What is 1+1 but multiplied by 2?

Answers

Answer 1

Answer:4

Step-by-step explanation:1+1 is 2 and 2x2 is 4


Related Questions

find the percent of change to nearest percent:56 to 80 ​

Answers

Answer:

26 %

Step-by-step explanation:

you just go from 80 and count backwards all the way to 56 and count how many spaces or tally's that was and then you got your answer.

Jenna earned 557 her first week working at a coffee stand.The next week she weared 773. How much did jenna earn her fist two weeks working at the coffee stand

Answers

Answer:

Jenna earned 1330 in first two weeks working at the coffee stand.

Step-by-step explanation:

Given:

Amount earned in 1 week = 557

Amount earned in next week =773

We need to find the amount earned in 2 weeks.

Solution:

Now we know that;

Amount earned in 2 weeks is equal to sum of Amount earned in 1st week and Amount earned in next week.

framing in equation form we get;

Amount earned in 2 weeks = [tex]557+773 = 1330[/tex]

Hence Jenna earned 1330 in first two weeks working at the coffee stand.

A baseball team plays in a stadium that holds 52,000 spectators. With ticket prices at $10, the average attendance had been 5,000. When ticket prices were lowered to $8, the average attendance rose to 15,000. (a) Find the demand function (price p as a function of attendance x), assuming it to be linear.

Answers

Answer:

  p = (-1/5000)x +11

Step-by-step explanation:

We are given two points (x, p) as (5000, 10) and (15000, 8). Using the two-point form of the equation of a line, we can find the equation to be ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1 . . . . . 2-point form

  p = (8 -10)/(15000 -5000)(x -5000) +10

  p = -2/10000(x -5000) +10

  p = -x/5000 +11 . . . . . linear demand function

Final answer:

A student asked how to find the demand function for a baseball team's ticket prices based on attendance. By finding the slope between two given points and using the point-slope form, the demand function is determined to be p = $11 - 0.0002x.

Explanation:

To find the demand function that relates the price p of baseball tickets to the average attendance x, we can use the two given points (x, p) = (5,000, $10) and (15,000, $8) and assume the relationship is linear. We can express the demand function as p = mx + b, where m is the slope and b is the y-intercept.

First, find the slope m:

m = (p2 - p1) / (x2 - x1)

m = ($8 - $10) / (15,000 - 5,000)

m = -$2 / 10,000 = -0.0002

Next, we'll use the slope and one of the points to find b, the y-intercept. Plugging into the point-slope form:

p - p1 = m(x - x1)

$10 - p = -0.0002(5,000 - x)

$10 - p = -1 + 0.0002x

p = $11 - 0.0002x

The demand function is p = $11 - 0.0002x.

Which expression is equivalent to the following complex fraction?

StartFraction negative 2 Over x EndFraction + StartFraction 5 Over y EndFraction divided by StartFraction 3 Over y EndFraction minus StartFraction 2 Over x EndFraction

Answers

Answer:

(-2y+5x) / (3x - 2y)

Step-by-step explanation:

If we write this sentence, we have:

((-2/x) + (5/y)) / ((3/y) - (2/x))

If we do LCM in the denominators of each fraction, we have:

((-2y+5x)/xy) / ((3x - 2y)/xy)

We can cut the 'xy' in the numerator and denominator of the whole fraction:

(-2y+5x) / (3x - 2y)

The final expression we have is (-2y+5x) / (3x - 2y)

Answer:

a

Step-by-step explanation:

(-2y+5x) / (3x-2y)

A TV has a listing price of $596.95 before tax if the sale rate is 9.25% what’s the total cost

Answers

Answer:

$651.46‬

Step-by-step explanation:

$596.95 * 9.25% = 55.21

$596.25 + 55.21 =651.46‬

3. An amusement park charges $6 to enter, and $3 per game. If you paid a
total of $18, how many games did you play?

Answers

Answer:

You played 4 games

Step-by-step explanation:

You start with $18 and subtract 6 from the entry fee. Then, you divide the 12 you got from that and divide it by 3

Final answer:

To determine the number of games played, subtract the access fee from the total cost and then divide by the per-game price. In this case, the student paid for an access fee of $6, and played 4 games at $3 each to reach a total cost of $18.

Explanation:

The question posed is a basic algebra problem involving a fixed entry fee and a variable cost per game. The given information states that the access fee is $6 and the per-unit price, which in this case is the cost per game, is $3. If the total amount paid was $18, the number of games played can be calculated.

To solve, let's denote the number of games played as x. The total cost is made up of a fixed access fee plus the cost of the games played. The expression for the total cost is thus $6 (access fee) + $3x (cost of games).

The equation based on the total amount paid would be:

6 + 3x = 18

To find the value of x, we subtract the access fee from the total amount paid:

18 - 6 = 3x

That simplifies to:

12 = 3x

Which can then be solved by dividing both sides by 3:

x = 12 / 3

x = 4

The student thus played 4 games.

Determine which pair of points has a positive slope.

A. (5, -4), (-2, 1)
B. (-10, -2), (6,6)
C. (6, -10), (2, 10)
D. (5, -1), (-6, 6)

Answers

the answer is B, (-10,-2) , (6,6)

Serena has attached a 10 inch ribbon to the corners of a frame to hang it on the wall. The frame 9 inches wide. How far above the top of the frame will the hook need to be? Round

Answers

Answer: The hook would be 2.2 inches (approximately) above the top of the frame

Step-by-step explanation: Please refer to the picture attached for further details.

The top of the picture frame has been given as 9 inches and a 10 inch ribbon has been attached in order to hang it on a wall. The ribbon at the point of being hung up would be divided into 5 inches on either side (as shown in the picture). The line from the tip/hook down to the frame would divide the length of the frame into two equal lengths, that is 4.5 inches on either side of the hook. This would effectively give us two similar right angled triangles with sides 5 inches, 4.5 inches and a third side yet unknown. That third side is the distance from the hook to the top of the frame. The distance is calculated by using the Pythagoras theorem which states as follows;

AC^2 = AB^2 + BC^2

Where AC is the hypotenuse (longest side) and AB and BC are the other two sides

5^2 = 4.5^2 + BC^2

25 = 20.25 + BC^2

Subtract 20.25 from both sides of the equation

4.75 = BC^2

Add the square root sign to both sides of the equation

2.1794 = BC

Rounded up to the nearest tenth, the distance from the hook to the top of the frame will be 2.2 inches

To find the distance above the frame for hanging, use the Pythagorean theorem by considering the diagonal created by the ribbon. The hook needs to be approximately 5.39 inches above the top of the frame.

To find how far above the top of the frame the hook needs to be, we need to consider the diagonal of the frame created by the ribbon. Using the Pythagorean theorem, we can calculate this distance.

Width of the frame = 9 inchesLength of the ribbon attached diagonally = 10 inchesUsing Pythagorean theorem: (9)² + x² = (10)²x = square root of (10² - 9²)x = 5.39 inches

Therefore, the hook needs to be approximately 5.39 inches above the top of the frame.

Eighty-five percent of what number is 42.5?
A.
180
B.
36.125
C.
50
D.
30

Answers

The for this problem would be C, 50

Answer:

50

Step-by-step explanation:

Hope this helped

:)

Circle A has a circumference of 8/3 m. Circle B has a diameter that is 3/2 times as long as Circle A’s diameter. What is the circumference of Circle B?

Answers

Answer:

the answer is 4

Step-by-step explanation:

if my calculations are right

y= arctan(-4x) when dy/dx at x = 3

Answers

Answer:

200\cdot25-84\cdot\frac{91}{12-65}\cdot\frac{8412}{1.000}-2000000\cdot46512

Step-by-step explanation:=−9.30227818×1010

The answer is D-12/d3

When a number is increased by 2.8%, the result is 56. What is the original number to
the nearest tenth?

Answers

Answer:

The original number was 54.5.

Step-by-step explanation:

If a number is increased by 2.8%, then it is 102.8% of it's original number.

In mathematics, "of" in virtually all cases means "multiplied by".

Therefore, we do the opposite:

1. Convert to a decimal.

102.8% = 1.028

2. Divide by the decimal.

[tex]56 \div 1.028 = 54.47[/tex]

3. Round it to the nearest tenth.

54.47 rounds to 54.5.

Final answer:

To find the original number when increased by 2.8%, we set up and solve an equation. The original number to the nearest tenth is approximately 54.4.

Explanation:

To find the original number, we can set up the equation:

x + 0.028x = 56

Simplifying gives:

1.028x = 56

Dividing both sides by 1.028 gives:

x = 56 / 1.028 ≈ 54.41

So, the original number to the nearest tenth is approximately 54.4.

Learn more about  Original Number :

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Find the missing length of the triangle.
1.1 yd
6.1 yd

Answers

Answer:

6 yards.

Step-by-step explanation:

You can find this answer by using the Pythagorean theorem. Because c in the equation will always stand for the hypotenuse, the longest side, it's easier to fill in the blanks with the stuff given to you.

In this case, 1.1^2 + a^2 = 6.1^2

If you simplify, the answer should be 6 yards.

a^2+b^2 = c^2, so a = (c^2-b^2)^1/2

a = ((6.1)^2-(1.1)^2)^1/2 = 6

HELP ME SOMEONE PLEASE
sorry for yelling i just want to know if im doing this right, thank you

Answers

Answer:

I'm just answering for no reason.

Step-by-step explanation:

No reason.

In order to answer the following question, please use the following image down below:

Find the value of x.

X=(Blank)

What is the value of X? Please show all the work on how you got your answer.

(If you can't explain your work, then it's fine. The only thing that I'm asking for is for you to show the work alongside your answer)

Answers

Answer:

12

Step-by-step explanation:

X^2 = (7+9)(9) -->

X^2 = 16(9) -->

X = 12

which of the following answers is the simplified form of 3^2 x 3^-6?

Answers

Answer:

where are the answer choices?

Step-by-step explanation:

Answer:

It is 3^-4

Step-by-step explanation:

-6+2=-4

What is 9.22 × 103 in standard form

Answers

Answer:

=>9.4966×10^2

Step-by-step explanation:

9.22×103

=>949.66

in standard form

=>9.4966×10^2

9.22x103 The Answerrrr is

which is true regarding the system of equations 6x+2y=46 3x+y=23

Answers

Answer:

Step-by-step explanation:

hello :

the system is : 6x+2y=46

                       3x+y=23

if you multiply the second equation by : 2 you have 6x+2y =46(same  first equation )

conclusion : the system have infinity solutions ( graphically same line)

conclusion :

9. Bryce goes och for a walk. He walks 9/8 miles from home. He walks back 1/2

mile before meeting up with his friend Mya. Write and simplify an expression (a

sum) that describes this situation.

Answers

Answer:

Expression:

[tex]\frac{9}{8}+(-\frac{1}{2})=\frac{5}{8}[/tex]

Step-by-step explanation:

We are given that

Bryce traveled distance from his home=[tex]\frac{9}{8}miles[/tex]

Bryce traveled distance back=[tex]\frac{1}{2}miles[/tex]

We have to find the expression and then simplify.

According to question

Total distance traveled by Bryce

=[tex]\frac{9}{8}+(-\frac{1}{2})[/tex]

This is required expression.

Total distance traveled by Bryce=[tex]\frac{9-4}{8}=\frac{5}{8}miles[/tex]

Hence, the total distance traveled by Bryce from his home=[tex]\frac{5}{8}miles[/tex]

Final answer:

To find the total distance Bryce walked, we add 9/8 miles to 1/2 mile, which equals 13/8 miles or simplified to 1 5/8 miles.

Explanation:

Bryce initially walks 9/8 miles from home. On his way back, he walks 1/2 mile before meeting up with his friend Mya. To describe this situation with an expression and simplify it, we add these distances together:

Total distance walked = 9/8 miles + 1/2 mile

To simplify, find a common denominator (which in this case is 8), and then add the numerators:

Total distance walked = (9/8) + (4/8)

Total distance walked = (9 + 4) / 8

Total distance walked = 13/8

Total distance walked = 1 5/8 miles

This is the sum describing the distance Bryce walked before meeting Mya, which simplifies to 1 and 5/8 miles.

Write an equation for an ellipse centered at the origin, which has foci at (\pm8,0)(±8,0)left parenthesis, plus minus, 8, comma, 0, right parenthesis and vertices at (\pm17,0)(±17,0)left parenthesis, plus minus, 17, comma, 0, right parenthesis

Answers

Answer:

The equation of the ellipse is [tex]\frac{x^{2}}{(17)^{2}}+\frac{y^{2}}{(15)^{2}}=1[/tex]

Step-by-step explanation:

The standard form of the equation of an ellipse with center (0 , 0) is

[tex]\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1[/tex] , where

The coordinates of the vertices are (± a , 0)  The coordinates of the foci are (± c , 0) , where c ² = a² - b²  

∵ The ellipse is centered at the origin

∴ The center of it is (0 , 0)

∵ It has foci at (± 8 , 0)

- The coordinates of the foci are (± c , 0)

c = ±8

∵ It has Vertices at (± 17 , 0)

- The coordinates of the vertices are (± a , 0)

a = ±17

c² = a² - b²

- Substitute the values of c and a to find b

∴ (8)² = (17)² - b²

∴ 64 = 289 - b²

- Add b² to both sides

∴ b² + 64 = 289

- Subtract 64 from both sides

∴ b² = 225

- Take √  for both sides

b = ± 15

∵ The equation of the ellipse is [tex]\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1[/tex]

- Substitute the values of a and b in it

∴ [tex]\frac{x^{2}}{(17)^{2}}+\frac{y^{2}}{(15)^{2}}=1[/tex] ⇒ [tex]\frac{x^{2}}{289}+\frac{y^{2}}{225}=1[/tex]  

The equation of the ellipse is [tex]\frac{x^{2}}{(17)^{2}}+\frac{y^{2}}{(15)^{2}}=1[/tex]

The standard form equation for this ellipse is (x²/17²) + (y²/15²) = 1.

To find the equation of an ellipse centered at the origin with foci at (±8,0) and vertices at (±17,0), we need to follow these steps:

Determine the values of 'a' and 'c': The vertices give us the value of 'a', which is the distance from the center to a vertex. Here, a = 17.

The foci give us the value of 'c', which is the distance from the center to a focus. Here, c = 8.

Using the relationship c² = a² - b², we can calculate 'b'.

c² = a² - b²

8² = 17² - b²

64 = 289 - b²

b² = 225

b = 15

So, the standard form of the equation of the ellipse is: (x²/17²) + (y²/15²) = 1

The volume of this cube is 64 cubed cm. What is the cube's height? *hint l x w x h = 64 ----The shape is a cube PLZ HURRY WILL GIVE BRAINLIEST!

Answers

Answer:

4 cm

Step-by-step explanation:

It's just what cubed is 64. The answer is 4 by the way since

4*4*4=16*4=64

The height (or length of one side) of the cube is 4 cm.

To find the cube's height, we need to use the formula for the volume of a cube.

The volume of a cube is given by the formula:

V = s³, where V is the volume and s is the length of one side of the cube.

In this case, we are given that the volume of the cube is 64 cubic cm. So, we can set up the equation:

64 = s³

To find the height (or length of one side), we need to take the cube root of both sides of the equation:

∛64 = ∛(s³)

Taking the cube root of 64, we get:

∛64 = 4

Therefore, the height (or length of one side) of the cube is 4 cm.

Learn more about volume of a cube click;

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Here are the weights, in pounds, of a sample of 13 adult female golden retriever dogs: 59.0, 54.1, 53.7, 51.6, 57.5, 58.7, 58.0, 53.8, 48.9, 53.9, 51.6, 55.9, and 57.4. what are the degrees of freedom, and what's the critical value of t needed to construct a 95% confidence interval for the population mean weight of adult female golden retrievers? answer:

Answers

Answer:

95% confidence interval for the population mean weight of adult female golden retrievers is [53.01 pounds , 56.78 pounds].

Step-by-step explanation:

We are given that the weights, in pounds, of a sample of 13 adult female golden retriever dogs :

59.0, 54.1, 53.7, 51.6, 57.5, 58.7, 58.0, 53.8, 48.9, 53.9, 51.6, 55.9, and 57.4.

Firstly, the pivotal quantity for 95% confidence interval for the population mean is given by;

                         P.Q. = [tex]\frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean weight =  [tex]\frac{\sum X }{n}[/tex]  = 54.9 pounds

            s = sample standard deviation =  [tex]\frac{\sum (X-\bar X)^{2} }{n-1}[/tex]  = 3.12 pounds

           n = sample of female = 13

           [tex]\mu[/tex] = population mean weight

Here for constructing 95% confidence interval we have used One-sample t test statistics because we don't know about population standard deviation.

So, 95% confidence interval for the population mean, [tex]\mu[/tex] is ;

P(-2.179 < [tex]t_1_2[/tex] < 2.179) = 0.95  {As the critical value of t at 12 degree

                                          of freedom are -2.179 & 2.179 with P = 2.5%}  

P(-2.179 < [tex]\frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }[/tex] < 2.179) = 0.95

P( [tex]-2.179 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]{\bar X -\mu}[/tex] < [tex]2.179 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95

P( [tex]\bar X-2.179 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X +2.179 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95

95% confidence interval for [tex]\mu[/tex] =  [tex]\bar X \pm 2.179 \times {\frac{s}{\sqrt{n} } }[/tex]

                                             = [ [tex]54.9 - 2.179 \times {\frac{3.12}{\sqrt{13} } }[/tex] , [tex]54.9 +2.179 \times {\frac{3.12}{\sqrt{13} } }[/tex] ]

                                             = [53.01 pounds , 56.78 pounds]

Therefore, 95% confidence interval for the population mean weight of adult female golden retrievers is [53.01 pounds , 56.78 pounds].

June ran 1/4 of a mile in 3 minutes. How long will it take her to run a full mile?

Answers

Answer:

12 minutes !

Step-by-step explanation:

Hope this helps!!

Answer:

12 minutes

Step-by-step explanation:

3 x 4 = 12

y = 1/2x - 6
X = - 4

What is the solution to the system of equations?
titte



(-8, -4)
(-4,-8)
(-4,4)
(4,-4)​

Answers

Step-by-step explanation:

Putting value of x

Y = 1/2 ( - 4) - 6

Y = - 2 - 6

Y = - 8

( - 4, - 8)

PLEASE MATH HELP ( EASY )

Answers

Answer:

[tex]\frac{169\pi }{180}[/tex]

Step-by-step explanation:

To convert from degree measure to radian measure

radian = degree × [tex]\frac{\pi }{180}[/tex], thus

radian measure = 169 × [tex]\frac{\pi }{180}[/tex] = [tex]\frac{169\pi }{180}[/tex]

Which expression is equivalent to 12x – 3x? *

8x
9
3(3x - x)
x(12-3)

Answers

X(12-3) which is 9x the same as the question

Answer:

x(12-3)

Step-by-step explanation:

The expression given is equal to 9x. The only given answer equivalent to 9x is the last one, x(12-3).

Regions $A, B, C, J$ and $K$ represent ponds. Logs leave pond $A$ and float down flumes (represented by arrows) to eventually end up in pond $B$ or pond $C$. On leaving a pond, the logs are equally likely to use any available exit flume. Logs can only float in the direction the arrow is pointing. What is the probability that a log in pond $A$ will end up in pond $B$?

Answers

Answer:

Step-by-step explanation:

1 1/5

Answer:

5/18

Step-by-step explanation:

There is a 1/3 chance of going to k. From K, there is a 1/2 chance of going to b, so that way has a prob of 1/6. By the same concept, there is a 1/9 chance of going to B via J. The prob you are asking for is 5/18

PLEASE HELP!!!! Write the equation of the circle in general form.
Show all of your work please.

Answers

Answer:

  x^2 +y^2 -8x +4y +11 = 0

Step-by-step explanation:

The center of the given circle is located at (x, y) = (4, -2). Its radius is 3.

You know this because the center is halfway between the vertical and horizontal extremes, and the radius is half the difference of those extremes. You can determine this by counting squares, or "by eye," or by working with the coordinates of the extreme points.

For example, the horizontal extremes are (1, -2) and (7, -2). The diameter is the difference of the x-values: 7 -1 = 6, so the radius is 6/2 = 3. The x-coordinate of the center is (1+7)/2 = 4.

__

The standard form of the equation of a circle is ...

  (x -h)^2 + (y -k)^2 = r^2

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

For this circle with center (4, -2) and radius 3, the standard form equation is ...

  (x -4)^2 + (y +2)^2 = 9

General form has the parentheses removed and the polynomial written in descending powers of the variables:

  x^2 -8x +16 +y^2 +4y +4 = 9

  x^2 +y^2 -8x +4y +11 = 0

Can someone please help with this?

Answers

Answer:

8 square units

Step-by-step explanation:

Draw vertical and horizontal lines, dividing the triangle into 9 equally sized smaller triangles.  4 of the smaller triangles are shaded, so the area of the square is 4/9 the area of the triangle.

A = 4/9 (½ (6)(6))

A = 8

1. What is the shape of the distribution below?
(a) The distribution is symmetrical
(b) The distribution is not symmetrical

Answers

Answer: A

Step-by-step explanation: Because you have a dot in the middle and it is very equal

Answer: the distribution is symmetrical.

Step-by-step explanation:

Other Questions
Which lists the steps of Meiosis II in the correct order?anaphase II, metaphase II, prophase II, telophase IIprophase II, metaphase II, anaphase II, telophase IIanaphase II, telophase II, prophase II, metaphase IIprophase II, telophase II, anaphase II, metaphase II Use the illustration and reading to define the process of transcription below. 5.After the first lesson, I ______________ a solo on the drums. (play)(1 Point)playsplaytplaiedplayed Laura mowed 8 lawns. She earned $12, $10, $15, $15, $15, $10, and $9 for seven lawns. How much did she earn the eighth time if the mean of the data is $12? * Kesha threw her baton up in the air from the marching band platform during practice. The equation h(t) = 16t + 54t + 40 gives the height of the baton, in feet, t seconds after it is thrown from the platform. What is the height of the platform? At what speed was the baton thrown? If she doesn't catch it, when will it hit the ground? What is the rate of the interest on $560 for two years is $145.60? In this excerpt, highlight where a shift in structure takes place.Sometimes I feel like I have walked into the middle of a movie. It is a strange movie with no plot and no beginning. . . . CUT TO: STEVE pulling blanket over his head as screen goes dark.Monster,Walter Dean MyersIn this excerpt, what do you conclude about Steve from the information written in first person and written from the cameras perspective?A. Steve is watching a strange movie.B. Steve is hiding under the blankets.C. Steve is in a movie where he walked in late.D. Steve cannot believe that what is happening is real. What does the line on the bottom of the following signs mean? If the campers at Camp Grilled Meat prefer hot dogs to hamburgers by a ratio of 4:3, and they need 500 hot dogs, how many hamburgers will they need? If you double president Reagans age at the time of his first inauguration and subtract his age at the time he died,the result is 45 years. How old was president Reagan when he died? which equation represents a circle with a center at (-3,5) and a radius of 6 units Measuring the amount of deuterium in the universe allows us to set a limit on _________.the density of ordinary (baryonic) matter the universe IHolly took a prospective client to dinner, and after agreeing to a business deal, they went to the theater. Holly paid $440 for the meal and separately paid $190 for the theater tickets, amounts that were reasonable under the circumstances. What amount of these expenditures can Holly deduct as a business expense? Natalie and Will are discussing socialization. Natalie says that socialization occurs when an animal becomes accustomed to the people in the household. Will says that socialization is easily attained if the animal is first exposed to humans after 12 weeks of age. Who is correct? The following histogram summarizes the number of points Nate has scored each game this season. The following data have been recorded for recently completed Job 323 on its job cost sheet. Direct materials cost was $2,057. A total of 37 direct labor-hours and 194 machine-hours were worked on the job. The direct labor wage rate is $24 per labor-hour. The Corporation applies manufacturing overhead on the basis of machine-hours. The predetermined overhead rate is $33 per machine-hour. The total cost for the job on its job cost sheet would be: George is buying his first house. He has spent a month looking at houses and comparing attributes such as price and location. He has contacted several real estate agents to look at different types of houses. George is most likely exhibiting ________. (1 point)2. You have made 3 out of 10 of your last free throws. How many free throws can you expect tomake if you shoot 100 free throws?30506075 1. The function of lenses is based on the law of refraction. A light beam is traveling from the medium 1 where its speed is V1, to the medium 2 where its speed is V2 = 0.8 V1. a) If the first medium is the air (n1 = 1), what is the index of refraction for the second medium? Consider how the methods of undetermined coefficients and variation of parameters can be combined to solve the given differential equation. Carry out your ideas to solve the differential equation. y'' 2y' + y = 4x2 6 + x1ex