how to integrate (x^2)/(4-x^3)^1/2

Answer:

(4x+5i)(4x-5i)

Step-by-step explanation:

Answer:

10 units

Step-by-step explanation:

Here, legs = base and perpendiculars.

So, Clearly given Base = 6 units Perpendicular = 8 cm

Square's Side = Hypotenuse.

By Pythagoras theorem,

H² = B²+P²

H ² = 6²+8²

H² = 36+64 = (10)²

H = 10 units.

Square's Side length = 10 units

Answer:

ok

Step-by-step explanation:

A translation by 3 units to the left and 2 units down.

Given points are:-

Q' = (3, 2) ; Q = (6, 4)

As Q' is the image of Q under translation,

The translation is from (6, 4) to (3, 2).

That is the values (h, k) was added to the coordinates where ...

6 + h = 3

or, h = -3  ....... a translation of 3 to the left.

It means on the x-axis, the point changed from 6 to 3, which means that the point was shifted 3 units to the left.

and

4 + k = -2

or, k = -2   ....... a translation of 2 to the down.

it means that on the y-axis, the point changed from 4 to 2, which means that the point was shifted from 2 units to down.

To learn more about translation, visit: https://brainly.com/question/13787782

#SPJ9

9514 1404 393

Answer:

  2 years

Step-by-step explanation:

Use the interest formula with the given information. Solve for t.

  I = Prt

  30 = 500×0.03×t

  30/15 = t = 2 . . . . . . divide by the coefficient of t

The account lasted 2 years.

Answer:

Domain- {-2,2}

Range-{-3,2}

Step-by-step explanation:

Find each boundary of the line and make the corresponding points because its a continuous line.

Answer:

Step-by-step explanation:

Thus if you are not allowed to repeat a digit the number of possible 4 digit numbers you can construct from 1,2,3,4 is 4 3 2 1 = 24.

The number of 4-digit numbers can you write if you can use only digits 1 and 2 is 16.

Given that, using only digits 1 and 2 form 4-digit numbers.

Digits are the single symbols used to represent numbers in Maths. For example, in number 89, 8 and 9 are two digits. Hence, the numerals such as 0, 1, 2, 3,4, 5,6,7,8,9, and 0 are the form of digits which are used to represent a combination of numbers and do arithmetic operations in our day to day life.

Here,

For the first digit you are picking from 2 digits.

For the second digit you are picking from 2 digits.

For the third digit you are picking from 2 digits.

For the fourth digit you are picking from 2 digits.

2×2×2×2=16

4-digit numbers

1111, 2111, 1211, 1121, 1112, 1221, 2112, 1122, 2211, 1212, 2121, 2221, 1222, 2122, 2212 and 2222.

Therefore, the number of 4-digit numbers can you write if you can use only digits 1 and 2 is 16.

To learn more about the number formation visit:

https://brainly.com/question/14246357.

#SPJ2

Shanika most likely prefers the reflective observation learning style, as she enjoys thinking deeply about information, writing about it, and discussing it with others. Thus, Option D is correct.

The reflective observation learning style involves individuals who prefer to think deeply about information and take the time to analyze and reflect upon it before coming to a conclusion. They often enjoy writing and discussing their thoughts and ideas with others, as it helps them to further clarify their thinking and gain new perspectives.

Shanika's enjoyment of thinking about information, writing about it, and discussing it with others aligns well with the reflective observation learning style. This style of learning is often associated with individuals who are analytical, introspective, and enjoy delving into complex topics.

By taking a reflective approach to learning, individuals can gain a deeper understanding of the information they are studying and develop a more nuanced perspective on the topic. Option D holds true.

Learn more about learning style https://brainly.com/question/3274282

#SPJ11

Answer:

dark blue

Step-by-step explanation:

The farmer needs at least 25 tomatos

He needs to pick at least 11 more

therefore

it's the dark blue

t>11

Answer: There are 75 adults.

Step-by-step explanation:

2/5 = 4/10

4/10 + 3/10 = 7/10

1 - 7/10 = 3/10

3/10 of 250 = 75

Answer:

75 adults

Step-by-step explanation:

first, we work out how many boys and girls there are:

2/5 x 250 = 100

so, 100 people are girls

3/10 x 250 = 75

so, 75 people are boys

100 girls + 75 boys = 175 boys and girls

since the rest are adults, we subtract 175 from the total:

250 - 175 = 75

75 people are adults.

Answer:

120 apples are in the store

The closest option to the reorder point is 71.40 pounds.

To determine the reorder point, we need to find the demand during the lead time and the safety stock.

First, let's calculate the demand during the lead time. The mean daily rate is 15 pounds, and it takes 4 days for the order to arrive. So, the mean demand during the lead time is 15 pounds/day * 4 days = 60 pounds.

Next, let's calculate the safety stock. The pizza shop wants to limit the probability of a stockout to 7 percent. We can find this value using the z-score table.

Looking up the z-score corresponding to a 7 percent probability, we find that it is approximately 1.89.

The standard deviation is given as 6 pounds.

So, the safety stock is calculated as 1.89 * 6 pounds = 11.34 pounds.

Finally, the reorder point is the sum of the mean demand during the lead time and the safety stock.

Reorder point = 60 pounds + 11.34 pounds = 71.34 pounds.

Therefore, the closest option to the reorder point is 71.40 pounds.

To learn more click the below link

https://brainly.com/question/14214111

#SPJ11

Answer:

1/6 is the fobability of a polygon

The acres of vacant land that the county have now will be 144 acres.

Since 36% has been used, the remaining percentage will be:

= 1 - 36%

= 64%

Therefore, the acres of vacant land that the county have now will be:

= 64% × 225

= 64/100 × 225

= 0.64 × 225

= 144

Therefore, the acres of vacant land that the county have now will be 144 acres.

Learn more about percentages on:

brainly.com/question/24877689

#SPJ1

The above diagram shows the situation.

To compute the volume of just the shell we have to calculate the volume of the bigger sphere, which has a radius of 4.5 cm, and then subtract to it the volume of the smaller sphere, which has a radius of 4 cm.

The volume of a sphere is computed as follows:

Substituting with r = 4.5 cm, the volume of the bigger sphere is:

Substituting with r = 4 cm, the volume of the smaller sphere is:

Finally, the volume of the shell is:

Answer:

d Hamburgers and spaghetti are preferred almost equally.

The area of ​​the balloon, rounded to the nearest square centimeter, is about 201 cm²

The distance around the boundary of a circle is called the circumference. The distance across a circle through the centre is called the diameter. The distance from the centre of a circle to any point on the boundary is called the radius.

The surface area of ​​the balloon can be estimated using the following formula:

Area ≈ 4πr²

where r is the radius of the balloon.

To find the radius of the balloon, we can use the formula for the circumference of a circle:

Circumference = 2πr

Since the circumference of the balloon is 16 cm, we can solve for r as:

16 cm = 2πr

r = 8 cm/π

Now that we know the radius of the sphere, we can use the area formula  to approximate it:

Area ≈ 4π(8/π)²

≈ 201 cm²

Therefore the  area of ​​the balloon, rounded to the nearest square centimeter, is about 201 cm²

Learn more about diameter here

https://brainly.com/question/5501950

#SPJ1

The group had predicted their snowman to be 8 inches lower than the actual height, which means their prediction was 72 inches tall.

To find the predicted height of the snowman, which was 10% lower than the actual height of 80 inches, we can calculate 10% of 80:

In the snowman-building contest, Jane and her friends made a prediction about the height of the snowman they would build.

When they completed their creation, they measured the snowman and found it to be 80 inches tall.

However, their prediction had been 10% lower than the actual height.

To determine the predicted height, we need to calculate 10% of 80.

This can be done by multiplying 80 by 10/100 or simply 0.10.

The result is 8, indicating that their prediction was 8 inches lower than the actual height.

Thus, the group had initially predicted their snowman to be 8 inches less than the final measurement of 80 inches.

To find the predicted height, we subtract 8 from 80, yielding a predicted height of 72 inches.

In summary, Jane and her friends had anticipated their snowman to be 72 inches tall, but they ended up constructing a snowman that reached a height of 80 inches at the winter carnival.

For similar question on prediction.

https://brainly.com/question/31561722

#SPJ11

Answer:

439 :)

Step-by-step explanation:

12,634/6

439

Answer:

2105.66667 or 2105.67 :)

Step-by-step explanation:

hope this helps! have a great day!!

Answer: 3.4/8 or 0.425

Step-by-step explanation:

Use this Rule: a/b * c/d = ac/bd

Simplify numerator (top): 1 * 3.4 = 3.4

Than Simplify denominator (bottom): 2 * 4 = 8

Finally: 3.4/8 or 0.425 (decimal)

This is my answer and I know this is correct because of using the Rule which demostrates that you should multiply top and bottom

The length and the width of the rectangle are 10 inches and 6 inches respectively.

In the question, we are given that the length of a rectangle exceeds its width by 4 inches, and the area is 60 square inches.

We are asked for the length and the width of the rectangle.

We assume the width (w) of the rectangle to be x inches.

Its length (l), exceeds its width (w) by 4 inches.

Thus, its length (l) = x + 4 inches.

Now, the area can be calculated using the formula, A = l*w, where A is its area, l is its length, and w is its width.

Thus, the area = (x + 4)x = x² + 4x.

But, we are given that the area is 60 square inches.

Putting the value, we get a quadratic equation:

x² + 4x = 60.

or, x² + 4x - 60 = 0,

or, x² + 10x - 6x - 60 = 0,

or, x(x + 10) - 6(x + 10) = 0,

or, (x - 6)(x + 10) = 0.

By the zero-product rule, we get:

Either, x - 6 = 0, or, x = 6,

or, x + 10 = 0, or, x = -10, but this is not possible as the width of a rectangle cannot be negative.

Thus, the width = x = 6 inches.

The length = x + 4 = 10 inches.

Thus, the length and the width of the rectangle are 10 inches and 6 inches respectively.

Learn more about quadratic equations at

https://brainly.com/question/441013

#SPJ1

To help Tim get the refrigerator into the truck, we need to calculate the force he should apply on the ramp. The fridge weighs 250N, and the ramp is 40m long while the truck bed is 3m high. First, find the incline angle of the ramp by using the right triangle with a 3m rise and 40m hypotenuse.

To get the refrigerator into the truck bed, Tim will need to use a force that is greater than the weight of the fridge. This force will need to overcome the force of gravity, which is pulling the fridge down towards the ground. Since the ramp is 40 meters long, Tim will have a longer distance to work with, which means he can use less force to get the fridge up the ramp.

However, the ramp will also increase the distance that Tim will need to move the fridge, which will require more force. Ultimately, the force that Tim needs to use will depend on the angle of the ramp and the friction between the fridge and the ramp.

Step 1: Calculate the angle using the sine function:
sin(angle) = opposite side (3m) / hypotenuse (40m)
angle = arcsin(3/40) ≈ 4.29 degrees

Step 2: Calculate the force required along the ramp:
Force_required = weight * sin(angle)
Force_required = 250N * sin(4.29 degrees) ≈ 18.87N

Learn more about force here: brainly.com/question/30526425.

#SPJ11

Answer: 40.0 ul = 0.000039999999999999996 L

Explanation: 40.0 ul/1,000,000=0.000039999999999999996

Answer:hi the answer is D

Step-by-step explanation:

i just took the test!

Answer:

D

Step-by-step explanation:

Edg2021

Answer:

4

Step-by-step explanation:

Answer:

2 and 1/2

Step-by-step explanation:

(the first one)

curve C in the first quadrant from (0, 2) to (√2, √2).

What is Quadrant?

Quadrant: Each of the four quarters of a circle or instrument used for angular measurements of altitude in astronomy and navigation, typically consisting of a graduated quarter circle and a sighting mechanism.

To integrate the function f(x, y) = x^2 - y over the given curve C: x^2 + y^2 = 4 in the first quadrant from (0, 2) to (√2, √2), we can parameterize the curve C and then evaluate the line integral.

We can parameterize the curve C as follows:

x = rcos(t)

y = rsin(t)

Since the curve is defined on the circle with radius 2, we have r = 2. Thus, the parameterization becomes:

x = 2cos(t)

y = 2sin(t)

To determine the limits of integration for t, we need to find the values of t that correspond to the given points on the curve.

For the starting point (0, 2), we have:

x = 2*cos(t) = 0

Solving for t, we find t = π/2.

For the ending point (√2, √2), we have:

x = 2*cos(t) = √2

Solving for t, we find t = π/4.

Now we can calculate the line integral of f(x, y) over C using the parameterization:

∫[C] f(x, y) ds = ∫[t=π/2 to t=π/4] (x^2 - y) ||r'(t)|| dt

where ||r'(t)|| represents the magnitude of the derivative of the vector function r(t) = (x(t), y(t)).

Let's calculate the derivatives:

x'(t) = -2sin(t)

y'(t) = 2cos(t)

Therefore, ||r'(t)|| = sqrt(x'(t)^2 + y'(t)^2) = sqrt((-2sin(t))^2 + (2cos(t))^2) = sqrt(4sin(t)^2 + 4cos(t)^2) = sqrt(4) = 2.

Substituting the parameterization, limits of integration, and ||r'(t)|| into the line integral, we have:

∫[C] f(x, y) ds = ∫[t=π/2 to t=π/4] (x^2 - y) ||r'(t)|| dt

= ∫[t=π/2 to t=π/4] ((2cos(t))^2 - 2sin(t)) * 2 dt

= 2∫[t=π/2 to t=π/4] (4cos(t)^2 - 2sin(t)) dt.

Now we can evaluate this definite integral to find the value of the line integral over the given curve C in the first quadrant from (0, 2) to (√2, √2).

To learn more about Quadrant from the given link

https://brainly.com/question/30196269

#SPJ4

Answer:

30 kilogram/cubic meter

Step-by-step explanation:

Answer:

mass=180kg and the volume=6m³.

then the formula to find density is= mass/volume

using this formula,180kg/6m³=30kg/m³