how far away is the puddle from the house? angle of depression is 40 degree

Answer:

84

Step-by-step explanation:

If it's 18 juice boxes for 6 children then the ration is 6:18. Since both numbers are divisible by 3, do that. You then get a ratio of 2:6, both of those are divisible by 2, do that and get 1:3. So there's 3 juice boxes per kid, so multiply 28x3 and get 84.

Given that the discharge current decreases to 27% of its initial value in 1.40 ms, we can use the equation of discharge current:

The capacitance of the capacitor is 0 F.

Part A:

Given that the discharge current decreases to 27% of its initial value in 1.40 ms, we can use the equation of discharge current:

I = I₀e^(-t/RC)

Here,

I₀ = initial current

R = resistance

C = capacitance

t = time

We are given that the current is 27% of the initial value, so the equation becomes:

0.27 = \(1e^(-1.40*10^-3/RC)\)

Simplifying the equation, we find:

RC =\(3.28* 10^-3 s\)   ----(1)

Part B:

The time taken to discharge a capacitor through a resistance R is given by:

t = RC ln (Vc/V₀)

where Vc = voltage across the capacitor at time t and V₀ = initial voltage across the capacitor.

Substituting the values, we have:

\(1.40*10^-3\) = C*90 ln (0/100)

Since a fully discharged capacitor has a voltage of 0, we set Vc = 0. Thus, the equation becomes:

\(1.40*10^-3\)= C*90 ln (0)

The natural logarithm of 0 is negative infinity. Therefore, the equation becomes:

\(1.40*10^-3\)= C*90*(-infinity)

Simplifying further, we find:

C = 0

Thus, the value of capacitance is 0 F.

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The amount invested in the account with 2.3% interest is $1650 whereas $150 was invested in the account whose interest rate is 3.5%

What is Hattie's annual earnings on the investment of $1,800?

The earnings that Hattie would receive every year on the investment is $1,800, the investment multiplied by the expected rate of return of 2.4%

annual earnings=$1,800*2.4%

annual earnings=$43.20

Let the amount invested at 2.3% to be x and the amount invested at 3.5% would be (1800-x), hence, the interest earnings are shown thus:

interest on 2.3% investment=x*2.3%=0.023x

interest on 3.5% investment=(1800-x)*3.5%

interest on 3.5% investment=63-0.035x

total interest=0.023x+63-0.035x

total interest=63-0.012x

43.20=63-0.012x

0.012x=63-43.20

0.012x=19.80

x=19.80/0.012

x=amount invested at 2.3%=$1650

amount invested at 3.5%=$1800-$1650

amount invested at 3.5%=$150

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Answer:

Area of rectangular garden = lxb = 10*5

                                             = 50 sq. inch

when area increases by six times

new area = 50*6 = 300 sq inches

now,

let x be increasement in both  length and width

(5+x) (10+x) = 300

50 + 5x + 10x + x² = 300

x² + 15x - 250 = 0

x²+ 25x-10x -250 = 0

x(x+25) - 10 (x+25) = 0

( x-10) (x+25) = 0

either x + 25 =0

x = -25 length can be negative

0r x-10 = 0

x = 10

so 10 inches is increase on both side

Step-by-step explanation:

A gull can fly at a speed of 22 miles per hour i.e. equal to 116,160feett/hour and An AMTRAK train travels at 125 miles per hour i.e. equal to 2.1 miles/minute

Given that 1)A gull can fly at a speed of 22 miles per hour and asked to convert its units to  foot/hour

2)An AMTRAK train travels at 125 miles per hour and is asked to convert its units to  miles/minute

1 mile=5280 feet

22 miles/hour=22 × 5280 foot/hour

22 miles/hour=116,160 foot/hour

1 hour=60 minute

125 miles/hour= 125/60 miles/minutes

125 miles/hour= 2.083 miles/minutes≈ 2.1miles/minutes

Therefore, A gull can fly at a speed of 22 miles per hour i.e. equal to 116,160 feet/hour and An AMTRAK train travels at 125 miles per hour i.e. equal to 2.1 miles/minute

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Answer:

infinite

Step-by-step explanation:

the law in most states in the usa states there must be 3 letters and 3 numbers so there could be infinite

                            -hope this helps-

Answer:

-3

Step-by-step explanation:

2a - 6 = 4a

subtract 2a giving you -6 = 2a

divide by 2 from both sides so that a will be by itself

giving you -6 ÷ 2 = a

-6 ÷ 2 = -3

so a = -3

How much a statistic varies from one sample to another is known as the sampling variability of a statistic.

Testing variability arises due to the reality that exceptional samples of the same size can produce special values of a statistic, although the samples are described from the same populace. the quantum of slice variability depends on the scale of the sample, the variety of the populace, and the unique statistic being calculated.

The end of statistical conclusion is to apply the data attained from a sample to make consequences about the population, while counting for the slice variability of the statistic. ways similar as thesis checking out and tone belief intervals do not forget the sampling variability of a statistic to make redundant accurate consequences about the populace.

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The procedure for revising probabilities based on additional information is referred to as Bayesian updating

The procedure for revising probabilities based on additional information is referred to as Bayesian updating. Bayesian updating is a fundamental concept in Bayesian statistics, which allows for the incorporation of new evidence or data to update and refine prior beliefs or probabilities.

In Bayesian updating, the process begins with an initial prior probability, which represents the initial belief or knowledge about an event or hypothesis before any evidence is observed. As new evidence or data becomes available, it is used to update the prior probability and generate a posterior probability. The posterior probability represents the revised belief or probability after incorporating the new information.

Bayesian updating follows the principles of Bayes' theorem, which mathematically describes the relationship between prior probabilities, likelihoods, and posterior probabilities. It involves combining the prior probability with the likelihood of observing the data given the hypothesis and then normalizing the result to obtain the posterior probability.

The beauty of Bayesian updating is that it allows for a flexible and iterative process of continuously updating beliefs and probabilities as new information emerges. It provides a framework for incorporating both subjective prior beliefs and objective data to make more informed decisions and predictions. Bayesian updating has applications in various fields, including machine learning, decision-making, and scientific research.

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Answer: 33.375 feet

Step-by-step explanation:

To find the maximum height, we need to find the vertex of the parabolic function h = 16t² + 12t + 30.

The vertex of a parabola with equation y = ax^2 + bx + c is located at x = -b/2a and y = c - b^2/4a.

In this case, a = 16, b = 12, and c = 30.

So,

t = -b/2a = -12/(2*16) = -3/8

h = 16(-3/8)² + 12(-3/8) + 30 = 33.375

Therefore, the maximum height reached is 33.375 feet.

The solution is, (-1, -7), (0, -4), (1, -1), satisfies the graph function, the coordinates did we plot when we graphed the function y = 3x - 4

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

we graphed the function y = 3x - 4

now, the required coordinates are, which satisfies the graph function.

as, we get,

(-1, -7), satisfies the graph function

(0, -4) , satisfies the graph function

(1, -1), satisfies the graph function

Hence, The solution is, (-1, -7), (0, -4), (1, -1), satisfies the graph function, the coordinates did we plot when we graphed the function y = 3x - 4

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The measure of the given arc HJK is 186°.

Given measurement of the angle G = (4y - 11)°

The measurement of the angle J = (3y + 9)°

The measurement of the angle K = (x + 21)°

The measurement of the angle H = 2x°

From the below attached pic rule, in the given diagram angle J + angle G = 180°

So, J + G = 180°

= (4y - 11)° +  (3y + 9)° = 180°

= 7y -2 = 180°

= 7y = 182°

y = 182°/7 = 26°

By substituting y value which is "26°" in the angle G and J we can obtain their measurements as angle G = 93° and angle J = 87°.

Similarly, to find the value of x,

H + K = 180°

2x + (x + 21)° = 180°

3x + 21° = 180°

3x = 159°

x = 159°/3 = 53°.

By substituting x value which is "53°" in the angle H and K we can obtain their measurements as angle H = 106° and angle K = 74°

To find the measurement of arc, from the second attached image we can know that the angle of G is opposite to arc HJK. So, the relation is as follows,

measurement of arc HJK = 2 * angle of G

HJK = 2 * 93°

HJK = 186°.

From the above solution, we can conclude that the measurement of arc HJK is 186°

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Answer:

To factor the given expression: 32b - 16b - b(32 - 16) - b(32 + 16) - b(32 - 16) - b(32 + 16)

Let's simplify it step by step:

32b - 16b - b(32 - 16) - b(32 + 16) - b(32 - 16) - b(32 + 16)

= 16b - b(16) - b(48) - b(16) - b(48)

Now, we can factor out 'b' from each term:

b(16) + b(-16) + b(-48) + b(-16) + b(-48)

= 16b - 16b - 48b - 16b - 48b

Simplifying further:

= (16b - 16b - 48b - 16b - 48b)

= (-32b - 64b)

= -96b

Therefore, the factored expression is -96b.

8000 + 300 + 70 + 4 + 0.2 + 0.01

Answer:

\( - 3x - 13 = - 103 \: \: \: \times ( - 1) \\ 3x + 13 = 103 \\ 3x = 103 - 13 \\ 3x = 90 \\ x = \frac{90}{3} \\ x = 30\)

Answer: 48

Step-by-step explanation:

yes

Answer:

Step-by-step explanation:

If the side lengths are all different, none.

__

The following 7 combinations will form triangles:

  (5, 5, 5), (5, 5, 7), (5, 7, 7), (5, 15, 15)

  (7, 7, 7), (7, 15, 15)

  (15, 15, 15)

_____

Additional comment

The triangle inequality requires the sum of the two shortest lengths exceed the longest. Here, we have 5+7=12<15, so a triangle with all three lengths cannot be formed. We also note that 5+5=10<15, and 7+7=14<15, so isosceles triangles with only one side equal to 15 cannot be formed, either.

Answer:

none

Step-by-step explanation:

Answer: Greater than 10.

Answer:

3x square-30x +29=0. i think thats the equatiom

Step-by-step explanation:

There are 48.7 cups in total

2/18 of 48.7 cups is needed for volcano

Total amount needed for experiments are :

2/18 of 48.7 = 97.4/18 = 5.411 cups

If Rocco has 48.7 cups of flour in his storage unit and He needs 2/18 of  that amount to use for his homemade volcano then total number of cups needed for his experiment is 5.411

fraction is a mathematical expression representing the division of one whole number by another

Here given that  Rocco has 48.7 cups of flour in his storage unit. He needs 2/18 that amount to use for his homemade volcano.

Hence total number of cups needed for his experiment can be written as :

\(\frac{2}{18}\times \text{Total cups}\)

\(\frac{2}{18}\times 48.7\\\\\\\frac{2}{180}\times 487\\\\\\\\\frac{974}{180}\\\\ = 5.411\)

If Rocco has 48.7 cups of flour in his storage unit and He needs 2/18 of  that amount to use for his homemade volcano then total number of cups needed for his experiment is 5.411

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The quotient of 405/27 fraction using division is 15.

It should be noted that the information is simply to divide the numbers.

In this case, the numerator is 405 and the denominator is 27

Therefore, the quotient based on the information illustrated will be:

= 405 / 27

= 15

Therefore, the quotient is 15.

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Question 1a

To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:

Annual Depreciation = (Cost - Salvage Value) / Useful Life

Substituting the given values, we get:

Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year

This means that the tractor will depreciate by $18,000 each year for the next 10 years.

To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:

Depreciation Expense for Year 1 = $18,000

Therefore, the book value of the tractor at the end of the first year will be:

Book Value = Cost - Depreciation Expense for Year 1

= $200,000 - $18,000

= $182,000

So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D

Question 1(b)

To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:

Calculate the total current liabilities using the current ratio:

Current Ratio = Current Assets / Current Liabilities

2 = $80,000 / Current Liabilities

Current Liabilities = $80,000 / 2

Current Liabilities = $40,000

Calculate the total liabilities using the debt/equity ratio:

Debt/Equity Ratio = Total Liabilities / Owner Equity

1.0 = Total Liabilities / $100,000

Total Liabilities = $100,000 * 1.0

Total Liabilities = $100,000

Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:

Noncurrent Liabilities = Total Liabilities - Current Liabilities

Noncurrent Liabilities = $100,000 - $40,000

Noncurrent Liabilities = $60,000

Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.

Answer:

mIHE should be 133°

Step-by-step explanation:

A line is 180°, so, if you take 47° off you're left with 133.

Giving you an answer of 133°.

Answer:

8 books

Step-by-step explanation:

112-16=94

94÷12=8

answer:

B. P(red) = 2/5

step-by-step explanation:

blue = 3 / 5 (means that 3 out of the 5 are blue)

red = 2 / 5

Answer:

D

Step-by-step explanation:

Given Δ ABC is similar to Δ DEF then the ratios of corresponding sides are in proportion, that is

\(\frac{EF}{BC}\) = \(\frac{DE}{AB}\) , substitute values

\(\frac{x}{42}\) = \(\frac{5}{30}\) ( cross- multiply )

30x = 5 × 42 = 210 ( divide both sides by 30 )

x = 7

The ratio remains same

\(\\ \sf\dashrightarrow \dfrac{5}{x}=\dfrac{30}{42}\)

\(\\ \sf\dashrightarrow \dfrac{5}{x}=\dfrac{15}{21}\)

\(\\ \sf\dashrightarrow 15x=105\)

\(\\ \sf\dashrightarrow x=7\)

Answer:

8290

Step-by-step explanation:

Explanation is on the pic

The equation for the asymptote of the graphed function is x = 7

The asymptote is a endlessly tendency to a given value. A vertical one is a tendency to infinity.

Here we can see that there is a vertical asymoptote, notice that in one end the function tends to positive infinity and in the other it tends to negative infinity.

The equation of the line where the asymptote is, is:

x = 7

So that is the answer.

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