what ratio is equivalent to 1 : 5

Answer:

12)

a =140º

b=40º

c=40º

d 140º

Step-by-step explanation:

a line is 180º

Reduced wastewater flow can lead to elevated levels of ammonium in the wastewater and elevated H2S concentrations in the collection systems and treatment facilities.

1. When wastewater flow is reduced, the residence time of the wastewater in the collection systems and treatment facilities increases. This means that the wastewater stays in these systems for a longer period of time before being treated or discharged.

2. Ammonium (NH4+) is a common form of nitrogen found in wastewater. In the presence of bacteria, ammonium can be converted into nitrate (NO3-) through a process called nitrification. However, nitrification requires oxygen, which may become limited when the wastewater flow is reduced. As a result, the conversion of ammonium to nitrate may be hindered, leading to elevated levels of ammonium in the wastewater.

3. H2S (hydrogen sulfide) is a gas that is produced as a byproduct of anaerobic bacterial activity in the absence of oxygen. In wastewater treatment systems, anaerobic conditions can occur when there is limited oxygen supply, such as in low flow conditions. This can result in the accumulation of H2S, which is responsible for the characteristic odor of sewage.

4. In collection systems and treatment facilities, reduced wastewater flow can create stagnant areas where H2S gas can accumulate. The low flow conditions limit the oxygen supply, favoring the growth of anaerobic bacteria that produce H2S. This can result in elevated H2S concentrations in the collection systems and treatment facilities.

To estimate the chloroform concentration in potable water from your shower head, you can use Henry's Law, which states that the concentration of a gas dissolved in a liquid is proportional to the partial pressure of the gas above the liquid.

1. Determine the Henry's constant for chloroform in water. The Henry's constant is a measure of how readily a gas dissolves in a liquid.

2. Estimate the partial pressure of chloroform in the air. This can be done by measuring the concentration of chloroform in the air using appropriate methods or by obtaining data from reliable sources.

3. Use the Henry's constant and the estimated partial pressure of chloroform in the air to calculate the chloroform concentration in the water. Multiply the Henry's constant by the partial pressure of chloroform and divide by the atmospheric pressure.

Please note that the chloroform concentration in potable water from a shower head may vary depending on various factors such as the quality of the water supply, temperature, and usage patterns. It is important to consider the specific conditions and sources of information when estimating the chloroform concentration.

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Answer:

\(\$ \ \dfrac{428}{500}x\)

Step-by-step explanation:

Regular price of a pair of shoes = $\(x\)

Discount offered = 20%

Amount of discount offered = 20% of $\(x\)

Discounted price = Regular price - Amount of discount

Discounted price = $\(x\) - 20% of $\(x\) = 80% of $\(x\) = \(\$ \frac{4}{5}x\)

Now, it is given that there is a sales tax of 7% as well on the price.

Sales tax is applied on the discounted price.

Therefore, sales tax = 7% of \(\$ \frac{4}{5}x\)

Final Price after applying the sales tax = \(\$ \frac{4}{5}x\) + 7% of \(\$ \frac{4}{5}x\)  

\(\Rightarrow 107\%\ of\ \$\ \ \dfrac{4}{5}x\)

\(\Rightarrow \$ \ \dfrac{428}{500}x\)

Therefore, the expression to represent the final price of the pair of shoes:

\(\$ \ \dfrac{428}{500}x\)

Answer:

it is terminating

Step-by-step explanation:

Answer:

11/20 is a terminating decimal.

Step-by-step explanation:

1) Find the denominator of 11/20 in its lowest form.

The greatest common factor (GCF) of 11 and 20 is 1. Convert 11/20 to its simplest form by dividing the numerator and denominator by its GCF: The denominator of 11/20 in its lowest form is 20.

11 ÷ 1  / 20 ÷ 1  = 11 /  20

2) Find the prime factors of the answer in Step 1.

The prime factors of 20 are all the prime numbers that you multiply together to get 20. The prime factors of 20 are:

2 x 2 x 5

3) Determine if 11/20 is terminating.

A fraction is a terminating decimal if the prime factors of the denominator of the fraction in its lowest form only contain 2s and/or 5s or no prime factors at all. This is the case here, which means that our answer is as follows:

11/20  = terminating.

Hope this helps.

The formula for D2 to be placed in order to find the unit price is D2 = B2/C2.

What is the unit price?

The average price of a product is calculated by dividing the total sales revenue by the total units sold. Managers must define "comparable" units when a single product is sold in variants, such as bottle sizes.

To find the unit price of an object, You divide the price by the Object. We need to find how much an object cost per unit.

Let, us consider an Example we have 50lbs of Kulfi (Object) that cost 8.00 dollars(price).

To find the Unit cost, We take the 8.00 and divide it by 50, which results in 0.16 cents per pound. We can check this by multiplying 0.16 by 50=8.00

So, Object= Number of units in cell = C2

Price of Object = B2

Unit Price Formula = D2

Therefore, by considering the above example.,

Object = C2 = 50

Price = B2 = 8.00

D2 Formula= Price of Object/ Number of Units

Therefore, The formula for D2 to be placed in order to find the unit price is D2 = B2/C2.

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Based on the given information, we know that x must be 2 since it is the only even prime number. We also know that y must be either 11, 13, 17, or 19 since those are the only prime numbers between 10 and 20.

So, the sum of x and y can be 2 + 11 = 13, 2 + 13 = 15, 2 + 17 = 19, or 2 + 19 = 21.

Out of these four possible sums, only 13, 17, and 19 are prime numbers. Therefore, we can say that the sum of x and y may or may not be a prime number, depending on the specific values of x and y.

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The housing supply function is given by h(I,R) = a log1 + bR + cR log1. The housing supply responds to changes in I with a rate of a, and to changes in R with a rate of b + c log1.

Based on the given equation, the housing supply (h) is determined by two variables: I and R. The equation shows that h is a function of R, with a log-linear relationship. The variable I only appears as a constant (a) in the equation, so changes in I do not directly affect the supply of houses.
On the other hand, changes in R (or OR, which is the same variable) do affect the supply of houses. Specifically, an increase in R leads to an increase in the supply of houses. The magnitude of this increase depends on the values of b and c in the equation.
To see this, we can take the partial derivative of h with respect to R:
dh/dR = b + cR/(ln(10))
This equation tells us how much the housing supply changes in response to a change in R. The derivative is positive (i.e. the supply increases) as long as c is positive. The larger c is, the greater the increase in supply for a given increase in R.
Therefore, the correct answer is:
b + cR/(ln(10))

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Work Shown:

If cos(A) = sin(B), then A+B = 90, where A & B are both acute angles in degree form.

In this case, A = 52, so,

A+B = 90

B = 90-A

B = 90-52

B = 38

Telling us that

cos(A) = cos(52) = 0.6157

sin(B) = sin(38) = 0.6157

cos(52) = sin(38)

The correct answer is  you will get approximately £1.30 for one Australian dollar.

To find out how many British pounds you will get for one Australian dollar, we need to determine the exchange rate between the British pound and the Australian dollar.

Given that £1 = US$1.11316 and A$1 = US$0.8558, we can calculate the exchange rate between the British pound and the Australian dollar as follows:

£1 / (US$1.11316) = A$1 / (US$0.8558)

To find the value of £1 in Australian dollars, we can rearrange the equation:

£1 = (A$1 / (US$0.8558)) * (US$1.11316)

Calculating this expression, we get:

£1 ≈ (1 / 0.8558) * 1.11316 ≈ 1.2992

Therefore, you will get approximately £1.30 for one Australian dollar.

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The required specific energy increases with increasing depth and the water surface profile will be rapidly varied.

To determine the type of water surface profile for different depths in the rectangular channel, we can use the concept of specific energy and Manning's equation.

The specific energy (E) is given by the equation:
E = y + (V² / (2g)) + (Sf * x)

Given values:
Width of the rectangular channel (b) = 2.45 m
Discharge (Q) = 2.83 m³/sec
Bed slope (Sf) = 0.003
Manning's roughness factor (n) = 0.015

For each depth, we can calculate the velocity (V) using Manning's equation and then determine the specific energy (E) using the equation mentioned above.

Depth 1 (y₁ = 1.52 m):

First, let's calculate the velocity (V₁) using Manning's equation:\(V_1 = (1/n) * (R_1^{2/3}) * (S_f^{(1/2)})\)

The hydraulic radius (R₁) can be calculated as:
R₁ = (b * y₁) / (b + 2y₁) = (2.45 * 1.52) / (2.45 + 2 * 1.52) ≈ 0.678 m

Substituting the values
\(V_1= (1/0.015) * (0.678 ^{2/3}) * (0.003^{1/2})\) ≈ 2.81 m/s

Now, let's calculate the specific energy (E₁) using the equation:
E₁ = y₁ + (V₁² / (2g)) + (Sf * x)

Substituting the values:
E₁ = 1.52 + (2.976² / (2 * 9.81)) + (0.003 * x)

The above expression shows, the specific energy increases with increasing depth, and the water surface profile will be rapidly varied.

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Given question is incomplete, the complete question is:
2.45-m wide rectangular channel with a discharge of 2.83 m³/sec. has a bed slope of 0.003 and Manning's roughness factor of 0.015. What is the type of water surface profile for depths of 1.52 m, whether it is rapidly varied or not?

Answer:

B. (-3, -17)

Step-by-step explanation:

Answer:

The building is 552 feet tall.

Step-by-step explanation:

1. Draw the figure. Notice that the figure is the shape of a right triangle

To solve for an unknown side in a right triangle, you have to use a trigonometric function.

⭐What is a trigonometric function?

⭐What are the types of trigonometric functions?

To know which trigonometric function we use for this problem, identify which kind of side lengths are given (opposite, adjacent, or hypotenuse):

We are given the side length with a length of 1,300 feet, which is adjacent to the 23 degrees.

We want to find the side length of the building, which is opposite of the 23 degrees.

Therefore, we will use tan(θ).

Substitute the values of the angle measure and the 2 side lengths into the tan(θ) equation. Let x=the height of the building:

\(tan(23) = \frac{x}{1300}\)

Set the equation equal to x:

\(1300tan(23) = x\)

Compute using a scientific calculator:

\(552 = x\)

∴ The building is 552 feet tall!

I have attached the figure to this response.

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Answer:

patient A has the greater weight

The value of the low tide at T is 0.25 foot

The alternating advance and retreat of seawater along a coastline is called a tide. High tide is when water advances to its furthest extent onto the shoreline. Low tide is when it recedes to its furthest extent. Some freshwater rivers and lakes can have tides, too. A high tide that is significantly higher than normal is called a king tide. It often accompanies a new moon and when the moon is closest to the Earth.

Given here the data for low tides at locations P,Q,R as 0.63, -0.94, -1.02

and simple mean of the four locations with  T included x as the low tide for T  is given as

-0.27= (0.63-0.94-1.02+x )/4

x-1.33= -1.08

    x   = 0.25

Hence, The value of the low tide at T is 0.25 foot

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The proportion representing the average number of bass you would expect to live in the pond is 7/200.

The given 3-column table with 4 rows is shown below:Column 1Column 2Column 3Trout3 5Catfish9 9Bass8 6All fish20 20The table represents two samples of fish from a pond. If 400 fish are in the pond, which proportion represents the average number of bass you would expect to live in the pond,To find the proportion representing the average number of bass you would expect to live in the pond, we need to first calculate the total number of Bass in the pond and then find the proportion of the same to the total number of fish in the pond.The table shows that the total number of Bass in the pond = (8+6)= 14.Now, we can find the proportion representing the average number of bass you would expect to live in the pond using the formula shown below:Proportion representing the average number of Bass = Total number of Bass in the pond / Total number of fish in the pond= 14/400=7/200

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The case fatality rate is 400 * 100 / 1500 = 26.67 (option d).

For the first scenario, the data determine that there is a difference in average expenditure between the two countries (option c). The P-value of 0.063 suggests that there is a moderate level of statistical significance, indicating that the difference in average expenditure is likely not due to random chance.

In the second scenario, the fact that the 95% confidence interval for the average number of times participants saw their provider per year (3.3) ranges from 0.1 to 6.1 is of statistical use because it provides a range estimate within which the true population means is likely to fall. This interval helps account for the uncertainty associated with the sample estimate and provides a measure of the precision of the estimate (option a).

For the third scenario, the average operating margin is appropriate to use because it is a measure of central tendency that represents the typical financial performance of rural hospitals. The standard deviation provides information about the variability of the operating margins (option d).

In the fourth scenario, the consideration factor that will ultimately contribute to the spread of Ebola is the population density of the affected area (option b). While factors like the influence of non-indigenous people and climatic conditions may play a role, population density is a key determinant in the transmission and spread of infectious diseases.

For the fifth scenario, the case fatality rate is calculated by dividing the number of deaths from the disease (400) by the total reported cases (1500) and multiplying by 100. Therefore, the correct calculation is 400 * 100 / 1500 = 26.67 (option d). This indicates that the case fatality rate is approximately 26.67%.

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Answer:

$3000

Step-by-step explanation:

I = $1200, P = x, R = 8%, T = 5 years

I = PRT

100

1200 = x X 8 X 5

100

120000 = 40x

x = 120000

40

x = $3000

You deposited the principal amount of $3000 into the account, which is determined by simple interest formula.

Given:

Interest (I) = $1200

Rate (R) = 8% = 0.08 (expressed as a decimal)

Time (T) = 5 years

To find the amount of money deposited into the account, we can use the formula for simple interest:

Simple Interest (I) = Principal (P) × Rate (R) × Time (T)

Let's solve for the Principal (P):

$1200 = P × 0.08 × 5

To find P, divide both sides by (0.08 × 5):

P = $1200 / (0.08 × 5)

P = $1200 / 0.4

P = $3000

You deposited $3000 into the account.

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Answer:

10.48 miles ran in one hour .

Answer:

Step-by-step explanation:

Combined direction is

Combined velocity

The value  −14 w+3 or 3w≥−27 is w ≥ 9W or w < - 7

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

- 14 >w + ?

w < -17

3w>= -27

Consequently, w ≥ 9W or w < - 7

The direction of the inequality sign does not change if both sides of the inequality multiply or divide the same positive value.

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Answer:

The rocket will take 4.5 seconds to reach its maximum height.

Step-by-step explanation:

The height of a missile t seconds after it has been fired is given by h=-4.9*t²+44.1*t

This function is a quadratic function of the form f (x) = a*x² + b*x + c. In this case a=-4.9, b=44.1 and c=0

To calculate how many seconds it will take for the rocket to reach its maximum height, I must calculate the maximum of the function. The maximum of a quadratic function is the vertex of the parabola. The x coordinate of the vertex will be simply: \(x=\frac{-b}{2*a}\). The y coordinate of the vertex corresponds to the function evaluated at that point.

In this case the x coordinate of the vertex corresponds to the t coordinate. In other words, by calculating the x coordinate of the vertex, you are calculating the maximum time t it will take for the rocket to reach its maximum height. So:

\(t=\frac{44.1}{2*(-4.9)}\)

t=4.5

The rocket will take 4.5 seconds to reach its maximum height.

Answer:

Right angle

Step-by-step explanation:

Answer:

I=70*.03*2.5

I=70*.075

I=$5.25 is the interest.

Step-by-step explanation:

If Olive Construction Company won the job, there is a 0.4615 (or 46.15%) probability that Base Construction Company would not have submitted a proposal.

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.

The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

So, the probability that the base construction company did not bid:

\(\begin{aligned}& P(A \mid B)=\frac{P(B \mid A) P(A)}{P(B \mid A) P(A)+P\left(B \mid A^{\prime}\right) P\left(A^{\prime}\right)} \\& P\left(B^{\prime} \mid O\right)=\frac{P\left(O \mid B^{\prime}\right) P\left(B^{\prime}\right)}{P\left(O \mid B^{\prime}\right) P\left(B^{\prime}\right)+P(O \mid B) P(B)} \\& P\left(B^{\prime} \mid O\right)=\frac{(0.5)(0.3)}{(0.5)(0.3)+(0.25)(0.7)} \\& P\left(B^{\prime} \mid O\right)=\frac{0.15}{0.15+0.175} \\& P\left(B^{\prime} \mid O\right)=0.4615\end{aligned}\)

Therefore, if Olive Construction Company won the job, there is a 0.4615 (or 46.15%) probability that Base Construction Company would not have submitted a proposal.

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Answer:

the range is 13

Step-by-step explanation:

Range is the largest number subtreacted from the smallest. In this case, it will be, 79-66=13

Answer:

79 - 66 = 13

Range: 13

Answer:

18

Step-by-step explanation:

50% of 36 = 1/2 of 36 = 18

36 - 18 = 18

Answer: 18

Step-by-step explanation:

To decrease a number by 50%, you can multiply it by 0.5, which is the decimal equivalent of 50%.

So, to find the result of decreasing 36 by 50%, you can multiply 36 by 0.5:

36 x 0.5 = 18

Therefore, when the number 36 is decreased by 50%, the result is 18.

Answer:

C

Step-by-step explanation:

(4x-5) - (3x-10) = ?

(4x-5) - 1 (3x-10) = ? DISTRIBUTE THE INVISIBLE -1 to (3x-10)

Turns into: 4x - 5 - 3x + 10

Which equals: x + 5

Answer:

c

Step-by-step explanation: