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3 years ago

A teacher graded s 27 tests in 3 hours. Do these quantities(number of tests graded in time) vary directly or inversely? Explain.

Mathematics

1 answer:

Gwar [14]3 years ago

3 0

Answer:

directly

Step-by-step explanation:

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FINDE THE DOMAIN OF THE FUNCTION g(x)=roots x+7 write your answer using INTERVAL NOTATION.

Anna007 [38]

Answer:

Domain: [-7, ∞)

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Step-by-step explanation:

Step 1: Define function

g(x) = √(x + 7)

Step 2: Determine

We know that we cannot have a negative under the square root as it will produce imaginary numbers. Therefore, on a real number scale, the square root can be no less than or equal to 0.

We see from the function that in order to get 0 under the square root, x = -7. If we have x = -8, we would get -1 under the square root, thus giving us an imaginary numbers.

Therefore, our domain is x ≥ -7 or [-7, ∞).

8 0

3 years ago

What is the rate of change

natima [27]

Answer:

$m=-4$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from table.

Point (-1, -1)

Point (0, -5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m. Rate of change and slope are identical.

Substitute [SF]: $m=\frac{-5+1}{0+1}$
Add: $m=\frac{-4}{1}$
Divide: $m=-4$

6 0

3 years ago

!HELP! SHOW WORK PLEASE SO I CAN UDNERSTAND!

Nata [24]

Ok.

The volume of a cone is the volume of a cylinder over 3.

The volume of a cone is:
$\frac{1}{3} \pi r^{2}h$

This problem gives us the diameter, which is twice of the radius. So, we'll just half it.
Radius (me) = 4 cm.

Substitute our given values into the equation.
$\frac{1}{3} \pi (4)^{2}h \ or \ \frac{1}{3} \pi (4)^{2}(10) \ or \ \frac{1}{3} \pi (16)(10)$

Multiply
$\frac{1}{3} \pi(160) \ or \ \frac{1}{3} (3.14)(160) \ or \ 1.047(160)$

Multiply
$167.52 \ cm^{3}$

This would make $167 \ cm^{3}$ the closest option.