The left and right page numbers of an open book are 2 consecutive integers whose sum is 295 what are the page numbers

Answer:

(a)  Choice A  + everywhere in (π/2, 3π/4)

(b)  Choice A  - everywhere in (π/2, 3π/4)

(c) Choice A    - everywhere in (π/2, 3π/4)

Step-by-step explanation:

This can be answered by knowing that the interval (π/2, 3π/4) lies in the second quadrant which lies between π/2 and π

π/2 = 90° and 3π/4 = 135° which lies in the second quadrant

If an angle  θ lies in the first quadrant, we have the following facts:
sin(θ) is positive

cos(θ) is negative

tan(θ) = sin(θ)/cos(θ) is also negative (+ve divided by -ve is negative)

Therefore sin(t) is positive in the interval (π/2, 3π/4).
Correct choice is A

(b)

cos(t) is negative in the interval (π/2, 3π/4).
Choice A

(c) tan(t) is negative in the interval (π/2, 3π/4).
Choice A

At t = π/2 tan(t) is undefined

The fixed costs per unit when 18,349 units are produced is $18.00.

First we need to determine the total costs of production at that level of output.

Given that fixed costs are $18 per unit and variable costs are $10 per unit, the total costs when 15,637 units are produced are:

Fixed costs = $18 * 15,637 = $281,866

Variable costs = $10 * 15,637 = $156,370

Total costs = $281,866 + $156,370 = $438,236

When 18,349 units are produced, the total costs are:

Fixed costs = $18 * 18,349 = $328,882

Variable costs = $10 * 18,349 = $183,490

Total costs = $328,882 + $183,490 = $512,372

Next, we can calculate the fixed costs per unit by dividing the fixed costs by the number of units produced:

Fixed costs per unit = $328,882 / 18,349 = $18.00

Therefore, The fixed costs per unit when 18,349 units are produced is $18.00.

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Answer: Sorry ching cong ling long aoa

Step-by-step explanation:

The turning points of the given equation are:

(3, 27 + 1/45) and (-3, 27 + 1/45), and (4, 27 + 4/243) and (-4, 27 + 4/243).

The turning point of a parabolic equation in the form of y = ax^2 + bx + c can be found by setting the derivative equal to zero and solving for x. The derivative of the given equation y = 4/(4x^2 + 27x + 27) + 27 is:

dy/dx = -16x/(4x^2 + 27x + 27)^2 + 27

Setting the derivative equal to zero, we can solve for x:

-16x/(4x^2 + 27x + 27)^2 + 27 = 0

-16x = (4x^2 + 27x + 27)^2 - 27 * (4x^2 + 27x + 27)

-16x = 16x^4 + 216x^3 + 1044x^2 + 729x + 729 - 108x^2 - 729x - 729

8x^4 - 288x^3 - 336x^2 = 0

x = ±3, ±4

For these values of x, we can find the corresponding y-values using the original equation:

y = 4/(4x^2 + 27x + 27) + 27

At x = 3, y = 4/(4 * 9 + 27 * 3 + 27) + 27 = 4/180 + 27 = 27 + 1/45

At x = -3, y = 4/(4 * 9 + 27 * -3 + 27) + 27 = 4/180 + 27 = 27 + 1/45

At x = 4, y = 4/(4 * 16 + 27 * 4 + 27) + 27 = 4/243 + 27 = 27 + 4/243

At x = -4, y = 4/(4 * 16 + 27 * -4 + 27) + 27 = 4/243 + 27 = 27 + 4/243

So, the turning points of the given equation are:

(3, 27 + 1/45) and (-3, 27 + 1/45), and (4, 27 + 4/243) and (-4, 27 + 4/243).

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None of them is correct and the value of f(5/2) is 1.6 to 1 decimal place

From the question, we have the following parameters that can be used in our computation:

f(x) = √x

Substitute 5/2 for x

So, we have

f(5/2) = √5/2

When the above is compared to their functions, we have no equivalent expression

This means that none of the notations is correct

Next. we have

f(5/2) = 1.6

Hence, the value is 1.6

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Answer:

60 years old

Step-by-step explanation:

-First multiply 24 and 5.   →    24×5=120

-Then divide it by 2.         →.   120÷2=60

The conversion of the units gives:

NUMBER 1: 75 mi/hr = 36.957 m/s

NUMBER 2: 5d = 432000 seconds

Unit conversion is the process of converting a quantity expressed in one unit of measurement to another unit of measurement. For example, converting a distance measured in meters to feet, or converting a weight measured in kilograms to pounds.

NUMBER 1

1 mile = 5820 feet, 1 feet = 0.3048 meter.

1 hour = 60 minutes = 60 * 60 seconds = 3600 seconds

To convert 75 mi/hr to m/s, we have:
75 mi/hr = (75 * 5820 * 0.3048)m / (60 * 60)s = 36.957 m/s

NUMBER 2

Since we have 24 hours in a day, 60 minutes in 1 hour and 60 seconds in a minute. Thus, 5 days can be written as:

5d = 5 * 24 * 60 * 60 = 432000 seconds

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Answer:

t=2

Step-by-step explanation:

We have the equation:

[tex]t+\frac{1}{4} = \frac{27}{12}[/tex]

And the main thing here is if we do one thing to an equation we do it to both sides. So if we subtract 1/4 from one side, we do it to both sides. If we subtract 1/4 from the left side it cancels out with the 1/4 leaving us just with the "t" unknown, giving us a solution:

[tex]t=\frac{27}{12} - \frac{1}{4}[/tex]

Now from here we can just multiply the 1/4 by 3/3 so we get the same denominator and combine them into one fraction:

[tex]t=\frac{27}{12} - \frac{3}{12}[/tex]

Now subtract the numerators:

[tex]t=\frac{24}{12}[/tex]

Simplify:

t=2

Mr. Doyle washed most of the laundry. And the amount of the laundry that still needs to be washed will be 1/2.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Mr. Doyle washed 2/5 of his laundry. His son washed 1/4 of it. The laundry done by the son is given as,

⇒ (1/4) x (2/5)

⇒ 1 / 10

The amount of the laundry that still needs to be washed is given as,

⇒ 1 - 1/10 - 2/5

⇒ 1 - 1/10 - 4/10

⇒ (10 - 1 - 4) / 10

⇒ 5 / 10

⇒ 1/2

Mr. Doyle washed most of the laundry. And the amount of the laundry that still needs to be washed will be 1/2.

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The number of tennis ball mat have is 33.

What is an equation?

a formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.

We are given that zak has 18 tennis ball and this is 3 times as many as joe have

That means joe has 18/3 = 6 tennis balls

Matt has 9 more tennis ball that matt and joe combined

The combined tennis ball of matt and joe is 18 + 6 =24

Now we add 9 to it so that we have the number of tennis ball matt has

Which is 24+ 9 = 33

Hence matt has 33 balls

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The cubic yards of concrete needed to fill the form is 5, 746.2 cubic yards

The formula for calculating the volume of a cylinder is expressed with the formula.

V = πr²h

Given that the parameter are;

Note that;

Radius = diameter/2

Radius = 20/2 = 10 yards

From the information, let's substitute the values, we get;

Volume = 3.1 4 × 10² × 18.3

find the square

Volume = 3.1 4× 100 × 18.3

multiply the values

Volume = 5, 746.2 cubic yards

Hence, the value is 5, 746.2 cubic yards

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Answer:

17/30

Step-by-step explanation:

Number of students = 30

Number of girls and A students = 13+4 = 17

Probability of a student being chosen at random being either a girl or an A student = Total Number of girls and A students/Total No of students = 17/30

Probably of a student chosen at random being either a girl or an A student would be 17/30

The probability of choosing a girl or an A student is 17/30 or 0.567.

There are a couple of ways to approach this problem, but one common method is to use the formula:

                  P(girl or A) = P(girl) + P(A) - P(girl and A)

where P(girl) is the probability of choosing a girl, P(A) is the probability of choosing an A student, and P(girl and A) is the probability of choosing a student who is both a girl and an A student.

To calculate each of these probabilities, we first need to find the total number of girls and A students in the class:

                 Total number of girls: 13

                 Total number of A students: 4 boys + 5 girls = 9

Now we can calculate each probability:

                  P(girl) = number of girls / total number of students = 13 / 30

                  P(A) = number of A students / total number of students = 9 / 30

                  P(girl and A) = number of girls who made an A / total number of students = 5 / 30

Plugging in the values, we get:

                  P(girl or A) = P(girl) + P(A) - P(girl and A)

                  = 13/30 + 9/30 - 5/30

                  = 17/30

Therefore, the probability of choosing a girl or an A student at random from the class is 17/30, or about 0.567.

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Answer:

Step-by-step explanation:

56.6

Answer:t

Step-by-step explanation:

R5

Answer: To find the time it takes Victoria to make one necklace, we can divide the total time by the number of necklaces she can make in that time. If it takes her 4 days to make 8 necklaces, it takes her 4/8 = 0.5 days to make one necklace.

Next, we can convert 0.5 days into hours to find the time it takes her to make one necklace. Since there are 24 hours in a day, it takes her 0.5 * 24 = 12 hours to make one necklace.

So, it takes Victoria 12 hours to make one necklace.

Step-by-step explanation:

Answer:

JCI is the angle :p

Step-by-step explanation:

A: The expression to represent the average change in temperature is -11/10 °F per minute.

B: The average change in temperature is -1.1 °F per minute,

C:  For the second attempt average change is -0.1 per minute.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

Expression: (Math Operator, Number/Variable, Math Operator)

Given temp. at beginning = 23°F

He monitors the temperature of the solution every minute for 10 minutes, and

He records the change in temperature from his previous reading. His data show a decrease of 2 degrees Fahrenheit four times, a decrease of 3 degrees Fahrenheit three times, no temperature change two times, and an increase of 6 degrees Fahrenheit

A) The expression to represent the average change in temperature each minute is given as follows:

The observations are given as follows:

-2, -2, -2, -2, -3, -3, -3, 0, 0, 6.

Mean = (4 x (-2) + 3 x (-3) + 0(2) + 6)/10.

Mean = -11/10

B) The average change in temperature for the first trial is given as follows:

The observations are given as follows:

-2, -2, -2, -2, -3, -3, -3, 0, 0, 6.

The average change  = -11/10

The average change  =  -1.1ºF per minute.

C) In the second attempt of the experiment, the average change in temperature per minute,

A data set's mean is computed as the total number of observations divided by the total number of observations in the data set.

There are 10 observations in total in this problem.

The observations are given as follows:

-2, -2, -2, -2, -3, -3, -3, 0, 0, 6.

Hence, the mean is calculated as follows:

Mean = (4 x (-2) + 3 x (-3) + 6)/10

Mean = -1.1ºF per minute

1ºF greater than this for the second trial is given as follows:

-1.1 + 1 = -0.1 ºF per minute.

Hence the average change in temperature is -1.1 °F per minute,

C: For the second attempt average change is -0.1 per minute.

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The question is incomplete. The complete question is 'Edgar measures the temperature of a solution at the beginning of an experiment to be 23 degrees Fahrenheit . He monitors the temperature of the solution every minute for 10 minutes. He records the change in temperature from his previous reading. His data show a decrease of 2 degrees Fahrenheit four times, a decrease of 3 degrees Fahrenheit three times, no temperature change two times, and an increase of 6 degrees Fahrenheit once. (a) Write an expression to represent the average change in temperature each minute. (b) Using your expression from Part (a), determine the average change in temperature for the first trial(c) Edgar repeats the experiment and finds the average change in temperature each minute is 1 degrees Fahrenheit greater in the second trial than in the first trial. What is the average change in temperature each minute in the second trial of the experiment?'

The number of euros with Richard in the beginning is 2.5 euros.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the money with Richard at the beginning be $x.

Richard gambled and doubled his money.

Now, the money is 2x.

He gave one euro to his friend and gambled again.

Here, 2x-1

This time he tripled his money.

So, the money is 3(2x-1)

After this he bought a hamburger for two euro.

Now, 6x-3-2

6x-5

Now he had four times the euros in his wallet that he gambled the first time.

Here, 6x-5=4x

6x-4x=5

2x=5

x=2.5

Therefore, the number of euros with Richard in the beginning is 2.5 euros.

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Answer:

Step-by-step explanation:

The number of ways to choose 3 students out of 10 to come in first, second, and third place in a spelling contest, with no ties, is calculated using the combination formula. The combination formula is:

C(n, r) = n! / (r! (n-r)!)

Where n is the total number of items, and r is the number of items to choose. In this case, n = 10 and r = 3.

So, the number of ways to choose 3 students out of 10 is:

C(10, 3) = 10! / (3! (10-3)!) = 10! / (3! 7!) = 10 x 9 x 8 / (3 x 2 x 1) = 120.

Therefore, there are 120 different ways to choose 3 students out of 10 to come in first, second, and third place in a spelling contest, with no ties.

We compute the functions as follows

1. g(f(0)) = -3

2. f(f(2)) = 5

3. f(g(x)) = 6x - 1

4. g(h(x)) = 3x² + 3

5. g(f(x)) = 6x - 3

6.  f(f(x)) = 4x - 3

7. g(g(x)) = 9x

A function is a  mathematical equation that shows the relationship between two variables.

Given that

Let's compute the given functions.

To compute the function g(f(0)), we first compute g(f(x)).

So, g(f(x)) = 3f(x)

= 3(2x - 1)

= 6x - 3

So, g(f(0)) = 6(0) - 3

= 0 - 3

= -3

So, g(f(0)) = -3

To compute the function f(f(2)), we first compute f(f(x)).

So, f(f(x)) = 2(f(x)) - 1

= 2(2x - 1) - 1

= 4x - 2 - 1

= 4x - 3

So, f(f(2)) = 4(2) - 3

= 8 - 3

= 5

So, f(f(2)) = 5

To compute the function f(g(x)), since we have

So, f(g(x)) = 2(g(x)) - 1

= 2(3x) - 1

= 6x - 1

So, f(g(x)) = 6x - 1

To compute the function g(h(x)), Since

So, g(h(x)) = 3(h(x))

= 3(x² + 1)

= 3x² + 3

So, g(h(x)) = 3x² + 3

To compute the function g(f(x)), Since

So, g(f(x)) = 3(f(x))

= 3(2x - 1)

= 6x - 3

So, g(f(x)) = 6x - 3

To compute the function f(f(x)), Since f(x) = 2x - 1,

So, f(f(x)) = 2(f(x)) - 1

= 2(2x - 1) - 1

= 4x - 2 - 1

= 4x - 3

So, f(f(x)) = 4x - 3

To compute the function g(g(x)), Since g(x) = 3x

So, g(g(x)) = 3(g(x))

= 3(3x)

= 9x

So, g(g(x)) = 9x

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The multiplication inequality that shows the number of bags (b) the wheelbarrow can carry is 20b ≤ 300.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

The wheelbarrow can carry upto = 300 lbs

The bag of soil weighs = 20 lbs.

Now,

Number of bags of soil = b

We can write an inequality for the number of bags of soil the wheelbarrow can carry.

20b ≤ 300

Thus,

20b ≤ 300 is the multiplication inequality to show the number of bags (b) the wheelbarrow can carry.

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The alternative hypothesis H1 and the null hypothesis H0. H0: H1: the mean systolic blood pressure of senior ladies is 120.

An declaration that a certain group of data has no significance level is known as a null. Hypotheses are analyzed for viability using sample data. known as "zero" at times is represented by that of the letter H0. The premise used by researchers is that all variables have a relationship. The alternate hypothesis, on the other extreme, asserts that there's no such link. The h0 is an important component of research, despite embodies insignificance.

given

a) H1. H0: H1: as μο = 120

μ >120

b) one sample t - test

c) t = 2.213

d) = no

The alternative hypothesis H1 and the null hypothesis H0. H0: H1: the mean systolic blood pressure of senior ladies is 120.

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The demand equation, by assuming it is linear. The equation expresses price p in terms of quantity q, q  =  -10000/3p + 52000

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

An album is downloaded 12000 times per week when its price is $12

It is downloaded 22000 times per week when the price drops to $9

The demand equation = ?

Suppose, price is expressed as p and quantity as q

Formula of linear relationship,

y = mx + c

So,

q  = mp + c

when,  p = 12 then q = 12000

12000 = 12m + c  _________(i)

when, p = 9 then q = 22000

22000 = 9m + c  _________ (ii)

Now by using elimination method solve equation i & ii

12m + c    =   12000

- 9m + (-c) =  -22000

3m  = -10000

m  = -10000/3

12m + c = 12000

c  = 12000 - 12 x (-10000/3)

c  =  12000 + 40000

c  =   52000

q  = -10000/3p + 52000

The equation is q  =  -10000/3p + 52000

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[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=1.5\\ V=11.25\pi \end{cases}\implies 11.25\pi =\pi (1.5)^2 h \\\\\\ \cfrac{11.25\pi }{\pi (1.5)^2}=h\implies 5=h[/tex]

The average  largest five-digit number which leaves remainders of 3, 6, 18 and 39 when divided by 9, 12, 24 and 45 respectively is 99741. This can be found by starting at the highest possible number (99999) and subtracting until the remainders of each division are obtained.

To find the largest five-digit number which leaves remainders of 3, 6, 18 and 39 when divided by 9, 12, 24 and 45 respectively, begin by setting the highest possible number (99999). Then, subtract until the remainders of each division become 3, 6, 18 and 39 respectively. This can be done by subtracting 3 from the initial number and then 6, 18, and 39 in order to get the correct remainders. This process can be repeated until the number reaches 99741, which is the largest five-digit number that leaves the given remainders. This number can also be found by using the formula (9x + 3)(12x + 6)(24x + 18)(45x + 39). By plugging in x = 999, the answer of 99741 is obtained.

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Answer:

44117/245 or 180 17/245

Answer:

1700/49×5 + 33/5

173.45 + 6.6

180

The statement about the standard deviation that is false is -

a. The standard deviation can never be 0.

What is standard deviation?

The standard deviation is a measure of variance from the mean that includes spread, dispersion, and spread. The standard deviation displays a "typical" deviation from the mean. It is a well-liked measure of variability because it retains the original units of measurement from the data set.

When all of the observations are identical, the standard deviation can be zero

(a). This is due to the fact that if all of the observations are identical, their mean will be the observation itself, resulting in a standard deviation of 0.

As a result, the assertion is untrue.

(b) The deviations of each observation are indeed calculated from the average, which is the measure of the centre.

As a result, the assertion is accurate.

(c) The standard deviation is given by:

[tex]\frac{1}{n}E(X_i-X')^2[/tex]

So, as the individual data points or data observations get farther away from the mean, the term [tex](X_i-X')^2[/tex]keeps becoming larger which causes the overall value of the standard deviation to be large.

Therefore, the given statement is true.

(d)

The standard deviation measures the spread of the data around the mean.

This is the basic definition of the standard deviation itself.

Therefore, the given statement is true.

(e)

When an outlier is taken into account, the difference between the observation and mean value will be greater, and the square term will intensify the term's value even more. The standard deviation will rise dramatically as a result.

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Complete question:

The standard deviation is a useful measure of a characteristic of a distribution of data values. Which of the following statements about the standard deviation is false?

a. The standard deviation can never be 0.

b. The standard deviation is appropriate as a measure of spread when the mean is chosen as the measure of center.

c. As the data values get farther away from the mean, the standard deviation becomes larger.

d. The standard deviation measures the spread of the data around the mean.

e. The standard deviation can be made very large by an outlier.

Answer:

Step-by-step explanation:

Let x be the cost of the bench. Then the cost of the garden table is 3x.

The combined cost of the bench and the table is 1000, so x + 3x = 1000.

Combining like terms, we get 4x = 1000.

Dividing both sides by 4, we get x = 250.

The cost of the bench is 250.

Answer:

250.

Step-by-step explanation:

Let's call the cost of the bench "x".

The cost of the garden table is then 3x.

So the combined cost of both is x + 3x = 4x = 1000

So x = 250, and the cost of the bench is 250.