Watch help video
Write an explicit formula for an, the nth term of the sequence 48, 12, 3, ....

Answers

Answer 1

The given sequence  48, 12, 3, .... written in the explicit formula is as follows:

aₙ = 48·(1/4)^(n-1)

What is the explicit formula?

The formal equations for L-functions in mathematics are Riemann's zeta function and links between sums over an L-complex function's number zeroes and sums over prime powers.

An arithmetic sequence has the explicit formula aₙ = a + (n - 1)d, and each term of the sequence may be computed without knowing the values of the previous terms.

The nth term of arithmetic, geometric, or harmonic series is usually the explicit formula.

So, the sequence we have is as follows:

48, 12, 3, ....

The common ratio of the terms is 1/4, and the first term is 48.

The universal equation for a geometric sequence's n-th term is:
aₙ = a1·r^(n-1)

This is true when r = 1/4 and a1 = 48:

aₙ = 48·(1/4)^(n-1)

Therefore, the given sequence  48, 12, 3, .... written in the explicit formula is as follows:

aₙ = 48·(1/4)^(n-1)

Know more about the explicit formula here:

https://brainly.com/question/24198356

#SPJ1


Related Questions

Which of the following problems would NOT have a solution? Group of answer choices 10 divided by 2. 10 divided by 5. 10 divided by 0. 0 divided by 10.

Answers

10 divided by 0 problem would NOT have a solution.

Given:

a. 10 divided by 2

b. 10 divided by 5

c. 10 divided by 0

d. 0 divided by 10

We know that ,

Integer divided by an integer is an integer

Therefore (a) and (b) will have a proper solution

We also know that ,

Zero divided by anything is Zero

Therefore (d) also have a unique answer that is zero

Now , We know that

Any numeric value divided by Zero tends to infinity .

Hence, 10 divided by 0 problem would NOT have a solution.

Learn more about infinity at:

https://brainly.com/question/903340

#SPJ1

1. Draw a scaled copy of either Figure A or B using a scale factor of 3.2. Draw a scaled copy of either Figure C or D using a scale factor of 1/2

1. Draw a scaled copy of either Figure A or B using a scale factor of 3.2. Draw a scaled copy of either

Answers

For a Scaled copy multiply each side length by the scale factor

1.

A

Multiply each side by 3 , and then connect the missing side:

C. figure C

Multiply each side length by 1/2

1. Draw a scaled copy of either Figure A or B using a scale factor of 3.2. Draw a scaled copy of either
1. Draw a scaled copy of either Figure A or B using a scale factor of 3.2. Draw a scaled copy of either
1. Draw a scaled copy of either Figure A or B using a scale factor of 3.2. Draw a scaled copy of either
1. Draw a scaled copy of either Figure A or B using a scale factor of 3.2. Draw a scaled copy of either

A high school is voting on a new mascot. Lion Eagle Bee Ninth Grade 45% 32% 23% Tenth Grade 36% 40% 24% Eleventh Grade 50% 28% 22% Twelfth Grade 40% 25% 35% Match the two-way table to the segmented bar graph.

Answers

The steps to create a bar graph are explained below.

To match the two-way table to the segmented bar graph, we need to create a segmented bar graph that represents the data in the table. The table shows the percentage of students in each grade who voted for each mascot option.

Here is how we can match the two-way table to the segmented bar graph:

For the Lion mascot option, the segmented bar graph would have the largest segment for 11th grade, followed by 9th grade, 10th grade, and 12th grade.For the Eagle mascot option, the segmented bar graph would have the largest segment for 10th grade, followed by 11th grade, 9th grade, and 12th grade.For the Bee mascot option, the segmented bar graph would have the largest segment for 12th grade, followed by 9th grade, 10th grade, and 11th grade.

By creating a segmented bar graph that represents the data in the two-way table, we can visually compare the percentage of students who voted for each mascot option across different grade levels.

Learn more about graphs here:

https://brainly.com/question/17267403

#SPJ1

32, 25, 18, 11..... Next 3...

18, 25, 32
4, -3, -10
7, 14, 21
39, 46, 53​

Answers

4, -3 , -10

Each time is subtracting by 7

Answer:

you subtract by 7 everytime

Iris is a working freelancer and has been tracking her monthly income for the last four months she found out that she made $2700 $4600 $3550 and $1700 when making her budget what income value should she use

Answers

Iris should use an income value of approximately $3,137.50 when making her budget.

When making her budget as a freelancer, Iris should use an income value that reflects her average earnings over the past four months. By calculating the average income, Iris can have a more stable and reliable estimate for her budget planning.

To determine the average income, Iris needs to add up the total income earned over the four months and divide it by the number of months. Summing up the income values, we get:

$2700 + $4600 + $3550 + $1700 = $12,550

Next, dividing the total income by four (the number of months), we find:

$12,550 / 4 = $3,137.50

Therefore, Iris should use an income value of approximately $3,137.50 when making her budget. This average value allows her to account for fluctuations in her monthly income and provides a more accurate representation of her earning potential.

It is important for Iris to consider her expenses and financial goals when budgeting. By using the average income, she can create a budget that balances her income and expenses, allowing her to allocate funds appropriately for various needs such as bills, savings, investments, and personal expenses.

For more such questions on value,click on

https://brainly.com/question/843074

#SPJ8

The probable question may be:

Iris is a working freelancer and has been tracking her monthly income for the last four months, which are $2700, $4600, $3550, and $1700. What income value should she use when making her budget?

iota z^3 -8 =0 find |z|
plzz tell fast mode
z btana h​

Answers

Answer:

thats 8 with the power of three or a fraction of 3 and if your subtracting 8 the so called "hidden" number is 8 meaning that it would equal 0

Step-by-step explanation:

Write an expression that represents the area of just the portrait (white rectangle)

Write an expression that represents the area of just the portrait (white rectangle)

Answers

the area of the rectangle will be 1.5w².

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees.

Area of rectangle is A = a*b

The given length of the rectangle is w

The width will be 1.5w

So the rectangle of the white figure is Area = w*1.5w = 1.5 w²

hence the area of the rectangle will be 1.5w².

Learn more about rectangular by following the link below.

brainly.com/question/25292087

#SPJ1

The mean life of a new smart LED bulb is 20,000 running hours with a standard deviation is 2,250 hours. The data is normally distributed. If a home improvement store sold 18,000 of these light bulbs in the first year of production, how many light bulbs would you expect to last longer than 22,250 hours?

Answers

Answer: The expected number of bulbs that would last longer than 22,250 hours is approximately 2,857.

Step-by-step explanation:

To solve this problem, we can start by finding the z-score for 22,250 using the formula:z = (x - mean) / standard deviationz = (22,250 - 20,000) / 2,250 = 1Next, we need to find the proportion of bulbs lasting longer than 22,250. We can look up this proportion in a standard normal distribution table or use a calculator, which gives us a probability of 0.1587.Finally, we can use this probability to find the expected number of bulbs that will last longer than 22,250:Expected number of bulbs = probability * total number of bulbs sold Expected number of bulbs = 0.1587 * 18,000 = 2,857Therefore, we can expect that approximately 2,857 of the 18,000 bulbs sold will last longer than 22,250 running hours.

Answer:

the afternoon is the right one

it is 4.5 miles from moulton to filby via Burnham and denton how far is it between denton and filby

Answers

Answer: I think that the answer is 3/4 miles

Step-by-step explanation:

50 Points! Multiple choice algebra question. If r(x)=x^3-2x+1, find r(2a^3). Photo attached. Thank you!

50 Points! Multiple choice algebra question. If r(x)=x^3-2x+1, find r(2a^3). Photo attached. Thank you!

Answers

Answer:

D

Step-by-step explanation:

Answer:

D. \(8a^{9} -4a^{3} +1\)

Step-by-step explanation:

Given \(r(x)=x^{3} -2x+1\) and find \(r(2a^{3} )\) :

\(r(2a^{3} )\) is the same as saying \(x=2a^{3}\)So, we have \(r(2a^{3} )=(2a^{3})^{3} -2(2a^{3})+1\)

Solve for \(r(2a^{3} )\) :

1. \(r(2a^{3} )=(2a^{3})^{3} -2(2a^{3})+1\)

Start with simplifying \((2a^{3})^{3}\)\((2a^{3})^{3}=2^{3}*(a^{3})^{3}=8*a^{3*3}=8a^{9}\)When you have a quantity raised to a power, or an exponent, you have to distribute the exponent to each term multiplied.When you multiply two terms that are raised to a power, you add the powers.When you divide two terms that are raised to a power, you subtract the power in the numerator from the power in the denominator.When you have a power raised to a power, you multiply the powers.

2. \(r(2a^{3} )=8a^{9} -2(2a^{3})+1\)

Simplify \(2(2a^{3})\)Multiply two times the quantity\(2(2a^{3})=4a^{3}\)

3. \(r(2a^{3} )=8a^{9} -4a^{3}+1\)

Answer:

So, if \(r(x)=x^{3} -2x+1\), then \(r(2a^{3} )=(2a^{3})^{3} -2(2a^{3})+1=8a^{9} -4a^{3}+1\).

Then the answer is D. \(r(2a^{3} )=8a^{9} -4a^{3}+1\)

Carl button airline ticket two weeks ago the cost of this flight was $300 what is the percent increase

Answers

3% is the percent increase

Tiana is looking up her county's census data for a school project. Her county conducts a census every decade. She finds that the population was about 641,000 the year she was born, and that it had decreased to about 634,590 a decade later. Tiana reads that the population of the county is expected to continue decreasing each decade.
Write an exponential equation in the form y=a(b)x that can model the county population, y, x decades after Tiana was born.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
y =
How many decades after Tiana was born will the county population fall below 600,000?
decades

Answers

The exponential function that can model the county population, y, x decades after Tiana was born, is:

\(y = 641000(0.99)^x\)

The population will fall below 600,000 in 6.6 decades after Tiana was born.

What is an exponential function?

The definition of the exponential function is presented as follows:

\(y = a(b)^x\)

In which the parameters of the exponential function are presented as follows:

a is the initial value.b is the rate of change.

In the context of this problem, the values of these parameters are given as follows:

a = 641000, which is the initial population.b = 634590/641000 = 0.99.

Hence the function is:

\(y = 641000(0.99)^x\)

The population will fall below 600,000 when y = 600000, hence:

\(y = 641000(0.99)^x\)

\(600000 = 641000(0.99)^x\)

\((0.99)^x = \frac{600000}{641000}\)

\(\log{(0.99)^x} = \log{\left(\frac{600000}{641000}\right)}\)

\(x\log{0.99} = \log{\left(\frac{600000}{641000}\right)}\)

\(x = \frac{\log{\left(\frac{600000}{641000}\right)}}{\log{0.99}}\)

x = 6.6 decades.

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

Find sin theta if cos theta is 4/5

Answers

Answer:

Step-by-step explanation:

hello :

cos²θ +sin²θ = 1 and cosθ =4/5

(4/5)² + sin²θ = 1 so : sin²θ = 1 - 16/25

sin²θ = 9/25 = (3/5)²

sinθ = 3/5 or sinθ = - 3/5 because : (3/5)²= (- 3/5)²= 9/25


Use two unit multipliers to convert 145 centimeters to kilometers (show work)

Answers

Answer:

0.00145 km or 1.45×\(10^{-3}\) km

Step-by-step explanation:

We know:

1 km = 1000 m1 m = 100 cm

Convert cm to km:

1 cm = 1/100 m = 1/100* 1/1000 km = 1/100000 km145 cm = 145/100000 km = 0.00145 km or 1.45×\(10^{-3}\)

It cost the Wilson children $55 to make lemonade. How many glasses must they sell at 75¢ each to make a profit?

Answers

Answer:

Step-by-step explanation:  x=number of glasses sold

55<0.75x

55/0.75<x

x>73 ⅓

they have to sell at least 74

Draw a triangle with an area of 21 square units in a coordinate plane where the vertices are not all in the same quadrant?​

Answers

The graph of the triangle is on the image at the end.

How to draw the triangle?

Remember that the area of a triangle of base B and height H is:

A = B*H/2.

Here we want to have an area of 21, then we can use:

B = 6

H = 7

Then:

A = 6*7/2

A = 3*7 = 21

So we must have a base of 6 units and a height of 7 units, then the vertices that we can have are:

(-3, 0), (3, 0), (-3, 7)

So we will have a right triangle such that the vertices are on the first and second quadrant, the graph of the vertices is below.

Learn more about triangles at:

https://brainly.com/question/2217700

#SPJ1

Draw a triangle with an area of 21 square units in a coordinate plane where the vertices are not all

URGENT!!! Elementary school students were given a geometry assignment. They were to measure the area of several rectangles and to measure the diagonal of the rectangle as shown in the table.



The equation of the least-squares regression line is
ŷ = 3.6 + 0.113x, where ŷ is the diagonal and x is the area of the rectangle. Which shows the residual plot?

URGENT!!! Elementary school students were given a geometry assignment. They were to measure the area
URGENT!!! Elementary school students were given a geometry assignment. They were to measure the area
URGENT!!! Elementary school students were given a geometry assignment. They were to measure the area
URGENT!!! Elementary school students were given a geometry assignment. They were to measure the area

Answers

The plot of the residuals to the area indicates that the graph that corresponds to the residuals is the second option.

Please find attached the graph of the residual plot for the data created with MS Excel

What is a residual plot?

A residual plot is a tool used for assessment of statistical models, to determine how fit the model is to the data. A residual plot is a plot of the residuals to the input or x-values of the data.

The trend line for the data in the question obtained using MS Excel indicates that we get; y = 0.1128·x + 3.6158

The residuals, which is the difference between the actual values and the calculated value obtained using MS Excel are;

Area (in²)    \({}\)              Residuals

x-value

5 \({}\)                             -1.0178

10 \({}\)                           -0.2718

24 \({}\)                           0.605

46 \({}\)                           0.7874

53 \({}\)                           0.7018

78 \({}\)                           0.0758

84 \({}\)                           -0.129

100 \({}\)                         -0.7538

The above values for the areas and the residuals indicates that the residual plot is n shaped, with the first two values being below the x-axis, which corresponds to the second option

Learn more on residual values of a set of data here: https://brainly.com/question/31687998

#SPJ1

URGENT!!! Elementary school students were given a geometry assignment. They were to measure the area

Please help with this !! ASAP

Please help with this !! ASAP

Answers

9y+7 + 7y-19 = 180
Y =12 degrees

Answer:

B) 12

Step-by-step explanation:

These two angles are known as same-side interior angles. These angles add up to 180°. Use this to solve for y:

9y + 7 + 7y - 19 = 180

16y - 12 = 180

16y = 192

y = 12

What is 2(a +8) pls help me I want to pass

Answers

the answer could possibly be

2(a+8)
2xa=2a
2x8=16

Answer=
2a+16

Answer:

2a+16

Step-by-step explanation:

Your first distribute 2(a+8) and get 2a+16.

Whenever a number is in front of a group of numbers in parenthesis, then it  is always multiplying. You have to multiply both numbers, and that's how I got 2a+16. Hopefully this helps!

QUESTIONS
A salt is packed in jars containing 32 grams. How many jars can be filled from 15kg of the salt? [​

Answers

Answer:

Number of  jars can be filled from 15kg of the salt = 468 or 469 jars (Approx.)

Step-by-step explanation:

Given:

Amount of salt containing in jar = 32 gram

Total amount of salt in jar = 15 kg

Find:

Number of  jars can be filled from 15kg of the salt

Computation:

Total amount of salt in jar = 15 kg

Total amount of salt in jar (in grams) = 15 x 1000 g

Total amount of salt in jar (in grams) = 15,000 g

Number of  jars can be filled from 15kg of the salt = Total amount of salt in jar (in grams) / Amount of salt containing in jar

Number of  jars can be filled from 15kg of the salt = 15,000 / 32

Number of  jars can be filled from 15kg of the salt = 468.75

Number of  jars can be filled from 15kg of the salt = 468 or 469 jars (Approx.)

I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS 7

I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS 7

Answers

X = 11 / cos(32)
X= 12.97096

A rectangular garden is to be constructed using a rock wall as one side of the garden and wire fencing for the other three sides. Given that there are 30 meters of fencing available, determine the dimensions that would create the garden of maximum area. What is the maximum possible area?

Answers

The dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is 75 square meters

What is measurement?

Measurement is the process of assigning numerical values to physical quantities, such as length, mass, time, temperature, and volume, in order to describe and quantify the properties of objects and phenomena.

Let's assume that the rock wall is the width of the garden and the wire fencing is used for the length and the other two sides. Let's denote the length of the garden as L and the width as W.

Since we have 30 meters of fencing available, the total length of wire fencing used is:

L + 2W = 30 - W

Simplifying this equation, we get:

L = 30 - 3W

The area of the garden is:

A = LW

Substituting the expression for L from the previous equation, we get:

A = W(30 - 3W)

Expanding the expression, we get:

A = 30W - 3W²

To find the maximum area, we need to take the derivative of A with respect to W and set it equal to zero:

dA/dW = 30 - 6W = 0

Solving for W, we get:

W = 5

Substituting this value back into the expression for L, we get:

L = 15

Therefore, the dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is:

A = 5(15) = 75 square meters

To know more about measurement visit:

brainly.com/question/4804936

#SPJ1

Determine the x- and y- intercepts for the graph defined by the given equation.
y = x + 8
a. x-intercept is (0,8)
c. x-intercept is (-8, 0)
y-intercept is (-8, 0)
y-intercept is (0,8)
b. x-intercept is (0, -8)
d. x-intercept is (8,0)
y-intercept is (8,0)
y-intercept is (0, -8)

Answers

Answer:

Y-intercept is (0,8)

Step-by-step explanation:

The line of an equation is y=mx+b. M in this case is 1 and "b" is the y intercept. since in the place of b is positive 8 the y-intercept is 8

X-intercepts (-8,0) Y-intercepts (0,8)

Can someone help me?Solve the equation , check for extraneous solutions

Can someone help me?Solve the equation , check for extraneous solutions

Answers

Answer:

0

Step-by-step explanation:

\(2\sqrt[3]{(1-3x)} =6-4=2\\\sqrt[3]{(1-3x)}=\frac{2}{2} =1\\\sqrt[3]{(1-3x)}^{3} =1^{3} \\(1-3x)=1\\-3x=0\\x=0\)

It’s 0!!!!!!!!!!!!!!!!!!!

given the following matrices, if possible, determine A+B+C. if not, state “not possible”

given the following matrices, if possible, determine A+B+C. if not, state not possible

Answers

Given:

\(\begin{gathered} A=\begin{bmatrix}{-5} & {1} & {} \\ {4} & {1} & {} \\ {4} & {-3} & {}\end{bmatrix} \\ B=\begin{bmatrix}{-2} & {10} & {} \\ {6} & {-3} & {} \\ {-7} & {-1} & {}\end{bmatrix} \\ C=\begin{bmatrix}{8} & {-1} & {} \\ {8} & {-10} & {} \\ {-3} & {-5} & {}\end{bmatrix} \end{gathered}\)

Required:

To find A+B+C.

Explanation:

Now the addition of given matrix is possible.

\(A+B+C=\begin{bmatrix}{-5} & {1} & {} \\ {4} & {1} & {} \\ {4} & {-3} & {}\end{bmatrix}+\begin{bmatrix}{-2} & {10} & {} \\ {6} & {-3} & {} \\ {-7} & {-1} & {}\end{bmatrix}+\begin{bmatrix}{8} & {-1} & {} \\ {8} & {-10} & {} \\ {-3} & {-5} & {}\end{bmatrix}\)\(=\begin{bmatrix}{-5-2+8} & {1+10-1} & {} & {} \\ {4+6+8} & {1-3-10} & {} & {} \\ {4-7-3} & {-3-1-5} & {} & {} \\ {} & {} & {} & {}\end{bmatrix}\)\(=\begin{bmatrix}{1} & {10} & {} \\ {18} & {-12} & {} \\ {-6} & {-9} & {}\end{bmatrix}\)

Final Answer:

\(A+B+C=\begin{bmatrix}{1} & {10} & {} \\ {18} & {-12} & {} \\ {-6} & {-9} & {}\end{bmatrix}\)

find the area and circumference of a circle with a radius 5 m. use the value 3.14 for radius, and do not round your answers. Be sure to include the correct units in your answers.

Answers

Area and circumference of the circle are 78.5 m² and 31.4 m respectively.

What is a circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that, a circle have a radius 5 m

Area of a circle = π × radius²

Circumference = 2π×radius

Area = 3.14 × 5² = 3.14 × 25 = 78.5 m²

Circumference = 3,14 × 2 × 5 = 31.4 m

Hence, area and circumference of the circle are 78.5 m² and 31.4 m respectively.

Learn more about circle, click;

https://brainly.com/question/29142813

#SPJ1

Solve: 2x -3 =6
Hey can someone please help me with this?

Answers

Hey there!

\(Answer:\boxed{x=\frac{9}{2}}\)

\(Explanation:\)

\(2x-3=6\)

\(2x-3+3=6+3\\2x=9\) Add 3 to both sides.

\(\frac{2x}{2}=\frac{9}{2}\) Divide both sides by 2.

\(x=\frac{9}{2}\)

Hope this helps!

\(\text{-TestedHyperr}\)

\(\text {Hi! Let's Solve this Problem!}\)

\(\text {The First Step is to Add 3:}\)

\(2x-3+3=6+3\\2x=9\)

\(\text {The Final Step is to Divide 2:}\)

\(\text 2x/2=9/2\)

\(\text {Your Answer would be:}\)

\(\fbox {x=9/2 or as a decimal x=4.5}\)

\(\text {Best of Luck!}\)

\(\text {-LimitedX}\)

If h(x) = -2x + 6, find x if h(x) = 12.

Answers

\(-2x+6=12\\2x=-6\\x=-3\)

8. The first three terms of a geometric sequence are ( x-6), 3x, and y. If the common ratio is 6, then the value of y is.

Answers

Answer:

The value of y is 216

(and the value of x is 12)

Step-by-step explanation:

The general formula for a geometric sequence is,

\(a_n = a_1(r)^{n-1}\)

Where n represents the nth term, a_1 is the first term and r is the common ratio,

we see that,

r = 6,

the first term is,

a_1 = (x-6)

the 2nd term is,

a_2 = 3x,

the 3rd term is,

a_3 = y, finding y,

first we find x, using the above given formula we have,

\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)

x = 12,

Now, for y we can use the relation between a_3 and a_2,

\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)

y = 216

How can u find a geometry-big circle mAB=56 mBC=59 mCD=63 mDE=63 mEF= 31

Answers

To find the measure of the geometry-big circle, we need to sum up the measures of all the arcs around the circle.

We are given the following measures:

\(\sf\:m\angle AB = 56 \\\)

\(\sf\:m\angle BC = 59 \\\)

\(\sf\:m\angle CD = 63 \\\)

\(\sf\:m\angle DE = 63 \\\)

\(\sf\:m\angle EF = 31 \\\)

To find the measure of the geometry-big circle, we add up these measures:

\(\sf\:m\angle AB + m\angle BC + m\angle CD + m\angle DE + m\angle EF \\\)

Substituting the given values:

\(\sf\:56 + 59 + 63 + 63 + 31 \\\)

Simplifying the expression:

\(\sf\:272 \\\)

Therefore, the measure of the geometry-big circle is 272.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Other Questions
Find the Distance between the two points (Round to the nearest tenth)1. (0,1) (0,6)2. (2,1) (5,6)3. (4,6) (-2,-2) To determine which countries are part of the African nations, you should reference aa. Physical mapC. Data mapb. Tabled. Political mapPlease select the best answer from the choices provided #2 Your 18% tip on a meal at a restaurant was $5.40. How much was the bill?Explain your work using the percent method of your choice.PLEASE ANSWER I NEED HELP WHO EVER ANSWERS I WILL MARK BRAINLIEST 7= x + 6 solve for x Can somebody please tell me if you can ever get the EXACT area of a circle and explain why or why not? 5.Si P(x)=2x+4a , Q(x)=4x-2 y P[Q(4)]=60 , Calcular el valor de a A number line going from negative 1 to positive 1 in increments of 1. There are 4 equal spaces between each number. Is 1 4 < 3 4 ? Use the number line to explain your answer. No, because Negative one-fourth is to the left of Negative three-fourths No, because Negative one-fourth is to the right of Negative three-fourths Yes, because Negative one-fourth is to the left of Negative three-fourths Yes, becauseNegative one-fourth is to the right of Negative three-fourths A robot vacuum cleans a dirty floor using multiple passes. During each pass, 25% of the dirt is removed. If the floor initially has 20.00 oz of dirt, how much dirt will remain after 6 passes?A) 20 x 0.87^6 8.67 ozB) 20 x 0.750^6 3.56 ozC) 20 x 0.94^6 13.80 ozD) 20 x 0.92^6 12.13 oz How do I write equations for the piecewise function? For C. PLEASE ANSWER ASAp : find the equation of the line shown Meeting Professor Problem At the end of the semester, students are queuing to ask Professor questions. At one time, only one student can consult in Professor's office, the consultation takes a fixed three seconds. There are two seats for students to sit and wait outside Professor's office. Suppose students come every second. If Professor finds any student is waiting, he will let a student in and explain whatever for three seconds, and let the student leave. He will keep doing this. If no one is waiting, he will rest. If a student comes and finds there is no waiting seat available, the student will leave; otherwise, the student will sit and wait. If a waiting student finds Professor is resting, the student will wake up Professor, consult and leave; otherwise the student will sit waiting to be called, and then consult and leave. Write a concurrent program to simulate the above process. Output is like: Student 1 just sat down. Student 1 is consulting. Professor is explaining. Student 2 just sat down. Student 3 just sat down. Professor is explaining. Student 2 is consulting. Student 4 just sat down. Here, printing order in dashed rectangle is not required: This means both "Professor is explaining. Student X is consulting." No available seat. Student 5 just left. No available seat. Student 6 just left. Professor is explaining. and Student 3 is consulting. Student 7 just sat down. "Student X is consulting. Professor is explaining." are fine. No available seat. Student 8 just left. No available seat. Student 9 just left. Student 4 is consulting. Professor is explaining. Professor is explaining. Student 7 is consulting. A Michelson interferometer consists of a 50/50 beam splitter (half of the light is transmitted, half is reflected) and two mirrors, as shown in the figure. By varying the relative path lengths, one can change the amount of light that leaves via the bottom exit 'port' of the interferometer. This enables one, e.g., to measure distances very accurately.A 1-mW laser of wavelength = 360 nm, is directed into the interferometer. Initially the path lengths of the two arms are identical, so that all the light goes to the detector at the bottom (i.e., there's complete constructive interference of the waves from the two paths). How much does mirror M1 need to be moved (the minimum distance) so that no light will be detected at D1? x = ____ nm 1. Samuel does his job good/well. 2. Be carefully/careful with my bag3. Does Liam always arrive lately/late to school?4. Jim thinks that the task is easy/easily. Who are mangers? Explain how managers differ from non-managerialemployees and Describe classification, levels and different skills of managers. A circular clock has a circumference of 27 inches. Find the approximate diameter of the clock. Use 3.14 for . Round to the nearest hundredth if necessary. The nth term of a different sequence is 8 - 6nIs -58 a term of this sequence?You must show how you get your answer. George has a 1-gallon container of apple juice. How many cups of apple juice are in the 1-gallon container? 2. Atoms containing the same number ofprotons but different numbers of neutronsare Plz help me Read the poem "The Winds Visit" by Emily Dickinson.The wind tapped like a tired man,And like a host, "Come in,"I boldly answered; entered thenMy residence within A rapid, footless guest,To offer whom a chairWere as impossible as handA sofa to the air. No bone had he to bind him,His speech was like the pushOf numerous humming-birds at onceFrom a superior bush.His countenance a billow,His fingers, if he pass,Let go a music, as of tunesBlown tremulous in glass. He visited, still flitting;Then, like a timid man,Again he tapped't was flurriedlyAnd I became alone.Dickinson uses a simile in the first stanza of this poem todescribe the doorway of the house.give the wind humanlike characteristics.emphasize the destructive power of the wind.describe the speaker of the poem. 4. Why was V-) Day celebrated even more heartily in the U.S. than V-E Day?The U.S. had fought the war in the Pacific almost on its own.Americans were very sympathetic toward the Japanese.The Japanese surrender meant the beginning of WWII.Americans did not realize how devastating the atomic bombing of Japan was.