4y=5x-1 3x-2y=1 solve each system using substitution

(sorry I don't understand your language but, here's my answer)

Integral that would give the volume V generated by rotating the region bounded by the given curves will be 200 pi unit³

Finding the volume of rotation is similar to finding the area of the bounded region of the graphs of the functions. The only difference is the added component added due to the rotation of the bounded region. Now whether we are using disk method or cylindrical shell method to find the volume, we will first set up the integral and its limits of integration, then evaluate this integral.

To find the volume of the solid generated by rotating the region bounded by curves:

(y = x^3 and y = 0) around the y-axis

We use the Cylindrical Shells Method.

First, we need to set up the integral.

We have:

2π∫\(0^5\) x (\(x^3\)) dx.

To solve this integral, we use the power rule for integration.

This states that if we have an integral of \(x^n\), the antiderivative is

x^(n+1)/(n+1).

Therefore, the antiderivative of our integral is 2π∫\(0^5\) x (\(x^3\)) dx.. Now that we have the antiderivative, we can solve the integral by applying the fundamental theorem of calculus.

This states that the integral of a function is equal to the difference between the evaluated antiderivative at the upper and lower limits of the integral.

Therefore, the volume of the solid generated is

V = \([x^5/5]^5_0\) = 2π(\(5^5/5\)) = 200π\(unit^3\).

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Answer:

x = 25

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

6(x - 5) = 4x + 20

Step 2: Solve for x

Answer:

x = 25

Step-by-step explanation:

The first step would be to distribute the 6 to x and -5. That gives us 6x - 30. Then you would subtract the 4x from both sides to get 2x - 30 = 20. You can now add the 30 to both sides leaving us with 2x = 50. Divide both sides by 2 to isolate the x. You have your final answer of x = 25 now. You can always put 25 back in the equation to check by substituting out x.

Answer:

28mpg

Step-by-step explanation:

eric uses 7 gallons

drive=196 miles

196miles ÷ 7 gallons = 28mpg

eric can drive 28 miles using 1 gallon of gas

Answer:

127 degrees = x

Step-by-step explanation:

A six sided polygon has interior angles that sum to

(n-2)(180) =  (6-2)(180 = 720

so all of the angles in the question add to 720

 98 + 133 + x + x + 155 + 80 = 720

  solve for x = 127 degrees

Answer:

x = 127

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 6 , then

sum = 180° × 4 = 720°

sum the interior angles and equate to 720

x + x + 155 + 80 + 98 + 133 = 720 , that is

2x + 466 = 720 ( subtract 466 from both sides )

2x = 254 ( divide both sides by 2 )

x = 127

The simplified form of the rational expression \((7x)/(14x^6)\) is \(1/(2x^6).\)

To simplify the rational expression \((7x)/(14x^6)\), we can begin by simplifying the numerator and denominator separately.

In the numerator, 7x, we can see that both 7 and x have a common factor of 7. So, we can rewrite the numerator as 7 × x = 7x.

In the denominator, \(14x^6\), we can see that both 14 and x^6 have a common factor of \(2x^6\).

So, we can rewrite the denominator as

\(14 \times x^6 = 2 \times 7 \times x^6 = 2 \times 7x^6.\)

Now, we can simplify the rational expression by canceling out the common factors in the numerator and denominator:

\((7x)/(14x^6) = (7x)/(2 \times 7x^6) \\= (7x)/(2 \times 7 \times x^6) \\= (cross(7x))/(2 \times cross(7) \times x^6) \\= 1/(2x^6)\)

Therefore, the simplified form of the rational expression\((7x)/(14x^6)\) is \(1/(2x^6).\)

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Answer:

Hector watches Jaden swim in the ocean

Answer:

1. -$50 2. $25

Step-by-step explanation:

150-200= -50

-50+75=25

Answer:

0.57

Step-by-step explanation:

57 / 100 = 0.57

You need to divide the percent by 100

Answer:

7/8, 1/5, 1/3, 5/9, 11/12, 2/5, 3/5, 3/20, 9/25, 3/7, 3/8, 4/9, 8/15, 4/5, 5/7, 1/8, 7/12, 21/25, 1/6, 3/14, 1/4, 8/27, 3/4, 2/3, 5/6, 2/15, 27/40, 9/10, 5/12

the secret message spells "YES"

Step-by-step explanation:

you cant divide any of the numbers above by the same number and not get a decimal.

Answer: The word is yes

Step-by-step explanation:

Shade in 7/8, 1/5, 2/5, 3/7, 8/15, 3/14, 3/4, 5/9, 3/8, 4/5, 1/4, 2/3, 1/3, 3/5, 5/7, 1/8, 5/6, 2/15, 11/12, 3/20, 9/25, 4/9, 7/12, 21/25, 1/6, 8/27, 9/10, 27/40, and 5/12.

Step-by-step explanation:

The given quadratic equation is :

\(13x^2 +1 = -10x\\\\or\\\\13x^2+10x+1=0\)

The formula to solve a quadratic equation is :

\(x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\)

Put a = 13, b = 10 and c = 1

So,

\(x=\dfrac{-10\pm \sqrt{10^2-4(13)(1)} }{2(13)}\\\\x=-0.118, -0.651\)

Hence, this is the required solution.

The answer is B) the median.

While the median is a measure of central tendency, it does not directly reveal the variation or spread of the data. The median only identifies the middle value in a dataset when arranged in ascending or descending order. It does not provide information about the range or dispersion of the data points.

On the other hand, the other options do reveal the variation or spread of the data:

A) The 5 number summary, which includes the minimum value, first quartile, median, third quartile, and maximum value, provides information about the range and spread of the data.

C) The range represents the difference between the maximum and minimum values in a dataset, providing a measure of the spread.

D) The standard deviation is a measure of dispersion that quantifies the average amount of variation or spread in a dataset.

Therefore, B) the median does not reveal the variation or spread of the data, while the other options do provide such information.

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Answer:

11:37am

Step-by-step explanation:

Answer:

11:22am

Step-by-step explanation:

Answer:

57.5 dollars

Step-by-step explanation:

Answer:

96Consider the arithmetic sequence with a first term of 11 and sixth term of 21. What is the

sum of these first six terms?

The required sum of the first 6th term of an arithmetic progression is 96. Option D is correct.

Given that,
Consider the arithmetic sequence with the first term of 11 and the sixth term of 21. To determine the sum of these first six terms.

Arithmetic progression is the series of numbers that have common differences between adjacent values

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

Here,
First term a = 11
6th term = a + 5d
21 = 11 + 5d
5d = 10
d = 2
Now,
sum of the six terms, = 6 / 2{11 + 21}
                                   = 3 (32)
                                   = 96

Thus, the required sum of the first 6th term of an arithmetic progression is 96. Option D is correct.

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Answer:

C

D

Step-by-step explanation:

C. It is in quadrant I and III

D. It is a hyperbola

Letss try using Pythagoras Theorem with

\(a+b+c=180\\21+28+c=180\\c=180-21-28\\c=131\)

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Answer:

im going to say (2, -5)

Step-by-step explanation:

Answer:

v = 7

Step-by-step explanation:

42 = v + 35

-35        -35

7 = v

The answer is D. 7

I took the quiz and got it right

Answer:

D) 48

Step-by-step explanation:

Let s = Scott

Let j - James

s = 5

s + 43 = j  Substitute 5 for s

5 + 43 = j

48 = j

It took Ringani 2.8 years  to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.

To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount

P is the principal amount (initial deposit)

r is the interest rate (in decimal form)

n is the number of times the interest is compounded per year

t is the time in years

In this case, we have:

P = R8,500.00

A = R30,000.00

r = 7.04% = 0.0704 (in decimal form)

n = 1 (compounded annually)

We want to find the value of t.

Using the formula, we can rearrange it to solve for t:

t = (log(A/P)) / (n * log(1 + r/n))

Substituting the given values, we have:

t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))

Calculating this using a calculator, we find that t is approximately 2.8 years.

Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.

The correct answer choice is C. 2.8 years.

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Step-by-step explanation:

The required sum 

=(1+2+3+...+199)−(3+6+9+...+198)−(5+10+15+...+195)+(15+30+45+...+195)

=2199(1+199)−266(3+198)−239(5+195)+213(15+195)

=199×100−33×201−39×100+13×105=10732

Answer:

10732

So the sum of all natural numbers less than 200 that are divisible by neither by 3 nor by 5 is 10732.

Step-by-step explanation:

Mak brainilist

Answer:

1. 120\(m^{2}\)

2. 192\(ft^{2}\)

3. 48\(cm^{2}\)

Step-by-step explanation:

First triangle:

1. Find out the height

   \(h^{2} +8^{2} =17^{2}\)

   \(h^2+64=289\)

         -64     -64

   \(h^2=225\)

  h=15

2. Find the area

A=1/2 x 16 x 15

A=120\(m^{2}\)

Second triangle:

1. Find out the height

   \(h^2+16^{2} =20^{2}\)

   \(h^2+256=400\)

         -256   -256

   \(h^{2} =144\)

   h=12

2. Find the area

A=1/2 x 32 x 12

A=192\(ft^{2}\)

Third triangle:

1. Find out the height

\(h^2+6^2=10^{2}\)

\(h^2+36=100\\\)

     -36    -36

\(h^2=64\)

h=8

2. Find the area

A=1/2 x 12 x 8

A=48\(cm^{2}\)

Answer:

n = 7/2

Step-by-step explanation:

4n^2-22=27

4n^2 = 27 + 22

4n^2/4 = 49/4

sqrtn^2 = sqrt(49/4)

n = 7/2

Answer:

No solution

Step-by-step explanation:

1. Distribute the right side.

8w+5=8w+4

2. This has no solution.

Answer:

y = 1/3x +2

Step-by-step explanation:

when x =o, y=2

when x= -6, y=0

so slope is always the difference between the Ys divided by diff b/w the Xs

so the slope is (2-0)/(0-(-6)) =  1/3

the intercept by definition is when x=0, so it's 2

so Y = 1/3 X +2

The dimensions of the rectangular garden to maximize the area is length = width = 75 meters.

Let l be the length and w be the width of the rectangular garden.

We need to find the dimensions of the rectangular garden of greatest area that can be fenced off (all four sides) with 300 meters of fencing.

The perimeter of the  rectangular garden = 300 meters

We know that the perimeter of the rectangle =2(length + width)

300 = 2(l + w)

l + w = 150               .......(1)

Now, the maximum area of a  rectangular garden is when Length  = width

So, for equation 1

l + l = 150

l = 75 meters

So, w = 75 meters

And the area of the rectangular garden = length * width

                                                               = 75 * 75

                                                               = 5625 m²

So the maximum area of the  rectangular garden is 5625 m²

Therefore, the dimensions of the garden to maximize the area is length = width = 75 meters and maximum area is  5625 m²

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