a pole that is 3.2m tall casts a shadow that is 1.48m long. at the same time, a nearby building casts a shadow that is 42.25m long. how tall is the building? round your answer to the nearest meter.

a) The probability of being randomly assigned a password with all vowels, allowing repetition of letters, is 0.077. b) The probability of being randomly assigned a password with no consonants, without repetition of letters, is 0.

a) To calculate the probability of a password with all vowels, allowing repetition of letters, we need to determine the total number of possible passwords and the number of passwords that meet the given condition. Since there are 12 vowels in the alphabet, each letter of the password has a 12/30 = 2/5 probability of being a vowel. Since repetition is allowed, the probability for each letter remains the same. Therefore, the probability of all 5 letters being vowels is (2/5)^5 = 0.077.

b) If repetition of letters is not allowed, it means each letter of the password must be unique. Since there are 12 vowels and 18 consonants in the alphabet, the total number of possible passwords without repetition is 12P5, which is the permutation of 12 items taken 5 at a time. However, since we are looking for passwords with no consonants, there are no possible passwords that meet this condition. Therefore, the probability is 0.

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The monthly repayment for the first loan is $1,370.55 and the total interest paid over the life of the loan is approximately $290

The monthly repayment for the second loan is $6,523.96 and the total interest paid over the life of the loan is approximately $1,160,310.00.

Loan 1:

Loan amount = $210,000

Interest rate = 6.57% per year (compounded monthly)

Duration = 25 years

Payment frequency = Monthly

Using the formula for monthly loan payments, we can calculate the repayment amount:

Repayment = [P * r * \((1 + r)^n\)] / [\((1 + r)^n\) - 1]

where P is the loan amount, r is the monthly interest rate, and n is the number of payments.

First, we need to convert the annual interest rate to a monthly rate:

r = 6.57% / 12 = 0.5475% per month

n = 25 years * 12 months per year = 300 months

Substituting the values into the formula, we get:

Repayment = [210,000 * 0.005475 * (1 + 0.005475)^300] / [(1 + 0.005475)^300 - 1]

Repayment ≈ $1,370.55

Total interest paid over the life of the loan = Repayment * number of payments - P

Total interest = $1,370.55 * 300 - $210,000

Total interest ≈ $290,165.00

Therefore, the monthly repayment for the first loan is $1,370.55 and the total interest paid over the life of the loan is approximately $290,165.00.

Loan 2:

Loan amount = $731,500

Interest rate = 8.75% per year (compounded monthly)

Duration = 20 years

Payment frequency = Monthly

Using the same formula as above, we can calculate the repayment amount:

r = 8.75% / 12 = 0.7292% per month

n = 20 years * 12 months per year = 240 months

Repayment = [731,500 * 0.007292 * (1 + 0.007292)^240] / [(1 + 0.007292)^240 - 1]

Repayment ≈ $6,523.96

Total interest paid over the life of the loan = Repayment * number of payments - P

Total interest = $6,523.96 * 240 - $731,500

Total interest ≈ $1,160,310.00

Therefore, the monthly repayment for the second loan is $6,523.96 and the total interest paid over the life of the loan is approximately $1,160,310.00.

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Answer: 0 = 0

Step-by-step explanation: Rearrange terms: 6-2 ( -x+8 ) = 2x -10

Distribute: 6 + 2x - 16 = 2x - 10

Subtract 6 and 16: -10 + 2x = 2x - 10

Rearrange terms: 2x - 10 = 2x -10

Add ten to both sides: 2x - 10 + 10 = 2x - 10 + 10

Simplify: 2x = 2x

Subtract 2x from both sides: 2x - 2 = 2x - 2

Simplify: 0 = 0

Hope that helps!

Step-by-step explanation:

4x + 2y = 6       'Solve for y '   will be slope-intercept from

2y = -4x + 6

y =  -2 x + 3        Done.

Answer: Your answer is D y = -2x+3

Hope it helped :D

Please mark me brainliest

Answer:

680

Step-by-step explanation:

Use the binomial coefficient where you choose \(k=3\) numbers out of \(n=17\) possible numbers and find the total amount of combinations since order does not matter:

\(\displaystyle \binom{n}{k}=\frac{n!}{k!(n-k)!}\\ \\\binom{17}{3}=\frac{17!}{3!(17-3)!}\\\\\binom{17}{3}=\frac{17!}{3!(14)!}\\\\\binom{17}{3}=\frac{17*16*15}{3*2*1}\\\\\binom{17}{3}=680\)

Thus, you can make 680 three-non-repeating-number codes

The coordinates of an undefined slope are points that are either the same or have no x-value. In both cases, the slope of a line between these points would be undefined because it would involve dividing by 0, which is not allowed in mathematics. This is because the slope of a line is calculated by dividing the difference in y-coordinates by the difference in x-coordinates, and if the x-coordinates are the same or do not exist, this division would result in an undefined value.

Answer:

Hana is wrong

Step-by-step explanation:

savings=26+34

=60

savings left after spending=60-6-3

=51

Answer:

B :) (im sure btw)

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

a)

b)

c)

d)

e

Answer:

The answer is 36

Step-by-step explanation:

First solve in parenthesis; 4-1=3

Then multiply that by the 2 to get 6

Then raise that value by the square root of 6^2 = 36

Hey there!☺

\(Answer:\boxed{18}\)

\(Explanation:\)

\(2(4-1)^2\)

First, do the parenthesis.

\((4-1)=3\)

Now add the exponent to 3.

\(3^2\)

Now do the exponent.

\(3^2=9\)

Now multiply 9 by the number we have left which is 2.

\(2*9=18\)

\(18\) is your answer.

Hope this helps!☺

the highest possible number of components that would manufacture them the most efficiently  =  33%

The correct option is C.

What is percentage?

a percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified. percentage.

According to the given information:

the 50 electronics components that a factory must manufacture.

70 percent would be most efficiently manufactured by Machine A

30 percent would be most efficiently manufactured by Machine B,

If 36 percent of the components were manufactured by Machine A

the highest possible number of components that would manufacture them the most efficiently =

we know that :

A can manufacture:

50*70% = 35 components efficiently

B can manufacture:

50*30% = 15 components efficiently;

now :

A actually manufactured:

50*36% = 18 components (so all efficiently, since 35>18);

B actually manufactured:

50-18 = 32 components, out of which 15 were manufacture efficiently;

so,

the highest possible number of components that would manufacture them the most efficiently = 18 + 15

                                          =  33

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I understand that the question you are looking for is :

Of the 50 electronics components that a factory must manufacture, 70 percent would be most e¢ ciently manufactured by Machine A and the remaining 30 percent would be most efficiently manufactured by Machine B, though either machine could manufacture any of the 50 components. If 36 percent of the components were manufactured by Machine A and the remainder were manufactured by Machine B, what is thehighest possible number of components that were manufactured by the machine that would manufacture them the most efficiently?

(A) 30

(B) 32

(C) 33

(D) 35

(E) 36

Answer:

I think is D

Step-by-step explanation:

hope it helps <3

brainliest plz?

Answer:

ps and qr is parellel so the 70°and x is co interior angles.

so, our equation will be look like .

70°+x=180°

x=180°-70°

x=110°

The sides PS and QR are parallel for x = 110°

Option 4 is correct.

The pair of non-adjacent interior angles that are on the same side of the transversal are referred to as consecutive internal angles.The term "consecutive" describes events that take place side by side.

As per the given data:

PQRS is a quadrilateral with sides PS and QR parallel.

∠P = 70°

∠Q = x°

∠S = 112°

For sides PS and QR to be parallel:

∠Q + ∠P = 180° {Co-interior angles on the same side of the transversal}

x° + 70° = 180°

x = 110°

Hence, sides PS and QR are parallel for x = 110°

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I hope this helps you

at the 30-60-90 triangle has rules

30=>k

60=>k(square root of) 3

90=>2k

so in this triangle 60=> see 9

k(square root of) 3=9

k=9/(square root of) 3

2k=18/(square root of) 3

at the 45-45-90 triangle rules are

45=>2k

45=>2k

90=>[2k/(square root of 3)] (square root of) 2

x=[18/(square root of 3)].(square root of 2)

x=18(square root of 2)/square root of 3

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Got it right on Edge 2020

The value of the computer after n years of use is g(n)=2100(0.7)^n.  (D)

Compound interest is an interest accumulated on the principal and interest together over a given time period. The interest accumulated on a principal over a period of time is also accounted under the principal. Further, the interest calculation for the next time period is on the accumulated principal value. Compound interest is the new method of calculation of interest used for all financial and business transactions across the world. The power of compounding can easily be understood, when we observe the compound interest values accumulated across successive time periods.

To determine the computer's value after n years of use, we use the depreciation formula below:

A(n) = P(1-r)ⁿ

Here, the Principal, P = $2100 and the rate, r = 30%

Substitute these values into the formula.

\(g(n) = 2100 (1-0.3)^{n} \\g(n) = 2100 (0.7)^{n}\)

Thus, the value of the computer after n years of use is g(n)=2100(0.7)^n.  (D)

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Answer:

995 pounds took the test got it right

Step-by-step explanation:

Answer:

5 pounds

Step-by-step explanation:

% (percent) means 100

0.5% of (1000 pounds)

= 0.5% × (1000 pounds)

= 0.5 ÷ 100 (1000 pounds)

=  5 pounds

Answer:

Step-by-step explanation:

y=-3/2x+5

Answer:

0.00578 the answer is 0.0058

Answer:

Area = 29284.87 ft²

Step-by-step explanation:

I've drawn a triangle to depict the movement of the dog with the angle and dimensions.

From the attached triangle, we see that the starting point is C, the first point is A and the second point is B.

Let's find the third side from the image using law of cosine.

Thus;

b² = a² + c² - 2ac cos B

Thus;

b² = 180² + 329² - 2(180 × 329)cos 81.5

b² = 32400 + 108241 - 17506.55

b² = 123134.45

b = √123134.45

b = 350.91 ft

We calculate the area of the triangle using heron's formula.

Area = √(p(p − a)(p − b)(p − c))

Where p = (a + b + c)/2 = (180 + 350.91 + 329)/2 = 429.955 ft

Area = √(429.955(429.955 - 180)(429.955 - 350.91)(429.955 - 329)

Area = 29284.886 ft²

To the nearest Hundredth gives;

Area = 29284.87 ft²

Answer:

29284.76

Step-by-step explanation:

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it requires a detailed analysis of multiple transactions and the preparation of journal entries. This type of task is better suited for an accounting professional who can thoroughly review the provided information and accurately apply the relevant accounting principles.

However, I can provide a general overview of the journal entries that may be required based on the information given:

January 1, 2020:

Debit: Investment in Kinman Company (40% of cash paid)

Credit: Cash (Amount paid for the acquisition)

Recording Equity in Earnings for 2020:

Debit: Investment in Kinman Company (40% of net loss)

Debit: Investment in Kinman Company (40% of other comprehensive loss)

Credit: Equity in Earnings of Kinman Company

December 31, 2020:

Debit: Investment in Kinman Company (40% of dividend received)

Credit: Dividend Income

January 1, 2021:

Debit: Investment in Kinman Company (40% of additional investment)

Credit: Cash

Recording Equity in Earnings for 2021:

Debit: Investment in Kinman Company (40% of net income)

Credit: Equity in Earnings of Kinman Company

December 31, 2021:

Debit: Investment in Kinman Company (40% of dividend received)

Credit: Dividend Income

Please note that the above entries are a general guideline and may not capture all the necessary transactions. It is advisable to consult with an accounting professional or refer to the specific accounting standards applicable in your jurisdiction for a more accurate and comprehensive answer.

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The improper integral ∫[-∞, ∞] | sin | + | cos 0 ≥ sin² 0 + cos² 0. [infinity] p sinx+cos x |x| +1 de is divergent.

To determine whether the improper integral | sin | + | cos 0 ≥ sin² 0 + cos² 0. [infinity] p sinx+cos x |x| +1 de converges or diverges, we need to evaluate the integral by breaking it into two separate integrals and then applying the limit test for convergence.

First, we split the integral into two parts:

∫[0, ∞) (|sin x| + |cos x|) dx + ∫[-∞, 0] (|sin x| + |cos x|) dx

Next, we simplify each integral by using the fact that |sin x| ≤ 1 and |cos x| ≤ 1 for all x:

∫[0, ∞) (|sin x| + |cos x|) dx ≤ ∫[0, ∞) (1 + 1) dx = ∞

∫[-∞, 0] (|sin x| + |cos x|) dx ≤ ∫[-∞, 0] (1 + 1) dx = -∞

Since both of these integrals diverge to infinity and negative infinity, respectively, we can conclude that the original improper integral also diverges.

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the answer is 126 hope it helps

Answer: y = \(\frac{1}{2} x\) - 3

Step-by-step explanation:

Answer:

i have no idea what is the question would you please provide me exact questions

Answer:

what?

Step-by-step explanation:

doesnt understand

The mentioned function calculates and returns the interpolated values of a given function object over the specified x-axis limit and number of points. The interpolation style can be either 'linear' or 'nearest'.

Function interpolate_function (function, limit, points, int_style) is written below:

```def interpolate_function

(function, limit, points, int_style):    x = np.

linspace(0, limit, points)    if int_style =

= 'nearest':        return np.round(function(x))    elif int_style =

= 'linear':        return function(x)```

The `interpolate_function` function takes the following parameters:

function: This is the function object that will be used for interpolation.

limit: It is the x-axis limit in float value. points: It specifies the number of interpolated points in the output.

int_style: This is a string which specifies the interpolation style ('linear' or 'nearest').

Finally, we can summarize the function using the conclusion. This function calculates and returns the interpolated values of a given function object over the specified x-axis limit and number of points. The interpolation style can be either 'linear' or 'nearest'.

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