Which is the most accurate estimate of 27% of 39 ?

A: 13×40
B: 12×40
C: 14×40
D: 23×40

Answers

Answer 1

Answer:

Option D.

Step-by-step explanation:

we know that

The number 39 represent the 100%

so

using proportion

[tex]\frac{39}{100}=\frac{x}{27}[/tex]

solve for x

[tex]100x=39(27)\\x=10.53[/tex]


Related Questions

Calculate the reciprocal of -0.07,correct to one decimal place

Answers

The reciprocal of the given decimal number -0.07 is decimal number -14.3.

The given decimal number is -0.07.

The reciprocal of any quantity is, one divided by that quantity. For any number ‘a’, the reciprocal will be [tex]\frac{1}{a}[/tex]. If the given number is multiplied by its reciprocal, we get the value 1.

The given decimal written in fraction as [tex]-\frac{7}{100}[/tex].

Reciprocal of [tex]-\frac{7}{100}[/tex] is [tex]-\frac{100}{7}[/tex]

[tex]-\frac{100}{7}=-14.285[/tex]

[tex]\approx-14.3[/tex]

Therefore, the reciprocal of the given decimal number -0.07 is decimal number -14.3.

Learn more about the reciprocal property here:

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Final answer:

The reciprocal of -0.07, when rounded to one decimal place, is -14.3.

Explanation:

To calculate the reciprocal of any number, you simply divide 1 by that number.

The reciprocal of a number is the multiplicative inverse of that number.

In this case, for the number -0.07:

The reciprocal of -0.07 is calculated as follows:

Divide 1 by -0.07:

1/-0.07

= -100/7

= - 14.2857 which equals approximately -14.2857.

To round the result to one decimal place, we consider the first decimal digit after the point, which is 2. Since 2 is less than 5, we don't round up the preceding digit.

Round this number to one decimal place, giving us -14.3.

Therefore, the reciprocal of -0.07, correct to one decimal place, is -14.3.

Please help this is my math homework

Answers

Answer:

Friend PLEASE UPLOAD THE PICTURE PROPERLY IT IS NOT READABLE

What is the solution for the equation
5/3b^3-2b^2-5=2/b^3-2?

b= -4 and b=0
b= -4
b= 0 and b=4
b= 4

Answers

Answer:

b=0.46005 approx

Step-by-step explanation:

ugh its to messy just solve it like a quadratic

Geometry end of year review escape room: room H

Answers

Answer:

1) D

2) A

3) C

4) B

5) B

6) C

Step-by-step explanation:

1) V = Bh

V = πr² (h)

V = π (7²)(5)

V = 49π (5)

V = 245π

V ≈ 769.3

2) V = 1/3 Bh

V = 1/3 (12*12)(9)

V = 1/3 (144)(9)

V = 1/3 (1296)

V = 432

3) V = 4/3πr³

V = 4/3 π (4.5³)

V = 4/3 π (91.125)

V = 121.5π

V ≈ 381.51

4) 3 pairs of rectangles

2(16)(5) = 2(80) = 160

2(16)(11) = 2(176) = 352

2(11)(5) = 2(55) = 110

Add together 160 + 352 + 110

622

5) Two triangles 3 rectangles

Triangle

2(1/2)(18)(5) = 18*5 = 90

Rectangles

18*7 = 126

5*7 = 35

18.7*7 = 130.9

Add together 90 + 126 + 35 + 130.9 = 381.9

C) SA = πr² + πrl --> l is the slant height

SA = π (8²) + π (8)(17)

SA = 64π + 136π

SA = 200π

SA ≈ 628

DACBBC

Starting with 60, divide by 5 --> 12

add by 13 --> 25

multiply by 3 --> 75

subtract by 11 --> 64

cube root 64 --> 4

Multiply 60 --> 240

CODE: 240

The amount of three-dimensional space enclosed by a closed surface is known as volume. The code is 240.

What is volume?

The amount of three-dimensional space enclosed by a closed surface is expressed as a scalar quantity called volume.

1. The volume of a cylinder with a radius of 7 ft and a height of 5 ft is,

[tex]\rm \text{Volume of Cylinder} = \pi r^2 h = \pi \times 49 \times 5=769.7\ ft^3[/tex]

2. The Volume of the Pyramid with a side 12m, while the height is 9m is,

[tex]\rm \text{Volume of Pyramid} = \dfrac13 \times (\text{Area of square}) \times height = \dfrac13 \times 12^2 \times 9 = 432\ m^3[/tex]

3. The volume of the sphere with a diameter of 9 yds, can be written as,

[tex]\rm \text{Volume of sphere}=\dfrac{4}{3} \pi r^3=\dfrac43 \times \pi \times (\dfrac{9}{2})^3=381.7\ yd^3[/tex]

4. The surface area of the cuboid with a length of 16 cm, width of 5 cm, and height of 11 cm can be written as,

[tex]\rm \text{Surface area of Cuboid} = 2[(L\times W)+(W\times H)+(L\times H)][/tex]

[tex]\rm \text{Surface area of Cuboid} = 2[(16\times 5)+(5\times 11)+(16\times 11)] = 622\ cm^2[/tex]

5. The surface area of the given figure can be written as,

Surface Area of figure = 2(Area of the triangle) + Area of slant side + Area of rectangle +  Area of base

[tex]\rm \text{Surface Area of figure} = (\dfrac{2 \times 5 \times 18}{2}) + (18.7 \times 7)+(18 \times 7) + (5 \times 7) = 381.9\ in^2[/tex]

6. The surface area of a cone is given as,

[tex]\text{Surface Area of Cone}=\pi r(\sqrt{h^2+r^2})+\pi r^2[/tex]

The radius of the cylinder is 8 mm while the height is 15 mm, therefore, the surface area can be written as,

[tex]\rm\text{Surface Area of Cone}=\pi \times 8(\sqrt{15^2+8^2})+\pi \times 8^2 = 628.3\ mm^2[/tex]

Now, if we fill the results accordingly in fill in the blanks we will get,

Starting with 60, divide by 5

then add by 13

then multiply by 3

and subtract by 11

Now, cube root your result 64

Multiply the starting number60.

Thus, the code is 240.

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I NEED HELP IMMEDIATELY!!! Allen has four times as many cards as Bob, and Jane has twice as many cards as Allen. Together, Allen and Jane have 468 cards. How many cards do Allen, Jane, and Bob each have?

Answers

Answer:

Allen- 144 cards

Jane- 288 cards

Bob- 36 cards

Step-by-step explanation:

Here's what we know:

a = 4b (Allen has 4 times Bob's cards)

j = 2a (Jane has twice Allen's)

a + j = 432 (Allen and Jane have 432 cards all together)

Start with substituting:

4b + 2a = 432

4b + 2(4b) = 432

Distribute:

4b + 8b = 432

Simplify:

12b = 432

Divide both sides by 12:

b = 36

To find how much Allen has just multiply 36 times 4.

a= 144 cards

To find how much Jane has multiply 144 times 2.

j= 288 cards

Answer:

156

312 and

39

Step-by-step explanation:

Let Allen be A , Jane be J and Bob be B

Allen has 4 times as Bob

So

A = 4B

Jane has twice as Allen

So

J = 2A

Together, Allen and Jane has 468 cards

A + J = 468

Substitute 2A for J in the third equation.

We have

A + J = 468

A + 2A = 468

3A = 468

Divide both sides by 3

3A/3 = 468/3

A = 156

Recall

A = 4B

Therefore

156 = 4B

Divide both sides by 4

156/4 = 4B/4

39 = B

B = 39

Also,

J = 2A

J =2 x 156

J = 312

Allen has 156 cards

Jane has 312 cards and

Bob has 39 cards

Aimee has four 100-point projects for her class. Her scores
on the first three projects are shown below. What score
does she need on Project 4 so that her average score for
the four projects is 80?

Answers

She needs a 94.

72+ 75 + 79 + 94 = 320

320 ÷ 4 = 80

Answer:

94%

Step-by-step explanation:

Elsa saving money to buy a game so far she had saved $36 which is 3/4 of the total cost of the game how much does the game cost

Answers

Answer:

48

Step-by-step explanation:

36 = 3/4x

Divide by three then multiply by four to get x instead of 3/4x

36/3 = 12 x 4 = 48

Answer:

$48

Step-by-step explanation:

She has saved 36 which is 3/4

3/4=36/x

36/3=12

12*4=48

A business has $15,000 to spend on airline tickets to travel to a conference. It wants 27 of its employees to attend. The business wants to buy as many business-class seats as possible. The business-class seats cost $700. The economy-class seats cost $375. Create a system of equations that models how many of each type of ticket the business should purchase.

700x + 375y = 27
x + y = 15,000
x + 375y = 15,000
700x + y = 27
700x + y = 15,000
x + 375y = 27
700x + 375y = 15,000
x + y = 27

Answers

Answer:

Here is the correct system of equations:

700x + 375y = 15,000

x + y = 27

The system of equations that models how many of each type of ticket the business should purchase is 700x + 375y = 15,000; x + y = 27. option D

How to write system of equation?

Let

x = the number of business class.

y = the number of economy

x + y = 27 (1)

700x + 375y = 15000 (2)

Multiply (1) by 700

700(x + y) = 700(27)

700x + 700y = 18900 (3)

Subtract (2) from (3)

700x + 375y = 15000 (2)

700x + 700y = 18900 (3)

-325y = -3900

Divide both sides by -325

y = -3900/-325

y = 12

Recall

x + y = 27

x + 12 = 27

x = 27 - 12

x = 15

Therefore, the business should purchase 15 business class and 12 economy class.

Complete question:

A business has $15,000 to spend on airline tickets to travel to a conference. It wants 27 of its employees to attend. The business wants to buy as many business-class seats as possible. The business-class seats cost $700. The economy-class seats cost $375. How many of each type of ticket should the business purchase?. A) 11 business class and 16 economy class. B) 12 business class and 15 economy class. C) 15 business class and 12 economy class. D) 16 business class and 11 economy class

what is the first 4 digits of pi​

Answers

3.141592653
Also written as 22/7 as a fraction

Hey!!!

Here's your answer:

Actually the value of pi is 22/7 and when we divide 22 by 7 ,it equals to 3.142857143.

So,the first 4 digits of pie is 3.142

There is one miracle about pi.

And that is

first digit of pie(3)

= The third month is march.

Albert Einstein was born in march14 and Stephen Hawking was dead in march 14.

Sorry,if u did not understand what I mean to say...

I am not good at giving explanations.....:(

Which of the following is equal to the expression 6(11 + 3)?
(A) 6x14
(B) 33+3
( 66+3
D
6(11x3)

Answers

Answer: A. 6x14

Step-by-step explanation:

6(11+3)

6x11 = 66

6x3= 18

66+18= 84

6x14= 84

Use distributive property: a(b + c) = ab + ac

Steps to solve:

6(11 + 3)

~Use distributive property

(6 * 11) + (6 * 3)

~Simplify

66 + 18

~Add

84

Lets check each option to see which one equals 84.

Option A:

6 * 14

84

We don't need to check anymore options since Option A is correct.

Best of Luck!

The flying squirrel of eastern Texas can drop a height of 60 feet. A function that approximates this drop is h=-16t^2+60, where h is the height in feet and t is the time in seconds. About how many seconds does it take for the squirrel to drop 60 feet?

Answers

Answer:

About 1.94 seconds

Step-by-step explanation:

The quadratic equation gives the height of the squirrel from its starting position, which is 60 feet above ground.

The equation is:

[tex]h=-16t^2+60[/tex]

To find time it takes to "drop" 60 feet, means the ground level, where height is equal to 0.

Or, h = 0

We substitute h = 0 into the equation and solve for t:

[tex]h=-16t^2+60\\0=-16t^2+60\\16t^2=60\\t^2=3.75\\t=\sqrt{3.75}\\t=1.94[/tex]

So, it takes the squirrel about 1.94 seconds to drop 60 feet

It takes the squirrel about [tex]\( \boxd{1.94} \)[/tex] seconds to drop 60 feet.

Step 1

Given the equation [tex]\( h = -16t^2 + 60 \)[/tex] where  h is the height in feet and t is the time in seconds.

To find the time it takes for the squirrel to drop 60 feet (reaching the ground), we set [tex]\( h = 0 \)[/tex] and solve for t :

[tex]\[ -16t^2 + 60 = 0 \][/tex]

Add [tex]\( 16t^2 \)[/tex] to both sides:

[tex]\[ 16t^2 = 60 \][/tex]

Step 2

Divide both sides by 16:

[tex]\[ t^2 = \frac{60}{16} \]\[ t^2 = 3.75 \][/tex]

Take the square root of both sides:

[tex]\[ t = \sqrt{3.75} \]\[ t \approx 1.94 \][/tex]

So, it takes the squirrel about [tex]\( \boxd{1.94} \)[/tex] seconds to drop 60 feet.

HELP ASAP PLEASEEEE
im kinda begging

Answers

Answer:

x = -1

-1 + 6 = 5

Since its a negative, you're actually subtracting it from 6.

Boxes of Candy (x)
Pieces of Candy )
10 150
9 135
2 30
6 90
3 45
Find the constant of proportionality for the table and write in the form Y=kx

A) y= 1/15x
B) y=10x
C) y = 15x
D) y = 150x

Answers

The answer to the question is c

Simplify the following expression(1/5)(-5/7)(2/4)

Answers

Answer:

-1/14

Step-by-step explanation:

To simplify the expression, you should first divide up the parts to make it easier.  Multiply 1/5 by  -5/7 first.  When you multiply the two fractions, the fives cancel out since there is a five in both the numerator and the denominator.  This leaves us with just -1/7.

[tex]\frac{1}{5} *\frac{-5}{7} =\frac{-1}{7}[/tex]

Now, multiply -1/7 by 2/4.  Notice that you can simplify 2/4 to 1/2.  You can't cancel out anything in this expression so simply multiply the two fractions.

[tex]\frac{-1}{7} *\frac{1}{2} =-\frac{1}{14}[/tex]

I moved the negative sign from the numerator out front, but you don't have to do that.

A triangle has sides of length 7, 10, and s. Write an equation representing the perimeter p of the triangle

Answers

Answer:

7(2+10)

14+10

=26 is the perimeter

S=7

Hope this helped

Step-by-step explanation:

Answer:

P=7+10+s

The perimeter is the length of all sides, so add 7, 10, and s to get p!

Hope this comes to help someone!

Evaluate the expression c=-2.7
c+18 =?

Answers

Answer:

15.3

Step-by-step explanation:

-2.7+18=15.3

Answer:

Step-by-step explanation:

When c=-2.7, we substitute the value of c into the expression so we can add

c+18=-2.7+18=18-2.7=15.3

0.076952 to 3 significant figure

Answers

Answer:0.0770

Step-by-step explanation:

0.076952 the five makes 9 round up.

Since you can't have ten the six increases by 1 so it is

0.077

Then you could add a zero on the end to 0.0770 so it is to 3 sig fig

Answer:

0.0770.

Step-by-step explanation:

That would be  rounded to the  next 3 digits after the second 0.

So it is 0.0770.

(The 7695 is rounded  to 770 because the digit after the 9 is 5, so the 69 is rounded up to 70).


You found a pair of $35 shoes for 25% off! How much of a discount will be taken at the register?

Answers

Answer:

$8.75

Step-by-step explanation:

35 * .25 = $8.75

2. A student had taken six tests and received scores of 88, 73, 81, 83, 79, 94. The seventh test
was coming up and the student wants to know:
a. What was needed on the 7th test to have a mean score of 83. Find the 7th test score.
b. Find the median and mode using the 7th test score from part a.
Median
Mode:

Answers

Answer:

a) 83

b) mean and mode are both 83

Step-by-step explanation:

a) mean is the average. so add all the numbers and divide by the number of numbers.

88 + 73 + 81 + 83 + 79 + 94 + T = 83

7

b) median - put the numbers in numerical order, smallest to largest, what is the middle number (4th number) 73, 79, 81, 83, 83, 88, 94

mode - which number shows up most frequently?

Lin wants to know how many games teenagers in the United States have on their phones.

What is the population for Lin's question?

Answers

Final answer:

The population for Lin's question is all teenagers in the United States who use smartphones. Selection bias and the method of surveying can cause data variations, and the sample size must be large enough and representative to obtain accurate findings.

Explanation:

The population for Lin's question regarding how many games teenagers in the United States have on their phones is all teenagers in the United States who own and use smartphones. It is implied that Lin is interested in the averages or trends among this specific age group with regard to digital game ownership.

When considering data collection, several factors can cause variations in the results. For instance, adolescents' access to different technologies, social and economic factors, and varying interests can all influence the number of games they have on their phones. Additionally, methods of surveying can affect accuracy, such as if the respondents are primarily contacted by landline or mobile phone, reflecting different demographic characteristics. The trend towards mobile phone usage as opposed to landlines, selection bias, and the changing communication preferences of younger generations all emphasize the need for researchers to employ diverse methods in collecting data to ensure representativeness of the surveyed population. Moreover, the sample size and how well it represents the overall population is critical in obtaining reliable results.

The sufficiency of the sample size depends on the population being studied. If the sample consists solely of students from one school, it may not be representative of the wider population of teenagers in the United States. However, when the population is as large and diverse as school-aged children and young adults across the entire United States, a much larger and varied sample would be needed to appropriately reflect the population and offer meaningful conclusions.


The table below displays the purchases that Graphic DesignWorks made from
a manufacturer this year for hats. If Graphic DesignWorks uses LIFO, and it
has 100 hats left in its inventory, what is the value of its current stock?
Month of Number
Purchase of hats
June 50
July
75
August 100
September 75
Price
per hat
$12
$14
$10
$13
O A. $1225
O B. $1300
O c. $1200
O D. $1150

Answers

Answer:

  B.  $1300

Step-by-step explanation:

The 100 hats remaining in inventory are the first 100 hats purchased in the period, so are 50 hats purchased for $12 each in June, and 50 hats purchased for $14 each in July. The value of this inventory is ...

  50($12) +50($14) = $600 +700 = $1300

Answer:

1225

Step-by-step explanation

Given the function, f(x)= square root 3x+3+3, choose the correct transformation(s).

Answers

Answer: horizontal stretch, left 3,up 3

Step-by-step explanation: you guys are welcome! And be blessed

What value of m makes the system of linear equations mx − y + 3 = 0, (2m − 1)x − y + 4 = 0 have no solution?

Answers

Answer:

m ≠1  ( all m in R  except 1 )

Step-by-step explanation:

hello :

mx − y + 3 = 0.....(*)

(2m − 1)x − y + 4 = 0 ....(**)

multiply (*) by : -1       you have :   -mx+y-3=0   ....(***)

                                                    (2m − 1)x − y + 4 = 0 ....(**)

add(***) and(**)  : -mx+ (2m − 1)x+1 =0

(2m-m-1)x+1=0

(m-1)x = -1

this system have no solution  if : m-1≠0   means : m ≠1

The sum of two numbers is 98. One number is 76 less than the other.

Answers

Answer:

Step-by-step explanation:

1. n + y = 98

2. n = 76 - t

Answer:

11 and 87

Step-by-step explanation:

Let's create an equation to solve this. (I know that it is just subtraction, but equations are great ways to understand concepts.)

We can represent each number as "n"

In that case, we have:

n + (n - 76) = 98

Grouping n's:

2n - 76 = 98.

Adding 76 to both sides:

2n = 174

Dividing by 2:

87.

Plug-and-chug:

87 + (87 - 76) = 98

Thus, our final answer is that one number is 11, the other 87.

What is the relationship between a
square root, exponent, and a
logarithm?

Answers

Square root is the opposite way of doing the exponent. Exponent you multiply while you are dividing the square root. Logarithms are the “opposite” of exponentials or in other words the inverse of it

Ten less than 40% of a number is -4. Please just write out equation >~

Answers

Answer:

Number is "n"

(.40 * n) -10 = -4

Step-by-step explanation:

Final answer:

The phrase 'ten less than 40% of a number is -4' can be translated into a mathematical equation as 0.4x - 10 = -4. By using the rules of algebra, we can simplify this equation to find that the unknown number x equals 15.

Explanation:

The question deals with an equation involving the term 'ten less than 40% of a number'. This phrase can be translated into a mathematical equation as follows: 0.4x - 10 = -4, where x is the unknown number we're trying to find.

Following the rules of algebra, you would want to simplify this equation as much as possible. Let's add 10 to both sides of the equation, which gives us 0.4x = 6. To isolate 'x', we divide both sides of the equation by 0.4, which gives us x = 6 / 0.4. When you perform this division, you find that x = 15.

Thus, the number that 'ten less than 40% of' equals -4 is 15.

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Plot the given parabola on the axes. Plot the roots, the vertex and two other points.
y=−x2+2x+48

Answers

Final answer:

To plot the parabola y = -x² + 2x + 48, find the vertex at (1, 49), the roots at -6 and 8, and two additional points at (0, 48) and (2, 48). Then, plot these points on a graph and sketch the parabola.

Explanation:

To plot the given parabola y = -x² + 2x + 48, we must follow several steps:

Find the vertex. The formula for the x-coordinate of the vertex is -b/2a. In this equation, a = -1 and b = 2, so the x-coordinate is -2/-2 = 1. Substituting x = 1 into the equation gives us y = -12 + 2 * 1 + 48 = 49. So, the vertex is (1, 49). Find the roots. The roots are the x-values when y = 0. We solve -x2 + 2x + 48 = 0. Factoring the quadratic can give us the roots, but this equation doesn't factor nicely. We use the quadratic formula instead: x = [-b ± sqrt(b2 - 4ac)] / 2a = [-2 ± sqrt((2)2 - 4*(-1)*48)] / 2*(-1). This gives us two roots, -6 and 8. Choose two other points. Let's choose x = 0 and x = 2. When x = 0, y = 48. When x = 2, y = -22 + 2 * 2 + 48 = 48. So, the two other points are (0, 48) and (2, 48). Plot these points on a coordinate grid and draw the parabola.

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e^x=59 round to the nearest ten-thousandth

Answers

Okay,
First you must ln both sides of the equation.


ln(e^x) = ln(59)

ln of e always cancels out, so you are just left with x

x = ln(59)

Put this in your calculator!

x = 4.0775 is your answer !

Write this equation in slope intercept form 3x+2y=4

Answers

Final answer:

To write the equation 3x + 2y = 4 in slope-intercept form, subtract 3x from both sides, then divide each term by 2. The slope-intercept form of the equation is y = (-3/2)x + 2.

Explanation:

To write the equation 3x + 2y = 4 in slope-intercept form, we need to isolate y on one side of the equation.

Step 1: Subtract 3x from both sides to get 2y = -3x + 4.

Step 2: Divide each term by 2 to get y = (-3/2)x + 2.

Therefore, the equation 3x + 2y = 4 in slope-intercept form is y = (-3/2)x + 2.

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Answer:

Step-by-step explanation:

If U = 3 inches, V = 5 inches, W = 8 inches, X = 6 inches, Y = 8 inches, and Z = 4 inches, what is the area of the object?

Answers

Answer:

46.5 inches

Step-by-step explanation:

if you plug all the numbers in and then change them into simple shapes, like a square, rectangle, and triangle, you can just add the areas to those shapes and add them together.

The area of the object is: 61.5 Sq.in

What is the Area of the Composite figure?

The formula for area of a rectangle is:

Area = Length * Width

Formula for the Area of a  Trapezium is:

Area = ¹/₂ * (sum of parallel sides) * height

Area of composite figure is: (¹/₂ * (W + Y - U) * (V - X - Z)) + [(X - Z) * (Y - U)] + (Y * Z)

Area of composite figure is: (¹/₂ * (8 + 8 - 3) * (5 - (6 - 4)) + [(6 - 4) * (8 - 3)] + (8 * 4)

= 19.5 + 10 + 32

= 61.5 Sq.in

Other Questions
Hyperbole is a figure of speech which is often a great or obvious exaggeration. What is Mrs. Van Daans Hyperbole on page 294 and what does it reveal about the Van Daans? Evaluate 6-7+8-9+..+998-999 BRAINLIESTThe CDCs recommendations for social distancing include which of these?A. Keeping a minimum of 6 inches between you and others outside of your household.B. Keeping a minimum of 6 feet between you and others outside of your household.C. Using only email and text messages to connect with people, not phone calls or video chats.D. Using only phone calls and video chats to connect with people, not emails or text messages. Some people have one sickle cell gene and one normal gene. They have few defective cells and no symptoms because the sickle cell gene is recessive. How does the human system of reproduction result in people getting one copy of a sickle cell gene and one copy of a normal gene? Describe the process. What is the slope of a line that passes through the points(-2, -7) and (-6, -2)? A chemical reaction is most likely to occur when the colliding particles have the proper Which of these is something that all the poems in the reading have in common How is the statue of liberty used today if different from original use? pleaseee help How can the use of new technology in industry benefit workers?O Workers can react to economic change quicklyWorkers can identify economic emergencies.Workers can gain new knowledge and skills.Workers can make economic forecasts. 6. Whose death (besides Antigone's) do you think is foreshadowed in line859: "Then she'll die-- and in her death kill someone else"? * Does anyone know this?! Antonia bought a set of dishes, a towel, and a candle at a housewares store. The set of dishes cost $35.10, the towel cost $21.28, and the candle cost $9.53 before any coupons or discounts. She used a $0.50-off coupon on the candle, a $2.75-off coupon on the towel, and the set of dishes was on sale for 10% off the regular price. Which of the following best describes the amounts that Antonia saved? a. she saved the greatest percentage on the set of dishes b. she saved the greatest percentage on the towel c. she saved the greatest percentage on the candle d. she saved the same percentage on the towel and the set of dishes. Which could be the length of BC?11 ft13 ft15 ft18 ft Which pro-slavery US Senator started a fight on the floor of the US Senate by beating anti-slavery SenatorCharles Sumner (Massachusetts) with his cane? 8. How was US involvement in the Korean War different from its involvement in WWII? Describe the relationship between stereotypes and prejudice. Provide one example of how a stereotype can lead to prejudice. The probability density function of the time to failure of an electronic component in a copier (in hours) is f(x)= e^-x/100 /1000. Determine the probability thata. A component lasts more than 3000 hours before failure.b. A component fails in the interval from 1000 to 2000 hours.c. A component fails before 1000 hoursd. Determine the number of hours at which 10% of all components have failed.e. Determine the cumulative distribution function for the distribution. Use the cumulative distribution function to determine the probability that a component lasts more than 3000 hours before failure. Read the excerpts from chapter 2 of Night.Excerpt 1When they came back, they told us that they had learned, in exchange for a gold watch, that this was the final destination. We were to leave the train here. There was a labor camp on the site. The conditions were good. Families would not be separated. Only the young would work in the factories. The old and the sick would find work in the fields.Confidence soared. Suddenly we felt free of the previous nights terror. We gave thanks to God.Excerpt 2We stared at the flames in the darkness. A wretched stench floated in the air. Abruptly, our doors opened. Strange-looking creatures, dressed in striped jackets and black pants, jumped into the wagon. Holding flashlights and sticks, they began to strike at us left and right, shouting:"Everybody out! Leave everything inside. Hurry up!"We jumped out. I glanced at Mrs. Schchter. Her little boy was still holding her hand.In front of us, those flames. In the air, the smell of burning flesh. It must have been around midnight. We had arrived. In Birkenau.How do the excerpts differ in purpose?The first excerpt tells what is expected of them, and the second tells what happens to them.The first excerpt indicates facts about the camp, and the second indicates lies about the camp.The first excerpt shows their expectations about the camp, and the second shows the reality of their circumstances.The first excerpt explains the conditions when they arrive, and the second explains how the circumstances change over time. Every organism is an ecosystem receives energy from another source.Which of these organism receives its energy directly from the sun? A-Grass C-deer B-fungus D-hawk earth moves in a orbit that is 585 million miles away from the sun.Write 585 million in scientific notation form.