Kiran says that -2<-5. Do you agree with Kiran? Explain or show your reasoning.


Answer 1


No I do not agree. -2 is closer to 0 than -5

Step-by-step explanation:

-5 -----------> -2---------> 0

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I need help quick A student is cutting a square out of a piece of poster board. The area of the poster board can be represented as (4x ^ 2 + 14x - 8) in ^ 2 The area of the square can be represented as (x ^ 2 + 8x + 16) in^2 Write an expression to represent the area of the poster board left over after the student cuts out the square



area left = (3x² + 6x - 24) in²

Step-by-step explanation:

the area of poster board left

= area of poster board - area of square cut out

= 4x² + 14x - 8 - (x² + 8x + 16) ← distribute parenthesis by - 1

= 4x² + 14x - 8 - x² - 8x - 16 ← collect like terms

= (4x² - x² ) + (14x - 8x) + (- 8 - 16)

= 3x² + 6x + (- 24)

= (3x² + 6x - 24) in²

A conical water tank with vertex down has a radius of 10 feet at the top and is 20 feet high. If water flows into the tank at a rate of 10 ft3/minft3/min, how fast is the depth of the water increasing when the water is 15 feet deep?


since r=h/2 and V=(hpr^2)/3


V(15)=281.25p and since V=10t, t=28.125p


dV/dh=(3ph^2)/12=(ph^2)/4  and since V=10t, dV/dt=10


dh/dt=120/(3ph^2)  and we want the rate when h=15 so


dh/dt=0.05658 ft/min  

Final answer:

The rate at which the water's depth is increasing when it is 15 feet deep is approximately 0.028 feet per minute.


The subject of the student's question is related to the concept of volumes of revolution and rates of change in calculus. This is a practical application of those principles.

If we use the formula for the volume of a cone, we get: V = 1/3(pi*r²*h). Looking at our provided situation, we see that r = h/2, so we can replace r with h/2, giving us V = 1/3(pi*(h/2)²*h). This simplifies down to V = 1/12*pi*h³.

Next, differentiate the volume with respect to time (t), giving us dV/dt = 1/4*pi*h²*dh/dt. We know that dV/dt = 10 ft³/min (the rate at which water is flowing into the tank), and we want to find dh/dt when h = 15 ft.

Substitute these values into the differentiated equation to solve for dh/dt: 10 = 1/4*pi*(15)²*dh/dt therefore dh/dt = 10 / (1/4*pi*15²) which gives us approximately 0.028 ft/min.

Learn more about Calculus here:


A square is a figure with four sides of equal length and four right anglesa)conditional statement


The statement given in the statement is the definition of square.

What is a square?

A square is closed, two-dimensional shape with 4 equal sides and all the internal angles are right angles.

How to find which is the best statement?

  • In the question it is given that A square is a figure with four sides of equal length and four right angles.

So this is nothing but the definition of square .

So the correct answer is definition

Find more about "Squares" here:



c) definition

Step-by-step explanation:

Are these proportional. which is



Only the one to the left

Step-by-step explanation:

Because they are all equivalent ratios

A football team loses 2 yards every 5 minutes. How many yards did the team lose after 15 minutes?


After 15 minutes the football team lost 6 yards
After 15 mins the team loses 6 yards

Simplify x
{x}^(2)  + 6x - 12


Answer: x=8

Step-by-step explanation: