All categories

3 years ago

It takes 1 hour (t) to fill the water tank of volume (V) 750 m^3. Identify the dependent and the independent variables.

Mathematics

1 answer:

Alex3 years ago

7 0

Answer:

Step-by-step explanation:

Time is the independent variable here. The tank is being filled and the amount of water in it is dependent on how much time passes by.

This is a straight line function (linear function); the rate at which the tank is filled is:

750 m^3

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

1 hr

You might be interested in

What is the surface area of the prism?

cestrela7 [59]

Step 1: Find the area of the bases (triangles)

A = 1/2 * base * height

A = 1/2 * 16 * 6

A = 48

48 + 48 = 96

Area of the triangles = 96 cm^2

Step 2: Find the area of the sides (rectangles)

A = base * height

A1 = 16 * 12

A1 = 192

A2 = 10 * 12

A2 = 120

120 + 120 = 240

240 + 192 = 432 cm^2

Step 2: Add the areas together

96 + 432

528 cm^2

Hope this helps!! :)

5 0

3 years ago

Help me with this pls

vladimir2022 [97]

90 counterclockwise hope I’m right

8 0

2 years ago

Read 2 more answers

The price of a sandwich is $2.50 more than the price of a smoothie, which is d dollars. What does the expression d +25 represent

kow [346]

Answer: D represents the price of a sandwich and a smoothie

4 0

3 years ago

A manufacturer of new light bulbs claims the average lifetime of its long-life bulb is more than 4000 hours. To test this claim,

natka813 [3]

Answer: C. 12.5

Step-by-step explanation:

Given : A manufacturer of new light bulbs claims the average lifetime of its long-life bulb is more than 4000 hours.

Population mean : $\mu=4000$

Sample size : n= 100

Sample mean : $\overline[x}=4500$

Standard deviation: $s=400$

The value of test-statistic is given by :-

$z=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}\\\\\Rightarrow\ z=\dfrac{4500-4000}{\dfrac{400}{\sqrt{100}}}\\\\\Rightarrow\ z= 12.5$

Hence, the value of the test statistic for this problem is 12.5.

5 0

3 years ago

How do you put f(8)=-1,f(6)=0 into point slop form?

Mademuasel [1]

Answer:

y + 1 = -1/2(x - 8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

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

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate
y₁ - y coordinate
m - slope

Step-by-step explanation:

Step 1: Define

f(8) = -1 → Coordinate (8, -1)

f(6) = 0 → Coordinate (6, 0)

Step 2: Find slope m

Substitute [SF]: $m=\frac{0+1}{6-8}$
Add/Subtract: $m=\frac{1}{-2}$
Simplify: $m=\frac{-1}{2}$

Step 3: Write Function

Substitute into general form.

Point 1: y + 1 = -1/2(x - 8)
Point 2: y = -1/2(x - 6)

4 0

3 years ago