Morgan set up a Web site and kept track of how many people clicked on it. By the end of the second day, the Web site had received 4 clicks and by the end of the fourth day, it had received 16 clicks.

She wrote two functions f(d) to model the number of clicks, where d is the number of days since she set up the Web site. One of the functions is exponential, and the other is linear.

Drag equations and statements to the table to show the functions she wrote and to show which function has the greater initial value and the lesser initial value

Answers

Answer 1

Answer:

Exponential function:

[tex]f(d) =2^d[/tex]

Linear function:

[tex]f(d) = 2\times f(d-1)[/tex]

Step-by-step explanation:

Given that:

Number of clicks by the end of 2nd day = 4

Number of clicks by the end of 4th day = 16

To find:

The function f(d) to model number of clicks in exponential and linear form.

Solution:

Given that with a value d = 2, f(d) = 4 and

d = 4, f(d) = 16

4 is [tex]2^{2}[/tex]

and 16 is [tex]2^{4}[/tex]

We can see that 2 has a power 'Number of days'.

So, exponential function can be written as:

[tex]f(d) = 2^d[/tex]

As per the pattern given, at the end of 2nd day, there are 4 clicks

by the end of 3rd day there will be 8 clicks and

by the end 4th day it has 16 clicks.

It means that by the end of present day the number of clicks have doubled than that of clicks by end of previous day.

So, we can write the function

[tex]f(d) = 2\times f(d-1)[/tex]

So, the answer is:

Exponential function:

[tex]f(d) =2^d[/tex]

Linear function:

[tex]f(d) = 2\times f(d-1)[/tex]

Answer 2

Answer:

look at the image below

Step-by-step explanation:

imagine math

Morgan Set Up A Web Site And Kept Track Of How Many People Clicked On It. By The End Of The Second Day,

Related Questions

A pencil cup is a cylinder made of plastic with one base missing. The cup is 5 inches tall and has a radius of 1.75 inches. Approximately how many square inches of plastic were used to make the cup? 54.98 in.2 74.22 in.2 48.11 in.2 64.60 in.2

Answers

Answer:

74.22

Step-by-step explanation:

a pencil cup is like a cylinder

A=2πrh+2πr2=2·π·1.75·5+2·π·1.752≈74.22013

hope this helps

correct me if this is wrong

easy question please help fast, i just want to check my answer!

Answers

Answer:

false

Step-by-step explanation:

its false I think

If f(x) = x2 + 3x - 4, find f(4).

Answers

Answer:

f(4) = 24

Step-by-step explanation:

Plug in 4 for x in the equation:

f(x) = x² + 3x - 4

f(4) = (4)² + 3(4) - 4

Remember to follow PEMDAS. PEMDAS =

Parenthesis

Exponents (&  Roots)

Multiplication

Division

Addition

Subtraction

and is the order of operation.

First, solve the power:

(4)² = 4 * 4 = 16

Next, multiply 3 with 4:

3 * 4 = 12

Next, combine the terms:

f(4) = 16 + 12 - 4

f(4) = (16 + 12) - 4

f(4) = 28 - 4

f(4) = 24

f(4) = 24 is your answer.

~

Answer:

24

Step-by-step explanation:

Plug x as 4.

(4)² + 3(4) - 4

16 + 12 - 4

= 24

#1 Billy stacked nine pieces of wood on top of one another. If each piece was 3/4 of a foot tall, how tall was the wood pile? Round your answer to the nearest hundredth of a foot.

#2 look at the photo

please help me as soon as you can it would be greatly appreciated I’m in a hurry.

Answers

Answer:

a. 6.75 ft

b. Exponent on w is w^4

Step-by-step explanation:

a. The best thing here is to work with decimals

each piece was 3/4 foot tall which means each piece is 0.75 ft tall

Now since he staked 9, the height of the wood pile would be 9 * 0.75 = 6.75 ft

b. Firstly let’s evaluate the denominator

That becomes; 2v^-3w^8 * v^4w = 2v^(-3+4)w^(8+1) = 2vw^9

So let’s now divide this by the numerator

Since we are concerned with only the exponent on w, we place w^13 over w^9 = w^(13-9) = w^4

Choose a number subtract 5 the result is 4

Answers

Answer:

3

Step-by-step explanation:

Write an algebraic expression for the given word expression:
4.7 less than a number k

Answers

Answer:

k-4.7

Step-by-step explanation:

It is k minus 4.7 because when it says less than it means the number that is stated before the phrase is being subtracted :)

Answer:

k-4.7

Step-by-step explanation:

For writing algebraic expressions, we have translate the words to math.

4.7 less than a number k, means subtraction (notice the word- less)

Thus, we have k-4.7

Hope this helps :)


can someone help me answer this please

Answers

Answer: 19 degrees

Step-by-step explanation:

<FOE is the central angle of an arc of 52 degrees and is thus 52 degrees.  Then by supplementary angles <COD is 71 degrees and angle BOA is thus also 71 degrees.  Then by supplementary angles <BOC is 19 degrees and arc BC is thus also 19 degrees.

Hope it helps <3

Answer:

19 degrees

Step-by-step explanation:

Here’s a graph of a linear function. Write the equation that describes that function. Express it in slope

Answers

Answer:

  y = (1/3)x +4

Step-by-step explanation:

The line intercepts the y-axis at y=4. It has a "rise" of 1 unit for each "run" of 3 units, so its slope is rise/run = 1/3.

The slope-intercept form of the equation of a line is ...

  y = mx + b . . . . . where m is the slope and b is the y-intercept.

When we put the proper numbers in the equation, we have ...

  y = (1/3)x + 4

what is the formula for this equation?

hen spends 3 days baking 224 cookies. on the second day, he bakes twice as many as he did on the first day. on the third day, he baked half as many as he did on the first day. How many cookies did he bake o the 2nd day

Answers

Answer:

x + 2x + 1/2x = 224

Step-by-step explanation:

x + 2x + 1/2x = 224

3.5x = 224

x= 64

64×2=128

Hen baked 128 cookies on the second day

The price of an antique car in 2020 is 200% of its original price in 1980. By what percentage did the price increase over this 40-year period?

Answers

Answer: 100%

Step-by-step explanation:

Given the following :

Price of antique car in 2020 is 200% of its original price in 1980.

By what percentage did the price increase over this 40-year period?

Let the original price = x

x = price of car in 1980

Price of car in 2020 = 200% of x = 2x

Percentage increase in price is given by:

(increase / original price) × 100%

Increase = (price in 2020 - price in 1980)

[(Price in 2020 - price in 1980) / original price] * 100%

[(2x - x) / x] * 100%

[(2x - x) / x] * 100%

(x /x) * 100%

= 1 × 100%

= 100%

100x%

The percentage that the price increase over this 40-year period is 100%.

Percentage increase

Using this formula

Percentage increase=(Current price-Original price)÷Original price × 100%

Let plug in the formula

Percentage increase= (200% of x1-1)/1×100

Percentage increase= 1 × 100%

Percentage increase= 100%

Inconclusion the percentage that the price increase over this 40-year period is 100%.

Learn more about percentage increase here:https://brainly.com/question/11360390

Point G is the center of the small circle. Point X is the center of the large circle. Points G, Y, and X are all on line segment GX.
Marco wants to create a new circle using GX as a radius. What will be the area of Marco’s new circle?
10Pi centimeters squared
16Pi centimeters squared
356Pi centimeters squared
676Pi centimeters squared

Answers

Answer:

GY = 10 cm

YX = 16 cm

A = πr²

A = π (26cm)²

A = 676cm² π

Step-by-step explanation:

The area of Marco's new circle is A = 676π cm²

What is a Circle?

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

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

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the radius of the circle be represented as r

Now , the value of r = 26 cm

And , area of the circle = πr²

On simplifying , we get

A = π ( 26 )²

A = 676π cm²

Hence , the area of the circle is 676π cm²

To learn more about circle click :

https://brainly.com/question/28391204

#SPJ3

The complete question is attached below :

Point G is the center of the small circle. Point X is the center of the large circle. Points G, Y, and X are all on line segment GX.

Marco wants to create a new circle using GX as a radius. What will be the area of Marco’s new circle?

10Pi centimeters squared

16Pi centimeters squared

356Pi centimeters squared

676Pi centimeters squared


If 6x - y = 21 and -x + 6y = 14, what is the value of x - y?

Answers

Answer:

the value of x_y is 1.

hope u get it.....

Which of the following points satisfies the inequality y>1/3x-2 which side should be shaded

Answers

Answer: Hope this helps <3

Step-by-step explanation:

solve the following system of linear equations using the elimination method

Answers

Answer:

x=-1, y=2, z=3

Step-by-step explanation:

First at all, you can divide these equations into two group. It is easier to you.

4x-2y+3z=1

3x+y+2z=5

x+3y-4z=-7

3x+y+2z=5

Then, you can simplify these group of equation that you divided.

So, we have to simplify these step by step.

First, we can simplify the first group of equation.

4x-2y+3z=1

3x+y+2z=5

We have to find which variable you want to eliminate. I choose y.

You can multiply the second equation of first group by 2 and eliminate them.

4x-2y+3z=1

6x+2y+4z=10

As the variable of y is same and we can eliminate y by addition.

4x-2y+3z=1

6x+2y+4z=10

become

10x+0+7z=11

10x+7z=11

10x+7z=11 as the third equation.

Next, simplify the second group of equation.

x+3y-4z=-7

3x+y+2z=5

Same way as the previous one. We need to find which variable that you want to eliminate. I choose y.

We need to balance for the first equation x+3y-4z=-7 at least one variable.

We need to multiply this equation by -3 below to get the same value of y to eliminate the above equation.

3x+y+2z=5 (multiply by -3)

-9x-3y-6z=-15

x+3y-4z= -7

-9x-3y-6z= -15

Here we go! Now these group has same value and variable to eliminate.

We can eliminate these equations by addition method.

x+3y-4z= -7

-9x-3y-6z= -15

-8x+0+10z= -22

-8x+10z= -22

Furthermore, we have to combine these equations that we have simplified from the previous groups.

10x+7z=11

-8x+10z= -22

10x+7z=11 and -8x+10z= -22 as a new group.

Finally, it is time to solve these equations!!

10x+7z=11

-8x+10z= -22

First equation of the above group, we can multiply by 10. Like this:

100x+70z=110

Second equation of the above group, we can multiply by 7. Like this:

-56x+70z=-154

So, we can see there are same value from these equation which are +70z and -70z.

Now, we can eliminate this variable by sum these equations.

100x+70z=110

-56x+70z=-154

44x= -44

x= -1

When we get x= -1 , we can use this value to any equation that you want. You can get the same answer as well.

When x= -1,

substitute into 100x+70z=110

100(-1)+70z=110

-100+70z=110

70z=110+100

70z=210

z=3

When z=3 and x= -1, we can substitute into x+3y-4z= -7

-1+3y-4(3)= -7

-1+3y-12= -7

3y=6

y=2

So, the answer is x= -1 , y=2 , z=3

I hope you will understand my solution and explanation. Bye!!

NEED HELP ASAP *picture included* what percent of the area underneath this normal curve is shaded?

Answers

Answer:

68.26

Step-by-step explanation:

The symbol σ represents standard deviation. 1 standard deviation (in both directions) under a normal distribution= 68.26

Answer:

68%.

Step-by-step explanation:

The 68-95-99.7 rule (also know as the Empirical Rule) states that 68% of the data lies within 1 standard deviation of the mean. 95% of the data lies within 2 standard deviations of the mean. 99.7% of the data lies within 3 standard deviations of the mean.

According to the diagram, the area shaded shows data within 1 standard deviation of the mean (one standard deviation to the left, and one to the right). That means that 68% of the data is within the shaded area.

Hope this helps!

Which of the following are solutions to the quadratic equation? Check all that
apply.
2x2 + 7x- 14 = x2 + 4

Answers

Answer:

[tex]\boxed{\sf \ \ \ x=-9 \ \ or \ \ x=2 \ \ \ }[/tex]

Step-by-step explanation:

hello,

[tex]2x^2+7x-14=x^2+4\\<=> 2x^2+7x-14-x^2-4=0\\<=> x^2+7x-18=0\\<=>x^2-2x+9x-18=0\\<=> x(x-2)+9(x-2)=0\\<=> (x+9)(x-2)=0\\<=> x+9 = 0 \ \text{or} \ x-2=0\\<=> x = -9 \ \text{or} \ x=2[/tex]

hope this helps

Find the product h · k(x) if h(x) = 2(3x – 5) and k(x) = –2x + 1?

Answers

Answer:

The answer is option C.

Step-by-step explanation:

h(x) = 2(3x – 5) = 6x - 10

k(x) = –2x + 1

h • k (x) = (6x - 10) ( - 2x + 1)

= - 12x² + 6x + 20x - 10

The final answer is

= - 12x² + 26x - 10

Hope this helps you

Answer:

C)  h · k(x) = –12x2 + 26x – 10

Step-by-step explanation:

what is the solution to the inequality below x<5

Answers

Answer:

The correct answer is B

Answer:

0 < x < 25

Step-by-step explanation:

What is 14v14 divided by 72 in simplest form?

Answers

Answer:

About 2.72

Step-by-step explanation:

From reading the comments, I suppose you meant v actually means x so:

14 × 14 = 196

196 ÷ 72 ≈ 2.72

Hope this helped! :)

Answer:

Hello!

I'm not sure what the " v " means but I think you meant to put x instead of v

____________________

14 x 14 = 196

196 ÷ 72 = [tex]\frac{49}{18}[/tex]

Step-by-step explanation: Reduce the expression, if possible, by cancelling the common factors.

Hope I got this right.

A 1 km long train is travelling at 30km/h. If the train enters a tunnel that is 1 km long, how much time will it take for the train to clear the tunnel?

Answers

Answer: 240 seconds OR 4 minutes

Step-by-step explanation:

Length of the train = 1 km

Length of the tunnel = 1 km

Therefore, length of the train + length of the tunnel = (1 + 1) km = 2 km

= 2000 m

Speed of the train = 30 km/hr = 8.333 metres per second

Therefore, time taken by the train to cross the tunnel = 2000 m/ 8.333 m/sec.

= 240 seconds = 4 minutes

Find lateral surface area in square units, of the following 3-
dimensional figure.
Enter just a number for your answer.
-
14 ft
7 ft
9 ft

Answers

Answer:

Lateral surface area of cuboid = 448 ft²

Step-by-step explanation:

Given:

Height of cuboid(h) = 14 ft

Length of cuboid(l) = 9 ft

width of cuboid(b) = 7 ft

Find:

Lateral surface area of cuboid

Computation:

Lateral surface area of cuboid = 2 h(l + b)

Lateral surface area of cuboid = 2(14)(9 + 7)

Lateral surface area of cuboid = 28(16)

Lateral surface area of cuboid = 448 ft²

Using Cramer's Rule, what is the value of x in the solution to the system of linear equations below
X+ 3y - 16
3x + y = 8

Answers

Answer:

x = 5

Step-by-step explanation:

Here, we want to use Crammer’s rule to find the value of x

Please check attachment for complete solution

The tens digit of a two-digit number is twice the units digits. If the digits are reversed, the new number is 18 less than the original number. Find the number.

Answers

Answer:

x=42

Step-by-step explanation:

The tens digit of a two-digit number is twice the units digits. put it in an equation:

10(2x)+x = 10x+2x+18

21x=12x+18

21x-12x=18

x=18/9=2

substitute x:

10(2x)+x = 10x+2x+18

10(2*2)+2=10(2)+2(2)+18

42=24+18

Complex numbers are used in electronics to describe the current in an electric circuit. Ohm's law relates the current in a circuit, I, in amperes, the voltage of the circuit, E, in volts, and the resistance of the circuit, R, in ohms, by the formula Solve the problem using this formula. Find E, the voltage of a circuit, if I = (16 + i) amperes and R = (2 + 4i) ohms.

Answers

Answer:

E = (28 + 66i) Volts

Step-by-step explanation:

Note that: i = √-1 ; i² = -1

Ohm's law: E = IR

E = (16+ i) (2 + 4i)

Expand the equation.

E = 16x2 + 16x4i + ix2 + ix4i

E = 32 + 64i + 2i + 4i²

E = 32 + 64i + 2i + 4(-1)

E = 32 + 64i + 2i - 4

Collect like terms:

E = 32 -4 + 64i + 2i

E = (28 + 66i) Volts

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

The answer would be f(a)=-1

-AC I hope this helps<3

f(x) = x2. What is g(x)?

Answers

Answer:

B

Step-by-step explanation:

Put x as 1 and the output will be 9.

y = (3x)²

y = (3(1))²

y = 3²

y = 9

True

3x-10-4
if x-3
3-164
if x=y=-25
88-y)
if =2 y = 6
6
2
if x=-12
9-10 +4
87-4
-32
4
3x + 4y - 3x
3,81-10) +5x
(2x + 6
if x = -2
-10x
1
ifr=
if x=-2
Kio-2+1
. 20th
2012
x+8y-(x)
(8x)+ 6x + 2
if x = -3
2x + 4y + xy
if x=y=2
8x + 2y
if x=1.5, y =-22
if x =-5, y =
ķ' +17-117
(x-6)+4
3r -8.rº + 7
if x = 4.5
-2x+8y
if x = 3, y = -9
(-5x) - 3x + x
if x=-3.5
if x=8

Answers

Answer/Step-by-step Explanation:

1. 3x - 10 +4 if x = 3

To evaluate, plug in the value of x in the expression given

3(3) - 10 + 4 = 9 - 10 + 4

= 3

2. [tex] \frac{x}{2} + 6x [/tex]

if x = -12

[tex] \frac{(-12)}{2} + 6(-12) [/tex]

- 6 - 72 = - 78

3. 8(x - y), if x = 2, y = 6

8(2 - 6) = 8(-4) = -32

4. x + xy, if x = 3, y = -2.5

3 + (3)(-2.5) = 3 + (-7.5)

= 3 - 7.5 = - 4.5

5. (2x)² + 6, if x = -2

(2*-2)² + 6 = (-4)² + 6

= 16 + 6 = 22

6. 3x + 4y - 3x, if x = 2, y = 4

3(2) + 4(4) - 3(2) = 6 + 16 - 6

= 16

7. [tex] -10x + \frac{4}{x} [/tex]

If x = -2

[tex] -10(-2) + \frac{4}{-2} [/tex]

20 + (-2) = 20 - 2 = 18

8. 3(8x - 10) + 5x, if x = ½

3(8*½ - 10) + 5(½)

3(4 - 10) + 2.5

3(-6) + 2.5 = -18+2.5 = - 20.5 or 20½

9. x + 8y - (x)², if x = -5, y = ¼

-5 + 8(¼) - (-5)² = -5 + 2 - (25)

= -3 - 25 = -28

10. (8x)² + 6x + 2, if x = -3

(8*-3)² + 6(-3) + 2 = (-24)² - 18 + 2

= 576 - 18 + 2 = 560

11. 2x² + 4y² + xy, if x = ½, y = 2

2(½)² + 4(2)² + (½)(2)

= 2(¼) + 4(4) + 1

= ½ + 16 + 1 = ½ + 17 = 17½

12. 8x + 2y, if x = 1.5, y = -2.2

8(1.5) + 2(-2.2)

12 - 4.4 = 7.6

13. [tex] \frac{5}{2}(x - 6) + 4 [/tex]

if x = 8.

[tex] \frac{5}{2}(8 - 6) + 4 [/tex]

[tex] \frac{5}{2}(2) + 4 [/tex]

= 5 + 4 = 9

14. 3x - 8x² + 7, if x = 4.5

3(4.5) - 8(4.5)² + 7

13.5 - 8(20.25) + 7

13.5 - 162 + 7 = -141.5

15. -2x² + 8y, if x = 3, y = -9

-2(3)² + 8(-9)

-2(9) - 72 = - 18 - 72 = 90

16. (-5x)² - 3x + x, if x = -3.5

(-5*-3.5)² - 3(-3.5) +(-3.5)

(17.5)² + 10.5 - 3.5

306.25 + 10.5 - 3.5 = 313.25

Which part of the graph is the distance from home constant? PLEAS HELP ME VERY EASY

Answers

It’s 4. He doesn’t increase or decrease in distance so it’s a straight line so it’s constant...

Check all that apply. If csc0=13/5, then:

Answers

I hope this helps you

Answer:  B) sin θ = 5/13    and    D) tan θ = 5/12

Step-by-step explanation:

[tex]\csc\theta=\dfrac{r}{y}=\dfrac{13}{5}[/tex]

Use Pythagorean Theorem: x² + y² = r² to calculate x = 12

[tex]\sin \theta=\dfrac{y}{r}=\dfrac{5}{13}\qquad \qquad \qquad \csc \theta=\dfrac{r}{y}=\dfrac{13}{5}\\\\\\\\\cos \theta=\dfrac{x}{r}=\dfrac{12}{13}\qquad \qquad \qquad \sec \theta=\dfrac{r}{x}=\dfrac{13}{12}\\\\\\\\\tan \theta=\dfrac{y}{x}=\dfrac{5}{12}\qquad \qquad \qquad \cot \theta=\dfrac{x}{y}=\dfrac{12}{5}[/tex]

Un comerciante vende a un cliente 20kg de arroz 12,25 kilogramos de papa y 39, 16 kilogramos de frijol el peso de los artículos vendidos es

Answers

Respuesta:

71.41 kilogramos

Explicación paso a paso:

En este caso lo que debemos hacer para calcular el peso de los artículos vendidos, es sumar el peso individual de cada artículo, por lo tanto:

Peso total = peso del arroz + peso de la papa + peso del frijol

Ya que tienen la misma unidad de medida, no hay ningún problema para sumar, entonces reemplazamos:

Peso total = 20 + 12.25 + 39.16

Peso total = 71.41

Lo que quiere decir que el peso de los artículos vendidos es de 71.41  kilogramos

Other Questions
can teachers see what your answers are in the tutorial on edmentum Calculate the following problem. Remember to round off the answer to the nearest whole number, because fractions of a drop are to be avoided when calculating IV drip rates. Order: 1000 mL of D51/2NS (dextrose 5% in 0.45% sodium chloride) in 8 hours Available: 1 liter of D51/2NS (dextrose 5% in 0.45% sodium chloride); IV macrodrip tubing 10 gtt per milliliter The patient should receive ______ gtt per minute. 5. Choose the best answer (A, B or C) to fill in the gaps.JFKin35J.F. Kennedy (JFK), the 35th president of the USA,Massachusetts on May 29,1917. After finishing high school, heHarvard University and graduated with an honourabledistinction in 1940. He wanted to takein WWII, so hejoined the US Navy and 4 a commander of a torpedo boat,In August 1943, he unselfishly rescued several of his crewmenafter a Japanese shiphis boat. For this brave act, hewas awarded a medal for leadership and courage.the war, he returned to Boston and joined the DemocraticParty and, in 1953, he 7Jacqueline Bouvier in St. Mary'sRoman Catholic Church in Newport, Rhode Island. Together, theytwo children, John F. Jr and Caroline Bouvier. Within9a few years, JFKa very popular politician and, in thegeneral election on November 8, 1960, at the 10 of 43,he was elected president of the USA.1. A. was bornB. bornC. had born6. A. SinceB. UntilC. After2. A. was attending B. attendsC. attended7. A. had marriedB. marriedC. married with3. A partB. UpC. place8. A. used to haveB. were havingC. had4. A. had becomeB. becameC. has become9. A. had becomeB. has becomeC. was becoming5. A. was rammingB. had rammedC. ramming10. A. yearB. ageC. time26. Complete using one word.On November 21, 1963, JFK went to Texas to give several politicalspeeches.his car was driving slowly past cheeringcrowds in Dallas, gunshots rang out. Somebodyshothim. JFK's driver rushed him to Parkland Hospital, where doctorstheir best to save him. Unfortunately, approximatelyone hour later, JFK 4away. A few hours after theshooting, the police arrested Lee Harvey Oswald and accused himmurdering the president. On November 24, anotherman, Jack Ruby, shot and killed Oswald, thus silencing the onlyperson who could have offered more information about this tragic25event.7President Kennedy's death caused great sadness and mostAmericans still remember exactly what theydoing when they heard the terrible news. Today, JFK standsin people's memories for his leadership, personalityand accomplishments. Many respect his coolness when faceddifficult decisions; others admire his willingness tofight for the poor, the elderly and the ill. Like all leaders, John Kennedycertainlysome mistakes during his presidency, butalways optimistic about the future.he10 How does this paragraph develop the characters in the dialogue A car is traveling down a highway. It was moving with a velocity of 50m/s when the driver reads the speed limit and has to decelerate with an acceleration of -5m/s for 2 seconds. What is the momentum of this 500kg car after it decelerates? Calculate the number of moles in 25.0 g of each of thefollowing:a. Heb. 02c. Al(OH)3d. Ga S3e. C4H10, butane Applying the Segment Addition PostulatePoint B lies between points A and C on AC. Let xrepresent the length of segment AB in inches.AB3xUse the segment to complete the statements.The value of x is v.The length of AR in inches isxCThe length of BC in inches is20 inchesIntro Pls help with explanation. Will give brainliest Splish Brothers Leasing Company signs a lease agreement on January 1, 2020, to lease electronic equipment to Sunland Company. The term of the non-cancelable lease is 2 years, and payments are required at the end of each year. The following information relates to this agreement:_________.1. Sunland has the option to purchase the equipment for $24,000 upon termination of the lease. It is not reasonably certain that Sunland will exercise this option.2. The equipment has a cost of $280,000 and fair value of $330,500 to Splish Brothers Leasing. The useful economic life is 2 years, with a residual value of $24,000.3. Splish Brothers Leasing desires to earn a return of 5% on its investment.4. Collectibility of the payments by Splish Brothers Leasing is probable.Prepare the journal entries on the books of Splish Brothers Leasing to reflect the payments received under the lease and to recognize income for the years 2020 and 2021. (Credit account titles are automatically indented when amount is entered. Do not indent manually. For calculation purposes, use 5 decimal places as displayed in the factor table provided and round final answers to 0 decimal places e.g. 5,275.) Given: Line A B intersects Line D E at point C. Prove: AngleDCB Is-congruent-toAngleECA Line D E intersects line B A at point C. A 2-column table with 6 rows. Column 1 is labeled statements with the entries line A B intersects line D E at point C, angle D C B and angle B C E are a linear pair, angle D C B is supplementary to angle B C E, angle B C E and angle E C A are a linear pair, angle B C E is supplementary to angle E C A, angle D C B is-congruent-to angle E C A. Column 2 is labeled reasons with the entries given, definition of linear pair, linear pair post, definition of linear pair, question mark, congruent to supplementary theorem. What is the missing reason in step 5? linear pair postulate given definition of complementary angles congruent complements theorem A stairwell in a certain office building is always congested at 12:00 p.m. and 2:00 p.m. The congestion is so bad that people have been complaining to the building's owner. Which of the following methods would be the most efficient way of reducing congestion? a. Assign each person in the building a time when they are allowed to use the stairwell. b. Encourage people to voluntarily keep off the stairwell during peak times. c. Charge everyone who uses the stairwell when it is congested the same fee which is high enough to discourage some people from using the stairwell during peak times. People who value the use of the stairs the most will be the ones who use the stairwell at peak times. d. Hold a lottery to determine who wins the right to use the stairwell at peak times. The Venn diagram below shows the numbers of students in a class who had curry (C) and salad (S) at lunch. A student is chosen at random. Find P(C U S) suggest two proper ways of handling money two factors of -48 have a difference of 19. the factor with a greater absolute value is positive. what is the sum of the factors? -19, -13 13 or 16 given the polynomial function below find F(2)F(x) = 5x^3 -2x^2 + 3 Five mol of calcium carbide are combined with 10 mol of water in a closed, rigid, high-pressure vessel of 1800 cm3 internal empty volume. Acetylene gas is produced by the reaction: Ok, so. I know Its -27 + 23x and X = 7 right?? Or am I doing something wrong. Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.The table gives the boiling point of water at different altitudes.Altitude (1,000 feet)Boiling Point of Water (F)0212.00.5211.11.0210.22.0208.42.5207.53.0206.64.0204.84.5203.9Based on the table, the linear equation that represents the change in waters boiling point for every 1,000-foot change in altitude has a slope of units. Calculate the mass percent by volume of 330.1 g of glucose (CHO, MM = 180.2 g/mol) in 325 mL of solution. Suppose that the function g is defined, for all real numbers, as follows.