Write and solve an equation to find the unknown side length x
(in feet).

Perimeter =34.6
ft

Answer:

[tex] \hookrightarrow \: { \rm{f(x) = \frac{ {x}^{3} }{8} + 16}} \\ [/tex]

• let f(x) be m:

[tex]{ \rm{m = \frac{ {x}^{3} }{8} + 16}} \\ [/tex]

• make x the subject of the function:

[tex]{ \rm{8m = {x}^{3} + 128}} \\ \\ { \rm{ {x}^{3} = 8m - 128 }} \\ \\ { \rm{ {x}^{3} = 8(m - 16) }} \\ \\ { \rm{x = \sqrt[3]{8} \times \sqrt[3]{(m - 16)} }} \\ \\ { \rm{x = 2 \sqrt[3]{(m - 16)} }}[/tex]

• therefore:

[tex]{ \boxed{ \rm{ {f}^{ - 1} (x) = 2 {(m - 16)}^{ \frac{1}{3} } }} }\\ [/tex]

Answer:

y=-x+pi/3+sqrt(3)/2

Step-by-step explanation:

*I assume you are asking for help on part a because the other question is a calculator question.*

We want to find tangent line to y=2sin(x)cos(x) at x=pi/3.

First I prefer to use y=sin(2x). (Double angle identity: sin(2x)=2sin(x)cos(x) .)

Differentiate using chain rule:

y'=2cos(2x)

y' gives us the slope for any tangent along our curve.

So at x=pi/3, the slope is 2cos(2×pi/3)=2cos(2pi/3)=2(-1/2)=-1.

We also need to know a point our line to find the equation of our line.

At x=pi/3, y=sin(2×pi/3)=sin(2pi/3)=sqrt(3)/2.

So a point on our line is (pi/3, sqrt(3)/2).

So by point-slope form of a line we have

y-y1=m(x-x1)

y-sqrt(3)/2=-1(x-pi/3)

Distribute:

y-sqrt(3)/2=-x+pi/3

Add sqrt(3)/2 on both sides:

y=-x+pi/3+sqrt(3)/2

Answer:

y= -x+(pi/3)+(sqrt3)/2

Step-by-step explanation:

The given is y=2sin(x)*cos(x)

to take the derivative we will need to use the constant rule (which says when taking the derivative of any constant multiplied by an expression you take the derivative of the function and multiply it by the constant) and the multiplication rule to get

y'=2(sin(x)*-sin(x)+cos(x)*cos(x))

this would simplify to be

y'=-2sin^2(x)+2cos^2(x)

We then substitute in the given x value to find the slope of the tangent line at that point and get

-2sin^2(pi/3)+2cos^2(pi/3)

which simplifies to

-2*3/4+2*1/4

which is -1

Since we have the slope we need to find the y value to go with the original x so that we have a point to use in point slope form. When we substitute pi/3 into the given equation we get (sqrt 3)/2 and have the point (pi/3, sqrt3/2)

now we write the point slope form equation

y-(sqrt3)/2= -(x-pi/3)

y-(sqrt 3)/2 = -x+pi/3

y= -x+pi/3+(sqrt3)/2

you could simplify the last two terms, but I think it is simplest to understand this way.

For b, enter both equations into graphing software or a calculator

Answer:

Step-by-step explanation:

A. Senators have to have been a U.S. citizens for nine years prior to being elected; members of the House of Representatives must be American citizens for seven years before being elected.

C. Senators and members of the House of Representatives must live in the state they represent.

D. Senators must be at least 30 years old; members of the House of Representatives must be at least 25.

Answer: the 15th day

Step-by-step explanation:

Skip count by both numbers until you reach the first number they have

   in common;

     3, 6, 9, 12, 15, 28, 21, 24, 27, 30

     5, 10, 15, 20, 25, 30, 35, 40

There is only one real solution to these two equations, which we can see on the graph. The solution is where the two equations intersect.

Hope this helps!! :)

Answer:

28.3 28 25 5 4 3 1

Step-by-step explanation:

What is that V there for? I can fix answer if needed

Answer: You"ll earn $884 because we know that 707.20 divided by 32 equals 22.1 and 22.1x40 = $884. Therefore, you"ll make $884 for 40 hours.

Answer:

Move all terms not containing

g

to the right side of the equation.

Exact Form:

g

=

46/5

Decimal Form:

g

=

9.2

Mixed Number Form:

g

=

9 1/5

.:

Answer:

g = 2 1/5

Step-by-step explanation

get g by itself by canceling out the 5

whatever you do to one side you have to do to the other side.

5-5 leaves you with nothing but the g on the left side of the equals sign

7 1/5 -5= 2 1/5

so your left with g= 2 1/5

g + 5 = 7 1/5

    -5     -5

g  = 2 1/5

Answer:

i would like to b a k e a  dan ish

Step-by-step explanation:

⃝⃝⃝  Hello there! ☆☆☆☆☆

There are 6 red apples.

We have 13 apples. 7 are green. The amount of red apples is found by:

13-7=6

:)

I hope this helps you!

[tex]GraceRosalia[/tex]

Answer:

6 red apples

Step-by-step explanation:

13 - 7 = 6

Answer:

663/20

Step-by-step explanation:

if you want simplist form its 33 3/20 or decimal its 33.15

Answer:

just get the cube root of 614

Answer: 9

Step-by-step explanation:

The opposite of -9 is 9.

Answer:

25 rows

Step-by-step explanation:

Because if you divide 350 by 14 it gives you 25

Answer:

25

Step-by-step explanation:

350÷ 14 = 25.........

Answer:

2960 ft.........is the difference between -40ft and 3000ft

If it takes 1 pizza to feed 3 people and you invite 36 people, you can divide 36 by 3 to get the answer -

36/3 = 12

You will need 12 pizzas.

1100 1011₂ = 1•2⁷ + 1•2⁶ + 1•2³ + 1•2¹ + 1•2⁰

1100 1011₂ = 128 + 64 + 8 + 2 + 1

1100 1011₂ = 203

Answer:

(2/x)3 or 3(2/x

Step-by-step explanation:

The quotient of 2 and x is expressed as 2/x Multiplied by 3 can be expressed as (2/x)3 or 3(2/x)  

Answer:

3000 for 15 years at 4.5% p.a CI is. Rs. 23809.41.

Answer:

piecewise, continuous.

Step-by-step explanation:

This is piecewise simply because it is in pieces. Thus PIECEwise (Pun intended). This is continuous because, as you can see, there is a filled in dot on the same x coordinate as every empty dot. The empty dots mean that that value is not in that part of the graph. However, since the other parts of the function "fill the gaps," then it is continuous.  I hope this helps!

It's offcourse piecewise

For continuity

Observe the graph

The domain is like

For close ineterval there is an open interval hence it's continuous

As we know,

[tex] \boxed{ \boxed{(a + b) {}^{2} = {a}^{2} + {b}^{2} + 2ab}}[/tex]

now, let's plug the given values to find a² + b²

Answer:

D) Squares, rectangles, rhombuses and trapezoids are quadrilaterals

Answer:

2. 4y-2xy

Step-by-step explanation:

6y-2y(x+1)=6y-2xy-2y

=4y-2xy

Answer: 15 cm

Step-by-step explanation: So first, do 14 squared plus 7 sqaured. The answer is 245. And now let’s compare it to 22 cm and 15 cm. 22 squared is 484 and 15 sqaured is 225. 225 is closer to 245 than 484. Therefore, 15 is the correct answer.

Answer:

CE (for number 4)

Step-by-step explanation:

sorry i don't know the answer to 5

Answer:

i got it right on test⬇️

Answer:

5y·2x=21

[tex] \frac{y - y1}{y2 - y1} = \frac{x - x1}{x2 - x1} [/tex]

Step-by-step explanation:

using the formula above,you will find the equation 5y–2x=21