• If 7x +5= 2x +9, then x= ?

Answer:

The medium is 4, The range is 9, The mode is 7.

Step-by-step explanation:

The medium is 4 because its the middle number.

The range is 9 because its what 9 the biggest number subtracted by 0 the smallest number equal.

The mode is 7 because its the number that appears the most.

The number of ways of selecting a committees of 5 members from  a group of 10 people will be 252

Combination is a method to calculate different ways to select items from a set / group regardless of the order.

ⁿCₓ = n! / (n-x)! x!

Total number of people in group is 10

Number of people require to form committee is 5

By using Combination ,

¹⁰C₅ = 10! / (10 - 5 )! 5!

= 10×9×8×7×6×5! / 5! × 5!

Cancelling 5! from numerator and denominator

= 10×9×8×7×6 / 5!

expanding the factorial

= 10×9×8×7×6 / 5×4×3×2×1

= 252

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Answer:

955 in quinary system = 12310

955 in binary system = 1110111011

Step-by-step explanation:

Quinary system is in base 5, that is, 0,1,2,3,4

955 in quinary system

955 ÷ 5 = 191 remainder 0

191 ÷ 5 = 38 remainder 1

38 ÷ 5 = 7 remainder 3

7 ÷ 5 = 1 remainder 2

1 ÷ 5 = 0 remainder 1

In reverse order of the remainder

= 12310

Binary system = 0,1

955 in binary system

955 ÷ 2 = 477 remainder 1

477 ÷ 2 = 238 remainder 1

238 ÷ 2 = 119 remainder 0

119 ÷ 2 = 59 remainder 1

59 ÷ 2 = 29 remainder 1

29 ÷ 2 = 14 remainder 1

14 ÷ 2= 7 remainder 0

7 ÷ 2 = 3 remainder 1

3 ÷ 2 = 1 remainder 1

1 ÷ 2 = 0 remainder 1

In reverse order of the remainder

1110111011

Answer:

(x - 4)(x - 2)²

Step-by-step explanation:

x³ - 8x² + 20x - 16

x³ - 4x² + 4x - 4x² + 16x - 16

x(x² - 4x + 4) - 4(x² - 4x + 4)

(x - 4)(x² - 4x + 4)

(x - 4)(x² - 2x - 2x + 4)

(x - 4)(x(x - 2) - 2(x - 2))

(x - 4)(x - 2)(x - 2)

(x - 4)(x - 2)²

(x - 4)(x - 2)²

Answer:

-96

Step-by-step explanation:

x+2=0 take 2 to the other side which will be -2

the -2 you sub it into the quotient and calculate

When A be the area of a circle with radius r. If dr/dt=4, when r=1, dA/dt equals 8π.

This problem involves finding the rate of change of the area of a circle with respect to time, given the rate of change of its radius with respect to time. To solve this, we use the formula for the area of a circle and differentiate it with respect to time.

Then, we substitute the given values, which are the rate of change of the radius and the value of the radius when we want to find the rate of change of the area.

To find dA/dt when r=1, you first need to know the formula for the area of a circle: A = πr². Now, differentiate A with respect to t to find dA/dt:

Given that dr/dt = 4, substitute this value and r=1 into the equation:

So, when r=1, dA/dt equals 8π.

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The compounds that can be removed from automobile exhaust by a catalytic converter are CO, NO.

The compounds that can be removed from automobile exhaust by a catalytic converter are:

CO (carbon monoxide)

NOx (nitrogen oxides, including NO and NO2)

So, the correct options from the given list are:

CO

NO

Please note that SO2 (sulfur dioxide), HCN (hydrogen cyanide), and NO2 (nitrogen dioxide) are not typically removed by a catalytic converter.

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Step-by-step explanation:

35.4

Answer:

35.4

Step-by-step explanation:

To round 35.367 to the nearest tenth consider the hundredths’ value of 35.367, which is 6 and equal or more than 5. Therefore, the tenths value of 35.367 increases by 1 to 4.

35.367 rounded to the nearest tenth = 35.4

Two algebraic expressions that have the same value for all values of their variable(s) are called Equivalent expression.

Algebraic expression is an expression which is made up of variables and constants along with algebraic operation (addition, subtraction etc. )

Variables are values that can change over time.

Constant are the quantities that have fixed numerical value.

Two algebraic expression are equivalent expression if they have the same value for all values of their variable(s).

Equivalent algebraic expression are those expression which on simplification give the same resulting expression.

or

Two expression are said to be equivalent if their values obtained by substituting the values of the variable are same

For example:

Let,

\(f(x)=3(x+2)\\g(x)=3x+6\)

Substituting the \(x=4\) in the both equation..

\(f(x)=3(x+2)=3(4+2)=3(6)=3*6=18\)

\(g(x)=3x+6=3*4+6=12+6=18\)

\(3(x+2)\) and \(3x+6\) are the equivalent expression because the value of both equation remain same for any value of \(x\)

Two algebraic expressions that have the same value for all values of their variable(s) are called Equivalent expression.

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Answer:

the first one is 90, the second is 150, the third is option dStep-by-step explanation:

Answer:

Edge 2020

Step-by-step explanation:

Answer:

say where we meet ❤️

Answer:

O = 29

P = 61

Step-by-step explanation:

90 = (x+3) + (2x+9)

90 = 3x + 12

90 - 12 = 3x

78 = 3x

x = 26

26 + 3 = O = 29

(26 * 2) + 9 = P = 61

61 + 29  = 90 = Complementary Angles

The third line shows the solutions to n > 0.

The correct option is third line.

A horizontal line with uniformly spaced numerical increments is referred to as a number line.

The way the number on the line can be replied will depend on the numbers on the line.

The number's intended use is described in the question that goes with it, such as when graphing a point.

Locating numbers, comparing numbers, fractions and mixed numbers, decimals, integers, absolute value, addition, subtraction, inequalities, multiples, common denominators, and other mathematical concepts may all be taught using number lines, which are incredibly versatile manipulatives.

We have a number-line.

To find the number line that shows the solution, n > 0:

n is greater than 0.

At 0, there is an open dot circle.

And the line should be extended toward positive infinity.

Therefore, third line is required number line.

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The maximum possible volume of a rectangular box with a fixed diagonal length l can be found using the Pythagorean Theorem. Since the diagonal of a rectangular box is the hypotenuse of a right triangle, it can be written as l^2 = a^2 + b^2.

To find the maximum possible volume, we can take the derivative of the volume function with respect to both the length a and the width b. After some algebra, this derivative can be simplified to the following equation: (2a - l)(2b - l) = 0. This equation states that either a = l/2 or b = l/2, which makes the box a cube with sides of length l/2. Therefore, the maximum possible volume of a rectangular box with fixed diagonal length l is (l/2)^3 = (l^3)/8.

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Solution:

Given:

To calculate the surface area of a rectangular prism, the formula below is used:

Substituting the given values into the formula:

Therefore, the correct answer is OPTION C.

Answer:

Step-by-step explanation: i think 8 and 8?

Answer:-8 and 8

Step-by-step explanation:

Brain list please

The expressions that are not polynomials are the second and third ones:

A polynomial is a lineal combination of terms of powers of variables, such that the exponents must be positive integers or zero.

So, for example, a polynomial of degree n is:

p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x + a₀

Where we also can have more than one variable.

Then, for example the first one:

-4p + 7

Is a polynomial of degree 1.

The options that are not polynomials are:

p(n) = 3 + 1/n

p(q) = q^(1/2) + 5

Which are the second and third options.

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Answer:

Those are the answers

Step-by-step explanation:

3 + 1/n

q^(1/2) + 5

Al Barkley's average tax rate can be determined using the provided tax rate schedule and his taxable income of $67,000.

To calculate Al's average tax rate, we need to determine the total amount of taxes he owes and divide it by his taxable income.

Using the provided tax rate schedule, we can find the tax owed for each income bracket. However, since the specific tax rate schedule is not provided, I will provide an example based on the 2021 tax rate schedule for single individuals in the United States.

Lets assume the tax rates are as follows:

10% on the first $9,950 of taxable income

12% on the income between $9,951 and $40,525

22% on the income between $40,526 and $86,375

24% on the income between $86,376 and $164,925

... and so on

To calculate the total tax owed, we determine the tax for each income bracket and sum them up. For example, if Al's taxable income is $67,000, we calculate the tax as follows:

Tax on the first $9,950 (10%): $9,950 * 0.10 = $995

Tax on the income between $9,951 and $40,525 (12%): ($40,525 - $9,951) * 0.12 = $3,741.48

Tax on the income between $40,526 and $67,000 (assumed rate): ($67,000 - $40,526) * tax rate = $X (unknown)

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The second wheel has a smaller circumference compared to the first wheel. The second wheel completes a revolution when the wheel turns 75.40 inches, but the odometer reads 84.82 inches.

There are two types of odometers

In the case of a mechanical odometer, the worm gear is used to make the gear train, and the overall gear ratio is 1690:1, which means that when the vehicle travels a distance of 1 mile, the mechanical odometer input shaft makes 1690 revolutions during this time. In the case of a digital odometer, a magnetic sensor is used to receive pulses, each of which counts as one revolution. We now have a bicycle odometer designed for 27 wheels. Thus, d₁ = 27 inches is the diameter of the first wheel

d₂= 24 inches is the diameter of the second wheel

The odometer is the distance traveled by the vehicle, given as the number of revolutions of the wheel multiplied by the circumference of the wheel. So for the first wheel, Therefore, in case of first

wheel, \(C_1 = πd_1 \)

= π × 27

= 84.82 inches

In case of second wheel,

\(C_2 = π × d_2\)

= π × 24 inches

= 75.40 inches

So, \(C_1 - C_2 = \) 84.82 inches - 75.40 inches

= 9.42 inches

So we can see that the second wheel has circumference is less as compared to the first wheel.

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Complete question:

bicycle odometer is designed for 27 wheels. what happens if you use it on a bicycle with 24 wheels?

Answer:

Step-by-step explanation:

A recursive sequence that represents the sequence defined by the explicit formula is -20, -40, 80 and 160

A recursive sequence is a sequence that is defined by a starting value, a rule to generate the next terms, and the previous terms of the sequence. In other words, to find any term in a recursive sequence, you need to know the previous terms.

Now, let's consider the sequence defined by the following explicit formula:

aₙ= -5(-2)ⁿ+1

To find the first term, we can substitute n=1 into the formula:

a₁= -5(-2)¹+1 a₁= -5(-2)² a₁= -5(4) a₁= -20

Therefore, a₁=-20.

To find a recursive formula for the sequence, we need to use the previous term(s) in the formula. In this case, we can express aₙ in terms of which is the previous term:

aₙ= -5(-2)ⁿ+1 a_(n-1)= -5(-2)ⁿ⁻¹+1

By substituting a_(n-1) into the formula for aₙ, we obtain:

aₙ= -5(-2)ⁿ+1 aₙ= -5(-2)(-2)ⁿ⁻¹+1 aₙ= 2a_(n-1)

Therefore, the recursive formula for the sequence is:

a₁= -20 (the starting value) aₙ= 2a_(n-1) for n > 1 (the rule to generate the next terms)

To generate the sequence using this recursive formula, we can start with the first term a₁=-20 and use the formula repeatedly to find the next terms. For instance:

a₂= 2a₁= 2(-20)= -40

a₃= 2a₂= 2(-40)= 80

a₄= 2a₃= 2(80)= 160 and so on.

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Answer:

1. (-3.4, 2.3)

2. y=1/2x+4 and y=-2x-8

Answer:

Step-by-step explanation:

the answer is D for 1

B for (2)

The equation that represents h(x) is h(x) = (f(x))(g(x)).

To determine which equation represents h(x), we need to analyze the given table and understand the relationship between the functions f(x), g(x), and h(x).

Since h(x) represents the output values obtained by multiplying f(x) and g(x), we should look for values in the table where h(x) is the product of the corresponding values of f(x) and g(x).

Let's examine the table and compare the values:

x | f(x) | g(x) | h(x)

1 | 3 | 4 | 12

2 | 5 | 2 | 10

3 | 2 | 6 | 12

From the table, we can see that the values in the h(x) column are the products of the corresponding values in the f(x) and g(x) columns. Therefore, the equation that represents h(x) is h(x) = (f(x))(g(x)).

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Answer:

It's B.

Step-by-step explanation:

Edge 2020.

Answer:

=================

This is a linear relationship, with initial value being the y-intercept and depreciation rate being the slope of the line:

Since y = 3000, plug it in and find the value of x:

Answer:

z=500

Step-by-step explanation:

since we know that the whole equation is equal to 250, we can substitute values in.

250=150/1/5 -z

250=750-z

-500=-z

z=500

The value of z for the function f(x)=150/x-z is z=500.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the function f is defined by f(x)=150/x-z where z is a constant. The value of the function at x = 1/5 is 250.

The value of the constant z will be calculated as,

The whole equation is equal to 250, we can substitute values in.

250=150/1/5 -z

Simplify the equation and solve for the value of z,

250=750-z

-500=-z

z=500

Therefore, the value of z for the function f(x)=150/x-z is z=500.

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The value of pi is known to over 31 trillion decimal places, thanks to the use of powerful computers and sophisticated algorithms.

The history of pi dates back thousands of years, and over time, various civilizations have attempted to calculate its value with varying degrees of accuracy. One of the most inaccurate versions of pi was recorded by the ancient Babylonians around 2000 BC.

The Babylonians calculated the value of pi as 3.125, which is off by more than 6% from the actual value. It is believed that the Babylonians arrived at this value by using a rough approximation of a circle as a hexagon. They measured the perimeter of the hexagon and divided it by the diameter to get their approximation of pi.

This value was later refined by the ancient Egyptians and Greeks, who were able to calculate pi with greater accuracy. The Greek mathematician Archimedes, for instance, was able to calculate pi to within 1% accuracy by using a method of exhaustion.

It wasn't until the development of calculus in the 17th century that mathematicians were able to derive an exact formula for pi. Today, the value of pi is known to over 31 trillion decimal places, thanks to the use of powerful computers and sophisticated algorithms.

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