Find the surface area of the cylinder

Answer:

A) repelled by each other, I did this on usa testprep

Step-by-step explanation:

Answer:

b atracted to each other

Step-by-step explanation:

got it right on usatestprep

the economic entity concept

Answer:

economic entity principle

Step-by-step explanation:

A.2

3^2 = 9

(any number greater than one because 3^1 = 3, this is not greater than 3)

B. 0

3^0 = 1

(any number less than 1, so it can't be one, but can be a negative number or zero - any number to the power of zero is one)

Hope this helps!

Answer:

Step-by-step explanation:

1. The sequence is not arithmetic.

2. d=-30

The a seer to the more expensive rug is; D: the green rug is $11.01 more expensive than the white rug.

We are told that;

Current cost of Green rug = $54.50

Current cost of White rug = $31.85

Now the store wants to mark down the green rug by 12%. Thus;

New price of green rug = (100% - 12%) × 54.5

New price of green rug = $47.96

Now the store wants to mark up the white rug by 16%. Thus;

New price of white rug = (100% + 16%) × 31.85

New price of green rug = $36.95

Difference in New prices = $47.96 - $36.95

Difference in New prices = $11.01

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So, here we are to factor the polynomials :

[tex]\\ 1. \sf \qquad5a^2b^2 + 10ab +25a\\ \\[/tex]

[tex] \longrightarrow\sf \qquad5a(ab^2 + 2b +5)\\ \\[/tex]

[tex]\\ 2. \sf \qquad 8m^2n^2 - 24mn^3 +16mn\\ \\[/tex]

[tex] \longrightarrow\sf \qquad 8mn(mn - 3n^2 +2)\\ \\[/tex]

[tex]\\ 3. \sf \qquad 9xz^3 + 18yz^2 + 24z^2\\ \\[/tex]

[tex]\longrightarrow \sf \qquad 3z(3xz^2 + 6yz+ 8z)\\ \\[/tex]

[tex]\\ 4. \sf \qquad 16x^6y + 16x^2y^4 + 32x^3y^2\\ \\[/tex]

[tex] \longrightarrow \sf \qquad 16 {x}^{2} y(x^4 + y^3 + 2xy)\\ \\[/tex]

Some points to know :

This experiment has 36 possible combinations, and we will see that:

First, we need to find the total number of outcomes.

We have two dice with 6 outcomes each, so the total number of outcomes of the experiment of tossing the two dice is:

C = 6*6 = 36

Such that the sample space is all the numbers between 2 and 12 (because our variable is the sum of the two values).

Now, to get the probability of winning we need to count the number of outcomes that add to 7 or 11, these are:

(Add to 7)

dice 1    dice 2            

   1            6                  

  2            5                  

   6           1

   5            2

    4           3

    3            4

(Add to 11)

dice 1    dice 2          

  5            6

  6             5

So there are 8 outcomes, then the probability of winning is:

P = 8/36  =0.22

The probability of losing is when the sum adds to 2, 3, or 12.

The outcomes that add to that:

(Add to 2)

dice 1    dice 2    

1               1

(Add to 3)

dice 1    dice 2    

 1              2

 2              1

(Add to 12)

dice 1    dice 2    

  6            6

There are 4 outcomes that add to these values, so the probability of losing is:

P = 4/36 = 0.11

If you want to learn more about probability, you can read:

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Answer:

Vol = 252 cubic ft

Step-by-step explanation:

Consider the bottom and top of the shape separately. Calculate the volumes and add them together.

Bottom of the shape is a prism. Volume of a prism:

V =

Base Area•Height

The base is a triangle. Use Area of a triangle formula:

A = 1/2b•h

A = 1/2(7)(6)

A = 21

Use 21 for Base Area for both parts of the volume calculation.

Vol of prism, continued:

V = 21•9

V = 189

Volume of a pyramid (top)

V = 1/3•BaseArea•Ht

=1/3(21)(9)

=63

Total Volume=

189 + 63

= 252 cubic ft

Answer:

0.3

Step-by-step explanation:

15/50=0.3

OR

(15*2)/(50*2)

30/100=0.3

Answer:4^6

Step-by-step explanation:

The number of times a term is multiplied is the exponent you use.

In this problem

4 is multiplied 6 times.

Therefore: 4*4*4*4*4*4=4^6

Answer:

33.51 units³

Step-by-step explanation:

Volume of a sphere is given by the formula :

V = [tex]\frac{4}{3} \pi r^{3}[/tex]

Because we have the radius we can plug it into the equation to give us :

V  = (4/3)×π×(2)³

V = 4/3×8π

V ≈ 33.51

Units will be units³ since no measurement is given but it to the power of 3 since it is volume.

Answer:23%

Step-by-step explanation: 800-616= 184

Discount is 184

percentage is 184/800 ×100/1 =23%

Using proportions, it is found that Yes, there could be 5 kids, with 3 boys and 2 girls.

A proportion is a fraction of a total amount.

In this problem, supposing a total of 5 kids:

Hence, Yes, there could be 5 kids, with 3 boys and 2 girls.

More can be learned about proportions at https://brainly.com/question/24372153

Answer: 50%

Step-by-step explanation:

Because 2 of four is half, that that the probability is a 50% chance.

Answer:

1/2

Step-by-step explanation:

Think of this like a pizza or pie:

If there are four slices and two represent hazel eyes, how many slices are "hazel eyes?" It would be 2 of 4, or 2/4.

Because this is a fraction and it can be simplified, it would be 1/2.

So there is a 50% chance that the randomly selected person of the four people will have hazel eyes.

a) 24.92

b) 65.616

c) 66.43

d) 6.13

e) 25.0862

f) 4.95

Answer:

The current of the circuit at t = 0 is equal to 0.

If we take the limit as t approaches infinity, the current is equal to ε/R or V/R.

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:

[tex]\displaystyle (cu)' = cu'[/tex]

Derivative Property [Addition/Subtraction]:

[tex]\displaystyle (u + v)' = u' + v'[/tex]

Derivative Rule [Basic Power Rule]:

Slope Fields

Integration

Integration Rule [Reverse Power Rule]:

[tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:

[tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Multiplied Constant]:

[tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Method: U-Substitution

Electricity

Ohm's Law: V = IR

Circuits

Step-by-step explanation:

*Note:

In the given equation, our variable of differentiation is x. I will rewrite this as current I for physics notation purposes.

Step 1: Define

Identify given.

[tex]\displaystyle L \frac{dI}{dt} + RI = V[/tex]

[Assuming switch S is closed] Recall that an inductor is used in a circuit to resist change. After a long period of time, when it hits steady-state equilibrium, we expect to see the inductor act like a wire.

Step 2: Find Current Expression Pt. 1

Step 3: Find Current Expression Pt. 2

Identify variables for u-substitution.

Step 4: Find Current Expression Pt. 3

Recall that our initial condition is when t = 0, denoted as u₀, and we go to whatever position u we are trying to find. Also recall that time t always ranges from t = 0 (time can't be negative) and to whatever t we are trying to find.

Recall that our initial condition u₀ (derived from Ohm's Law) contains only the voltage across resistor R, where voltage is supplied by the given battery. This is because the current is stopped once it reaches the inductor in the circuit since it resists change.

Step 5: Solve

If we are trying to find the strength of the electrical current I at t = 0, we simply substitute t = 0 into our current function:

[tex]\displaystyle\begin{aligned}I(t) & = \frac{\mathcal E}{R} - \frac{\mathcal E}{R} e^{- \frac{R}{L}t} \\I(0) & = \frac{\mathcal E}{R} - \frac{\mathcal E}{R} e^{- \frac{R}{L}(0)} \\& = \boxed{\bold{0}}\end{aligned}[/tex]

If we are taking the limit as t approaches infinity of the current function I(t), we are simply just trying to find the current after a long period of time, which then would just be steady-state equilibrium:

[tex]\displaystyle\begin{aligned}I(t) & = \frac{\mathcal E}{R} - \frac{\mathcal E}{R} e^{- \frac{R}{L}t} \\\lim_{t \to \infty} I(t) & = \frac{\mathcal E}{R} - \frac{\mathcal E}{R} e^{- \frac{R}{L}(\infty)} \\& = \boxed{\bold{\frac{\mathcal E}{R}}}\end{aligned}[/tex]

∴ we have found the current I at t = 0 and the current I after a long period of time and proved that an inductor resists current running through it in the beginning and acts like a wire when in electrical equilibrium.

---

Topic: AP Physics C - EMAG

Unit: Induction

Answer:c

Step-by-step explanation:

Answer:

A. 167.4

B. I don't know but I hope this helps :)

Step-by-step explanation:

the formula for volume of a funnel is:

V= 1/3 pi r^2 h

if we plug in the given values we are left with:

V= 1/3 (pi) 4^2 (10)

using 3.14 for pi, we get the answer:

V= 167.4

The resulting equation which is obtained after the first step in the solution of the provided equation is 2v +4=8.

Algebraic expression are the expression which consist the variables, coefficients of variables and constants. The algebraic expression is used to represent the general problem in the mathematical way to solve them.

Consider the following equation,

[tex]\dfrac{5}{3}v +4+\dfrac{1}{3}v=8[/tex]

To solve this equation, first we have to arrange the similar terms one side of the equation as,

[tex]\dfrac{5}{3}v+\dfrac{1}{3}v +4=8[/tex]

Solve it further by taking LCM,

[tex]\dfrac{5+1}{3}v +4=8\\\dfrac{6}{3}v+4=8\\2v +4=8\\[/tex]

Hence, the resulting equation which is obtained after the first step in the solution of the provided equation is 2v +4=8.

Learn more about the algebraic expression here;

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Answer:

c on edge

Step-by-step explanation:

Using the domain and the range of the function, it is found that the correct option is given by:

4- Both f(x) and g(x) include domain values of [12, ∞), and both functions increase over the interval (12, ∞).

Function f(x) is defined by: f(x) = 12x.

Function g(x) is defined by: [tex]g(x) = \sqrt{x - 12}[/tex]

This means that option 4 is correct.

More can be learned about domain and range of a function at https://brainly.com/question/27274752

Answer:

66

Step-by-step explanation:

use

P- parenthesis

E- Exponents

M-multiplication

D-Division

A- addition

S- subtraction

NOTE THAT MULTIPLICATION IS NOT MORE IMPORTANT THAN DIVISION AND SAME GOES FOR ADDITION AND SUBTRACTION.

This means that that we do it from left yo right

4×16+3-1 --> 64+3-1 --> 67-1 = 66

Answer:

x=㏒3(2189)

Step-by-step explanation:

[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=9 \end{cases}\implies SA=4\pi (9)^2\implies SA=324\pi[/tex]

#5 = 53° #7 = 125° #6 = 55° #2 = 72° #3 = 55° #1 = 53° #4 = 127°

triangle = 180° 

alternating interior angles are the same (#6 & #3 and #5 and #1) 

#3 and #7 should equal 180° 

#1 and #4 should also equal 180° 

#6 and #7 should equal 180° 

#4 and #5 should equal 180°

Answer:

40x 12 year olds
50x 13 year olds
10x  14 year olds

Step-by-step explanation:

40% of 100 is 40
50% of 100 is 50
100%-90%=10%, 10% of 100 = 10

Students of 12 years are 40%, students of 13 years are 50% and students of 14 years are 10%.

A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".

Given, total students in band  = 100

40% are of  12 years

40% of 100 = 0.4 x 100  = 40

12 years student = 40 = 40%

1/2 of 13 years

1/2 of 100 = 1/2 x 100 = 50 =50%

13 years of student = 50

and rest are 14 years

100 - 50 - 40 = 10

14 years student = 10 = 10%

Hence 40% students are 12 years, 50% are of 13 years and 10% of students are of 14 years.

Learn more about percent;

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#SPJ2

Answer:

Sue is incorrect

Step-by-step explanation:

we can use hmmm any value per se for the card, hmmm say let's use $2, if the baseball card was initially 2 bucks, and after 10 years it went up in value by 50%, well 50% of 2 is 1, so the new value is 3 bucks, then

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill &3\\ P=\textit{initial amount}\dotfill &2\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &10\\ \end{cases} \\\\\\ 3=2(1 + \frac{r}{100})^{10}\implies \cfrac{3}{2}=(1 + \frac{r}{100})^{10}\implies \cfrac{3}{2}=(\frac{100+r}{100})^{10} \\\\\\ \sqrt[10]{\cfrac{3}{2}}=\cfrac{100+r}{100}\implies 100\sqrt[10]{\cfrac{3}{2}}=100+r \\\\\\ 100\sqrt[10]{\cfrac{3}{2}}-100=r\implies 4\approx r[/tex]

Answer:

B

Step-by-step explanation:

i got it right on edge

Answer:

It is B

Step-by-step explanation: