a pine tree is shaped like a cone with a radius of 8 feet and a volume of 3887.2 cubic feet. what is the height of the pine tree?

The solution to the given equation -1 = -1 + (p/8) is p = 0.

Given the data in the question;

Solve for p to determine the solution to the equation.

-1 = -1 + (p/8)

Rewrite the equation as;

-1 + (p/8) = -1

Next, move all terms containing p to the left side and all constants to the right side of the equation.

-1 + (p/8) = -1

(p/8) = -1 + 1

Add -1 and 1

p/8 = -1 + 1

p/8 = 0

p = 0 × 8

p = 0

The solution to the given equation -1 = -1 + (p/8) is p = 0.

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Write out the decimal expansion of each number:

[tex]212_x \equiv 2x^2 + x + 2[/tex]

[tex]122_x \equiv  x^2 + 2x + 2[/tex]

[tex]1111_x \equiv x^3 + x^2 + x + 1[/tex]

Note that [tex]x[/tex] must be greater than 2. Solve for [tex]x[/tex].

[tex]212_x + 122_x = 1111_x \iff (2x^2 + x + 2) + (x^2 + 2x + 2) = x^3 + x^2 + x + 1 \\\\ ~~~~ \implies 3x^2 + 3x + 4 = x^3 + x^2 + x + 1 \\\\ ~~~~ \implies x^3 - 2x^2 - 2x - 3 = 0 \\\\ ~~~~ \implies (x^3 - 3x^2) + (x^2 - 3x) + x - 3 = 0 \\\\ ~~~~ \implies x^2(x-3) + x(x-3) + (x-3) = 0 \\\\ ~~~~ \implies (x-3) (x^2+x+1) = 0 \\\\ ~~~~ \implies \boxed{x=3}[/tex]

Answer: x=-1, y=2

Step-by-step explanation:

4x + 5y = 6

6x - 7y = -20

(4x + 5y = 6)*1.5

6x + 7.5y = 9

6x - 7y = -20

7.5y-(-7y)=9-(-20)

7.5y+7y=9+20

14.5y=29

y=2

4x + 5y = 6

4x + 5(2) = 6

4x+10=6

4x=-4

x=-1

Answer:

Since the simplest form of the fraction 20/50 is 2/5, the simplest form of the ratio 20:50 is also 2:5.

the equations y = - x - 4 and - 7 x + 8 y = 16 have the solution as x = - 16 / 5 and y = - 4 / 5.

We are given the two equations:

y = - x - 4

- 7 x + 8 y = 16

We need to solve these equations by substitution.

We will substitute the equation 1 in the equation 2 to get the values of x and y:

- 7 x + 8 y = 16

- 7 x + 8 (- x - 4) = 16

- 7 x - 8 x - 32 = 16

- 15 x = 16 + 32

- 15 x = 48

Divide both sides by - 15, we get that:

x = 48 / - 15

x = - 16 / 5

y = - x - 4

Put the value of x

y = 16 / 5 - 4

y = 16 - 20  / 5

Subtract to get the value:

y = - 4 / 5

Therefore, we get that, the equations y = - x - 4 and - 7 x + 8 y = 16 have the solution as x = - 16 / 5 and y = - 4 / 5.

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Answer:

Step-by-step explanation:

upset

Both 3 is an extraneous solution.

We have the equation x - 6 = [tex]\sqrt{3x}[/tex]

To find the value of x we need to square on both side of the equation

[tex](x-6)^{2}[/tex] = [tex](\sqrt3{x} )^{2}[/tex]

[tex]x^{2}[/tex] - 12x + 36 = 3x

[tex]x^{2}[/tex] -15x + 36 = 0

[tex]x^{2}[/tex] - 12x - 3x + 36 = 0

x ( x- 12 ) - 3( x - 12) = 0

(x -12 ) ( x - 3) = 0

Therefore we get x = 12 , 3

Now we will put both the value of x in the equation

x - 6 = [tex]\sqrt{3x}[/tex]

Let put 12 first

12 - 6 = [tex]\sqrt{3 * 12}[/tex]

6 = 6

Now put 3

3 - 6 =[tex]\sqrt{3 * 3}[/tex]

- 3 [tex]\neq[/tex] 3

Therefore 3 is an extraneous solution .

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The problem is on indices. Write 36 in form of its prime factors. Apply the power rule (a^m)^(1/n)=a^(m/n).

36^(1/2)

(6^2)^(1/2) = 6^(2×1/2) = 6

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If the baker has a total of 1/2 bags of flour, the total weight of the bags of flour is 1.625

What is the weight of a bag of flour in pounds?

The fact that each bag of flour weighs 3 and 1/4 pounds means that each bag of flour is 3.25 pounds, in essence, the total weight of flour that the baker has can be determined as the weight of a bag of flour multiplied by the total of 1/2 bags of flour.

total weight of bags of flour=weight of a bag of flour*total weight of baker's flour

weight of a bag of flour=3.25 pounds

total weight of baker's flour=1/2 bag

total weight of bags of flour=3.25bags*1/2

total weight of bags of flour=1.625 pounds

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(-2, -3) represents the coordinate of point B from the given expression.

The formula for calculating the midpoint of coordinates is expressed as shown below:

Midpoint = {(x₁+x₂)/2, (y₁+y₂)/2}

Given the following parameters

Midpoint = (3, -4)

A = (8,-5)

Required

Coordinate point B

Substitute the given parameters

3 = (8+x₂)/2

3(2) = 8+x₂

6 = 8+x₂

x₂ = -2

Similarly

-4 = (-5+y₂)/2

-4(2) = -5+x₂

-8 = -5 +y₂

y₂ = -3

Hence the coordinate of point B from the given expression is (-2, -3)

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When the cell phone plan cost thirty dollars for each line, the function is C = 30x.

It should be noted that a function is used to show the relationship that exists between the variables that are given.

In this situation, the cell phone plan cost thirty dollars for each line.

Let each line be represented by x.

Therefore, the cost for the number of likes will be:

C = 30 × x

C = 30x

Therefore, the function is illustrated.

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A solution that is real in its nature is called the real solution of that equation.

X + 5 = 0

We can solve the above equation as,

X + 5 = 0

X = -5

Now, if we plug the value of X into the equation,

X + 5 = 0

-5 + 5 = 0

0 = 0

The solution is real and is true for this equation.

While the solution of an algebraic expression solution is imaginary if it is the square root of a negative number. It involves the imaginary unit iota.

The complete solution of the expression is given below in the picture.

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Answer:

B = -1189/40

C = -13/18

Step-by-step explanation:

use your calculator to solve

and use the BODMAS method to help solve

One pair of vertical angles are ∠1 and ∠4.

One pair of angles that are congruent are ∠3 and ∠6.

One pair of angles that are congruent are ∠3 and ∠6.

Vertical angles are the angles opposite each other when two lines cross.

Vertical angles are congruent. This means vertical angles are equal to each other.

Therefore, one pair of vertical angles are ∠1 and ∠4.

Linear pair of angles are formed when two lines intersect each other at a single point.

Therefore, one pair of linear pair angles are ∠6 and ∠8.

Angles are congruent when they are the same. Congruent angles includes corresponding and alternate angles.

Therefore, one pair of angles that are congruent are ∠3 and ∠6.

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Answer:

624,062.58 is your answer :)

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

All i did was divided 3 by 12

Answer:

1/4

Step-by-step explanation:

Blue/total x blue/total

6/12 x 6/12 Which is the same as

1/2 x /12 = 1/4

The length of the diagonal (D) of this rectangular prism is equal to 9.5 feet.

Pythagorean theorem can be defined as a mathematical expression in Euclidean geometry that can be used to solve for any of the three (3) side lengths of a right triangle.

In order to determine the length of the diagonal (D) of this rectangular prism, we would first of all determine the diagonal of the base by applying Pythagorean theorem:

d² = l² + b²

d² = 4² + 7²

d² = 16 + 49

d² = 65

d = √65

Now, we can determine the length of the diagonal (D) of this rectangular prism:

D² = d² + h²

D² = √65² + 5²

D² = 65 + 25

D² = 90

D = √90

Diagonal, D = 9.5 feet.

Therefore, the length of the diagonal (D) of this rectangular prism is equal to 9.5 feet.

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Answer:

angle 5 is vertical to 2

Step-by-step explanation:

Vertical angles are pair angles formed when two lines intersect.

Answer: <5

Step-by-step explanation:

Answer:

35%

Step-by-step explanation:

Decrease in Volume= 4ml-2.6ml

=1.4ml

Percentage Decrease= 1.4/4 x 100

=35%

Lose $13.16

Here, we want to calculate the probability that we would win. The probability of winning is =

( No. of slots that win/ total no. of slots.)

For each individual spin, there  are two possible outcomes:

- There is a 1 in 38 chance of winning $175.

- There is a 37 in 38 chance of losing $5.

The expected value for each spin is the sum of the products of each outcome by their respective probability.

expected value =E1×P1 + E2×p2

175×1/38 + (-5) × 37/38

175/38 - 185/38

-10/38

In 50 spins, the expected value is:

E(50) = 50 × (-10/38)

E(50) =  - $13.16

expect to lose $13.16 if you spin the wheel 50 times.

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According to the question, to calculate the relationship model of the given equations which are as follows:

[tex]z=30[/tex] when [tex]x =3 ; y=2[/tex]

And the condition is z varies jointly with x and y which can be represented as: [tex]z = \frac{k}{xy}[/tex]

Substituting the values to get the final expression:

[tex]30 = \frac{k}{(3)(2)} =\frac{k}{6}[/tex]

[tex]k=180[/tex]

Substitute the value of 'k' in the original equation. And the final expression is: [tex]z = \frac{180}{xy}[/tex]

What is function?

In mathematics, function can be defined as an expression or the rule or the law. It defines the relationship between dependent variable and the independent variable.

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Answer: Yes, all horizontal lines have slope of 0

Reason:

Recall that slope = rise/run

The rise tells us how far to go up or down. A horizontal line does neither. There's no change in y value.

So we have slope = rise/run = 0/run = 0, where "run" is any positive number you want. The run is how far to the right we go each time moving up or down.

Answer: Yes

Step-by-step explanation:

When you have a horizontal line it is flat and has no slope at all

____________________________________

So the slope = 0

Using the De Morgan's Law, the equivalent logical expression of the statement ∼p ∨ ∼q is ∼(p ∧ q)

The expression is given as

∼p ∨ ∼q

The above expression is a logical expression

The De Morgan's Law of logical expression states that

∼x ∨ ∼y = ∼(x ∧ y)

Next, we replace the variables x and y with the given variables in the question

So, we have

∼p ∨ ∼q = ∼(p ∧ q)

The above implies that the equivalent logical expression of the statement ∼p ∨ ∼q is ∼(p ∧ q) using the De Morgan's Law

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43.75 divided by 7 is 6.25, thus your answer is 6.25 hours

The answer is 5.

When a liquid silver is poured into a mold and cools down to become a solid bar is a transition in which the liquid phase is converted into a solid phase which is termed solidification represented by arrow number 5.

Whereas other arrows represent:

Arrow 1 represents the vaporization process where the liquid state changes to a gaseous state.

Arrow 2 represents the Fusion process where the solid-state changes to a liquid state.

Arrow 3 represents the sublimation process where the solid-state changes to a gaseous state by escaping the liquid state.

Arrow 4 represents the condensation process where the gaseous state changes to a liquid state.

Arrow 6 represents the deposition process where the gaseous state changes to a solid state by escaping the liquid state.

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Answer:

58.32

Step-by-step explanation:

100÷12.5=8, 7.29×8=58.32.