Identify the cross section that results from slicing the three-dimensional figure with a plane that is parallel to its base
A)Pyramid
B)Rectangle
C)Square
D)Triangle

Identify The Cross Section That Results From Slicing The Three-dimensional Figure With A Plane That Is

Answers

Answer 1

Answer:

D) triangle

Step-by-step answer:

Answer 2

A pyramid is a three-dimensional figure with a plane that is parallel to its base.

Pyramid

A three dimensional figure is a figure with a length, width and height. 3D shapes have faces, edges, and vertices.

Rectangle, square and triangle are two dimensional shapes while pyramid is a three dimensional shape.

A pyramid is a three-dimensional figure with a plane that is parallel to its base.

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Related Questions

You always have to tell us to sign and we need the answers so bad why don't you close this website because you don't even give us the answer f u

Answers

I recommend that you keep trying because sometimes the answer will not be visible but the newest ones will be. :)

Round your answer to the nearest percent.

Answers

Answer:

Step-by-step explanation:

Givens

Number not using given app = 71

Total number of students  = 219

% = ?

Solution

P(~given app) = 71 / 219

P(~given app)  = 0.324

% = 0.324 * 100  = 32.4%

Answer

32.4% do not use Given App

write 5 consecutive odd integers preceding -31​

Answers

Based on the given task content; the five consecutive odd integers preceding -31 are: -21, -23, -25, -27, -29

Odd integer

An integer can either be a positive value or negative value.

Odd integers are integers which can not be divided by 2 without a remainder.

Examples of odd integers are; 1, 3, 5, 7, 9 etc.

Preceding means before a particular thing.

Odd integers preceding -31

= -1, -3, -5, -7, -9, -11, -13, -15, -17, -19, -21, -23, -25, -27, -29

Therefore, Five consecutive odd integers preceding -31 are: -21, -23, -25, -27, -29

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If you borrow $800 for 10 years at an annual interest rate of 12%, how much will you pay altogether?​

Answers

Answer:

the principal amount is 10000 is the rate of interest is 10 and the number of years is 10 you can calculate the simple interest a is equal to 10000 1 + 0 is equal to 1.6 is equal to 16000 interest is equal to a - b is equal to 6000 - 1000

Answer:

$1,760

Step-by-step explanation:

So I'm assuming the interest is simple interest rate which means that the interest applied each year is 12% of the original amount.

So this means that we can find the interest rate from one year by finding 12% of 800, and to do this we convert 12% to a decimal by dividing by 100 to get 0.12 and then use this decimal value to multiply by 800 to get: 0.12 * 800 = 96.

This means annually $96 will be charged in interest. To find how much interest there is after 100 years, simply multiply by 10, to get $96 * 10 = $960.

This is only the interest rate, it's like a fee, you still have to pay back the original amount, so all together you pay: $ borrowed + interest

So we add the interest rate 960 to the amount borrowed 800 to get: 960 + 800 = 1,760

Find the mean and standard deviation for the set of data. {22,21,20,4,19,6,24,11,26} A. mean: 17; standard deviation: 8.1 B. mean: 17; standard deviation: 7.53 C. mean: 20; standard deviation: 8.1 D. mean: 20; standard deviation: 7.53

Answers

Using it's concepts, the mean and the standard deviation of the data-set are given as follows:

B. mean: 17; standard deviation: 7.53.

What are the mean and the standard deviation of a data-set?

The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.

The mean for this problem is:

M = (22 + 21 + 20 + 4 + 19 + 6 + 24 + 11 + 26)/9 = 17

The standard deviation is:

[tex]S = \sqrt{\frac{(22-17)^2+(21-17)^2+(20-17)^2+(4-17)^2+(19-17)^2+(6-17)^2+(24-17)^2+(11-17)^2+(26-17)^2}{9}} = 7.53[/tex]

Hence option B is correct.

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how many 2/7 are in 150

Answers

How many 2/7 are in 150 ?

= Their are 525.

I HOPE IT HELP YOU

There are 525 number of fraction 2/7 in number 150.

What is fraction?

Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator, below one is called denominator.

Given,

fraction = 2/7

Given number = 150

Number of 2/7 in 150

= 150 ÷ 2/7

= 150 × 7/2

= 1050/2

= 525

Hence, 525 is the number of fraction 2/7 in number 150.

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The last time troy checked, his dog weighed 60 kilograms. troy just measured his dog again and found out that it weighs 5% less now. how much does the dog weigh now?

Answers

Answer:

57 kg

Step-by-step explanation:

5% less means it weighs 95% of what it used to weigh

95% is .95 in decimal

.95 * 60 = 57 kg

Kira is trying to drink more water and juice each day. The difference in the amount of water in a jug and the amount of juice in the bottle she is drinking from is 192 ounces. She has consumed a total of 42 ounces, which is StartFraction 3 Over 32 EndFraction of the bottle of juice and StartFraction 9 Over 64 EndFraction of the jug of water. Which system of equations can be used to determine the total number of ounces in the jug of water, x, and the total number of ounces in the bottle of juice, y?

Answers

The required system of equations that can be used to determine the total number of ounces in the jug of water (x), and the total number of ounces in the bottles of juice (y) is

[tex]x - y = 192[/tex]

[tex]\frac{9}{64}x+\frac{3}{32}y=42[/tex]

How to write an equation?

To write an equation,

Observe the variable term in the given informationConsider more or less as addition or subtraction of the termsEquate the terms with the given valuesThus, the expression formed is called an equation.

Calculation:

It is given that,

The difference between the jug of water and the bottle of juice that Kira is drinking is 192 ounces

Kira has consumed a total of 42 ounces, which is 3/32 of the bottle of juice and 9/64 of the jug of water.

Consider,

The total number of ounces in the jug of water = x

The total number of ounces in the bottle of juice = y

Applying these variables in the above sentences,

[tex]x-y=192[/tex]

[tex]\frac{9}{64}x+\frac{3}{32}y=42[/tex]

Therefore, these two equations are used to determine the total number of ounces in the jug of water and the bottle of juice.

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Which of the following shows 2x^3Y - 3x^2 + 7y^2x - 12y written in standard form? Answers in photo thank you

Answers

Answer:

[tex] \large{ \boxed{\tt{2 {x}^{3}y + 7 {y}^{2} x - 3 {x}^{2} - 12y}}}[/tex]

- All you gotta do is writing the polynomial in the descending order of the power of the variable.

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nevan typed 110 words in 2 2/4 minutes. at this rate.how many words can he
type in 4 1/4​

Answers

Answer:

ther will be 240 words in 4 1/4

Answer:

187 words.

Step-by-step explanation:

His rate of typing = 110 / 2 2/4

= 110 / 2.5

= 44 words / minute.

So in 4 1/4 minutes he will type

44 * 4 1/4

= 176 + 11

= 187 words.

Help help pls, ASAP!!! (Geometry)
“Complete the proof”

Answers

1) [tex]\overline{WX} \cong \overline{UY}[/tex], [tex]\angle YXZ \cong \angle XYZ[/tex] (given)

2) [tex]\overline{XY} \perp \overline{XY}[/tex] (reflexive property)

3) [tex]\triangle WXY \cong \triangle UYX[/tex] (SAS)

4) [tex]\overline{WY} \perp\overline{ UX}[/tex] (CPCTC)

Shannon wants to make snack bags that contain an equal amount of three different types of nuts. If she has 26
almonds, 78 pecans, and 52 peanuts, what will be the most number of bags she can have?

Answers

Answer is 26 bags
Step by step
First find the least common multiple (LCM) of the 3 nuts. First I checked to see if 26 was a multiple of 78 and 52, yes it is! 26 is the LCM.
26/26 = 1 almond per bag
52/26 = 2 peanuts per bag
78/26 = 3 pecans per bag.
So all 26 bags will contain 1 almond, 2 peanuts and 3 pecans.
Problem solved. Not a very big snack bag in my opinion.

If point a (-8, 9) was rotated clockwise 180o about the origin, what would its new coordinates be?

Answers

Answer:

(8, -9)

Step-by-step explanation:

Hope this helps:)

The point (-8,9) is rotated 180° in clockwise direction about the origin, the new coordinates is (8,-9).

According to the question,

The point (-8,9) is rotated 180° in clockwise direction about the origin, the new coordinates is (8,-9).

Hence, the new coordinates is (8,-9).

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what is 7+6-8x5=????

Answers

Answer:

Step-by-step explanation:

7+6-8x5=

7+6-40=

13-40=

-37

if the x is multiplying

Help with these two problems and show work please having trouble solving them !

Answers

Answer:

see explanation

Step-by-step explanation:

to find the zeros let f(x) = 0

1

f(x) = 0 , that is

x(x + 10) = 0

equate each factor to zero and solve for x

x = 0

x + 10 = 0 ⇒ x = - 10

2

f(x) = 0 , that is

x(x - 3) - 4(x - 3) = 0 ← factor out (x - 3) from each term on the left side

(x - 3)(x - 4) = 0

equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x - 4 = 0 ⇒ x = 4

Answer:

1) x₁ = 0, x₂ = -10

2) x₁ = 3, x₂ = 4

Step-by-step explanation:

Given functions:

[tex]1)\ f(x)=x(x+10)[/tex]

[tex]2)\ f(x)=x(x-3)-4(x-3)[/tex]

.................................................................................................................................................

Zero Product Property: If m • n = 0, then m = 0 or n = 0.

Distributive Property: a(b + c) = ab + ac.

Standard Form of a Quadratic: ax² + bx + c = 0.

.................................................................................................................................................

The Zero Product Property

1) f(x) = x(x + 10)

Step 1: Set the function to zero.

[tex]\implies 0=x(x+10)[/tex]

Step 2: Apply the Zero Product Property.

[tex]\boxed{x_1=0}[/tex]

[tex]x+10=0\implies \boxed{x_2=-10}[/tex]

The solutions to this quadratic are: [tex]x_1=0,\ x_2=-10[/tex].

.................................................................................................................................................

The Zero Product Property

2. f(x) = x(x - 3) - 4(x - 3)

Step 1: Set the function to zero.

[tex]\implies 0 = x(x - 3) - 4(x - 3)[/tex]

Step 2: Factor out [tex]x- 3[/tex].

[tex]\implies 0 = (x - 3)(x - 4)[/tex]

Step 3: Apply the Zero Product Property.

[tex]x-3=0\implies \boxed{x_1=3}[/tex]

[tex]x-4=0 \implies \boxed{x_2=4}[/tex]

The solutions to this quadratic are: [tex]x_1=3,\ x_2=4[/tex].

.................................................................................................................................................

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In which diagram do angles 1 and 2 form a linear pair?

2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1.
3 lines extend from a point and form 2 angles, labeled 1 and 2. Both angles add up to 90 degrees.
A horizontal line has 2 lines extending from a midpoint forming 3 angles. Labeled from left to right: 1, 2, 3.
A horizontal line has 1 line extending from it. Angles 1 and 2 are formed.
Mark this and return

Answers

The diagram where angles 1 and 2 form a linear pair is D. A horizontal line has 1 line extending from it. Angles 1 and 2 are formed.

What is a linear pair?

It should be noted that a linear pair simply means angles that are formed when two lines intersect each other at a single point.

In this case, when a horizontal line has 1 line extending from it. Angles 1 and 2 are formed. This depicts a linear pair

In conclusion, the correct option is D.

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I was born on saturday. got marries the 10,000 day of my life. what day of the week is it?

Answers

Answer:

  Tuesday

Step-by-step explanation:

Days of the week repeat every seven days, so Saturday is day (1+7n) for some integer n.

Number of weeks

The value of n that makes the day number just under 10,000 is ...

  1 +7n ≤ 10000

  7n ≤ 9999

  n ≤ 1428 3/7

Day of the week

So, Day 1 +1428·7 = 9997 is Saturday. Day 10,000 is 3 days later. That makes Day 10,000 a Tuesday.

__

Additional comment

1428 weeks is about 27.5 years. You got married at age 27.

Divide the following polynomials. Then place the answer in the proper location on the grid. Write the quotient and remainder as a sum in this format: quotient, remainder/ divisor. Do not include parentheses in your answer. 8y square- 4y+1 over 2y-1

Answers

For the division of the given polynomials, quotient =  4y and remainder =1

What is a polynomial?

Algebraic expressions called polynomials include constants and indeterminates.

A specific kind of expression is a polynomial. A mathematical statement without the equals symbol (=) is called an expression.

An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Constants and variables are components of a polynomial.

A polynomial is written in its standard form when its descending power of the variable is used.

[tex]\frac{8y^{2}-4y+1 }{2y-1}[/tex]

Quotient = 4y

Remainder = 1

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what are the solutions to 5x^2 - x - 1 < 0

Answers

5x^2 - x - 1 > 0
Using the equation to find x,
x= 1/10 +- 1/10sqrt21

Answer is
1/10 - 1/10sqrt21 < x < 1/10 + 1/10sqrt21

Model the situation with the sum of polynomials. Simplify their sun.

A rectangular picture frame has the dimensions shown in the figure. Write a polynomial that represents the perimeter of the frame.

Answers

Answer:

16x-2

Step-by-step explanation:

Perimeter is 2w+2l

so we plug it in

2(3x+1) + 2(5x-2)

now we distribute

6x+2 + 10x -4

now we add like terms

6x+10x+2-4

16x-2

Using the table below, find the mean and median of the set of data.
Note: Round all numbers to the nearest tenth.

Answers

Using their concepts concept, we have that:

a) The mean of the data-set is of 81.6.

b) The median of the data-set is of 80.

What is the mean?

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

In this problem, there are 2 + 8 + 6 + 3 + 9 = 28 observations, hence the mean is:

M = (70 x 2 + 75 x 8 + 80 x 6 + 85 x 3 + 90 x 9)/28 = 81.6.

What is the median?

The median of a data-set is the 50th percentile, the value that separates the median in two halfs.

This data-set has an even number of elements, hence the median is the mean of the 14th and 15th elements, as 28/2 = 14. Both elements are 80, hence the median is of 80.

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What is the y-intercept of the function f(x)=-2/9x + 1/3?

Answers

Answer:

y-intercept = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

the coefficient is the slope  (slope = -2/9x)

the constant is the y-intercept   (y-intercept=1/3)

this is true for all functions like this

Answer:

The y-intercept is

c) 1/3

Step-by-step explanation:

One of the legs of a right triangle measures 10 cm and the other leg measures 7 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

Answer:

12.2 cm

Step-by-step explanation:

we are going to use the formula (below).

Our a and b are going to be our two legs: 10cm and 7cm

[tex]C^{2} =10^{2} +7^{2} \\C^{2}=100+49\\C^{2}=149\\C=\sqrt{149} \\C=12.2cm[/tex]

Some bacteria double in every hour. if there were 2 bacteria in the beginning, how many bacteria will be there after 6 hours? how many bacteria will be there after 24 hours?

Answers

Using an exponential function, it is found that:

After 6 hours, there will be 256 bacteria.After 24 hours, there will be 33,554,432 bacteria.

What is an exponential function?

An exponential function is modeled by:

[tex]y = ab^x[/tex].

In which:

a is the initial value.b is the growth rate.

The parameters for this problem are given as follows:

a = 2, b = 2.

Hence the number of bacteria after x hours is given by:

[tex]y = 2(2)^x[/tex]

After 6 hours, the amount is:

[tex]y = 2(2)^6 = 2^7 = 128[/tex]

After 24 hours, the amount is:

[tex]y = 2(2)^{24} = 2^{25} = 33554432[/tex]

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The shape of f(x) = √ x, but shifted nine units to the left and then reflected in both the x-axis and the y-axis

Answers

Answer:

  g(x) = -√(-x +9)

Step-by-step explanation:

The relevant transformations are ...

f(x -h) . . . . . shifts the graph of f(x) right h unitsf(x) +k . . . . . shifts the graph of f(x) up k units-f(x) . . . . . . . reflects the graph of f(x) over the x-axisf(-x) . . . . . . . reflects the graph of f(x) over the y-axis

Application

Applying the transformations in the specified order, we have ...

  f(x) = √x

  f(x +9) = √(x +9) . . . . . . . shifted 9 units to the left

  -f(x +9) = -√(x +9) . . . . . . shifted 9 left, reflected in the x-axis

  -f(-x +9) = -√(-x +9) . . . . shifted 9 left, reflected in x-axis, reflected in y-axis

The shifted, reflected function is ...

  g(x) =  -√(-x +9)

__

Additional comment

The graph shows the original f(x) = √x function in red. The shifted, reflected function is shown in blue. Note that the initial left shift changes appearance to a right shift when it is reflected over the y-axis.

(HELP!) now consider 0=-120. Draw the angle 0=-120 on the circle below. Make sure you rotate clockwise for the negative angle. It needs to be approximate, but not precise.

Answers

The reference angle after rotating the unit circle anti-clockwise is;  π/3 Radians

How to draw a Unit Circle?

To draw the angle θ = -120° in the unit circle, we will move clockwise 90°, and thereafter another angle of 30°.

This tells us that we pass the fourth quadrant and stop in the third quadrant.

The reference angle of an angle theta in the third quadrant, is; θ + 180°.

Thus, the reference angle of -120° is; -120° + 180° = 60°.

Converting 60° to radians gives; (60/360) * 2π Radians = π/3 Radians

Thus, the Reference angle is π/3 Radians

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If the function 5x+y=1 has the domain (-2,1,6) then what is the corresponding range?

Answers

The corresponding range of the domain is (11, -4, -29)

How to determine the range?

The function is given as:

5x + y = 1

Make y the subject

y = 1 - 5x

The domain is given as:

(-2,1,6)

Substitute these values in y = 1 - 5x

y = 1 - 5(-2) = 11

y = 1 - 5(1) = -4

y = 1 - 5(6) = -29

Hence, the corresponding range of the domain is (11, -4, -29)

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4. You read an article in your local newspaper about a discussion between the owner of a popular business and a group
of community members. The business owner keeps a flag raised on an outdoor flagpole during nighttime hours, but
the community members are calling for the flag to be properly illuminated at night. The business owner says that the
flag cannot be illuminated because the only power source available for the spotlights is solar power, but there is too
much shade on the ground for solar-powered spotlights to charge sufficiently during the day.
You realize that you can offer a solution to the problem by suggesting that the solar-powered spotlights be mounted
on the roof of the building where it can be charged by sufficient sunlight. You decide to contact the business owner to
suggest angling the spotlight down to the raised flag from the roof instead of angling it up to the raised flag from the
ground. The business owner informs you that the flagpole is located 55 feet from the building. If the building is 45 feet
high and the flagpole is 25 feet high, at what angle should you tell the business owner to angle a spotlight mounted on
the roof? Please show all your work.

Answers

The business owner should be told to angle a spotlight mounted on the roof at the angle of =39°

Calculation of angle

The distance of the flagpole from the building = 55ft

The building has the height of = 45ft

The flagpole has the height of = 25ft

The angle can be calculated using the formula;

Tan θ = opposite/adjacent

Where opposite= 45ft

adjacent = 55ft

Tan θ = 45/55 = 0.82

θ = Tan–¹0.82

θ = 39°

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What is another name for XW?
Name a ray with an endpoint X.
Give another name for WX.
What’s another name for AXW?
Double points

Answers

Another name for AXW is <X

What is another name for XW?

The arrow on XW implies that the segment XW is a ray, such that any of the points X or W can be the starting point

Hence, another name for XW is WX

Name a ray with an endpoint X.

A ray with an endpoint X is a ray that ends at point X

An example of such ray is XY

Give another name for WX.

The arrow on WX implies that the segment WX is a ray, such that any of the points X or W can be the starting point

Hence, another name for WX is XW

What’s another name for AXW?

The name AXW represents an angle

An angle can be named after its middle point

Hence, another name for AXW is <X

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The gas co2 is diffusin at steady state through a tube 20 cm long having a diameter of 1 cm and containing n2 at 350 k . the total pressur is constant at 101.3kpa . the partial pressure of co2 at one end is 456 mmhg and 76 mmhg at the end . the diffusivity is 0.167 cm2 /s at 298 k . calculate the mass rate of co2 if the partial pressure remains constant.

Answers

The value is J = 1.71*10^-6 kmol/m^2.s

According to the given conditions we get,

The length the tube l= 0.20m

The diameter of the tube d= 0.01m

The total pressure inside the tube P= 101.32kPa

The partial pressure of CO2 at the first end is

P1= 456mm Hg = 60794.832 Pa

The partial pressure of CO2 at the other end is

P2= 76mm Hg = 10132.472 Pa

The temperature is T = 298 K

The diffusion coefficient D= 1.67* 10^-5 m^2/s

Generally the molar flux of CO2 is mathematically represented as

J= D{p1-p2} / R.T

Here R is the gas constant with value R= 8.314 j/kmol

So we get J= 1.71 * 10^-3 mol/m^2.sec

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Identify the correct way to write this sentence: Uncle Frank bought several new metal poststo fix the fence in the backyard.a. Uncle Frank bought several new metal posts to fix the fence in the backyard.b. Uncle Frank bought several, new metal posts to fix the fence in the backyard.c. Uncle Frank bought several, new, metal posts to fix the fence in the backyard. la) The speed of the bus is sodi per hour. How muchett distance does it covering aus minutes. b) 3 hours. e) hairs 30 minutes. In paragraph 2, what inferences can be made about how the justices arrived at their decision? the lips are formed primarily by the ______ muscle. Rewrite one tenth times x cubed times y plus two tenths times x times y squared using a common factor. one tenth times x times y times the quantity x squared plus 2 times y end quantity one tenth times x cubed times y squared times the quantity y plus 2 times x end quantity one fifth times x times y times the quantity 2 times x squared plus 2 times y end quantity one fifth times x times y times the quantity x squared plus 2 times y end quantity Which line from the prologue states that Romeo and Juliet are fated to die? A. "Where civil blood makes civil hands unclean." B. "What here shall miss, our toil shall strive to mend."O C. "Two households, both alike in dignity"O D. "A pair of star-crossed lovers take their life;" 2 Al + 3CuCl --> 2 AlCl3 + 3 CuHow many grams of Cu is produced when you start with 5.5 g of Al?Remember to round all molar masses to whole numbers. (round to the tenths place) Triangle ABC is similar to Triangle ADE. Find x, the distance from Point B to Point C. Ethan is 1. 85 meters tall. At 10 a. M. , he measures the length of a tree's shadow to be 28. 45 meters. He stands 24. 3 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter. In the experiment shown schematically below, a beam of neutral atoms is passed through a magnetic field. Atoms that have unpaired electrons are deflected in different directions in the magnetic field depending on the value of the electron spin quantum number. In the experiment illustrated, we envision that a beam of hydrogen atoms splits into two beams. (a) What is the significance of the observation that the single beam splits into two beams? (b) What do you think would happen if the strength of the magnet were increased? (c) What do you think would happen if the beam of hydrogen atoms were replaced with a beam of helium atoms? Why? (d) The relevant experiment was first performed by Otto Stern and Walter Gerlach in $1921 .$ They used a beam of Ag atoms in the experiment. By considering the electron configuration of a silver atom, explain why the single beam splits into two beams. Moya i moving to a new houe and packing up. She ha 70 kilogram of book and 127 kg kilogram of clothing to end through the potal ervice. How much more do her clothe weigh than her book? How much i her hipping cot of h ha to pay $80 per kg of book and $200 per kg of clothing? Summarize the article of Sargon in at least 8 sentences. draw a line through the point (2,2) with a slope of 1. Draw a line through the point (1,-1) with a slope of 1. WHAT IS THE OTHER LINE? please help asap!!!! Which of the following is not one of the steps of the PCR cycle?a. The sample is heated to 72 degrees Celsius and DNA polymerase synthesizes new copies of DNA.b. The sample is heated to about 95 degrees Celsius to separate the strands, so they can be replicated.c. The sample is cooled to about 10 degrees Celsius to deactivate the DNA polymerase until the next step is ready.d. The sample is cooled to about 50 degrees Celsius and the primers can bind to the single DNA strands. What are the most common processes and procedures handled by data warehousing specialists? Substance abuse, hostility, and social isolation are what kind of symptoms...O BehavioralOOPhysiologicalEmotionalCognitive What are the 3 state powers? In a certain country, the car number plate is formed by 4 digits from the digits 1, 2, 3, 4, 5, 6, 7, 8 and 9 followed by 3 letters from the alphabet. How many number plates can be formed if neither the digits nor the letters are repeated?. During a solar eclipse, it suddenly gets dark for a few moments, even though it is daytime. This is becauseO You are under the umbraO You are under the penumbraO The moon is in the new moon phaseO The sun is in it's darkened phase A 12 kg sled slides down a hill and collides inelastically with an 8 kg block at rest at the bottom of the hill (the sled and block stick together). There is no friction on the hill but the coefficient of friction on the flat ground is = .75. The sled and block slide for 2.5 meters along the flat ground before stopping. Calculate the following:1. What is the frictional force between the sled & block (stuck together) and the flatground?