Estimate the uncertainty in the momentum of an electron whose location is uncertain by a distance of 2 angstroms. what is the uncertainty in the momentum of a proton under the same conditions?

Answer:

11 zeros

Step-by-step explanation:

10^13 = 100 000 000 000 000

Round the two first numbers(which makes 11 zeros left), then lastly the zeros

The shuttle is 34.03 miles high.

In this question,

Anna is watching a space shuttle launch 6 miles from Cape Canaveral in Florida.

The angle of elevation from her viewing point to the shuttle is 80°

If the space shuttle is going straight up, we need to how high the shuttle is.

Let x be the unknown value.

Consider tangent of angle 80°

So, tan(80°) = x/6

⇒ x = 6 × tan(80°)

⇒ x = 6 × 5.6713

⇒ x = 34.03 miles

Therefore, the shuttle is 34.03 miles high.

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Answer: 70 days

Step-by-step explanation:

The value is 3/2 (a)

The given function is , f(x)= 2x 3 where x = value of this function .

Here , we will put the value 1/4 ( here x = 1/4 ) into the given function. if , f(1/4) = 2 . 1/4 . 3 = 3/2

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The probability that a randomly chosen point in the interior of the square will also lie in the interior of the circle is  π/9 .

Probability of an event is defined as the Number of favorable outcomes divided by total number of outcomes.

It is denoted by P(E).

Given that

radius of circle = 3

side of the square = 9

Let E be the event that a randomly chosen point in the interior of the square will also lie in the interior of the circle

then

[tex]P(E)=\frac{AreaOfCircle}{AreaOfSquare}[/tex]   ...(i)

Area of Circle = πr² = π(3)² = 9π

Area of Square = (side)²=(9)²=81

Substituting the values in equation (i) we get

[tex]P(E)=\frac{9\pi }{81}[/tex]

[tex]=\frac{\pi }{9}[/tex]

Therefore  , the probability that a randomly chosen point in the interior of the square will also lie in the interior of the circle is  π/9 .

The correct option is (C)  π/9

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A triangle is a shape whose all three angles have a sum of 180 degrees. So from the above definition, we know that:

P + Q + R = 180

Q=3P

T=P + 20

Therefore:

P + 3P + P + 20 = 180

5P + 20 = 180

5P = 160

P = 32

Q = 3(32) = 96

R = 32 + 20 = 52

To Additional Control P + Q + R = 32 + 96 + 52 = 180 °Degree

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If linda is twice the age of vera. tanya is 4 less than 4 times the age of linda. their total age is 2 more than nine times the age of vera. tanya is 20 years old.

Let Vera's age be v

Let Linda's age be 2v

Let Tanya's age be 8v- 4

Let the total age be 9v + 2

Hence,

v + 2v + 8v- 4 = 9v + 2

11v - 4 = 9v + 2

Collect like terms

2v = 6

Divide both side by 2v

v=6/3

v = 3

So,

Tanya's age = 8v - 4

Tanya's age= 8(3) - 4

Tanya's age=24-4

Tanya's age = 20 years

Therefore if linda is twice the age of vera. tanya is 4 less than 4 times the age of linda. their total age is 2 more than nine times the age of vera. tanya is 20 years old.

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By combining the like terms, the simplified form of the expression -(3x-4y)+x is -2x+4y

Given,

The algebraic expression = -(3x-4y)+x

Expand the terms

-(3x-4y)+x= -3x+4y+x

Combine the like terms

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

=-2x+4y

Hence, by combining the like terms, the simplified form of the expression -(3x-4y)+x is -2x+4y

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The value of variable x in the given expression 9 √2 . x=18 √2 is equal to 2

As given in the question:

Given expression

9 √2 . x=18 √2

Simplify the given expression to get the value of variable x

9 √2 . x=18 √2

Divide by √2 both the side

(9 √2 . x ) / √2= ( 18 √2 )/ √2

⇒9x = 18

⇒ x= 18 /9

⇒ x = 2

Therefore, the value of variable x in the given expression 9 √2 . x=18 √2 is equal to  2

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Answer:

[tex] \sf \large \: m=−1[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

m/2 =m+5/10

Step 1: Simplify both sides of the equation.

1/2m=m+1/2

Step 2: Subtract m from both sides.

1/2m−m=m+1/2−m

−1/2m=1/2

Step 3: Multiply both sides by 2/(-1).

(2/−1)*(−1/2m)=(2/−1)*(1/2)

m=−1

Answer:

the equation would be 12m+125

Step-by-step explanation:

-

The jars are nor enough because the applesauce is more than 35 cups which is what 20 glass jars can contain. Since each of the cup will hold 1 3/4 cups of applesauce.

Given data

number of cups of apple sauce = 40

number of glass jars = 20

number of cups each glass jar can hold = 1 3/4

solution

if one glass jar hold 1 3/4 cups then 20 glass jars will hold

= 20 * 1 3/4

= 35 cups

Since there are 40 available cups of apple sauce and the 20 glass jars is equivalent to 35 cups, hence the glass jars will contain 35 cups and there will be 5 cups left.

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The solution of the given formula s = (1/2)gt² for the indicated variable g is g = 2s/t².

According to the given question.

We have a formula.

s = (1/2)gt²

Since, we have to solve this given formula s = (1/2)gt² for the variable g.

Which means we have to write separate variable g to one side from the other variables which are in the given formual s = (1/2)gt² .

Thereofre, the solution of the given formula for the variable g is given by

s = (1/2)gt²

⇒ 2s = gt²               (multipling both the sides by 2)

⇒2s/t² = g               (dividing both the sides by t²)

⇒ g = 2s/t²

Hence, the solution of the given formula s = (1/2)gt² for the indicated variable g is g = 2s/t².

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Step-by-step explanation:

[tex] = \lim \limits_{x \to0}x \cot(2x) [/tex]

[tex] = \lim \limits_{x \to0} \frac{x}{ \tan(2x) } [/tex]

[tex] = \lim \limits_{x \to0} \frac{x}{ \tan(2x) } \times \frac{2x}{2x} [/tex]

[tex] = \lim \limits_{x \to0} \frac{2x}{ \tan(2x) } \times \lim \limits_{x \to0} \frac{x}{2x} [/tex]

[tex] = \lim \limits_{u \to0} \frac{u}{ \tan(u) } \times \frac{1}{2} [/tex]

[tex] = \frac{1}{2} [/tex]

Answer:

21.9 is a possible value

Step-by-step explanation:

I just wrote the equation below have a very small but positive value on the right side and solved for x

x - 21.8 = 0.1

x = 21.9

3) a) The domain of the rational function is x ≥ 1.

b) The domain of the rational function is all the real numbers except x = 3 and x = - 4.

4) a) The root of the rational function is 6.

b) The roots of the rational function are 4 and 1.

Rational functions are algebraic expressions of the form P(x) / Q(x), where P(x) is the numerator and Q(x) is the denominator. 3) The domain of rational functions are the x-values that comprises P(x) except all values such that Q(x) = 0. Then, we proceed to find the domain of each function:

Case 1

The domain of P(x) = √(x - 1) is x ≥ 1 and the indetermination values of Q(x) = 2 · x is x = 0. Then, the domain of the rational function is x ≥ 1.

Case 2

The domain of P(x) = 3 is all the real numbers and the indetermination values of Q(x) = (x - 3) · (x + 4) are x = 3 and x = - 4. Then, the domain of the rational function is all the real numbers except x = 3 and x = - 4.

4) The roots of a function are all the values at which the function is evaluated such that is equal to zero.

Case 1

1 - 2 / (x - 4) = 0

[(x - 4) - 2] / (x - 4) = 0

x - 6 = 0

x = 6

The root of the rational function is 6.

Case 2

(x² - 5 · x + 4) / 5 = 0

x² - 5 · x + 4 = 0

(x - 4) · (x + 1) = 0

The roots of the rational function are 4 and 1.

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On solving for x, we get x = -1

A number base is the number of digits or combination of digits that a system of counting uses to represent numbers. Decimal system is the most commonly used number system with base 10.

Given is the following expression -

3 base x + 34 base x - 40 base x = 0

The given expression can be solved by converting the above expression in decimal form. Therefore -

3 base x in decimal = (3 x⁰) base 10 = 3

34 base x in decimal = (3 x¹ + 4 x⁰) base 10 = 3x + 4

40 base x = (4 x¹ + 0 x⁰) base 10 = 4x

Substituting the decimal values in the expression given -

3 + (3x + 4) + 4x = 0

7x + 7 = 0

7x = -7

x = - 1

Therefore, on solving for x, we get x = -1

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The summation notion of given series is ∑50+5n , here n starts from 0 and the sum of given arithmetic series is 455.

The given arithmetic series is 50+55+60+ . . .

The summation notion of given series is ∑50+5n , here n starts from 0.

The sum of arithmetic series can be written as,

[tex]S_{n}[/tex] = [tex](n(a_{1} + a_{n}))/2[/tex]

n is the number of terms, [tex]a_{1}[/tex] is the first term and [tex]a_{n}[/tex] is the last term.

We have, n=7, [tex]a_{1}[/tex] = 50

To calculate sum of arithmetic series, we need to find [tex]a_{7}[/tex] .

[tex]a_{7} = a_{1} + (n-1)d[/tex]

d = 5 for the given series. On substituting value of n, [tex]a_{1}[/tex] and d in equation1, we get

[tex]a_{7}[/tex] = 50 + (7-1)(5)

[tex]a_{7}[/tex] = 50 + 30 = 80

On substituting values in sum of arithmetic series formula, we get

[tex]S_{7}[/tex] = (7(50 + (80)))/2 = 455

The summation notion of given series is ∑50+5n , here n starts from 0 and the sum of given arithmetic series is 455.

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Measure of the combined angle of 71° .

71 degrees is an acute angle .

Given, that two measure of angles 44 degrees and 27 degrees .

Classification of angles :

Acute angle : 0° ≤ Ф ≤ 90°

Right angles : Ф = 90 degrees

Obtuse angles : 90° ≤ Ф ≤ 180°

Reflex angle : 180° ≤ Ф ≤ 360°

Here the angles given are 44 degrees and 27 degrees.

Combined measure of two angles = 44 + 27

= 71 degrees.

Acute angle : 0° ≤ Ф ≤ 90°

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[tex] \bf \implies \large{ - 2x}^{2} \\ [/tex]

[tex] \bf \longrightarrow - 4 \sqrt{16 {x}^{8} } \\ \\\bf \longrightarrow - { ({2}^{4} {x}^{8}) } ^{ \frac{1}{4} } \\ \\\bf \longrightarrow ( - 2x)^{ \frac{1}{ \cancel{4}}1 \times \cancel{ 8}2 } \\ \\\bf \longrightarrow \boxed{- 2x^{2}} \: ans.[/tex]

Answer:Substitute the value of the variable into the equation and simplify.

84

Step-by-step explanation:

This is recursive sequence and -2, -7, -12, -17, -22, -37 these are the first five terms of sequence.

A recursive formula is one that defines each term in a sequence by reference to the one before it. The following parameters are defined using the recursive formulas:

1. The initial term in the series.

2. The general rule for determining any term from its preceding term.

Recursive Arithmetic Sequence Formula

The following is the recursive formula to determine the nth term in an arithmetic series:

an = an-1 + d for n ≥ 2

where

The common difference is d, and an is the nth term of an A.P.

given that

a₁ = -2

a (n) =a (n-1) -5 so, d = -5

For example, we need to extend the sequence term by term in order to find the first five terms:

a(1) = -2

a(2) = a(1) + d = -2 + (-5) = -7

a(3) = a(2) + d = -7 + (-5) = -12

a(4) = a(3) + d = -12 + (-5) = -17

a(5) = a(4) + d = -17 + (-5) = -22

a(6) = a(5) + d = -22 + (-5) = -27

Hence,this is recursive sequence and -2, -7, -12, -17, -22, -37 these are the first five terms of sequence.

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The expression at the end of the third year would be:  500x³ + 200x² + 600x

We have the rate at x = 1 + r

This is the rate of the interest that is earned per year.

In the first year.

initial deposit = $500

deposit at the end of the year = 500 * x = 500x

In the second year

The initial balance = 500x + 200

The balance at the end of the year = (500x + 200)x

= 500x² + 200x

In the third year

Initial balance = 500x² + 200x + 600

Then the year end balance would be (500x² + 200x + 600)x

= 500x³ + 200x² + 600x

Hence the expression that can be used to show the polynomial is given as 500x³ + 200x² + 600x

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The height of the lighthouse to the nearest tenth of a foot is 137.8 feet.

This is a question of heights and distances.

It is given in the question that the passing boat is 310 feet from the base of a lighthouse. Also, the angle of depression from the top of the lighthouse is 24°.

We have to find the height of the lighthouse to the nearest tenth of a foot.

As you can see in the figure, using trigonometry we can write,

cot 24 = 310/Height of the lighthouse

Hence,

Height of the lighthouse = 310/cot 24

We know that,

cot 24 ≈ 2.25

Hence,

Height of the lighthouse = 310/2.25 ≈ 137.77778 ≈ 137.8 feet.

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The constant percent rate of change of f(x) with respect to x is (d) 25% decay

The function is given as

f(x) = 46(0.75)^x

The above function is an exponential function

The growth/decay factor is

b = 0.75

The constant rate is then calculated as

Rate = 1 - b

This is because b is less than 1 (i.e. an exponential decay)

So, we have

Rate = 1 - 0.75

Evaluate

Rate = 25%

Hence, the constant percent rate of change of f(x) with respect to x is (d) 25% decay

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Answer: D

Hope this helps :)

According to the given statement The total far distance = 88.2cm

A lens equation, sometimes known as a lens formula, is an equation that connects focal length, image distance, as well as object distance. . where v is the distance between the picture and the lens, u is the object distance, and f is the focal length

A lens's power is defined as both the reciprocal of its focal length. It is symbolized by that the letter P. P=1f gives the power P of something like a lens with a focal length of f (in m). The SI unit of lens power is a 'diopter.'

P = -1.16

The expression of the focal length is represented as:

f = 1/p

p is the power.

so,

f = 1/-1.16

 = -0.862

 = -86.2 cm

the expression for the lens formula is:

1/f = 1/v - 1/u

1/(-86.2) = 1/v - 0

v = -86.2

The total distance is represent as:

d = v + s

so,

d = 86.2 + 2

  = 88.2 cm

The total far distance = 88.2cm.

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Answer:

C.)-200

Step-by-step explanation:

Each week if you take away $40 for 5 weeks, you would take away $220. -40*5=200.

Answer:

(a): 26.1

(b): 27.9

Please see below for the steps.

Step-by-step explanation:

(a):

Use points (0,0) and (3, 78.3)

Use slope formula. The slope formula is also used to find average rate of change (just so you know).

y2-y1/x2-x1

78.3-0/3-0=78.3/3=26.1

Answer for (a) is 26.1

(b):

Use points (4, 147.6) and (9, 287.1)

Use slope formula.

y2-y1/x2-x1

287.1-147.6/9-4=139.5/5=27.9

The answer for (b) is 27.9

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