Juan read 300 pages in 5 days which reading rate is equivalent. A.150 pages in 3 days. B.120 pages in 2 days. C.105 pages in 1 day D.100 pages in 3 days

Answer:

The rate of change of the height is 0.021 meters per minute

Step-by-step explanation:

From the formula

[tex]V = \frac{1}{3}\pi r^{2}h[/tex]

Differentiate the equation with respect to time t, such that

[tex]\frac{d}{dt} (V) = \frac{d}{dt} (\frac{1}{3}\pi r^{2}h)[/tex]

[tex]\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (r^{2}h)[/tex]

To differentiate the product,

Let r² = u, so that

[tex]\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (uh)[/tex]

Then, using product rule

[tex]\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h\frac{du}{dt}][/tex]

Since [tex]u = r^{2}[/tex]

Then, [tex]\frac{du}{dr} = 2r[/tex]

Using the Chain's rule

[tex]\frac{du}{dt} = \frac{du}{dr} \times \frac{dr}{dt}[/tex]

∴ [tex]\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h(\frac{du}{dr} \times \frac{dr}{dt})][/tex]

Then,

[tex]\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}][/tex]

Now,

From the question

[tex]\frac{dr}{dt} = 7 m/min[/tex]

[tex]\frac{dV}{dt} = 236 m^{3}/min[/tex]

At the instant when [tex]r = 99 m[/tex]

and [tex]V = 180 m^{3}[/tex]

We will determine the value of h, using

[tex]V = \frac{1}{3}\pi r^{2}h[/tex]

[tex]180 = \frac{1}{3}\pi (99)^{2}h[/tex]

[tex]180 \times 3 = 9801\pi h[/tex]

[tex]h =\frac{540}{9801\pi }[/tex]

[tex]h =\frac{20}{363\pi }[/tex]

Now, Putting the parameters into the equation

[tex]\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}][/tex]

[tex]236 = \frac{1}{3}\pi [(99)^{2} \frac{dh}{dt} + (\frac{20}{363\pi }) (2(99)) (7)][/tex]

[tex]236 \times 3 = \pi [9801 \frac{dh}{dt} + (\frac{20}{363\pi }) 1386][/tex]

[tex]708 = 9801\pi \frac{dh}{dt} + \frac{27720}{363}[/tex]

[tex]708 = 30790.75 \frac{dh}{dt} + 76.36[/tex]

[tex]708 - 76.36 = 30790.75\frac{dh}{dt}[/tex]

[tex]631.64 = 30790.75\frac{dh}{dt}[/tex]

[tex]\frac{dh}{dt}= \frac{631.64}{30790.75}[/tex]

[tex]\frac{dh}{dt} = 0.021 m/min[/tex]

Hence, the rate of change of the height is 0.021 meters per minute.

Answer:

X= -4

Step-by-step explanation:

Hello. For to solve that, you need to use the sustitution method:

1. You need clear X in the first equation and put in the second

X+Y = -10

X = -10-Y

2.  Y = X-2, then you replaced the X in this equation:

Y = (-10-Y) - 2

Y+2=-10-Y

2Y=-10-2

2Y= -12

Y= -12/2

Y=-6

3. Now you use the Y value for to solve X:

X=-10-Y, then

X =- 10-(-6)

X = -4

Answer:

A rational expression that has the nonpermissible values [tex]x = 0[/tex] and [tex]x = 17[/tex] is [tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex].

Step-by-step explanation:

A rational expression has a nonpermissible value when for a given value of [tex]x[/tex], the denominator is equal to zero. In addition, we assume that both numerator and denominator are represented by polynomials, such that:

[tex]f(x) = \frac{p(x)}{q(x)}[/tex] (1)

Then, the factorized form of [tex]q(x)[/tex] must be:

[tex]q(x) = x\cdot (x-17)[/tex] (2)

If we know that [tex]p(x) = 4[/tex], then the rational expression is:

[tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex] (3)

A rational expression that has the nonpermissible values [tex]x = 0[/tex] and [tex]x = 17[/tex] is [tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex].

Answer:  [tex](-\infty, -4][/tex]

Curved parenthesis at negative infinity

Square bracket at -4

====================================================

Work Shown:

[tex]5(x+4) \le 0 \\\\x+4 \le \frac{0}{5} \\\\x+4 \le 0 \\\\x \le 0-4 \\\\x \le -4 \\\\[/tex]

The last inequality shown above is the same as saying [tex]-\infty < x \le -4[/tex]

Converting this to interval notation leads to the final answer of [tex](-\infty , -4][/tex]

Note the use of a square bracket at -4 to include this endpoint. We can never include either infinity, so we always use a parenthesis for either infinity.

Answer:

What is your question?

Step-by-step explanation:

Answer:

x=81.2

Step-by-step explanation:

Answer: ight bet

i/yes

ii/no

iii/no

iv/no

v/no

vi/no

Step-by-step explanation:

Answer:c

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

[tex]x \degree = 180 \degree - (90 \degree + 42\degree) \\ \\ x \degree = 180 \degree - 132\degree\\ \\ x \degree = 48\degree \\ \\ x = 48[/tex]

Answer:

A (SSS)

Step-by-step explanation:

The triangles are congruent by postulate side side side

Answer: n+(n+6)=24,where n is the number of blue marbles. 3. n+6n=24,where n is the number of blue marbles.

Step-by-step explanation:

Answer:

-7.333

Step-by-step explanation:

Answer:

-7 1/3

Step-by-step explanation:

Answer:

A is a function

Step-by-step explanation:

Hope the image helps.

Answer:

ytjyhyjhuyjhytujhyuhjnfh

Step-by-step explanation:

Answer:

Question 1:

The angles are presented here using Autocad desktop application

The two column proof is given as follows;

Statement                   [tex]{}[/tex]                             Reason

S1. Line m is parallel to line n       [tex]{}[/tex]            R1. Given

S2. ∠1 ≅ ∠2                   [tex]{}[/tex]                            R2. Vertically opposite angles

S3. m∠1 ≅ m∠2                    [tex]{}[/tex]                     R3. Definition of congruency

S4. ∠2 and ∠3 form a linear pear      [tex]{}[/tex]      R4. Definition of a linear pair

S5. ∠2 is supplementary to ∠3 [tex]{}[/tex]      R5. Linear pair angles are supplementary

S6. m∠2 + m∠3 = 180°              [tex]{}[/tex]                Definition of supplementary angles

S7. m∠1 + m∠3 = 180°              [tex]{}[/tex]                 Substitution Property of Equality  

S8. ∠1 is supplementary to ∠3           [tex]{}[/tex]      Definition of supplementary angles

Question 2:

(a) The property of a square that is also a property of a rectangle is that all the interior angles of both a square and a rectangle equal

(b) The property of a square that is not necessarily a property of all rectangles is that the sides of a square are all equal, while only the length of the opposite sides of a rectangle are equal

(c) The property of a rhombi that is also a property of a square is that all the sides of a rhombi are equal

(d) A property of a rhombi that is not necessarily a property of all parallelogram is that the diagonals of a rhombi are perpendicular

(e) A property that applies to all parallelogram is that the opposite sides of all parallelogram are equal

Step-by-step explanation:

Answer:

it is a rational number

Answer:

rational

Step-by-step explanation:

infinite decimal

recurring decimal

integer

Answer

Charlie paid $5.94

Step-by-step explanation:

0.76x2 3/4=2.09

1.40x2.75=3.85

3.85+2.09=$5.94

Answer:

I believe the answer is 34 cm (I may be wrong but I'm 98% that my answer is correct)

Step-by-step explanation:

(excuse my handwriting on the ss its hard to write on a computer lol)

hope this helps :)

Answer:

..........................................

Step-by-step explanation:

////////////////////////

Answer:

x : 5

Step-by-step explanation:

I hope this is right! Good luck!

Answer:

p = −7

Step-by-step explanation:

96=−8(p−5)

96=(−8)(p)+(−8)(−5)(Distribute)

96=−8p+40

Step 2: Flip the equation.

−8p+40=96

Step 3: Subtract 40 from both sides.

−8p+40−40=96−40

−8p=56

Step 4: Divide both sides by -8.

−8p /−8 = 56 /−8

Answer:

Step-by-step explanation:

??? do you need help or is this free points?

Answer:

True

Step-by-step explanation: because they have 4 sides

All quadrilaterals are polygons because they are 2-dimensional closed shapes made up of interconnected straight lines, with four sides and angles.

Hence the given statement is true.

Sincw we know that,

A polygon is defined as a 2-dimensional closed shape made up of straight lines that are interconnected with each other at their endpoints. A Quadrilateral is a polyhedron that consists of four straight sides or edges.

The term quadrilateral is derived from two Latin words "quadri" meaning four and "latus" meaning sides.

It is important to note that not all polygons are quadrilaterals, but all quadrilaterals are indeed polygons.

Some examples of quadrilaterals include squares, rectangles, parallelograms, trapezoids, and rhombuses.

These shapes share certain properties such as having four sides and angles, with the sum of their interior angles adding up to 360 degrees.

To learn more about polygons visit:

https://brainly.com/question/23846997

#SPJ7

Answer:

35

Step-by-step explanation:

if GFL = 34 and GEL = 36 FLG would be 35

Answer:

80%

90%

Step-by-step explanation:

BRAINLIEST PLEASE

Answer:

[tex]2\sqrt[3]{2}[/tex]

Step-by-step explanation:

This is equal to [tex]\sqrt[3]{8} * \sqrt[3]{2} = 2\sqrt[3]{2}[/tex]

Answer:

0.7

Step-by-step explanation:

To get 7/10 as a decimal you simply divide 7 by 10 which gets you 0.7.

Answer:

Step-by-step explanation:

Let us represent

Let the wood bat = w

Let the base ball bats = b

Savelot offers two types of baseballs bats the wood bat sell for 24$ and the metal bats sell for 30 in one day save lots sold 23 base ball bats these recipts for those bats totaled $606 how many of each type of bat was sold

System of Equations

w + b = 23.... Equation 1

b = 23 - w

24w + 30b = 606..... Equation 2

We substitute:30 - w for b

Hence:

24w + 30(23 - w) = 606

24w + 690 - 30w = 606

24w - 30w = 606 - 609

-6w = -84

w = -844/-6

w = 14 wood bats

b = 30 - 14

b = 16 base ball bts