(2x−3)(2x−3)=left parenthesis, 2, x, minus, 3, right parenthesis, left parenthesis, 2, x, minus, 3, right parenthesis, equals

Answer:

1/10 units ^3

Step-by-step explanation:

The formula for the volume is given by

V = Bh where B is the area of the base and h is the height

V = 3/20 units ^2 * 2/3 units

   = 3/20 * 2/3

  = 1/10 units ^3

Answer: $7.65 for a dozen/12

Step-by-step explanation: 2.55 x 3

Answer:

A is 1

B is 5

Step-by-step explanation:

0 times 2 is 0 plus 1 is 1 that gives the answer to A

2 times 2 is 4 plus 1 is 5 which gives you B

The domain of the function shown in the graph is the one in option A:

6 ≤ k ≤ 11

The domain of a function y = f(x) is the set of the inputs of the function. To identify the domain in a graph, we need to look at the horizontal axis (also called the x-axis).

On the graph we can see that it starts at x = 6 with a closed dot, and it ends at x = 11 also with a closed dot.

That means that these values belong to the domain, so we can write the domain as follows:

Domain = 6 ≤ k ≤ 11

(notice that the variable in the horizontal axis is k).

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The required match of exponents is below the description with the correct solving steps in the solution part.

The product rule is an exponent rule that states that when you multiply similar bases, the add exponents.

For example, (a²)·(a³) = a²⁺³ = a⁵

1. How many times larger is 2 x 10⁻² then 3 x 10⁻⁶

Subtract by getting the same exponent to be like terms.

2. What is the difference between 2 x 10⁻² and 3 x 10⁻⁶?

Subtract coefficients and then add the exponents.

3. If you are 400 times 2 x 10⁻² away from the sun, how far are you?

Multiply by changing the number to Scientific Notation - multiply coefficients and add exponents.

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The solution to the given differential equation is L⁻¹{Y(s)} = (b³ t sin 2t) / (2 (sin bt - bt cos bt))

To solve the differential equation using the convolution theorem, we'll follow these steps:

Take the Laplace transform of both sides of the differential equation.

Use the convolution theorem to simplify the resulting expression.

Take the inverse Laplace transform to obtain the solution in the time domain.

Let's start with step 1:

Given differential equation: d²y/dt² - 4y = t cos 2t

Taking the Laplace transform of both sides, we get:

s²Y(s) - sy(0) - y'(0) - 4Y(s) = L{t cos 2t}

Where Y(s) represents the Laplace transform of y(t), y(0) is the initial condition for y(t) at t = 0, and y'(0) is the initial condition for dy/dt at t = 0.

The Laplace transform of t cos 2t can be found using the Laplace transform table:

L{t cos 2t} = -Im{d/ds[1 / (s² - (2i)²)]}

= -Im{d/ds[1 / (s² + 4)]}

= -Im{(-2s) / [(s² + 4)²]}

= 2Im{(s) / [(s² + 4)²]}

Now let's simplify the expression using the convolution theorem:

The Laplace transform of the convolution of two functions, f(t) and g(t), is given by the product of their individual Laplace transforms:

L{f * g} = F(s) G(s)

In our case, f(t) = y(t) and g(t) = 2Im{(s) / [(s² + 4)²]}.

Therefore, F(s) = Y(s) and G(s) = 2Im{(s) / [(s² + 4)²]}.

Multiplying F(s) and G(s), we get:

Y(s) G(s) = Y(s) 2Im{(s) / [(s² + 4)²]}

Now, we can rewrite the left-hand side of the equation using the convolution theorem:

Y(s) * 2Im{(s) / [(s² + 4)²]} = L{t cos 2t}

Taking the inverse Laplace transform of both sides, we have:

L⁻¹{Y(s) * 2Im{(s) / [(s² + 4)²]}} = L⁻¹{L{t cos 2t}}

Simplifying the right-hand side using the inverse Laplace transform table, we get:

L⁻¹{Y(s) * 2Im{(s) / [(s² + 4)²]}} = t sin 2t / 4

Now, we can apply the convolution theorem to the left-hand side of the equation:

L⁻¹{Y(s) * 2Im{(s) / [(s² + 4)²]}} = L⁻¹{Y(s)} * L⁻¹{2Im{(s) / [(s² + 4)²]}}

The inverse Laplace transform of 2Im{(s) / [(s² + 4)²]} can be found using the inverse Laplace transform table:

L⁻¹{2Im{(s) / [(s² + 4)²]}} = 1 / 2b³ (sin bt - bt cos bt)

Therefore, we have:

L⁻¹{Y(s)} * 1 / 2b³ (sin bt - bt cos bt) = t sin 2t / 4

From this, we can deduce the inverse Laplace transform of Y(s):

L⁻¹{Y(s)} = (t sin 2t / 4) / (1 / 2b³ (sin bt - bt cos bt))

Simplifying further:

L⁻¹{Y(s)} = (b³ t sin 2t) / (2 (sin bt - bt cos bt))

This is the solution to the given differential equation.

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Answer:

0.15

Step-by-step explanation:

6 divided by 24 equals 0.25

12 divided by 30 equals 0.4

0.4 minus 0.25 is 0.15

Answer:

130

Step-by-step explanation:

674 - 284 = 390

3 partners

390/3 = 130

There are total of 152 students in 5th grade, then the number of pencils altogether will be equal to 2,736 pencils.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Total number of students in 5th grade = 152

Amount of pencil each student have = 18

Then, the total number of pencils altogether,

= 152 × 18

= 2,736 pencils.

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There are 59049 five-digit numbers are there that do not have two consecutive digits the same.

As per the given data:
We have to determine how many five-digit numbers are there that do not have two consecutive digits the same.

The selection of numbers from 0-9 for all digits

The first digit may not be a zero.

So, the first digit has 9 choices from 1-9.

The second digit can be any of the numbers from 0-9 except the first digit.

So, the second digit also has 9 choices.

The third digit can be any of the numbers from 0-9 except the second digit.

So, the third digit also has 9 choices.

The fourth digit can be any of the numbers from 0-9 except the third digit.

So, the fourth digit also has 9 choices.

The fifth digit can be any of the numbers from 0-9 except the fourth digit.

So, the fifth digit also has 9 choices.

According to the question, all five digits have 9 choices as two consecutive digits are not the same.

So, the Number of the digit is 9 × 9 × 9 × 9 × 9 = \(9^{5}\) as shown here.

Hence, the answer is 59049 numbers.

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Answer:

One solution

Step-by-step explanation:

Let us first expand the left side of the equation to rid of the parenthesis:

\(3*12x-3*9+9=2x+4\\36x-27+9=2x+4\\36x-18=2x+4\)

Now let us isolate the variable to sove for x:

\(36x-2x=4+18\\34x=22\\x=\frac{22}{34}\\x=\frac{11}{17}\)

Therefore, x=\(\frac{11}{17}\). As you can see, there is just one solution.

I hope this helps! Please let me know if you have any further questions :)

Answer:

\(\boxed{\mathtt{Area \approx 227ft^{2}}}\)

Step-by-step explanation:

\(\textsf{We are asked to find the area of a circle.}\)

\(\textsf{First, we should identify the formula for the area of a circle.}\)

\(\large\underline{\textsf{Formula:}}\)

\(\mathtt{Area = \pi (radius)^{2}}\)

\(\textsf{The radius is \underline{half} of the diameter.}\)

\(\mathtt{\frac{17}{2} = 8.5ft.}\)

\(\textsf{Let's begin solving for the area.}\)

\(\large\underline{\textsf{Substitute:}}\)

\(\mathtt{Area = \pi (8.5)^{2}}\)

\(\mathtt{Area = 72.25 \pi}\)

\(\boxed{\mathtt{Area \approx 227ft^{2}}}\)

Answer:

A and C.

Step-by-step explanation:

A. 4/18 = 6/27     2/9 = 2/9 (Correct)

B. 4/6 = 16/36     2/3 = 4/9 (Unequal)

C. 3/4 = 9/12     3/4 = 3/4 (Correct)

D. 5/9 = 8/12     5/9 = 2/3 (Unequal)

The solution to the given system is (3,8).

Step-by-step explanation:

To draw a graph system for a linear equation,

Step 1: Consider two x values and draw a line joining the new points.

y = x + 5  ⇒1

y = 2x + 2  ⇒2

For both equations substitute two random values for x.

Let us Consider x=0 and x=10.

For equation 1,

y=x+5.                           y=x+5

y=0+5.                           y=10+5

y=5                                y=15

The new points for equation 1 are (0,5) and (10,15).

Draw a big straight line passing through these two points.

For equation 2,

y=2x+2.                         y=2x+2

y=0+2.                           y=20+2

y=2                                y=22.

The new points for equation 1 are (0,2) and (10,22).

Again, draw a big straight line passing through these two points.

Step 2: Mark the intercepting point and that will be the solution for the given system.

For this system, the solution is (3,8).

To check this answer equates both equations,

x+5=2x+2.

2x-x=5-2.

x=3.

Substitute the x value in any of the equations,

y=3+5.

y=8.

Answer:

150.72 units³

Step-by-step explanation:

The formula for solving the volume of a cylinder is:

V = pi (3.14) r² h

V = (3.14) (4) (3)

V = 150.72 units³

Answer:

x=7

2

Step-by-step explanation:

0=6 (x+1) –27

Remove the parentheses

0=6x+6 ‐27

Calculate

0=6×‐21

Move the variable to left

‐6x=21

Divide both sides

9514 1404 393

Answer:

  x = 20°

Step-by-step explanation:

Assuming parallel lines, the two angles marked with measures are complementary to each other.

  45° +(5x +35°) = 180°

  5x = 100° . . . . . . . . . . . . subtract 80° from both sides

  x = 20° . . . . . . . . divide by 5

_____

Comment on the geometry

Where a transversal crosses parallel lines, all of the obtuse angles are congruent, and all of the acute angles are congruent. Of course, the acute angles and obtuse angles are linear pairs, hence supplementary. (The only time this won't apply is when all angles are right angles.)

No lines are marked as parallel here, nor does any part of this problem statement say there are parallel lines. So, we cannot find the value of x if we're going strictly by what is shown in the diagram. In the absence of any information, we can only say that the angle marked with an x-expression must be between 0° and 180°.

 0 ≤ 5x +35 ≤ 180 ... -35 ≤ 5x ≤ 145 ... -7 ≤ x ≤ 29.

Answer:

8380 is the answer of the question

The coordinates of A'', B'' and C'' are (-1, 4), (-4, 3) and (-1, 2) respectively.

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

Given triangle has coordinates,

A(2, -2), B(5, -3) and C(2, -4).

First the triangle is translated by the rule (x, y) → (x - 1, y + 6)

A(2, -2) becomes A'(2 - 1, -2 + 6) = A'(1, 4).

B(5, -3) becomes B'(5 - 1, -3 + 6) = B'(4, 3)

C(2, -4) becomes C'(2 - 1, -4 + 6) = C'(1, 2)

Then the translated triangle is reflected across the Y axis.

When reflected a point (x, y) across the Y axis, y coordinate remains same and x coordinate flips.

A'(1, 4) becomes A''(-1, 4)

B'(4, 3) becomes B''(-4, 3)

C'(1, 2) becomes C''(-1, 2)

Hence the vertices of the triangle after undergoes translation and reflection becomes A''(-1, 4), B''(-4, 3) and C''(-1, 2).

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Answer:

90.69 Rounded to the nearest tenth is 90.7

Step-by-step explanation:

✓  Rounded to the nearest 0.1 or

the Tenths Place.

✓  Hopefully this helps you! :)

wishing you a amazing day! ･ﾟ★,｡･

-Keira <33

The type of standard score that has a mean (m) of 0 and a standard deviation (sd) of 1 is known as the Z-score.

The Z-score, also referred to as the standard score, is a statistical measure that standardizes a given value in a distribution. It indicates how many standard deviations a particular value is away from the mean of the distribution. When the mean (m) is 0 and the standard deviation (sd) is 1, the resulting Z-score is based on this standardization. The formula for calculating the Z-score is (x - m) / sd, where x represents the value being standardized. By using this formula with m = 0 and sd = 1, the Z-score provides a standardized value that allows for comparisons and analysis across different datasets with varying means and standard deviations.

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Here is the completed table that shows the purchasing habits of 1000 grocery shoppers :

                                    bought milk   bought no milk       Total

bought eggs                422                   228                     650

bought no eggs              150                  200                    350

Total                               572                428                       1000

A two-way frequency table is used to display data on the frequencies for two categorical variables.

The total number of people who bought eggs = 422 + 228 = 650

The total number of people who bought no eggs = 1000 - 650 = 350

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Answer:

not sure but I think its the second one

Answer:

it's B i believe

Step-by-step explanation:

The slope of the given line is expressed as: Slope = 2

The slope of a line is defined as a measure of its steepness. Mathematically, the line slope is calculated as "rise over run" that is (change in y divided by change in x).

The formula for slope between two coordinates is expressed as:

Slope = (y₂ - y₁)/(x₂ - x₁)

The two coordinates we will use from the graph are:

(4, 0) and (0, -8)

Thus:

Slope = (-8 - 0)/(0 - 4)

Slope = 2

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The given statement " there exists an integer b such that for all integers n > b, n^3 - 8 is prime." is proved by contradiction.

Consider the sequence of integers a_n = n^3 - 8 for n = 1, 2, 3, .... By assumption, for every integer b, there exists an integer m > b such that a_m is not prime. Let p be a prime factor of a_m. Then, p is a prime factor of a_n for all n that are multiples of m.

Consider the sequence of integers a_{km} for k = 1, 2, 3, .... By the above reasoning, each term in this sequence has a prime factor p. However, as k becomes larger, a_{km} becomes arbitrarily large, and thus the prime factor p must eventually be smaller than a_{km}. This means that there exists an integer n such that a_n has a prime factor p that is smaller than a_n itself.

But this is a contradiction, since a_n cannot have a prime factor smaller than itself. Therefore, our assumption that there does not exist an integer b such that for all integers n > b, n^3 - 8 is prime must be false. Hence, there exists an integer b such that for all integers n > b, n^3 - 8 is prime.

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Answer:

An equivalant faction would be 10/12

Step-by-step explanation:

Answer:

10/12

Step-by-step explanation:

12/6 = 2

5/6 * 2/2 = 10/12

Answer: 10/12

Answer:

4) 49 degrees

plz mark as brainliest

Answer:

the answer is no4 hope it helps u

Number 5

So for the difference of perfect squares factor with the numbers on both factors having to be the same, but one adds and one subtracts.

Answer:

Step-by-step explanation:

99