Select the correct answer.
Consider the geometric sequence.

8, 4, 2, 1, . . .

Given that the sequence is represented by function f, what are the values of f(1) and the common ratio?


f(1) = 8
Common ratio: 0.5

f(1) = 4
Common ratio: 2

f(1) = 4
Common ratio: 0.5

f(1) = 8
Common ratio: 2

The place value of 4 in 49.012.

It should be noted that place value is simply used to know the value of a number based on how the number is arranged.

In this case, the place value of 4 in 49.012 is 4 tens.

It should be noted that 4 tens is also the same thing as 40.

Therefore, the correct option is 40.

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Answer: 26

Step-by-step explanation:

Just replace y with 15 and j with 7

15 - 7 + (6 x 3)

8 + 18

26

according to the question the limit is 2i + 1.

We can use L'Hopital's rule to evaluate this limit:

lim t → 0 e^4ti sin(2t) / (2t e^(-3t))

Taking the derivative of the numerator and denominator with respect to t, we get:

lim t → 0 [4i e^4ti sin(2t) + 2 e^4ti cos(2t)] / (2 e^(-3t) - 3t e^(-3t))

Plugging in t = 0, we get:

[4i + 2] / 2 = 2i + 1

what is L'Hopital's rule?

L'Hopital's rule is a mathematical theorem that provides a method to evaluate limits of indeterminate forms, which are expressions that cannot be directly evaluated by substitution. The rule states that if the limit of a quotient of two functions is an indeterminate form of type 0/0 or ∞/∞, then under certain conditions, the limit of the quotient of the derivatives of the numerator and denominator as x approaches the limit point is equal to the original limit.

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According to the question we have our assumption must be false and there are indeed infinitely many primes of the form 4k+3.

To prove that there are infinitely many primes of the form 4k+3, where k is a nonnegative integer, we can use a proof by contradiction. Assume that there are only finitely many primes of this form, say p1, p2, p3, ..., pn.

Consider the number N = 4(p1p2p3...pn) - 1. This number is of the form 4k+3, since the product of primes is also of this form.

Now, any prime factor of N must also be of the form 4k+3, since any prime factor of N cannot be 2 (since N is odd) and it cannot be of the form 4k+1 (since N leaves a remainder of 3 when divided by 4).

However, this contradicts our assumption that p1, p2, p3, ..., pn are the only primes of the form 4k+3, since N is a prime greater than pn and is also of this form.

Therefore, our assumption must be false and there are indeed infinitely many primes of the form 4k+3.

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To calculate the monthly principal + interest payments for a house with a down payment and a mortgage using an Excel formula, you can use the PMT function. Here's how:

Calculate the loan amount by subtracting the down payment from the house cost. In this case, the down payment is 25% of $300,000, so it would be $75,000.
  Loan Amount = $300,000 - $75,000 = $225,000    

Determine the monthly interest rate by dividing the annual interest rate by 12. In this case, the annual interest rate is 2.75%, so the monthly interest rate would be 2.75% / 12 = 0.00229.

Determine the loan term in months. Since it's a 30-year mortgage, the loan term would be 30 * 12 = 360 months.

Use the PMT function in Excel to calculate the monthly principal + interest payment.
  Monthly Payment = -PMT(0.00229, 360, 225000)

The negative sign is used because the payment is an outgoing cash flow.

By using this formula in Excel, you can find the monthly principal + interest payments for your mortgage. Remember to adjust the interest rate, loan amount, and loan term if they differ from the example provided.

To calculate the monthly principal + interest payments using an Excel formula, you can use the PMT function by inputting the appropriate parameters: the monthly interest rate, loan term in months, and loan amount.

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Answer:

B

Step-by-step explanation:

Wayne's Actual ACT score is 19.2 where mean is 21, standard deviation is 5 and the Z - score is -0.6.

Standard Deviation:

Standard deviation is  a measure of the dispersion of a set of numerical values from their mean.

The general form of the standard deviation is,

\(SD=\sqrt{\frac{\sum (x_i-\bar{x})}{n} }\)

where

xi is each value in the data set,

x-bar is the mean, and

n is the number of values in the data set.

Given,

Mean = 21.

Standard deviation = 5

Wayne's standardized score on the act = −0.6 .

Here we need to find the Wayne's Actual ACT score.

Let x be the Wayne's Actual ACT score.

So,
=> z-score = (x - mean)/SD

Apply the values on it,

=> -0.6 = (x - 21) / 3

=> -1.8 = x - 21

=> x = 21 - 1.8

=> x = 19.2

Therefore, Wayne's Actual ACT score is 19.2

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Answer:

\(t=1.8g\)

Step-by-step explanation:

When the tip increases the number of guests increases as well.

\(t =kg\)

k is the proportionality constant.

\(t=1.8g\)

Answer:

Its A

Step-by-step explanation:

I got you homie

Answer:

A

Step-by-step explanation:

Answer:

We have the problem:

|3r−15| if r<5

First we see the equality, if r = 5 we have:

I3r - 15I = I3*5 - 15I = I0I = 0.

Then the only restriction that we have is:

I3r - 15I > 0.

now, we could simplify it a bit further:

if r < 5, then the thing inside the absolute value will always be negative:

Then we can write:

I3*r - 15I = -(3*r -15) > 0

multiplying by -1 in both sides

(3r - 15) < 0.

if we keep simplifying this, we will get our initial restriction:

3r - 15 < 0

3r < 15

r < 15/3 = 5

r < 5

The percent decrease in gas price from $4.37 to $3.62 is approximately 17.17%. Yes, Alice and Jim will have enough cash to buy the boat with $56,274 in savings at year's end.

A) To calculate the percent decrease, we need to find the difference in price and express it as a percentage of the original price.

The original price was $4.37 per gallon, and it decreased by $0.75.

The difference is $4.37 - $0.75 = $3.62.

To find the percent decrease, we divide the difference by the original price and multiply by 100:

Percent decrease = ($0.75 / $4.37) * 100 ≈ 17.17%

Therefore, the percent decrease in gas price is approximately 17.17%.

B) Let's calculate the monthly budget for Jim and Alice:

Jim's monthly budget:

Food and lodging: 49% of $2,100 = $1,029

Entertainment: 10% of $2,100 = $210

Educational: 10% of $2,100 = $210

Alice's monthly budget:

Food and lodging: 49% of $3,300 = $1,617

Entertainment: 10% of $3,300 = $330

Educational: 10% of $3,300 = $330

To find the total savings over a year, we subtract the total budget from their combined monthly income:

Total monthly budget = Jim's monthly budget + Alice's monthly budget

= ($1,029 + $210 + $210) + ($1,617 + $330 + $330)

= $1,449 + $2,277

= $3,726

Total savings over a year = Total monthly income - Total monthly budget

= 12 * ($2,100 + $3,300) - $3,726

= $60,000 - $3,726

= $56,274

The total savings over a year amount to $56,274.

Since the boat costs $18,000, Alice and Jim will have enough cash to buy the boat with some savings remaining.

Therefore, Alice and Jim will have enough cash to buy the boat at year's end.

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Answer:

D

Step-by-step explanation:

this is so easy just plug the question in

Answer:

D.y= mx + b

Step-by-step explanation:

Slope-intercept is a specific form of linear equations. It has the following general structure

y= mx + b

Here, m can be any two real numbers. For example, these are linear equations in slope-intercept form:

y=2x+1

y=-3x+2.7y

y=10-100x

On the other hand, these linear equations are not in slope-intercept form:

2x+3y=5

y-3=2(x-1)y−3=2(x−1)

x=4y−7

Slope-intercept is the most prominent form of linear equations

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Answer:

22.2 miles + 36.8 miles = 59 miles

Step-by-step explanation:

Answer:

Your correct answer is ZERO.

Step-by-step explanation:

6u - 5u = u

u - u = 0

**please mark brainliest!!

When receiving ammunition, unit personnel perform three tasks: ensuring items requested match item numbers on DA Form 3151-R, loading and securing the ammunition, and placarding the vehicle.

The first task performed by unit personnel when receiving ammunition is to ensure that the items requested match the item numbers on DA Form 3151-R. This form serves as a record of the types and quantities of ammunition being received. By comparing the requested items with the item numbers on the form, personnel ensure accuracy and prevent any discrepancies or errors in the delivery.

The second task involves the loading and securing of the ammunition. Unit personnel are responsible for safely and efficiently loading the ammunition onto the designated vehicle or storage area. This includes following proper handling procedures, using appropriate equipment, and adhering to safety protocols. The ammunition must be securely stored and arranged to prevent shifting or damage during transportation.

The final task is to placard the vehicle. Placarding involves visibly displaying the necessary warning signs or labels on the vehicle that indicate the presence of ammunition. This step is crucial for safety and compliance purposes, as it alerts other personnel and drivers to exercise caution when approaching or handling the vehicle. Clear and prominent placarding helps prevent accidents and ensures that everyone involved is aware of the potential hazards associated with transporting ammunition.

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The only integer that is both prime and even is 2. Therefore, the answer is C, 2.

To explain further, a prime integer is a positive integer greater than 1 that has no positive integer divisors other than 1 and itself. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and so on.

On the other hand, an even integer is an integer that is divisible by 2, which means it leaves no remainder when divided by 2. The first few even numbers are 2, 4, 6, 8, 10, 12, 14, 16, 18, and so on.

Therefore, the only integer that is both even and prime is 2, since it is divisible by 2 and has no positive integer divisors other than 1 and itself.

In summary, the answer to the question is C, 2, since it is the only integer that belongs to both the set of prime integers and the set of even integers.

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Answer:

4

Step-by-step explanation:

an=-4+3(n-1)=-4+3n-3=3n-7

a1=3×1-7=3-7=-4

a5=3×5-7=15-7=8

a1+a5=-4+8=4

Answer:

Given h(x) = -x + 2, find h(4).

Step-by-step explanation:

Answer:

Graph A

Step-by-step explanation:

Because the inequality is

\( \leqslant or \geqslant \)

it means the line will be solid, not dashed. Also, because the y variable is on the less than side of the equation, it means the shaded are will be under the line.

The polynomial is not a perfect square trinomial. This is false..

It should be noted that a perfect squares trinomial is the algebraic expression which has the form of ax² + bx + c.

The equation given is 9x² - 30x + 25. This will be expanded as:

9x² - 30x + 25.

9x² - 15x - 15x + 25

3x(3x - 5) - 5(3x - 5)

= (3x - 5)(3x - 5)

In this case, 9x² - 30x + 25 is a perfect square binomial of 3x - 5 and not a trinomial.

Therefore, the correct option is false.

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Answer:

check: 50+160+130+20 = 360

50:160 = 5 : 16

Step-by-step explanation:et the smaller of the unknown angles be 5x and the larger of the two be 16x

so 130+20+5x+16x = 360

21x = 210

x = 10

so the two missing angles are 50° and 160°

check: 50+160+130+20 = 360

50:160 = 5 : 16

Answer:

12.5%

Step-by-step explanation:

8 / 64*100 =

(8 * 100) / 64 =

800 / 64 = 12.5

Hope this helped buddy! :D

Answer:

total memory = 8 GB + 64 GB

= 72 GB

extra memory = 64 GB

so percentage increase of memory

= ( 64 GB / 72 GB ) × 100

= 88.89 %

Step-by-step explanation:

Hey there!

Given;

\( = 5 {x}^{2} + 17x + 6\)

Solve it through mid-term factorization.

\( = 5 {x}^{2} + (15 + 2)x + 6\)

Simplify it.

\( = 5 {x}^{2} + 15x + 2x + 6\)

\( = 5x(x + 3) + 2(x + 3)\)

\( = (5x + 2)(x + 3)\)

Therefore the factors are; (5x+2) (x+3).

Hope it helps...

The head circumference of a newborn boy who marks the start of the 75th percentile is approximately 35.38 cm.

To find the head circumference of a newborn boy who marks the start of the 75th percentile, we need to first find the z-score corresponding to the 75th percentile using the standard normal distribution.

The z-score formula is

z = (x - μ) / σ

where x is the observed value, μ is the mean, and σ is the standard deviation.

To find the z-score that corresponds to the 75th percentile, we need to look up the z-score associated with a cumulative area of 0.75 under the standard normal distribution curve. This value can be found using a table or calculator and is approximately 0.674.

Now we can use the formula for the z-score to solve for the head circumference of a newborn boy at the 75th percentile

z = (x - μ) / σ

0.674 = (x - 34.5) / 1.3

0.674 × 1.3 = x - 34.5

0.8762 + 34.5 = x

x = 35.3762

x ≈ 35.38 cm

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Option (c) is true i.e. y is not a function of x, since the x-values do not correspond to exactly (precisely) one y-value.

A function in mathematics from a set X to a set Y allocates exactly (precisely) one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

The items that make up a set are referred to as its elements (or members), and the set is said to contain the elements when they are claimed to belong to it.

The mapping shows a relationship between x and y in this mapping is y is not a function of x, since the x-values do not correspond to exactly one y-value.

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For the purpose of content marketing, the strategies portion of strategic planning focuses on how content marketing can help achieve certain goals and objectives.

This is because strategies are the overarching plans that guide the actions and decisions of a content marketing program.

A content marketing strategy defines the target audience, key messages, channels, and metrics for success. It outlines how content will be created, distributed, and measured in order to achieve specific business objectives.

The tactics portion of strategic planning is more focused on the specific actions and initiatives that will be taken to execute the strategy. Tactics might include things like social media campaigns, email marketing, webinars, or video production. While tactics are important, they should always be guided by the overarching strategy in order to ensure that they are aligned with business goals and objectives.

Messages are the specific pieces of content that are created as part of a content marketing program. While messages are important for engaging the audience and driving action, they are not the primary focus of strategic planning. Finally, situational analysis is an important step in the planning process, but it is not specific to content marketing. A situational analysis is a broad assessment of the business environment and competitive landscape, which is used to inform overall business strategy.

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complete question:

For the purpose of content marketing, the ______ portion of strategic planning focuses on how content marketing can help achieve certain goals and objectives.A) strategiesB) tacticsC) messagesD) situational analysis

Answer:

good night

sweet dreams