I need the answer to the three questions I am struggling very hard to do this so I need help with the three questions

I Need The Answer To The Three Questions I Am Struggling Very Hard To Do This So I Need Help With The

Answers

Answer 1

Answer:

Part 1) The slope is [tex]m=25[/tex] (the cost of the gym is $25 per month)

Part 2) The y-intercept is the point (0,-100) see the explanation

Part 3) [tex]y=25x-100[/tex], After 14 months the cost is [tex]\$250[/tex]

Step-by-step explanation:

Part 1) What is the slope of the line

Let

x ---> the number of months

y ---> the total cost in dollars

we know that

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

From the graph take two points

(0,-100) and (4,0)

substitute the values in the formula

[tex]m=\frac{0+100}{4-0}[/tex]

[tex]m=\frac{100}{4}[/tex]

[tex]m=25[/tex]

Remember that the slope is equal to the unit rate of the linear equation

That means ----> the cost of the gym is $25 per month

Part 2) What is the y-intercept of the line

we know that

The y-intercept is the value of y when the value of x is equal to zero

Looking at the graph the y-intercept is the point (0,-100)

In context this problem, the y-intercept represent the rebate of $100 that the gym was offering for sign up for a full year      

Part 3) What is the linear equation for the line in this situation? What is the cost of the gym membership after 14 months

we know that

The linear equation in slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-intercept      

we have

[tex]m=25[/tex]

[tex]b=-100[/tex]

substitute the values

[tex]y=25x-100[/tex]

For x=14 months

substitute

[tex]y=25(14)-100[/tex]

[tex]y=350-100=\$250[/tex]


Related Questions

A sequence is defined by the recursive formula f(n+1)=f(n)-2. If f(1)=18, what is f(5)?

Answers

Answer:

[tex]f(5)=10[/tex]

Step-by-step explanation:

A sequence is defined by the recursive formula [tex]f(n+1)=f(n)-2[/tex]

If [tex]f(1)=18,[/tex] then

for [tex]n=1: f(2)=f(1+1)=f(1)-2=18-2=16[/tex]

for [tex]n=2: f(3)=f(2+1)=f(2)-2=16-2=14[/tex]

for [tex]n=3: f(4)=f(3+1)=f(3)-2=14-2=12[/tex]

for [tex]n=4: f(5)=f(4+1)=f(4)-2=12-2=10[/tex]

Answer:

10!

Step-by-step explanation:

Ron and Hermione are lifting feathers into the air with magic. Hermione can lift a feather 3,525
centimeters (cm) into the air. That is 5 times as high as Ron can lift a feather.
How high can Ron lift a feather with his magic?

Answers

Answer:705 cm

Step-by-step explanation:

3525 divided by 5

=705

Ron’s feather flew 705 cm

Ron’s feather flew 705 cm with his magic.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Hermione can lift a feather 3,525 centimeters (cm) into the air. 5 times as high as Ron can lift a feather.

So

We have to 3525 divided by 5;

3525 / 5

=705

Hence, Ron’s feather flew 705 cm with his magic.

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plz help super fast 4 mins

Answers

Answer:

A. 10%

Step-by-step explanation:

Let events A nad B be:

A = an employee is a female

B = an employee is under the age of 30.

Use formula

[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]

There are 200 employees, 150 of them are female, then

[tex]P(A)=\dfrac{150}{200}=\dfrac{3}{4}=0.75[/tex]

There are 200 employees, 40 of them are under the age of 30, then

[tex]P(B)=\dfrac{40}{200}=\dfrac{1}{5}=0.2[/tex]

The probability of randomly selecting an employee who is a female or under the age of 30 is 85%, then

[tex]P(A\cup B)=0.85[/tex]

Thus,

[tex]0.85=0.75+0.2-P(A\cap B)\\ \\0.85=0.95-P(A\cap B)\\ \\P(A\cap B)=0.95-0.85=0.1[/tex]

Therefore, the probability of randomly selecting an employee who is a female and under the age of 30 is 0.1 or 10%.

In the half-life function Q(t)=28550⋅((34)h)(th) Q ( t ) = 28550 ⋅ ( ( 3 4 ) h ) ( t h ) , what is the half-life, h h , if (34)h=12 ( 3 4 ) h = 1 2 ?

Answers

The half-life h is calculated to be approximately 2.41.

To determine the half-life h from the given half-life function:

[tex]\[ Q(t) = 28550 \cdot \left( \frac{3}{4} \right)^{\frac{t}{h}} \][/tex]

we need to solve for h in the equation:

[tex]\[ \left( \frac{3}{4} \right)^h = \frac{1}{2} \][/tex]

To solve for  h , we take the natural logarithm (ln) of both sides of the equation:

[tex]\[ \ln \left( \left( \frac{3}{4} \right)^h \right) = \ln \left( \frac{1}{2} \right) \][/tex]

Using the logarithmic property [tex]\(\ln(a^b) = b \ln(a)\)[/tex], we get:

[tex]\[ h \ln \left( \frac{3}{4} \right) = \ln \left( \frac{1}{2} \right) \][/tex]

Now, solve for h :

[tex]\[ h = \frac{\ln \left( \frac{1}{2} \right)}{\ln \left( \frac{3}{4} \right)} \][/tex]

Calculate the natural logarithms:

[tex]\[ \ln \left( \frac{1}{2} \right) = \ln(0.5) \approx -0.6931 \\\[ \ln \left( \frac{3}{4} \right) = \ln(0.75) \approx -0.2877 \][/tex]

Now, divide these values to find  h :

[tex]\[ h = \frac{-0.6931}{-0.2877} \approx 2.41 \][/tex]

So, the half-life  h  is approximately:

[tex]\[ h \approx 2.41 \][/tex]

Therefore, the half-life  h  rounded to the nearest hundredth is:

h = 2.41

If (10,3) and (6,31) are two
anchor points on a trend line,
then find the equation of the
line.​

Answers

Answer:

y = - 7x + 73

Step-by-step explanation:

y = mx + b   m: slope       b: y intercept

m = (y-y') / (x-x') = (31-3) / (6-10) = 28 / - 4 = -7

b = y - mx = 3 - (-7) x 10 = 73

equation: y = -7x + 73

check: 31 = -7 x 6 +73 = -42 + 73 = 31      (6,31)

Fifty students in the seventh grade are trying to raise at least $2000 for sports supplies. They already raised $750. How much should each student raise in order to meet the goal? Write your answer as an inequality.

Answers

Answer:

x ≥ 25

Step-by-step explanation:

In the seventh grade, fifty students are trying for sports supplies to raise at least $2000. They already have $750.

Let us assume that each student has to raise $x more to meet the goal.

Then, a total of 50 students will raise $50x more.

Therefore, the inequality to solve for x will be  

750 + 50x ≥ 2000

⇒ 50x ≥ 1250

x ≥ 25 (Answer)

Final answer:

Each seventh grade student should raise at least $25 in order to collectively meet the goal of raising $2000 for their sports supplies after having already raised $750.

Explanation:

The goal amount for the seventh grade sports supplies fundraiser is $2000. They have already raised $750, leaving them with $1250 still needed to reach their goal. If there are 50 students working on the fundraiser, we can set up an inequality to determine how much money each student should raise minimally to meet the goal of $2000. Here's the inequality:

Let x be the amount each student needs to raise.

50x + $750 ≥ $2000

To solve for x, we subtract $750 from both sides of the inequality:

50x ≥ $2000 - $750

50x ≥ $1250

Now divide both sides by 50 to find the amount each student should raise:

x ≥ $1250 / 50

x ≥ $25

Therefore, each seventh grade student should raise at least $25 to meet the $2000 goal.

A credit card issuer charges an APR of 19.66%, and its billing cycle is 30 days
long. What is its periodic interest rate?
O
A. 21.72%
OB. 1.62%
O C. 21.53%
O D. 1.22%
SUBMIT

Answers

Answer:

The periodic interest rate is 1.62 %

Step-by-step explanation:

Given:

Annual percentage rate  = 19.66%

Time period  = 30 days

To Find:

Periodic interest rate  =?

Solution:

The periodic interest rate r is calculated using the following formula:

r = (1 + \frac{i}{m})^{\frac{m}{n}} - 1

Where,

i = nominal annual rate

n = number of payments per year i.e., 12 for monthly payment, 1 for yearly payment and so on.

m = number of compounding periods per year

The period interest rate per payment is integral to the calculation of annuity instruments including loans and investments.

Now substituting the values we get

[tex]r = (1 + \frac{19.66}{12})^{\frac{12}{12}} - 1[/tex]

[tex]r = (1 + \frac{19.66}{12})^1 - 1[/tex]

r = (1 +1.638 ) - 1

r = (2.638 ) - 1

r = 1.638 %

5x+3+2y+x in expression

Answers

Answer:

6x+2y+3

Step-by-step explanation:

5x+3+2y+x

6x+2y+3

See if you're a genius by answering this question!

A 2-liter bottle of soda (67.6 ounces) costs $1.89. A case of twelve 12 ounce
cans of the same soda costs $2.99. Calculate the unit price (price/ounce) of each
item and determine which is the better bargain. Explain your answer.

Answers

Answer:

Do you know the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

67.6 oz cost $ 1.89

unit rate is : 1.89 / 67.6 = 0.027....rounds to 3 cents per oz

12 twelve oz cans.....thats (12 * 12) = 144 oz....for 2.99

2.99 / 144 = 0.0207....rounds to 2 cents per oz

the better bargain would be the 12 twelve oz cans because u save one penny more per oz then when ur buying the 2 liter bottle

What are the exact solutions of x2 − x − 4 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a?

A: x = the quantity of negative 1 plus or minus the square root of 15 all over 2
B: x = the quantity of 1 plus or minus the square root of 15 all over 2
C: x = the quantity of 1 plus or minus the square root of 17 all over 2
D: x = the quantity of negative 1 plus or minus the square root of 17 all over 2

Answers

Answer:C: x = the quantity of 1 plus or minus the square root of 17 all over 2

Step-by-step explanation:

Answer:

The answer is option C: x = the quantity of 1 plus or minus the square root of 17 all over 2

Step-by-step explanation:

The general form of the quadratic equation is ax² + bx + c = 0

The general solution of the quadratic equation is:

[tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2a}[/tex]

The given equation is x² − x − 4 = 0

So, a = 1 , b = -1 and b = -4

Substitute with a , b and c at the formula of the general solution.

The solution of the given equation = [tex]\frac{-(-1) \pm \sqrt{(-1)^2 - 4 * 1 * (-4)} }{2*1}= \frac{1\pm \sqrt{1 +16} }{2}=\frac{1\pm \sqrt{17} }{2}[/tex]

Comparing the solution with the given options

So, the answer is option C: x = the quantity of 1 plus or minus the square root of 17 all over 2

there are 13 items in a bakers dozen. If Natalie orders 9 bakers dozen of muffins, how many muffins did Matslie order?

Answers

Natalie ordered 117 muffins.
Final answer:

Natalie ordered a total of 117 muffins.

Explanation:

A bakers dozen is equal to 13 items. If Natalie orders 9 bakers dozen of muffins, we can calculate the total number of muffins by multiplying 13 by 9.

Number of muffins = 13 * 9 = 117

Therefore, Natalie ordered 117 muffins.

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What is the equation of a line that is parallel to y=5/6x-10 and passes through (12,8)?

Answers

Answer:

y-8=5/6(x-12)

Step-by-step explanation:

y-y1=m(x-x1)

y-8=5/6(x-12)

The required equation of the line is [tex]\rm y = \dfrac{5}{6}x-2[/tex].

Given that,

The equation of the line is,

[tex]\rm y = \dfrac{5}{6}(x-10)[/tex]

It passes through the point (12, 8).

We have to determine

The equation of the line is parallel to the given line.

According to the question,

The equation of the line is,

[tex]\rm y = \dfrac{5}{6}(x-10)[/tex]

The slope of the line [tex]\rm m_1[/tex] is 5/6.

If the two lines are parallel to each other then the slope of these lines is the same.

[tex]\rm m_1 = m_2\\\\\dfrac{5}{6} = \dfrac{5}{6}[/tex]

Therefore,

The equation of line passes through the point (12, 8) is,

[tex]\rm( y -y_1) = m (x-x_1)\\\\(y-8) = \dfrac{5}{6} (x-12)\\\\6 (y-8) = 5(x-12)\\\\6y-48=5x-60\\\\6y = 5x-60+48\\\\6y = 5x-12\\\\y = \dfrac{5}{6}x- \dfrac{12}{6}\\\\y = \dfrac{5}{6}x-2[/tex]

Hence, The required equation of the line is [tex]\rm y = \dfrac{5}{6}x-2[/tex].

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On a number line, what number is 2/3 of the way from 7 to 13?

Answers

Answer:

That would be about 11.667

The number that is 2/3 of the way from 7 to 13 on a number line is 11. This is found by calculating 2/3 of the distance between the two numbers and adding it to the starting number.

To find the number that is 2/3 of the way from 7 to 13 on a number line, you first calculate the distance between the two numbers, which is 13 - 7 = 6. Then you take 2/3 of that distance, which is 2/3 * 6 = 4. Lastly, you add this result to the starting number, in this case, 7, giving you 7 + 4 = 11. Therefore, the number that is 2/3 of the way from 7 to 13 is 11.

Please help! This is the third time I asked

Find k, the constant of proportionality, for the data in this table. Then write an equation for the relationship.

They equation needs to be in the form y=kx

K=

Equation:

Answers

Hi,
To find K you will pick a value from the x and then the corresponding Y value. Then we will plug it into the equation that is given y=Kx

Here:
X=25 Y=160
160=k25
(Divide both sides by 25 to isolate K)
K=6.5

Then plug K value into equation
Y=6.5X

Then if you want to check if that is correct you can pick a different point on the table and plug that into the equation to see if you get the same value.

Check:
X=50

Y=6.5x50
Y=320

Jade uses 8 cups of flour to make 24 muffins at that rate how much flour will it take to make 30 muffins

Answers

Answer:

10 cups

Step-by-step explanation:

First, we need to find the unit rate. 24/8 equals to 3. 3 is the amount of flour per cupcake. 24 + 3= 27 + 3= 30. You added twice to get to 30. 8+2=10


[tex] {x}^{2} - 1 < 18[/tex]

Answers

[tex]

x^2-1 < 18 \\

x^2 < 19 \\

x < \sqrt{19}

[/tex]

Hope this helps.

How do you graph 4x+2y=10

Answers

Step-by-step explanation:

2x+y = 5 (divided by 2)

If x= 0, y=5

If x= 1, y=3

If x=-1, y=7

So, coordinate points are (0,5),(1,3),(1,7) and so on.

Continue above explanation.

After , draw a graph on x,y axis .

Answer: I used a graphing calculator.

Step-by-step explanation:

8 15 27 blank 20 find the blank number​

Answers

the value of blank is 23.

Given series is,

8,15,27,_,20

We have to find the blank number.

Let the no. be x.

Since on observing the above series we find that the ratio of 15 to 8 is equal to the ratio of 27 to 15.

Hence, [tex]\frac{15}{8} =\frac{27}{15}=1.8[/tex]

This follows for the remaining terms also,

So, [tex]\frac{x}{27} =\frac{20}{x}[/tex]

[tex]x^{2} =20\times27\\x=\sqrt{540} \\x=23.23[/tex]

since, 23.23 is not a whole number so we take here 23.

Hence the value of blank is 23.

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Mickey buys 5 lemons and 3 limes for 3.70.Minnie buys 15 lemons and 4 limes for 7.85. How much does one lime cost?

Answers

Answer:

The cost of one lime is $0.65

Step-by-step explanation:

Let

x ---> the cost of one lemon

y ---> the cost of one lime

we know that

Mickey

[tex]5x+3y=3.70[/tex] ----> equation A

Minnie

[tex]15x+4y=7.85[/tex] ---> equation B

Solve the system by elimination

Multiply by -3 both sides equation A

[tex]-3(5x+3y)=-3(3.70)[/tex]

[tex]-15x-9y=-11.10[/tex] ----> equation C

Adds equation C and equation B

[tex]-15x-9y=-11.10\\15x+4y=7.85\\--------\\-9y+4y=-11.10+7.85\\-5y=-3.25\\y=0.65[/tex]

therefore

The cost of one lime is $0.65

Find the value of X and y?​

Answers

Answer:

y = 12 ; x = 14

Step-by-step explanation:

2x + 7 =3x - 7                   { corresponding angles}

7 + 7 = 3x - 2x

14 = x

x = 14

12y + 1 + 3x - 7 = 180     {co interior angles}

12y + 1 + 3 * 14 - 7 = 180

12y + 1 + 42 - 7 = 180

12y + 36 = 180

12y = 180 - 36

12y = 144

y = 12

I need help am confused

Answers

Answer:

125, 119, 113, 107, 101

Step-by-step explanation:

All you have to do is keep subtracting 6 from the numbers.

125 - 6 = 119

119 - 6 = 113

113 - 6 = 107

107 - 6 = 101

Answer:

119,210,337,506,723

Step-by-step explanation:

x³-6 where x=5,6,7,8,9

5³-6=15-6=119

6³-6= 216-6=210

7³-6=343-6= 337

8³-6=512-6=506

9³-6= 729-6=723

The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except –3. Which of the following describes the domain of (g o f) (x)?
all real values except x not-equals negative 3 and the x for which f (x) not-equals 7
all real values except x not-equals negative 3 and the x for which f (x) not-equals negative 3
all real values except x not-equals 7 and the x for which f (x) not-equals 7
all real values except x not-equals 7 and the x for which f (x) not-equals negative 3

Answers

Answer:

The last is the correct option

"all real values except x not-equals 7 and the x for which f (x) not-equals negative 3"

Step-by-step explanation:

Domain and Range of Functions

Given the function f(x), the domain of f is the set of all the values that x can take such f(x) exists. The range of f is the set of all the values that f takes.

We have a problem where we have to find the domain of a composite function. Let's recall that being f and g real functions, then

[tex]g\circ f=g(f(x))[/tex]

is the composite function of f and g.

We know the domain of f is the set of all real values except 7, and the domain of g is the set of all real values except –3.

Since f is the innermost function, the domain of the composite function is directly restricted by the domain of f. So, x cannot be 7.

Now, g takes f as its independent variable, and we know the domain of g excludes -3. It can be found that f(x) cannot be -3 because it will cause g not to exist.

Thus, the domain of [tex]g\circ f[/tex] is

All real numbers except x=7 and those where f(x)=-3

The last is the correct option

What is the value of x in the equation 5x 3-4x2

Answers

Answer:

x^2(5x-4)

Step-by-step explanation:

5x^3-4x^2=x^2(5x-4)

The graph of y= -4x + 7 is:

Answers

b and d can be eliminated because there are multiple solutions.

answer: A, because it shows all solutions to the equation

Answer: A line that shows the set of all solutions to the equation

Step-by-step explanation:

Given :

y = -4x + 7

The graph is a linear graph with negative slope.

the variable x could be any number , this means there could be as many solutions as possible.

this means that option B is out already.

Also , the equation is  a graph and not a point , so option C and D  are also out.

Option A will definitely fit in.

I need help trying to find out what is 73% of 83?

Answers

Answer:

60.59

Step-by-step explanation:

73%=0.73

0.73*83=60.59

60.59 is the number you're looking for.

Hope this helps, if not, comment below please!!!!

at a clothing store, jackets are on sale for 30% off.sale tax is 5%.which expression will calculate the total cost of a jacket with an original price of x

Answers

The expression to calculate the total cost of a jacket with an original price of x is 0.7x + 5 % of 0.7x

Solution:

Given that at a clothing store, jackets are on sale for 30% off

Sales is 5 %

To find: Expression to calculate the total cost of jacket

Let "x" be the original price of Jacket

Price of jacket after offer = original price of Jacket - 30 % of original price

Price of jacket after offer = x - 30 % of x

Price of jacket after offer = [tex]x - \frac{30}{100}x = 0.7x[/tex]

The total cost of jacket is sum of price of jacket after offer and sales tax

total cost of jacket = price of jacket after offer + sales tax

total cost of jacket = 0.7x + 5 % of 0.7x

Thus the expression to calculate the total cost of a jacket with an original price of x is 0.7x + 5 % of 0.7x

plz help in the attachment below

Answers

Answer:

  M(t) = 741·(1/2)^(t/5730)

Step-by-step explanation:

One way to write an exponential function is this:

  value at time t = (initial value) · (multiplier over period)^(t/period)

Here, the initial value is given as 741 grams, and the time period is 5730 years. The multiplier over that period is 1/2, since half of the quantity remains after that time. The problem statement tells us that "value at time t" is M(t), so we have ...

  M(t) = 741·(1/2)^(t/5730) . . . . . t in years; M(t) in grams

What is the square root of the day of the month that Christmas falls on?

Answers

Answer:

5

Step-by-step explanation:

The day of the month Christmas falls on is 25th because Christmas falls on 25th December. The square root of 25 is 5 because 5 squared is 25

PLEASE SOMEONE HELP ME ON THIS QUESTION!!!

Answers

Answer:

[tex]\frac{7}{3}[/tex]

Step-by-step explanation:

Im going to assume a faction greater than one means an improper fraction.

Converting [tex]2 \frac{2}{6}[/tex] gets [tex]\frac{14}{6}[/tex] which simplified is [tex]\frac{7}{3}[/tex]

Write an linear equation that passes through (5,2) and (6,4)

Answers

Answer:

2x-y=8

Step-by-step explanation:

(6,4)-(5,2)=(1,2)

L: 2x-y=k

(5,2) -> L, k=8

2x-y=8

Other Questions
please help me choose the correct answer for this french question!Ecris une phrase au pass compos en utilisant le sujet et le verbe suivants: tu (voyager)a. Tu a voyagb. Tu as voyag. c. Tu a voyager. d. Tu as voyager. In paragraph 4 of The Diary of Samuel Pepys, how does Pepys's word choice create a vivid picture of the Great Fire of London?"from The Diary of Samuel Pepysby Samuel Pepys"2nd (Lord's day). Some of our mayds sitting up late last night to get things ready against our feast to-day, Jane called us up about three in the morning, to tell us of a great fire they saw in the City. So I rose and slipped on my night-gowne, and went to her window, and thought it to be on the back-side of Marke-lane at the farthest; but, being unused to such fires as followed, I thought it far enough off; and so went to bed again to sleep. About seven rose again to dress myself, and there looked out at the window and saw the fire not so much as it was and further off. So to my closett to set things to rights after yesterday's cleaning. By and by Jane comes and tells me that she hears that above 300 houses have been burned down to-night by the fire we saw, and that it is now burning down all Fish-street, by London Bridge. So I made myself ready presently, and walked to the Tower, and there got up upon one of the high places, Sir J. Robinson's little son going up with me; and there I did see the houses at the end of the bridge all on fire, and an infinite great fire on this and the other side the end of the bridge; which, among other people, did trouble me for poor little Michell and our Sarah on the bridge. So down, with my heart full of trouble, to the Lieutenant of the Tower, who tells me that it begun this morning in the King's baker's house in Pudding-lane, and that it hath burned St. Magnus's Church and most part of Fish-street already. So I down to the water-side, and there got a boat and through bridge, and there saw a lamentable fire. Poor Michell's house, as far as the Old Swan, already burned that way, and the fire running further, that in a very little time it got as afar as the Steele-yard, while I was there. Everybody endeavouring to remove their goods, and flinging into the river or bringing them into lighters that lay off; poor people staying in their houses as long as till the very fire touched them, and then running into boats, or clambering from one pair of stairs by the water-side to another. . . . Having seen as much as I could now, I away to White Hall by appointment, and there walked to St. James's Parke, and there met my wife and Creed and Wood and his wife, and walked to my boat; and there upon the water again, and to the fire up and down, it still encreasing, and the wind great. So near the fire as we could for smoke; and all over the Thames, with one's face in the wind, you were almost burned with a shower of fire-drops. This is very true; so as houses were burned by these drops and flakes of fire, three or four, nay, five or six houses, one from another. When we could endure no more upon the water, we to a little ale-house on the Bankside, over against the Three Cranes, and there staid till it was dark almost, and saw the fire grow; and, as it grew darker, appeared more and more, and in corners and upon steeples, and between churches and houses, as far as we could see up the hill of the City, in the most horrid malicious bloody flame, not like the fine flame of an ordinary fire. What chemicals are produced during the use of e-cigarettes In Bob Shaw's short story, "The Light of Other Days," he describes something called slow glass. In the story, a married couple buys a 4-foot-wide window of slow glass that has been out on a beautiful hillside in Ireland, collecting light for 10 years. The idea is that the light takes 10 years to pass through the glass, so if you mount the window in your house it will give a view of the Irish landscape for the next 10 years, slowly unveiling everything that happened there. You can read the full short story via the link below, if you are interested.Link to Bob Shaw's short story: The Light of Other Days.(a) In the short story, the couple buys a window that is one-quarter-inch thick, and takes light 10 years to pass through. Let's say that you were able to locate a supplier of slow glass, and you bought some glass that was 5.00 mm thick, with the light taking 7.00 years to pass through. Taking one year to be 365.24 days, calculate the index of refraction of your piece of slow glass.In 1999, Lene Hau, a physicist at Harvard University, received quite a bit of attention for getting light to travel at bicycle speed (later, she was able to temporarily stop light completely). The speed of a bicycle is a lot faster than light travels through the slow glass from the story, but it is still orders of magnitude less than the speed at which light travels through vacuum. If you're interested, you can follow this link to learn more about Lene Hau.(b) Lene Hau used something called a Bose-Einstein condensate to slow down light. If the light is traveling at a speed of 40.0 km/hr through the Bose-Einstein condensate, what is the effective index of refraction of the condensate? In January of 2015, the appropriate construction cost index had a value of $3,260. In January of 2005, the value was $1,746. In January 2010 you received a bid for a structure of 7.25 million. Another building (virtually identical) is planned for a bid opening in January 2020. Estimate the new building bid. The output of the Private Sector provides about _____ percent of the production of the nation.. In many population growth problems, there is an upper limit beyond which the population cannot grow. Many scientists agree that the earth will not support a population of more than 16 billion. There were 2 billion people on earth in 1925 and 4 billion in 1975. If is the population years after 1925, an appropriate model is the differential equationdy/dt=ky(16-y)Note that the growth rate approaches zero as the population approaches its maximum size. When the population is zero then we have the ordinary exponential growth described by y'=16ky. As the population grows it transits from exponential growth to stability.(a) Solve this differential equation.(b) The population in 2015 will be(c) The population will be 9 billion some time in the year What is the selling price of merchandise listed at $5,900 if discounts of 15%, 10%, and 4% are given? The price of the dinner for the both of them was $30. They tipped their server 20% of that amount. How much did each person pay, if they shared the price of dinner and the tip equally? Describing a topic, idea, or concept you find so engaging that it makes you lose all track of time. Why does it captivate you? What or who do you turn to when you want to learn more? Sachin Tendulkar is a very famous batsman. He has curly hair and is short in height. His wife is a doctor. He has 2 children. Which of these is MOST LIKELY TO BE TRUE about his children? A. They may marry doctors B. They may have 2 children C. They may be short in height D. They may become famous batsmen A mule is the infertile offspring of a horse and a donkey Mules have historically been used as mounts and beasts of burden,especially in rough terrain such as mountains or the Grand Canyon. Mules are generally stronger than either horses or donkeys,can tolerate more extreme temperatures, have greater endurance, are longer-lived, and may require less food and waterThere are places in America and other parts of the world where herds of wild horses live, well-adapted to the environment. If mulesare so much better adapted to harsh environments than either horses or donkeys, why have there never been populations of wildmules?A. because mules cannot reproduceB. because mules are not naturalC. because mules are domesticated animalsD.all of these TIME REMAINING55:24Select whether the sentence below is a simple, compound, complex or compound-complex sentence.Tools and weapons that date back to before 500 BCE show great skill, and they serve as evidence that their makers were verytalenteda Simplec Compound-Complexb. Compoundd. ComplexPlease select the best answer from the choices providedMark this and retumSave and ExitNextNextSubmit Martin Luther King Jr. went to jail many times for acts of civil disobedience, such as ignoring court orders prohibiting marches and boycotts. Some people, even those who agreed with him, criticized him for disobeying the law. Today, however, most people view these actions as a form of? what is the slope of the line that passes through the pair of point? (5, 7), (2, 1) When the implied value exceeds the aggregate fair values of identifiable net assets, the residual difference is accounted for as:a. excess of implied over fair value.b. a deferred credit.c. difference between implied and fair value.d. goodwill. Let f(x)=4x.Let g(x)=4x+2.Which statement describes the graph of g(x)with respect to the graph of f(x)?g(x) is translated 2 units left from f(x).g(x) is translated 2 units down from f(x).g(x) is translated 2 units up from f(x).g(x) is translated 2 units right from f(x). x = - y - 2 0.5x + y = 1 What is universal theme? Does the biomedical science community have the right or responsibility to cure all human impairments? Steam Workshop Downloader