HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!

9514 1404 393

Answer:

  D.  6 3/4

Step-by-step explanation:

The angle bisector divides the sides proportionally:

  QR/PQ = RS/PS

  QR = PQ×RS/PS = 9×3/4

  QR = 6 3/4

Answer:

what questions you need answers?

Answer: What is your question?

Step-by-step explanation:

1. For the first integral, we will integrate the function (x^3 + 3)^2(3x dx):
∫(x^3 + 3)^2(3x) dx
To check the result, we differentiate with respect to x:
d/dx [(1/3)(x^3 + 3)^3 + C] = (x^3 + 3)^2(3x)

2. For the second integral, we will integrate the function 3x^4 dx/(2x^5 - 1)^4:
∫(3x^4) dx/(2x^5 - 1)^4
To check the result, we differentiate with respect to x:
d/dx [(-1/10)(2x^5 - 1)^(-3) + C] = 3x^4/(2x^5 - 1)^4

3. If ∫f(x) dx = (2x - 14)^10 + C, then to find f(x), we differentiate with respect to x:
f(x) = d/dx [(2x - 14)^10 + C] = 10(2x - 14)^9(2)
f(x) = 20(2x - 14)^9

1. To evaluate the integral (x^3 + 3)^2(3x dx), we can use the substitution u = x^3 + 3, which gives us du/dx = 3x^2 and dx = du/(3x^2). Substituting these into the integral, we get:
integral (x^3 + 3)^2(3x dx) = integral u^2 (du/ x^2)
= integral u^2/x^2 du
= integral (x^6 + 6x^3 + 9)/x^2 du
= integral (x^4 + 6x + 9/x^2) du
= (1/5) x^5 + 3x^2 - 9/x + C
To check our result by differentiation, we can take the derivative of the above expression with respect to x:
d/dx [(1/5) x^5 + 3x^2 - 9/x + C]
= x^4 + 6x + 9/x^2
= (x^3 + 3)^2

2. To evaluate the integral 3x^4 dx/(2x^5 - 1)^4, we can use the substitution u = 2x^5 - 1, which gives us du/dx = 10x^4 and dx = du/(10x^4). Substituting these into the integral, we get:
integral 3x^4 dx/(2x^5 - 1)^4 = integral 3/(10u^4) du
= (-3/30u^3) + C
= (-1/10(2x^5 - 1)^3) + C
To check our result by differentiation, we can take the derivative of the above expression with respect to x:
d/dx [(-1/10(2x^5 - 1)^3) + C]
= (3x^4)/(2x^5 - 1)^4

3. To find f(x) given that integral f(x) dx = (2x - 14)^10 + C, we can use the reverse power rule of integration, which states that if integral f(x) dx = F(x) + C, then f(x) = F'(x). Applying this to our given integral, we get:
f(x) = d/dx [(2x - 14)^10 + C]
= 10(2x - 14)^9(2)
= 20(2x - 14)^9
Therefore, f(x) = 20(2x - 14)^9.

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The idea is to sort the array in descending order and then return the second element which is not equal to the largest element from the sorted array.

In order to have as few implementation dependencies as feasible, Java is a high-level, class-based, object-oriented programming language.

// Java program to find second largest element in an array

import java.util.*;

class GFG{

// Function to print the

// second largest elements

static void print2largest(int arr,int arr_size)

{

int i, first, second;

// There should be

// atleast two elements

if (arr_size < 2)

{

  System.out.printf(" Invalid Input ");

  return;

}

// Sort the array

Arrays.sort(arr);

// Start from second last element

// as the largest element is at last

for (i = arr_size - 2; i >= 0; i--)

{

  // If the element is not

  // equal to largest element

  if (arr[i] != arr[arr_size - 1])

  {

   System.out.printf("The second largest " +

                      "element is %d\n", arr[i]);

   return;

  }

}

System.out.printf("There is no second " +

                  "largest element\n");

}

// Driver code

public static void main(String[] args)

{

int arr[] = {12, 35, 1, 10, 34, 1};

int n = arr.length;

print2largest(arr, n);

}

}

The idea is to sort the array in descending order and then return the second element which is not equal to the largest element from the sorted array.

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The correct answer is D, you are right.

Answer:

The answer is D.

Step-by-step explanation:

The required expression is: y' = (1/2)(1-y)/(1+y)

Given [1 + y]² - x + y = 4 10. We need to determine an expression for dy/dx = y'.

Simplification of the given expression:

[1 + y]² + y - 4 10 = x

Differentiating w.r.t x by using the chain rule, we get:

(2[1 + y])*(dy/dx) + dy/dx + 1 = 0

(dy/dx)[2(1 + y) + 1] = - 1 - [1 + y]²

(dy/dx) = [- 1 - (1 + y)²]/[2(1 + y)]

The given expression is [1+y]²-x+y=4 10. We need to determine an expression for dy/d x = y'.

Differentiating the given equation with respect to x, we get:

2(1+y).dy/dx - 1 + dy/dx = 0

dy/dx(2+2y) = 1 - y(2+dy/dx)

dy/dx(2+2y) = (1-y)(2+dy/dx)

dy/dx = (1-y)/(2+2y)

dy/dx = (1/2)(1-y)/(1+y)

Hence, the required expression is: y' = (1/2)(1-y)/(1+y)

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The standard deviation for the number of people with the genetic mutation in such groups of 100 is 1.4

From the information given,

About 2% of the population has a particular genetic mutation, and 100 people are randomly selected.

The standard deviation for the number of people with the genetic mutation in such groups of 100 is obtained below;

The required standard deviation is,

p = 0.02 and n = 100;

1 - p = 1 - 0.02

       = 0.98

σ = \(\sqrt{n*(1-p)*p}\)

σ = \(\sqrt{100*0.02*0.98}\)

σ = 1.4

The standard deviation for the number of people with the genetic mutation in such groups of 100 is 1.4

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Answer:

No

Step-by-step explanation:

In a triangle, the sum of each 2 sides must be greater than the third side.

17 + 32 ≠ >49

17 + 32 isn't greater than 49.

I hope this helps.

The percentage change from 92 to 108 is 13.4% approx

What is Percentage?

A percentage is a figure or ratio that may be stated as a fraction of 100 in mathematics. If we need to compute the percentage of a number, divide it by the entire and multiply by 100. As a result, the percentage denotes a part per hundred. The term per cent refers to one hundred percent.

Solution:

Percentage = Change / Original * 100

Change = 108 - 92 = 16

Original/Initial Value = 92

Percentage Change = 16/92 * 100 = 17.39% = 17.4% (approx)

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The distance between (1,1/2) and (2,2/3) along the curve 144^2=x^3 is 1.

To find the distance between two points along a curve, we can use the formula for arc length. The formula for arc length is given by:

L = ∫√(1 + (dy/dx)^2) dx

Where L is the arc length, dy/dx is the derivative of the curve, and the integral is taken from the first x-value to the second x-value.

In this case, the curve is given by 144^2 = x^3. We can rearrange this equation to get:

x^3 = 144^2

Taking the derivative of both sides with respect to x gives us:

3x^2 = 0

Solving for dy/dx gives us:

dy/dx = 0

Plugging this back into the formula for arc length gives us:

L = ∫√(1 + 0^2) dx

L = ∫1 dx

L = x

So the arc length is simply the difference between the x-values of the two points. In this case, the x-values are 1 and 2, so the distance between the two points is:

L = 2 - 1 = 1

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the exact formula for X(n) is given by the sum of i from 1 to 4n + 1. The closed-form formula for X(n) is (4n + 1)(4n + 2)/2, expressed as a polynomial function. The asymptotic value of X(n) is approximately 4n^2, representing the growth rate as n approaches infinity.

(i) The exact formula for X(n) can be determined by analyzing the procedure PrintXs(n) and counting the number of times the letter "X" is printed. In this case, the outer loop runs for 4n + 1 iterations, and for each iteration, the inner loop runs i times. Thus, the total number of "X" letters printed is given by the sum of i from 1 to 4n + 1.

(ii) To express X(n) as a closed-form polynomial function, we can simplify the sum mentioned above. By using the formula for the sum of an arithmetic series, the closed-form formula for X(n) can be written as X(n) = (4n + 1)(4n + 2)/2.

(iii) The asymptotic value of X(n) can be expressed using the e-notation, which represents an estimate of the growth rate. In this case, as n approaches infinity, the dominant term in the expression (4n + 1)(4n + 2)/2 is 4n^2. Therefore, we can express the asymptotic value of X(n) as X(n) ~ 4n^2.

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Answer:

C

Step-by-step explanation:

4 quartz per gallon

4 x 22 = 88 Containers

Answer:

c

Step-by-step explanation:

Answer:

a) 1.84m

b) 42.53°

Step-by-step explanation:

First, look though the diagram provided by the question.

And use the formula: \(\frac{a}{sin A}=\frac{b}{sin B}=\frac{c}{sin C}\)

Based on Additional Mathematics Form 4 (Dual Language Programme) KSSM from Malaysia

To find the length of AD

\(\frac{AD}{sin 67}=\frac{2}{sin 90}\)

\(AD=\frac{2}{sin 90} * sin 67\)

AD= 1.84 m

Find the angle C

\(\frac{sin 90}{2.5}=\frac{sin C}{1.84}\)

sin C=\(\frac{sin 90}{2.5} * 1.84\)

= 0.736

\(sin^{-1} (0.736)=47.39\) degree

So, we have the value of AD and the value of angle C. Now , we can solve the the angle of CAD.

Same as the first question use the formula of sine rule and you will get the answer.

\(\frac{sin 90}{2.5}=\frac{sin ACD}{1.69}\)

\(sinA = \frac{sin90}{2.5} * 1.69\)

=0.676

=42.53°

So, the answer of the angle of CAD is 42.53°

Check the answer:

90°+47.39°+42.53°

=179.92°

=180°(rounded off)(Proved)

That is all from me. I hope you will understand my solution.

Answer:

15 pages

Step-by-step explanation:

let x be the number of pages

7x-21 = 11x-81

4x = 60

x = 15

Answer:

1.9cm

Step-by-step explanation:

The density d of a material is related to its mass m and volume V as follows;

d = \(\frac{m}{V}\)             ------------------(i)

The material in question here is the lead ball.

Now, from known experiment;

the density of lead is 11.34g/cm³

From the question, the weight/mass of the lead ball is 326g

Substitute these values into equation (i) as follows;

11.34 = \(\frac{326}{V}\)

V = \(\frac{326}{11.34}\)

V = 28.75cm³

Now, since the ball is of course spherical, we can get the radius by using the following relation from the volume of a sphere;

V = \(\frac{4}{3} \pi r^3\)          [V = volume, r = radius]

V = 28.75cm³

=> 28.75 = \(\frac{4}{3} \pi r^3\)

=> 3 x 28.75 = 4 π r³

=> 86.25 = 4 π r³

=> 21.5625 = π r³      [Take π = 3.142]

=> 21.5625 = (3.142) r³      [divide both sides by 3.142]

=> 6.86 = r³              [Take the cube root of both sides]

=> ∛6.86 = ∛r³

=> 1.90 = r

Therefore, the radius is 1.9cm to the nearest tenth

Answer:

r = (n - p)/c

Step-by-step explanation:

n = p + cr

Subtract p from both sides

n - p = p + cr - p

n - p = cr

Divide both sides by c.

(n - p)/c = cr/c

r = (n - p)/c

Given the differential equation dy/dx = xy/(4y-x) - 4xy/(9y-x).

We need to solve the above differential equation by separation of variables.

By the method of separation of variables, we need to separate the variables x and y and arrange the terms with respect to these variables in the following manner:

dy/y = [x/(4y-x) - 4x/(9y-x)]dx

Integrating both sides with respect to their respective variables, we get:

∫dy/y = ∫[x/(4y-x) - 4x/(9y-x)]dx

On integrating and simplifying, we get:

ln|y| = 1/4ln|(4y-x)/x| + 4/9ln|(9y-x)/x| + c

where c is a constant of integration.

Rewriting the above equation, we get:

|y| = C|x^(1/4)(4y-x)^(1/4)(9y-x)^(4/9)|

where C is the constant of integration.

Putting the value of y = 0 in the above equation, we get:

0 = C*0

which implies that C = 0

Thus, the solution of the given differential equation is |y| = 0 which implies y = 0 or |(4y-x)(9y-x)|^(4/9) = x^(1/4).

Therefore, the solution of the given differential equation is y = 0 or (4y-x)(9y-x) = kx^(9/4) where k is a constant.

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The constant of proportionality of the equation c = 7m is (b) 7

From the question, we have the following parameters that can be used in our computation:

c = 7m

The above equation is a linear equation

Also, the equation is a proportional equation

A proportional linear equation can be represented as

y = mx

Where

Constant of proportionality = m

When the equations are compared, we have

Constant of proportionality = 7

Hence, the constant of proportionality is 7

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The third one - I would give an explanation but am currently short on time, hope this is enough.

The cylindrical coordinates of (−7, 7, 7) are (√98, -π/4, 7). cylindrical coordinate (−7, 7 3 , 1) is  (14, -π/3, 1).

We must switch from rectangular to cylindrical coordinates in the provided problem. (let r ≥ 0 and 0 ≤ θ ≤ 2π.)

A)(−7, 7, 7)

Given rectangular coordinates(x, y, z) =(−7, 7, 7)

The cylindrical coordinates are (r, θ, z)

As a result, we determine each value of r and θ  separately.

r = √x²+y²

r = √(-7)²+(7)²

r = √49+49

r = √98

θ = tan⁻¹ (y/x)

θ =tan⁻¹  (7/-7)

θ =tan⁻¹  (-1)

θ = -π/4

So cylindrical coordinate = (r, θ, z) = (√98, -π/4, 7)

B) (-7,7√3,1)

Given rectangular coordinates(x, y, z) = (-1,1,1)

The cylindrical coordinates are (r, θ, z)

As a result, we determine each value of r and θ  separately.

r = √x²+y²

r = √(-7)²(7√3)²

r = √49+147

r = √196

r = 14

θ = (y/x)

θ = (7√3/-7)

θ = (-√3)

θ = -π/3

So cylindrical coordinate = (r, θ, z) = (14, -π/3, 1)

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Answer:

t=2

Step-by-step explanation:

16-2t=3/2t+9

you multiply everything with 2

32-4t = 3t+18

4t-3t=18-32

-7t=-14

t=2

Step 1: Minus the 16 from the 9

Step2: Multiply the 2t wirh the -2t.

Step 3: Divide -4 by -4

The correct answer is the decimal approximation of sin(-321°18') is approximately -0.456.

The trigonometric function sin(-321°18') can be approximated using a calculator to find its decimal value. Here's how you can do it:

1. Start by converting the angle from degrees to radians. Remember that there are 360 degrees in a full circle and 2π radians in a full circle. To convert -321°18' to radians, divide it by 180° and multiply by π:

  -321°18' * (π/180°) ≈ -5.613


2. Now, use your calculator to find the sine of the converted angle (-5.613 radians). The sine function gives the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle.

  sin(-5.613) ≈ -0.456

  So, the decimal approximation of sin(-321°18') is approximately -0.456.

Please note that different calculators might have slightly different decimal approximations due to rounding, but this value should give you a good estimate.

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9 × 10² is 3 × 10⁴ times as much as 3 × 10⁻².

To find how many times greater 9 × 10² is than 3 × 10⁻², we need to divide the two numbers.

9 × 10² / 3 × 10⁻²

To make the calculation easier, we can convert the second number to scientific notation as well:

9 × 10² / 3 × 10⁻²

= 9 × 10² / (3/100)

= 9 × 10² × 100 / 3

= (9/3) × (10² × 100)

= 3 × 10⁴

So 9 × 10² is 3 × 10⁴ times as much as 3 × 10⁻².

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9. The given series converges conditionally.

10. The radius of convergence for the given power series is 3, and the interval of convergence is (-2, 4).

9. To determine the convergence of the series ∑\((4n(-1)^n)/(3n^2+ 2n+1)\), we can use the Alternating Series Test. The alternating series has the form ∑\((-1)^n b_n\) ,

where \(b_n = (4n)/(3n^2+ 2n+1)\).

For this series, we can observe that the terms alternate in sign and the absolute values of the terms approach zero as n approaches infinity. Additionally, the sequence {\(b_n\)} is decreasing. Therefore, the given series converges conditionally.

To find the radius of convergence and interval of convergence for the power series ∑\((1/(3^n)) * (x-1)^n\), we can use the Ratio Test. Applying the Ratio Test, we have:

\(\lim_{n \to \infty}\)⁡ \(|(1/(3^{(n+1)})) (x-1)^{(n+1)}|/|(1/(3^n)) (x-1)^n| = |(x-1)/3|\)

For the series to converge, the limit above must be less than 1. Therefore, |(x-1)/3| < 1, which implies |x-1| < 3. This condition defines the interval of convergence.

10. To find the radius of convergence, we consider the endpoints of the interval. The series diverges when x = -2 and x = 4. Therefore, the radius of convergence is the distance between the center of the power series (x = 1) and the nearest endpoint, which is 3.

In summary, the given power series has a radius of convergence of 3 and an interval of convergence of (-2, 4).

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Answer:it is c

Step-by-step explanation:

fjhrhgvfj

Answer:

yes

no

yes

no

Step-by-step explanation:

pls mark brainliest

Answer:

Alternate interior angles theorem

Step-by-step explanation:

DG // EF   and GE is the transversal. So, alternate interior angles are congruent

Therefore, ∠HGD ≅ ∠HEF

DG // EF   and DF is the transversal. So, alternate interior angles are congruent

Therefore, ∠HDG ≅ ∠HFE

Answer:

3.1*10^3

Step-by-step explanation:

If u know, the scientific notation formula will look somewhat like this:

a*10^b

So I implemented that into my scientific notation.

3.1*10^3=3.1*1000

3.1=3,100

Because you move the decimal point over.

So the answer is 3.1*10^3