Factor by grouping (sometimes called the ac-method).
2
9x + 30x - 11
Trying to find the form and factorization

Answer:

a=180 b=180 and 914 c=180

Step-by-step explanation:

simple

Answer:

1. 11cm

2.3meters 20cm

Step-by-step explanation:

1. Avinash is 1.8m tall

Arun is 191cm tall

1.8m to cm= 180cm

Difference in their heights = (191-180)cm

=11cm.

2. Total length of 6ropes in cm= (19m×100)+20cm

=(1900+20)cm

=1920cm

Length of 1 rope = 1920cm÷6 ropes

=320cm

To meters = 320÷100

=3m20cm.

Your question is incomplete; However, a similar question is:

If B is between A and C, AB = x, BC = 2x + 2, and AC = 14, find the value of x. Then find AB and BC.

This should serve as a guide

Answer:

See Explanation

Step-by-step explanation:

Given

\(AB = x\)

\(BC = 2x + 2\)

\(AC =14\)

Required

Determine x, AB and BC.

Since B is between A and C;

\(AB + BC = AC\)

Substitute x for AB; 2x + 2 for BC and 14 for AC

\(x + 2x + 2 = 14\)

\(3x + 2 = 14\)

Collect Like Terms

\(3x = 14 - 2\)

\(3x = 12\)'

\(x = \frac{12}{3}\)

\(x = 4\)

Substitute 4 for x in

\(AB = x\)

\(BC = 2x + 2\)

\(AB = 4\)

\(BC = 2(4) + 2\)

\(BC = 8 + 2\)

\(BC = 10\)

Answer:

x is 10

Step-by-step explanation:

For a parallelogram, the sum of adjacent angles equals 180 degrees. Based on the given shape, mZBAD and <CBA are adjacent to each other

Hence mZBAD + mZCBA = 180

83 + 9x + 7 = 180

90 + 9x = 180

9x = 180-90

9x = 90

x = 90/9

x = 10

Hence the value of x is 10

Answer:

5/32

Step-by-step explanation:

This is already in its simplest form, so you don't need to do anything! Nothing is a same multiple of both 5 or 32 except 1.

Hope this helps!! Have an amazing day ❤

The Möbius function for the poset of positive integers can be calculated as: If m and n have a different number of prime divisors (2, 3, or 5), then μ(m, n) = 0.

If m and n have the same number of prime divisors, then μ(m, n) is determined by the parity of the number of distinct prime divisors shared by m and n.

The Möbius function, denoted as μ(m, n), is a function defined on the poset of positive integers. It has the following properties:

1. If m = 1 and n = 1, then μ(m, n) = 1.

2. If m ≠ 1 and n = 1, then μ(m, n) = 0.

3. If m = 1 and n ≠ 1, then μ(m, n) = 0.

4. If m ≠ 1 and n ≠ 1, then μ(m, n) is determined by the parity of the number of distinct prime divisors shared by m and n.

In the poset of positive integers with prime divisors 2, 3, and 5, the Möbius function can be calculated as follows:

- If m and n have a different number of prime divisors (2, 3, or 5), then μ(m, n) = 0.

- If m and n have the same number of prime divisors, then μ(m, n) is determined by the parity of the number of distinct prime divisors shared by m and n.

 - If the number of distinct prime divisors shared by m and n is even, then μ(m, n) = 1.

 - If the number of distinct prime divisors shared by m and n is odd, then μ(m, n) = -1.

By following these rules, you can calculate the Möbius function for the given poset and determine the values of μ(m, n) as simply as possible based on the number of shared prime divisors and their parity.

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The general formula for the total surface area of a right prism is T. S. A. =ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base.

The double number line that represents the distance and time of the bird shows the equivalent in the given values which is further illustrated in the attached diagram.

Number line is defined as the representation of numbers in suc a way that numbers at the right side of the line are positive and larger than the numbers at the left which are negative.

The double number line is defined as the type of number line that contains two labelled parallel lines that contains figures that are marked at equal increments.

From the attached diagram, the first line is labelled the distance covered by the bird which is measured in meters.

The second line is labelled the time used by the bird to cover the given distance.

The given values of both the distance and time is shown to have an equivalent ratio which appears vertically on the double number line.

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To find the volume of the square cinder block less the holes, we need to first calculate the total volume of the block and then subtract the volume of the holes. The dimensions of the block are given as 12 inches in length, 12 inches in width, and 3 inches in height.

To find the volume of the square cinder block less the holes, follow these steps:

1. Calculate the total volume of the block. Use the formula for volume of a rectangular prism: V = length × width × height. Plug in the given dimensions: V = 12 inches × 12 inches × 3 inches = 432 cubic inches.

2. Calculate the volume of one hole. Use the formula for volume of a cylinder: V = π × r² × h. Plug in the given radius and height: V = π × (1 inch)² × 3 inches ≈ 9.42 cubic inches.

3. Determine the number of holes in the block. The block has four holes, one in each corner.

4. Calculate the total volume of the holes. Multiply the volume of one hole by the number of holes: 9.42 cubic inches × 4 = 37.68 cubic inches.

5. Subtract the total volume of the holes from the total volume of the block: 432 cubic inches - 37.68 cubic inches ≈ 394.32 cubic inches.

The volume of the square cinder block less the holes is approximately 394.32 cubic inches.

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From the given relative frequency table , answer of the following questions are as follow:

a. Percentage of students those who have completed the exam review with the condition that they have passed the exam is given by 55%.

b.  Percentage of students those who have completed the exam review with the condition that they have failed the exam is given by 10%.

c. Yes, there is association between the two completing the exam review and passing the exam is only 55%.

As given in the question,

From the given relative frequency table , answer of the following questions are as follow:

Total percentage of students completing the exam review = 65%

a. Completed the exam review with the condition that they have passed the exam = 55%

b. Completed the exam review with the condition that they have failed the exam = 10%

c. Yes, there is association between the two completing the exam review and passing the exam is only 55% and those who have completing the exam review but failed are 10%.

Therefore, from the given relative frequency table , answer of the following questions are as follow:

a. Percentage of students those who have completed the exam review with the condition that they have passed the exam is given by 55%.

b.  Percentage of students those who have completed the exam review with the condition that they have failed the exam is given by 10%.

c. Yes, there is association between the two completing the exam review and passing the exam is only 55%.

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The system of equations that can be used to find the Number of large vases (g) and the number of small vases (s) are;

g + s = 15 and g = 2s - 6

Let number of large vases be g

Let number of small vases be s

Thus if there are a total of 15 small and large cases on a shelf, then;

g + s = 15 - - - (eq 1)

We are told that the number of large vases is 6 fewer than twice the number of small vases.

Thus;

g = 2s - 6 - - - (eq 2)

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The x- and y-coordinates of the center of mass are; (20, 0)

The center of mass is the location where the sum of the relative position of the masses in a mass distribution is zero. It is the point where force can be applied on the distributed mass without causing a rotation of the system.

The mas of the steel plate = 800 g = 0.8 kg

The base length of the isosceles triangular plate = 20 cm = 0.2 m

The height of the isosceles triangular plate = 30 cm = 0.3 m

Considering a small strip of height, dx and width, I, we get

Area of small strip, dA = I·dx

Density of the plate for a unit thickness, ρ = M/A

Density of the small strip of mass dm = dm/dA

Considering the density of the plate as uniform, we get;

\(\displaystyle {\frac{dm}{dA} =\frac{M}{A}\)

Therefore;

\(\displaystyle {dm=\frac{M}{A}\times dA}\)

The area of the triangular plate, A = (1/2) × 0.2 m × 0.3 m = 0.03 m²

Mass of the plate, M = 0.8 kg

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx}\)

The width of the small strip, I, located at a distance x from the vertex of the triangular plate, using similar triangles, indicates;

\(\dfrac{I}{20} = \dfrac{x}{30}\)

\(I=20\times \dfrac{x}{30} = \dfrac{2}{3} \cdot x\)

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx} = \frac{0.8}{0.03}\times \dfrac{2}{3} \cdot x\cdot dx}\)

The center of mass, \(x_{cm}\), can be obtained with the formula; \(\displaystyle {x_{cm} = \dfrac{1}{M} \cdot \int\limits {x} \, dm }\)

Therefore; \(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx }\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx } = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0\)

\(\displaystyle {x_{cm} = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0=\frac{200}{9} \times \frac{0.027}{3} =0.2\)

The location of the x-coordinate center of mass, \(x_{cm}\) = 0.2 m = 20 cm from the vertex, which is the same location as the x-coordinate of the centroid of the plate of uniform density.

The plate is symmetrical about the x-axis, therefore, the y-coordinate of the center of mass is along the x-axis, which is \(y_{cm}\) = 0

The coordinate of the center of mass = (0.2, 0)

Part of the question requires the location of the coordinate of the center of mass of the triangular plate

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its a fraction which is not in the answer choice

Answer:

(0, -4)

Step-by-step explanation:

We can just substitute the y's like this: 2x - 4 = -2x - 4

Move like terms to one side by adding 2x to both sides

2x - 4 = -2x - 4

+ 2x      + 2x

4x - 4 = - 4

Add 4 to both sides

4x - 4 = - 4

    + 4   + 4

4x = 0

Divide both sides by 4

4x/4 = 0/4

x = 0

Plug in the new x into one of the original equations

y = 2(0) - 4

y = 0 - 4

y = - 4

Answer: 0523 i think this the answer i don't know

Step-by-step explanation:

The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.

Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:

= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3

= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]

= (1/3) × [(9/2 + 6) - 0]

= (1/3) × (21/2)

= 7/2

Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

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By using conversion factor the solution for 3 c ≈ 709.78mL.

What is conversion factor?

A conversion factor is a ratio that is used to convert one unit of measurement to another. It is a mathematical expression that relates two different units of measure for the same quantity. By using conversion factors, we can easily convert between different units and make calculations and comparisons more convenient and meaningful.

The conversion factor between 3 c (cups) and mL (milliliters) is approximately 709.76, which means that 3 cups is approximately equal to 709.76 milliliters.

To convert from cups to milliliters, you can multiply the number of cups by the conversion factor:

3 cups x 236.59 mL/cup ≈ 709.76 mL

Rounding to the nearest hundredth, we get:

3 cups x 236.59 mL/cup ≈ 709.78 mL

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Answer:

look at the photo

...................................

The problem you're asking about is to create an algorithm that computes x^n, given a real number x and an integer n, in O(log n) time complexity. The solution to this problem is the "Exponentiation by Squaring" algorithm.

Here's a concise explanation of the algorithm in 150 words:

Exponentiation by Squaring is an efficient algorithm that calculates x^n using a divide and conquer approach, which takes advantage of the fact that x^n = (x^2)^(n/2) if n is even, and x^n = x * x^(n-1) if n is odd. The algorithm computes the result recursively or iteratively, and its time complexity is O(log n), making it efficient for large exponents.

To handle negative exponents, we can use the property x^(-n) = 1 / x^n. So, if the given exponent n is negative, we can calculate the reciprocal of x and use the positive value of n in the algorithm. For the base case, when n = 0, the result is always 1, since any non-zero number raised to the power of 0 equals 1.

By using Exponentiation by Squaring, we can quickly compute x^n for any real number x and any positive or negative integer n, in O(log n) time.

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Answer:

y= x + 3

Step-by-step explanation:

we know that

The linear equation in slope-intercept form is equal to

y= mx + b

where

m is the slope

b is the y-intercept

step 1:

Find the slope

Take two points from the graph

see the attached figure

about (37,40) and (47,50)

The formula to calculate the slope between two points is equal to: y2-y1

                                                                                                               x2-x1              

substitute

M= 50-40/47-37

10/10 = 1

step 2:

Find the y-intercept

we have: m=1

point (37,40)

substitute in the linear equation: 40= (1) (37) + b

solve for b: 3

therefore

The linear equation is: y = x + 3

Answer:

\(d=15\)

Step-by-step explanation:

From the question we are told that

Two points

\(x=(2,-1)\\y=(-3,2)\)

Generally distance formula is mathematically given by

\(d=\sqrt{(x1-x2)^2(y2-y1)^2}\)

\(d=\sqrt{(2-(-3))^2((-1)-(2))^2}\)

\(d=15\)

Answer:

All Real Numbers

Step-by-step explanation:

The graph of y=sin (θ) is like a wave that forever oscillates between -1 and 1, in a shape that repeats itself every 2π units. Specifically, this means that the domain of sin (θ) is all real numbers, and the range is [-1,1].

See graph below.

The correct answer is B) Her sample is 38, 68, 35, 02, 22. This is because the scientist is selecting a random sample of 5 forest sites from a population of 45 without replacement. She is using consecutive pairs of digits from the table of random digits to select her sample.

Starting at the beginning of the line of random digits, the first pair is 38, which corresponds to forest site 38. The second pair is 68, which corresponds to forest site 68. The third pair is 35, which corresponds to forest site 35. The fourth pair is 02, which corresponds to forest site 02. And the fifth pair is 22, which corresponds to forest site 22.
Now, let's select a random sample of 5 forest sites without replacement:
1) 38
2) 35
3) 02
4) 22
5) 24
Thus, the correct answer is not listed in the given options. However, based on the consecutive pairs of digits and following the process mentioned, the sample should be 38, 35, 02, 22, and 24.

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Answer:

1. Volume = 1,323

2. Area = 866.64

Step-by-step explanation:

Volume of Prism = Area of base×height

First find the volume of the rectangular prism:

Volume of Rectangular Prism= w*h*l = (9)(14)(8) = 1,008

w = width = 14

h = height = 8

l = length = 9

Second find the volume of the triangular prism:

Volume of Triangular Prism= 1/2(b*h*l) = 1/2(5*14*9) = 1/2(630) = 315

b = base = 14

h = height = 5

l = length = 9

Now we just add the two volumes together

1,008 + 315 = 1323

Volume = 1,323

Now for the second figure, it is a capsule, to find the total surface area, we use the formula: A = 4πr² + 2πrh

a = 4 × 3.14 × 6² + 2 × 3.14 × 6 × 11

Multiply 4 and 3.14 to get 12.56

a = 12.56 × 6² + 2 × 3.14 × 6 × 11

Calculate 6 to the power of 2 and get 36

a = 12.56 × 36 + 2 × 3.14 × 6 × 11

Multiply 12.56 and 36 to get 452.16

a = 452.16 + 2 × 3.14 × 6 × 11

Multiply 2 and 3.14 to get 6.28

a = 452.16 + 6.28 × 6 × 11

Multiply 6.28 and 6 to get 37.68

a = 452.16 + 37.68 × 11

Multiply 37.68 and 11 to get 414.48

a = 452.16 + 414.48

Add 452.16 and 414.48 to get 866.64

Area = 866.64

YES, the absolute value of an integral is always less than the integral of the absolute value for Lebesgue integrals.

An integral is like a sum, but fancier. So look at a sum 1+(-5)+2+(-3)=-5. Take the absolute value, |1+(-5)+2+(-3)|=5. But, if you take the absolute value of the individual terms and then add them, you get |1|+|-5|+|2|+|-3|=1+5+2+3=11. 11>5

The reason is that when you add them all up and then take the absolute value, the positive and negative terms of the sum get to cancel each other out and make the absolute value of the sum greater overall. When you take the absolute value of individual terms, you force them all to "point in the same direction" (positive) so they are working together and the sum gets higher.

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Answer:

\( - 4 {x}^{2} - 11x + 13\)

Step-by-step explanation:

\(( - {x}^{2} + 9) + ( - 3 {x}^{2} - 11x + 4)\)

\( - {x}^{2} + 9 - 3 {x}^{2} - 11x + 4\)

\( - 4 {x}^{2} - 11x + 13\)

The sum of the polynomials is,

⇒ - 4x² - 11x + 13

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

The expression is,

⇒ (-x² + 9) + (-3x² - 11x + 4)

Now, We can add the polynomials as;

⇒ (-x² + 9) + (-3x² - 11x + 4)

⇒ -x² + 9 -3x² - 11x + 4

⇒ - 4x² - 11x + 13

Thus, The sum of the polynomials is,

⇒ - 4x² - 11x + 13

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One tablespoon is approximately equal to 14.79 grams.

One tablespoon is a unit of volume that is commonly used in cooking and baking recipes. It is important to know how to convert tablespoons to grams, especially when using recipes from different countries that use different units of measurement.

The conversion from tablespoons to grams can vary depending on the substance being measured. This is because different substances have different densities and therefore, different amounts of mass for the same volume.

However, for many substances, including sugar, flour, and butter, This means that if a recipe calls for 1 tablespoon of sugar, for example, you can use 14.79 grams of sugar instead.

It is important to be precise when converting tablespoons to grams, as small variations in the amount of ingredients can have a big impact on the final outcome of a recipe.

To ensure accurate measurements, it is recommended to use a kitchen scale to measure the mass of ingredients in grams, rather than relying on volume measurements in tablespoons.

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