Which of the following rational functions is graphed below?

Step-by-step explanation:

the volume of a cylinder is

base area × height = pi×r² × height

with r being the radius.

so, we get

pi×6² × 10 = pi×36 + 10 = 360pi =

= 1,130.973355... ft³

now we need to look at the conversion rate between feet and meters :

1 ft = 0.3048 m

1 ft² = 0.3048² m² = 0.09290304 m²

1 f³ = 0.3048³ m³ = 0.028316847... m³

1,130.973355... ft³ = 1,130.973355... × 0.028316847... =

= 32.025599... m³

so, something is not right with your answer options. it looks like you put maybe the answer options of a different question in here.

but none of them get even close to the actual solution of the given question.

Answer:

Option 4

Step-by-step explanation:

Answer:

266.9 feet

thats the answer

sana makatulong poww huhu

The statement which median describe about Grace's data set is 2 is the middle number when the number of pets in the data set is arranged from least to greatest.

The median of the data is the middle value of the data set when it arrange in ascending or descending order.

Grace collected data from twenty of her friends about the number of pets they have.  The median number of pets is two.

Median=2

By the definition of median of data set, the median two tells that the middle value of the pet is 2 when arranged in high to low point.

Thus, the statement which median describe about Grace's data set is 2 is the middle number when the number of pets in data set is arranged from least to greatest.

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Answer:

x = 16

Step-by-step explanation:

sec(60) = 32 /x

2 = 32/x

x2 =32

x = 16

Answer:

the measurement of the angle A is 39.17°

Answer:

the 4th box is divided by 2. sorry but don't know the others

Step-by-step explanation:

Answer:

4.4 inches

Step-by-step explanation:

Here, we are interested in calculating the value of x.

Mathematically, a line that comes from the center of the circle and extends to a chord, divides the chord into two equal parts.

This means what we have is a right angled triangle with the radius being the hypotenuse, the half of the length of the chord as the other side of the triangle.

3.7 is half the length of the chord i.e 7.4/2

Thus;

using Pythagoras’ theorem

x^2 = 2.4^2 + 3.7^2

Pythagoras’ posited that the square of the hypotenuse is equal to the sum of the squares of the other two sides of the triangle.

Thus;

x^2 =5.76 + 13.69

x^2 = 19.45

x = √(19.45)

x = 4.41 inches which is 4.4 inches to the nearest tenth

Answer:

Central angle = 31 / 4 radians

=

Length of the arc = (3 1 / 4) (radius) = 45 in

=

=> radius = 45 in * 4 / (31) = 45 * 4 / (3 * 3.14) in

=

radius = 19.1 in

=

Answer: 19.1 in

Step-by-step explanation:

Correct me if I'm wrong

Answer:

length ≈ 0.599 feet

Step-by-step explanation:

volume = length³

0.215ft³ = length³

cube root both sides to isolate the length

∛(0.215ft³) = length

length ≈ 0.599 feet

The number of students that are more likely to select oranges rather than bananas their favorite fruit from the next 45 is; 3.

It follows from the task content that the number of students surveyed initially is 150 and only, 30 -20 = 10 students preferred orange to bananas.

On this note, it follows that the number of students who prefer oranges rather than bananas from the next 45 is; = (45 × 10)/150 = 3.

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Let's see

[tex]\\ \rm\Rrightarrow \dfrac{sin^2x+cos^x}{sinx}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1}{sinx}[/tex]

[tex]\\ \rm\Rrightarrow cosecx[/tex]

Answer:

cosec x

(or csc x)

Step-by-step explanation:

Trig Identities

[tex]\sf \sin^2 x + \cos^2 x=1[/tex]

[tex]\sf \dfrac{1}{\sin x}=cosec\: x[/tex]

Therefore,

[tex]\begin{aligned}\implies \sf \dfrac{\sin^2x + \cos^2x}{\sin x} &= \sf\dfrac{1}{\sin x}\\\\ & = \sf cosec\:x \end{aligned}[/tex]

Answer:

4 14/27

Step-by-step explanation:

The first five terms

6

-6/3

6/9

-6/27

+6/81

The first thing to do is change all the fractions denominators to 81.

Sum = 6*81/81 - 6(27)/81 + 6*9/81 - 6*3/81 + 6/81

Now add

Sum = 366/81

Sum = 4 14/27

Sum = 4.5185

Note the first term. It has been multiplied by 6*81/81. The 81 over 81 does not change the value of anything 6 * 81/81 is still 6. It just makes it easier to combine with the other members of the series.

Using it's concept, it is found that the state with greater population density is Illinois.

Population density is the number of habitants divided by the area.

Considering the data given, for Illinois, the density is given by:

Di = 12,801,539/55,519 = 230.58 habitants per square mile.

For Texas, the density is given by:

Dt = 27,862,596/261,232 = 106.66 habitans per square mile.

Di > Dt, hence the state with greater population density is Illinois.

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Answer:

(3x + 2)(-x^3 - 3) =

3x(-x^3 - 3) + 2(-x^3 - 3) =

-3x^4 - 2x^3 - 9x - 6 <== result of multiplying (3x+2)(-x^3-3)

now multiply that by (3+x)...

(3+x)(-3x^4 - 2x^3 - 9x - 6) =

3(-3x^4 - 2x^3 - 9x - 6) + x(-3x^4 - 2x^3 - 9x - 6) =

-9x^4 -6x^3 - 27x - 18 - 3x^5 - 2x^4 - 9x^2 - 6x =

-3x^5 - 11x^4 - 6x^3 - 9x^2 - 33x - 18 <== result of multiplying by (3 + x)

the coefficient of x^4 = -11 <==

Step-by-step explanation:

Answer:

(3x + 2)(-x^3 - 3) =

3x(-x^3 - 3) + 2(-x^3 - 3) =

-3x^4 - 2x^3 - 9x - 6 <== result of multiplying (3x+2)(-x^3-3)

now multiply that by (3+x)...

(3+x)(-3x^4 - 2x^3 - 9x - 6) =

3(-3x^4 - 2x^3 - 9x - 6) + x(-3x^4 - 2x^3 - 9x - 6) =

-9x^4 -6x^3 - 27x - 18 - 3x^5 - 2x^4 - 9x^2 - 6x =

-3x^5 - 11x^4 - 6x^3 - 9x^2 - 33x - 18 <== result of multiplying by (3 + x)

the coefficient of x^4 = -11 <==

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

By the property intersecting chords:

x(16) = (10)(8)

-> x (16) = 80

-> x = 80/16

-> x = 5

Step-by-step explanation:

here you go hope it helps

Answer:

a = 9

b = 9√3

Step-by-step explanation:

Answer:

23456789-123456789

Step-by-step explanation:

es la cuadricula

Check the picture below.

[tex]\textit{area of a circular ring}\\\\ A=\pi (R^2-r^2)~~ \begin{cases} r=\stackrel{smaller}{radius}\\ R=\stackrel{larger}{radius}\\[-0.5em] \hrulefill\\ r=2\\ R=3 \end{cases}\implies \begin{array}{llll} A=\pi (3^2-2^2)\implies A=5\pi \\\\\\ A\approx 15.71 \end{array}[/tex]

Answer:

I got 58.5

I multiplied 3x9 to get 27

then 3x6 to get 18

then 3x9/2 to get 13.5 and added them all together.

Answer:

just start at like 220 i am pretty sure

Step-by-step explanation:

Answer:

The price of candies in cents per ounce is 20 cents per ounce.

Step-by-step explanation:

960 cents/(48 oz) = 20 cents/oz

The equation to represent the orbit of Pluto around the Sun will be x²/4659.42 + y²/4566.31 = 1.

The distance from the center of the elliptical orbit to the sun is 897.5 million miles. The aphelion will be:

= 5448.5 + 897.5

= 6346 million miles

The equation of ellipse will be:

x²/a² + y²/b² = 1

x²/4659.42 + y²/4566.31 = 1

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Answer:

3000 square inches.

Step-by-step explanation:

First, scale this one up. Multiply each by 2. consider area of a trapezoid. A = 1/2 (b1 + b2) h. This will be 1/2 (20 + 30) * 20, so you'll get 500 square in. Then, multiply by 6 since Buffy is making 6 of them. 500 * 6 = 3000 square inches.

Answer:

30

Step-by-step explanation:

since we are looking for the area of a right triangle you want to use the legs of the triangle. Basically 5x12 over 2= 30, I think I am correct if not I apologize/

Answer:

the answer is 78

Step-by-step explanation:

12x 5= 60

60x13=180

180+600=780

the answer equals up to 78

Answer:

x = 7.5 units

Step-by-step explanation:

10   *   .75    = 7.5

Answer:

[tex](x-3)^2 =21[/tex]

Step-by-step explanation:

[tex]~~~~~~~x^2-6x-12=0\\\\\implies x^2 -6x +9-21=0 \\\\\implies x^2 -2\cdot x \cdot 3 +3^2=21\\\\\implies (x-3)^2 =21[/tex]

Answer:

$6954.02.

Step-by-step explanation:

The formula is

A = P(1 + 0.05/n)^2n   where A is the amount compounded, P = initial investment and n is the number of years.

A = 6300(1 + (0.05)/2)"(2*2

=  6954.02

The x intercept is lies at the midpoint of (-6 and -4

so

And it's translation of logx

translated equation

Now the vertical asymptote is at

Option A

Answer:

The x‐intercept is x = −5, and the graph approaches a vertical asymptote at x = −6

Step-by-step explanation:

From inspection of the graph:

x-intercept is where the curve intercepts the x-axis → x = -5

y-intercept is where the curve intercepts the y-axis → y ≈ 0.75

An asymptote is a horizontal or vertical line which the curve gets infinitely close to, but never touches.

From the portion of the curve in the graph, it appears that the curve gets very close to but never touches:

(However, without seeing a large portion of the graph, we cannot be sure, particularly for the horizontal asymptote).

Therefore, from the given solution options:

The x‐intercept is x = −5, and the graph approaches a vertical asymptote at x = −6

The graph which correctly shows the point A as the sum of the complex numbers z₁ and z₂ is graph number 4.

A complex number is the combination of real and imaginary number. In a complex number, real part and imaginary part of the number are written together. For example,

a+bi

Here, (a) is the real part while (b) is the imaginary part.

To add the two complex number on the graph, the addition as transition method is used.

In this one complex number is translated to the tip of the other graph. The resultant of addition is equal to the distance between them.

On the graph 4, the transition method of addition is applied.Thus, the graph which correctly shows the point A as the sum of the complex numbers z₁ and z₂ is graph number 4.

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