intergrate x×(x²-3)³

Answers

Answer 1

Answer:   [tex]\large \boldsymbol{\dfrac{1}{8 } (x^2-3)^4+c}[/tex]

Step-by-step explanation:

[tex]\displaystyle \large \boldsymbol{} \int\limits {x(x^2-3)^2 } \, dx =\int\limits \frac{1}{2} {} \, (x^2-3)' (x^2-3)^3 dx =\frac{1}{8} (x^2-3)^4+c[/tex]


Related Questions

I need help asap!!!​

Answers

There are 360° total in a circle, so AB is half of the circle so it’s 180°. CBA is 180° also. 180°+55°=235°, 360-235= 125° which is AC

Easy Geometry Question.

Answers

y = 180 - 120 = 60°
x = 180 - 2(60) = 60°
Therefore both x and y are 60° (D).

Answer:

the answer will be 60  

Step-by-step explanation to find x and y's value:

x = 180-2(60)

now, we will do the same method to find y's value

y = 180-120 which will be 60

i hope this helps :)

Rational number between 1/3 and 1/9

Answers

Answer:

2/9

Step-by-step explanation:

LCM of 3 and 9 = 9

[tex]\dfrac{1}{3}=\dfrac{1*3}{3*3}=\dfrac{3}{9}\\\\\\Rational \ number \ between \dfrac{1}{9} \ and \dfrac{3}{9} \ is \dfrac{2}{9}[/tex]

Solve for 'x' in both of the following problems. Show all your work/explanations on your own paper and then submit a picture of your work and answers in the dropbox below.

Answers

Answer/Step-by-step explanation:

1. <B is an inscribed angle in a circle which intercepts arc AC.

Therefore, m<B = ½ of m<AC

B = ½ * 128° = 64°

x = 180 - (64 + 43)

x = 180 - 107 = 73°

2. The circle given shows two chords intersecting at point H.

According to intersecting chords theorem, the products of the segments formed by one chord equals the product of the segments formed by the other.

Therefore,

[tex] 10*x = 14*5 [/tex]

Solve for x

[tex] 10x = 70 [/tex]

Divide both sides by 10

[tex] x = 7 [/tex]

answer the question pls

Answers

Answer:

Question number 8 u place the number 1 line before -1 on the left.

Step-by-step explanation:

cuhcuhcuhcuchcuhcuhc

Malia measures the longer side of a dollar bill using a ruler at school. Which of the following is most likely the quantity she measured?

Answers

Answer:

Step-by-step explanation:

The most likely quantity is centimetres.

The second option can be inches.

Hope this helps

plz mark it as brainliest!!!!!!!!!

What is the least common multiple of 46, 49, and 17?

Answers

Answer:

38318

Step-by-step explanation:

Break the numbers into prime factors

46 = 23*2

49 = 7*7

17 = 17*1

The least common multiple is

23*2*7*7*17 = 38318

I need help factoring this question, Factor 4(20) + 84.

Answers

Answer:

164

Step-by-step explanation:

B for brackets

O for of

D for division

M for multiplication

A for addition

S for subtraction

You first start with the brackets (20) and multiply with 4 which is equal to 80 and then add it to 84 which makes 164

I hope this helps

Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month to answer the questions.

Two box plots shown. The top one is labeled Males. Minimum at 0, Q1 at 1, median at 20, Q3 at 25, maximum at 50. The bottom box plot is labeled Females. Minimum at 0, Q1 at 5, median at 6, Q3 at 10, maximum at 18 and a point at 43

Part A: Estimate the IQR for the males' data. (2 points)

Part B: Estimate the difference between the median values of each data set. (2 points)

Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)

Part D: Provide a possible reason for the outlier in the data set. (2 points)

Answers

Answer:

The formula for iqr is q3 - q1

24

Step-by-step explanation:

The box plot is a visual way of presenting a dataset where the rectangle is used to represent the quartiles.

The IQR of the male dataset is 24.The difference in median of both datasets is 14.The best measure of center to use for the female box plot is the median. The best measure of center to use for the male box plot is the mean.A possible reason for an outlier is human error.

The given parameters are:

Male:                                                               Female

[tex]Minimum = 0[/tex]                                                 [tex]Minimum = 0[/tex]

[tex]Q_1 = 1[/tex]                                                              [tex]Q_1 = 5[/tex]

[tex]Median = 20[/tex]                                                    [tex]Median = 6[/tex]

[tex]Q_3 = 25[/tex]                                                            [tex]Q_3 = 10[/tex]

[tex]Maximum = 50[/tex]                                               [tex]Maximum = 18[/tex]

A. IQR  for male dataset

The IQR is calculated as follows:

[tex]IQR = Q_3 - Q_1[/tex]

For the male's data:

[tex]IQR = 25-1[/tex]

[tex]IQR = 24[/tex]

Hence, the IQR of the male dataset is 24.

B. Difference in median values

We have:

[tex]Median = 20[/tex]  ----- Male dataset                                                    

[tex]Median = 6[/tex] ----- Female dataset

So, the difference (d) is:

[tex]d = 20 - 6[/tex]

[tex]d = 14[/tex]

Hence, the difference in median of both dataset is 14.

C. Best measure of center

The female box plot (see attachment) has an outlier. This means that the measure of center to use for the female dataset is the median.

The male box plot has no outlier; this means that the mean can be used as a measure of center for the male box plot

D. Reason for outlier

There are several reasons that could cause an outlier in a dataset. One of the reasons is human error during data entry

Read more about box plots at:

https://brainly.com/question/1523909

if f(x)=3x+6 what is the inverse of f(x)

Answers

Answer:

The inverse is 1/3x-2

Step-by-step explanation:

y = 3x+6

Exchange x and y

x = 3y+6

Solve for y

Subtract 6 from each side

x-6 = 3y+6-6

x-6 = 3y

Divide by 3

x/3 -6/3

1/3x -2 = y

The inverse is 1/3x-2

Answer:

[tex]f^{-1} (x)=\frac{1}{3}x-2[/tex]

Step-by-step explanation:

Replace f(x) with y

y=3x+6

Swap x and y

x=3y+6

Solve for y

3y=x-6

y=1/3x-2

The circumference of a circle is 6pi inches. What is the area of the circle

Answers

Answer:

B0 A = 9 Pi

Step-by-step explanation:

c = 6 Pi (given)

c = Pi 2r (standard formula)

r = c / (2 Pi)

r = 6 Pi / (2 Pi) = 3 (substitute 6 Pi for c)

So

A = Pi r**2

A = Pi 3**2

A = 9 Pi

Which number is closest to O on the number line?
-0.26
0.3
0.275
-0.51

Answers

Answer:

-.26

Step-by-step explanation:

If you take the absolute value (indicates how far a number-negative/positive- is from 0) of each number u listed you will find that .26 is the smallest number,thus smallest number.

Answer:

-.26 is closest to 0 on the number line.

Step-by-step explanation:

To find distance we use absolute value to find the smallest absolute value.

The absolute value of each number is as follows

-0.26 (0.26)

0.3 (0.3)

0.275 (0.275)

-0.51 (0.51)

In order from least to greatest we have

.26, .275, .3, .51

Therefore -.26 is closest to 0 on the number line.

Good luck!!

2.) Which expression has a value of -4?
A. (4) B. 1-41
C. 141
D.-141
3.) Which list of integers is in order from least to greatest?
A. -4,-7,0, 2
B. 0, 2, -4,-7
C-7, -4,0,2
D 2,0, -7,-4
I
4.) What is the value ofthe expression?
A -45 B. 19 C. 19
11+-24 + (-32)
D. 67
5.) Find the difference.
A. -47 B. -17
-32-(-15)
C. 17 D. 47
P

Answers

2.)a 3.)b 4.)a 5.)a
............

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: X < 10
Hope this helps!

Answer:

x<10

Step-by-step explanation:

On the number line it shows that the dot is at 10.  Since the dot is not colored in, we know it's not greater/less than or equal to.  Greater/less than or equal to is where it shows the symbol, but it's underlined, like this: ≤.  Only when the dot is colored in, is there a possibility it is greater/less than or equal to.  So it can be greater than or less than something.  Since it starts at 10 and is decreasing, it is going to be less than.

X will be less than something.  And because the dot is at 10, it means 10 was the start.  X is less than 10 since the arrow is pointing to where the numbers are decreasing.  So, x<10.

K(x)=5^x+2 find (-2)

Answers

Answer:

1

Step-by-step explanation:

K(x)=5^(x+2)

Let x = -2

K(-2)=5^(-2+2)

       = 5^0

      = 1

Answer:

k(- 2) = 1

Step-by-step explanation:

Substitute x = - 2 into k(x) , that is

k(- 2) = [tex]5^{-2+2}[/tex] = [tex]5^{0}[/tex] = 1 [ [tex]a^{0}[/tex] = 1 ]

Please help me it’s important i will give yo u brainlest

Answers

Answer:

Hello,

Step-by-step explanation:

1)

[tex]g(x)=4*\dfrac{x-3}{5} \\g(-7)=4*\dfrac{-7-3}{5} =4*\dfrac{-10}{5} =4*(-2)=-8\\\\[/tex]

2)

[tex]f(a)=-|-3a-1|\\f(-1)=-|-3*(-1)-1|=-|3-1|=-|2|=-2\\\\[/tex]

3)

[tex]f(a)=4^{a+2}+3\\f(1)=4^{1+2}+3=4^3+3=64+3=67\\\\[/tex]

4)

[tex]p(t)=\dfrac{5\sqrt{2t+8} }{4} +3\\p(4)=\dfrac{5\sqrt{2*4+8} }{4} +3\\=\dfrac{5\sqrt{16} }{4} +3\\=\dfrac{5*4 }{4} +3\\=5+3\\=8\\[/tex]

From 38 to 316 inclusive,how many integers can be found that are multiples of 12? 20 Points!

Answers

Answer:

The first multiple of 12 after 38 is 48.

The first multiple of 12 before 316 is 312.

So we have, 48, 60, 72... 312.

Divide by 12...

4, 5, 6, ... 26

Subtract 3 from each term to get... 1, 2, 3... 23

So there are 23 terms!

Hope this helps!

Happy D's Playland charges a $100 flat
fee for parties plus $1.50 per person.
Marta has $125 to spend. Which
inequality could help Marta find the
number of people she can invite?

Answers

Answer:

$16.66

Step-by-step explanation:

$125-$100 = $25

since its $1.50 per person, we do $25 DIVIDED by $1.50 = $16.66.

i hoped this helped :)

A: m_1 = m_4
B: m_2 = m_3
C: m_1 + m_4 = 180°
D: m_2 + m23 = 180°

Answers

Answer:

A

Step-by-step explanation:

True, sometimes true, or false?

The multiple of two consecutive integers is positive​

Answers

Answer: sometimes true

Step-by-step explanation: if the integers are both positive or both negative, the product will always be positive. If the integers are negative and positive, then the answer will be negatove

If a state issued license plates using the scheme of two letters followed by four digits, how many plates could it issue?

Answers

Answer:

Combining these results, it follows that there are 676 x 1000 = 676,000 different license plates possible.

Segment EF has one endpoint located at E (-7, 2) and its midpoint is located at M (0.5, 4). What are the coordinates of point F? Show all work.
100 POINTS

Answers

Answer:

F(8, 6)

Step-by-step explanation:

Use midpoint formula to find the missing F(x, y):

M = (E + F)/2(-7 + x)/2 = 0.5 ⇒ -7 + x = 1 ⇒ x = 1 + 7 = 8(2 + y)/2 = 4 ⇒ 2 + y = 8 ⇒ y = 8 - 2 = 6

Using Midpoint formula

[tex]\boxed{\sf M=\dfrac{x_1+x_2}{2},\dfrac{x_2+y_2}{2}}[/tex]

E(-7,2)M(0.5,4)F(x,y)

[tex]\\ \sf\longmapsto (0.5,4)=\left(\dfrac{-7+x}{2},\dfrac{2+y}{2}\right)[/tex]

[tex]\\ \sf\longmapsto \dfrac{-7+x}{2}=0.5[/tex]

[tex]\\ \sf\longmapsto -7+x=1[/tex]

[tex]\\ \sf\longmapsto x=1+7[/tex]

[tex]\\ \sf\longmapsto x=8[/tex]

And

[tex]\\ \sf\longmapsto \dfrac{2+y}{2}=4[/tex]

[tex]\\ \sf\longmapsto y+2=8[/tex]

[tex]\\ \sf\longmapsto y=8-2[/tex]

[tex]\\ \sf\longmapsto y=6[/tex]

F(x,y)=(8,6)

Bart opens a bank account and deposits $10 each week. If he has $90 in his account, how many weeks has he been depositing money?

Answers

The number of weeks Bart has been depositing money is 9 weeks according to investment and time.

The number of weeks of money depositing will be given by the formula -

Number of weeks = total amount deposited each week/total number of weeks × 100

Keep the values in formula to find the number of weeks of money deposit

Number of weeks = 90/10

Perform division that will include cancelling zeroes

Number of weeks = 9

Hence, Bart deposited the money for 9 weeks.

Learn more about calculations on division -

https://brainly.com/question/28119824

#SPJ1

To paint a wooden cube, Pinocchio used 4 gram of paint. When it is dry, he cut the cube into 8 equal cubes of smaller size. How much paint additional paint does Pinocchio need to paint the unpainted surfaces of smaller cubes?

Answers

Answer:

game1321.netlify.app

Step-by-step explanation:

This is a test sorry I'm trying to see if you can post links in comments

Use number properties to simplify the following expression.

-5 + (5 + 3)

In the box below, show each step in simplifying the expression and explain which property you used in each step.

Answers

Answer:

-5 + (5 + 3) =(-5 + 5) + 3 = 0 + 3 = 3

[tex]\\ \sf\longmapsto -5+(5+3)[/tex].

Remove brackets

[tex]\\ \sf\longmapsto -5+5+3[/tex]

[tex]\\ \sf\longmapsto (-5+5)+3[/tex]

[tex]\\ \sf\longmapsto 0+3[/tex]

[tex]\\ \sf\longmapsto 3[/tex]

In ΔABC, m∠A=a, m∠B=β, m∠C=y. AB = c, AC = b, BC = a. Find the remaining parts of each triangle if the following parts are given.
a=5, b=7, y=31°

Answers

Answer:

9.013 square units

Step-by-step explanation:

A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 2 milliliters of compound B. If a chemist wants to make 280 milliliters of the drug, how many milliliters of compound B are needed?

Answers

Answer:

42 milliters of compound B are needed......Actually I am not sure hope this may urr answer....

CLASSIFY THE TRIANGLES WHOSE SIDES MEASURE:


A. a = 15cm, b = 20cm and c = 25cm

B. a = 3cm, b = 3cm and c = 1cm

Answers

Problem 1

a^2+b^2 = 25^2+20^2 = 225+400 = 625

c^2 = 25^2 = 625

We get the same output of 625.

This shows that a^2+b^2 = c^2 is true for (a,b,c) = (15,20,25). We have a pythagorean triple and this is a right triangle. This is also scalene as all three sides are different lengths.

Answer: Right scalene triangle

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

Problem 2

a^2+b^2 = 3^2+3^2 = 18

while c^2 = 1^2 = 1

So a^2+b^2 = c^2 is not a true equation for this a,b,c set of values. We do not have a right triangle. Instead we have an acute triangle based on these rules below

If a^2+b^2 = c^2, then we have a right triangleIf a^2+b^2 > c^2, then we have an acute triangleIf a^2+b^2 < c^2, then we have an obtuse triangle

We see that we have the form a^2+b^2 > c^2 since 18 > 1.

This acute triangle is also isosceles because a = b.

Answer: Isosceles acute triangle

Answer:

Triangle A is a scalene triangle.

Triangle B is an isosceles triangle

Exaplanation for the 1st Answer:

A scalene triangle is a triangle whose all side lengths are different.

Triangle A has the side lengths are 15, 20, 25. All these lengths are different, so this is a scalene triangle.

Explanation for the 2nd Answer:

An isosceles triangle has 2 sides lengths the same and the other side length different. Triangle B has side lengths of 3, 3, 1. Two side lengths are same, but 1 side length is different. So, this is an isosceles triangle.

how do you find the length of the hypotenuse when you have only the length of the altitude of the hypotensuse and a length of a leg?

Answers

Answer:

By using The Pythagorean Theorem:

[tex]/Hypotenuse/^{2} = /Length of altitude/^{2} + /Length of leg/^{2} \[/tex]

/Hypotenuse/ = [tex]\sqrt\ /Length of altitude/^{2} + /Length of leg/^{2} \}[/tex]

Step-by-step explanation:

The Pythagorean theorem states that: Given a Right-angled triangle, the square of the hypotenuse equals the sum of squares of the other two sides ( Here, being the length of the altitude and length of leg). That is,

[tex]/Hypotenuse/^{2} = /Length of altitude/^{2} + /Length of leg/^{2} \[/tex] and hence,

/Hypotenuse/ = [tex]\sqrt\ /Length of altitude/^{2} + /Length of leg/^{2} \}[/tex]

For example, If the length of the altitude is 4m and the length of leg is 3m. Using The Pythagorean theorem, the length of the hypotenuse will be

[tex]/Hypotenuse/^{2} = /Length of altitude/^{2} + /Length of leg/^{2} \\\/Hypotenuse/ = \sqrt{/Length of altitude/^{2} + /Length of leg/^{2}} \\/Hypotenuse/ = \sqrt{4^{2} + 3^{2} }[/tex]

[tex]/Hypotenuse/ = \sqrt{16+9} \\/Hypotenuse/ = \sqrt{25} \\/Hypotenuse/ = 5m[/tex]

The length of the hypotenuse for the given example will be 5m.

This is how to find the length of an hypotenuse.

true or false the ratio of the circumfernce of a circle to its diameter is called pi​

Answers

That's true. Pi is known to be defined as the ratio of the circumference of a circle to its diameter.

True pi is the circumference of the diameter
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