2. C is at (-5.1) & D is at (7.6). Where is the midpoint on segment CD?​

We can write\(:∫0¹(1-x^q)^1/pdx = ∫1⁰(1-v)^1/pv^(1/q - 1) dv.\)

To prove that \(∫0¹(1-x^p)^1/qdx=∫0¹(1-x^q)^1/pdx,\) we use the substitution u = x^p and u = x^q respectively.

Using the substitution method, we have the following:  Let\(u = x^p,\) then \(du/dx = px^(p-1)\)and \(dx = (1/p)u^(1/p - 1) du.\)

Hence we can write\(:∫0¹(1-x^p)^1/qdx = ∫0¹(1-u)^1/qu^(1/p - 1) duLet v = (1 - u), then dv/dx = -du and dx = -dv.\)

Therefore, we can write:\(∫0¹(1-u)^1/qu^(1/p - 1) du = ∫1⁰(1-v)^1/qv^(1/p - 1) dvS\)

Since p and q are both positive, 1/p and 1/q are positive, which implies that the integrals are convergent. Now let us apply the same technique to the other integral. I\(f v = x^q, then dv/dx = qx^(q-1) and dx = (1/q)v^(1/q - 1) dv.\)

Hence we can write:∫\(0¹(1-x^q)^1/pdx = ∫1⁰(1-v)^1/pv^(1/q - 1) dv.\)

Using the identity\((1 - u)^1/q = (1 - u^q)^(1/p),\)

we can write:\(∫0¹(1-x^p)^1/qdx = ∫0¹(1 - (x^p)^q)^(1/p)dx = ∫0¹(1 - x^q)^(1/p)dx∫0¹(1-x^q)^1/pdx = ∫0¹(1 - (x^q)^p)^(1/q)dx = ∫0¹(1 - x^p)^(1/q)dx.\)

Hence, we have shown that \(∫0¹(1-x^p)^1/qdx = ∫0¹(1 - x^q)^(1/p)dx.\)

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To solve the proportion (2x + 5)/10 = 42/20, you can cross multiply and then solve for x.

Step 1: Cross multiply
(2x + 5) * 20 = 10 * 42

Step 2: Simplify
40x + 100 = 420

Step 3: Subtract 100 from both sides
40x = 320

Step 4: Divide both sides by 40
x = 8

The value of x is 8.

When solving a proportion, you cross multiply. This means you multiply the numerator of the first fraction with the denominator of the second fraction, and vice versa. In this case, you multiply (2x + 5) with 20 and 10 with 42.

This gives you the equation 40x + 100 = 420. To isolate the variable x, you subtract 100 from both sides, resulting in 40x = 320. Finally, you divide both sides by 40, giving you the value of x as 8.

The  proportion (2x + 5)/10 = 42/20 is x = 8.

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Answer: Commutative Property of multiplication

Step-by-step explanation:

The property illustrated in the given statement "x=y so 4x=4y" is: Multiplication property of equality. Correct option is D.

The Multiplication Property of Equality states that if you have an equation, and you multiply both sides of the equation by the same non-zero number, the resulting equation remains true.

In the given statement "x=y," it means that x and y are equal. Now, if you multiply both sides of this equation by the non-zero number 4, you get:

4x = 4y

The relationship between x and y hasn't changed because you're multiplying both sides of the equation by the same number (4). This is a direct application of the Multiplication Property of Equality. It maintains the equality between the quantities involved.

So, the statement "x=y so 4x=4y" illustrates the Multiplication Property of Equality because it shows that if two quantities are equal (x=y), then multiplying both sides by the same non-zero number (4) preserves that equality (4x=4y).

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Answer:

I believe it's 19279 if u need the answer to community college too tell me

Answer:\(2x^{3} mr^{2}\)

Step-by-step explanation:

2 * xxx * m * rr

2 \(x^{3}\) m \(r^{2}\)

This is because \(x^{3}\) is the same as multiplying x by its self, three times. The same goes for variables m and r.

Answer:

2x+20

Step-by-step explanation:

Given

Age of Ethen = x

If Raj is 8 years older than Ethen, then;

Raj = x + 8

6 years time

Ethen age = x+ 6

Raj = x+8+6 = x+14

Sum of ages in 6 years time = x+6+x+14

Sum of ages in 6 years time = 2x + 20

Hence the required sum of ages is 2x+20

Answer:

Is that from RSM??

Step-by-step explanation:

The total cost for the week can be calculated by adding the cost of producing the caramel apples (0.75n) to the fixed cost of the booth ($120), which gives us the function C(n) = 0.75n + 120.

C(n) = 0.75n + 120

A function is a rule that assigns a unique output value to each input value. A function can be thought of as a machine that takes in an input and produces an output based on a set of instructions. The input and output values can be numbers, but they can also be other types of data, such as text or images.

Functions are an important concept in mathematics and are used in a wide range of fields, including science, engineering, economics, and computer science. They are often used to model relationships between different variables and to make predictions based on data. There are many types of functions, including linear functions, quadratic functions, exponential functions, and trigonometric functions. Each type of function has its own unique properties and can be graphed to help visualize the relationship between the input and output values.

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Answer:

x = 16, y = 6

Step-by-step explanation:

Using the property of parallelogram; the parallel sides are equal in length

We have it that;

3x -7 = 2x + 9

3x - 2x = 9 + 7

x = 16

For the other side;

5y = 2y + 18

5y -2y = 18

3y = 18

y = 18/3

y = 6

Answer:

5.6ft squared

Step-by-step explanation:

4x7 = 28 divided by 5 which is 5.6

The minimum recommended temperature for the cold temperature run (\#7) is 15 degrees below room temperature.

The cold temperature run, marked as \#7, requires a specific temperature range to ensure optimal performance and safety. The minimum recommended temperature for this run is 15 degrees below room temperature.

Running at temperatures below room temperature allows for a more controlled environment that mimics colder conditions, which can be beneficial for various purposes such as testing equipment, evaluating performance, or assessing durability in colder climates. It helps identify potential issues or limitations that may arise in colder environments.

Setting the minimum recommended temperature at 15 degrees below room temperature provides a sufficient cold environment without excessively low temperatures that could pose risks or potential damage.

This temperature range strikes a balance between achieving the desired cold conditions for testing purposes while ensuring the safety and integrity of the equipment or system being evaluated.

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Answer:

x > 2

Step-by-step explanation:

I hope this helps

Answer:

∡3 = 48°

Step-by-step explanation:

∡ 3 = (180-132)° = 48°

Hope this helps.

Answer:

48°

Step-by-step explanation:

The given angles are supplementary angles which means their sum is equal to 180°.

Then we can find the value of ∠3 with the following equation:

132° + ∠3 = 180°

∠3 = 48°

=========================================================

Explanation:

Start at $3.50 on the vertical y axis. Draw a horizontal line until you reach the supply curve. Then drop straight down to land somewhere between 650 and 700 units supplied per day. Check out the diagram below.

A good estimate may be to use the midpoint. Add up those values and divide in half.

(650+700)/2 = 1350/2 = 675

Therefore, we estimate that 675 sandwiches per day would be supplied if the price was $3.50 per sandwich.

Answer: Jane has a higher paying rate

Step-by-step explanation: Tim job pays 10 dollar per hour but Jane job pays 12 dollars an hour.

a) Since the triangles are congruent, and ΔABC is congruent to ΔDEF, segments AB and DE have the same value. Therefore, you can use algebra to solve for x when using the knowledge that (12 - 4x) is equal to (15 - 3x).

To solve:

12 - 4x = 15 - 3x

12 = 15 + x

-3 = x

Therefore, x is equal to -3.

b) To find the value of AB, plug in the value of x found in part a).

12 - 4x

12 - 4(-3)

12 - (-12)

12 + 12 = 24

Thus, segment AB is equal to 24.

c) As shown in part b), plug in the value of x found in part a) to find the value of segment DE.

15 - 3x

15 - 3(-3)

15 - (-9)

15 + 9 = 24

Thus, segment DE is also equal to 24.

We can confirm the knowledge of the equal side lengths because the triangle are congruent. This means that all the side lengths in the triangle are the same, which is confirmed when algebraically plugging in the value of x to solve for the values of the segments AB and DE.

I hope this helps!

Answer: true

Step-by-step explanation:

true

Hence, 17394 / 394 is the sine of angle M in the triangle MNO.

The ratio of the length of the side directly opposite the angle to the length of the hypotenuse is known as the sine of an acute angle in a right triangle.

Given that angle O in the triangle MNO is a right angle, angle M is sharp. OM and NM are also given as 15 and 17, respectively.

We must determine the length of the hypotenuse, which is ON, in order to determine the sine of angle M. We may apply the Pythagorean theorem, which asserts that the hypotenuse's square length in a right triangle equals the sum of the squares of the other two sides.

Using triangle MNO as our example, we obtain:

OM2 + NM2 = ON2

ON² = 15² + 17²

ON² = 394

ON = √394

We can get the sine of angle M now that we know how long the hypotenuse is:

sin(M) equals NM/ON

sin(M) = 17 / √394

By multiplying the numerator and denominator by 394, we may rationalise the denominator to make this expression simpler:

sin(M) = 17 / √394 * √394 / √394

sin(M) = 17√394 / 394

ON² = 15² + 17²

ON² = 394

ON = √394

We can get the sine of angle M now that we know how long the hypotenuse is:

sin(M) equals NM/ON

sin(M) = 17 / √394

By multiplying the numerator and denominator by 394, we may rationalise the denominator to make this expression simpler:

sin(M) = 17 / √394 * √394 / √394

sin(M) = 17√394 / 394

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This means that there exist real-valued constants c' and c'' such that c' * n^3 ≤ f(n) ≤ c'' * n^3 for all n ≥ n0, satisfying the definition of big-Theta.

To show that the function f(n) = 4n^3 - 7n^2 + 2n - 5 is Θ(n^3), we need to find constants c' and c'' and an integer constant n0 such that for all n ≥ n0, c' * n^3 ≤ f(n) ≤ c'' * n^3.

Let's start by analyzing the upper bound. We want to find a constant c'' such that f(n) ≤ c'' * n^3 for all n ≥ n0. Considering the highest order term, 4n^3, we can see that for n ≥ 1, 4n^3 will always dominate the other terms in f(n). Therefore, we can choose c'' = 4.

Next, let's analyze the lower bound. We want to find a constant c' such that f(n) ≥ c' * n^3 for all n ≥ n0. Again, considering the highest order term, 4n^3, we can see that the other terms in f(n) (-7n^2, 2n, -5) are of lower order. Thus, we can ignore them when determining the lower bound. Therefore, we can choose c' = 4.

In summary, we have shown that f(n) = 4n^3 - 7n^2 + 2n - 5 is Θ(n^3) by choosing c' = 4, c'' = 4, and any n0 ≥ 1.

This means that there exist real-valued constants c' and c'' such that c' * n^3 ≤ f(n) ≤ c'' * n^3 for all n ≥ n0, satisfying the definition of big-Theta.

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Answer:

f(x) = x/4

Step-by-step explanation:

To find the inverse of a function replace the positions of x and y. Then isolate y.

y = 4x

x = 4y

x/4 = y

f(x) = x/4

Answer:

400,000

Step-by-step explanation:

Calculate the doubling time period-

Doubling time period(t)=

doubling time period(t)= 2

Calculate the new population using the doubling time formula below where t is the number of doubling periods:

Population = Initial Population * \(2^{t}\)

Population = 100000 * \(2^{2}\)

Population = 100000 * 4

Answer: 8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

How to solve

× + 5 = 13

subtract from both sides of the equation.

× + 5 - 5 = 13 - 5

13 - 5= 8

please give me brainliest and a thanks.

As asked by the question, the value of K for a given equation of a line is equal to the slope of the line.

A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it.

A line's steepness may be determined by looking at its slope. Slope is computed mathematically as "rise over run" (change in y divided by change in x).

The value of K for a given line is equal to the slope of the line. Since lines are generally expressed in the form of y = mx +b , where m is the slope of the line and b is the y-intercept of the line. Here , the value of K will be equal to the slope m of the line.

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Answer:

\(y = \frac{-1}{9}\)

Step-by-step explanation:

\(7y + 4 = 3 - 2y\)

add \(2y\)  to both sides

\(7y + 4 + 2y = 3 -2y + 2y \\9y + 4 = 3\)

add \(-4\) to both sides

\(9y + 4 -4 = 3 - 4 \\9y = -1\)

divide both sides by \(9\)

\(\frac{9y}{9} = \frac{-1}{9} \\\)

\(y = \frac{-1}{9}\)

The solution to the equation 7y + 4 = 3 - 2y is y = -1/9.

Here, we have,

To solve for y in the equation 7y + 4 = 3 - 2y, we can follow these steps:

Step 1: Combine like terms on both sides of the equation:

7y + 2y = 3 - 4.

Simplifying:

9y = -1.

Step 2: Divide both sides of the equation by 9 to isolate the variable y:

(9y)/9 = (-1)/9.

Simplifying:

y = -1/9.

Therefore, the solution to the equation 7y + 4 = 3 - 2y is y = -1/9.

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Answer:

10 miles

Step-by-step explanation:

The information given forms a right angled triangle ; hence, we can use Pythagoras rule to solve for the distance, x

Recall:

Hypotenus = sqrt(opposite ² + adjacent ²)

Hypotenus = x

Therefore,

x = sqrt(6² + 8²)

x = sqrt(36 + 64)

x = sqrt(100)

x = 10

Distance between tween my friends house and my house = 10 miles

The tangent value of 300 degrees is approximately -1.732.

To find the tangent value of an angle in Quadrant IV with a reference angle of 60 degrees, we need to determine the actual angle in Quadrant IV.

In Quadrant IV, the reference angle is subtracted from 360 degrees to obtain the actual angle. Thus, the actual angle in Quadrant IV would be 360 degrees - 60 degrees = 300 degrees.

The tangent function can be calculated using a calculator or by referring to a tangent table.

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Answer:

answer gonna be B :)))

Step-by-step explanation:

Answer:

I think it would be 10 inches but I am not sure