For every ton of paper that is recycled, 17 trees are saved. Discrete or continuous?

Answers

Answer 1

Answer: Continuous I think :/ I am pretty sure like 93% sure

Answer 2

Answer: I believe it is continuous, so yeah, that guy is right

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1.) Simplify(2a^2b^4z)(6a^3b^2z^5)
Solve log(2x+3) = 3
Jane arranges m chairs in each of n rows to seat x people.The formula to find the number of chairs in each row is m = _____________________ If 60 people attend the meeting and each row has 4 chairs, there are _______________________________________ rows.

Which of the following expressions are equivalent to4x - 6+ 8x + 2?
Select all that apply.
A
12x - 4
B 4(3x - 1)
C -2x + 10
D
2r - 8

Answers

ANSWER : Both A and B are correct....

PLEASE MARK ME AS BRAINLIEST....

Circle d has a radius of 21 millimeters and central angle, ∠edf, which measures 60°. find the exact length of . mm 7mm 14mm 42mm

Answers

the length of an arc length can be calculated using the formula:
s = ra
where s is the lenght of the arc
and r is the radius of the circle
a is the central angle in radians

first converts degrees to radians
a = 60 ( pi / 180)
a = pi /3 =1.05

s = 21(1.05)
s = 22 mm is the length of the arc

Answer:

7π mm

Have a good day!

Convert 20% into a decimal

Answers

It would be 20/100 = 0.20

So, your answer is 0.20

Xsquared + 3x - 5 solved using the quadratic formula

Answers

$x^2+3x-5=0\na=1;\ b=3;\ c=-5\n\n x=(-b^+_-√(b^2-4ac))/(2a)\n\nx=(-3+√(3^2-4\cdot1\cdot(-5)))/(2\cdot1)\quad\vee\quad x=(-3-√(3^2-4\cdot1\cdot(-5)))/(2)\n\nx=(-3+√(9+20))/(2)\quad\vee\quad x=(-3-√(9+20))/(2)\n\nx=(-3+√(29))/(2)\quad\vee\quad x=(-3-√(29))/(2) \n\nx\approx1.19\quad\vee\quad x\approx-4.19$

Refer to the figure and find the volume V generated by rotating the given region about the specified line.R3 about AB

Answers

Answer:

Hence, volume is: $(34\pi)/(45)$ cubic units.

Step-by-step explanation:

We will first express our our equation of the curve and the line bounded by the region in terms of the variable y.

i.e. the curve is re $x=(1)/(16)y^4$

and the line is given as: $x=(1)/(2)y$

Since after rotating the given region $R_(3)$ about the line AB.

we see that for the following graph

the axis is located at x=1.

and the outer radius(R) is: $(1)/(16)y^4$

and the inner radius(r) is: $(1)/(2)y$

Now, the area of the graph= area of the disc.

Area of graph= $\pi(R^2-r^2)$

Now the volume is given as:

$Volume=\int\limits^2_0 {Area} \, dy$

On calculating we get:

Volume= $(34\pi)/(45)$ cubic units.

The volume V generated by rotating the given region about the specified line R3 about AB is $\boxed{\frac{{34\pi }}{{45}}{\text{ uni}}{{\text{t}}^3}}.$

Further explanation:

Given:

The coordinates of point A is $\left( {1,0} \right).$

The coordinates of point B is $\left( {1,2} \right).$

The coordinate of point C is $\left( {0,2} \right).$

The value of y is $y = 2\sqrt[4]{x}.$

Explanation:

The equation of the curve is $y = 2\sqrt[4]{x}.$

Solve the above equation to obtain the value of x in terms of y.

$\begin{aligned}{\left( y \right)^4}&={\left( {2\sqrt[4]{x}} \right)^4} \n{y^4}&=16x\n\frac{1}{{16}}{y^4}&= x\n\end{aligned}$

The equation of the line is $x = (1)/(2)y.$

After rotating the region ${R_3}$ is about the line AB.

From the graph the inner radius is ${{r_2} = (1)/(2)y$ and the outer radius is ${{r_1}=\frac{1}{{16}}{y^4}.$

${\text{Area of graph}}=\pi\left( {{r_1}^2 - {r_2}^2} \right)$

$Area = \pi\left( {{{\left({\frac{1}{{16}}{y^4}} \right)}^2} - {{\left({(1)/(2)y} \right)}^2}}\right)$

The volume can be obtained as follows,

$\begin{aligned}{\text{Volume}}&=\int\limits_0^2 {Area{\text{ }}dy}\n&=\int\limits_0^2{\pi \left( {{{\left({\frac{1}{{16}}{y^4}} \right)}^2} - {{\left( {(1)/(2)y} \right)}^2}} \right){\text{ }}dy}\n&= \pi \int\limits_0^2 {\left( {\frac{1}{{256}}{y^8} - (1)/(4){y^2}} \right){\text{ }}dy}\n\end{aligned}$

Further solve the above equation.

$\begin{aligned}{\text{Volume}}&=\pi \left[ {\int\limits_0^2 {\frac{1}{{256}}{y^8}dy - } \int\limits_0^2{(1)/(4){y^2}{\text{ }}dy} } \right]\n&= \frac{{34\pi }}{{45}}\n\end{aligned}$

The volume V generated by rotating the given region about the specified line R3 about AB is $\boxed{\frac{{34\pi }}{{45}}{\text{ uni}}{{\text{t}}^3}}.$

Learn more:

1. Learn more about inverse of the functionbrainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Volume of the curves

Keywords: area, volume of the region, rotating, generated, specified line, R3, AB, rotating region.

If an object is dropped from a height of 200 feet, the function h(t)=-16t^2=200 gives the height of the object after t seconds. Approximately, when will the object hit the ground? (1point)A.200.00 seconds
B.184.00 seconds
C.3.54 seconds
D.0.78 seconds

Answers

Hello,
Answer C
h(t)=0=-16t²+200==>t=3.53533...(s)

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