10. An elevator at the 25th floor went down 16 floors and then up 11 floors. How far from the 25th floor was it?​

Answers

Answer 1

Answer:

5 floors

Step-by-step explanation:

25 - 16 +11 =  20

The elevator is now on the 20th floor.  That is 5 floors away from the 25th floor.

Helping in the name of Jesus.


Related Questions

the triangle below is isosceles.find the length of side X in simplest radical form with a rational denominator.

Answers

the answer is r6 because of the end result

How can I show my work for 7.540 - 4.826

Answers

6|15|3|10
7.540
4.826
———-
2.714

That took forever




2.714

2
The model represents the quotient of two decimals.

PLEASE LOOK AT PIC TO DETERMINE

Which expression does this model represent?

A. 0.875 divided by 3.5

B. 3.5 divided by 0.875

C. 4.0 divided by 0.875

D. 0.875 divided by 4.0

Answers

Answer:

The model represents the division of the larger rectangle (3.5 units wide) into 4 equal parts, and shading 1 part of it.

This means that the division is 3.5 divided into 4 parts, with each part being equal to the smaller rectangle with a width of 0.875.

Therefore, the expression represented by the model is:

B. 3.5 divided by 0.875

Step-by-step explanation:

Mr. Parker left half of his estate to his wife, 40,000$ to his daughter, half of what remained to his butler, and the remaining 6,000 to charity. what was the value of his estate

Answers

Answer:

c

Step-by-step explanation:

So what you need to do is split who is part of each:

1/2:

Wife:$?

1/2:

Daughter:$40,000

Butler:$?

Charity:$6,000

This makes it much easier to see as you know the charity and Butler received the same amount. You take your total (x) and do a simple equation of x=$40,000+6,000+6,000 as you know the butler must have also received the $6,000 the charity did. You will get x=$52,000 and you know that is half of the estate as he gave the other half to his wife. This is the same as knowing the butler and charity received the same amount as halves are equal to each other. SO now all you have to do is add $52,000+$52,000=$104,000 getting your answer.  

Which of these groups of values plugged into the TVM solver of a graphing calculator will return the amount of a 25 year loan with an APR of 16.8% compounded monthly, that is paid off with the monthly payment of 340?

Answers

A graphing calculator's tvm solver will calculate the monthly payment for a 25-year loan which comes to

N=300; I%=6.7; PV=-175000; PMT=; FV=0; P/Y=12; C/Y=12; PMT:END

What is TVM ?

A TVM solver needs the loan amount as the Present Value (PV), zero as the Future Value (FV), and N as the actual number of payments (25×12 = 300) in order to determine the loan payment.

The annual interest rate is considered by solvers to be I%. The monthly interest rate is used an HP-12C financial calculator.

Here C contains the list of numbers required to calculate the monthly payment for this $175,000 loan at a 6.7% interest rate.

Cash flow typically has a negative sign for amounts paid and a positive sign for quantities received.

Here the available options indicate that the loan amount is negative while the payment amount is positive. Also, we anticipate receiving the loan amount and making the installments.

We are Given the aforementioned standards, the indicators, in this case, are the opposite of what we typically anticipate.

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A ball is thrown upward with an initial velocity of 75 feet per second and an initial height of 4 feet. Given h(t) = −16t2 + v0t + h0, complete function h to model the vertical motion of the ball. Then find the ball’s maximum height, to the nearest foot.

Answers

The highest height of the ball, to the closest foot, is stated to be around 88 feet.

What is velocity, for instance?

Velocity may be referred to as the speed when something moves toward a particular location. as the rate of a car driving northwest on a highway or the pace at which a rocket takes off.

The function h(t) = −16t² + v0t + h0 models the vertical motion of the ball, where t is time in seconds, v0 is the initial velocity in feet per second, and h0 is the initial height in feet.

In this case, the beginning height is 4 feet, and the velocity of the fluid equals 75 feet per second. As a result, the following outlines the function h(t) which it simulates the ball's vertical motion:

h(t) = -16t² + 75t + 4

The point of the concave function h must be located in order to determine the ball's peak (t) = -16t² + 75t + 4.

The t-coordinate of the vertex is given by t = -b/2a, where a = -16 and b = 75. Substituting these values, we get:

t = -75 / (2 x (-16)) = 2.34375

We enter this t quantity into the procedure h(t) to get the maximum height:

h(2.34375) = -16(2.34375)² + 75(2.34375) + 4 = 87.74

To the nearest foot, the ball therefore achieves a peak of 88 feet.

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A streaming service wants to measure the popularity of a new television show. Which quantity provides the best measure of the television show’s popularity?

the number of episodes per season
the number of minutes per episode
the number of minutes per season
the number of streams per episode

Answers

The number of streams per episode

The quantity provides the best measure of the television show’s popularity is the number of streams per episode.

What is Independent and Dependent Variable?

We anticipate that independent variables will have an impact on dependent variables. What occurs as a result of the independent variable is referred to as a dependant variable.

The dependant variable is what changes as a result of the independent variable, which is what you modify.

The most accurate indicator of a television show's popularity on a streaming service is the number of streams each episode.

This is because, rather than just the length of the episodes or the number of episodes every season, the number of streams directly represents the number of viewers who are actively choosing to watch the show.

The number of streams also considers re-watchability and binge-watching, which are further indicators of how popular a show is.

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I need help please!! It for geometry

Answers

Answer:

Rhombus and Square

Step-by-step explanation:

Perpendicular Diagonals mean that the diagonals intersect each other at a 90 degree angle always.

Rectangles do not intersect at a 90 degree angle, and parallelograms don't ALWAYS intersect at that angle.
However, rhombuses and squares do.

which of the following is a set of complementary angles ?

(PLEASE HELP THIS IS DUE TODAY!!!!)

Answers

The pair of complementary angles is the one in the last option:

BFC and DFE

Which is a set of complementary angles?

Two angles A and B are complementary if their measures add upto 90°, on the diagram we can see that the angles defined are:

AFB = 40°

BFC = 60°

CFD = 50°

DFE = 30°

Now just see which pairs of these angles add up to 90 degrees, these pairs are complementary angles.

Then the sets of complementary angles are:

AFB and CFD

BFC and DFE

So the correct option  is the last one.

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Mary has $250 to spend. She buys gift cards for $130. She will use the rest of the money
to buy candy bars that cost $1.50 each. Which inequality can be used to find the greatest
number of candy bars she can buy with the rest of the money?
A. 130x+1.50 ≥250
B. 130x +1.50 ≤ 250
C. 130 +1.50x ≥ 250
D. 130 +1.50x ≤ 250

Answers

Answer:

Let's start by finding how much money Mary has left after buying the gift cards:

$250 - $130 = $120

Now, to find the greatest number of candy bars Mary can buy, we need to divide the amount of money she has left by the cost of each candy bar:

$120 ÷ $1.50 = 80

So Mary can buy up to 80 candy bars with the rest of her money.

We can check which inequality represents this situation by plugging in the numbers:

130 + 1.50x ≤ 250

where x represents the number of candy bars Mary buys.

If we subtract 130 from both sides, we get:

1.50x ≤ 120

Finally, if we divide both sides by 1.50, we get:

x ≤ 80

This matches our answer, so the correct inequality is:

D. 130 +1.50x ≤ 250

Answer:

D. 130 +1.50x ≤ 250

Step-by-step explanation:

250 - 130 = 120
1.50x = 120

Evaluate each expression for the set of values given in a table 28-c^3+6

Answers

The complete table:

c                       1       2       3

28 - c³ + 6       33    26      7.

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given:

A quadratic expression is 28 - c³ + 6.

Let A = 28 - c³ + 6.

When c = 1,

then A = 28 - 1³ + 6 = 28 - 1 + 6 = 33

When c = 2,

then A = 28 - 2³ + 6 = 28 - 8 + 6 = 26

When c = 3,

then A = 28 - 3³ + 6 = 28 - 27 + 6 = 7.

Therefore, all the required values are given above.

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10 cooks working for 8 hours each, can prepare a meal for 536 people. How many cooks will be needed to prepare a meal for 737 people if they are required to prepare the meal in 5 hours?​

Answers

Answer:

737 cooks are required to prepare a meal for 737 people in 5 hours

Step-by-step explanation:

According to the given information, 10 cooks can prepare a meal for 536 people working for 8 hours each.

Let's calculate the total work done by the 10 cooks in 8 hours.

Total work done = Number of cooks * Hours worked

Total work done = 10 * 8 = 80

Now, let's calculate the work done by one cook in one hour.

Work done by one cook in one hour = Total work done / (Number of cooks * Hours worked)

Work done by one cook in one hour = 80 / (10 * 8) = 1

Therefore, one cook can prepare food for 1 person in 1 hour.

Now, let's calculate the number of cooks required to prepare a meal for 737 people in 5 hours.

Total work required = Number of people * Hours required

Total work required = 737 * 5 = 3685

Number of cooks required = Total work required / (Hours worked * Work done by one cook)

Number of cooks required = 3685 / (5 * 1) = 737

Therefore, 737 cooks are required to prepare a meal for 737 people in 5 hours.

Suppose that the relation H is defined as follows.
H = {(−3, 8) , ( 0, -3) , (1, 3) , (1, -1)}
Give the domain and range of H.
Write your answers using set notation.
Domain = ?
Range = ?

Answers

The highest value and lowest value of x is domain, here domain is [1, -3]

The highest value and lowest value of y is range, here range is [8, -3].

What is domain and range?

Mathematical operations are comparable to those of a soda vending machine. You can choose from a variety of sodas when you deposit a certain sum of money. Similar to how we input different numbers into functions, we also receive new numbers as the outcome. The two main characteristics of functions are domain and range.

A soda can be purchased with quarters and one dollar bills. If pennies are put into the machine, no soda flavour will be provided. As a result, the domain represents the possible inputs, which are quarters and one-dollar bills. No matter how much you pay, a soda machine won't give you a cheeseburger. The range represents the potential outputs we can have in this situation, that is, the  flavors of soda in the machine.

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1. The circumcenter of ARST is A. What is the length of AT?

Answers

The correct option is D. For the circumcenter A of the triangle ∆RST, the length of AT is equal to 23.

What is the circumcenter of a triangle

The circumcenter of a triangle is the point where the perpendicular bisectors of the sides of the triangle intersect. This point is equidistant from the three vertices of the triangle and is the center of the circumcircle, which is the circle passing through all three vertices of the triangle.

Hence;

AS = AR = AT

3x - 7 = 2x + 3

3x - 2x = 7 + 3 {collect like terms}

x = 10

so;

AS = 3(10) - 7

AS = 30 - 7

AS = 23 and AT also is = 23.

Thus , for the circumcenter A of the triangle ∆RST, the length of AT is equal to 23.

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I'll give brainliest

Answers

The solution of the linear equation y =  15 x + 9 and y = 1/2 x - 20 is

x = -2

y = -21

How to solve the linear equation

The linear equation can be solved by graphical method to give the solution. The graph is attached

(-2, 21)

Using elimination method we have

y =  15 x + 9

y = 1/2 x - 20

subtracting will result to

0 = 14.5x + 29

-14.5x = 29

isolating x

x = 29 / -14.5

x = -2

substituting x = -2 into y =  15 x + 9

y =  15 (-2) + 9

y = -30 + 9

y = -21

Hence the solution is x = -2 and y = -21

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how does the total price of the high energy lamp relate to the low energy lamp? how does the total price for the low energy lamps relate to the high energy lamps?

Answers

The quantitative quality that is transferred to a physical system or a body is known as energy, and it is evident in the production of heat and light as well as in the performance of work.

What is Work?

Work, It is defined as the energy that is applied to or removed from an object by applying force along a displacement. A constant force acting in the same direction as the motion, the work is simply equal to product of the force's magnitude and the distance traveled.

The total price of high-energy lamp is a whole-number multiple of 4. The total price of the low-energy lamp is a whole number multiple of 5.

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Complete Question :

An electrician has $120 to spend on interior light fixtures. The

wholesale price for a 13-watt low-energy lamp is $4. The price for a

high-energy lamp is $5.

How does the total price of the high energy lamp relate to the low energy lamp? how does the total price for the low energy lamps relate to the high energy lamps?

Need Help Asap pls.........

Answers

answer is 159 sisbbajajajnabannajshabbababwbw

Answer:

159

Step-by-step explanation:

So first you work on the (3 + 5) which is 8 but don't forget the ^2 so 8^2 is 64. Then you work on your next term which is 10^2 which is 100. So now our equation is 100 + 64 -5 and you can solve this by going left to right. So 100 + 64 is 164 then - 5 is 159.

Draw and determine the equation of a trend line that modles the data set (1, 27.5), (4,35), (7,42.5), (10, 50), (13, 57.5)

Answers

Answer: To draw a trend line that models the given data set, we first need to plot the points on a graph. We can use a scale of 1 unit on the x-axis and 5 units on the y-axis to plot the points as follows:

(1, 27.5)    ●

(4, 35)      ●

(7, 42.5)    ●

(10, 50)     ●

(13, 57.5)   ●

We can see that the points roughly form a straight line. To find the equation of the trend line, we can use linear regression, which involves finding the line that best fits the data.

Using a calculator or software, we can find that the equation of the trend line is:

y = 3.5x + 24

This means that for every increase of 1 unit in x, y increases by 3.5 units. The y-intercept of the trend line is 24, which represents the value of y when x = 0.

We can plot the trend line on the same graph as follows:

     |                          

  60 |-●-                        

     |  |                        

  55 |-●-----                  

     |    |                    

  50 |-●-------                

     |      |                  

  45 |-●--------              

     |        |                

  40 |-●----------            

     |          |              

  35 |-●------------          

     |            |            

  30 |-●--------------        

     |              |          

  25 |-●-----------------      

     |                |        

     --------------------      

        1   4   7   10  13      

The dots represent the original data points, and the line represents the trend line.

Step-by-step explanation:

13. If 30% of the pupils in a school are boys, what percentage of the pupils are girls?

Answers

Answer:

70%

Step-by-step explanation:

100%-30%=70%

fxbhctcybyvybuninuvtxectb

Find the equation of the line shown.

I need it quick pls

Answers

The equation of the line shown is y = 2x.

What is a proportional relationship?

In Mathematics, a proportional relationship can be defined as a type of relationship that generates equivalent ratios and it can be modeled or represented by the following mathematical expression:

y = kx

Where:

x and y represents the variables or data points.k represents the constant of proportionality.

Next, we would determine the constant of proportionality (k) as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 2/1 = 4/2

Constant of proportionality, k = 2.

Therefore, the required equation is given by:

y = kx

y = 2x

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Fully factorise the following expression in a suitable factor form x^2+6x+8

Answers

(x+2 (x+4)

I factored using the AC method.

I’m pretty sure it’s x2+4x+2x+8

d) El automóvil de Julián recorre aproximadamente 12 km por
cada litro de gasolina. ¿Cuántos litros necesitaría para re-
correr 180 km?

Answers

We will see that the car needs 15 liters to travel the 180 km.

How many liters would he need to travel 180 km?

We know that this car travels 12 km for each liter of gasoline, so we must see how many times there are 12 kilometers in 180 km, then we must take the quotient:

180km/12km = 15

And for each one of those times, the car consumes one liter, so in total there are 15*1 l = 15 l

The car needs 15 liters to travel 180 km.

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Calculate the probability that Cindy will get at least 48 orange Stattles in her next 14 ounce bag.

Answers

The probability is approximately 0.129

How to calculate the probability that Cindy will get at least 48 orange Stattles in her next 14 ounce bag.

To calculate the probability that Cindy will get at least 48 orange Stattles in her next 14 ounce bag, we need to use the binomial probability formula:

P(X >= 48) = 1 - P(X < 48)

Where

X is the number of orange Stattles in a 14 ounce bag P(X < 48) is the probability of getting less than 48 orange Stattles in a 14 ounce bag

To calculate P(X < 48), we need to use the binomial probability formula:

P(X = x) = (nCx) * p^x * q^(n-x)

Where

n is the number of Stattles in a 14 ounce bag (we don't know this value)x is the number of orange Stattles in a 14 ounce bag (we want to find the probability of getting less than 48) p is the probability of getting an orange Stattle (0.4)q is the probability of getting a non-orange Stattle (0.6) nCx is the binomial coefficient

nCx is the binomial coefficient, which can be calculated using the formula:

nCx = n! / (x! * (n-x)!)

where ! denotes the factorial function.

We can use a cumulative binomial distribution table or a binomial calculator to find the probability of getting less than 48 orange Stattles in a 14 ounce bag. For example, using an online calculator, we find that:

P(X < 48) = 0.871

Therefore, the probability that Cindy will get at least 48 orange Stattles in her next 14 ounce bag is:

P(X >= 48) = 1 - P(X < 48) = 1 - 0.871 = 0.129

So, the probability is approximately 0.129 or 12.9%.

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A petri dish of bacteria grow continuously at a rate of 200% each day. If the petri dish began with 10 bacteria, how many bacteria are there after 5 days? Use the exponential growth function f(t) = aert, and give your answer to the nearest whole number.

Answers

Answer: 320

Step-by-step explanation:

Multiply each time by 2 so 10*2=20 then 40, 80, 160, and 320

Select the correct answer from each drop-down menu. The general form of the equation of a circle is 7x2 + 7y2 − 28x + 42y − 35 = 0. The equation of this circle in standard form is . The center of the circle is at the point , and its radius is units.

Answers

The general form of the equation of a circle is given by:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center of the circle and r is its radius.

Comparing the given equation to the standard form, we can complete the square for x and y to get:

7(x^2 - 4x) + 7(y^2 + 6y) = 35

7[(x - 2)^2 - 4] + 7[(y + 3)^2 - 9] = 35

7(x - 2)^2 + 7(y + 3)^2 = 98

Dividing both sides by 98, we get:

(x - 2)^2/14 + (y + 3)^2/14 = 1

Therefore, the equation of the circle in standard form is:

(x - 2)^2/14 + (y + 3)^2/14 = 1

The center of the circle is at the point (2, -3), and its radius is sqrt(14) units.

Answer:

The center of the circle is at the point (2, -3), and its radius is 4 units

Step-by-step explanation:

The equation of the circle in standard form can be obtained by completing the square for both x and y terms as follows:

7x^2 - 28x + 7y^2 + 42y - 35 = 0

7(x^2 - 4x) + 7(y^2 + 6y) = 35

7(x^2 - 4x + 4 - 4) + 7(y^2 + 6y + 9 - 9) = 35

7[(x - 2)^2 - 4] + 7[(y + 3)^2 - 9] = 35

7(x - 2)^2 + 7(y + 3)^2 - 112 = 0

7(x - 2)^2 + 7(y + 3)^2 = 112

Dividing by 112 on both sides, we get:

(x - 2)^2 + (y + 3)^2 / 16 = 1

Therefore, the equation of the circle in standard form is (x - 2)^2 + (y + 3)^2 / 16 = 1.

The center of the circle is at the point (2, -3), and its radius is 4 units.

For a certain are given as to. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive.

Answers

Since odds in favor of a certain horse finishing in second place are given as 49 to 51 so number of outcomes in favor is m = 49

and number of outcomes not in favor n = 51

and total outcomes are m+n = 49 +51 = 100

The probability of a certain horse finishing in second place is 49 /100 = 0.49.

What is probability?

The number of favourable outcomes to all possible outcomes of an event is the ratio, which is known as probability. For an experiment with 'n' number of outcomes, the symbol x can be used to indicate the number of excellent outcomes. The probability of an event can be calculated using the following equation:

x/n, where Probability is Favorable Outcomes/Total Results (Event)

The number of outcomes in favour is m = 49, the number of outcomes not in favour is n = 51, and the total outcomes are m+n = 49 + 51 = 100 because the chances in favour of a particular horse placing in second place are provided as 49 to 51.

The likelihood that a certain horse will place second is 49/100, or 0.49.

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The complete question is:

For a certain are given as to. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive.

The question is in the image

Answers

the positive value of "x" for the given quadratic equation will be 5.

What is a Quadratic equation?

ax²+bx+c=0, with a not, equals 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

Given a quadratic equation, √(4x² - 4x + 1) = 9

Simplifying the value of the given equation  to calculate the value of the variable "x",

Equation,

=> √(4x² - 4x + 1) = 9

Square both sides

=> (4x² - 4x + 1) = 81

=> 4x² - 4x - 80 = 0

Divide by 4 into both sides of the equation,

=> x² - x -20 = 0

Simplifying the equation using the factorization method,

=> x² - 5x + 4x - 20 = 0

=> x(x - 5) + 4(x - 5) = 0

=> x = -4

=> x = 5

Therefore, the positive value of "x" for the given quadratic equation will be 5.

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timothy spent all his money in five stores. He spends 1$ more than half of what he has how much money dose he have when he enters the first store.

Answers

Since it doesn't make sense for Timothy to have negative money, we can conclude that there is no solution to this problem.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Let's assume that Timothy has x dollars when he enters the first store.

According to the problem, he spends 1 dollar more than half of what he has.

So, the amount he spends in the first store is:

1/2 * x + 1

After spending this amount, he will have:

x - (1/2 * x + 1) = 1/2 * x - 1

dollars left.

He then goes to the second store and spends 1 dollar more than half of what he has left, which is:

1/2 * (1/2 * x - 1) + 1 = 1/4 * x + 1/2

After spending this amount, he will have:

1/2 * x - 1 - (1/4 * x + 1/2) = 1/4 * x - 3/2

dollars left.

He repeats this process for each of the five stores.

Therefore, the amount of money Timothy has left after visiting all five stores is:

1/4 * x - 3/2 - (1/4 * x + 1/2) - (1/4 * x + 1/2) - (1/4 * x + 1/2) - (1/4 * x + 1/2) = -5/4 * x - 5

Since he has spent all his money, the amount of money he has left must be 0:

-5/4 * x - 5 = 0

Solving for x, we get:

x = -20

However, since it doesn't make sense for Timothy to have negative money, we can conclude that there is no solution to this problem.

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36% of a prize pool = $45
So 1% of the prize pool =

Answers

$1.25
45 divided by 36 = 1.25

A Big Mac cost $3.49 today and in 2002 the same sandwich cost $1.89 what is the percent increase

Answers

Answer: 54%

Step-by-step explanation:

divide 1.89 by 3.49 then multiply by 100

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Bacteria are approximately in diameter, eukaryotic cells are typically at least times this size 1m:10x 10 pm: 100x 100 pmi 10x 100m,100x QUESTION 5 Which of the following statements is NOT CONSISTENT with Cell Theory? Bacteria and Eukaryotic cells divide using different mechanisms. Archaea and Bacteria are structurally similar, but Archaea are genetically more similar to Eukaryotes. Viruses are living organisms. All of the above QUESTION 6 Which of the following pellets at the slowest speeds during differential centrifugation? Microsomes Ribosomes Nuclei Vesicles Determine whether each sequence is arithmetic, geometric, or neither.(4, -20, 100, 500, ...}{1, 2, 3, 4, ...}{-18, 11, 4, 3, ...}{-3, -27, 243, -2187, ...}{1, 8, 27, 64, ...}{-9, -33, -57, -81, ...} Step 1 (3 pts). Input the arrow base height (int) and width (int). Draw a rectangle using asterisks (height x width). Hint: use a nested loop in which the inner loop draws one row of *s, and the outer loop iterates a number of times equal to the height. Submit for grading to confirm two tests pass. Ex: if input is:-. 6-. 4 Which of the following statements about the end of the Heian period is not true?A: Wealthy landowners built large, powerful armies.B: The countryside became lawless and was dangerous for farmers and travelers.C:The feudal system that was created at the end of the Heian period lasted for seven centuries.D:The emperor became more powerful at the end of the Heian period. In what way are two alleles for the same gene different?A. They have small variations in their sequences of nitrogenous bases B. They're found on complementary strands of DNAC. They contain completely different molecules of DNAD. They are found at different locations on a chromosome Mr. Adam requires $26,000 at the beginning of each year from2015 to 2019. 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The foundation will pay her $18,000 on August 1 and the remainder on May 1. To earn as much interest as possible, the student wishes to invest the money Three types of investments are available at her bank: a 3-month CD, earning 0.75% (net 3-month rate); a 6-month CD, earning 1.9%, and a 12-month CD, earning 4.2%. Develop a linear optimization model to determine how she can best invest the money and meet her financial obligation. Use Excel and Solver. Advanced equation solving written problem twoSolve the equation on the interval [0,2), showing all steps of the solution process. While you are welcome to check with a solver, no credit will be given for magic answers! If it is possible to obtain an exact value solution, you must give in that form. Otherwise, use decimal radians rounded to two places for the angles. Clearly indicate reference angles and quadrants. After solving, produce a Desmos graph showing the left and right sides of the equation graphed as functions, restricted to [0,2), and click to reveal points of intersection. Screenshot and include. Solve: (2cos - 1)(5cot+ 4) = 0 Consider a deleterious allele maintained by mutation-selection balance. How would the allele's equilibrium frequency change in response to an increase in the mutation rate? - Decrease - Increase - No change Which object reflects light with the longest wavelength?a yellow booka violet flowera blue papera green leaf PLEASEE HELP ME THIS IS DUE AN IN HOUR!! In a classroom 1/6 of the students are wearing blue shirts and 2/3 are wearing white shirts. There are 12 students in the classroom. How many students are wearing shirts other than blue shirts or white shirts. This year, the student council president has decided to raise funds for the school prom by selling Justin Bieber T-shirts. In the past, theyve sold an average of 1500 shirts at about $12 each. This year, they plan to decrease the price of the shirts. Based on student feedback, for every $0.50 decrease in price, 20 more T-shirts will be sold.a) Determine the demand (price) function in terms of x , the number of t-shirts soldb) Determine the marginal revenue function. Then, determine the marginal revenue from the sales of 1800 T-shirts and interpret its meaning. What is the value of mA + mB? What is the value of b?10162026 Which of the following is the quadratic parent function? A. F(x) = x , B. F(x) = |x| , C. F(x) = x^3 , D. F(x) = x^2 reflect on the strengths and weaknesses of the way that we financehealthcare (raise and administer the funds) describe thedifferences between how mexico and the U.S. finance healthcare.