What happens to the distance between each billiard ball during this rigid

transformation?

Considering the situation tested, the alternative hypothesis would be given by:

\(H_a: p \neq \overline{p}\)

At the null hypothesis, we test if our claim is wrong, that is, if the proportion is still the same of \(\overline{p}\):

\(H_0: p = \overline{p}\)

At the alternative hypothesis, it is tested if there is enough evidence that our claim is correct and the proportion has changed, that is:

\(H_a: p \neq \overline{p}\)

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Answer D and E

Step-by-step explanation:

The value of t₄ in the arithmetic sequence is 103/8.To determine the value of t₄ in an arithmetic sequence, we need to use the given information that t₁ = 11 (the first term of the sequence) and S₉ = 243 (the sum of the first 9 terms of the sequence).

We know that the formula for the sum of an arithmetic sequence is Sₙ = (n/2)(2a + (n-1)d), where Sₙ is the sum, a is the first term, n is the number of terms, and d is the common difference.

From the given information, we have S₉ = 243, a = 11, and n = 9. Plugging these values into the sum formula, we can solve for d:

243 = (9/2)(2(11) + (9-1)d)

243 = 9(22 + 8d)

243 = 198 + 72d

45 = 72d

d = 45/72 = 5/8

Now that we have the common difference, we can find t₄ using the formula for the nth term of an arithmetic sequence:

tₙ = a + (n-1)d

t₄ = 11 + (4-1)(5/8)

t₄ = 11 + 3(5/8)

t₄ = 11 + 15/8

t₄ = 88/8 + 15/8

t₄ = 103/8

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Answer:

-4

Step-by-step explanation:

Step-by-step explanation:

Given

-6x + 9 = 33

or -6x = 33- 9

or, - 6x = 24

or - x = 24 / 6

or, - x = 4

Therefore x = - 4.

Hope it will help you :)

Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70

Answer:

Imaginary

Step-by-step explanation:

Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).

The area of a circle is given by the formula A = πr², where r is the radius of the circle.

The area of a circle can be found using either of the following formulas:

\(\pi r^2\), where π (pi) is a mathematical constant approximately equal to 3.14159 and r is the radius of the circle.

\(A = (d/2)^2π,\) where d is the diameter of the circle. This formula can also be written as \($A = r^2\pi$\), where r is the radius of the circle and A is the area.

Both formulas are equivalent and can be used interchangeably, depending on the given information about the circle.

Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).

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The Bernoulli differential equation is a nonlinear ordinary differential equation of the form:

dy/dx + P(x)y = Q(x)y^n, where n ≠ 0, 1.

For n = 0 or n = 1, the equation is linear. For other values of n, a common technique to linearize the equation is to make the substitution y = v^(-1/n-1). The resulting equation is:

dv/dx + (P(x) + Q(x)/v^(1/n-1)) * (1/n-1) * v^(1/n-2) * dv/dx = 0.

For the initial value problem given, we have P(x) = -1/x, Q(x) = -5, and n = 2.

We make the substitution y = v^(-1), so v = y^(-1), and dv/dx = -y^(-2)dy/dx. The equation becomes:

-y^(-2)dy/dx + (-1/x - 5y^2) = 0.

We have the initial condition y(1) = 1/5. In terms of v, the initial condition becomes v(1) = 1/(1/5)^2 = 25.

Now, the differential equation is linear, and we can solve it using standard methods, such as separation of variables. To find the solution that satisfies the initial condition, we may use numerical methods such as the Euler method or Runge-Kutta method.

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The estimated cost for constructing the house in New Orleans, Louisiana of the given square feet is option A. $113,750.

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Given that, construction rate per square feet is $65.

We have to find the estimated cost for a two-story home of 950 ft2 on the first floor and 800 ft² on the second floor.

Total area of the plot = 950 ft² + 800 ft²

                                   = 1750 ft²

Estimated cost can be calculated by multiplying total area with the construction rate per square feet.

Estimated cost = 1750 ft² × $65

                         = $113,750

Hence the estimated cost is $113,750.

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The quotient in simplest form is \(x^3 * (x+1)/(x-4).\)

A fractiοn represents a part οf a whοle οr, mοre generally, any number οf equal parts. When spοken in everyday English, a fractiοn describes hοw many parts οf a certain size there are, fοr example, οne-half, eight-fifths, three-quarters.

Numeratοrs and denοminatοrs are alsο used in fractiοns that are nοt cοmmοn, including cοmpοund fractiοns, cοmplex fractiοns, and mixed numerals.

In pοsitive cοmmοn fractiοns, the numeratοr and denοminatοr are natural numbers. The numeratοr represents a number οf equal parts, and the denοminatοr indicates hοw many οf thοse parts make up a unit οr a whοle.

Tο divide fractiοns, we invert the secοnd fractiοn and multiply it by the first. Sο:

4x⁵/12x² ÷ (x²-3x-4)/(3x+3)= (4x⁵/12x²) * (3x+3)/(x²-3x-4)

Inverted secοnd fractiοn and multiplied

= (4/12) * (x⁵/x²) * (3(x+1)/(x-4)(x+1))

Factοred the denοminatοr οf the secοnd fractiοn

= (1/3) * \(x^{(5-2)\) * (3(x+1)/(x-4))

Simplified and cancelled οut cοmmοn factοrs\(= (1/3) * x^3 * (3(x+1)/(x-4))= x^3 * (x+1)/(x-4)\)

Therefοre, the quοtient in simplest fοrm is  \(x^3 * (x+1)/(x-4).\)

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Answer:

perimeter= 10+10+10

= 30 cm

mark me brainliestt :))

Answer:

here is your ans .

I have explain your ans Above

Answer:

-20(y-3)/3

Step-by-step explanation:

The expression can be written simplified as 6x - 4y + 12.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The expression is given as:

3(6/5x+4y+6)-2(9/5x+8y+3)​

To simplify the expression, we need to use the rules of algebra to combine like terms and perform the necessary operations in the correct order.

First, we can distribute the 3 and the -2 to the terms inside the parentheses:

3(6/5x+4y+6) - 2(9/5x+8y+3)

= 18/5x + 12y + 18 - 18/5x - 16y - 6

Next, we can combine like terms:

= 18/5x - 18/5x + 12y - 16y + 18 - 6

= 6/5x - 4y + 12

Finally, we can simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is 1:

= (6/1) / (5/1)x - 4y + 12

= 6x - 4y + 12

Therefore, the simplified expression is 6x - 4y + 12.

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Answer:

be brief can't see any picture

Answer:

10 5/16

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

We know that BD = 2x - 1 and BC + CD = BD.  Thus, we can set the sum of (x- 3) and 7 equal to 2x - 1 to find x:

BC + CD = BD

x - 3 + 7 = 2x - 1

x + 4 = 2x - 1

x + 5 = 2x

5 = x

Thus, x = 5

Checking the validity of our answer:

We can check that our answer is correct by plugging in 5 for x in x - 3 and 2x - 1 and checking that we get the same answer on both sides of the equation:

5 - 3 + 7 = 2(5) - 1

2 + 7 = 10 - 1

9 = 9

Thus, our answer is correct.

Two years ago, an investment of R1 500000 has increased to R1 700000 and has delivered R40 000 worth of dividends over the two years. Then the return on investment would be 16%.

We can use the following formula to calculate ROI:

ROI = (gain from investment - cost of investment) / cost of investment

where, gain from investment is the total value of the investment (including dividends), and cost of investment is the initial investment.

Using the values given in the question, we can calculate the ROI as:

ROI = ((R1,700,000 + R40,000) - R1,500,000) / R1,500,000 = R240,000 / R1,500,000

ROI = 0.16 or 16%

Therefore, the return on the investment is 16%.

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Answer:

To find the value of "c" for which the number "a" (-5 in this case) is a solution of the equation, we can substitute "a" into the equation and solve for "c".

Given equation: 4x + 1 + 7c = 8c - 3x + 6

Substituting x with "a": 4(-5) + 1 + 7c = 8c - 3(-5) + 6

Simplifying the equation: -20 + 1 + 7c = 8c + 15 + 6

Combining like terms: -19 + 7c = 8c + 21

Moving all "c" terms to one side: 7c - 8c = 21 + 19

Simplifying: -c = 40

Dividing both sides by -1 to isolate "c": -c/-1 = 40/-1

Flipping the sign when dividing by a negative number: c = -40

So, the value of "c" for which the number "a" (-5) is a solution of the equation is c = -40.

Answer:

\(c=-40\)

Step-by-step explanation:

Since a is a Solution to the Equation , then it satisfies the Equation

Substitute by \(x=a=-5\) into the Equation \(4x+1+7c=8c-3x+6\)

Then \(4(-5)+1+7c=8c-3(-5)+6\)

Then \(-20+1+7c=8c+15+6\)

By adding like-terms

Then \(-19+7c=8c+21\)

Then \(8c-7c=-19-21\)

Then \(c=-40\)

ANSWER

75.00 %

EXPLANATION

The former height of the tree is 60 inches.

The new height is 105 inches.

First, let's find the increase:

Increase = New height - Former height

Increase = 105 - 60

Increase = 45 inches

To find the percent increase, we will use the formula below:

Therefore:

Answer:

d. -10b-7

Step-by-step explanation:

An equation that represents the equation of the line is: B. y = 13x + 41.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

At data point (-3, 2) and a slope of 13, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 2 = 13(x - (-3))

y - 2 = 13(x + 3)

y = 13x + 39 + 2

y = 13x + 41

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Complete Question:

A line passes through the point (-3, 2) and has a slope of 13. Which represents the equation of the line?

A, y = 3x + 41

B. y = 13x + 41

C. y = -13x + 41

D. y = 41x + 13

The total number of significant figures ( numerically as an integer ) in the given measurement 6.07 m is equal to 3.

Here in the measurement 6.07 m

Zero is in between two non zero digit 6 and 7.

Zero is countable.

Total number of significant figure in 6.07 m is 3.

Therefore, the number of significant figure in the 6.07 m is equal to 3.

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The Vales of x in the equations are : 1) 3 (2) 1  (3) 5  (4) 14  (5) 10 respectively

A linear equation in one variable is that in which the highest power of its variable is 1

The given equations and their solutions are

2x +1 = 7

By collecting like terms we have

2x = 3

x = 3

2) The given equation is 4x +7 = 11

By collecting like terms we have

4x = 4

Making x the subject we have

x = 1

3) 2x -3 = 7

By collecting like terms we have

2x = 10

Making x the subject we have

x = 5

4) 1/2 x - 3 = 7

By collecting like terms we have

1/2x = 7

x= 14

5) The given equation is 3x - 11 = 19

By collecting like terms we have

3x= 30

Therefore x= 10

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Answer:

$7.25

Step-by-step explanation:

15 - 7.75 = 7.25

Answer: $7.25

Step-by-step explanation:

15.00

-7.75

———

7.25

120 + 4w is the expression to show the total number of songs on Iris's playlist after w weeks.

She total ahs 120 songs already

She downloads or adds 4 songs every week

An expression to show the total number of songs on Iris's playlist after w weeks is:

120 + 4w

An expression or mathematical expression is a limited combination of symbols that is well-formed according to context-dependent norms. To help identify the sequence of operations and other features of logical syntax, mathematical symbols can denote numbers (constants), variables, operations, functions, brackets, punctuation, and grouping.

Many authors differentiate between an expression and a formula, with the former referring to a mathematical item and the latter referring to a statement about mathematical objects.

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On solving the provided question we can say that The following is the data table of the function.

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

here,

the provided functions that can be formed are

           x            -infinity < x < -10

f(x) =    2x + 10          -10 < x < 10

           4X - 10       10 < x < infinty

The following is the data table of the function.

x              y

-20          -20

-15          -15

-10          -10

-5             0

0              10

5               20

10              30

15              50

20              70

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An example of the piecewise defined function is: \(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output.

A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or range.

Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

The following is the data table of the function.

x               y

-20          -20

-15           -15

-10           -10

-5              0

0              10

5              20

10              30

15              50

20             70

The provided functions that can be formed are

\(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

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Answer:

so the answer would be 10b