MATHEMATICS
HIGH SCHOOL

Answer: There are four units of temperatures: Celsius, Fahrenheit, Kelvin and Rankine. The units of Kelvin and Rankine are the absolute temperatures that are very useful in calculations involving process systems.

However, for room temperatures, the common units used are Celsius and Fahrenheit. There is a derived equation relating Celsius and Fahrenheit. But for practical purposes where you don't have to memorize the equation, just remember that the boiling point of water is 100°C or 212°F. So, we use this relationship through ratio and proportion:

100°C/212°F = 158°C/x

x = (158*212)/100

x = 334.96°F

However, for room temperatures, the common units used are Celsius and Fahrenheit. There is a derived equation relating Celsius and Fahrenheit. But for practical purposes where you don't have to memorize the equation, just remember that the boiling point of water is 100°C or 212°F. So, we use this relationship through ratio and proportion:

100°C/212°F = 158°C/x

x = (158*212)/100

x = 334.96°F

HIGH SCHOOL

If FG = 2 units, FI = 7 units, and HI = 1 unit, what is GH? 3 units 4 units 5 units 6 units

I think the points given here are plotted linearly:

FGHI. in this case, we can tell that FG + GH + HI = FI. substituting to the expression devised, 2 units + GH + 1 unit = 7 units. This is equal to 3 units + GH = 7 units. GH is then equal to 4 units.

FGHI. in this case, we can tell that FG + GH + HI = FI. substituting to the expression devised, 2 units + GH + 1 unit = 7 units. This is equal to 3 units + GH = 7 units. GH is then equal to 4 units.

Answer:

4 units

Step-by-step explanation:

HIGH SCHOOL

The product of 8 and the quantity of a number y plus 6 is less than 21

8+6+6=20

and that Is how its done

HIGH SCHOOL

Type the correct answer in the box. Mr. Jensen is a salesperson for an insurance company. His monthly paycheck includes a base salary of $2,175 and a commission of $250 for each policy he sells. Write an equation, in slope-intercept form, that represents the total amount, y, in dollars, of Mr. Jensen's paycheck in a month when he sells x policies. Do not include dollar signs in the equation.

Answer:

The required answer is .

Step-by-step explanation:

Consider the provided information.

The base salary of Mr. Jensen is 2175.

The commission per policy is 250.

The slope intercept form is:

Where, m is slope and c is y intercept.

Let "x" be the number of policy Mr. Jensen sells and "y" is the total paycheck including the commission.

Therefore, the required answer is .

Answer:

y= 250x + 2175

Step-by-step explanation:

the slope intercept form is y = mx + b so you would put 250 for the M because it depends on each policy he sells which is X so y = 250x + b and B is the fixed price of 2,175 so you would get Y = 250x + 2175 as your answer

MIDDLE SCHOOL

Find the linear approximation of the function f(x, y, z) = x2 + y2 + z2

at (6, 6, 7) and use it to approximate the number

6.012 + 5.972 + 6.982

. (Round your answer to five decimal places.)

f(6.01, 5.97, 6.98) ≈

Linear approximation are used to get the approximated values of expressions.

The linear approximation of is 117.90000

The given parameter is;

Calculate

Differentiate (partial derivatives)

Substitute values for x, y and z in the above partial derivatives

The linear approximation is calculated as:

This gives

Substituting values for x, y and z

Hence, the linear approximation of is 117.90000

Read more about linear approximations at:

brainly.com/question/6768038

Answer:

See below in bold.

Step-by-step explanation:

f(x, y, z) = x^2 + y^2 + z^2 at (6, 6, 7)

Taking partial derivatives

f'x = 2x + y^2 + z^2 --> f'x(6,6,7) = 12+36+49= 97

f'y = x^2 + 2y + z^2---> f'y(6,6,7) = 36 + 12 + 49 = 97

f'z = x^2 + y^2 + 2z ----> f'z(6,6,7) = 36 + 36 + 14 = 86.

f(6,6,7) = 36 + 36 + 49 = 121

So our linear approximation is:

L(x,y,z) = 121 + 97(x - 6) + 97(y - 6) + 86(z - 7)

Substituting the given values

f(6.012, 5.972,6.982)

= L(6.012, 5.972, 6.982) ≈ 121 + 97(6.012 - 6) + 97(5.972 - 6) + 86(6.982 - 7)

= 117.9.