Part B Find the height of a cylinder with a volume of 36 pie cm^3 and a base with a radius of 3 cm. h = ???cm

Answer:

100 POINTS PLEASE HELP FOR ALL QUESTIONS WILL REPORT IF YOU JUST TAKE THE POINTS AND NOT ANSWER THE QUESTION

Step-by-step explanation:

Answer:

400 square feet

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

6x -8y = - 16y

6x = -8y

8y = 17x + 4

-8y = -17x - 4

6x = -17x - 4

23x = -4

x = -4/23

The demand function for a specific line of sunglasses is determined by a sunglass manufacturer as p = 50- (1/4,000) x and the number of sunglasses produced to maximize profit is 94,000 sunglasses.

Profit is the difference between an economic entity's revenue from outputs and the sum of its input costs. Total income minus total expenses, including both direct and indirect expenses, equals total cost.

Then, the profit for the given data is,

\(\begin{aligned}\text{Profit}&=\text{Revenue - Cost}\\&=\left(50 - \frac{1}{4,000}x \right)x - (25,000 + 3x)\\&= 50x - \frac{1}{4,000} x^2 - 25,000 - 3x\\&= - \left(\frac{1}{4,000} \right)x^2 + 47x - 25,000\end{aligned}\)

Finding the value of x that satisfies this expression will help us maximize profit. We can achieve this by taking the derivative of the profit function and setting it to zero. Then, solve for x.

\(\begin{aligned}\frac{d\text{Profit}}{dx}&= -\left(\frac{1}{2,000}\right)x + 47 \\0&= -\left(\frac{1}{2,000}\right)x + 47 \\\frac{1}{2000}x&=47\\x&=94,000\end{aligned}\)

The required answer is 94,000 sunglasses and the correct option is option C.

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Using the general formula to get unit vectors in the same direction as a vector V:

v = V/|V|

We will get the unit vector:

v = (−6i + 2j − k)/√41

Here we want to find a versor (also called a unit vector) that has the same direction as the vector:

V = −6i + 2j − k

The general way to find a unit vector, let's call it v, for a given vector V, is:

v = V/|V|

Where |V| is the magnitude of the vector.

In this case, the magnitude will be:

|V| = √( (-6)^2 + 2^2 + (-1)^2) = √( 36 + 4 + 1) = √41

Then the unit vector that has the same direction as the given vector is:

v = (−6i + 2j − k)/√41

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Answer: 1

Step-by-step explanation:

The dimensions of the room are approximately 7 meters by 10.5 meters.

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.

Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.

The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:

\(\text{Perimeter} = 2(\text{length} + \text{width})\)

Substituting the values we have for length and width, we get:

\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)

Simplifying the equation, we get:

\(\rightarrow35 = 2(2.5\text{x})\)

\(\rightarrow35 = 5\text{x}\)

\(\rightarrow\text{x}=\dfrac{35}{5}\)

\(\rightarrow\bold{x\thickapprox7}\)

So the width of the room is 7 meters.

To find the length, we can substitute x into the expression we have for the length:

\(\rightarrow\text{Length} = 1.5\text{x}\)

\(\rightarrow\text{Length} = 1.5(7)\)

\(\rightarrow\bold{Length=10.5}\)

So the length of the room is 10.5 meters.

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To prove that there is a unique element x such that p(x) is true, the predicate logic statement says that there is at least one element x such that P(x) is true and for every element y such that y is not identical to x, P(y) is false.

The predicate logic statement says that there is at least one element x such that P(x) is true and for every element y such that P(y) is true, x is identical to y. This is exactly the meaning of there being a unique element x such that P(x) is true.

Here, there is at least one element x such that P(x) is true. This is exactly that meaning of there being a unique element x such that P(x) is true.

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Answer:

Negative correlation

Step-by-step explanation:

Answer: D. 30.48 miles

Step-by-step explanation:

You basically use Pythagorean Theorem!

a2 + b2 = c2

Square root 20^2 +23^2

=√20^2 + 23^2

=20 x 2 + 23 x 2

= 929

And round it=

30.48 miles.

Answer: $35x 12= $420 so that's for the remaining 12 months. $420+ 75=$495. The next step is to multiply $25 and 6. $25x6= $150.

$495+$150= $645 per month.

Step-by-step explanation:

The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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Answer:

C

Step-by-step explanation:

Answer:

A x√2/2

hope it helps and your day will be full of happiness

Answer:

A:B= 1:3

let A=1x,B=3x

A+B = x+3x

x+3x = 40

4x = 40

x=10

A=1(10)=10

B=3(10)=30

Step-by-step explanation:

Dont really know how to explain it well

The multiplication 3/4×8/9 can be used to address the problem in response (B). which is the correct answer that would be an option (B).

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

As per option (B),

Jada rode her bike for 3/4 mile. Sarah rode her bike 8/9 the distance that Jada rode her bike.

Sarah rides her bike = Sarah rode (8/9) of the (3/4) that Jada rode.

Sarah rides her bike = 3/4 × 8/9

Therefore, this problem can be solved by performing the above multiplication.

Hence, the correct answer would be an option (B).

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Answer:

Original Coordinates New Coordinates

(x, y)                               (x ,y )

P(6 , -4)                            P′(3 ,2 )

Q(2 ,-2 )                            Q′(1 ,1 )

R(2 ,-6 )                             R′(1 ,3 )

S(6 ,-6 )                             S′( 3,3 )

b) There are 12 payments per year for 22 years; multiply 12 by 22 to get the total number of payments:

To find the total amount paid, multiply the number of payments by the payment amount:

c) Toward principal: $67,000

Toward interest: subtract the principal from the payment amount:

Let 91,608 be the 100%, use a rule of three to find the % corresponding to the principal and interest:

Kevin's error is that he incorrectly identified the vertex of the parabola as (3, 2) instead of (2, 3), which resulted to the parabola opens downward. The correct vertex is at (2, 3) and the parabola opens upward.

You are correct that the vertex of the parabola can be determined using the equation f(x) = a(x - h)² + k, where the vertex is at (h, k). In this case, we have f(x) = -(x-2)² + 3, so the vertex can be found by setting x - 2 = 0, which gives x = 2. Plugging this value into the equation,

we get f(2) = -(2-2)² + 3 = 3, so the vertex is at (2, 3).

However, your reasoning for why h is positive is not correct. The expression x - h represents the horizontal distance from the vertex to any point on the parabola. So if x is greater than h, then the expression x - h will be positive, and if x is less than h, then the expression x - h will be negative. In this case, the vertex is at (2, 3), so we have h = 2. This means that any point to the right of the vertex will have a positive value of x - h, while any point to the left of the vertex will have a negative value of x - h.

Therefore, the correct explanation of Kevin's error is that he incorrectly identified the vertex as (3, 2) instead of (2, 3), and as a result, he also incorrectly concluded that the parabola opens downward. In fact, the parabola opens upward because the coefficient of the x² term, -1, is negative.

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The resultant answer of the given expression (3t/t⁵)⁻⁵ is t²⁰/243.

So, solve the expression as follows: (3t/t^5)^-5

Apply exponent rule:

Simplify as shown:

Apply function rule:

Therefore, the resultant answer of the given expression (3t/t⁵)⁻⁵ is t²⁰/243.

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Answer:

m = -3 ; c = 1

Step-by-step explanation:

y = -3x + 1

y = mx + c

m = -3

c = 1

Given:

Mean (μ) = 70

Standard deviation (σ) = 5

z-score = 2.33

To find:

The X-value.

Solution:

We know that,

\(z=\dfrac{X-\mu}{\sigma}\)

On substituting the values, we get

\(2.33=\dfrac{X-70}{5}\)

Multiply both sides by 5.

\(2.33\times 5=X-70\)

\(11.65=X-70\)

Add 70 on both sides.

\(11.65+70=X\)

\(81.65=X\)

Therefore, the required X-value is 81.65.

Answer:

x value is 81.65.

Step-by-step explanation:

Given:

Using the z-score formula:

z = (x - mean) / SD

Plug the values:

\(2.33=\frac{x-70}{5}\\x=5\left(2.33\right)+70\\x=81.65\)

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Step-by-step explanation:

The RADIUS of the white circle is 6 mm  (because diameter is 12mm)

    area of white circle = pi r^2 = pi(6^2) = 113.097 mm^2

The SEMI circle area is   radius 12 mm  

    area is 1/2 of an entire circle of radius 12 mm = 1/2  * pi r^2 =

                    1/2   * pi * 12^2 = 226.19 mm^2

  subtract the white circle area   to get shaded area = 113 mm^2

Answer:

\(a=113mm^{2}\)

Step-by-step explanation:

shaded area = Semicircle Area - Area of the Inside Circle

1. Area of the Inside Circle:

\(d=24/2=12mm\\r=12/2=6mm\)

\(a=\pi r^{2} =\pi (6)^{2} =36\pi\)

2. Semicircle area:

\(r=24/2=12mm\)

\(a=\frac{\pi r^{2} }{2}=\frac{\pi (12)^{2} }{2} =\frac{144\pi }{2} =72\pi\)

3. Shaded area:

\(a=(72-36)\pi =36\pi\)

\(36\pi\) ≈ \(113.097\)

3 significant figures: 113 mm2

Hope this helps

When a story spoiler gives away the ending early, it diminishes the suspense and hurt enjoyment in the story.

It should be noted that suspense simply means an uneasy feeling that's gotten by a reader when they didn't know what will happen next in a story.

In this case, when a story spoiler gives away the ending early, it diminishes the suspense and hurt enjoyment in the story.

A writer simply creates suspense by the release it information to the readers which raises key questions.

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Answer:

me too (help)

Step-by-step explanation:

Answer:

Step-by-step explanation:

+3

:3

I also believe the equation is -4sinx+3

Check the picture below.

Answer:

x=50

Step-by-step explanation:

1. equal the equations to each other: 2(x+10)=3x-30

2. distribute the 2 to x+10: 2x+20=3x-30

3. subtract 2x from both sides, and add 30 to both sides: x=50

The number of selfies deleted by Alex is 52.5.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Last week, Alex took 90 selfies and Vic took 75 selfies. Today, they each decided that some of these selfies were not very good and deleted them. Alex deleted three times as many selfies as Vic.

Alex= 90

Vic = 75

Deleted ( Alex = 3 Vic )

Alex = 1 / 2 Vic

Deleted selfies = 90 - 75 /2 = 52.5

Hence, the number of selfies deleted by Alex is 52.5.

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At the value of x= -0.366, the graphs of f and g have parallel tangents.

A tangent in geometry is a line that originates at an outside point and travels through a curve's center.

Given,

two functions,  f(x) = 2\(e^{3x}\) and g(x) = 5x³.

To find the value of parallel tangents:

First, we find the first derivative.

That means,

f'(x) = 2\(e^{3x}\) (3) and  g'(x) = 15x²

Graphs of f and g have the parallel tangents.

That means, their slopes are same.

f'(x) = 2\(e^{3x}\) (3) = g'(x) = 15x²

6\(e^{3x}\)  = 15x²

2\(e^{3x}\)  = 5x²

2\(e^{3x}\)  - 5x² = 0

the value of x = -0.366

See in the attached image.

Therefore, the graphs of f and g have parallel tangents  at the value of x= -0.366.

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Answer:

$11.44

Step-by-step explanation:

Since half a pound of fudge costs $5.72, then you just have to multiply by 2

5.72 x 2 = 11.44

So one pound of fudge costs $11.44

Hope this helps :)

Answer:

I think it's $1.39 per ounce.

Step-by-step explanation: