Which of the following recursive functions could describe this sequence for term a n ? Consider the sequence 7, 4, 1, -2, ….

Answer:

80√3c+12√5c⁴

Step-by-step explanation:

You gave 2√10c (4√30 + 3√2c³) so...

1.) Distribute
You will then get 8√300c+6√20c⁴

2.) Simplify the radical expression and you will get
8x10√3c+6x2√5c⁴

3.) Calculate
80√3c+12√5c⁴

And that is your answer

Answer:

80√3c+12√5c⁴

Step-by-step explanation:

2√10c (4√30 + 3√2c³) so first things first:

1.) Distribute

You will then get 8√300c+6√20c⁴

2.) Simplify the radical expression and you will get

8x10√3c+6x2√5c⁴

3.) Calculate

80√3c+12√5c⁴

Answer:

The answer should be C because the airplane ascends and descends within bla3 minutes

Answer:

88 inches

Step-by-step explanation:

Divide the shape into 2 shapes and add all side lengths.

20+8+8+16+12+24=88

Answer:

Step-by-step explanation:

-3.4 is the lowest temperature.

Coldest temperature is -3.4 is recorded at 3:00 pm

The temperature closest to freezing point of water is -0.15

Answer:

Step-by-step explanation:

3:00pm is the coldest

12:00pm is the closest to freezing

Answer:

The total number of paints used for the month = $350

Step-by-step explanation:

Given that:

Spackle paint had a beginning inventory of 10 can of paint at $25 per can =

10× $25 = $250

They purchased 20 at $30 per can.

The amount of the 20 purchased can = 20 × $30 = $600

The total inventory for this supply = $600 + $250

= $850

They had an ending inventory valued 500.

∴

The total number of paints used for the month = total inventory  - ending inventory

The total number of paints used for the month = $850 - $500

The total number of paints used for the month = $350

Answer:

The answer you have marked is correct

Step-by-step explanation:

The angles added together equal 360

The nurse manager approves two staff nurses to attend a national conference.

The nurse manager has given their authorization or consent for two staff nurses to participate in and attend a national conference. This decision indicates that the nurse manager recognizes the value and relevance of the conference for professional development and sees the benefit of the staff nurses' participation. By approving their attendance, the nurse manager demonstrates support for their growth, learning, and exposure to new knowledge, experiences, and networking opportunities available at the conference.

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Answer:

y = 75°

Step-by-step explanation:

y and 105°

are on a straight line ,

a straight line is 180°

180 - 105 = 75°

y=75 °

I'm not sure about x hope you understand

Step-by-step explanation:

of course the answer is linear

Answer:

2x-y-1=0

Step-by-step explanation:

.

The area enclosed between f(x) = 0.2x^2 + 3 and g(x) = x from x = -2 to x = 4 is 28.536 square units.

To find the area enclosed between two curves, we need to find the definite integral of the difference between the two curves. In this case, we need to find:

∫[-2,4] (f(x) - g(x)) dx

Where f(x) = 0.2x^2 + 3 and g(x) = x. Substituting these into the integral, we get:

∫[-2,4] (0.2x^2 + 3 - x) dx

To solve this integral, we need to first distribute the negative sign:

∫[-2,4] (0.2x^2 - x + 3) dx

Then, we can integrate each term separately:

∫[-2,4] 0.2x^2 dx - ∫[-2,4] x dx + ∫[-2,4] 3 dx

Using the power rule of integration, we get:

[0.067x^3]_[-2,4] - [0.5x^2]_[-2,4] + [3x]_[-2,4]

Substituting the limits of integration, we get:

[0.067(4)^3 - 0.067(-2)^3] - [0.5(4)^2 - 0.5(-2)^2] + [3(4) - 3(-2)]

Simplifying, we get:

16.536 - 6 + 18

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Answer:

Step-by-step explanation:

If Kevin has 4 more points

than Carl, and then Tom has

2 fewer points than Carl, then Kevin

had 6 more points than all of Tom's points.

Hope this helps! <3

The remainder when N is divided by 1000 is 106.

The Principle of Inclusion-Exclusion, often known as PIE, offers a method/formula for organizing information about the size of each set, the number of elements in the union of a given set of sets, and the size of all potential set intersections.

From the question,

First, we think about all the possible divisions of the 7×1 board. Since we require at least one tile of each color, we exclude the cases of just one or two pieces.

Three pieces = 5+1+1 , 4+2+1 , 4+1+2 etc (6C2) = 15 ways

Four pieces = 6C3 = 20

Five pieces = 6C4 = 15

Six pieces = 6C5 = 6

Seven pieces =6C6 = 1

Now, we apply the Principle of Inclusion-Exclusion to consider how many ways to color them:

Three pieces : 3³ - 3 × 2³ + 3 = 6

Four pieces: 3⁴ - 3 × 2⁴ + 3 = 36

Five  pieces : 3⁵ - 3 × 2⁵ + 3 = 150

Six pieces : 3⁶ - 3 × 2⁶ + 3 = 540

Seven pieces : 3⁷ - 3 × 2⁷ + 3 = 1806

Adding them together, we get

15×6 + 20×36 + 15×150 + 6×540 + 1×1806 = 8106

Hence, the remainder when it is divided by 1000 is 106.

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Answer:

106

Step-by-step explanation:

Answer:

\(y = \frac{-3}{4}x + 36\)

Step-by-step explanation:

Data provided in the question

Height = 36 inches

Stant of the stairs followed that declines 9 inches for every 12 horizontal inches

Height = x

x =  from top of the stairs

based on the above information

Therefore the change in rate is

\(\frac{-9}{12} = \frac{-3}{4}\)

It depicts the line sloping.

Now the function would be determined by the line equation which is as follows

y = mx+c

\(m = \frac{-3}{4}\)

where,

c = 36 inches

So, the function is

\(y = \frac{-3}{4}x + 36\)

Answer:

Answer is A

Step-by-step explanation:

The length of line AE is 18 and the correct option is F. 18.

Length is the distance between two points.

To calculate the length of AE, we use the formula for similar angle.

Note: Triangle ABE is simialar to triangle CDE. And the ratio of their corresponding sides are equal.

Formula:

From the diagram

Given:

Substitute these values into equation 1

Hence, the right option is F. 18.

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The implicit solution to the given differential equation Dx/dt = 4x² + (9t/√(6²+x²)) / (4tx) using the method for solving homogeneous equations is F(t,x) = C, where C is an arbitrary constant.

To solve the given differential equation, we can separate the variables and integrate both sides. Rearranging the equation, we have:

(4tx) Dx = (4x² + (9t/√(6²+x²))) dt. Next, we integrate both sides. Integrating the left side with respect to x and the right side with respect to t, we get:

∫(4tx) Dx = ∫(4x² + (9t/√(6²+x²))) dt. Integrating both sides will result in a function F(t,x) on the left side and the integral on the right side. Since we are looking for an implicit solution in the form F(t,x) = C, we can write the equation as:

F(t,x) = C. cccThis represents the general solution to the given differential equation, where C is an arbitrary constant. The specific form of the function F(t,x) will depend on the integration process and the initial conditions, if provided.

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There are 720 possible horse combinations for the first 3 places in the race.

To solve this problem, let us break this down one by one.

There are 10 possible horses that could win in first place.

Therefore, this means that for each of these possibilities, there are now 9 horses that could come in second.

So there are 10 x 9 possible combinations for the first 2 places.

10 x 9 = 90.

And for each of those combinations, there are also 8 possible horses that could come in the third place. So

10 x 9 x 8 = 720

There are 720 possible horse combinations for the first 3 places in the race.

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The statement made by Lincoln in the movie "Lincoln" refers to a mathematical principle known as Euclid's first common notion. This notion can be seen as an example of both a postulate and a theorem.

In the statement, Lincoln says, "Things which are equal to the same things are equal to each other." This is a fundamental idea in mathematics that is often referred to as the transitive property of equality. The transitive property states that if a = b and b = c, then a = c. In other words, if two things are both equal to a third thing, then they must be equal to each other.

In terms of Euclid's first common notion being a postulate, a postulate is a statement that is accepted without proof. It is a basic assumption or starting point from which other mathematical truths can be derived. Euclid's first common notion is considered a postulate because it is not proven or derived from any other statements or principles. It is simply accepted as true. So, in summary, Euclid's first common notion, as stated by Lincoln in the movie, can be seen as both a postulate and a theorem. It serves as a fundamental assumption in mathematics, and it can also be proven using other accepted principles.

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Answer:

WHQT ARE YOY TRYING TO SAYYYYYŸ

Step-by-step explanation:

The amount Anthony spent on each egg if he spent a total of $23.60 is $3.93 per egg.

Cost of each egg = Total cost of eggs ÷ Number of ostrich eggs

= $23.60 ÷ 6

= 3.933333333333333

Approximately,

Cost of each egg = $3.93

Therefore, the amount Anthony spent on each egg if he spent a total of $23.60 is $3.93 per egg

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a. The three exponential graphs can be analyzed to determine the values of a and b in their corresponding equations.

b. The three logarithmic graphs can also be analyzed to determine the values of a and b in their corresponding equations.

a. Analyzing the exponential graphs allows us to compare their corresponding equations and identify the values of a and b. The general form of an exponential function is given by y = ab^x, where a represents the initial value or y-intercept, and b represents the base or growth factor of the exponential function. By examining the graphs, we can determine the values of a and b by observing the initial value and the rate of growth or decay.

b. Similarly, analyzing the logarithmic graphs helps us compare their corresponding equations and determine the values of a and b. The general form of a logarithmic function is y = αlog_a(x), where α represents the coefficient or scaling factor, and a represents the base of the logarithm. By studying the graphs, we can identify the values of α and a by looking at the scaling of the logarithmic curve and the base of the logarithm.

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The answer is 18, 0

You gotta trust me

$6 per quart.

A quart is 1/4 of a gallon.

Answer:

$6 per quart

Step-by-step explanation:

Since we are trying to find out how much money a quart of paint will cost, we need to find out how many quarts are in one gallon.

There are 4 quarts in a gallon, therefore we take $24 divided by 4 and get $6 per quart.

The cost for 1 song is $0.99, then from the 150 songs 149 will cost $0.10, therefore, the total cost for the 150 songs is:

Answer: $15.89.

The overall sample for the survey consists of 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors, totaling 155 students.

To create an overall sample for the survey, the administrators selected a certain number of students from each class level. They randomly sampled 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors. By combining these individual samples from each class, the administrators obtained an overall sample size of 50 + 40 + 35 + 30 = 155 students. This overall sample represents a portion of the student population from each class level and allows for a representation of students from different academic years in the survey.

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Answer:

B. y = |2x| - 2.

Step-by-step explanation:

If we start with y = 2x:

this passes through the origin and has a slope of 2.

y = |2x| means the absolute ( positive) values only,  so the part of the line below the x axis is reflected in the axis to form a V shaped graph.

So we have a V shaped graph with the vertex at (0, 0).

Then -2 brings the vertex from (0, 0) to (0  -2) so we get:

y = |2x| - 2.