3. What is the solution point of the system -7% - 4y= 4 and 3% + 9y=-920 (0,1)O (1,0)0 (-1,-1)O 0,-1)0 (-1,0)

The value of the expression \(\frac{1}{9x^{(3 + 1)}}\) is \(\frac{1}{9x^{4}}\)

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents is only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

Given, An expression, \(\frac{1}{9x^{(3 + 1)}}\).

Therefore,  \(\frac{1}{9x^{(3 + 1)}} = \frac{1}{9x^{4}}\).

We also know about radicals,

We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,

The other type of radicals are indices where a number is raised to such power that is greater than one.

Q. Find the addition of cubes 1/9x^3+1.

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Using the Divergence Theorem, we get the flux of F across the closed surface S is π/2 (27√2 - 27).

To apply the Divergence Theorem, we will first compute the divergence of F as follows -

div(F) = ∂Fx/∂x + ∂Fy/∂y + ∂Fz/∂z

= 1 + 1 + 1

= 3

Now we will calculate the flux of F across the closed surface S that completely surrounds T. By the Divergence Theorem, this is equal to the triple integral of the divergence of F over the region T and is given by -

∫∫S F•n dS = ∭T div(F) dV

We can describe the region T using cylindrical coordinates:

0 ≤ r ≤ 2

-π/2 ≤ θ ≤ π/2

0 ≤ z ≤ √(9 - r sin θ)

The bounds on r and θ come from the fact that the half cylinder is contained within the plane x = 2, and the plane y = ±3. The bounds on z come from the equation of the half cylinder.

Now we can write the triple integral as follows -

∭T div(F) dV = ∫0^2 ∫-π/2^π/2 ∫0^√(9 - r sin θ) 3 r dz dθ dr

Evaluating this integral, we get,

∭T div(F) dV = π/2 (27√2 - 27)

Therefore, the flux of F across the closed surface S is π/2 (27√2 - 27).

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Answer:

Prime numbers only have two factors which is 1 and itself so the HCF of a prime number is itself.

LCM of prime numbers is like the LCM of any other number. See where the lowest multiple of both prime numbers are equal.

Hope this helps.

Check the picture below.

The data modelling function is Price required to recoup printing expenses is equal to 0.1 * (numbers of yearbooks sold) + 45.

A yearbook is a collection of images and text that is issued by an organisation once a year to remember and highlight the happenings at a particular school during the previous academic year. Yearbooks were used in elementary, middle, high, and college and university settings throughout the 20th century.

Using the information in the table,

\(n = 5\)

Σ\(x = 1175\)

Σ\(y = 145\)

Σ\((xy) = 41000\)

Σ\((x^2) = 287500\)

When these values are inserted into the formula,

\(m = (541000 - 1175145) / (5*287500 - 1175^2)\)

\(= -0.1\)

Therefore, the slope of the linear function is \(-0.1\).

\(b = y - mx\)

where we can use any of the data points. Let's use\((250, 20)\)

\(b = 20 - (-0.1*250)\)

\(= 45\)

Therefore, the y-intercept of the linear function is \(45\).

\(y = -0.1x + 45\)

Therefore,

Price needed to cover the costs of printing \(= -0.1*\)(number of yearbooks sold) \(+ 45\).

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The bar diagram representing 150% of the price 5 years ago would be a bar with a height of $4.50.

What is the percentage?

Percentage is a way to express a number as a fraction of 100. It is often used to describe the relationship between two quantities, or to express a rate or change in a quantity over time. The symbol for percent is "%".

For example, if a pizza is marked up by 20%, it means the price has increased by 20/100 or 1/5 of the original price. If a student scores 80% on a test, it means they got 80 out of 100 questions correct. If a stock's value increases by 10%, it means the value has gone up by 10/100 or 1/10 of the original value.

The current admission price is $3 + $3 * 50% = $3 + $1.50 = $4.50.

150% of the price 5 years ago is $3 * 150% = $3 * 1.5 = $4.50.

So, the bar diagram representing 150% of the price 5 years ago would be a bar with a height of $4.50.

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Answer:

solve    9 = -6/-7(14) + b this is not the answer but when you solve it that will be your answer

Step-by-step explanation:

m = y2 - y1                    y = mx + b

      x2 - x1                     9 = -6/-7(14) + b

m = 3 - 9

      7 - 14

3 - 9 = -6

7 - 14 = -7

m = -6/-7

The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:

L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2

The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.

Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:

L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral  be solved.

We can, however, find a general solution. We use the above formula and substitute the limits of integration.

Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

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The side length of the cube is 5.6 feet (rounded to the nearest tenth).

We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.

We can calculate s by taking the cube root of both sides of the equation:

\(s = (V)^{(1/3)\)

Substituting V = 141, we get:

\(s = (141)^{(1/3)\)

By using a calculator to evaluate this expression, we may determine:

s ≈ 5.6

As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.

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A Prime factor is a natural number that has only two factors namely 1 and the number itself. One is not a prime number. Prime factors are odd in nature except for 2 because 2 is the only even prime factor. Example of prime factors are 2,3,5,7,11 etc

def print_prime_factors(number):

 factor = 2

 while factor <= number:

   # Check if factor is a divisor of number

   if number % factor == 0:

     # If it is, print it and divide the original number

     print(factor)

     number = number / factor

   else:

     # If it's not, increment the factor by one

    factor+=1

 return "Done"

print_prime_factors(100)

Complete question- Above mentioned is the correct code with all blanks filled.

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Answer:

area is 3.14 r2

Step-by-step explanation:

here r = 5 inch

area = 3.14 × 25

so 78.5 in2

Answer:

Step-by-step explanation:

If she is just buying one henna package and one squeeze bottles the total is 12 + 3 which is 15

Answer:

27

Step-by-step explanation:

I got it right

Answer:

a. x^4 - 12x^3 + 2x^2 - 2x + 4

Degree: 4

b. x^4 - 2x^2 - 2x - 4

Degree: 4

Step-by-step explanation:

For part a, all you are doing is adding the polynomials together. They already set up the boxes in standard form, so all you need to do is add each like term as I wrote out in the answer. The degree is then going to be the first exponent that you see once the polynomial is in standard form, which is 4.

For part b, you are now subtracting the polynomials. Again, it is set up for you in standard form. There is no x^3 terms because they cancel out, but you basically subtract each like term from another, and remember to distribute the subtraction sign (it acts as a -1) across the parenthesis. The degree is the first exponent you see, and that is 4.

The statement X = Y + Yxy is True.

The equation given is:

X = Y + Yxy

To find x = (X- Y) / Yy we have to substitute the value of x in X = Y + Yxy as

X = Y + Yxy

X = Y + Yy (X-Y) / Yy

To solve for x, we can rearrange the equation as:
X = Y +  X - Y

X = X

Thus, the statement is True.

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Answer:

The number of games they won = 3/5 * 50=30games

Step-by-step explanation:

Answer:

0.6462 = 64.62% probability that the person uses exactly one of the facilities

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

20 people use the gym and the track and 6 people use all three facilities

So 20-6 = 14 use exactly the gym and the track and 6 use all three.

8 people use the pool and the track

So 8 - 6 = 2 use exactly the pool and the track.

23 people use the gym and the pool.

So 23 - 6 = 17 use exactly the gym and the pool.

32 people use the track

So 32 - (6 + 14 + 2) = 10 use only the track.

60 people use the swimming pool

So 60 - (6 + 2 + 17) = 35 use only the pool.

76 people use the gym

So 76 - (6 + 14 + 17) = 39 use only the gym

What is the probability that the person uses exactly one of the facilities?

Out of 130, 39 + 35 + 10 = 84 use exactly one of the facilities.

84/130 = 0.6462

0.6462 = 64.62% probability that the person uses exactly one of the facilities

Answer:

549 000

Step-by-step explanation:

4500×122 months=549 000

To solve for x in the equation 4x3 = -5x - 21, we can follow these steps:

1. Move all the terms containing x to one side of the equation, and move the constant term to the other side. We can do this by adding 5x to both sides and then adding 21 to both sides:

   4x3 + 5x = -21

2. Factor out x from the left-hand side of the equation:

   x(4x2 + 5) = -21

3. Divide both sides by (4x2 + 5):

   x = -21 / (4x2 + 5)

So the solution for x is x = -21 / (4x2 + 5). Note that this is a rational function, which means that the value of x depends on the value of the variable x. This equation has no real solutions because the denominator is always positive, and the numerator is negative.

Jack and Jill went for a walk separately. Jack’s total distance in blocks, x, was thirty blocks fewer than twice Jill’s total distance in blocks, y. The difference between five times Jack’s total distance and twice Jill’s total distance is ten blocks. 10 blocks did Jack and Jill each walk. This can be solved by solving equations.

An equation is an algebraic statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 6x + 11 = 14, for instance, the two expressions 6x + 11 and 14 are separated by the symbol "equal (=)"

x= 2y -30 ............. (1)

5x-2y=10 ............. (2)

substitute x= 2y-30 into the 2nd equation

or, 5(2y-30)-2y = 10

or, 10y-150-2y=10

or, 10y -150-2y= 10

or, 8y-150=10

After adding 150 on both sides we get:

or, 8y = 160

so, y = 20  

substitute y=20 into x = 2y-30

so, x = 40-30

so x = 10 & y = 20

thus, 10 blocks did Jack and Jill each walk.

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The given expression is equivalent to \($(1215)^{x/5}\).

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following equation -

\($(\sqrt[5]{1215})^{x}\)

For \($\sqrt[a]{x} = x^{1/a}\)

Using the rule, we can write -

\($(\sqrt[5]{1215})^{x}\) = \($(1215)^{x/5}\)

Therefore, the given expression is equivalent to \($(1215)^{x/5}\).

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Answer:

1. ella

2. ella

Step-by-step explanation:

Answer:

toga

Step-by-step explanation:

Ratio remains same

\(\\ \sf\longmapsto \dfrac{18}{27}=\dfrac{x}{45}\)

\(\\ \sf\longmapsto 2/3=x/45\)

\(\\ \sf\longmapsto 3x=90\)

\(\\ \sf\longmapsto x=30\)

Answer:

12+ 23734.9d That's the incorrect answer.

Answer:69420

Step-by-step explanation:

69420 because you can do it quickly and the quantom machincs because you are homeiophobic so it makes the answer wrong since you are a hater. hating is wrong since haters are bad. so if u are doing the upper liptis of the eqation of the 79x2211 it makes a habisquis

For a line with a slope a and a known point (h, k), the point-slope form is:

y = a*(x - h) + k

A general linear equation can be written in slope-intercept form as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that a line passes through a point (h, k), then the point-slope form of that line is:

y = a*(x - h) + k

Notice that particularly, the y-intercept can be written as (0, b), then the slope-intercept form is also a point-slope:

y = a*(x - 0) + b

y = a*x + b

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Answer:

---------------------------

There are two triangular faces with base of 16 cm and height of 15 cm and three rectangular faces.

Find the sum of areas of all five faces:

Answer:

4,500

5 or above give it a shove, 4 or below, let it go