditional Probability:

So, correct answer is B. 0.22

Answer:

Step-by-step explanation:

More information is needed to answer this question.

Answer:

67

Step-by-step explanation:

The inverse of the conditional "If t<5, then t>6" is "If t≥5, then t≤6"  is not always true but true for some values of t.

An expression, rule, or law that defines a relationship between one variable and another variable.

Let's first consider the original statement: "If t<5, then t>6."

This statement is saying that if t is less than 5, then it must be greater than 6, which is impossible since no number can be less than 5 and greater than 6 at the same time.

So the original statement is always false, no matter what value of t we choose.

So, the inverse of "If t<5, then t>6" is "If t≥5, then t≤6".

This statement is saying that if t is greater than or equal to 5, then it must be less than or equal to 6.

This statement is true for any value of t that is greater than or equal to 5 and less than or equal to 6.

Hence, the inverse of the conditional "If t<5, then t>6" is "If t≥5, then t≤6"  is not always true but true for some values of t.

To learn more on Functions click:

https://brainly.com/question/21145944

#SPJ9

Answer:

Let's denote:

- The number of orders Diane served as `D`

- The number of orders Sam served as `S`

- The number of orders Boris served as `B`

From the problem, we know:

1. `D + S + B = 54` (the total number of orders they served)

2. `D = S - 6` (Diane served 6 fewer orders than Sam)

3. `B = 2S` (Boris served 2 times as many orders as Sam)

We can substitute equations 2 and 3 into equation 1 to solve for the variables:

Substitute `D` and `B` in equation 1:

`(S - 6) + S + 2S = 54`

Combine like terms:

`4S - 6 = 54`

Add 6 to both sides:

`4S = 60`

Divide by 4:

`S = 15`

Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:

`D = S - 6 = 15 - 6 = 9`

`B = 2S = 2 * 15 = 30`

So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.

Answer:

Number of orchestra tickets = 8

Number of balcony tickets = 22

Step-by-step explanation:

Let the number of orchestra tickets be x and number of balcony tickets be y.

So, cost of x orchestra tickets = $148 × x = $148x

Cost of y balcony tickets = $65 × x = $65y

Also given, total number of tickets = 30

Cost of 30 tickets = $2,614

So, the system of equations that can ne formed is :

x + y = 30     ....eq 1

148x + 65y = 2614    ....eq 2

Multiplying eq 1 by 148 and subtracting eq 2 by it,

148x + 148y - 148x - 65y = 4440 - 2614

83y = 1826

y = 1826/83 = 22

Substituting y = 22 in eq 1,

x + 22 = 30

So, x = 30 - 22 = 8

Thus,

Number of orchestra tickets = 8

Number of balcony tickets = 22

Step-by-step explanation:    

Step 1: Break off 1 from 6:

6  1/5  = 5  6/5

= 5 6/5 - 3 3/4

Step 2: Subtract whole numbers:

5 - 3: 2

Step 3: Combine Fractions:

6/5 - 3/4: 9/20

Step 4: Solve:

= 2 + 9/20

ANSWER: = \(2\frac{9}{20}\)

Explanation in words:        

- To solve this equation, the first step is to break off 1 from 6 and the answer will result as 5 6/5 - 3 3/4.

- To solve the equation, the second step is to subtract the whole numbers and the answer will result as 5 - 3:2.

- To solve the equation, the third step is to Combine Fractions and the answer will result as 9/20.

- To solve the equation, the last step is to solve the equation which is

2 + 9/20. After solving that the answer will led up being as 2 9/20.

Easy Steps: See Attachment

Answer:      

\(2\frac{9}{20}\)

Hope this helps.

The value of x is 33.2

Similar triangles are triangles that have the same shape, but their sizes may vary. The corresponding angles of similar triangles are congruent or equal.

Also the ratio of corresponding sides of similar triangles are equal.

Therefore;

Triangle EHG and EFG are similar

39/36 = 36/x

36 × 36 = 39x

39x = 1296

divide both sides by 39

x = 1296/39

x = 33.2

Therefore the value of x is 33.2

learn more about similar triangles from

https://brainly.com/question/14285697

#SPJ1

Answer:

5/6=10/12 10/12=5/6 3/12=1/4 3/4=9/12

Answer:

$200

Step-by-step explanation:

Answer:

$200

Step-by-step explanation:

$250 - $50 = $200

Answer:

80m2 wtfffffffffffffffffffff

The equation of the axis of symmetry of the parabola is equal to x = 4.

In this problem we find the representation of a parabola whose axis of symmetry is parallel with y-axis. The axis of symmetry passes through the vertex of the parabola. The definitions of the vertex and the axis of symmetry are, respectively:

Vertex

(x, y) = (h, k)

Axis of symmetry

x = h

If we know that h = - 4, then the equation of axis of symmetry is x = 4.

To learn more on parabolae: https://brainly.com/question/29267743

#SPJ1

Answer:

Step-by-step explanation:

the answer is 18 I think?

Answer:

18

Step-by-step explanation:

6 (legs) x 3 (ants) = 18 legs

It can also be represented as 6+6+6 (18)

hope this helps :)

Answer:

2 3/4

Step-by-step explanation:

So area is just base X height

3 X 11/12

2 3/4

The amount of increase between the original price  $9 billion and current price of $32.347 billion is 23.347 billions dollars

The original price or amount is 9 billion dollars.

The price later changed to $32.347 billion. This means the current price is $32.347 billion.

Therefore, the change or increase in amount can be calculated as follows;

increase = 32.347 billion - 9 billion

Hence,

amount of Increase = 23.347 billions dollars

learn more increase here: https://brainly.com/question/15057058

#SPJ1

Answer:

24×20×30=14,400 minutes

Answer:

180

Step-by-step explanation:

\(0.45x = 81\\45x = 8100\\x = 180\)

Lucy had a total of 0.9 pieces of a cookie, her friend gypsy gave her x pieces of a cookie and her other friend Jacob gave her 5 pieces of a cookie. What does the letter X stand for in this problem?

Step 1: Write the dividend and divisor:

\(\sf\:\frac{{x^3 - 8x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 2: Divide the first term of the dividend by the first term of the divisor:

\(\sf\:\frac{{x^3}}{{x}} = x^2 \\ \)

Step 3: Multiply the divisor (x - 4) by the result (x^2):

\(\sf\:(x - 4) \cdot (x^2) = x^3 - 4x^2 \\ \)

Step 4: Subtract the result from the original dividend:

\(\sf\:(x^3 - 8x^2 + 6x + 41) - (x^3 - 4x^2) = -4x^2 + 6x + 41 \\ \)

Step 5: Bring down the next term from the dividend:

\(\sf\:\frac{{-4x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 6: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-4x^2}}{{x}} = -4x \\ \)

\(\sf\:(x - 4) \cdot (-4x) = -4x^2 + 16x \\ \)

\(\sf\:(-4x^2 + 6x + 41) - (-4x^2 + 16x) = -10x + 41 \\ \)

Step 7: Bring down the next term from the dividend:

\(\sf\:\frac{{-10x + 41}}{{x - 4}} \\ \)

Step 8: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-10x}}{{x}} = -10 \\ \)

\(\sf\:(x - 4) \cdot (-10) = -10x + 40 \\ \)

\(\sf\:(-10x + 41) - (-10x + 40) = 1 \\ \)

Step 9: There are no more terms to bring down, so the division is complete.

Step 10: Write the final result:

The quotient is \(\sf\:x^2 - 4x - 10\\\) and the remainder is 1.

Therefore, the division of \(\sf\:(x^3 - 8x^2 + 6x + 41) by (x - 4) \\\) is:

\(\sf\:(x^3 - 8x^2 + 6x + 41) ÷ (x - 4) \\ \) \(\sf\:= x^2 - 4x - 10 + \frac{{1}}{{x - 4}} \\ \)

The length of the third side is 14.4 units.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We find the third side of a triangle by using Pythagoras theorem.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

8²+12²=x²

64+144=x²

208=x²

Take square root on both sides

x=14.4

Hence, the length of the third side is 14.4 units.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ1

Step-by-step explanation:

Calculate the value of decimal equivalents of complements, net decimal equivalent and net price with the help of given data:

List price= $200

Trade discount series= 20/10

Calculate the decimal equivalents of complements using given formula:

Complements of successive discount = 

= 80% / 90%

Hence, decimal equivalent of complements are 80% / 90%.

Answer:

Trade discount = $235.40

Step-by-step explanation:

List price :

Slacks = 22

Jumpers = 37

Total amount before discount = (30 x 22) + ( 40 x 37)

                                              = 660  +  1480

                                              = 2140

Discount rate = 11%

So,

  \(Discount \ price = 11 \% \ of \ 2140\\\\Discount \ price = \frac{11}{100} \times 2140 = 235.40\)

Answer:

do you maybe have a picture to go with this??

Answer:

Cost for each pound of jelly beans:  $2.75

Cost for each pound of almonds:  $3.75

Step-by-step explanation:

Let J be the cost of one pound of jelly beans.

Let A be the cost of one pound of almonds.

Using the given information, we can create a system of equations.

Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:

\(\implies 3J + 5A = 27\)

Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:

\(\implies 9J + 7A = 51\)

Therefore, the system of equations is:

\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)

To solve the system of equations, multiply the first equation by 3 to create a third equation:

\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)

\(9J+15A=81\)

Subtract the second equation from the third equation to eliminate the J term.

\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)

Solve the equation for A by dividing both sides by 8:

\(\dfrac{8A}{8}=\dfrac{30}{8}\)

\(A=3.75\)

Therefore, the cost of one pound of almonds is $3.75.

Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.

Using the first equation:

\(3J+5(3.75)=27\)

\(3J+18.75=27\)

\(3J+18.75-18/75=27-18.75\)

\(3J=8.25\)

\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)

\(J=2.75\)

Therefore, the cost of one pound of jelly beans is $2.75.

Answer:

c

Step-by-step explanation:

the line is going down so we know it has to be a negative slope narrowing the answer choices down to a and c but when you pick a point to check for the reigon (i used 0,0 as a basic point) only c satisfies the inequality while keeping the point , not a.

Answer:

the answer is 70

Step-by-step explanation:

Answer:

Step-by-step explanation:

Determine the two consecutive multiples of 10 that bracket 551

551 is between 550 and 560

555 is the midpoint between 550 and 560

As illustrated on the number line, 551 is less than the midpoint (555)

Therefore, 551 rounded to the nearest ten = 550

551 rounded to the nearest ten with a number line

Answer: 551.36

Step-by-step explanation:

“Of” means you have to multiply so multiply 133.5 and 413 and you will get 55,135.5 then you move the decimal point to the right 2 times and that will be 551.355, then since there is a five you change the other five to a 6 (5 or more raise the score 4 or less let it rest) and that will be 551.36.