The dot plots represent the number of students who enrolled each year for the AP psychology course at two schools. The data represents the last 24 years. Which statement is true based on the mean number of students enrolled in the course?

Answer:

The simplified expression is given as

[tex]8x^2y^4(17x^2-2)[/tex]

Step-by-step explanation:

step one:

Given the expression

[tex]x^2y^4(x^2 - 16) - 9y^4(x^4 - 16)[/tex]

step two:

First, let us open the bracket we have

[tex]x^2y^4(x^2 - 16) - 9y^4(x^4 - 16)\\\\x^4y^4-16x^2y^4-9x^4y^4+144x^4y^4\\\\[/tex]

step three:

collect like terms we have

[tex]x^4y^4-16x^2y^4-9x^4y^4+144x^4y^4\\\\x^4y^4-9x^4y^4+144x^4y^4-16x^2y^4\\\\-8x^4y^4+144x^4y^4-16x^2y^4\\\\136x^4y^4-16x^2y^4\\\\\\[/tex]

step four:

we can now factor out [tex]8x^2y^4[/tex]we have

[tex]8x^2y^4(17x^2-2)[/tex]

Answer:

Step-by-step explanation:

The answer of 1 question is 9 because square of 9 is 81 and 9 x 9 times is 81

Answer:

2.3a + 0.8a =

2.3

+ 0.8

________

3.1

________

So therefore, 2.3a + 0.8a = 3.1a

Answer:

x = 36

y = 22

Step-by-step explanation:

Let's solve for x

<EOG is a right angle due to the marking. Since that's the case, m<EOG = 90.

<EOF + <FOG = <EOG

Now let's substitute the values in.

54 + x = 90

x = 36

Let's solve for y

<AOB is 180 because it's a line.

<BOD + <COB = 180 because of supplementary angles

<BOD + 156 = 180

<BOD = 24

Let's create the equation now.

<AOE + <EOF + <FOG + <GOD + <BOD = <AOB

Now let's substitute the values in.

y + 54 + x + 2y + 24 = 180

3y + x + 78 = 180

Now let's substitute 36 for x.

4y + 36 + 78 = 180

3y + 114 = 180

3y = 66

y = 22

Hope this helped! If not, please let me know! <3

Answer:

I can't see -_-

Step-by-step explanation:

I can't -_-

Answer: Place the compass point at A i think

Step-by-step explanation: if a and b go toghter than its not c so i would be ertier since b is closer it is not b so the answer is a i think

B) Place the compass point at B

Answer:

5

Step-by-step explanation:

The account balance after transactions will be $90.

What is Addition?

A process of combining two or more numbers is called addition.

Given that;

The account started with a balance of $125 and

deposit $50,

deposit $35

withdrawal -$70

withdrawal -$50

Now,

Deposit in account means to add the amount and withdrawal means to remove money from account.

Since, The account started with a balance of $125.

After deposit $50,

The account balance = $125 + $50 = $175

Again after deposit $35;

The account balance = $175 + $35 = $210

After withdrawal -$70;

The account balance = $210 - $70 = $140

Again after withdrawal -$50;

The account balance = $140 - $50 = $90

Thus, The account balance after transactions will be $90.

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Answer:

p = (2h-W)/-3

Step-by-step explanation:

2h - W = -3p

divide both sides by -3

(2h-W)/-3 = p

The value of p is w/3 - 2h/3.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S

Given:

2h = W-3p

For p move w

2h - w = -3p

Now,  divide both side by 3

2h/3 - w/3 = -3p/3

2h/3 - w/3 = -p

p= w/3 - 2h/3

Hence, the value of p is w/3 - 2h/3.

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Answer: 0, -1, -2

The sum of three consecutive integers is -3. So, we must find three consecutive numbers that total to -3.

The numbers can be 0, -1, and -2 because these are consecutive numbers.

So, the answer is 0, -1, and -2. Hope this helps you!

Answer:

y = 1

General Formulas and Concepts:

Horizontal lines always have a slope m of 0.

y = 0x + b

y = b

Step-by-step explanation:

Step 1: Define

Slope m = 0

y-int (0, 1)

Step 2: Write equation

y = 1

Answer:100

Step-by-step explanation:

Expand

x = 150 - 0.5x

Add 0.5x to both sides

x + 0.5x = 150

Simplify x + 0.5x to 1.5x

1.5x = 150

Divide both sides by 1.5

x = 150/1.5

Simplify 150/1.5 to 100

x = 100

Answer: the correct awnser is 100

Step-by-step explanation:

Answer:

He's definitely on the right track on saving money for his retirement. As the years move along, he can continue to save money in his savings account.

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

It's True (I think so) :)

Answer:

b)280° and c) 270°

A reflex angle is an angle which is more than 180° but less than 360°

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Step-by-step explanation:

180 is reflex angle.

hope it's helpful

Answer:

31.3 minutes were spent reading

Step-by-step explanation:

If it takes 1.2 minutes to read each page for science and you read 9.75 pages of science, then you must multiply these two numbers together

9.75 pages × 1.2 mins = 11.7

If it takes 0.8 of a minute to read each page of the play and you read 24.5 pages of a play, then you also multiplying these two numbers

24.5 pages × 0.8 mins = 19.6

If we must find out the time spent reading, we must add these two numbers together

11.7 + 19.6 = 31.3

Answer:

277

Step-by-step explanation:

14^2+5(14)+11=

196+70+11=

277

Start by substituting 14 in for x everywhere that x appears in the problem.

So we have (14)² + 5(14) + 11.

Remember that PEMDAS tells you to deal

with your exponents before multiplying.

So you must square the 14 to get 196.

So we have 196 + 5(14) + 11.

Now multiply 5(14) to get 70.

So we have 196 + 70 + 11.

Now we can simply add to get 277.

Answer:

-92

Step-by-step explanation:

4a^2-2b^2+40 a=2. b=7

Fill in variables

4(2)^2-2(7)^2+40      a=2. b=7

8^2 - 14^2 + 40

64 - 196 +40 = -92

Answer:

i think somebody invented math just so he could torture people

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:    54

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

Answer:

y-x = -6

Step-by-step explanation:

Ok so you have 2y-6x=2

step 1: when you add 6 to 6x it cancels out the 6 then subtract 2 by six and get 2y-x=-4.

step 2: when you add 2 to 2y it cancels out the 2 then subtract -4 by two and get your answer.

i hope this helped

Answer:

16

Step-by-step explanation:

8 ÷ 2(2+2)

Pemdas

Parentheses first

8 ÷ 2(4)

Multiply and divide from left to right

4(4)

16

Value of

8 divided 2(2+2) = 16

Given,

8 divided 2(2+2)

Following the BODMAS rule:

The BODMAS rule follows the order of the BODMAS acronym, in which B – Brackets, O – Order of powers or roots, D – Division, M – Multiplication A – Addition, and S – Subtraction.

The BODMAS rule states that mathematical expressions with more than one operation need to be solved from left to right inside the order of BODMAS.

Hence,

In the given expression parenthese will be opened first and then division will be applied .

8 divided 2(2+2)

= 16

= 16

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The total earnings with fees this week will be $571.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

Takira is an arrangement setter for a deals association. She makes $12 an hour in addition to a $3 charge for every arrangement that is planned.

Let 'x' be the number of hours and 'y' be the number of appointments. Then the equation is given as,

Total earnings = $12x + $3y

This week. Takira worked 40 hours and scheduled 31 appointments. Then the total earnings are calculated as,

Total earnings = $12(40) + $3(31)

Total earnings = $480 + $91

Total earnings = $571

The total earnings with fees this week will be $571.

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Answer:

18

Step-by-step explanation:

There are selveral ways of doing this

1. add all the numbers together so 2+10+6=18

or

2. 3x= (2+10) +6

          (12)+6

          18

3x=18

/3.  /3

x=6

then 3(6)

therefore equalling 18 as well