Which of the following is a geometric sequence? *
A. 1, 3/2, 2
B. 1, 5, 10
C. 1, 1, 2
D. 3, 6, 12

Answer: A. Factor 2 => 4x greater

                   Factor 3 => 9x greater

                   Factor 5 => 25x greater

Step-by-step explanation: A. A cylinder is formed by 2 circles and a rectangle in the middle. That's why surface area is given by circumference of a circle, which is the length of the rectangle times height of the rectangle, i.e.:

A = 2.π.r.h

A cylinder of radius r and height h has area:

\(A_{1}\) = 2πrh

If multiply both dimensions by a factor of 2:

\(A_{2}\) = 2.π.2r.2h

\(A_{2}\) = 8πrh

Comparing \(A_{1}\) to \(A_{2}\) :

\(\frac{A_{2}}{A_{1}}\) = \(\frac{8.\pi.rh}{2.\pi.rh}\) = 4

Doubling radius and height creates a surface area of a cylinder 4 times greater.

By factor 3:

\(A_{3} = 2.\pi.3r.3h\)

\(A_{3} = 18.\pi.r.h\)

Comparing areas:

\(\frac{A_{3}}{A_{1}}\) = \(\frac{18.\pi.r.h}{2.\pi.r.h}\) = 9

Multiplying by 3, gives an area 9 times bigger.

By factor 5:

\(A_{5} = 2.\pi.5r.5h\)

\(A_{5} = 50.\pi.r.h\)

Comparing:

\(\frac{A_{5}}{A_{1}}\) = \(\frac{50.\pi.r.h}{2.\pi.r.h}\) = 25

The new area is 25 times greater.

B. By analysing how many times greater and the factor that the dimensions are multiplied, you can notice the increase in area is factor². For example, when multiplied by a factor of 2, the new area is 4 times greater.

The number of eggs, Bridget collect from the chickens this morning is 28.

Given that, Bridget collected the eggs her chickens had laid and gave ½ to her neighbor.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The equation for the given situation is (e/2)-6=8

⇒ e/2 = 8+6

⇒ e/2 = 14

⇒ e = 28

Hence, the number of eggs, Bridget collect from the chickens this morning is 28.

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The number of eggs will be 28, which Bridget collected from the chickens this morning.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Given that, Bridget collected the eggs her chickens had laid and gave ½ to her neighbor.

The equation below represents Bridget's original collection.

⇒ (e/2) - 6 = 8

⇒ e/2 = 8 + 6

Apply the addition operation,

⇒ e/2 = 14

Multiply by 2 into both sides of the above equation

⇒ 2 × e/2 = 2 × 14

⇒ e = 28

Therefore, the number of eggs will be 28, which Bridget collected from the chickens this morning.

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The differential equation dy/dx = 3x² - 2 with f(-1) = 2 is y = x³ - 2x + 1To solve this differential equation, we need to integrate both sides with respect to x.

dy/dx = 3x² - 2

Integrating both sides:

∫dy = ∫(3x² - 2)dx

y = x³ - 2x + C

Here, C is the constant of integration that we need to find. To do that, we can use the initial condition f(-1) = 2.

Substituting x = -1 and y = 2 in the equation:

2 = (-1)³ - 2(-1) + C

2 = -1 + 2 + C

C = 1

Therefore, the solution to the differential equation is:

y = x³ - 2x + 1

To overlay this solution on a slope field for the differential equation, we need to first draw the slope field. We can do this by calculating the slopes at different points in the x-y plane.

Using the differential equation, we know that the slope at any point (x, y) is given by:

dy/dx = 3x² - 2

We can draw arrows with slopes equal to 3x² - 2 at various points in the plane to get the slope field.

Once we have the slope field, we can overlay the solution y = x³ - 2x + 1 on it by plotting the curve y = x³ - 2x + 1 and checking if the direction of the curve matches the arrows in the slope field.

Overall, the solution to the differential equation dy/dx = 3x² - 2 with f(-1) = 2 is y = x³ - 2x + 1, and we can overlay this solution on the slope field to visualize the behavior of the solution at different points in the plane.

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Answer:

Step-by-step explanation:

since GCF(162,108,180)=18

and you have not mentionned it was the maximum of arrangements you want:

\(\begin{array}{c|c|c|c}\#arrangement&\#Roses&\#Dahlias&\#Tulips\\-------&-------&-------&-------\\1&162&108&180\\2&81&54&90\\3&54&36&60\\6&27&18&30\\9&18&12&30\\18&9&6&10\\-------&-------&-------&-------\\\end {array}\)

If G is not a PRG, then Construction 3.17 cannot be EAV-secure. This shows the contrapositive of Theorem 3.18.

To prove the opposite, we need to show that if G is not a pseudorandom generator (PRG), then Construction 3.17 cannot be EAV-secure (indistinguishable encryptions in the presence of an eavesdropper).

Let's assume that G is not a PRG. This means that there exists some efficient algorithm D that can distinguish the output of G from random strings with non-negligible advantage. We will use this assumption to construct an adversary A that can break the EAV-security of Construction 3.17.

The adversary A works as follows:

1. A receives a security parameter n.

2. A runs the key generation algorithm Gen and obtains the key k.

3. A chooses two distinct messages m0 and m1 of length ℓ(n).

4. A computes the ciphertexts c0 = G(k) ⊕ m0 and c1 = G(k) ⊕ m1.

5. A chooses a random bit b and sends cb to the challenger.

6. The challenger encrypts cb using the encryption algorithm Enc with key k and obtains the ciphertext c*.

7. A receives c* and outputs b' = D(G(k) ⊕ c*).

8. If b = b', A outputs 1; otherwise, it outputs 0.

We analyze the probability that A can distinguish between encryptions of messages m0 and m1. Since G is not a PRG, D has a non-negligible advantage in distinguishing G's output from random strings. Therefore, there exists a non-negligible function negl such that:

|Pr[D(G(k)) = 1] - Pr[D(U) = 1]| ≥ negl(n),

where U denotes a truly random string of length ℓ(n).

Now, consider the probability of A winning the PrivK game:

Pr[PrivK_A,Π

eav

(n) = 1] = Pr[b = b']

           = Pr[D(G(k) ⊕ c*) = D(G(k))]

           = Pr[D(G(k)) = 1]

           ≥ Pr[D(U) = 1] - negl(n).

Since negl(n) is non-negligible, we have:

Pr[PrivK_A,Π

eav

(n) = 1] ≥ 2^(-1) + negl(n).

Thus, if G is not a PRG, then Construction 3.17 cannot be EAV-secure. This shows the contrapositive of Theorem 3.18.

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It is given that the function g(x) is the inverse of f(x) so it follows:

It is given that f(-4)=9 so it follows:

So the value of g(9)-3f(-4) is given by:

Hence the value is -31.

Answer:

1= 70

2=110

3=46

4= 102

5= 37

Step-by-step explanation:

Answer:

Your doing it correct in the picture just verification

Step-by-step explanation:

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{3}} x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

well, we know that "m"  is perpendicular to the line above, so that means that line "m" has a slope of

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{-\cfrac{2}{3}} ~\hfill \stackrel{reciprocal}{-\cfrac{3}{2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{-2}\implies \cfrac{3}{2}}}\)

keeping in mind that parallel lines have exactly the same slope, and since we know that "n" is parallel with "m", that means that if "m" has a slope of 3/2 than "n" must have the same slope.

so we're really looking for the equation of a line whose slope is 3/2 and passes through (4 , -3)

\((\stackrel{x_1}{4}~,~\stackrel{y_1}{-3})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{3}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{3}{2}}(x-\stackrel{x_1}{4}) \\\\\\ y+3=\cfrac{3}{2}x-6\implies y=\cfrac{3}{2}x-9\)

Answer: 15 - 6i

Step-by-step explanation:

3(5-2i)

3×5+3×(−2i)

Do the multiplications.

15−6i

Answer:

24281

Step-by-step explanation:

pumpkin= 17097 + lemon

pumpkin = 17097+ 7184

therefore: pumpkin= 24281

Answer:

the 7 pairs of earings because you can buy more for just $1 extra that just geeting 1 thing. that is what i think

Andrew is correct because 60 is the highest whole number that can round to 60. Any number higher than 60 will round up to a higher number. For example, 61 will round up to 70, and 62 will round up to 70. Therefore, 60 is the greatest whole number that rounds to 60.

The highest whole number is infinity, as there is no limit to how high a number can be. Whole numbers are all the numbers that are greater than or equal to 0, including 0 itself. The highest whole number is therefore infinity, as this is the highest possible number.

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Answer: 48 degrees

Step-by-step explanation:

Angle 2 and 4 are vertical angles and therefore equal.

Thus, angle 4 is 48 degrees as well.

Answer:

6.4

Step-by-step explanation:

70.4/11

= 6.4

Answer:

f≤3

Step-by-step explanation:

When given questions like these, the easiest thing to do is plug in the answers until you get a true statement

1) The sequence S is: 9, 12, 15, 18.

2) The types of sequences are:

a) Sequence a is increasing.

b) Sequence 200, 130, 130, 90, 90, 43, 43, 20 is non-decreasing.

1) The sequence S is defined as sn = 3n + 3 * 2. To find the values of S, we can substitute different values of n into the equation:

S1 = 3(1) + 3 * 2 = 3 + 6 = 9

S2 = 3(2) + 3 * 2 = 6 + 6 = 12

S3 = 3(3) + 3 * 2 = 9 + 6 = 15

S4 = 3(4) + 3 * 2 = 12 + 6 = 18

So, the sequence S is: 9, 12, 15, 18.

2) Let's determine the type of the sequences:

a) Sequence a = 2/1, 131.

- This sequence is increasing since the terms are getting larger.

b) Sequence 200, 130, 130, 90, 90, 43, 43, 20.

- This sequence is non-decreasing since the terms are either increasing or staying the same (repeated).

To summarize:

a) Sequence a is increasing.

b) Sequence 200, 130, 130, 90, 90, 43, 43, 20 is non-decreasing.

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Answer:

The rules for standard form are

Small numbers can also be written in standard form. However, instead of the index being positive (in the above example, the index was 3), it will be negative. The rules when writing a number in standard form is that first you write down a number between 1 and 10, then you write × 10(to the power of a number)

I hope this helps

Answer:

False

Step-by-step explanation:

Please Mark me brainliest

Answer:

is it like this?

Step-by-step explanation:

(2x-5)(2x-1)

2x(2x-1)-5(2x-1)

4x²-2x-10x-5

4x²-12x-5

that is the final answer

Given, expression is not trinomial.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

To express the expression (2x-5)(2x-1) as a trinomial,

we need to multiply the two binomials together using the distributive property.

We can use the FOIL method to do this:

(2x-5)(2x-1) = 2x(2x) + 2x(-1) - 5(2x) - 5(-1)

Simplifying this expression, we get:

(2x-5)(2x-1) = 4x² - 2x - 10x + 5

Combining like terms, we get:

(2x-5)(2x-1) = 4x² - 12x + 5

Since, trinomial is ax³ +bx² +cx +d in standard form where a can not be zero.

Therefore, the binomial form of (2x-5)(2x-1) is 4x^2 - 12x + 5, and given, expression is not trinomial.

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Answer: 10 is your answer bud ❤

The estimated age of the archaeological sample  as calculated from the given data is  = 2622.58333 years

Half life given is 5730

t₆.₅ = Ln2/k

k= ln 2/ 5730

The rate constant ,

k = 0.00012 year⁻¹

Given that 73 % of the 14C remains

then |A1|/|A2|  = 0.73

As we know ,

|A1|/|A2| = e ⁻₍kt₎

Hence, on solving the equation we get ,

ln(0.73)= -0.00012t

t = -0.31471/ -0.00012

 = 2622.58333 years

Half-life (symbol t½) is the time required for a quantity (of substance) to reduce to half of its initial value. The term is commonly used in nuclear physics to describe how quickly unstable atoms undergo radioactive decay or how long stable atoms survive. The term is also used more generally to characterize any type of exponential (or, rarely, non-exponential) decay.

For example, the medical sciences refer to the biological half-life of drugs and other chemicals in the human body. The converse of half-life (in exponential growth) is doubling time.

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Answer:

Caterina pays $24.08

Step-by-step explanation:

60.20/5=12.04

12.04x2=24.08

Answer:

24.08

Step-by-step explanation:

first you divide 60.20 to 5 which is 12.04 then you multiply that by 2 which is 24.08

Answer:

455 mph (miles per hour)

Step-by-step explanation:

65 x 7 = 455

Sorry if it is short. I wanna get as much answers before Exam Mode starts.

To design a simulation to model the genders of the couple's 4 children, we can assign the value 0 for a male child and 1 for a female child.

Here's an example of a simulation involving 55 trials:

Trial 1: 0 1 0 1

Trial 2: 1 0 1 1

Trial 3: 0 0 1 0

...

Trial 55: 1 1 0 1

In each trial, we randomly assign a gender (0 or 1) to represent the child's gender. This simulation assumes that the gender of each child is independent and equally likely. By running 55 trials, we can generate different combinations of genders for the 4 children and observe the variability in the outcomes. This simulation helps us understand the random nature of gender assignment in the couple's plan to have 4 children.

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The cooking time for Erica's 7-pound roast is 196 minutes.

To determine the cooking time for Erica's 7-pound roast, we can set up a proportion based on the relationship between the weight of the roast and the cooking time.

Let's assume that the cooking time is directly proportional to the weight of the roast. Therefore, the proportion can be set up as follows:

(Weight of 3-pound roast)/(Cooking time for 3-pound roast) = (Weight of 7-pound roast)/(Cooking time for 7-pound roast)

Using the values given in the problem, we can substitute the known values into the proportion:

(3 pounds)/(84 minutes) = (7 pounds)/(x minutes)

To solve for x, we can cross-multiply and then solve for x:

3 * x = 7 * 84

3x = 588

x = 588/3

x = 196

It's important to note that cooking times can vary depending on factors such as the type of oven and desired level of doneness. It is always a good idea to use a meat thermometer to ensure that the roast reaches the desired internal temperature, which is typically around 145°F for medium-rare to 160°F for medium.

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The measure of each angle is given below:

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively.

Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

The measure of angles {contd.} is:

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Answer:

If the selling price is marked up by 25 percent, the new price will be $10.

If the selling price is marked up by 70 percent, the new price will be $13.60.

If the selling price is marked up by 75 percent, the new price will be $14.

Step-by-step explanation:

8 divided by 4 is 2 so 25% is 8+2+= 10

8 divided by 4 is 2 so 75% is 8+(3 x 2)=  8+6= 14

Answer:

If the selling price is marked up by 25 percent, the new price will be $10.

If the selling price is marked up by 70 percent, the new price will be $13.60.

If the selling price is marked up by 75 percent, the new price will be $14.

Step-by-step explanation:

8 divided by 4 is 2 so 25% is 8+2+= 10

8 divided by 4 is 2 so 75% is 8+(3 x 2)=  8+6= 14

IM JUST CONFIRMING THAT THE ANSWER ABOVE IS RIGHT DONT MARK ME BRAINLIEST!