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

Answers

Answer 1
Answer:

Answer:

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

Answers

Answer:

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?

Answers

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

V=(ph^3)/12

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

V=(ph^3)/12

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

(dh/dV)(dV/dt)=dh/dt=12/(3ph^2)*10

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

dh/dt(15)=120/(675p)

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.

Explanation:

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:

brainly.com/question/32512808

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A square is a figure with four sides of equal length and four right anglesa)conditional statement
b)postulate
c)definition
d)conjecture

Answers

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: brainly.com/question/25092270

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Answer:

c) definition

Step-by-step explanation:

Are these proportional. which is

Answers

Answer:

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?

Answers

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

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

Answers

Answer: x=8

Step-by-step explanation: