There are 30 drummers competing in the Battle of the Bands this year. Next year, 5 of the drummers will leave and some new drummers will join the competition. If d is the number of drummers who will join the competition, which expression(s) represent the number of drummers in the competition next year.

Answer:

Simple, [tex]1/8=2/5x[/tex] so [tex]1/8/2/5=x[/tex] would become [tex]x=1/20[/tex], which is equal to 2/40 :)

Step-by-step explanation:

The equation 11 = −4x²−x³ is a cubic polynomial.

Polynomial:

A polynomial is an algebraic expression containing indefinites and constants. Polynomials can be thought of as dialects of mathematics. They are used to represent numbers in almost all areas of mathematics, and are used in specific areas of mathematics such as mathematics  Critical analysis. For example, 2x + 9 and x2 + 3x + 11 are polynomials.

Cubic Polynomial:

The cubic polynomial is the polynomial with the largest exponent of the variables. H. Order of variables as 3. Based on the degree, polynomials are divided into four types: zero polynomials, linear polynomials, second order polynomials, and third order polynomials. The general form of a cubic polynomial is p(x): ax³ + bx² + cx + d, where a ≠ 0. where a, b, and c are coefficients and d is a constant, all of which are real numbers. An equation involving a cubic polynomial is called a cubic equation. Examples of cubic polynomials are p(x): x³ − 5x² + 15x − 6 and

r(z): πz³ + (√2)10.

Now,

A cubic polynomial is a polynomial of degree 3. A cubic polynomial has the form f(x)=a₃x³ +a₂x² +a₁ x+ a₀

​Here, the polynomial 11 = −4x² −x³

or x³+4x² +11 = 0 is a polynomial of degree 3 with coefficients a₁ = 0,

a₂ =4, a₃​ =1 and constant a₀= 11.

Hence, 11 = −4x² −x³  is a cubic polynomial.

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10,20,30,40,50

Here, 30 is both mean and median.

Answer:

1,2,3.

Step-by-step explanation:

It's simple. But here's the math.

1+2+3÷3=2

And the median of the number is 2.

Therefore , the solution of the given problem of tractable problem comes out to be  the halting problem is undecidable for Turing machines.

a process that completes a manageable task in a polynomial amount of time. The polynomial upper bound is used. If an issue cannot be resolved in a polynomial amount of time, it is referred to as being intractable. The bound's minimum is exponential.

Here,

Alan Turing proved in 1936 that a general algorithm running on a Turing

machine that solves the halting problem for all possible program-input

pairs necessarily cannot exist.

the halting problem is undecidable for Turing machines.

Therefore , the solution of the given problem of probability comes out to be  the halting problem is undecidable for Turing machines.

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Answer:  0 and 1, in that order

The numbers   0   and   1   are respectively the additive and multiplicative identities of rational numbers.

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Explanation:

The additive identity is 0 because adding 0 to any number leads to the original number. For instance, 7+0 = 7. In general we can say x+0 = x or we could also say 0+x = x.

The multiplicative identity is 1 because multiplying 1 with anything leads to that original number. Example: 1*5 = 5 or 9*1 = 1. The general template is x*1 = x which is the same as saying 1*x = x.

These ideas not only apply to rational numbers, but to real numbers as well.

The statement that best represents the function must be identified by reading the graph.

A) When  x < 0, the function is negative.

This is accurate; as you can see, the function is negative for x < 0 because it is below the horizontal axis.

We shall see that choice A is the proper one. "When x < 0, the function is negative."

The function tends to infinity on the positive side at an x close to zero.

The function tends to negative infinity at x close to zero on the negative side.

The function tends to zero as x's absolute value grows.

So we can conclude that this is an inverse function similar to:

y = f(x) = 1/x

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The two spaceships will meet in 8 hours if the second spaceship is traveling at 90. 000 km/hr.

To calculate the time it will take for the two spaceships to meet, you must use the equation Distance = Rate x Time. Since the first spaceship has a higher rate of speed, it will reach the second spaceship in less time than it would take the second spaceship to reach the first.

This means that the time it takes for the two spaceships to meet will be equal to the time it takes for the first spaceship to travel the distance between the two space stations. We can use the equation to solve for time: Time = Distance/Rate. In this case, the distance is 710,000 km and the rate is 110,000 km/hr, so the time is 6.45 hours.

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The independent variable is h (the number of hours Neil works) and the dependent variable is B (the amount of Neil's bonus).

In this scenario, the amount of Neil's bonus (B) is dependent on the number of hours he works (h). The number of hours he works is the input or independent variable, while the amount of bonus he receives is the output or dependent variable. It can be said that the number of hours he works is the cause and the amount of bonus is the effect.

The equation is B = f(h) where f is the function that relates the two variables.

Thus, the independent variable is h (the number of hours Neil works) and the dependent variable is B (the amount of Neil's bonus).

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Complete Question is-

Neil works as a consultant at a software company and the amount of his annual bonus is based on the number of hours he works, which variable is independent and which is dependent? With B as the amount of Neil's bonus, and h as the number of hours Neil works.

Answer:

[tex] \frac{-5}{28} [/tex]

Step-by-step explanation:

Given:

[tex] \frac{-1}{5} * (\frac{3}{4} + \frac{1}{7}) [/tex]

Required:

Solve

Solution:

[tex] \frac{-1}{5} * (\frac{3}{4} + \frac{1}{7}) [/tex]

Apply distributive property by multiplying each reaction in the box by -⅕

[tex] (\frac{-1}{5} * \frac{3}{4}) + (\frac{-1}{5} * \frac{1}{7}) [/tex]

[tex] \frac{-3}{20} + \frac{-1}{35} [/tex]

Add together. Common denominator is 140. Therefore:

[tex] \frac{-21 + (-4)}{140} [/tex]

[tex] \frac{-25}{140} [/tex]

Simplify further

[tex] \frac{-5}{28} [/tex]

Answer:

the probability is 0.00552

Step-by-step explanation:

If 93% are cured, the percentage not cured will be 100-93 = 7%

let p = probability of being cured = 93% = 93/100 = 0.93

q = probability of being uncured = 7/100 = 0.07

so we proceed to use the bernoulli approach;

we have this as;

P(X = n) = X C n p^n q^n-1

P(X = 3) = 6 C 3 * 0.93^3 * 0.07^3

P(X = 3) = 0.00552

Answer:

B) 81 and 20°

Step-by-step explanation:

In any triangle, the sum of the measures of the three angles is 180°. Therefore, if two angles in a triangle have measures of 79° and 81°, the third angle must have a measure of 180 - 79 - 81 = 20°. Therefore, the answer is B) 81 and 20°.

Answer:

B

Step-by-step explanation:

Answer:

of g(x) is the set of all real numbers

Answer:

Hope it helps you!...............

Answer:

A ≈ 25.1 cm²

Step-by-step explanation:

The area (A) of the shaded region is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{\frac{4\pi }{9} }{2\pi }[/tex]

   = π × 6² × [tex]\frac{\frac{4\pi }{9} }{2\pi }[/tex] ← cancel π and 2π by π

   = 36 × [tex]\frac{\frac{4\pi }{9} }{2}[/tex]

   = 18 × [tex]\frac{4\pi }{9}[/tex]

   = 2 × 4π

   = 8π ≈ 25.1 cm² ( to 1 dec. place )

Two supplementary angles equal 180 degrees.

Let the first angle = x

The second angle is 30 degrees more so this would be x + 30

Now add the two angles together to equal 180:

X + x+ 30 = 100

Combine like terms:

2x + 30 = 180

Subtract 30 from both sides:

2x = 150

Divide both sides by 2:

X = 75

One angle = x = 75

The other angle is x + 30 = 75 + 30 = 105

The smaller angle is 75 degrees.

Step-by-step explanation:

4x-0.5=x+7

4x-x=7+0.5

3x=7+0.5

3x=7.5

x=2.5

hope this helps

The order of the quantities in an inequality matters. Therefore, it is true.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The most frequent application is to size-compare two numbers on a number line.

When resolving an inequality, you can do one of the following: Add the same amount to each side; Subtract the same amount from each side; Multiply or divide each side by the same positive amount. You must flip the inequality symbol if you multiply or divide each side by a negative number.

Therefore, the order matters.

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The composite function is the result of first applying the function (x^2 - 1) to the input and then applying the function (5x + 2) to the result. The final result of the composite function is 5x^3 + 2x - 3.

Step 1: Apply (x^2 - 1) to the input:

(x^2 - 1) = x^2 - 1

Step 2: Apply (5x + 2) to the result:

(5x + 2)(x^2 - 1)

= 5x^3 - 5x + 2x - 2

Step 3: Simplify:

5x^3 - 5x + 2x - 2

= 5x^3 + 2x - 3

A composite function is the result of applying two or more functions in succession. The order of operations for a composite function is to first apply the first function, then apply the second function to the result of the first, and so on. In the example given, the composite function

f(x) = (5x + 2) ∘ (x^2 - 1)

is the result of first applying the function

(x^2 - 1)

to the input and then applying the function (5x + 2) to the result. The calculation can be broken down into three steps: Step 1 is to apply (x^2 - 1) to the input to get x^2 - 1, Step 2 is to apply (5x + 2) to the result to get 5x^3 - 5x + 2x - 2,

and Step 3 is to simplify the result to get the final answer of

5x^3 + 2x - 3.

To summarize, the composite function

f(x) = (5x + 2) ∘ (x^2 - 1)

is the result of first applying the function (x^2 - 1) to the input, and then applying the function (5x + 2) to the

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Answer:

A translation is a type of transformation that moves each point in a figure the same distance in the same direction.

Step-by-step explanation:

Translations are often referred to as slides. You can describe a translation using words like "moved up 3 and over 5 to the left" or with notation.

Answer:

1

Step-by-step explanation:

[h(-4) - h(-1)] ÷ ((-4-(-1))

[(16-24+5) - (1-6+5)] ÷ -3

(-3-0) / -3

-3/-3 = 1

Answer:

its G

Step-by-step explanation:

Therefore, the players are 6.84 meters apart from each other.

An item that is propelled by the application of an external force and then travels freely while being affected by gravity and air resistance is referred to as a projectile. Projectiles are generally used in sports and combat, despite the fact that every item traveling through space is a projectile.

The straight line that traverses a point with a slope equal to the derivative of the curve at that location is said to be the tangent line to a plane curve at that point in geometry. It was described by Leibniz as the path connecting two points on a curve that are infinitely near together.

If we let x be the distance between the players, then we can use the tangent function to relate the angle of elevation to the distance between the player and the basket:

tan(40°) = 3.5/x

tan(50°) = 3.5/(x+1)

We can solve for x in both equations, and set them equal to each other, we get x= 6.84m

Therefore, the players are 6.84 meters apart from each other.

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Answer:

Our goal is to understand how range and interquartile range describe data. To do this, we have to define the range and interquartile range of a given set of data, we have to be able to calculate the range and interquartile a range of a given set of data, and then we want to be able to determine how range and interquartile range are impacted by outliers.

So how can you describe data with range and interquartile range? Range tells us if data is grouped closely together or spread far apart. Interquartile range tells us if data is grouped closely around the median. The key concepts. Range is the difference of the maximum and minimum values.

So if we wanted to calculate the range of this particular data set here, we would say 20 minus 1 and get a range of 19. Interquartile range is the difference of the upper and lower quartiles. In order to do this, we first have to find the median to find those upper and lower quartiles. The median of this data set, the value in the middle, is 6. The lower quartile is the median of the lower half, the middle value then of these three data points being 3.

The upper quartile would be the middle of this data set, and that would be 8. So if we wanted to find the interquartile range, we'd subtract those values. 8 minus 3 gives us an interquartile range of 5. Interquartile range describes the spread of data around the median.

A small interquartile range means that most of the data, the middle half, is clustered tightly around the median, whereas a large interquartile range would mean that that data that's in the middle is more spread out. And finally, outliers impact the range, but have little impact on the interquartile range. If we consider our data set here, we see that we have an outlier of 20, but it really only impacts the range.

It does not play a significant role on the interquartile range.

Step-by-step explanation: also brainleist

Hence your answer will be D

On solving thr provided question, by help of arithmetic progression, we got to know that a10 = 207

There are two approaches to define arithmetic progressions (AP): The difference between any two successive terms in an arithmetic sequence must always be equal, and it is sometimes referred to as a series in which all terms except the first are created by adding a predetermined number to the preceding term.

9,15,25..............

15-9 = 6

25-15 = 10

a4 - 25 = 14 => a4 = 39

frequently referred to as a series in which all terms save the first are formed by adding a predefined number to the preceding term since the difference between any two succeeding terms in the sequence must always be equal.

a5-39 = 18 => a5 = 57

a6-57 = 22 => a6 79

...

...

...

...

...

a10 - 169 = 38 => a10 = 207

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Answer:

Step-by-step explanation:

We know that : Percentage means 'divided by 100'

therefore, 1/2 percent = 1 / 2 ÷ 100 = 0.5 ÷100 = 5÷1000= 0.005

Answer:

14 minutes

Step-by-step explanation:

We can represent Xavier's running in the following ratio using the given information:

distance : time

13 miles  :  182 minutes

To get the answer to this problem, all we have to do is divide both sides of the ratio by 13, so that the left side is 1 mile.

[tex]13 \textrm{ miles} : 182\textrm{ minutes}\\\overline{\ \ \ \ 13 \ \ \ \: } \ \ \: \overline{\ \ \ \ \ \ \, 13 \ \ \ \ \ \ }[/tex]

1 mile     :   14 minutes

It takes Xavier 14 minutes to run 1 mile.

Answer:

A(1) = 3, A(2) = 5, A(3) = 8, A(4) = 12, A(5) = 17

Step-by-step explanation:

Given A(n) = n + A(n–1) a1 = 3.

A(1) = 3.

A(2) = (2) + A(2–1)

= (2) + A(1)

= (2) + (3) = 5

A(3) = (3) + A(3-1)

= (3) + A(2)

= (3) + (5) = 8

A(4) = (4) + A(4–1)

= (4) + A(3)

= (4) + (8) = 12

A(5) = (5) + A(5–1)

= (5) + A(4)

= (5) + (12) = 17