A rectangular water tank can hold 142.5 cubic meters of water its base is 9.5 meters by 5 meters what is the height ​

The postulate that justifies the statement below the given diagram is the: angle addition postulate.

According to the angle addition postulate, the sum of the measures of two angles that make up a bigger equals the measure of the bigger angle.

Two small angles, MRO and MRS add up to give the bigger angle, SRO, which contains both angles.

Therefore, the postulate that justifies, m∠MRO + ∠MRS = m∠SRO, is: angle addition postulate.

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The ordered pair is (3, 1) which is the intersecting point of these two equations.

Graphical solutions of a system of equations are a way of finding the intersection points of all the equations given.

A system with two or more than two equations has a solution only when they have a common intersection point.

Given, are two equations y = -(2/3)x + 3 and y = 2x - 5.

Now the solution to this system is the common intersecting point of these equations.

With the help of graphing we conclude that the intersecting point is (3, 1) and so is the solution.

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Answer:

49 - 49 = 0

Step-by-step explanation:

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The required answers are:

a. Population mentioned here is US adults and the sample is 1000 US adults.

b. The percentage provided in the question is a descriptive statistic.

a. In this study:

- Population: The population would be all U.S. adults.

- Sample: The sample would be the 1,000 U.S. adults who participated in the survey conducted by Rasmussen Reports.

b. The percentage provided, which states that 50% of respondents favored a plan to break up the 12 megabanks, is a descriptive statistic. Descriptive statistics summarize and describe the characteristics or responses of a sample or population. In this case, it describes the proportion of respondents who favored the plan within the surveyed sample of 1,000 U.S. adults. It provides information about the sample itself rather than making inferences or generalizations about the larger population of all U.S. adults.

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Answer

6 inches

Step-by-step explanation:

Answer:

44.8 inches

Step-by-step explanation:

5.6x8

need to write something to let me answer

Answer:

44.8 inches

Step-by-step explanation:

Hope this helps

The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.

Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.

However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.

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Answer:

Step-by-step explanation:          

\(49x^2-42x+(\frac{42}{2})^2=49x^2-42x+(\frac{42}{2} )^2\)    (completing the square)  

  \(49x^2-42x+441=49x^2-42x+21^2\)

                              \(=(7x-21)^2\)

So    \(49x^2-42x+441=(7x-21)^2\)

Solution: The required constant is 441.

Remember:    Completing the square IN \(ax^2+bx+c\) involves adding  \((\frac{b}{2} )^2\)     to both sides of the equation. THIS KEEPS IT BALANCED AND ALLOWS US TO MAKE A PERFECT SQUARE.    

Answer:

x=2

Explanation:

Given the equation:

To solve for x, begin by writing 27 as a power of 3.

Next, since both sides of the equation have the same base, 3, it follows from the law of indices that:

We then solve the resulting equation for x.

The value of x in the equation is 2.

The amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.

As per the given problem:

Amount deposited = $60.00

Interest rate per year = 9%

The formula for calculating the interest is given by:

Interest = (Principal × Rate × Time)/100

Where Principal is the initial amount invested or deposited

Rate is the percentage of interest that you earn per annum

Time is the duration for which you want to calculate the interest

Putting the values in the above formula, we get:

Interest = (60 × 9 × 2)/100= (108 × 1)/1= $108

So, the amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.

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Answer:

In explanation below.

Step-by-step explanation:

Presumably, the proof you have in mind is to use a=b=2–√a=b=2 if 2–√2√22 is rational, and otherwise use a=2–√2√a=22 and b=2–√b=2. The non-constructivity here is that, unless you know some deeper number theory than just irrationality of 2–√2, you won't know which of the two cases in the proof actually occurs, so you won't be able to give aa explicitly, say by writing a decimal approximation.

The inverse of f(x) is found by solving the equation f(x)g(x) = 1, where g(x) is the inverse of f(x). The inverse of g(x) is (1/2)x + (1/2)mod(x² - 2), and the inverse of f(x) is (1/2)x + (1/2)mod(x² - 2).

Given function: f(x)= [2x+6] in Q[x]/(x² - 2)We are to find the inverse of f(x)

To find the inverse of f(x) we need to solve the equationf(x)g(x) = 1 where g(x) is the inverse of f(x)We are given the function in a quotient ring Q[x]/(x² - 2)i.e f(x) is an equivalence class of functions.

The given function f(x) = [2x + 6] can be represented by any of the infinitely many polynomials that belong to the same equivalence class. We can therefore select the polynomial that best suits the situation.The polynomial that will be used is: f(x) = 2x + 6The first step is to find the inverse of f(x) in Z[x]i.e g(x) such that f(x)g(x) = 1This means that we have to find g(x) such that (2x + 6)g(x) = 1We proceed to solve for g(x)(2x + 6)g(x) = 1

=> g(x) = 1/(2x + 6)Multiply both numerator and denominator by (2x - 6) to get the denominator in the form

(2x + 6)(2x - 6)g(x)

= (2x - 6)/(4x² - 36)

Next step is to find the inverse of the class of the polynomial g(x) in the ring Q[x]/(x² - 2)We express g(x) as a polynomial in the formg(x) = ax + b where a and b are rational numbers

g(x)g(x')

= 1mod(x² - 2)

==> (ax + b)(a'x + b')

= 1mod(x² - 2)

Expanding the left side givesa.

a'x² + (ab' + a'b)x + bb'

= 1mod(x² - 2)

Therefore,a.a' = 0....(1)ab' + a'b = 0....(2)bb' = 1....(3)From equation (1) either a = 0 or a' = 0Since a and a' are rational numbers, we can take a' to be non-zero, hence a = 0From equation (2) a'b = -ab' and a and b' are not both zero, hence b = 0

Therefore, from equation (3) we have b' = 1/b = 1/2.The inverse of g(x) isg'(x) = (1/2)x + (1/2)The inverse of f(x) is[g'(x)]mod(x² - 2) = (1/2)x + (1/2)mod(x² - 2)The inverse of f(x) is (1/2)x + (1/2)mod(x² - 2).Therefore, the inverse of f(x) is (1/2)x + (1/2)mod(x² - 2).

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The value of the test statistic is approximately 2.54.

To find the value of the test statistic, we can use the formula for calculating the test statistic for a single-sample hypothesis test for the population mean. The formula is:

t = (\(\bar x\) - μ) / (s / √n)

Where:

\(\bar x\) is the sample mean,

μ is the population mean,

s is the sample standard deviation,

n is the sample size.

Given information:

Sample mean (\(\bar x\)) = 5.8 ppm

Population mean (μ) = 5.5 ppm

Sample variance (σ^2) = 0.36 ppm^2

Sample size (n) = 26

To calculate the sample standard deviation (s), we take the square root of the sample variance:

s = √(σ^2)

s = √(0.36)

s = 0.6

Now we can calculate the test statistic (t):

t = (5.8 - 5.5) / (0.6 / √26)

t = 0.3 / (0.6 / √26)

t = 0.3 / (0.6 / 5.099)

t = 0.3 / 0.118

t ≈ 2.54 (rounded to two decimal places)

Therefore, the value of the test statistic is approximately 2.54.

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Answer:

height = 18m

Step-by-step explanation:

cone volume = 3183.96 m³

1/3 πr²h = 3183.96

1/3×3.14×13×13×h = 3183.96

h = 3183.96×3/13×13×3.14

h = 9551.88/530.66

h = 18

Answer:

Step-by-step explanation:

Question #1

- Since it is an isosceles triangle, this means that the base angles have the same value.

- The angle sum is 180°

Solve

2x+35+35=180

2x+70=180

2x=110

x=55

Question #2

- Since it is given there is a right angle, this means the angle is 90°

- The angle sum is 180°

Solve

5x+5x+90=180

10x+90=180

10x=90

x=9

It asked to find m∠A, which is 5x. So 5x=5(9)=45°

Hope this helps!! :)

Please let me know if you have any questions

The equivalent value of the function f(x) = –2x^2 – 3x + 5 if x = -3 is -4

We are to evaluate the function f(x) = –2x2 – 3x + 5 for the input value –3.

Given the function:

For x = -3, we will have to substitute x = -3 into the expression to have:

f(-3) = –2(-3)^2 – 3(-3) + 5

f(-3) = -2(9) + 9 + 5

f(-3) = -18 + 14

f(-3) = -4

Hence the equivalent value of the function f(x) = –2x^2 – 3x + 5 if x = -3 is -4

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There are 2415 females in the country.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

There are 3450 people in a country.

It was recently estimated that females outnumber males by seven to three.

That means,

70% are the females.

So, the number of females,

= 70% of, 3450

= 70 x 3450 / 100

= 2415.

Therefore, 2415 females are in the country.

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Answer:

it could be 20 and 20 or 0 and 40

the monthly payment of $ 668.75 will be paid for the loan for the car.

Total payment for the car = $ 27,635

Money for down payment = $ 5000

Interest for 3 year loan = 6.36 %

Amount on which this interest will be applied = $ 27,635 - $ 5000

Amount = $ 22,635

Interest = 6.36 % of $ 22,635

Interest = 6.36 / 100 × $ 22,635

Interest = 1440 (approx.)

Total amount of loan = $ 22,635 + $ 1440

= $ 24075

Number of months = 3 × 12 = 36 months

So, monthly payment = $ 24075 / 36
= $ 668.75

Therefore, we get that, the monthly payment of $ 668.75 will be paid for the loan for the car.

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Answer: 112.5

Step-by-step explanation: A car can travel 45 miles on 2 gallons of gas. How far can it travel on 1 gallon, 22.5 miles and we need fie gallons so multiply by five so the answer is 112.5

Answer:

1,300 children

Step-by-step explanation:

40%=0.4

so

520÷0.4=1300

The correct null hypothesis for the given problem is \(H_0\) : μ = 8000.

To obtain the correct null hypothesis for the given problem, follow the given below steps:

Firstly, recall that the null hypothesis ( \(H_0\) ) is a statistical assumption used in hypothesis testing.

It is a statement that is assumed to be true until it is proven false by the alternative hypothesis.

Secondly, recall that the null hypothesis is the opposite of the alternative hypothesis (\(H_1\)), which is the statement that researchers want to prove to be true.

Thirdly, recall that the null hypothesis for a population mean is as follows:

 \(H_0\) : μ = \(\mu_o\)

where μ represents the population mean and

\(\mu_o\) represents the hypothesized population mean.

Therefore, for the given problem, the correct null hypothesis is:

 \(H_0\) : μ = 8000.

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Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.

Given information and corresponding atomic propositions:

We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:

r: Rabbits have been seen in the area.

b: Berries are ripe along the path.

w: Walking on the path is safe.

Now, let us formalize each of the given statements in terms of these atomic propositions:

a) Berries are ripe along the path, but rabbits have not been seen in the area.

b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.

c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.

d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.

e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.

The formalizations in terms of atomic propositions are:

a) b ∧ ¬r.b) ¬r ∧ w ∧

b.c) (b → w) ∧ (¬r → w).

d) ¬w ∧ ¬r ∧

b.e) (¬r ∧ ¬b) → w.b ∧

Berries are ripe along the path, but rabbits have not been seen in the area.

This is formalized by using the ∧(logical and) operator.

(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

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As per the given ratio, the amount of paint is 8 ounces needed is and the amount of sugar it will hold 120 ounces.

In math then term ratio is defined as an ordered pair of numbers a and b, written a / b where b does not equal 0

Here we have given that it takes 2 ounces of paint to completely cover all 6 sides of a rectangular prism box which holds 15 cups of sugar.

And then here we have know that they double the dimensions of the box.

Let us consider that the dimension be a.

And as we all know that double the dimensions of the box then dimensions are 2a

Then the ratio of paint and the area of the box remains constant and it can be calculated as,

=> paint / area = 2/x

=> 2/x = 6a² / 6(2a)²

When we simplify this one then we get then x is 8 ounces.

Here we know that the ratio of sugar and the volume of the box remains constant.

Then the sugar volume is calculated as,

=> 15 / X = a³ / (2a)³

When we simplify this then we get the value of x is 120

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Answer:

No comprendo espanol. Yo se un muy poco.

Step-by-step explanation:

Let p be a prime number and q be an irreducible polynomial in Z_p[x] of degree n. The field Z_p[x]/(q) contains exactly p^n elements.

To prove that Z_p[x]/(q) contains p^n elements, we need to show that every element in the field can be represented by a unique polynomial of degree less than n. Since q is irreducible, it cannot be factored further into lower-degree polynomials. Therefore, any polynomial in Z_p[x]/(q) can be represented as a polynomial of degree less than n.

To construct an element in Z_p[x]/(q), we can take any polynomial f(x) in Z_p[x] and consider its equivalence class [f(x)] in the quotient ring Z_p[x]/(q). This equivalence class represents all polynomials that are congruent to f(x) modulo q. Since the degree of f(x) is less than n, it can have at most n coefficients in Z_p.

Each coefficient in Z_p has p possible values (0 to p-1). Therefore, there are p^n possible combinations of coefficients for polynomials of degree less than n. Hence, Z_p[x]/(q) contains exactly p^n elements.

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Sketch is attached in the graphical form to illustrate the linear relationship with slope of 3 that is not the proportional relationship.

A statistical word is used to express the straight-line relationship between two variables which is a linear relationship (or linear association). A straight line connecting the variable and the constant can be used to represent a linear relationship graphically, or the dependent variable can be determined by multiplying the independent variable by the slope coefficient and a constant.

A linear non - proportional relationship could be written with as a slope - intercept with a non - zero intercept value. One such relationship with a slope of 3 can be expressed thus :

   y = 3x + 5

Here, the linear relationship, has a slope value of 3 and an intercept value of 5. The function cannot be proportional due to the presence of a non-zero constant

Hence, Using a graph plotter, the sketch of the given linear relationship is attached.

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Paolo earns a full-time salary. He earns the same whether he works more or less than a full week.

This can be deduced from the fact that his gross pay was the same at the end of the month as it was in mid-June, despite working fewer hours in the second half of the month.

When an employee receives a salary, they are paid a set amount of money per pay period, typically bi-weekly or monthly, regardless of the number of hours they work during that period.

This means that the employee's pay does not change based on the number of hours worked or the amount of work completed, as long as they remain employed by the company. In Paolo's case, he received $1,923 twice in June, despite working 100 hours during the first half of the month and 70 hours during the second half of the month. This indicates that he is paid a salary and not an hourly wage.

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The subdivider has to get the deposit back to Max within 30 days.

A deposit is an amount of money paid to a vendor or a seller to secure goods or services. A deposit is a partial payment made to a business in advance of a larger purchase or delivery.

A subdivision is a housing development built on a portion of land that has been divided into multiple lots. The subdivider divides a large piece of land into smaller plots and sells each lot to individuals who are looking to build their own homes, thus creating a subdivision.

Max can get his deposit back within 30 days. This is because the subdivider has to refund the deposit within 30 days if the buyer cancels the reservation of the plot due to any reason, including the delay that the subdivider has experienced.

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Answer:

Hi! You already have the percentage of the nickel to the nearest hundredth, you just need to move to the left once to get to the tenth. That would mean the answer is 8.3%! Easy as that.

Answer:

8.3%

I just took the test