h=-16t^2+320, how long will it take to hit the ground

Answer:

[tex]\frac{d^2y}{dx^2}=\frac{x(2y-x^3)}{y^3}[/tex]

Step-by-step explanation:

Find the first implicit derivative using implicit differentiation

[tex]2x^3-3y^2=8\\\\6x^2-6y\frac{dy}{dx}=0\\ \\-6y\frac{dy}{dx}=-6x^2\\ \\\frac{dy}{dx}=\frac{x^2}{y}[/tex]

Use the substitution of dy/dx to find the second derivative (d²y/dx²)

[tex]\frac{d^2y}{dx^2}=\frac{(y)(2x)-(x^2)(\frac{dy}{dx})}{y^2}\\ \\\frac{d^2y}{dx^2}=\frac{2xy-(x^2)(\frac{x^2}{y})}{y^2}\\\\\frac{d^2y}{dx^2}=\frac{2xy-\frac{x^4}{y}}{y^2}\\\\\frac{d^2y}{dx^2}=\frac{x(2y-x^3)}{y^3}[/tex]

Answer:

The Sample space

Step-by-step explanation:

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

Answer: D

Step-by-step explanation:

21=7+6+neither-5

7+6=13-5=8

21-8=13

[tex]\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=30\pi \end{cases}\implies 30\pi =2\pi r\implies \cfrac{30\pi }{2\pi }=r\implies \boxed{15=r} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=15\\ \theta =225 \end{cases}\implies \widehat{XY}=\cfrac{(225)\pi (15)}{180}\implies \boxed{\widehat{XY}\approx 58.90} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad A=\pi (15)^2\implies A=225\pi \implies \boxed{A\approx 706.86}[/tex]

Answer:

314.16 m (if pi = 3.14) || 314π m (if (you may want to check the math yourself, just in case!)

Step-by-step explanation:

Step 1) Formula of a cone.

•volume = (1/3) * π * r² * h. [Or, if you prefer, volume = π * r² * h/3 ]

Step 2) Apply numbers.

•r = 1/2 * base diameter || r = 5 m

•height(h)= 12 m

Step 3) Apply formula.

V= (1/3) * π * 5² * 12

[Step 4 depends on how you learn, and this also dictates the answer, please read carefully.]

Step 4a) IF DEFINITE EXACT ANSWER (π = π), then V= 314.16

Step 4b) IF π = 3.14, then V= 314π

I was taught in a strange way where two different methods can be applied, so the answer depends on which one you've been taught!

(apologies if a mistake has been made)

450.46497

[tex]We\ know\ that:[/tex]

[tex]\left\{\begin{matrix}P=400\\r=2\%\\n=1\\t=6\\\end{matrix}\right.[/tex]

________________________________________________

[tex]Substitute[/tex] [tex]\left\{\begin{matrix}P=400\\r=2\%\\n=1\\t=6\\\end{matrix}\right.[/tex][tex]into\ formula[/tex]

[tex]F=P*(1+r/n)^n^t\\ F=400\bullet(1+2\bullet\frac{1}{100})^6[/tex]

_________________________________________________

[tex]Evaluate\ the\ equation/expression:\\ 450.46497[/tex]

I hope this helps you

:)

Answer:

1/8

Step-by-step explanation:

1/4 ÷ 2 = 0.125

0.125 as a decimal is 1/8

The price of the refrigerators that is the median for the first half of the data is $498.

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

The prices arranged in ascending order is: $379, $498, $619, $777, $895, $1052, $1256

The first half of the prices are $379, $498, $619,

Median = $498

To learn more about median, please check: https://brainly.com/question/14746682

Answer:

A=49.12

Step-by-step explanation:

The area of the figure=

Area of the triangle + area of the semicircle.

Area of the triangle=

½×the base × the height=

½×6×8=

24ft.

Area of the semicircle=

½×3.14×4²=

25.12ft.

Area of the figure=

24+25.12=

49.12ft

Answer:

I'm not to sure of this answer

Answer:

C)  8 sheets of red and 13 sheets of yellow felt

Step-by-step explanation:

Red felt

Red felt needed for 1 toy = 3/8 sheet

⇒ Red felt needed for 20 toys = 20 × 3/8 sheets

[tex]\sf \implies 20 \times \dfrac38=\dfrac{20}{1}\times \dfrac38=\dfrac{20 \times 3}{1 \times 8}=\dfrac{60}{8}=7\frac12[/tex]

Therefore, 8 complete sheets of red felt are needed.

Yellow felt

Yellow felt needed for 1 toy = 5/8 sheet

⇒ Yellow felt needed for 20 toys = 20 × 5/8 sheets

[tex]\sf \implies 20 \times \dfrac58=\dfrac{20}{1}\times \dfrac58=\dfrac{20 \times 5}{1 \times 8}=\dfrac{100}{8}=12\frac12[/tex]

Therefore, 13 complete sheets of yellow felt are needed.

Answer:

Approximately 32

Step-by-step explanation:

8.1 is closest to 8

4.2 is closest to 4

Thus, you can estimate the product to be 8*4=32

The actual product is 8.1*4.2=34.02, so it's about 2 greater than the estimated product

Answer:

cUse the following equation

Step-by-step explanation:

Because of the way these angles are positioned, they must be equal to 180 together

(2x + 5) + (0.5x + 150) = 180

2.5x + 155 = 180

- 155 - 155

2.5x = 25

2.5x/2.5 = 25/2.5

x = 10

Put x into the original equations and solve

Answer:

17pi/36 (PLATO answer)

Step-by-step explanation:

The 39th term of the sequence is 200.

Arithmetic sequence or arithmetic progression is the set of numbers for which the difference of any two consecutive numbers in that set will be a constant.

The constant term which is the difference of the two consecutive numbers is called the common difference and is usually denoted by 'd'.

Arithmetic sequence is usually represented as

a, a + d, a + 2d, ........, a + (n - 1)d

The nth term of an arithmetic sequence, aₙ is given by the formula,

aₙ = a + (n - 1) d

where, a is the first term and d is the common difference.

The given sequence is 10, 15, 20, ......

a = 10

d = 15 - 10 = 5

Here, we have to find the 39th term of the sequence.

a₃₉ = 10 + (39 - 1) 5

     = 10 + (38 × 5)

     = 10 + 190

     = 200

Hence, the 39th term of the progression 10, 15, 20,..... is 200.

To learn more about Arithmetic Sequence, click:

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Answer:

The answer is 7.2

The surface area of the actual ramp, including the underside is 16.8 ft²

H1 = 1.2 feet (height of the actual ramp)

and, H2 = 6 cm (height of the model)

The scale factor (k) is:

k = 1.2 feet / 6 cm

k = 0.2 ft/cm

The actual measurements would be:

16cm = 16 cm x 0.2 ft/cm = 3.2 ft

and, 9 cm = 9 cm x 0.2 ft/cm = 1.8 ft,

and, 10 cm = 10 cm x 0.2 ft/cm = 2 ft,

So, the surface area is

Area = 2(0.5 x 3.2 ft x 1.2 ft) + 2(2 ft x 1.8 ft) + (1.8 ft x 3.2 ft)

Area = 16.8 ft²

Hence, the surface area of the actual ramp is 16.8 ft²

Learn more about surface areas here:

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D or A not sure

The Twenty-fourth Amendment (Amendment XXIV) of the United States Constitution prohibits both Congress and the states from conditioning the right to vote in federal elections on payment of a poll tax or other types of tax.

Answer:

(D) they do not pay their taxes ​

Step-by-step explanation:

I got it correct on an exam I did.

Answer:

Step-by-step explanation:

CONE:

height of cone = h =  12 cm

r =3.5 cm

[tex]Volume \ of \ cone =\dfrac{1}{3}\pi r^{2}h[/tex]

                           [tex]=\dfrac{1}{3}*\dfrac{22}{7}*3.5*3.5*12\\\\\\=22*0.5*3.5*4\\\\= 154 \ cm^{3}[/tex]

Cylinder:

h = 16 cm

r = 3.5 cm

[tex]Volume \ of \ cylinder = \pi r^{2}h\\[/tex]

                                [tex]= \dfrac{22}{7}*3.5*3.5*16\\\\\\= 22*0.5*3.5*16\\\\= 616 \ cm^{3}[/tex]

Total volume = 154 + 616

                       = 770 cm³

Answer:

Step-by-step explanation:

The figure is a triangular prism.

The figure has 6 vertices.

The figure had 9 edges.

Vertex: The meeting point of two edges is called vertex

Edge: The meeting point of two faces is called an edge.

Answer:

7 guest will not be served.

Step-by-step explanation:

Answer:

100+200×300 = 60100

Step-by-step explanation:

According to the BODMAS, the order to solve any question is as follows

B - Brackets

O - Order

D - Division

M - Multiplication

A - Addition

S - Subtraction.

in the above expression Addition and multiplication two different operations are functioning. According to BODMAS the multiplication expression will be solved first, that outputs.

200×300 = 60000

after calculating correctly we have to operate second function i.e. addition and add 100 to the above result,

60000+100 = 60100

[tex]{Answer = 60100}[/tex]

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Answer:

U add both side of the shape to get the fractional

Step-by-step explanation:

I just did this not to long ago

[tex]\cfrac{6}{5}~~ + ~~\boxed{?}~~ = ~~\cfrac{27}{10}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{10}}{10\left( \cfrac{6}{5}~~ + ~~\boxed{?} \right)~~ = ~~10\left( \cfrac{27}{10} \right)}\implies 12+10\boxed{?}=27 \\\\\\ 10\boxed{?}=15\implies \boxed{?}=\cfrac{15}{10}\implies \boxed{?}=\cfrac{3}{2}[/tex]

Answer:

Step-by-step explanation:A. h(x) = √(x-2)

Step-by-step explanation:

To translate a function right by p units and up by q units, the function becomes ...

g(x) = f(x -p) +q

Here, there is no translation upward, but there is a translation of 2 units to the right. The transformed function's name is given as h (not g), so you have ...

(p, q) = (2, 0)

h(x) = f(x -2) +0

h(x) = √(x -2)

The function h(x) , a transformation of the parent function f(x) = √x is √(x+1). Option A is correct option.

The transformation of the function is a function that curves a graph formed by the moving the original graph to left / right / up / down or by expansion or compression.

The transformation is of type horizontal shift when the curve moves to left or right. For y = f(x) , when this curve moves left or right the transformation  is given by y = f(x +c), c > 0 moves y=f(x) to the left by c units

and if c < 0 , moves  y =f(x) to the right by c units

Given that the graph of the f(x) = √x by dotted line and the graph of its transformation h(x) given by solid line.

h(x) is clearly formed by moving f(x) one units to the left as it is moved to left by 1 on origin

Then transformation of y =f(x) moving one unit to left will be given by

y = f(x+1) =√(x+1)

Therefore , transformation h(x) of f(x) is h(x) =√(x+1) and option A is correct option.

Also, Learn more about the transformation of a function from the link below:

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The given function has Amplitude of 3, and by seeing it we can conclude that it's a sine function.

Therefore, we can conclude that the required Answer is ~

[tex]\qquad \sf  \dashrightarrow \:c. \: f(t) = 3 \sin(4t) [/tex]

The sinusoidal function is represented as y = 3 sin 4t. Then the correct option is C.

It is a function that repeats itself in a particular time interval.

The sine function is given as

y = A sin (wt + Ф)

where A is the amplitude, w frequency, and Ф is the phase difference.

From the graph, the value of the amplitude will be 3, the frequency will be 4, and the phase difference will be 0. Then the equation will be

y = 3 sin4t

More about the sine function link is given below.

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Answer:

D

Step-by-step explanation:

Remark

The first thing you must do is notice that <D = <BEA. Mark it that way on your diagram.

The Second thing you need to notice is that <BEA and <A are equal because <A and <D are marked as equal.

So both the large triangle and the small one are isosceles. because 2 of the 3 angles are equal.

Now are you ready for this? That means that BA = 10 because BA is opposite one of the 2 equal angles in the small triangle. So now you are ready to set up a proportion.

Proportion

AB / AC = AE/AD

Givens

AB = 10

AC = 18

AE = 8

AD = x + 8

Solution

Substitute the Givens into the Proportion.

10/18 = 8/(x + 8)                      Cross multiply

10(x + 8) = 8 * 18                     Simplify both sides

10x + 80 = 144                        Subtract 80 from both sides

10x + 80 - 80 = 144 - 80

10x = 64                                   Divide by 10

10x/10 = 64/10

Answer: x = 6.4

[tex]============================[/tex]

First, let's use the Slope Formula to find the slope:

[tex]\pmb{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]

[tex]\pmb{\displaystyle\frac{4-1}{3-0} }[/tex]

[tex]\pmb{\displaystyle\frac{3}{3}}[/tex]

Which simplifies to

[tex]\pmb{1}[/tex]

So the slope is 1.

Now, here's a point that the line passes through:

(0, 1)

Write the equation in point-slope form:

[tex]\pmb{y-y1=m(x-x1)}[/tex]

y-1=1(x-0)

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Hope everything is clear; if you need any more clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)