The elevation E, in meters, above sea level at which the boiling point of a certain liquid is t degrees Celsius is given by the function shown below. At what elevation is the boiling point 119.5? 120? E(t)= 1200(120-t)+520(120-t)^2 At what elevation is the boiling point 119.5?
E(119.5)= (the answer) meters

Answer:

x +4

Step-by-step explanation:

3x-4+2x+8

Combine like terms

3x+2x  -4+8

x +4

Answer:

5x + 4

Step-by-step explanation:

3x - 4 +2x * 8

Combine 3x and 2x

5x - 4 +8

Combine -4 and 8

5x + 4

[tex]\circ\sf\:-7x+y^3+7x^3+6x-3y^3-2x^3+3x[/tex]

[tex]\circ\sf\:(-7x+6x+3x)+(y^3-3y^3)+(7x^3-2x^3)[/tex]

[tex]\circ\sf\:(-7x+9x)+(-2y^3)+(5x^3)[/tex]

[tex]\circ\sf\:2x-2y^3+5x^3[/tex]

[tex]\circ\:\underline{\boxed{\bf{\blue{x(2-5x^2)-2y^3}}}}[/tex]

Answer:

11x² - y

Step-by-step explanation:

Step 1: Write out expression

10x² - y + x²

Step 2: Combine like terms

11x² - y

That is simplest form.

Answer:

[tex]\huge \boxed{11x^2-y}[/tex]

Step-by-step explanation:

[tex]10x^2 -y + x^2[/tex]

Grouping like terms.

[tex](10x^2 + x^2)-y[/tex]

Combining like terms.

[tex](11x^2)-y[/tex]

Answer:

Neither

Step-by-step explanation:

-2x+2y=20

First, you need to transfer the [-2x+2y=20] equation to slope intercept form. First, get the y variable on one side by subtracting -2x from the left side.

So then you have

2y= 2x+20

Then you divide the 2 from the y on BOTH side

y= x+10

Now compare the slope of both equations

y= -1/2x+10 (slope= -1/2)

y=x+10 (slope= 1)

Since the parallel slope to -1/2 is the same slope

Since the perpendicular slope to -1/2 is equal to 2/1 or 2,

Neither of them work

Answer:

9-ones

90-tens

900-hundreds

1000-thousands

70000-tens of thousands

Step-by-step explanation:

Decimal places means the place the number is representing.

Decimal places are in ones, tens, hundreds, thousands, tens of thousands, hundreds of thousands, millions, etc

You first begin with the last number and the last number is in ones,then you move to the second number from the last which is in tens then it follows in that sequence.

It is 72 because 24 * 3 = 72. The Number is 14

Answer:

proper fractions:

4/10=0.4(decimal form)

5/100=0.05(decimal form)

1000/10000=0.1(decimal form)

2/4=0.5(decimal form)

11/55=0.2(decimal form)

Step-by-step explanation:

Answer:

No, there is no relationship

Step-by-step explanation:

Since there are no pairs of integers, I will give a general answer.

The distance between any two numbers is the absolute value of their difference.

For example we need a distance between numbers of x and y, then we just subtract them in any order and take absolute value of it:

or

There is no relationship between the sum of the numbers.

It would make sense only in case one of the numbers is zero. Then the sum or difference would be same.

Its not factorable

(make sure you typed it up right)

Answer:a=-13

—-

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

sqrt(80b^2) can be also written as sqrt(16(5)b^2).

The property sqrt(x*y) = sqrt(x) * sqrt(y) allows us to factor out square root of 16. Thus,

sqrt(16) * sqrt(5) * sqrt (b^2)

4*sqrt(5)*sqrt(b^2)

Sqrt(b^2) is the same as b^2/2, so Sqrt(b^2)= b

final answer 4b * sqrt(5)

Answer

THE GUY IS RIGHT DO WHAT HE SAYS!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Assuming this interpretation is correct:

24 and a quotient of 3 will lead to 8

And the sum of 24 and 8 is 32.

Cheers.

There are many answers to this question.

For example:12+2=24 and 12/4=3.

Answer:   20 ounces box of cheerios is cheaper.

Step-by-step explanation:

If 10 ounce box of cheerios cost $2.80  and 20 ounce cost $5.20  then to find which is cheaper, you need to find the unit price which is the cost of an ounce.

Divide the money by the amount of ounces.

2.80 / 10 =   0.28   which is 28 cents per ounce.

5.20/20 =  0.26  which is 26 cents per ounce.

So the 20 box of cheerios is cheaper because it is 2 cents less.

Answer:

3/4

Step-by-step explanation:

The mean of a data set is synonymous with the average. To find the mean, add up all the values in the data set and then divide by the number of elements.

From the table, there is 12 values. Thus, add up all the 12 values and then divide by 12:

[tex]\bar x=\frac{(-3)+4+8+(-1)+(-4)+(-2)+0+2+5+2+(-3)+1}{12}[/tex]

Simplify:

[tex]\bar x=\frac{9}{12}[/tex]

Reduce:

[tex]\bar x=3/4[/tex]

Therefore, the mean of the data set is 3/4.

For the data set, this means that the average person guesses the temperature too high by about 3/4°F.

(Note: the symbol of x with a bar over it denotes the mean of a set)

Answer:

Bill spent $988 on taxes.

Step-by-step explanation:

First, you have to find the total amount that Bill spent last month on taxes and groceries as the statement says that he spent 40% of the total amount on that:

$6,000*0.4=$2,400

Then, the statement indicates that the total amount Bill spent on taxes was 70% of the amount he spent on groceries.

Let's consider that:

x=taxes

y=groceries

With the information we can write the following:

x+y=2,400 (1)

x=0.7y (2)

You can replace 2 in 1:

0.7y+y=2,400

1.7y=2,400

y=2,400/1.7

y=1,412

Then, you can replace the value of y in 2:

x=0.7(1,412)

x=$988

According to this, Bill spent $988 on taxes.

Answer:

Stephon can buy total 4 chips bag and 2 candy bar

Given as :

The money which Stephon has in his pocket = $ 12

The cost of one chips bag = $ 2.25

The cost of one candy bar = $ 1.50

The total number of items he can buy = 6

So, Let the number of chips bag he can buy = x

∴ The number of candy bar he can buy = 6 - x

Now, according to question

The number of chips bag×The cost of one chips bag + The number of candy bar×The cost of one candy bar = $ 12

Or, x × $ 2.25 + (6-x) × $ 1.50 = $ 12

Or,  x × $ 2.25 + 9 -  x × $ 1.50 = $ 12

or,  x × $ 0.75 = 12 - 9

or, x =  = 4

The number of chips bag he can buy = x = 4

And The number of candy bar he can buy = 6 - x = 6 - 4 = 2

Hence Stephon can buy total 4 chips bag and 2 candy bar .  

Answer:

[tex]3.14r[/tex] or [tex]\pi r[/tex]

Step-by-step explanation:

Given:

A semicircle.

To find:

Arc length of the semicircle = ?

Solution:

Formula for angle subtended by an arc on the center of circle is given as:

[tex]\theta = \dfrac{l}{r}[/tex]

where [tex]l[/tex] is the arc length and

[tex]r[/tex] is the radius of semicircle.

Angle of full circle is [tex]2\pi[/tex]

So, angle of semicircle = [tex]\pi[/tex]

Using the formula, we can see that:

[tex]l = \theta \times r[/tex]

[tex]\Rightarrow l = \pi \times r\\\\OR\\\Rightarrow l = 3.14r[/tex]

So, the answer is:

Arc Length of semicircle = [tex]3.14r[/tex] or [tex]\pi r[/tex]

Answer:

The answer is 15.7

Step-by-step explanation:

The tutor got it wrong this is the right one on khan academy

Answer:

n=3   n=5

Step-by-step explanation:

|4n−15|=|n|

Positive

4n−15=n

Subtract 4n from each side

-15 = -3n

Divide by -3

-15/-3 = n

5 = n

negative

4n -15 = -n

Subtract 4n from each side

-15 = -5n

Divide by -5

-15/-5 = n

3 = n

Answer:

n=3 and n=5

Step-by-step explanation:

|4n−15|=|n|

we know either

4n-15=-n        or 4n=15=n

4n+n=15              4n-n=15

5n=15                     3n=15

n=15/5=3                 n=15/3=5

Answer:

n=-8 use simple algebra n=x

Step-by-step explanation:

Answer:

-8 = n

Step-by-step explanation:

5n - 4 = 4 + 6n

Subtract 5n from each side

5n-5n - 4 = 4 + 6n-5n

-4 = 4 +n

Subtract 4

-4-4 = n

-8 = n

Answer:

B

Step-by-step explanation:

The vertex is always in the middle.

Answer:

2·x²+4

Step-by-step explanation:

The sum is an answer to an addition problem and 2 times a number means to multiply by 2.  That number is squared so you it's to the second power.

Answer:

2•n^2+4=sum

Step-by-step explanation:

If two times a

number squared and four = sum,

then 2 • n^2 + 4 = sum

Answer:

Hey there!

Scatter plot D illustrates a positive linear relationship.

Let me know if this helps :)

Answer:

x=-y/4 +6

Step-by-step explanation:

First, y to each side.

-4x=y+24

Second, leave the x by itself by dividing both sides by - 4.

x=-y/4 +6

Answer:

Hey there!

The correct options are 3(-255) and -255(3)

A positive number times a negative number equals a negative number. We know that she has debt, which means she owes money. Thus, the money has to be negative.

Let  me know if this helps :)

Answer:

225(3)

Step-by-step explanation:

Answer:

y = -1.0

Step-by-step explanation:

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 4y and subtract 14 from both sides:

1y (+4y) + 14 (-14) = -4y (+4y) + 9 (-14)

1y + 4y = 9 - 14

Combine like terms:

5y = -5

Isolate the variable, y. Divide 5 from both sides:

(5y)/5 = (-5)/5

y = -5/5

y = -1

y = -1 is your answer.

~

15. x>7                   Some of them are unslovable

16. n≥−5

17. G>5

18. k≤1

19.−2<b≤6

20. −8<m<−3

21. unslovable

22. −9<x<4

23. unslovable

24. m<−9 or m>9

Answer:

work is shown and pictured

Answer:

I think K = 10.5

Step-by-step explanation:

First you would do the division of 2/4 which equals 0.5. Now the equation is k-0.5 = 10. If you flip the equation around it is 10 + 0.5 = k. Now you would know that k = 10.5 to check it does 10.5 - 0.5 = 10? Yes.

Answer:

Step-by-step explanation:

Idkkkkkkk

Answer:

Step-by-step explanation: