Study island surface area

Answer: 18

Step-by-step explanation:

4 I-2I + (8+2)=

4(2) + 8+2=

8+8+2=

18

idrk but I hope you have a good day and good luck with ur answer

Since the common features of the polynomial function is f(x) = 2x² + 7x + 6 and exponential function g(x) = 2^x + 5 then:

Polynomial functions are known to be a kind of an expressions that is made up of a set of variables of different extent or degrees, non-zero coefficients, positive exponents (of variables), and also it is made up of constants.

Note that the equation of the functions are stated as:

f(x) = 2x² + 7x + 6

g(x) = 2^x + 5

The right and next thing to do is to plot a graph of both functions (see image attached)

From the graph, we have the fact that Both f(x) and g(x) have the same y-intercept of (0,6)

Therefore, Since the common features of the polynomial function is f(x) = 2x² + 7x + 6 and exponential function g(x) = 2^x + 5 then:

Learn more about polynomial function from

https://brainly.com/question/27590779

#SPJ1

Answer:

$2,450

Step-by-step explanation:

21:150 is the ratio of people who will donate $5.

21:150 / 3 = 7:50

7:50 x 2 = 14:100

14:100 = 21:50

14:100 x 35 = 490:3500

490 out of 3500 people will contribute $5.

490 x 5 = $2,450

Answer:

Step-by-step explanation:

7/3=7:

what will seven over three equals seven divide be

7/3 is a division (7:3)

so

your answer is :

3

(7/3=7:3)

6.4 cm is the needed circumference of the gasket following dilatation with a scale factor of 2.

The boundary length of any circular shape is known as the circumference.

A scale factor is a quantity multiplier (also known as a scale). The scaling factor for x, for instance, is represented by the letter "C" in the equation y = Cx. The factor would be 5 if y = 5x were the equation.

After scale factor 2 is applied, 6.4 cm must be the gasket's needed circumference.

It includes a rubber gasket with a 3.2 cm circumference. The circumference of the gasket has must be calculated after scaling up by factor 2.

Here,

3.2 cm is the gasket's circumference.

The circumference changed upon scale factor 2 dilatation.

Dilated gasket circumference: 2 * 3.2 = 6.4 cm

As a result, 6.4 cm is the needed circumference of the gasket following dilatation with a scale factor of 2.

To know more about scale factor visit:

https://brainly.com/question/14769343

#SPJ4

Answer:

6.4cm

Step-by-step explanation:

I Just Took the Test.

The calculations show that this pyramid's volume is equivalent to:

5.2h/3 cm3.

A polyhedron constructed by joining a polygonal base and a point, is called a pyramid. A lateral face is a triangle formed by the base edge and  vertex of each base. Conic solid with a polygonal basis describes it. The number of vertices, faces, and edges on a pyramid with an n-sided base is n + 1.

Base area = 5.2 [tex]cm^2[/tex].

Height in centimeters is equal to h.

The following formula is used to determine a pyramid's volume mathematically:

Base area divided by height equals one-third of the volume.

When we enter the parameters into the formula, we get;

Volume = 1/3 *5.2* h

Volume = 5.2h/3 [tex]cm^3.[/tex]

To know more about pyramids visit:

https://brainly.com/question/13935644

#SPJ4

I understand that the question you are looking for is :

A solid right pyramid has a regular hexagonal base with an area of 5. 2 cm2 and a height of h cm. a solid right pyramid has a regular hexagonal base with an area of 5. 2 centimeters squared and a height of h centimeters. which expression represents the volume of the pyramid? one-fifth(5. 2)h cm3 start fraction 1 over 5 h infraction(5. 2)h cm3 one-third(5. 2)h cm3 start fraction 1 over 3 h infraction(5. 2)h cm3

Since Point R divides PQ in the ratio 1:3. the x-coordinate of Q is 3

The question has to do with line division

This is the division of a line into a given ratio.

Since Point R divides PQ in the ratio 1:3. If the x-coordinate of R is -1 and the x-coordinate of P is -3.

Let

Since R divides PQ in the ratio, 1:3, we have that

PR/RQ = 1/3

(x₂ - x₁)/(x₃ - x₂) = 1/3

Substituting the values of the variables into the equation, we have

(x₂ - x₁)/(x₃ - x₂) = 1/3

(-1 - (-3))/(x₃ - (-3)) = 1/3

(-1 + 3)/(x₃ + 3) = 1/3

2/(x₃ + 3) = 1/3

x₃ + 3 = 2 × 3

x₃ + 3 = 6

x₃ = 6 - 3

x₃ = 3

So, the x-coordinate of Q is 3

Learn more about line division here:

https://brainly.com/question/13018136

#SPJ1

Answer:

associative

combining

commutative

Step-by-step explanation:

1. associative property of addition since the grouping is changed

2. combining like terms since it's the addition of 4 and 6

3. commutative property of addition since it's a change of order

4|a| + 8 - a, if a = -2

What we're doing here is plugging in the given value of a for every instance of a in the expression.

4|-2| + 8 - (-2)

---The absolute value of a number is its distance from 0. -2 is 2 units away from 0, so the absolute value of -2 is 2. And, remember two negatives make a positive!

4(2) + 8 + 2

8 + 8 + 2

16 + 2

18

Hope this helps!

Using the binomial distribution, there is a 0.9983 = 99.83% probability that at most eleven of the thirteen babies are girls.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

For this problem, the values of the parameters are:

p = 0.5, n = 13

The probability that at most eleven of the thirteen babies are girls is:

[tex]P(X \leq 11) = 1 - P(X > 11)[/tex]

In which

P(X > 11) = P(X = 12) + P(X = 13)

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 12) = C_{13,12}.(0.5)^{12}.(0.5)^{1} = 0.0016[/tex]

[tex]P(X = 13) = C_{13,13}.(0.5)^{13}.(0.5)^{0} = 0.0001[/tex]

So:

P(X > 11) = P(X = 12) + P(X = 13) = 0.0016 + 0.0001 = 0.0017

[tex]P(X \leq 11) = 1 - P(X > 11) = 1 - 0.0017 = 0.9983[/tex]

0.9983 = 99.83% probability that at most eleven of the thirteen babies are girls.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

#SPJ1

Answer:

1

Step-by-step explanation:

f(x) = x² + 3x

g(x) = 5x + 2

f(3) = 3² + 3 x 3

f(3) = 9 + 9

f(3) = 18

g(3) = 5(3) + 2

g(3) = 15 + 2

g(3) = 17

(f - g)(3) = 18 - 17

(f - g)(3) = 1.

Answer:

Step-by-step explanation:

Movie A: 267 students

Movie B: 217 students

Movie C: 233 students

Movie D: 183 students

I'll assume the ODE is

[tex]y'' - 3y' + 2y = e^x + e^{2x} + e^{-x}[/tex]

Solve the homogeneous ODE,

[tex]y'' - 3y' + 2y = 0[/tex]

The characteristic equation

[tex]r^2 - 3r + 2 = (r - 1) (r - 2) = 0[/tex]

has roots at [tex]r=1[/tex] and [tex]r=2[/tex]. Then the characteristic solution is

[tex]y = C_1 e^x + C_2 e^{2x}[/tex]

For nonhomogeneous ODE (1),

[tex]y'' - 3y' + 2y = e^x[/tex]

consider the ansatz particular solution

[tex]y = axe^x \implies y' = a(x+1) e^x \implies y'' = a(x+2) e^x[/tex]

Substituting this into (1) gives

[tex]a(x+2) e^x - 3 a (x+1) e^x + 2ax e^x = e^x \implies a = -1[/tex]

For the nonhomogeneous ODE (2),

[tex]y'' - 3y' + 2y = e^{2x}[/tex]

take the ansatz

[tex]y = bxe^{2x} \implies y' = b(2x+1) e^{2x} \implies y'' = b(4x+4) e^{2x}[/tex]

Substitute (2) into the ODE to get

[tex]b(4x+4) e^{2x} - 3b(2x+1)e^{2x} + 2bxe^{2x} = e^{2x} \implies b=1[/tex]

Lastly, for the nonhomogeneous ODE (3)

[tex]y'' - 3y' + 2y = e^{-x}[/tex]

take the ansatz

[tex]y = ce^{-x} \implies y' = -ce^{-x} \implies y'' = ce^{-x}[/tex]

and solve for [tex]c[/tex].

[tex]ce^{-x} + 3ce^{-x} + 2ce^{-x} = e^{-x} \implies c = \dfrac16[/tex]

Then the general solution to the ODE is

[tex]\boxed{y = C_1 e^x + C_2 e^{2x} - xe^x + xe^{2x} + \dfrac16 e^{-x}}[/tex]

The change in Tina's account after the three days; Monday, Tuesday and Wednesday is $-25

Deposit is a sum of money or other asset given as an initial payment, to show good faith, or to reserve something for purchase.

Withdrawal on the other hand, is to extract money from an account.

Change in Tina's account after the three days = - 35 - 60 + 75

= -95 + 75

= $-20

Therefore, the change in Tina's account after the three days; Monday, Tuesday and Wednesday is $-25.

Learn more about deposit and withdrawal:

https://brainly.com/question/16970802

#SPJ1

Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.

The theoretical probability of landing on orange is one fourth, and the experimental probability is 20%.

The experimental probability of selecting an orange marble is 0.33.

The experimental probability of landing on a number less than 2 is 12 over 60.

The experimental probability of landing on heads is 49%.

The theoretical probability of a fair coin landing on heads is 0.5.

It should be noted that a coin has a head and tail. Therefore, the probability of getting either will be:

= 1/2 = 0.5

Therefore, Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.

The statement that compares the theoretical and experimental probability of landing on orange is that the theoretical probability of landing on orange is one fourth, and the experimental probability is 20%.

The experimental probability will be:

= 4/(6+3+7+4)

= 4/20 = 1/5

Based on the given frequency, the experimental probability of selecting an orange marble will be:

= 5/(4+6+5)

= 5/15

= 0.33

The experimental probability of landing on a number less than 2 is 12 over 60.

The experimental probability of landing on heads will be:

= 98/(98 + 102)

= 98/200

= 49%

The theoretical probability of a fair coin landing on heads will be:

= 1/2 = 0.5

Flip a coin 14 times and record the frequency of each outcome gives:

Head, Tail, Head, Head, Head, Tail, Tail, Head, Tail, Tail, Tail, Tail, Head, Head. The theoretical and experimental probability are 0.5.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

Answer:

86.

Step-by-step explanation:

His total score is 99 + 85 + x where x is score on third test,

99 + 85 + x = 3 *90   (as his average must be 90, so:

184 + x = 270

x = 270 - 184

  =   86.

Answer:

86

Step-by-step explanation:

Let x be the required score for Lamar's third test in order to get an average of 90 or higher.

Start with the initial equation:

[tex]\frac{99+85+x}{3}\geq 90[/tex]

Simplify the numerator in the fraction:

[tex]\frac{184+x}{3}\geq90[/tex]

Multiply both sides by 3 to cancel out division on left side of equation:

[tex]184+x\geq 270[/tex]

Subtract 184 from both sides to isolate the x variable:

[tex]x\geq86[/tex]

Leaving us with x must be greater than or equal to 86.

Since this is the result of the second function, hence equations I and II are inverse of each other.

Inverse of a function

Inverse of a function is s a function that serves to undo another function. That is, if f(x) produces y, then putting y into the inverse of f produces the output x.

Given the function f(x) = 3x

Find its inverse

Replace with y with x

y = 3x

x =3y

Make y the subject of the formula

3y = x

y = x/3

Since this is the result of the second function, hence equations I and II are inverse of each other.

Learn more on inverse of a function here: https://brainly.com/question/2873333

#SPJ1

The equation s for each scenario in which case, the former, Prize A is represented as a linear equation while the latter, Prize B is represented as an exponential function are;

It follows from the task content that in scenario which pertains to Prize A, the initial price which represents the y-intercept is; $5,000 while the slope which represents the increase per month is; $100.

Consequently, we have; Prize A = $5,000 + $100m

While, for Prize B, in which case the function via exponential, we have;

Prize B = $2,000(1.1)^m.

Read more on linear and exponential functions;

https://brainly.com/question/725335

#SPJ1

Answer:

Step-by-step explanation:

A system of equations for the problem can be written using the two given relationships between quantities of brass alloys.

Let x and y represent the quantities in grams of the 65% and 90% alloys used, respectively. There are two relations given in the problem statement.

  x + y = 500 . . . . . . quantity of new alloy needed

  0.65x +0.90y = 0.75(500) . . . . . quantity of copper in the new alloy

These are the desired system of equations.

This problem does not ask for the solution, but it is easily found using substitution for x.

  x = 500 -y

  0.65(500 -y) +0.90y = 0.75(500)

  (0.90 -0.65)y = 500(0.75 -0.65) . . . . . . subtract 0.65(500)

  y = 500(0.10/0.25) = 200

  x = 500 -200 = 300

300 grams of 65% copper and 200 grams of 90% copper are needed.

Answer:

a) 7000

b) 20000

c) 300000

Rounding is the act of replacing a number with values that are an approximation.

Basic rounding rules:

1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 68 rounded to 1 significant figure would be 70.

2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 13 rounded to 1 significant fugue is 10.

3. Zero digits that come after a non zero digit are non significant. Example: 10000 only has 1 significant figure

Calculations:

A) 78 x 92 = 7176

The answer for A is 7000

B) 615 x 38 = 23370

Answer for B is 20000

C) 423 x 764 = 323172

Answer for C is 300000

[tex] - 5 + x = 2 \\ add \: 5 \: to \: both \: sides \\ x = 2 + 5 = 7[/tex]

[tex] - 5 x =2 \\ x = -2/5[/tex]

Assuming you're multiplying:

Answer:

Step-by-step explanation:

Comment

The simple answer is you should put something equivalent to -2/5 in the blank. This is what will happen,

-5 * - 2/5

The 5's will cancel out. The minus sign that was in front of the 5 will become positive because 2 minuses make a plus.

Another way to do the problem is to call the ___  = x

-5 x = 2                  Divide both sides by - 5

-5x/ -5 =  2/-5

x = - 2/5

It comes to the same thing.

A third way is just to multiply by - 0.4

-5 * -0.4 = 2

Answer:

c  0.5⁻ˣ

Step-by-step explanation:

The slowest rate is:

0.5⁻ˣ

Step-by-step explanation:

17, 21, 22, 26, 28, 31, 33, 41, 46, 52

min: 17

Q1: 26

median: 28

Q3: 31

max: 52

Answer:

4230.44

Step-by-step explanation:

The answer is True.

On differentiating using product rule,

[tex]\mathsf {\frac{d}{dx}[xe^{x}] = x(e^{x})+e^{x}(1)}[/tex]

[tex]\mathsf {\frac{d}{dx}[xe^{x}] = e^{x}(x + 1)}[/tex]

The general form of product rule :

[tex]\boxed {\frac{d}{dx}(ab) = a(b')+b(a')}[/tex]

The numbers which is greater than 70 but less than 100, not divisible by 10, not divisible by 4, not an odd number are 74, 78, 82, 86, 94, 98

A number greater than 70 but less than 100

71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 98

Not odd number

72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98

Not divisible by 10

72, 74, 76, 78, 82, 84, 86, 88, 92, 94, 96, 98

Not divisible by 4

74, 78, 82, 86, 94, 98

Therefore, the numbers which is greater than 70 but less than 100, not divisible by 10, not divisible by 4, not an odd number are 74, 78, 82, 86, 94, 98.

Learn more about even and odd numbers:

https://brainly.com/question/2263958

#SPJ1

Answer:

The first option:

[tex]6x^{2} -4x+6[/tex]

Step-by-step explanation:

Trust me I am right.

If you need work please ask!

Have a nice day!