θ =120°
θ =240°
θ =270°
θ =0°
θ =210°
θ =180°
θ =90°

02410.0 points
The charge on an electron is 1.60218 x 10⁻¹⁹C and its mass is 9.10939 x 10⁻³¹ kg.

What is the kinetic energy of an electron that passes undeviated through perpendicular electric and magnetic fields if E=0.18 kV m and B=1.1mT ?
Answer in units of eV.

Answer: 1/3

Step-by-step explanation:

In a multiple-choice examination with 3 choices for each question, the probability of guessing the correct answer is 1/3. Since you are trying to guess exactly 6 of 10 answers correctly, this means that you will be guessing incorrectly on 4 of the 10 questions. The probability of guessing incorrectly on a single question is 2/3.

To find the probability of guessing exactly 6 of 10 answers correctly, we can use the binomial probability formula, which is given by the following expression:

P(x) = (n!/(x!(n-x)!) * p^x * (1-p)^(n-x)

In this formula, n is the total number of trials, x is the number of successes, p is the probability of success on a single trial, and 1-p is the probability of failure on a single trial.

Plugging in the values for this problem, we get:

P(6) = (10!/(6!(10-6)!) * (1/3)^6 * (2/3)^4

= 210 * (1/3)^6 * (2/3)^4

= 210 * (1/3^6) * (2/3^4)

= 210 * (1/3^6) * (1/3^2)

= 210 * (1/3^8)

= 210 * (1/6561)

= 0.0322

So the probability of guessing exactly 6 of 10 answers correctly in a multiple-choice examination with 3 choices for each question is approximately 0.0322, or about 3.22%.

Cliff pays a total interest of approximately $679.90 on his $5,000 loan.

To calculate the total interest paid on the loan, we need to use the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:

A is the final amount (loan amount + interest)

P is the principal (loan amount)

r is the annual interest rate (in decimal form)

n is the number of times interest is compounded per year

t is the number of years

Given that Cliff takes out a $5,000 loan with a fixed annual interest rate of 7% compounded monthly, we can substitute the values into the formula:

P = $5,000

r = 7% = 0.07

n = 12 (monthly compounding)

t = 2 years

\(A = 5000(1 + 0.07/12)^{(12 \times 2)\)

Calculating this expression:

A ≈ 5000\((1.00583)^{(24)\)

A ≈ 5000(1.13598)

A ≈ 5679.90

The final amount (A) is the loan amount plus the total interest paid. Therefore, to find the total interest paid, we subtract the principal (P) from the final amount (A):

Total Interest = A - P

Total Interest = 5679.90 - 5000

Total Interest ≈ $679.90

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Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

The height of the sand in the display container is 12 inches when the display container is right triangular prism.

What is right triangular prism ?

A right triangular prism is a three-dimensional geometric shape with two parallel triangular bases and three rectangular faces. The rectangular faces connect the corresponding vertices of the triangular bases.

To find the height of the sand in the display container, we need to use the fact that the volume of sand in the storage container is equal to the volume of sand in the display container.

The storage container has a length, width, and height of 6 inch, 6 inch, and 6inche, respectively. Then, the volume of the storage container is:

\(V_{storage} = L * W * H = 6 * 6 * 6 = 216 inch^3\)

Similarly, let's assume that the display container has a base of length 4 inch and height 9 inches and height of sand be H.

Then, the volume of the display container is:

\(V_{display} = (1/2) * b * h * H = (1/2) * 4 * 9 * H = 18H\)

where (1/2) is the area of the triangle base of the display container.

Since the volumes of sand in both containers are equal, we can set these expressions equal to each other and solve for h:

216 = 18H

H = 12 inches

Therefore, the height of the sand in the display container is 12 inches.

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Answer:

-14

Step-by-step explanation:

We have two points

(2010, 320)  and ( 2020, 180)

The slope is

m= ( y2-y1)/(x2-x1)

   = ( 180-320)/(2020-2010)

   = -140/10

   = -14 lbs/ year

Answer:

91.9/29.1=3.15807560137

so around 3.16

The question is incomplete. The complete question is :

The fuel efficiency for a new helicopter engine is given by the continuous function r(c) where r is measured in gallons per mile and c is measured in miles. What are the units of \($\int_0^7 r(c) \ dc$\)   ?

Solution :

The given continuous function is :

r(c), here c is measured in miles and the unit of r is measured in gallons per mile.

So the unit of  \($\int_0^7 r(c) \ dc$\) is given by :

= gallons per mile x mile

= gallons

So, the final unit is gallons.

Answer:

The smaller the coefficient (the number in front of the x), the wider the parabola

Step-by-step explanation:

Answer:

9=y

Step-by-step explanation:

The y-intercept is the point at which the graph of the equation crosses the y-axis.  This is the point at which x=0 so you can calculate the y-intercept by plugging into the given equation.

\(x^2-6x+9=y\\0^2-6(0)+9=y\\0-0+9=y\\9=y\)

Hope this helps!!

Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

The degrees of freedom is \(12N\)

What is degrees of freedom?

Degrees of freedom refers to the maximum number of logically independent values, which are values that have the freedom to vary, in the data sample. Degrees of freedom is calculated by subtracting one from the number of items within the data sample.

\(\text { Least Common Multiplier of } N, 12: 12 N\)

Find Least Common Multiplier of \($N, 12$\)

Lowest Common Multiplier \((LCM)\)

The LCM of \($a, b$\) is the smallest multiplier that is divisible by both \($a$\) and\($b$\)

Factor 12

\($2^2 \cdot 3$\)

Multiply each factor with the highest power:

\(12 \mathrm{~N}\)

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Answer:

21/100

Step-by-step explanation:

By looking at the table, we can find the box that has information on people who have dogs but do not walk. The number is 21. The total number of people is 100. To find probability, divide 21 by 100.

21/100

This fraction is in its simplest form and cannot be simplified any further.

Answer:

5

Step-by-step explanation:

&-$+;$;$+$($!$!"8"8$;"+$+

The within-treatments sum of squares is sometimes referred to as the "error sum of squares" because it represents the amount of variability in the data that is not accounted for by the treatment effect. In other words, it represents the variability that is due to random error or chance factors that are not related to the treatment. The error sum of squares is used to estimate the variance of the population from which the samples were drawn. The F-ratio is then calculated by comparing the treatment mean square to the error mean square. If the treatment effect is significant, then the treatment mean square will be larger than the error mean square, resulting in a larger F-ratio and a rejection of the null hypothesis. Therefore, the error sum of squares is an important component of the ANOVA table as it helps to determine whether the treatment effect is significant or not.

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itd be 5.4 kg

2.5 + 3.2 + 6.3 × .45 = 5.4

Step-by-step explanation:

It is important to know that the diagonals of a rhombus are PERPINDICUALR bisectors of each other .   Opposite angles are equal and adjacen angles sum to 180 degrees .

Then remember alternate angles are equal  and there are 180 degrees inside of a triangle .....then you should be able to solve these...here is the first one

Answer:

Set D

Step-by-step explanation:

There's 2 different y-values for the x value, 2 in Set D

Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

Answer:

A

Step-by-step explanation:

Answer: z=1−x+w/r

Step-by-step explanation:

Subtract x from both sides.

z-w/r=1-x

Add w/r to both sides.

z=1−x+w/r

hope i helped

-lvr

The completed Venn Diagram is given by the image shown at the end of the answer.

The percentages are given as follows:

The Venn diagram starts to be filled from the most restrictive conditions, towards the least restrictive.

2% of people answered all three, hence:

V = 2%.

3% of people answered light rail and bus, hence:

IV + V = 3%

IV = 1%.

6% of people answered light rail and carpool, hence:

II + V = 6%

II = 4%.

2% of people answered carpool and bus, hence:

V + VI = 2%

V = 0%.

11% of people answered carpool, hence:

III + II + V + VI = 11

III + 4 + 2 + 0 = 11

III = 5%.

10% of people answered bus, hence:

IV + V + VI + VII = 10

1 + 2 + 0 + VII = 10

VI = 7%.

16% of people answered light rail, hence:

I + II + IV + V = 16

I + 4 + 2 + 1 = 16

I = 9%.

Then the or percentage is given as follows:

9 + 7 + 5 + 1 + 2 + 4 = 28%.

The percentage that uses other mediums is given as follows:

VIII = 100 - 28 = 72%.

Then the missing percentages are given as follows:

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The product of 0.105 and 1000.2000 has three significant digits.

The answer is D. 3.

To determine the number of significant digits in the product of 0.105 and 1000.2000, we need to consider the rules for significant figures in multiplication.

In multiplication, the result should have the same number of significant digits as the measurement with the fewest significant digits. Let's analyze the given numbers:

0.105 has three significant digits (leading zeros are not significant).

1000.2000 has eight significant digits.

When multiplying these numbers, the product is 105.02100. The measurement with the fewest significant digits is 0.105 with three significant digits. Therefore, the product should also have three significant digits to maintain accuracy and precision.

Hence, the answer is D. 3. The product of 0.105 and 1000.2000 has three significant digits. It's important to consider significant figures in calculations to ensure the appropriate level of precision and avoid introducing misleading or inaccurate information.

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Answer:A topic sentence is used to bring

to a paragraph.

Step-by-step explanation:

A topic sentence is used to bring

to a paragraph.

Answer:

6x^3+x^2+3x-6

Step-by-step explanation:

f(x) = 4x² + 3x - 2

g(x) = 6x³ - 3x²-4

(f +g) (x)​ =4x² + 3x - 2+6x³ - 3x²-4

Combine like terms

             =6x^3+4x^2-3x^2+3x-2-4

             =6x^3+x^2+3x-6

Answer:

(-1,0): x axis and 2nd quadrant, (3,-3): fourth quadrant, (-4,-3): 2nd quadrant, and (7,6): first quadrant

Step-by-step explanation:

Answer:

2nd,4th,2nd and 1st in quadrant they lie

The probability values for the questions posed are :

A.)

Number of students Taking a public speaking class majoring in business administration.

P(PS or BA) = 55/100 = 11/20

Therefore, the probability of PS or BA is 11/20

B.)

For the survey described, P(taken a public speaking class | majoring in Business Administration) represents the probability that a selected student has taken a public speaking class given that the student is majoring in business administration.

Hence, as inferred from P(A|B) ; probability of A given B.

C.)

P(PS|BA) = n(PSnBA) / n(BA)

n(PS) = 10+20 = 30

n(PSnBA) = 10

P(PS|BA) = 10/30 = 1/3

Therefore , the probability of PS|BA is 1/3.

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Answer:

18

Step-by-step explanation:

30*0.4=12

This means 40% of 30 is 12 and Ana has completed 12 problems.

30-12 = 18, so she still needs to do 18 problems.