Determine whether the given value is a solution of the equation.

Using limits, it is found that the end behavior of the polynomial function for the volume of the rectangular box is:

B. down and up.

The volume of a rectangular prism of length l, width w and heigth h is given by:

V = lwh.

In this problem, we have that the dimensions are given by:

Hence the volume is given by:

[tex]V = x(x - 1)(x - 2) = x(x^2 - 3x + 2) = x^3 - 3x^2 + 2x[/tex]

It is given by it's limits as x goes to infinity.

Hence:

[tex]\lim_{x \rightarrow -\infty} V(x) = \lim_{x \rightarrow -\infty} x^3 - 3x^2 + 2x = \lim_{x \rightarrow -\infty} x^3 = -\infty[/tex]

[tex]\lim_{x \rightarrow \infty} V(x) = \lim_{x \rightarrow \infty} x^3 - 3x^2 + 2x = \lim_{x \rightarrow \infty} x^3 = \infty[/tex]

Which means that option B is correct.

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Answer:

2 toppings   need to be added to a large cheese pizza from Palanzio's Pizzeria and Guido's Pizza in order for the pizzas to cost the same

Step-by-step explanation:

                   t=toppings

6.80 +0.90t = 7.30+0.65t

0.25t = 0.5

  t = 2

Answer:

False.

Step-by-step explanation:

y+9=0

y=-9

hope you have a good day/night! :)

Answer:

25(m+3)

Step-by-step explanation:

25 is multiplied by (m+3)

'the sum of m and 3' is a quantity which must be indicated using parentheses

Hello!

The sum of means we add:

m+3

Multiply it times 25:

25(m+3)

The answer is Option C.

Now, the option you selected is wrong for the following reasons:

If you translate it into a verbal phrase, this is what it means:

25 plus the product of m and 3

Hence, Option C is correct.

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power! :-)

Answer:

17 < w / 7 is my answer. I am not sure to correct.

Answer:

9×4 - 10 fours - 26 fours

Step-by-step explanation:

9×4 - 10 fours - 26 fours

Answer:

$198.62

Step-by-step explanation:

**You only apply the 15% service fee to $160.18 and not 173.39 (dinner and tax) because the problem says the service fee is applied before tax.

160.18 + 13.21 + 25.23 = 198.62

Hope this helps!

The one thing wrong with the answer is option B. The minus signs should be plus signs.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given quadratic is 4x²+12x+9

Taking common 4

4(x²+3x) + 9

=4(x² + 3x + 9/4) + 9 - 9

=4(x + 3/2)²

=(2x+3)²

=(2x+3)(2x+3)

So, the minus sign must be a plus sign. option B is correct.

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Answer:

well friend you answer is

Step-by-step explanation:

a+ 3/56

i hope this helped

Answer:

Step-by-step explanation:

The appropriate symbolic expression would be

a + 3²

---------

  56

Answer:

You can solve this by setting up an exponential growth equation.

Now we solve for b

Now that we have found b, we can use the equation  to predict how many bacteria will be present after 10 hours.

t = 10

Answer = 4732

Step-by-step explanation:

This is because there's one space labeled "2" out of 38 spaces total.

This fraction is approximately equal to 1/38 = 0.0263 meaning there's roughly a 2.63% chance of landing on this space.

The probability is 0.0263 that the ball will land on 2 in a random spin of the wheel.

The probability is defined as the possibility of an event is equal to the ratio of the number of outcomes and the total number of outcomes.

Assuming an unbiased wheel.

The probability of an event = number of favourable outcomes/ number of total outcomes.

The total number of outcomes is 38

The number of favourable outcomes is one because there's one space labeled "2" out of 38 spaces total.

The probability of an event = 1/38 = 0.0263

Hence, the probability is 0.0263 that the ball will land on 2 in a random spin of the wheel.

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Answer:

113 ft²

Step-by-step explanation:

π = 3.14
r = 6

Use the formula for the area of a circle:
A = πr²
A = 3.14*6²
A = 3.14*36
A = 113.04
A = 113
Hope this helps :)

Answer:

Area = 113 ft²

Step-by-step explanation:

The formula to find the area of a circle is:

Area = π × r²

r is the radius that can be found by taking half of the diameter.

r = [tex]\frac{12}{2}[/tex] = 6

Area = π × 6²

Area = π × 36

Area = 113.09 = 113 [ to the nearest whole number ]

Answer:

fourteen thousand six hundred and eighty nine

Step-by-step explanation:

1 is in the ten thousand group, four is in the thousands, six is in the hundreds, eight is in the tens, nine is in the ones. i hope this helped :)

Answer:

Fourteen-thousand and six-hundred eighty nine.

Answer:

226.19 in.

Step-by-step explanation:

circumference = πd

circumference = 3.14159 × 12 in.

circumference = 37.70 in.

In one revolution of the wheel, the unicycle travels a distance equal to the circumference of the wheel, or 37.70 in.

In 6 revolutions, the unicycle travels 6 times the circumference of the wheel.

6 × circumference = 6 × 37.70 in. = 226.19 in.

Answer: 226.19 in.

The required unit multipliers that should be used to change feet to inches is: 12 in/1 ft

Unit multipliers are used to convert one unit of measurement to another by the multiplication of the measure we're converting by a unit multiplier that cancels out the other units, retaining only the preferred choice or desired answer.

From the given information:

However, it is important to note that when using unit multipliers, the name of the measure in the numerator should be the same as the name of the unit in the desired answer.

The term used to multiply by when converting measures should always be less than the given measure.

The cord of wood can be determined by multiplying the length, depth and height of the wood together, then dividing the answer but 128.

Thus, the cord of the wood = (4 ft × 4 ft × 16 ft)/128

The cord of the wood = 2 cords.

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The denominator would be x = -3.

Option (A) is correct.

What is the denominator?

A denominator is a bottom number in a fraction. It represents the divisor or the number by which the numerator is being divided.

In this case, the denominator is x^2+6x+9. To find the values of x for which the denominator is equal to zero, we need to set the denominator equal to 0 and solve for x. The equation would be x^2+6x+9=0. By factorizing the denominator we get (x+3)^2=0.

x + 3 = 0

x = -3

Hence, the denominator would be x = -3.

Option (A) is correct.

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Using the combination formula, it is found that there are 3300 ways to choose the songs.

The order in which the musics are chosen is not important, hence the combination formula is used to solve this question.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

For the rock songs, we have three from a set of eleven, hence:

[tex]C_{11,3} = \frac{11!}{3!8!} = 165[/tex]

For the alternative songs, we have four from a set of five, hence:

[tex]C_{5,4} = \frac{5!}{4!1!} = 5[/tex]

For the rap songs, we have three from a set of four, hence:

[tex]C_{4,3} = \frac{4!}{3!1!} = 4[/tex]

Since the songs are independent, the total number of ways is given by:

[tex]T = 165 \times 5 \times 4 = 3300[/tex]

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Answer:

The equation is written in slope-intercept (y = mx + b) form. Therefore, the '4' represents the slope of the line, and the '-1' represents the y-intercept.

By finding and solving a system of equations, we will see that after 2 hours they will drink the same amount of water.

For Elise, the number of cups consumed after the 10:00 am is:

y = 2*x + 4

Where x is the number of hours after 10:00 am.

For Jacob, the number is:

J = 3*x + 2

Then the system of equations is:

y = 2x + 4

y = 3x + 2

To solve it, we use the fact that the variable y is already isolated in both equations, so we can write:

2x + 4 = y = 3x + 2

2x + 4 = 3x + 2

Solving for x we get:

4 - 2 = 3x - 2x

2 = x

After 2 hours, Elise and Jacob drink the same amount of water.

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Answer:

8

Step-by-step explanation:

[tex]\hookrightarrow 18 - [5 + 1 + (4 - 2 + 2)]\\\\\hookrightarrow 18-[5+1+(6-2)]\\\\\hookrightarrow 18-[5+1+4]\\\\\hookrightarrow 18-10\\\\\hookrightarrow 8[/tex]

To find area of square one :-

Given :

To find :

We know :

Area of square = side²

Therefore:-

→Area of square = 9²

→Area of square = 9 × 9

→Area of square = 81 (unit)²

To find area of square two :-

Given :

To find :

We know :

Area of square = side²

Therefore:-

→Area of square = 11²

→Area of square = 11 × 11

→Area of square = 121 (unit)²

Now it's clearly visible that the whole figure is also. a square .

Therefore AE = CP

Which means area of square three = 81 (unit)²

Now area of shaded figure :-

Answer:

  A.  coterminal angle = 4π/3

  B.  sin(θ) = -√3/2; csc(θ) = -2√3/3; cos(θ) = -1/2;

       sec(θ) = -2; tan(θ) = √3; cot(θ) = √3/3

Step-by-step explanation:

Any angle that is a multiple of 2π added to the given angle will be coterminal. You want one in the range [0, 2π], so we need to add 4π to the given angle

  coterminal angle = -8π/3 +4π = -8π/3 +12π/3

  coterminal angle = 4π/3

__

The reference angle is 4π/3 -π = π/3. θ is a quadrant III angle, so both the sine and cosine are negative.

  sin(θ) = -√3/2 . . . csc(θ) = -2√3/3

  cos(θ) = -1/2 . . . sec(θ) = -2

  tan(θ) = √3 . . . cot(θ) = √3/3

Answer:

The Sample space

Step-by-step explanation:

The collection of all equally likely outcomes is known as the- the sample space.

Answer

90

Step-by-step explanation

600 divided by 100

600 / 100 (5+10)

Answer:

Step-by-step explanation:

y=11/13x−3

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Answer:

12

Step-by-step explanation:

Its interior angle has measure 150∘. Therefore, the exterior angle has measure 180∘−150∘=30∘. Therefore, the number of sides of the regular polygon with interior angle 150∘ is 12.

it's a cubic function

The given function f(x) = 2x³ – 4x² + 5 is a cubic function.

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

A cubic polynomial is a sort of polynomial that is based on the variable's largest exponent, or degree, in mathematical terms. As a result, a cubic polynomial is one in which the degree or maximum power of the variable is 3.

It is observed that the given function is a cubic function as its highest power of the variable is three.

Therefore, the given function f(x) = 2x³ – 4x² + 5 is a cubic function.

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It's a trapezoid

Now

Area:-

Answer:

12

Step-by-step explanation:

The answer is 12 because if 1/3 of the log is buried then 2/3 of the log is 8 meters. 8 divided by 2 is 4 so you know that 1/3 of the log is 4 meters. Then you just multiply 4 times 3 or add 4 and 8.

Answer:

12 meters

Step-by-step explanation:

see image. If 1/3 log is buried, then 2/3 (the rest of it) log is above ground. If 8meters of log is 2/3 of the log, that is 8 meters is 2 parts, then each part is 4 meters.

2 parts (thirds!) above ground:

8 meters

1 part (one-third) below ground:

4 meters

Total is 8 + 4 =12

or 3×4 = 12

The whole log is 12 meters.