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3 years ago

A cone and it’s dimensions are shown in the diagram. What is the volume of the cone in cubic inches?

Mathematics

1 answer:

Nady [450]3 years ago

3 0

Answer:

559.14 (2 decimal places)

Step-by-step explanation:

×j $v=\pi r^{2} * \frac{h}{3} \\\pi (5\frac{5}{6} / 2)*(7\frac{1}{2}/3)\\ =559.1359972$

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Determine the domain and range of the function f(x)= 3x+2. Also, state the intervals where the function f(x)= 3x+ 2 is increasin

aev [14]

Answer:

Increasing on it's domain $(-\infty,\infty)$ because the slope is positive.

The domain and range are both all real numbers, also known as

$(-\infty,\infty)$ .

Step-by-step explanation:

All domain really means is what numbers can you plug in and you get number back from your function.

I should be able to plug in any number into 3x+2 and result in a number. There are no restrictions for x on 3x+2.

The domain is all real numbers.

In interval notation that is $(-\infty,\infty)$ .

Now the range is the set of numbers that get hit by y=3x+2.

Well y=3x+2 is a linear function that is increasing. I know it is increasing because the slope is positive 3. I wrote out the positive part because that is the item you focus on in a linear equation to determine if is increasing or decreasing.

If slope is positive, then the line is increasing.

If slope is negative, then the line is decreasing.

So y=3x+2 hits all values of y because it is increasing forever. The range is all real numbers. In interval notation that is $(-\infty,\infty)$ .

3 0

3 years ago

Round to the nearest thousands<br> 3475.6993

Andreyy89

3475.699

°°°°°°°°°°°°°°°

Am I correct?

4 0

2 years ago

Peter randomly draws a card from a deck of 24. The odds in favor of his drawing a spade from the cards are 1:3. What is the prob

oee [108]

Answer:

1 /4

Step-by-step explanation:

Given that :

Let :

P(S) = probability of drawing a spade

Odds in favor of drawing a spade = 1:3 ; this could be interpreted as :

P(drawing a spade)/P(not drawing a spade) = 1:3

P(S) / P(S') = 1/ 3

P(S') = 1 - P(S)

P(S) / (1 - P(S)) = 1 / 3

Cross multiply :

3P(S) = 1 - P(S)

Collect like terms

3P(S) + P(S) = 1

4P(S) = 1

P(S) = 1/4

Hence, probability ratio of drawing a spade P(S) = 1/4

8 0

2 years ago

It has 2 more vertex than an octagon and 2 fewer sides then a hendecagon

kondaur [170]

It's a hexagon it has 6 sides

4 0

3 years ago

What x value solves the equation?<br><br> 3x – 5 = 1

anzhelika [568]

Answer:

x=2

Step-by-step explanation:

Add 5 to each side.

3x-5+5=1+5

3x=6

Divide each side by 3.

Your answer would be x=2.

8 0

3 years ago

Read 2 more answers