Josh has $252 in his bank account. This is $12 more than 6 times the amount of money that sally has in her bank account. What equation can be used to represent the relationship between the amounts of money josh and sally have in their bank accounts？
A) 12x+6 = 252
B) 6x+12=252
C) 18x = 252
D) 6x-12=252

Answer:

The correct answer is B.

Step-by-step explanation:

it is 1000 because 2 x 5 =10 then just add the extra 2 0s from 20 and 50

Answer:

1,000

Step-by-step explanation:

Using compound interest, the rates per compounding period are given as follows:

a) 0.1273 = 12.73%.

b) 0.0833 = 8.33%

c) 0.0617 = 6.17%

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

The interest rate per compounding period is given as follows:

\(\left(1 + \frac{r}{n}\right)^n - 1\)

For item a, the parameters are:

r = 0.12, n = 52.

Hence:

\(\left(1 + \frac{0.12}{52}\right)^{52} - 1 = 0.1273\)

For item b, the parameters are:

r = 0.08, n = 104.

Hence:

\(\left(1 + \frac{0.08}{104}\right)^{104} - 1 = 0.0833\)

For item c, the parameters are:

r = 0.06, n = 12.

Hence:

\(\left(1 + \frac{0.06}{12}\right)^{12} - 1 = 0.0617\)

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Answer:

64

Step-by-step explanation:

4³ = 64

Answer:

A. (9,-5)

Step-by-step explanation:

Translation down is -2 to the y coordinate, which is (5,-5). Then you translate it right 4 units, which is +4 to the x coordinate, so the final coordinate is (9,-5).

The determinant of matrix A is therefore -28 because det(A) = 2 * (-2) * 7

To process the determinant of framework A utilizing rudimentary column tasks and properties of three-sided networks, we will perform line tasks to change the grid into a three-sided structure and afterward compute the determinant utilizing the property that the determinant of a three-sided lattice is the result of its inclining components.

Given the A matrix:

A = 2 1 2 -5 -4 -1 -4 2 3 First, we'll use row operations to add zeros below the diagonal:

The first row should be added twice to the second row:

R2' is equal to R2 plus 2R1 A' is equal to 2 1 2 0 -2 3 -4 2 3 Add two times the first row to the third row:

R3' = R3 + 2R1

A'' =

2 1 2

0 - 2 3

0 4 7

Presently, the lattice A'' is in upper three-sided structure, and the determinant can be determined as the result of the slanting components:

The determinant of matrix A is therefore -28 because det(A) = 2 * (-2) * 7

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Referral sampling is the method used to ensure that convenience samples will have the desired proportion of different respondent classes.

Convenience sampling is a non-probability sampling method that involves selecting participants who are readily available and easily accessible. However, convenience samples may not represent the entire population accurately, as they may introduce biases and lack diversity.

To address this limitation, referral sampling is often employed. Referral sampling involves asking participants from the convenience sample to refer other individuals who meet specific criteria or belong to certain respondent classes. By relying on referrals, researchers can increase the chances of obtaining a more diverse sample with the desired proportion of different respondent classes.

Referral sampling allows researchers to tap into the social networks of the initial convenience sample participants, which can help ensure a broader representation of the population. By leveraging the connections and referrals within the sample, researchers can enhance the diversity and representation of different respondent classes in the study, improving the overall quality and validity of the findings. Therefore, referral sampling is used as a means of ensuring that convenience samples will have the desired proportion of different respondent classes.

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a. The initial size of the bacteria colony is 1 gram.

b. The growth rate for this bacteria colony is 25% per day.

c. The size of the bacteria colony after t days is given by the equation S(t) = 1 * e^(0.25t) grams.

d. To find when the colony size reaches 5 grams, we need to solve the equation 5 = 1 * e^(0.25t) for t. Taking the natural logarithm of both sides and rearranging, we get t = ln(5)/0.25 ≈ 8.7 days.

e. The doubling time for this colony is approximately 2.77 days, which is found by solving the equation 2 = 1 * e^(0.25t) for t. Taking the natural logarithm of both sides and rearranging, we get t = ln(2)/0.25 ≈ 2.77 days.

The law of uninhibited growth states that the growth rate of a population is proportional to its size, and there are no limiting factors that affect the growth. In this problem, the size of the bacteria colony is modeled using an exponential function, where the initial size of the colony is 1 gram and the growth rate is 25% per day.

To find the size of the colony after a certain number of days, we can substitute the given value of t into the equation S(t) = 1 * e^(0.25t). For example, after 5 days, the size of the colony is S(5) = 1 * e^(0.25*5) ≈ 2.28 grams.

To find when the colony size reaches a certain value, we need to solve the exponential equation S(t) = 1 * e^(0.25t) = A, where A is the desired size. Taking the natural logarithm of both sides and rearranging, we get t = ln(A)/0.25. For example, to find when the colony size reaches 5 grams, we solve the equation 5 = 1 * e^(0.25t) for t and get t = ln(5)/0.25 ≈ 8.7 days.

The doubling time is the time it takes for the population to double in size. In this case, we need to solve the exponential equation 2 = 1 * e^(0.25t) for t. Taking the natural logarithm of both sides and rearranging, we get t = ln(2)/0.25 ≈ 2.77 days.

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Answer:

Hey there!

Choice A represents a function, because a function only has one y value for every x value.

Hope this helps :)

Answer:

A

Step-by-step explanation:

In a function, the x value can only go to one y value

B has x=5 going to y = 13 and y = 17

C had x = -3 with y values of 1 and -1

D has x = -4 going to y = 52 and 16

A each input has only one output value

The population size at t = 10 can be determined using the equation P(t) = 200ekt, given that P(2) = 100.

1. Start with the given equation: P(t) = 200ekt.

2. We are given that P(2) = 100. Substitute t = 2 and P = 100 into the equation: 100 = 200e2k.

3. Simplify the equation by dividing both sides by 200: e2k = 0.5.

4. Take the natural logarithm (ln) of both sides to isolate the exponent: ln(e2k) = ln(0.5).

5. Use the logarithmic property ln(e2k) = 2k to rewrite the equation: 2k = ln(0.5).

6. Divide both sides by 2 to solve for k: k = ln(0.5)/2.

7. Now that we have the value of k, substitute t = 10 into the original equation: P(10) = 200e( ln(0.5)/2 * 10).

8. Calculate the population size: P(10) = 200e( ln(0.5)/2 * 10) ≈ 20.180.

9. Therefore, the population size at t = 10 is approximately 20,180.

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To find the estimated project completion time for the given project activities, we need to first calculate the earliest start and earliest finish times and then the latest start and latest finish times.

Using the activity times given, we can calculate the earliest start and earliest finish times for each activity as follows: Activity A: Earliest start time = 0

Earliest finish time = 1

Activity B: Earliest start time = 2

Earliest finish time = 5

Activity C: Earliest start time = 5

Earliest finish time = 11

Activity D: Earliest start time = 11

Earliest finish time = 17

Activity E: Earliest start time = 5

Earliest finish time = 8 Activity F:

Earliest start time = 8

Earliest finish time = 17

Now we can calculate the latest start and latest finish times for each activity using the backward pass.

Latest finish time = 5

Latest start time = 2

Activity A: Latest finish time = 1

Latest start time = 0

Now we can calculate the slack time for each activity as follows:Activity A:

Slack time = 0

Activity B: Slack time = 0

Activity C: Slack time = 0

Activity D: Slack time = 0

Activity E: Slack time = 3

Activity F: Slack time = 0

The critical path for this project is A -> C -> D, since these activities have zero slack time. Therefore, the estimated project completion time is 17 units of time.

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the profit-maximizing quantity is 12.5 units and the corresponding price is $3912.5.

From the given information, we have the inverse demand function:

p = 775 - 375Q

The marginal revenue function can be obtained by taking the derivative of the inverse demand function with respect to quantity (Q):

MR = d(p) / dQ = -375

The marginal cost is given as MC = 30.

To determine the profit-maximizing quantity, we equate marginal revenue to marginal cost:

MR = MC

-375 = 30

Solving for Q, we find:

Q = -375 / 30

Q = -12.5

However, since negative quantities do not make sense in this context, we disregard the negative value and take the positive quantity:

Q = 12.5

Substituting this value of Q back into the inverse demand function, we can find the corresponding price (p):

p = 775 - 375Q

p = 775 - 375(12.5)

p = 775 - 4687.5

p = -3912.5

Again, since negative prices do not make sense, we disregard the negative value and take the positive price:

p = 3912.5

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Answer:

-2 and 7

Step-by-step explanation:

2×7=14

2-7=-5

this is what I got.

A. The acceleration due to gravity is represented by a negative number because it acts in the opposite direction of the upward motion of the projectile. It pulls the object downward, causing it to decelerate and eventually fall back to the ground.

B. The formula to represent the height of a projectile at any given time t is: h = (0.5 * a * t^2) + (v * t) + h0, where h is the height, a is the acceleration (-32 ft/s^2), t is the time, v is the initial velocity, and h0 is the initial height.

C. To find the time when the projectile is at a height of 320 feet, we can set h = 320 in the formula and solve for t. 320 = (0.5 * -32 * t^2) + (192 * t) + 0. Solve the quadratic equation to find the value of t.

D. To find the time it takes for the object to reach its maximum height, we need to find the time when the velocity becomes zero. Set v = 0 in the formula and solve for t. Then substitute the value of t into the formula to find the maximum height.

E. To find the time when the projectile lands on the ground, we need to find the time when the height becomes zero. Set h = 0 in the formula and solve for t.

F. If the initial velocity stays the same but the height the projectile is launched from changes, the amount of time it takes for the projectile to reach its maximum height will remain the same. However, the maximum height will change based on the initial height.

G. To increase the amount of time it takes for the projectile to return to the ground by one second, we need to find the height that corresponds to that additional time. Set the time to (t + 1) in the formula and solve for h. Subtract the initial height from the result to find the height above the ground from which the projectile needs to be launched.

Comment if you need more help!

~~~Harsha~~~

Answer:

I hope noth your pillows are cold tonight

I appreciate you doing this!!

Answer: experiment

Step-by-step explanation:

A course of perception that has an unsure result is alluded to as an experiment.

The study of mathematical objects by computing in order to discover their properties and patterns is known as experimental mathematics. It has been described as "that mathematical theory that concerns itself ultimately with both the convention and transmission of insights within the mathematical neighborhood through the use of experimental investigation of conjectures and also more irregular beliefs and just a careful analysis of the information acquired in this endeavor (in either the Galilean, Baconian, Aristotelian or Kantian sense).

The nineteenth century saw the reemergence of experimental mathematical concepts as a distinct field of study as the range of calculations that could be performed was greatly expanded by the development of the electronic computer, which could perform calculations at speeds and with levels of precision that were unimaginable to earlier generations of mathematicians.

A course of perception that has an unsure result is alluded to as an experiment.

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Answer:

y=1/5 x -4

Step-by-step explanation:

Basically, we first start with perpendicular. Note that 2 lines' that are perpendicular have product = -1. Thus, the slope of the line (in question) is 1/5.

Now, we know y = mx + b by slope intercept. Note that y intercept means (0,-4). Thus, plugging in give the answer.

Hope this helps! (Please mark brainliest :))

Answer:

need brainly point

Step-by-step explanation:

The probability that at least one of your lights is​ defective is .

The probability of precisely x successes on n repeated trials is known as a binomial probability, and X can only have two possible outcomes.

\(P(X=x)=^nC_rp^x(1-p)^{n-r}\)

Where \(^nC_r\) is the number of different combinations of x objects from a set of n elements and p is the probability.

Now, here 6% lights did not work, so

p=6/100=0.06

n=5

Now, finding the probability that at least one of your lights is​ defective. Either one bulb is defective or no one is defective.

\(P(X=0)+P(x\geq 1)=1\\P(x\geq 1)=1-P(X=0)\)

Now, finding probability of no defective,

\(P(X=0)=^5C_00.06^0(1-0.06)^{5}\\=0.7339\\P(X\geq 1)=1-0.7339\\=0.2661\)

Now, finding the percentage probability,

\(0.2661\times100=26.61\)%

Therefore, the probability that at least one of your lights is​ defective is 26.61%.

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The given question is incomplete here is the complete question:

You purchased a​ five-pack of new light bulbs that were recalled because 6​% of the lights did not work. What is the probability that at least one of your lights is​ defective?.

Answer:

13 - 6(2)

Step-by-step explanation:

I found this out because, since you have to subtract the 6 from the 13, the 13 will go first:

13 -

Then, you figure out what the 6 and two times means. It means 6 x 2, or 6(2):

13 - 6(2).

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 12 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

Hope it helped you brainiest plz and thank you!!

Step-by-step explanation:

To reflect a figure means Reflections it over a line.

Answer:

To reflect a figure means flip it over a line.

Step-by-step explanation:

To reflect a figure means flip it over a line, it is like looking in a mirror, your reflection is flipped in the opposite direction.

Answer:

2080.50 = 970.50 - 74p

Step-by-step explanation:

........

The correct option is option (a) $3,992.50. Pavi currently has a $3,992.50 credit on her current card.

The calculation of the provided data, according to the question, is as follows:

$8000 is the credit limit on the card.

Paid in Full = $2,500

$1,500 has been credited to the account.

The value of recent purchases made by Pavi is $3,000

Applied finance charges equal $7.50

The card's current balance is equal to $4,007.50.

Using the formula below, we can now determine the amount of credit that is now available on the card:

The credit line on the card = Available Credit - New Balance

By entering values into the formula provided, we obtain

Credit available on the current card: $8,000 - $4,007.50= $3,992.50.

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We can change the base formula by:

                           logₐ b = logₓ a /logₓ b

                                         OR

                           logₓ a, logₓ b = logₓ a

The change of base formula is used to change the base of a logarithm.  We know that "log" stands for a logarithm of base 10 and "ln" stands for a logarithm of base e. But there is no option to calculate the logarithm of a number with any other bases other than 10 and e.

The change of base formula solves this issue of changing base from e to 10, and from base 10 to e. Also, it is used in solving several logarithms problems.

Base Formula: -

The change of base formula is used to write a logarithm of a number with a given base as the ratio of two logarithms each with the same base that is different from the base of the original logarithm. This is a property of logarithms. You can see the change of base formula here.

Change of base formula

                            logₐ b = logₓ a /logₓ b

                                         OR

                            logₓ a, logₓ b = logₓ a

Change of Base Formula

Change of base formula can be represented as follows. Here the base of the given logarithm is also changed to a logarithm with a new base. The basic logarithm with a base is transformed to two logarithms with a new and same base. The change of base formula is:

                          logₐ  b = [logₐ x] / [logₐ y]

In this formula,

Change of Base Formula Derivation

Change of base formula derivation can be understood from the following steps. Let us assume that

log ₐ b = p, logₙ a = q, and logₙ b = r.

By converting each of these into exponential form, we get,

a = \(b^{p}\), a = \(x^{q}\), and b = \(n^{r}\)

From the first two equations,

\(x^{q}\) = \(n^{r}\)

Substituting b =  \(n^{r}\) (which is from third equation) here,

(\(n^{r}\))\(^{p}\) = \(x^{q}\)

\(n^{r}\))\(^{p}\) = \(x^{q}\)(Using a property of exponents)

p r = q

p = q / r

Substituting the values, we get,

logₐ  b = [logₐ x] / [logₐ y]
For Example:

Evaluate the value of log₆₄ 8 using the change of base formula.

Solution:

We will apply the change of base formula (by changing the base to 10). Note that log₁₀ is same as log.

log₆₄ 8 = [log 8] / [log 64]

            = [log 8] / [log 82]

            = [log 8] / [2 log 8]              [∵ log am = m log a]

            = 1 / 2

Answer: log₆₄ 8 = 1 / 2

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Answer:

1. 0.27 (with bar notation)

2. -7.6

Step-by-step explanation:

The sequence Xn = e^(i(U - Vn)) satisfies both the stationarity and spectral distribution function properties, confirming that it defines a stationary complex sequence with spectral distribution function F.

To show that the sequence Xn = e^(i(U - Vn)) defines a stationary complex sequence with spectral distribution function F, we need to demonstrate two properties:

1. Stationarity: The sequence Xn should be stationary, meaning its statistical properties remain invariant with respect to the time index n.

2. Spectral Distribution Function: The spectral distribution function of Xn should match the distribution function F of the random variable V.

Let's examine these properties one by one:

1. Stationarity:

To prove stationarity, we need to show that the statistical properties of Xn remain the same regardless of the time index n.

The expectation of Xn can be calculated as follows:

E[Xn] = E[e^(i(U - Vn))]

Since U and Vn are independent random variables, we can separate their expectations:

E[Xn] = E[e^(iU - iVn)]

     = E[e^(iU)] * E[e^(-iVn)]

Since Vn is independent of U and the distribution function F only depends on V, we have:

E[Xn] = E[e^(iU)] * E[e^(-iV)]

     = E[e^(iU)] * E[e^(-iV)]

     = constant

This shows that the expectation of Xn is independent of n, implying stationarity.

2. Spectral Distribution Function:

The spectral distribution function of Xn can be defined as the distribution of the random variable Y, given by:

Y = lim (N->∞) 1/N ∑ (n=1 to N) Xn

In our case, we have:

Y = lim (N->∞) 1/N ∑ (n=1 to N) e^(i(U - Vn))

To analyze the spectral distribution function, we need to consider the limiting behavior as N approaches infinity. We can rewrite the expression inside the summation as follows:

e^(i(U - Vn)) = e^(iU) * e^(-iVn)

Now, taking the limit as N approaches infinity:

lim (N->∞) 1/N ∑ (n=1 to N) e^(i(U - Vn))

= E[e^(iU)] * lim (N->∞) 1/N ∑ (n=1 to N) e^(-iVn)

Since the distribution function F depends on V, we can rewrite the above expression as:

E[e^(iU)] * lim (N->∞) 1/N ∑ (n=1 to N) F(Vn)

By definition, the limit term represents the integral of the distribution function F:

E[e^(iU)] * ∫ F(V) dV

Therefore, the spectral distribution function of Xn is given by F(V).

Hence, the sequence Xn = e^(i(U - Vn)) satisfies both the stationarity and spectral distribution function properties, confirming that it defines a stationary complex sequence with spectral distribution function F.

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The dot product of vectors x and y with magnitudes 5 and 4 units, respectively, is 20 units, indicating that they are parallel to each other and in the same direction.

From the given information, we know that the magnitudes of vectors x and y are 5 and 4 units, respectively, and their dot product is 20 units.

To find the angle between vectors x and y, we can use the formula:

cos(theta) = (x.y) / (|x| * |y|)

Substituting the given values, we get:

cos(theta) = 20 / (5 * 4)
cos(theta) = 1

This implies that the angle between vectors x and y is 0 degrees, which means that they are parallel to each other.

Thus, we can conclude that vectors x and y are parallel and in the same direction.



Given the magnitudes of vectors x and y and their dot product, we can determine their relationship and direction. The dot product is the product of their magnitudes and the cosine of the angle between them. Using this formula, we found that the angle between vectors x and y is 0 degrees, indicating that they are parallel to each other. Therefore, we can conclude that vectors x and y are parallel and in the same direction. This information can be useful in various mathematical and physical applications, such as determining the force required to move an object in a particular direction.



In conclusion, the dot product of vectors x and y with magnitudes 5 and 4 units, respectively, is 20 units, indicating that they are parallel to each other and in the same direction. This information can be useful in various mathematical and physical applications.

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By solving for the density of the two metal cubes, we can determine that the two metal cubes are not made from the same material.

Density, denoted by ρ, is a property of any substance that is defined as the ratio between the mass and volume of the substance.

ρ = m/v

where ρ = density

m = mass

v =  volume

Solving the density of each cube.

Cube 1 :

ρ = m/v

ρ = m/e^3

ρ = 43. 63 g/(3. 2 cm)^3

ρ = 1.3315 g/cm^3

Cube 2 :

ρ = m/v

ρ = m/e^3

ρ = 683. 5 g/(8. 34 cm)^3

ρ = 1.1783 g/cm^3

If two objects have the same density, then they are made from the same material. Since the density of the two cubes are not equal, then they are not made form the same material.

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It is true that (51)n+1 + n = O(lg n).

Select all the statements below which are TRUE.
The true statements are the following:

1. 2n + (2n)5 + n! = Ω(n!)
2. (2n)3 lg n + n2 lg3 n = θ(n3 lg n)
3. (51) n+1 + n = O(lg n)

Statement 1: 2n + (2n)5 + n! = Ω(n!)
We know that n! grows faster than 2n and (2n)5.

Hence, it is true that 2n + (2n)5 + n! = Ω(n!).

Statement 2: (2n)3 lg n + n2 lg3 n = θ(n3 lg n)
We know that the fastest-growing term in the above function is n3 lg n. Therefore, it is true that (2n)3 lg n + n2 lg3 n = θ(n3 lg n).

Statement 3: (51)n+1 + n = O(lg n)
Since 51 is greater than 1, we can say that (51)n+1 grows faster than n. Hence, it is true that (51)n+1 + n = O(lg n).

Note: The remaining statements are false.

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