imagine i flip 100 coins in a sequence, and you need to guess the sequence. you are allowed to ask one yes/no question. what do you ask to maximize the probability of guessing the sequence?

The solution of the equation is as follows;

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

The equation can be solved as follows:

x - 10 = √9x

subtract x from both sides of the equation

x - x - 10  = √9x - x

-10 =  √9 x - x

-10 = 3x - x

-10 = 2x

divide both sides by 2

x = -10 / 2

x = -5

Therefore,

x = -5

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Therefore , the solution of the given problem of  expression comes out to be 15 years: 75 years

In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.

Here,

an expression to represent a dog's age in dog years for a dog that is at least two years old in order to respond to the inquiry above. if x represents human age

then the dog is 2 years older

X = human years

x + 2 =  is for the dog age

For 75 years

15 years: 75 years

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The percentage of oil that has leaked​ from the tank is 14.29%.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100.

Given that,

The capacity of the tank = 49 litres.

Total litres of oil leaked = 7 litres.

Mathematically, the percentage for the amount of oil leakage in this tank is given by this formula:

Percentage = oil leakage/tank capacity *100

Substituting the given parameters into the formula, we have:

Percentage = 7/49 *100 =  14.29%

Thus, The percentage of oil that has leaked​ from the tank is 14.29%.

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So, on solving the provided question, we can say that, here  by differential equations So, 2(400)(25) = 2(500)(dy/dt) => [tex]dy/dt = 20 ft/sec[/tex]

Sequences in which the difference between succeeding terms is constant are known as arithmetic progressions. For instance, an arithmetic progression with a tolerance of 2 is the sequence 5, 7, 9, 11, 13, and so on. An arithmetic progression (A.P.) is a progression where the tolerance between two succeeding numbers is always the same.

Let x be the girl's distance from the kite at time t and y be the length of the string at that same moment.

The right triangle at time t has a hypotenuse of length y, a hypotenuse of length 300, and a hypotenuse of length x.

[tex]dx/dt = 25[/tex]

By the Pythagorean Theorem,

[tex]x2 + 3002 = y2[/tex]

[tex]2x(dx/dt) = 2y(dy/dt)[/tex]

Since [tex]x2 + 3002 = y2 and y = 500, x = 400[/tex]

So, 2(400)(25) = 2(500)(dy/dt)

[tex]dy/dt = 20 ft/sec[/tex]

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Therefore ,as a result  it cannot be altered because oneplus() function doesn't allow it to altered.

Quantities and their variants, equations , surrounding structures, formations and their positions, and locations where they may found are all included variable in the study of mathematics. The link between a collection of inputs, each of which has a corresponding output, is referred to as a "function." A function is a dynamic relationship between inputs and outputs in which each input produces a single, unique result. Each function has a designated area and only needs a tiny area, or scope.

Here,

Given :

oneplus() function

The function receives as an argument that twoplus() function is better than oneplus() .

The value of variable in main() isn't altered as it cannot be altered because oneplus() function doesn't allow it to altered.

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1.81 value of z should we use when making a 93% confidence interval for p. This can be solved using the concept of z-table.

The difference from the mean is expressed as a z-score in standard deviation units. It is not clear either one agree or disagree with the null hypothesis. The likelihood that a point as severe as their statistic would be seen that under null hypothesis is known as the p-value.

A z-table, sometimes referred to as the standard normal table, gives the area beneath the curve to the left of a z-score. This region indicates the likelihood that z-values will fall inside a particular area of the standard normal distribution.

At 93% confidence level the z is:

α = 1 - 93%

α = 1 - 0.93

α = 0.07

Now, α /2 = 0.035

Next, Z(α /2) = Z(0.035) = 1.81 ( Using z table )

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Therefore , the solution of the given problem of equation comes out to be the correct equation can be = > y/x =57.

A mathematical equation resembles a formula connecting two assertions when the equals letter (=) is employed to denote equality. An equation in algebra is a statement of fact that demonstrates the equality of numerous mathematical variables. For example, the equation obd + 6 = 12 has an equal sign separating the numbers doc d + 6 and 12. You can mathematically expression how many syllables correspond per each side of every letter. Often, a symbol's message is its exact opposite.

Here,

Given :

Equation : y =57x for the distance travelled by  alisha.

Thus,

To find the equation is correct or not.

By comparing it with distance/time = speed equation we get to know

that the equation represented by alisha is wrong.

The correct equation can be => y/x =57 .

Therefore , the solution of the given problem of equation comes out to be the correct equation can be = > y/x =57.

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Answer: 18

unclear but appears its 18.

Step-by-step explanation:

Because x is 7; 4x+8/2 = 36.

but its not clear what is being halved: 8 or (4x+8)? so answer could be 32 as well.

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

[tex]\stackrel{f(x)}{y}~~ = ~~10(\sqrt[7]{x}+9)\hspace{5em}\stackrel{\textit{quick switcheroo}}{x~~ = ~~10(\sqrt[7]{y}+9)} \\\\\\ \cfrac{x}{10}=\sqrt[7]{y}+9\implies \cfrac{x}{10}-9=\sqrt[7]{y} \\\\\\ \left( \cfrac{x}{10}-9 \right)^7=(\sqrt[7]{y})^7 \implies \left( \cfrac{x}{10}-9 \right)^7=\stackrel{f^{-1}(x)}{y}[/tex]

With substitution, you need to solve one of the equations for one of the unknown variables and substitute that value into one of the other equations, then solve for the remaining unknown variable.

To solve a 3 equation problem, you can use elimination or substitution. With elimination, you need to add or subtract the equations to eliminate one of the unknown variables. With substitution, you need to solve one of the equations for one of the unknown variables and then substitute that value into one of the other equations. You can then solve for the remaining unknown variable.

To solve a 3 equation problem, you can use elimination or substitution methods. With elimination, you need to add or subtract the equations to eliminate one of the unknown variables. With substitution, you need to solve one of the equations for one of the unknown variables and substitute that value into one of the other equations, then solve for the remaining unknown variable.

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No, You cannot use your 10 meter radio on CB (citizen’s band), so long as you follow the rules on frequency, and power.

A public, two-way personal radio service is the Citizen's Band (CB) Radio Service, usually abbreviated as CB. There are various categories for CB operating. The most popular CB method is voice communication, which rose to popularity in the 1970s. Mobile CB operating is still common, particularly in automobiles and trucks. The majority of CB operating occurs in a constrained range of frequencies around 27 MHz. This band contains 40 channels. There is excessive channel saturation.

A CB (citizen’s band) radio must be FCC type approved. Of course, I have no idea where you are, so maybe, where you are, it is ok. In the US however, CB radios are not to be “easily modified” neither to increase power out nor to allow operation outside the citizen’s band frequencies. Even as an extra class amateur radio licensee, I may not use a modified radio on the CB band. I am allowed, however to modify a CB radio to operate on amateur radio bands.

You cannot use your 10 meter radio on CB (citizen’s band), so long as you follow the rules on frequency, and power.

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Any two angles whose sum is 146 degrees must both be less than 146 degrees. This can be supported by the Triangle Sum Theorem, which states that the sum of the measure of the interior angles of a triangle is 180 degrees.

The Triangle Sum Theorem states that the sum of the measure of the interior angles of a triangle is always 180 degrees. Therefore, if two angles add up to 146 degrees, then both of those angles must be less than 146 degrees. This is because the remaining angle must make up the difference to reach the total of 180 degrees.

Therefore, any two angles whose sum is 146 degrees must both be less than 146 degrees.

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The required number of ways are 24 and the situation is permutation.

An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are arranged in a linear or sequential order. For instance, the set A=1,6 has a permutation of 2, which is 1,6,1.

It depicts a permutation since the order of the people in this situation matters.

According to the number of ways, the first position can be filled by four people, the second by three (because the first position has already been taken by one person), the third by two, and the fourth by one.

This results in 4321 = 4! = 24 ways as the total number of ways.

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Answer:  the maximum number of zeros that the polynomial function

f(x)= 4x^9+5x^8+4x^6+9x+1  is 9

Step-by-step explanation:

Firstly, it is important to rearrange the function in decreasing order. The function will now be f (x) = 4x^9+5x^8+4x^6+9x+1

Secondly, for finding the zeros, it is necessary to find the degree of the function. The maximum number of zeroes in a polynomial is the degree of the function. The degree of a function is the highest value of exponents in the function. Here, in this function, the degree is 9.

Lastly, the degree of the function is the number of zeroes. Since the degree is 9, the number of zeroes possible is also 9.

On solving the provided question, we can say that length of the rectangle pool is  is = 17.58

A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.

[tex](30+2x)(40+2x)-1200=3696\\1200+60x+80x+4x^2 -1200=3696\\4x^2 +140x-3696=0\\x=17.58 or -52.58\\[/tex]

length is = 17.58

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Given that each additional call will cost Rs. 1,

The total cost of the additional calls is Rs. 1332 calls.

Given that there is a charge for up to 175 calls, Rs 200.

And each subsequent call will cost Rs 1.

Additionally, there are 13% VAT and 10% TSC.

Taxes total 10 + 13 = 23 %.

And the full amount owed is Rs 1988.8.

Finding the monthly total of additional calls is necessary.

Therefore, the amount before tax would be

1998.8 -14% of 1988.8

- 1988.8 - 1988.8 x 14/100

=1988.8 - 457.424

=1531.376.

Additionally, the minimum telephone fee is Rs 200.

After the minimum charge, the amount is 1531.376-200.

Rs 1331.376

Given that each additional call will cost Rs. 1,

The total cost of the additional calls is Rs.

1 = 1331.376/Rs = 1332 calls.

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According to the given information the supplementary angle are 132 and 48.

Two angles are referred to as supplementary angles because they combine to generate a linear angle when their total is 180 degrees. When two angles add up to 90 degrees, however, they are considered to be complimentary angles and together they make a right angle.

If the total of two angles is 90 degrees or greater, they are complementary; if the sum is 180 degrees or greater, they are supplementary. Given that they are in the same ratio, we will call one angle 11x whilst the other is 4x.

They add up to [tex]11x+4x=15x={180}^\circ\rightarrow x=12[/tex]

So one angle is [tex]11\cdot12={132}^\circ[/tex]

And the other is [tex]4\cdot12={48}^\circ[/tex]

Check: [tex]132+48=180[/tex]

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So, on solving the question we can say that the equation formed is - 6500 = 15x - 30y x = 433.3333333333

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

the equation formed is -

6500 = 15x - 30y

y = 0

x = 6500/15

x = 433.3333333333

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The horizontal distance travelled by the ball when it hits ground is 119.67 feet

An equation is an expression composed of variables and numbers linked together by mathematical operations.

Let x represent the horizontal distance traveled by the ball and h represent the height of the ball. Given that:

h = -0.01x² + 1.18x + 2

The ball hits the ground when h = 0, hence:

-0.01x² + 1.18x + 2 = 0

x = 119.67

The horizontal distance is 119.67 feet

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The number of such paths from (0,0) to (85,65) is C(150, 85).

What is co-ordinate ?

In mathematics, a coordinate is a pair of numerical values that represent a specific location on a two-dimensional surface, such as a graph, a map, or an image. The two values are usually referred to as the x-coordinate and the y-coordinate.

A path from (0,0) to (85,65) on the integer grid that starts at (0,0) and increments one coordinate by 1 and leaves the other unchanged at each step is equivalent to a sequence of 85 "right" steps and 65 "up" steps. The number of ways to arrange these steps is given by the binomial coefficient C(85+65, 85), which is the number of ways to choose 85 items (the "right" steps) from a set of 150 items (85 "right" and 65 "up" steps) without replacement and where order matters.

The general formula for the binomial coefficient is C(n, k) = n! / (k!(n-k)!), where n! is the factorial of n, i.e., the product of all integers from 1 to n, and k! is the factorial of k. Using this formula, we have:

C(150, 85) = 150! / (85!(150-85)!) = (150149148*...6665) / (858483*...1) = (150149148...6665) / (85!)

So, the number of such paths from (0,0) to (85,65) is C(150, 85).

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Answer:

b. |−37| + |−28|

Step-by-step explanation:

The absolute value of a number is its distance from 0 on the number line. Since the divers are below sea level, both 37 and 28 will be negative numbers.

To find the distance between the two divers, we need to add the absolute values of their depths.

The first diver is at -37 ft and the second diver is at -28 ft, so we can calculate the distance between them as |-37| + |-28| = 37 + 28 = 65 ft

Answer:

7

Step-by-step explanation:

Let the common difference of the two APs be" D"

Let 1st term of 1st AP be A₁ i.e = -1

And the first term of the second AP b₁ i.e = -8

We know that the nth term of an AP is;

an = a+(n-1)d

4th term of first AP,

a₁ + (4-1)d = − 1 + 3d.           --Eqn. 1

And 4th term of the second AP,

b₁ + (4-1) d=-8+ 3d                -- Eqn 2

Now, the difference between their 4th terms is i.e.

= (- 1+ 3d ) - (-8 + 3d )

= -1 + 3d + 8 - 3d = 7

So, the answer is 7.

a) Maths was the third most popular subject, according to the chart showing the results for the most popular subjects using their percentages.

b) About 10 percent of the students chose Maths.

The percentage is the ratio of one variable or value compared to another.

Percentages are proportional values.  They are obtained as the quotient of one value (the numerator) divided by another value (the denominator) before being multiplied by 100.

Subject   Percentage

Art                 30%

History          20%

Maths            10%

Thus, based on the percentage of popular subjects, 10% chose Maths as the third most popular subject.

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a) The rate of change for swimmer A is 35.5.

b) the rate of change for swimmer B is 31.5.

c) Simmer A is swimming at faster rate than swimmer B.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

a) The rate of change for swimmer A

= (177.5- 71) / (5-2)

= 106.5/3

= 35.5

b) the rate of change for swimmer B

= (126- 94.5) / (4-3)

= 31.5

c) Simmer A is swimming at faster rate than swimmer B.

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The system of inequalities that models this situation is given as follows:

One possible solution is given as follows:

(9,4).

Meaning that he works 9 hours lifeguarding and 4 hours clearing tables.

The variables for the system of inequalities in this problem are given as follows:

The number of hours cannot be negative, hence the first two restrictions are given as follows:

He can work a maximum of 14 total hours, hence:

x + y ≤ 14.

He must earn no less than $180, hence, considering the rates for each job, we have that:

18x + 10y ≥ 180.

Also, he must work no more than 10 hours lifeguarding and no less than 3 hours clearing tables, hence:

The shaded region represents all possible solutions for the system of inequalities.

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