Which expression is equivalent to ( 4 1/3)^3 ?

Answer:

scalene triangle i guess the spelling is wrong

Step-by-step explanation:

Answer:

Scalene triangle

Step-by-step explanation:

This is the correct spelling lol

Answer:

To calculate the surface area and volume of a cylinder, we can use the following formulas:

a) Surface Area of a Cylinder:

The surface area of a cylinder consists of two circles (top and bottom) and the curved surface area.

The formula for the surface area of a cylinder is:

SA = 2πr² + 2πrh

Where:

SA = Surface Area

r = Radius of the base (half the diameter)

h = Height of the cylinder

Given that the diameter is 16 yards, the radius is half of that, so r = 8 yards. The height is 20 yards.

Substituting the values into the formula, we get:

SA = 2π(8)² + 2π(8)(20)

= 2π(64) + 2π(160)

= 128π + 320π

= 448π

So, the surface area of the cylinder is 448π square yards.

b) Volume of a Cylinder:

The formula for the volume of a cylinder is:

V = πr²h

Using the same values for the radius (r = 8 yards) and height (h = 20 yards), we can calculate the volume:

V = π(8)²(20)

= 64π(20)

= 1280π

The volume of the cylinder is 1280π cubic yards.

The sοlutiοn οf the given prοblem οf area cοmes οut tο be the cοmpοsite shape in the picture has a surface area οf 96 square centimetres.

Its tοtal size can be determined by figuring οut hοw much rοοm wοuld be required tο cοmpletely cοver the οutside. The surrοundings have alsο been taken intο cοnsideratiοn when calculating the surface οf a trapezοidal shape. The tοtal measurements οf sοmething are determined by its surface area. Hοw many edges there are between a cubοid's fοur trapezοidal ends indicates hοw much water it can cοntain in its interiοr.

Here,

Let's start by listing each separate surface that cοntributes tο the cοmpοsite shape. There are twο triangles and fοur squares.

We can use the fοllοwing methοd tο determine the area οf each rectangle:

=> Length = 5 centimetre, width = 4 cm, sο area = 5 cm x 4 cm = 20 cm² fοr rectangle 1.

=> Rectangle 2 has a surface area οf 20 cm² because its length is 5 cm and width is 4 centimetres.

=> Rectangle 3 has a 6 centimetre length and a 4 cm width,

=> area =  6 cm x 4 cm, οr 24 cm².

=> Rectangle 4 has a 6 centimetre length and a 4 cm width, sο

=> area =  6 cm x 4 cm, οr 24 cm².

The fοllοwing algοrithm can be used tο determine each triangle's area:

=> area =  (Base × Height) / 2

Area οf Triangle 1 :  (2 cm x 4 cm) / 2 = 4 cm²

Area οf Triangle 2: (2 centimetre x 4 cm) / 2 = 4 cm²

Tοtal Surface Space equals 96 cm² (20 cm², 20 cm², 24 cm², 24 cm², 4 cm², 4 cm²)

Cοnsequently, the cοmpοsite shape in the picture has a surface area οf 96 square centimetres.

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Answer:

\(m=-1\)

Step-by-step explanation:

\(x+y=4\)

\(m=-1\)

so the slope is \(m=-1\)

Richard's net pay for the week, considering Social Security, Medicare, and FIT deductions, can be calculated by subtracting the total deductions from his gross earnings.

First, let's determine the amount deducted for Social Security. The Social Security rate is 6.2%, and the maximum earnings subject to this deduction are $118,500. Since Richard is $1,000 below the maximum level, the amount subject to Social Security deduction is $1,000. Therefore, the Social Security deduction is 6.2% of $1,000.

Next, we calculate the Medicare deduction. The Medicare rate is 1.45%, and it is applied to the entire earnings of $1,700.

To calculate the FIT deduction, we need additional information about Richard's taxable income, tax brackets, and exemptions. Without this information, we cannot provide an accurate calculation for the FIT deduction.

Finally, we subtract the total deductions (Social Security, Medicare, and FIT) from Richard's gross earnings of $1,700 to obtain his net pay for the week.

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Answer:

5 for $9

Step-by-step explanation:

2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).

To prove that the expression 2n^3 + 3n + 10 is in the set Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3), we need to show that the expression can be written in the form a(n^3) for some constant "a".

Let's start by factoring out the common factor of n^3 from each term:

2n^3 + 3n + 10 = n^3(2 + 3/n^2 + 10/n^3)

Now, let's rewrite the expression as a single term multiplied by n^3:

2n^3 + 3n + 10 = (2 + 3/n^2 + 10/n^3)n^3

Simplifying the expression inside the parentheses:

= (2n^3 + 3n^2 + 10n^3)/n^3

= (12n^3 + 3n^2)/n^3

= 12 + 3/n

ow, we can see that the expression can be written in the form a(n^3), where a = 12 and n^3 = 3/n.

Therefore, we have shown that 2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).

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By using the Taylor series expansion for cosine function, we can find the first four nonzero terms of an infinite series that is equal to cos(2). The expansion involves terms up to the fourth degree power of 2.

The Taylor series expansion for the cosine function is given by:

cos(x) = 1 - (x^2)/2! + (x^4)/4! - (x^6)/6! + ...

To find the first four nonzero terms of an infinite series that is equal to cos(2), we substitute x = 2 into the expansion:

cos(2) = 1 - (2^2)/2! + (2^4)/4! - (2^6)/6! + ...

Step 1: Calculate the values of the terms:

The first term is 1.

The second term is (2^2)/2! = 4/2 = 2.

The third term is (2^4)/4! = 16/24 = 2/3.

The fourth term is (2^6)/6! = 64/720 = 2/45.

Step 2: Write the series using the calculated terms:

cos(2) = 1 - 2 + 2/3 - 2/45 + ...

Therefore, the first four nonzero terms of the infinite series that is equal to cos(2) are 1, -2, 2/3, and -2/45 + ...

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Answer:

4.7

Step-by-step explanation:

Answer: 69

Step-by-step explanation:

First, you add the 34 with the 35.

You can check your answer by subtracting the answer 69 with 35 and if the answer comes out as 34 it is correct.

Answer: 69 lol

Step-by-step explanation: i got it by adding 34 + 35 lol

Answer:

Blank 1: 2

Blank 2: 7

Step-by-step explanation:

We can see that the starting value is 2, and the ratio is 7

Answer:

6 quarts

Step-by-step explanation:

2 pints = 1 quart

4 cups = 1 quart

• 5 pints of orange juice

5 pints = 5/2 =>2.5 quarts

• 6 cups of grape juice

6 cups = 6/4 => 1.5 quarts

• 8 cups of apple juice

8 cups = 2 quarts

2.5 + 1.5 + 2 = 6 quarts

It makes sense that 0 is the domain of y = √x because the square root of any number can never be negative, and 0 is the smallest positive number. Therefore, any values of x less than 0 would result in an undefined answer.

we are asked to determine the surface area of the figure. To do that we need to find the areas of each face and add them together. The front face is a trapezoid, and its area is:

Where "b" is the upper base, "B" is the lower base and "h" is the height. Replacing the values:

Solving the operations:

the upper face is a rectangle, its area is the product of its side:

The area of the lower face is also a rectangle, therefore its area is:

The side face is also a rectangle, and its area is:

Now we add the areas having into account that the front and side faces repeat themselves. the total surface area is:

replacing the values:

Solving the operations:

Therefore, the surface area is 286 square feet.

Answer: Derivative of f(x) =3x+5=3

Step-by-step explanation:

By the Sum Rule, the derivative of 3x+5 with respect to x is d/dx[3x]+d/dx[5]

d/dx[3x]+d/dx[5]

evaluate:  d/dx[3x]

Since 3 is constant with respect to x, the derivative of 3x with respect to x is 3d/dx[x].

3d/dx[x]+d/dx[5]

Differentiate using the power rule

which states that d/dx[\(x^{n}\)] is \(nx^{n-1}\)    where n=1.

3⋅1+d/dx[5]

Multiply 3 by 1.

3+d/dx[5]

Differentiate using the Constant Rule.

Since 5 is constant with respect to x, the derivative of 5 with respect to x is 0.

3+0

Add 3 and 0 = 3

So, derivative of f(x) =3x+5=3

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Answer:

67-32=a

if his mom is 67 and he is 32 years younger 67 minus 32 would equal a which is his age

hi, ansewer the question

Answer: El dominio es el conjunto de números reales. En forma de intervalo, el dominio de f es (−∞, ∞). Identifica los valores de entrada. / The domain is the set of real numbers. In interval form, the domain of f is (−∞,∞). Identify the input values.

Step-by-step explanation: Used my sheet.

Answer:

1

Step-by-step explanation:

3x9 is 27, so you have to find the two phrases that make 2 numbers that equal 27. You already have one number(2x9=18). To check what other number you need, subtract 18 from 27(27-18=9). And then 1x9 is 9 so 1 is your answer

The only solution for the coefficients is when they are all equal to zero, this shows that the set {u + v + w, v + w, w} is also linearly independent.

To show that if {u, v, w} is a linearly independent set of vectors in a vector space V, then {u + v + w, v + w, w} is also linearly independent, we can use the definition of linear independence. A set of vectors is linearly independent if the only linear combination that gives the zero vector is the one with all coefficients equal to zero.
Let's consider a linear combination of the new set of vectors:
a(u + v + w) + b(v + w) + c(w) = 0
Expanding this equation, we get:
au + av + aw + bv + bw + cw = 0
Now, let's group the terms:
(au + av + aw) + (bv + bw) + cw = 0
By factoring out the common terms, we can rewrite the equation as:
(a + b + c)u + (a + b)v + (a + b + c)w = 0
Since {u, v, w} is linearly independent, we know that the only solution for this equation is when a + b + c = 0, a + b = 0, and a + b + c = 0. Solving this system of equations, we find that a = 0, b = 0, and c = 0.
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Answer: 75x^2-3 can be factored as (25x)^2 - 3 . The expression can be factored by taking the square root of the constant term and then using difference of squares.

In this case, the square root of -3 is not a real number, so it's not possible to factor it further.

So the final factored form of 75x^2-3 is (25x)^2 - 3.

Answer:

Step-by-step explanation:

75x^2-3 cannot be factored using integer numbers since it's a difference of squares. The expression 75x^2-3 is a binomial, not a trinomial. The difference of squares is a factoring pattern where you have a squared binomial subtracted from a constant.

75x^2-3 = 75x^2 -3x^2 = 72x^2 -3x^2 = (75-3)x^2 = 72x^2

So the factorization of 75x^2-3 is just 72x^2

Answer:

The volume of Cone B is twice the volume of Cone A.

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h  where r is the radius and h is the height.

Cone A

d = diameter

r = radius

h = height

V = 1/3 pi r^2 h

Cone B

The diameter is double the diameter of A.

2d  so the radius is 2r

The height is half the height of A.

1/2 h

Substitute into the equation for volume.

V = 1/3 pi ( 2r)^2 (1/2 h)

V = 1/3 pi (4r^2) (1/2h)

V = 1/3 pi 2r^2 h

The volume of Cone B is twice the volume of Cone A.

Answer:

Cone B has a greater volume.

Step-by-step explanation:

Cone B has the greatest volume.

The volume of a cone is calculated using the following formula:

\(\boxed{\bold{\tt{Volume\: of\:cone = \frac{1}{3}\pi*r^2h}}}\)

where:

For Cone A.

\(\boxed{\bold{\tt{Volume\: of\:cone\: (A)= \frac{1}{3}\pi*r^2h}}}\)

For Cone B

In this case, the radius of Cone B is double the radius of Cone A, and the height of Cone B is half the height of Cone A. This means:

radius(r)=2r

height(h)= \(\tt{\frac{1}{2}*\frac{h}{2}}\)

\(\boxed{\bold{\tt{Volume\: of\:cone\: (B)= \frac{1}{3}\pi*(2r)^2*\frac{h}{2}}}}\)

\(\boxed{\bold{\tt{Volume \: of\:cone (B)= 2*\frac{1}{3}\pi*r^2h}}}\)

\(\boxed{\bold{\tt{Volume(B) =2*Volume\: of\:cone(A)}}}\)

Since the volume of cone B is twice the volume of Cone A.

Therefore, Cone B has a greater volume.

Signal a) is not absolutely band-limited and so, its Nyquist sampling rate cannot be determined. Signal b) is absolutely band-limited with an absolute bandwidth of B Hz, and its Nyquist sampling rate is 2B.

Let x(l) be a band-limited signal with absolute bandwidth B Hz. For each of the signals below, we need to determine whether the signal is absolutely band-limited, and if so, express the Nyquist sampling rate for the signal in terms of B.

a) x(0) + x(t - 1)dx(t)dt:For this signal, let us apply the Fourier transform. The Fourier transform of the first term is 2πX(ω)δ(ω), and that of the second term is e^(-jω)X(ω).

Thus, X(ω) = 2πX(ω)δ(ω) + e^(-jω)X(ω)On rearranging this expression, we get: X(ω) = [1 / (1 - 2πδ(ω))]e^(-jω)Therefore, the signal is not absolutely band-limited because it has components at all frequencies.

Hence, the Nyquist sampling rate cannot be determined.b) x:For this signal, let us consider its Fourier transform. Its Fourier transform will be a scaled version of the Dirac comb function, centered at ω = 0, with a spacing of 2π. Hence, X(ω) = 2πBδ(ω).

The signal is absolutely band-limited with absolute bandwidth B Hz, and hence, the Nyquist sampling rate will be 2B. The Nyquist sampling rate is twice the absolute bandwidth, and so, the sampling rate for this signal will be 2B Hz.

Thus, the answer to the question is as follows:Signal a) is not absolutely band-limited and so, its Nyquist sampling rate cannot be determined. Signal b) is absolutely band-limited with an absolute bandwidth of B Hz, and its Nyquist sampling rate is 2B.

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Answer:

See details below:

Step-by-step explanation:

We can start with the biggest factors and work our way down to see how arrive at 4 * 25.

In this case, the first part of the tree would be 50 * 2.

2 is prime, but 50 is not and thus must be factored.

Two possible factors of 50 are 2 and 25.

The 25 is not a prime number and must be factored further.

Two possible factors of 25 are 5 and 5.

Thus, the prime factorization of 100 is 2*2*5*5.

Then to simplify, we can combine the similar factors:  (2*2) * (5*5) = 4*25

I hope this makes sense

Step-by-step explanation:

Given:

7p - 6pc + 3c - 2

Find:

Number of terms

Coefficients

Constant terms

Computation:

Number of terms = 4

Coefficients = (7, -6, 3)

Constant terms = -2

Dilations involve scaling the figure uniformly along a given center and factor. This process results in an enlarged or reduced version of the original figure, while maintaining the same proportions and shape.

A dilation is a type of geometric transformation that alters the size or shape of a figure while preserving its proportions. It involves scaling the figure uniformly in all directions from a specific center of dilation. The scaling factor determines whether the figure will be enlarged or reduced.

When dilating a figure, each point is moved along a line that passes through the center of dilation. The distance between the original point and the center is multiplied by the scaling factor to determine the new position of the point. If the scaling factor is greater than 1, the figure will be enlarged, while a scaling factor between 0 and 1 will result in a reduction.

The center of dilation can be any point on the plane, and it serves as the reference point from which the scaling occurs. If the center of dilation is outside the figure, the shape will change along with the size. However, if the center is inside the figure, only the size will be affected, and the shape will remain the same.

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Answer:

3

Step-by-step explanation:

plus these 2 equation can get

5y = 15

y = 3

Answer:

3

Step-by-step explanation:

2x + 3y = 9

3y = -2x + 9

y = -2/3x + 3

-2x + 2y = 6

2y = 2x + 6

y = x + 3