What is 4N? I am very confused

Answer:

f(5) = -10

Step-by-step explanation:

Let's go through the calculation step by step to find the value of f(5) using the given recursive formula f(n) = f(n-1) - 3.

Start with the initial value f(1) = 2, as given in the problem.

To find f(2), we use the recursive formula f(n) = f(n-1) - 3. Since n = 2, we have f(2) = f(1) - 3. Plugging in the value of f(1) as 2, we get f(2) = 2 - 3 = -1.

Continuing the pattern, we find f(3) = f(2) - 3 = -1 - 3 = -4. We subtract 3 from the previous term f(2) to obtain f(3).

Moving on, f(4) = f(3) - 3 = -4 - 3 = -7. Again, we subtract 3 from the previous term f(3) to calculate f(4).

Finally, f(5) = f(4) - 3 = -7 - 3 = -10. Following the recursive formula, we subtract 3 from the previous term f(4) to determine f(5).

Therefore, the value of f(5) is -10.

Hope this helps!

when calculating present value, the _____ interest rate, the smaller the present value amount.

* smaller

* larger,✓

The correct value is,

''When calculating present value, the smaller the interest rate, the smaller the present value amount.''

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

To calculating the present value, The smaller the present value.

Now,

The correct value is,

''When calculating present value, the smaller the interest rate, the smaller the present value amount.''

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Answer:

C

Step-by-step explanation:

The rate that is equivalent to the rate at which John drove to San Antonio is 60 miles per hour

From the question, we have the following parameters that can be used in our computation:

John drove from here to San Antonio which is 180 miles away in 3 hours.

This means that

Distance = 180 miles

Time = 3 hours

Using the above as a guide, we have the following:

Speed = Distance/Time

Substitute the known values in the above equation, so, we have the following representation

Speed = 180/3

Evaluate

Speed = 60

Hence. the rate that is equivalent to the rate at which John drove to San Antonio is 60 miles per hour

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Answer:

miss him :(

Step-by-step explanation:

Answer:

:( RIP

Step-by-step explanation:

The equation of the parabola in vertex form is y = (1/4)x² - 2.

A parabola is a symmetrical curve with a U- or smile-shaped shape. It is a particular kind of conic section, a shape created by cutting a cone with a plane.

The set of all points in a plane that are equally distant from a fixed point (referred to as the focus) and a fixed line is known as a parabola (called the directrix).

The vertex form of the equation of a parabola with vertex (h,k) is given by:

y = a(x - h)² + k

where "a" is a constant that determines whether the parabola opens up or down (if "a" is positive, the parabola opens up, and if "a" is negative, the parabola opens down).

We are given that the vertex of the parabola is (0,-2), so we have:

h = 0 and k = -2

We are also given that the parabola passes through the point (-8,14). We can use this information to find the value of "a". Substituting the coordinates of the point into the equation, we get:

14 = a(-8 - 0)² - 2

Simplifying:

14 = 64a - 2

16 = 64a

a = 16/64

a = 1/4

Now that we have found the value of "a", we can write the equation of the parabola in vertex form:

y = (1/4)x² - 2

Therefore, the equation of the parabola in vertex form is y = (1/4)x² - 2.

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if u want to find x replace y with zero if you want to write it in slope intercept form then it will be y=2x+8

Answer:

20 units

Step-by-step explanation:

Given: Bases of the trapezoid

To find: Length of midsegment

Solution: Formula for length of midsegment of a trapezoid is given as:

The point (-17, -87) belongs to the third quadrant

From the question, we have the following parameters that can be used in our computation:

Point = (-17, -87)

In the above point, we have

x = -17 and y = -87

This means that the x and the y coordinates are negative

The quadrant where the x and the y coordinates are negative is the third quadrant

Hence, the point is in the third quadrant

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The pressure at 100ft is 4.03 atm

What are linear equations?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

Given, the pressure function, p(d) = 1 + d/33, where d is the depth in feet

Also, p(0) = 1 + 0/33

= 1 + 0

= 1 atm

p(33) = 1 + 33/33

= 1 + 1

= 2 atm

Now, we have to calculate pressure at 100ft. To calculate, we are taking d=100 and substitutng in the equation p(d) = 1 + d/33.

∴ p(100) = 1 + 100/33

= 1 + 3.03

= 4.03 atm

The pressure at 100ft is 4.03 atm

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Complete Question:

Based on data from the U.S. Census Bureau, a Pew Research study showed that the percentage of employed individuals ages 25-29 who are college educated is at an all-time high. The study showed that the percentage of employed individuals aged 25-29 with at least a bachelor's degree in 2016 was 40%. In the year 2000, this percentage was 32%, in 1985 it was 25%, and in 1964 it was only 16%.+

(a) What is the population being studied in each of the four years?

O college educated individuals

O college educated individuals aged 25-29

O individuals aged 25-29

O employed individuals aged 25-29

O employed individuals

(b) What question was posed to each respondent?

O Have your earned a bachelor's degree (or higher)?

O Are you enrolled in college?

O Are you between the ages of 25 and 29?

O In what year did you receive your bachelor's degree?

O Are you employed?

(c) Do responses to the question provide categorical or quantitative data?

O categorical

O quantitative

Answer:

U.S. Census Bureau

a. The population being studied in each of the four years is:

O college educated individuals aged 25-29

b. The question that was posed to each respondent is:

O Have your earned a bachelor's degree (or higher)?

c. O categorical

Step-by-step explanation:

a) Data and Calculations:

Percentage of employed individuals ages 25-29 with at least a bachelor's degree

in 2016 = 40%.

In the year 2000 = 32%,

in 1985 = 25%,

in 1964 = 16%.+

The percentage has continued to increase steadily.

b) Categorical data does not indicate numbers.  They are qualitative in nature.  Instead, the data are grouped into categories.  Examples of categorical data are data about race, sex, age group, and educational level.

The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).

The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.

To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.

For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.

Therefore, the practical domain of the situation is x ≥ 0.

For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.

Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.

Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).

To summarize:

- The practical domain of the situation is x ≥ 0.

- The practical range of the situation is [140, ∞).

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the solutions to the equation have value of a=-4, b=1 and c=38.

In mathematics, factorization is the process of finding the factors of a given mathematical object, such as a number, polynomial, or matrix. Factors are objects that can be multiplied together to obtain the original object.

To solve the equation x² + 8x = 38 for x, we can use the following steps:

Move the constant term to the other side of the equation:

x² + 8x - 38 = 0

x=(-b±√b²-4ac)/2a

x=(-8±√64-4×1×(-38))/2×1

x=-4+√38

or x=-4-√38

On comparing with x= a+ b √c

x= a- b √c

value of a=-4

b=1

c=38

Therefore,  value of a=-4, b=1 and c=38.

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Answer:

did u get the answers to this exam?

Step-by-step explanation:

The cube root of -2i,

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

We can represent -2i in polar form as,

r(cosθ + i sinθ)

by computing its magnitude and angle.

The magnitude of -2i is 2

Since the absolute value of any imaginary number is equal to its magnitude.

To find the angle θ,

We can use the fact that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side.

In this case,

The opposite side is -2 and the adjacent side is 0.

Therefore, we have tanθ = -2/0, which is undefined.

However,

We can use the fact that the cube root of a complex number is equal to the cube root of its magnitude times exp(iθ/3) to find the cube root of -2i.

So, the cube root of -2i is equal to the cube root of 2 times exp(iθ/3).

Now, we need to find the value of θ/3. Since θ is undefined,

we will represent it as π/2 + 2πn,

where n is any integer.

So, θ/3 = (π/2 + 2πn)/3 = π/6 + 2πn/3.

Therefore, the cube root of -2i is equal to

⇒  ∛2 [ cos(π/6 + 2πn/3) + i sin(π/6 + 2πn/3) ]

Now put n = 0

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

This is the final form of the cube root of -2i in the required form.

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The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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The total volume of the cuboid is 6,000 cubic millimeters.

In order to calculate the total volume of a cuboid, you need to multiply its length, width, and height.

1 cm = 10 mm (since 1 centimeter is equal to 10 millimeters)

Therefore, the dimensions of the cuboid in millimeters are:

Length = 1 cm = 10 mm

Width = 2 cm = 20 mm

Height = 3 cm = 30 mm

Now we can calculate the volume:

Volume = Length x Width x Height

= 10 mm x 20 mm x 30 mm

= 6,000 mm³

Hence, the total volume of the cuboid is 6,000 cubic millimeters.

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The dimensions of a cuboid are 1 cm, 2 cm and 3 cm. What is the total volume in square millimeters?

The function for the parabola on the graph that has a vertex at (3, -1), and a directrix of y = -2.25 is; f(x) = 0.2·(x - 3)² - 1

The directrix is the line together with the focus from which the points on the parabola are equidistant.

The points on the graph of the parabola are;

Vertex = (3, -1)

The directrix is; y = -2.25

The vertex form of the equation of a parabola is presented as follows;

y = a·(x - h)² + k

Where;

(h, k) = The coordinate of the vertex = (3, -1)

The directrix equation is; y = k - p

a = 1/(4·p)

Therefore;

-1 - p = -2.25

p = 2.25 - 1 = 1.25

p = 1.25

The function for the parabola is therefore;

y = (1/(4·p))·(x - h)² + k

f(x) = (1/(4×1.25)) × (x - 3)² + (-1) = (1/5)·(x - 3)² - 1

(1/5)·(x - 3)² - 1 = 0.2·(x - 3)² - 1

The f(x) = 0.2·(x - 3)² - 1

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ANSWER

EXPLANATION

The box is a rectangular prism. The volume of a rectangular prism is given by:

where L = length

W = width

H = height

Therefore, the volume of the box can be written in the number sentence:

and the volume of the box is:

That is the answer.

Answer:

I guess that the geometric sequence is:

An = 2*5^(n - 2)

we usually have that that a geometric sequence is something like:

A*r^n.

so i will write the first two terms of our sequence separated, and i will calculate the summation of the first seven terms after n = 2.

A0 = 2*5^(-2) = 2/25

A1 = 2*5^-1 = 2/5

Then, the sum for a geometric sequence is:

SN = A(1 - r^N)/(1 - r)

in this case, A = 2 and r = 5, and i will use N = 7 for the sequence 2*5^n

S7 = 2*(1 - 5^7)/(1 - 5) = 39,062.

now we add the first terms that we obtained before and get:

S9 = 2/25 + 2/5 +  39,062 = 39,062.48

Answer:

13 cm

Step-by-step explanation:

because its represents the line parts

Answer:

The answer is 9

Answer:

the larger number is 120

Step-by-step explanation:

sum of number = 200

total ratio = 2 + 3 = 5

ratio 1 = 200 ÷ 5 = 40

ratio 2 = 40 × 2 = 80

ratio 3 = 40 × 3 = 120

Answer:

23552

Step-by-step explanation:

23, 92, 368...   is a geometric sequence.

first term = a = 23

common ratio = r = 2 term ÷ first term = 92 ÷ 23 = 4

nth term = \(ar^n^-^1\)

6th term = \(23*(4)^6^-^1\)

\(=23*4^5\)

\(=23*1024\)

\(=23552\)

Hope this helps :)

Pls brainliest...

Answer:

5x^2 + x + 7.

Step-by-step explanation:

6x^2 + 7 + x - x^2

= (6x^2 - x^2) + (x + 7) // Rearranging the terms

= 5x^2 + x + 7

So, 6x^2 + 7 + x - x^2 simplifies to 5x^2 + x + 7.

Using the expression 5x/12 = 20, the amount that A originally had was $48.

We have,

Let x be the amount of money that A originally had.

Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.

The amount received by B is 1/2 of the remaining amount,

which is (x - x/6)/2 = 5x/12.

We know that 5x/12 = 20,

Solving for x.

5x/12 = 20

5x = 240

x = 48

Therefore,

The amount that A originally had was $48.

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1.81437 Answer hope it helps you and please mark has brainlist

Answer:

Step-by-step explanation:

(2 + 2)/(1 + 2)= 4/3