The surface area of a cylinder with height 2 in. is given by the function f(x) = 2πx2 + 4πx, where x is the radius. If g(x) = 4πx gives the surface area of the side of the cylinder, which combined function gives the total surface area of the two circular bases?

A. f + g
B. g − f
C. f − g
D. f · g

Answer:

B. y = 85x

Step-by-step explanation:

First, find the rate of change of the graph:

Rate of change = change in y/change in x

Using two points (0, 0) and (4, 300),

Rate of change (m) = (300 - 0)/(4 - 0) = 300/4

Rate of change (m) = 75

Compare this with the rate of change of the given equations in the options.

✔️Option A: y = 65x + 100

The rate of change of this equation is 65, which is less than the rate of change of the given graph (75)

✔️Option B: y = 85x

The rate of change of this equation is 85, which is greater than the rate of change of the given graph (75)

✔️Option B: y = 50x + 150

The rate of change of this equation is 50, which is less than the rate of change of the given graph (75)

✅Therefore, the equation that has a greater rate of change than the one shown in the graph is y = 85x

Answer:

G and H

Step-by-step explanation:

though with that being said i may be wrong (im not scamming like other users with random answers im being for real)

Answer:

120 ways

Step-by-step explanation:

To line 5 children up in a family photo, the number of possible arrangements is obtained by taking the factorial of the number of people on the line.

In this scenario, we have 5 ;

Recall;

n! = n(n-1)(n-2)(n - n-1)

5! = 5(5-1)(5-2)(5-3)(5-4)

5! = 5 * 4 * 3 * 2 * 1

5! = 120 ways

Answer:

17.74%

Step-by-step explanation:

The formula for percent error is given as:

|Estimated value - Actual value|/Actual value × 100

From the above question:

Estimated value = 73 feet

Actual value = 62 feet

Hence,

Percent error = |73 - 62|/62 × 100

= 11/62 × 100

= 17.741935484%

Approximately , percent error = 17.74%

Therefore, the percent error of Andy's estimation is 17.74%

Answer:

Solution given;

let dogs be d and cats be c.

according to the question

3 d +5 c =$365........[1]

5d+3c=$491.............[2]

By doing elimination method

multiplying equation 1 by 5 and equation 2 by 3 and subtracting

we get

15d+25c=$365*5

15d+9c=$491*3

- - -

____________

;16c=$352

c=[tex] \frac{352}{16} [/tex]=$22

the cost of one cat is $22.

Answer:

A. ( 0, 1 ), ( 1, 2 ), ( 2, 3 )

Step-by-step explanation:

( x, y ) = ( 0, 1 )

Here,

x = 0

y = 1

y = x + 1

1 = 0 + 1

1 = 1

( x, y ) = ( 1, 2 )

Here,

x = 1

y = 2

y = x + 1

2 = 1 + 1

2 = 2

( x, y ) = ( 2, 3 )

Here,

x = 2

y = 3

y = x + 1

3 = 2 + 1

3 = 3

Answer: 8 Pounds because it doesn't have to be an estimate due to it being the actual number.

Step-by-step explanation: because it doesn't have to be an estimate due to it being the actual number.

Answer:

C, 12

Step-by-step explanation:

Answer:

ayaw pag salig og brainly lods

Answer:

Area original = 8

Area new = 24

Area final = 3 x area original

True

Step-by-step explanation:

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

a) original: 8

final: 24

b) 3

c) true

Step-by-step explanation:

Answer:

D=90° E=103° F=77°

Step-by-step explanation:

D+90°=180°

D=90°

F+103°=180°

F=77°

E + F=180°

E=103°

Answer:

Maybe how many people are in the park

For given situation, (e - l)(4) means, there are 92 people in the amusement park 4 hours after the gates open.

"It is an expression that defines a relationship between one variable and another variable."

For given example,

the rate at which people enter amusement park is modeled by the function

[tex]e(x) = 0.03x^3 + 2[/tex]

where the rate is measured in hundreds of people per hour since the gates opened.

The rate at which people leave the amusement park is modeled by the function

[tex]l(x) = 0.5x + 1[/tex]

where the rate is measured in hundreds of people per hour since the gates opened.

First we find the subtraction of functions [tex](e-l)(x)[/tex].

[tex]\Rightarrow (e-l)(x)=e(x)-l(x)\\\\\Rightarrow (e-l)(x)=0.03x^3 + 2-(0.5x + 1)\\\\\Rightarrow (e-l)(x)=0.03x^3+2-0.5x-1\\\\\Rightarrow (e-l)(x)=0.03x^3-0.5x+1[/tex]

For x = 4,

[tex]\Rightarrow (e-l)(4)=0.03(4)^3-0.5(4)+1\\\\\Rightarrow \bold{(e-l)(4)=0.92}[/tex]

As, the rate is measured in hundreds of people per hour

So, (e - l)(4) means, there are 92 people in the amusement park 4 hours after the gates open.

Lean more about function here:

https://brainly.com/question/13461298

#SPJ2

Answer:

NO

NO SOLUTION

Step-by-step explanation:

2t + 2e = 11  eqn 1

t + e = 6.5 eqn 2

this can be solved using simultaneous  equation

Multiply eqn 2  by 2

2t + 2e = 13

subtract eqn 1 from2

0 + 0 = 2

there is no solution

Answer:

21 miles

Step-by-step explanation:

he runs 4.2 miles x 5 days

Andrew jogs 4.2 miles every day. Andrew runs 21 miles in five days.

We have given that,

Andrew jogs 4.2 miles every day.

We have to determine how many miles he jog in five days.

The extent or amount of space between two things, points, lines, etc. · the state or fact of being apart in space, as of one thing from another remoteness.

he runs

= 4.2 miles x 5 days

=21.0

Therefore Andrew runs 21 miles in five days.

To learn more about the distance visit:

https://brainly.com/question/2854969

#SPJ2

Answer: 168 sq. in.

Step-by-step explanation: the shape is a cubiod the volume is lbh=3*7*8=168

Answer:

x = 3 ; y=2

Step-by-step explanation:

to simplify the work we can build a system of two equations

2x+3 = 3y+3

x = y+1

we can now substitute the value of x in the first equation

2(y+1)+3 = 3y+3

2y + 2 + 3 = 3y+3

2y + 5 = 3y+3

y = 2

now we can subisitute the value of y in the first equation

x = 2 + 1 = 3

Verify

2(3)+3 = 6+3 = 9

3(2) + 3 = 6 + 3 = 9

3

2+1 = 3

Answer:

Solution given:

[tex] \frac{1 + \sin( \alpha ) }{1 - \sin( \alpha ) } - \frac{1 - \sin( \alpha ) }{1 + \sin( \alpha ) } [/tex]

[tex] \frac{(1 + \sin( \alpha )) {}^{2} - (1 - \sin( \alpha ) {}^{2} }{1 - \sin{}^{2} \alpha }[/tex]

[tex] \frac{1 + 2 \sin( \alpha ) + \sin {}^{2} ( \alpha ) - 1 + 2 \sin( \alpha ) - \sin {}^{2} ( \alpha ) }{ { \cos }^{2} \alpha } [/tex]

[tex] \frac{4 \sin( \alpha ) }{ \cos {}^{2}( \alpha ) } [/tex]

[tex]4 \tan( \alpha ) \sec( \alpha ) [/tex]

is your answer.

Answer:

Step-by-step explanation:

degrees

Answer: This is basic trig man, So I can help you here. First thing you need is a calculator that can do sin cos and tan, ti-84 would work best. You need to use the sin cos and tan formulas to find the edge lengths of the side. heres a helppful tip to remeber the proper way to use the formulas. SOH-CAH-TOA or sin(angle measure)= Opposite side to that angle measure divided by the hypotenuse cos(angle measure)= adjacent side (the side next to the angle) divided by the hypotenuse. and TOA or Tan(angle measure)=Opposite divided by adjacent.

Step-by-step explanation: This is a mix of Special right triangles and trig. You now know how to do the trig, look up special right triangles 60 30 90 and 90 45 45, it should show you how to do the rest of the math, since I don't recall the formulas for this off the top of my head. I am not just giving you the answers for two reasons, 1 it would take tooo long and I am already doing a quiz, which I have five minutes left to complete, and B If you cant do this for yourself you will fail the final for your course.

Complete question :

From a barrel of colored marbles, you randomly select 1 blue 6 yellow 7 red 4 green and 6 purple marbles. Find the experimental probability of randomly selecting a marble that is NOT yellow.

Answer:

Step-by-step explanation:

Total number of marbles :

Blue = 1 ; yellow = 6 ; red = 7 ; green = 4 ; purple = 6

Total = (1 + 6 + 7 + 4 + 6) = 24 marbles

Probability of selecting marble that is not yellow :

Number of marbles that aren't yellow / total number of marbles

Marbles that aren't yellow = 24 - 6 = 18

P(selecting a marble that isn't yellow) = 18 / 24 = 3/4

Answer:

1: 233 m

2: 466 m

3: 241.87 m

4: 483.72

Step-by-step explanation:

The Pythagorean Theorem states that a^2 + b^2 = c^2, in which c is the hypotenuse (in this case,  PQ and RS).

1: 105^2 + 208^2 = 54289, square root of 54289 = 233

2: Since the area of the triangle makes up half of the rectangle, multiply the area by 2 to get 466

3: 120^2 + 210^2 = 58500, square root of 58500 is 241.87

4: Multiply by 2 to get 483.72

Answer:

8 subtracted from the product of 9 and x

Hope this helps!

Answer:

link po ito po o hgugifhi zsuff/tkloi77r5 to 57t/

Step-by-step explanation:

l=1

b=3

h=3

l×b×h

9 is the vol

Step-by-step explanation:

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

Answer: x = -3 and x = 2

Step-by-step explanation: