plz help will give crown

The factorized form of \(x^3 - (y - z)^3\ is \ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)

The Factorization is derived from the application of a mathematical identity. As an AI language model, the information provided is generated based on existing knowledge and formulas.

The given expression is \(x^3 - (y - z)^3.\)To factorize it,  the difference of cubes, which states that a^3 - b^3 can be factorized as\((a - b)(a^2 + ab + b^2).\)

Applying this identity to our expression, we have:

\(x^3 - (y - z)^3 = (x - (y - z))((x - (y - z))^2 + (x - (y - z))(y - z) + (y - z)^2)\)

Simplifying further, we get:

\(= (x - y + z)(x^2 - 2xy + 2xz - y^2 + 2yz - z^2 + xy - y^2 + yz - z^2 + y^2 - 2yz + z^2)\\= (x - y + z)(x^2 - 2xy + xy + 2xz + yz - 2yz - y^2 + y^2 - y^2 + 2yz - 2z^2 + y^2 - z^2 + z^2)\\= (x - y + z)(x^2 - xy + 2xz + yz - 2z^2)\)

So, the factorized form of \(x^3 - (y - z)^3 \ is\ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)

the above factorization is derived from the application of a mathematical identity.

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Answer:

$99

Step-by-step explanation:

10% of 110 is 11

110 - 11

99

Answer:

$99

Step-by-step explanation:

First do

10% of 110

Which is 11

Then do

110-11

Which is 99

So the answer is $99

The surface area of the solid is 281 ft².

Given that, a solid figure made of a rectangular prism and a square pyramid,

We need to find its surface area,

To find the same, we will find the lateral surface area of square pyramid, and total surface area of rectangular prism,

So,

Surface area = 2×side×slant height + 2(length·width+width·height+height·length)-base area of the square pyramid,

= 2×5×5 + 2(4·12+12·5+4·5)-5²

= 50+256-25

= 281 ft²

Hence the surface area of the solid is 281 ft².

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According to the information, Holly will need approximately 12031.615 cubic feet of wood to complete the herb garden.

To calculate the amount of wood that Holly will need to complete the project we have to find the height of the hexagonal prism, which we can do using the volume and area of the base:

Now we can find the total surface area of the hexagonal prism, which we can then use to calculate the amount of wood needed:

Since the wood will cover both the base and sides of the hexagonal prism, we can simply multiply the total surface area by the thickness of the wood to get the amount of wood needed:

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Answer:

• 7x+6=5(X+6)

Step-by-step explanation:

Let x represent Harry's age now, and Nick's age now is 7x. [t]

In 6 years, Harry is x + 6 , and it is given that Nick's age will be 5(x+6). [t+6]

Combining [t] and [t+6], 7x + 6 = 5(x+6).

So the formula 7x + 6 = 5(x+6) represents the problem.

And x = 12 , so Harry's age in 6 years will be x +6 or 18 years .

hope this helped, happy learning

Answer:82

Step-by-step explanation:

In general, nCr = n! / r! (n-r)!

Here, 7C3 = 7! / 3!(7-3)!

=7 x 6 x 5 x 4 x 3 x 2 x 1 /3 x 2 x 1 ( 4 x 3 x 2 x 1)

=7x6x5x4 / 4x3x2

=7x5x6x4 / 24

=35x24 / 24

=35

Answer:

when it asks for an expression it means an equation

ex.) 2x+3 =5

Step-by-step explanation:

Answer:

Answer 1008

Step-by-step explanation:

Answer:

Step-by-step explanation:

2(2x-5)=3x+x-2x

4x-10=3x+x-2x

4x-10=2x

4x-10+10=2x+10

4x=2x+10

2x=10

2/2

10/2=5

x=5

The solution to the equation 2(2x-5) = 3x + x - 2x is x = 5

Given data:

To solve the equation 2(2x - 5) = 3x + x - 2x, we will simplify and solve for x.

Step 1: Distribute the 2 to the terms inside the parentheses:

4x - 10 = 3x + x - 2x

Step 2: Combine like terms on both sides of the equation:

4x - 10 = 2x

Step 3: Subtract 2x from both sides to isolate the variable x:

4x - 2x - 10 = 0

Simplifying:

2x - 10 = 0

Step 4: Add 10 to both sides to eliminate the -10 term on the left side:

2x - 10 + 10 = 0 + 10

Simplifying:

2x = 10

Step 5: Divide both sides by 2 to solve for x:

(2x)/2 = 10/2

Simplifying:

x = 5

Hence, the solution is x = 5.

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The square of a binomial, when the binomials are subtracted, is defined as follows:

(a - b)² = a² - 2ab + b².

When the two binomials are added, the square is given as follows:

(a + b)².

Expanding the square, we have that:

(a + b)² = (a + b) x (a + b).

(a + b)² = a² + ab + ab + b².

(a + b)² = a² + 2ab + b².

Which is the result presented in this problem.

Now, when the binomial has a minus sign, involving a subtraction, the pattern is obtained as follows:

(a - b)² = (a - b) x (a - b).

(a - b)² = a² - ab - ab + b².

(a - b)² = a² - 2ab + b².

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As a result, it is discovered that the answer to the given function problem is slant sample points of y = x -4.

Mathematical studies cover the areas and prospective applications of geometry as well as numbers and their variants, equations, and related structures. A group of inputs that collectively produce a similar result is referred to as a "function." Each input contributes to a single, distinguishable consequence in an output-input connection known as a function. Each activity has a scope, which is also known as a region or city or municipality. Commonly, functions are denoted by the letter f. (x). The origin is X. Across operations, one-to-one action, many-to-one activity, on activity, and on

Here,

Every one of the three asymptotes can be used to construct a rational function because rational functions can take any form.

This is depicted in both the linked graph and the graph of the function f(x that serves as a representation. The function's asymptotes are as follows.

The asymptotes for the vertical slope are x = -4,

The horizontal asymptotes are Y = 0 and.

Slant has an asymptote of Y = x -4.

An exponential function is used in our example function. That isn't generally perceived of as a polynomial, but it may be expressed as an endless degree polynomial. A rational function is typically described in publications as the percentage of polynomials.

As a consequence, the solution to the given function problem is slant sampling points, which are y.

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Answer:

there isnt a question... what do you need help with?

Answer:

.-. >_>

Step-by-step explanation:

Answer:

a. (x+5)^2 = 49

b. (x+7)^2 = (x+1)^2

Step-by-step explanation:

So the term "a number" is always going to be x. input x into the sentences. "X plus five, then squared, is forty-nine". when they do "is __", that means equal to. In the second question, seven more than x is x + 7 (the two numbers are interchangeable here). Equivalent also means equal. hope this helped :)

Answer:

a: x + 5^2 = 49

b: 7>x^2=(put three lines not two) (1>x)^2

Step-by-step explanation:

Answer:

The two angles that are directly across the intersection point from each other are called vertical angles. Vertical angles are always congruent.

Step-by-step explanation:

brainliest???

Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.

Vertical angles are angles opposite to each other where two lines cross.

When two lines intersect, they naturally form two pairs of vertical angles. Vertical angles share the same vertex or corner, and are opposite each other.

These pair of angles are congruent which means they have the same angle measure.

Hence, Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.

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Answer:

46 boxes

Step-by-step explanation:

1012 / 22 = 46

Answer:

5000 km

Step-by-step explanation:

We are given that

3 cm represents on a map of  a town=150 m

Distance between two points=1 km

We have to find the distance between two points on the map.

3 cm represents on a map of  a town=150 m

1 cm represents on a map of  a town=150/3 m

1 km=1000 m

1 m=100 cm

\(1km=1000\times 100=100000 cm\)

100000 cm  represents on a map of  a town

=\(\frac{150}{3}\times 100000\) m

100000 cm  represents on a map of  a town=5000000 m

100000 cm  represents on a map of  a town

=\(\frac{5000000}{1000} km\)

100000 cm  represents on a map of  a town=5000 km

Hence, two points are separated by 5000 km on the map.

The surface area of the rectangular prism is 72 square meters.

A rectangular prism, also known as a rectangular parallelepiped, is a three-dimensional figure that consists of six rectangular faces. It is a polyhedron with two identical and parallel bases, which are rectangles, and four rectangular lateral faces. The height of the prism is the perpendicular distance between the two bases. The volume of a rectangular prism is given by the formula V = l × w × h, where l, w, and h are the length, width, and height of the prism, respectively. The surface area of a rectangular prism is given by the formula SA = 2lw + 2lh + 2wh, where l, w, and h have the same meanings as in the volume formula. Rectangular prisms are commonly encountered in everyday life, such as in the shape of boxes, rooms, and buildings.

The surface area of a rectangular prism can be found by adding up the area of all its faces.

Area of blue rectangles:

= 2 x (length x width)

= 2 x (2.4m x 2m)

= 9.6m²

Area of green rectangles:

= 2 x (length x width)

= 2 x (2.4m x 3m)

= 14.4m²

Area of yellow rectangles:

= 2 x (length x width)

= 2 x (2m x 3m)

= 12m²

Total surface area = sum of all face areas

= (2 x blue rectangles) + (2 x green rectangles) + (2 x yellow rectangles)

= 2(9.6m²) + 2(14.4m²) + 2(12m²)

= 19.2m² + 28.8m² + 24m²

= 72m²

Therefore, the surface area of the rectangular prism is 72 square meters.

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The probability that the next bolt found would be non-defective is 0.98 or 98%.

A fundamental idea in mathematics and statistics, probability theory has several uses in the sciences, engineering, business, and social sciences. It is used to assess risks and uncertainties in diverse circumstances, analyse and forecast the possibility of events happening, and make decisions in the face of uncertainty.

Given:

Number of bolts already examined = 600

Number of defective bolts found = 12

Number of non-defective bolts = Total number of bolts examined - Number of defective bolts

= 600 - 12

= 588

Probability of finding a non-defective bolt = Number of non-defective bolts / Total number of bolts

= 588 / 600

= 0.98 or 98%

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The answer is (76.42 ; 78.17)

Given that:

A botanist is attempting to determine how many seeds are typically present in a particular fruit. She collects 65 samples and counts how many seeds are present in each. Using her sample data, the mean is 77.3 and the SD is 5.5.

Sample size, n = 65

Mean, xbar = 77.3

Standard deviation, s = 5.5

Confidence level, Zcritical at 80% = 1.28

Confidence interval :

Xbar ± Margin of error

Margin of Error = Zcritical * s/sqrt(n)

Margin of Error = 1.28 * 5.5/sqrt(65)

Margin of Error =0.873

Lower boundary = 77.3 - 0.873 =76.42

Upper boundary = 77.3  + 0.873 = 78.17

Therefore, the answer is (76.42 ; 78.17)

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*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: x=11

Explanation: See below!

I hope this helped!

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- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

Step-by-step explanation:

\(\sqrt{x - 2} + 8 = x\\ \sqrt{x - 2} = x - 8\\x - 2 = (x - 8)^2\\x - 2 = x^2 - 16x + 64\\x^2 - 17x + 66 = 0\\(x^2 - 11x) - (6x - 66) = 0\\x(x - 11) - 6(x - 11) = 0\\(x - 6)(x - 11) = 0\\x - 6 = 6 >> x = 6\\x - 11 = 0 >> x = 11\)

Solution

Substituting t = 190 in y

Answer:

Step-by-step explanation:

x-intercept is where the line cuts the x-axis. That is, when y=0.

Substitute y=0 and we get:

       \(0=\frac{1}{3} x-1\)

       \(1=\frac{1}{3} x\)

       \(x=3\)

So x-intercept is the point (3,0).

Answer:

πr^2 h

π(11)^2 (15)

= 1815π or = 5701

Answer:

SOHCAHTOA

SOH=sine is opposite over hypotenus

CAH=cosine is adjacent over hypotenus

TOA=tanget is opposite over adjucent

Answer:

Probably SOHCAHTOA

Step-by-step explanation:

SOH - S = SINE O = OPPOSITE H = HYPOTENUSE. So it would be sine = opposite / hypotenuse

CAH - C = COSINE A = ADJACENT H = HYPOTENUSE. soi it would be cosine = adjacent / hypotenuse

TOA - T = TANGENT O = OPPOSITE A = ADJACENT. So it would be tangent = opposite / adjacent

Thus, the scale factor from circle A to circle B is found to be 2.

The ratio between comparable measurements of just an element and a portrayal of that element is known as a scale factor in mathematics. The copy will be larger if the scaling factor is a whole number. A fractional scaling factor means that the duplicate will be smaller.

You must first choose which direction we are scaling in order to determine the scale factor:

The radius of circle A = 2 units

The radius of circle B = 4 units.

So, there is a dilation with the scale factor of 2 units as 2*2 = 4 units.

Thus, the scale factor from circle A to circle B is found to be 2.

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The mean of the sampling distribution is given as follows:

37.827 millimeters.

The mean of the sampling distribution is obtained using the Central Limit Theorem.

The mean of the sampling distribution is the same as the population mean, hence it is given as follows:

37.827 millimeters.

(on the problem, we are given the population mean).

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